Tractor beam oscillator and pseudorandom number generators

[nokangaroo]

A tractor beam which can be switched between pushing and pulling a block can be
built by inserting additional gliders into a well-known tractor beam pattern.
Something similar by Dean Hickerson is mentioned in the Life Lexicon under the
"sliding block memory" entry (though the actual block pusher is different), but
the use I found for it may be interesting. Feeding this beam with a pseudorandom
signal stream gives a characteristic oscillation amplitude which is independent
of the base period of the PRNG (e. g. p46 or p60) but depends on its randomness,
defined by the value of K in the recursion

Code: Select all

b[n] = b[n-1] XOR b[n-K]

which is the basis of the PRNGs that I tested (see Dean Hickerson's table in the
pattern info to Golly's "DRH-oscillators.rle" file. There isn't much about PRNGs
in the Life Wiki or Life Lexicon). This amplitude differs widely with different
values of K (I suspect the oscillation amplitude would be infinite with truly
random input. With PRNGs you get large cycles, but the pattern won't be truly
periodic because the oscillation boundaries will drift - which is immediately
visible with low randomness input. The drift is down or up, apparently depending
on the K factor. The reason must be that the numbers of signals and gaps in the
pseudorandom input stream don't average out over time, as they should in a truly
random stream. The amplitudes can still be compared though).

The tractor beam's minimum period is 41, but lower period PRNGs can be tested by
multiplying their period (in the example below, setting every 2nd position in
the signal stream to 0, which should have no effect on its randomness - at least
with a truly random stream).

Here are tractor beams in p46, p60 and p92 (other periods are left as exercises
for the reader).
The p46 is shown with Bill Gosper's RANDLWSS.LIF, the others with my own designs
(which I found on my own but don't claim to have invented. For a p46 of my own
see below). I made an attempt to size-optimize them (the p92 could be further
reduced). Gosper's design can also be reduced in size (it seems the pioneers, in
the days of less powerful computers, optimized for population), but I put in the
original that inspired me. The PRNGs have the same K factor (19), and they give
the same oscillation amplitude:

Code: Select all

x = 2105, y = 1012, rule = LifeHistory
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4B139.5B.5B14.A4.6B5.2BA3B7.3A8.2BA3B.3BA2B8.3B.9B$930.4B2.4B39.2B.7B
14.BA14B.2B352.B8.2BAB4.4B17.5B2.2A.A.A3.5B7.ABAB3.4B5.2BABA10.4B.2B
141.3BA2BA8B6.2B3AB16.2BAB3.5B9.4B19.5BAB2.4B12.4B138.5B.5B12.A5.6B5.
B4AB7.A11.2B2A2B.2B2A2B10.5B.4B$929.4B2.4B40.11B13.16B352.3A7.3B3A5.
4B16.5B5.A.A3.5B6.B2AB5.A3B4.5B10.8B123.B4.BABA2B.B2.9BA7B6.4B19.2B2A
.6B8.4B21.2B3AB3.4B11.2B2AB135.12B13.2A4.7B4.6B7.2A10.2B3AB.B3A2B10.
5B.5B$928.4B2.BA2B40.11B14.15B352.A.A7.2B2A3BAB4.4B15.5B5.2A5.3B6.3BA
6.BA2B4.5B9.BA7B121.6BA3BA2B3A10BA6B2A6.B22.2A9B6.4B22.A4B5.4B12.2A
135.9B.3B16.2B.9B2.6B4.5B3.2A5.4B2A.2A4B9.6B.5B$927.4B2.2A2B32.2A7.
11B12.2AB.12B353.A3.A4.B.B3A2B2A5.4B14.5B10.4B6.4B7.BA3B3.5B8.2A4B3A
2B120.6BA11B.7BA4B.B2A30.9B6.4B22.B5A6.2B2A149.4B.5B15.2A10BABA4B3A4.
4B5.A6.4BAB.BA4B8.ABA4B.6B$926.4B2.2B2A32.A2.A2.2A2.11B11.A.AB2.11B
354.4A3.3B.3B.BA.AB4.3BA13.5B10.2A7.4B8.5B3.5B7.2B2A.BA3BAB119.2A4BA
4BA7B2A2BA2BA3B4.B30.7B8.4B24.B2A2B7.BABA147.5B.5B15.A.A5B2A2B3A3B3AB
4.5B6.A5.2A3B.3B2A8.B2A5B.5B$925.4B2.4B34.2A2.A.A2.8B2.B2A9.A5.10B
362.B2AB.4A.3A5.ABAB12.5B11.A6.4B8.7B2.5B6.4B2.7B119.2AB.3BA7BABA2BA
2B2A3B36.8B7.ABAB24.7B7.A3B146.5B.6B15.A.6B3A2BA3B3A2B2.7B4.2A4.B2A7B
2AB6.3BA5B.6B$924.4B2.4B37.2A.B3.7B3.BA.A7.2A5.2B2A6B355.2A4.2B2ABA4.
A3BAB4.2A2B11.5B8.3A6.4B9.2A3B2A2.5B5.4B3.A5BA120.B4.BA3BA5B3A3B41.8B
6.B2AB25.7B8.4B144.6B.7B11.3A3.BA5BAB2AB.6B.8B.2B8.4BABA5B5.10B.6B$
923.4B2.4B38.A2.2B2.7B6.A13.2BABA6B355.2A4.BABABA.2A.A.2B2AB4.4B10.5B
8.A7.4B10.3BA3B2.5B4.4B4.2A3B2A127.BABA2B3.7B41.7B5.3BA26.2A3B2A9.4B
144.5B.8B10.A4.3BA2BA4BA3.4BA4BA8B2A5.A2BA3BA2BAB4.4B.6B.6B$922.4B2.
4B36.2A.A.BA2B.6B7.2A13.10B360.B2A2B.A.2A.ABABAB6.4B9.5B15.A3B11.A5BA
2.2A3B3.4B5.7B139.3BA2BA26BA2BA14B5.4B27.B5AB10.7B3.BABA2B130.6B.9B
13.5AB2A3BAB3.4B2A2B2A7BA.A6.3AB.B3AB4.4B2.6B.6B$921.4B2.4B37.A.2A.A.
A8B22.2BA5B.B2A.A357.BA3BA4.AB2A2B7.4B8.5B14.A3B12.B2AB2AB.ABA3B2.4B
7.5B139.8BA11B4A14BA13B4.4B28.B2AB2AB11.5B2A3BA2BA3B4.B123.2B3AB.B3A
6B12.3A2B4A2BA4.4BA3BA2BA5B.A5.13B2.4B3.6B.6B$920.4B2.4B42.A.A.8B21.B
A2BA2B3.B2AB3A357.3A.4A.B2AB9.4B7.5B13.B3A13.2BABA5BA4BABAB8.2BA2B
138.5BA3BA10BA3BA10BA3BA12B4.4B29.B2AB2AB6.3B2A2B2AB3A5B2A4B.B2A122.B
A2BAB.BA2BAB.BABA11.BA4BABA2B5.8B2AB3A2B3.3A2.6B.5B2.4B4.6B.6B$919.4B
2.4B40.2A2.A4.B3AB22.2B4A6.B4.A356.BA.AB.3B.3B10.4B6.5B12.4B15.2BA8B.
2B2AB9.BABA138.4B.2B4A14BA11B4A12B3.A3B31.B3AB5.4BABA3BA3BA3BA3B2A4B
2A122.5BA.A5B2.B2AB11.6B2AB6.8BA4BA3B4.A2.4B2.11B5.B2A3B.3B2AB90.B.3B
2A4B.B3.4B$918.4B2.4B39.3A.2A4.BA2BAB23.3B2AB4.2A.3A359.2A2B3AB.B12.
4B5.5B11.4B16.2BA8BA3BA10.BABA137.22BA2BA28B2.BABA32.5B4.4BA6B.BABA5B
2A7B123.5BA.A5B3.A3B13.6B6.8B4A6B6.2B2AB.10B6.BAB2AB.B2ABAB86.B.9BA7B
.4B$917.4B2.4B39.A4.B6.A3BAB22.BA3B4.A2.2A344.3BA2B4.B6.BA3B2A2B14.4B
4.5B10.4B18.2B.4B.B2AB.B10.2BAB137.4B.3B17.A24.4B2.2B2A34.3B4.5BA2BA
6B2A2BA2BA8B123.5BA.A5B4.4B12.4B8.5B.2B2A2B2A4B8.2A2.9B7.BA3BA.A3BAB
85.9B2A2BA10B2A$916.4B2.4B41.3AB2AB3.2ABABAB21.B2A5B.A.A345.2B4A4BA4B
6.3A3B16.4B3.2BA2B9.4B19.7B2.ABAB12.BA2B135.A3B.4B18.B22.4B2.4B33.4B
5.5BA8B2.B.BABA2B4.B125.BA2BAB.BA2BAB5.4B11.2B2AB7.5B2.5B2A4B14.3BA2B
9.2A2BA.A2B2A7.4B3.B.9B.B37.4B3.B.5BA3B.B2.10BA2BA10B2A$915.4B2.4B44.
A.2AB.2B2AB2AB13.A8.BA2BA3BA.A.2A.A324.B4.5BA.B2.3B4A5BA4B6.BA2B19.4B
.2BABAB8.ABAB21.6B3.4B11.BA2BA133.B2AB3.4B12.2A.5B.2A16.4B2.4B34.2A5.
2AB.4BABA3B142.2BA3B.3BA2B6.4B8.2AB.2A8.5B3.3A6B15.B2A2B9.2B3A3B3A2B
6.4B.B3A3BA9B.B33.4B.8B2A18BABA9B.B$914.4B2.4B49.5B3A2B13.3A6.2B3AB.
2BAB.A.2A322.11BABA6BA2BA9B2A6.B22.5B2A2BAB6.B2AB22.2BA2B5.4B12.2A
133.BABA5.4B11.A2.5B2.A15.4B2.4B36.A4.A.AB3.3B2AB144.6B.6B7.4B6.A.AB
11.5B3.5AB18.2B2AB9.3BA5BA2B6.2A3B5A2BABA11B31.2A11B3ABA16B2A10B$913.
4B2.4B50.11B15.A4.4BA2B2.2B2.A325.10BA3B2A2B.B4A7B.B2A30.2B2A3BAB6.3B
A22.2B3AB6.4B145.4B7.4B11.9A15.4B2.4B34.3A5.A39.2A116.5B.5B9.4B5.A14.
5B5.B3A17.7B8.12B6.2A2B2A3B2A3BA11B2.B.9B.B3.4B9.2A10B2A11B15.3B.B.3B
$912.A3B2.4B51.10B5.2A8.2A4.7B3.B.2A324.2A9BA3B2A5B4A4B4.B30.2BA4B8.
4B24.A3BA7.4B143.4B9.3BA7.3A2.5A2.3A11.4B2.4B35.A6.2A39.A55.2A60.5B.
5B10.4B3.2A14.5B4.BAB2A16.8B9.5B.4B8.B.2B2A3BA2BA25B2ABA.4B10.B.10B2A
19B2A13B$911.BABA2.A3B52.10B5.A9.4B.8B2.A.A2.2A322.2AB.7BA3B2A8BA2B
36.3BA4B7.4B24.AB3ABA7.4B141.4B11.B2AB6.A2.A.B3AB.A2.A10.ABAB2.4B21.B
4.2BA3B18.2A20.B2A3B3.BA.A5.2BA3B43.A2BAB54.2A.6B.6B.2A7.4B18.5B5.2A.
3A13.11B2.2A2.13B8.3BA3B3A21B3A2B2A2BA3B2A11.11BA19BABA14B$910.2B2A2.
BABA52.11B2.BA.A11.11B2.2A2.A2.A322.B4.6BABA8B41.3B2AB2A6.4B25.B5AB8.
2B2A127.2BA3B3.BA5B13.ABAB6.2A4.B4.2A10.B2AB2.ABAB20.4BA4B4A2B17.A18.
3BABA4B.B2A4.4B4A2B42.2BAB54.A.A5B3.5BA.A8.4B17.5B8.BA.A11.A3B.7B.B2A
2B.5B.6B5.3B.B.3B15.11B2A6BA3B2A8.3B.B.3B14.4BA5BA2BA15B$909.4B2.2B2A
53.12B.B2A11.12B7.2A330.5BA3.7B41.4BA2B5.4B26.7B9.2A2B119.B4.2BABA5B
4A3B15.4B20.2A5.3BA2.B2AB21.4BA5B4A3B2.B.A5B5.A.AB3.3BA2B.B2.6B3A5B5.
6B4A3B2.B.A5B31.BA2B54.AB.3B5.3B.BA10.2BAB16.5B11.A10.A3B2.7B2.11B2.
4B5.6BA3B3A23B3A3B2A2B.B9.14BA9B.ABA4B2A2BA14B$908.4B2.4B53.15B13.12B
351.2BABA9B2A28B2A5B5.4B27.7B10.BA5B3.BA4B105.2AB.2B2A8B2A2BA2B2A3B
11.4B19.A5.4B2.3BA21.2A9BA2BA6BABA6B4.2AB.2B4A3B2A8B3A4B4.7BA2BA6BABA
6B4.B23.ABAB58.B2AB3.B2AB14.2B2A15.5B11.2A8.B3A4.5B.13B.B2A2B3.7B2A3B
A2BA23BA3BA4B9.15B2A11B2A7BA13B$907.4B2.4B53.16B13.11B351.4B2A8B4A26B
4A4B4.A3B28.7B11.8BABA6B4.B98.2A4B2A11B2A2B2A5B10.7B3.B2A3B3.BA.A4.4B
2.4B22.2AB.7B4AB.2B2A3BA6B5.3B4A3B2A3B.4B3A4B5.7B4AB.2B2A3BA7B.B2A22.
ABAB59.2A5.2A16.2A2B14.ABA2B20.4B4.20B2.2A4.7B2A3B2A3BA11B14.3B.B.3B
5.15B2A11B2.6B2A4B.3B.B.3B$906.4B2.4B51.2B.16B12.9B353.3A2BA9B2AB2A
25B2AB2A2B4.A3B29.7B6.B2A9BABA9B.B2A98.5B2A7BA3B.6B2A4B9.3BAB2A3B3A4B
.B2A4.4B2.4B24.B4.4B4A5B2A3BA7B4.3BA2BA3B2ABAB2A2BABA4B4.2AB.4B4A5B2A
3BA9B2A21.2BA2B85.4B13.3BAB19.4B6.2BA2B.2BAB4.3B11.7B5A2BABA9B.12BA3B
A7B6.15B3ABA7B3.4B28.B$905.4B2.BA2B51.2A18B9.2B.10B351.3BA.13B2A28B2A
3B3.B3A31.5B5.3B3A7BA2BA11B2A98.7BABA4BA10B3A4B.B.4BA2BA3BA5B2ABA3B5.
4B2.4B32.2BA8B2A3BA7B5.2B4A4BABAB2A2B2A3B5.A.AB3.2BA8B2A3BA10B22.5B
69.2A15.4B12.3BAB18.4B6.2B3A3B3AB3.3B13.7B3A3BA22B3A3B2A7B6.14B2A7B6.
4B26.3B$904.4B2.2A2B35.2A5.2A8.2AB.15B2A7.16B.B3.B342.3BA50B2.4B24.2A
6.5B4.6B2ABAB.3BABA12B101.B4.2BA3B.A2.8B2A11B2A2BA4BA4BA2BA3B4.4B2.A
3B38.8BABA6B.B2A4.2B4A3BAB2A4B10.A11.8BABA11B21.7B68.A17.4B11.A2BAB
17.ABAB7.B2A2BABA2B2A4.B14.3B.B.3B.12B2.11B2A6BA8B5.3B.B.3B.5BA3B.B9.
4B25.3B$903.4B2.2B2A35.B2AB3.B2AB8.B.4B.8B2.BABA3.26B340.4B.3B17.B24.
4B2.4B23.2B2AB6.3B4.7BA2BA6BABA11B118.3B2A5B2.6B2A4B.4A4B2ABA2B4.4B2.
BABA38.8B2.A5B3.BA.A5.3BA2B3.7B8.2A10.7B3.A5B4.B23.2A3B2A62.2A.2A.A
18.4B10.B3AB16.B2AB8.B2AB2AB2AB2AB35.ABAB3.10B3A2B2A2BA7B37.4B22.7B2.
2A$902.4B2.4B33.AB.3B5.3B.BA12.7B4.A7B2A22B.B337.4B.B3A18.A22.4B2.4B
24.4B5.4B5.7B2ABA3B2.B.BA4B4.B122.B2A3B4.5B3A7BA3B3A4B4.4B2.2B2A38.4B
4.B14.A18.4B18.ABAB22.5BA13.A5BA60.A2.A.A.A20.4B9.5B15.3BA10.3B2A.2A
3B35.B2AB6.13B2ABA6B40.4B21.7B.B2A2B$901.4B2.4B33.A.A5B3.5BA.A12.6B5.
6BABA10BA12B2A335.4B3.A3B12.2A.A3BA.2A16.4B2.4B24.4B6.2A5.2AB.3B3A4B
150.5B2A6B2.B.B2A3B5.4B2.4B38.4B4.4B12.2A18.4B16.B2AB21.6BABAB4.B6.7B
60.2A3.BA3.3B7.A8.4B8.5B14.4B10.2BABAB.BABA2B33.3BA9.B.9B.3B.B.3B41.
4B20.7B2.4B$900.4B2.4B34.2A.6B.6B.2A14.4B6.4BA3BA8B2A12B2A334.4B5.A3B
11.A2.5B2.A15.4B2.ABAB26.4B6.A4.A.AB3.B2A3B153.5B2A3B16.4B2.4B38.4B5.
B2A3B31.2BAB14.3BA5.B4.B2A3B.B2.8B2ABA2B.B2A5.BA3BAB64.4B.5B4.3A9.4B
7.5B13.4B11.BA2BAB.BA2BAB32.4B73.4B20.5B.6B$899.4B2.4B39.5B.5B20.3BA
5.3B5A7BABA13B334.2A2B7.4B11.2A5B2A15.4B2.B2AB27.4B3.3A5.A167.4BAB17.
4B2.4B38.4B4.2BA2BA3B31.2B2A12.4B4.8BABA14B2AB2A3B2A5.2B3A2B45.2A9.2A
6.10B3.A13.4B6.5B12.4B12.4BAB.BA4B31.4B46.4B3.B.9B.B3.4B2.3BA18.13B$
898.4B2.4B40.2BA2B.2BA2B21.BA.A6.BA4BA2B2A2B2A14B333.ABAB9.4B7.3A2.5A
2.3A11.4B2.3BA28.5B2.A6.2A189.4B2.4B38.4B5.B2ABA3B.B31.2A2B10.4B5.3B
2A6BA6B.6B2ABA5B7.5B47.A10.A7.9B3.2A13.4B5.5B11.A3B13.BABA2B.2BABAB
30.4B47.4B.5BA11B.4B3.3BA18.5B.4B$897.4B2.4B40.2B3AB.B3A2B21.A.A7.BA
3B2ABA3B2A3B5.4B334.3BA11.4B6.A2.A.5B.A2.A10.4B2.4B29.5B199.4B2.4B38.
4B4.2B.AB.BAB.3B31.4B8.4B5.2ABA2BA2BA2BA13BABA6B7.6B46.A.AB7.A.AB2.5B
2AB2A2B3AB14.BABA4.5B10.BABA14.2BA3B.3BA2B29.4B15.4B3.B.9B.B3.4B5.2A
8B2A15B2A3.3AB16.12B$896.4B2.4B41.B2ABAB.BAB2AB22.A8.BA5BABA4B9.2B
322.5BA3.7B13.4B6.2A4.B4.2A10.4B2.4B29.7B197.ABAB2.4B38.4B5.B2A.4A.4B
32.4B6.4B6.2AB.2A6BA8BA5BA4.B9.5B48.2AB.2A5.2AB.6BA2B2AB3A17.B2AB3.5B
9.2B2A15.6B.6B28.4B16.4B.4B2A11B.4B5.2A7B2A16B2A4.4B15.12B$895.4B2.4B
42.6B.6B23.3A5.2BA5BA5B326.B4.6B4A7B15.2B2A20.2A5.4B2.4B30.7B196.B2AB
2.ABAB38.BA2B4.2B2ABA4.2ABA2B32.4B3.2BA2B8.B4.3BABA7BABAB18.6B50.2B2A
B6.7B2ABA3B2ABA17.A3B.6B8.4B16.6B.6B27.4B16.2A7BABA15B2A5.B.7B2A2B2A
10B.B6.4B14.13B$894.4B2.4B43.6B.6B25.A9.3B4.2B326.2AB.7B2ABABA6BABA2B
11.BABA19.A5.4B2.4B31.2ABAB2A195.3BA2.B2AB38.2A2B4.2BA2B.A.2A.ABABAB
33.4B.B2A2B16.B2A3B3.3B2A2B17.7B49.4B7.10BA2B2AB2A18.11B6.4B17.6B.6B
26.4B17.2A6B2ABA15B2A7.23B9.4B14.5B.5B$893.4B2.4B44.4BAB.BA4B36.B6.2B
325.2A8B3ABA2BA3BA3BA4B10.A6B3.2BA3B3.BA.A4.A3B2.4B32.7B194.4B2.3BA
38.2B2A6.BABABA.2A.A.2BA2B33.6B2A30.4B16.4B.2B49.6B5.5B2ABAB2AB2A.B
20.9B6.BA2B18.6B.6B25.4B19.B.6B2A15B.B5.3B.B.3B11.3B.A.3B7.4B12.6B.6B
$892.4B2.4B45.4BAB.BA4B42.B2AB325.10B2ABABA2B.BA10B9.9BABA5B.B2A4.A3B
2.A3B33.A5BA193.4B2.4B38.4B7.2BAB2A4.AB2A2B35.7B31.4B15.A7B45.9B6.5B
6AB2A21.7B8.2A2B20.5B.5B25.BA2B22.7BA15B7.22B5A2B8.4B11.6B.6B$891.4B
2.4B46.6B.6B43.2A326.11B4A4BA4BA7B.B.B2A9B2A10B5.B3A2.A3B34.7B192.4B
2.4B38.4B9.4B.4A.2AB38.6B15.2A4.B4.2A4.4B13.BABA5B44.11B7.10B22.8B7.
2B2A21.5B.5B24.2A2B20.3B.B.3B11.3B.B.3B2.12B2A2B2A5B2ABA2BA3B7.4B10.
6B.6B$890.4B2.4B47.6B.6B373.B4.5BA.B2.3BA15B2A9B2A10B4.4B2.B3A36.2AB
2A192.4B2.4B38.4B10.3B.BAB.BA.2B37.6B15.A2.A.5B.A2.A4.4B11.2B2A7B43.
12B7.8B23.8B6.4B18.2A.6B.6B.2A19.2B2A21.10BA10B2A3B2AB.12B2A9BA7BA3B
7.4B9.6B.6B$889.A3B2.4B48.6B.6B390.BA3BA4B2.8B2A2B.3B2A9B4.4B2.4B37.
2BA2B191.4B2.A3B38.4B12.B.3BAB2AB38.8B14.3A2.5A2.3A5.3BA9.4B.7B43.13B
7.BA4B25.7B5.4B19.A.A5B3.5BA.A18.4B20.11B2A9BAB2AB2ABA14B2A9B2ABA2BA
3B9.4B8.2B2A2B.2B2A2B$888.BABA2.A3B50.5B.5B393.BABA2B4.8B3A7BABA5B4.
4B2.4B39.4B190.4B2.BABA38.4B14.3BA2BA2B37.4B2.4B16.2A5B2A9.3BA7.4B2.
3BA3B39.A4.15B2.2B3A34B5.4B21.AB.3B5.3B.BA18.4B20.11B2ABA8BA7BA15BA
10B5A2B12.4B7.2BAB2A.2ABA2B$887.2B2A2.BABA50.3BA9B403.7B2A4B2.B.2BA3B
5.4B2.4B40.4B189.4B2.2B2A38.4B16.3B2AB38.4B4.4B14.A2.5B2.A9.3AB5.4B3.
2B3A2B39.3A3.A10BA2BA20B4A16B4.A3B25.B2AB3.B2AB20.4B22.11BABA8BAB2AB
2ABA2B2.3B.B.3B.9B.3B.A.3B13.3BA6.3BABA.ABA3B$886.4B2.2B2A51.2BABA7B
405.3B2A5B16.4B2.4B42.3BA5B4.B177.4B2.4B38.4B19.4B37.4B6.4B13.2A.A3BA
.2A10.4B3.4B4.B5AB42.A.2BAB2A4B3A2B3A17BA3BA15B4.A3B27.2A5.2A20.4B25.
10B2A9B2A3B2A4B44.ABAB5.3BABA.ABA3B$885.4B2.4B52.B2AB2A6B407.B2A3B17.
4B2.ABAB42.3BABA11B174.4B2.4B38.4B22.B37.4B8.4B17.A16.4B.A3B5.2A3B2A
41.A.6BA6BA2B3A21BA16B2.B3A56.4B26.3B.B.3B.9B.13B44.2A2B4.2BA3B.3BA2B
$884.10B54.A3BA.4B430.7B2AB42.2B2A3BA10B173.10B38.5B59.4B10.4B17.B15.
3B.A3B7.5A42.8A7BA3B2A17BA2BA22B56.4B47.4B6.4B44.4B4.5B.5B$883.64B3AB
3A6B427.9BA45B2A3BA9B2A171.168B3A8.A3BA45.2B.A7B.7B31.30B2A90B2A44B2A
26B$882.7BA58BA3BA.6B426.56B2A3BA7B.B2A170.35B2A28B2A58B2A28B2A9B.4B
10.ABA43.2A4.7B5.3B31.ABA27B4A65B2A21B4A19B2A21B4A24B$881.6B2A2B.56BA
3BAB2.4B425.10B.48BABA6B4.B170.ABA7B.24B2AB2A25B2AB2A55B2AB2A25B2AB2A
11B12.3AB41.A5.6B6.4B29.B2A7B.19B2AB2A64B2AB2A18B2AB2A18B2AB2A18B2AB
2A16B2AB2A3B$880.8B2A2.50BA6BABA2B.B2A2B424.10B2.45B4.A5B176.B2A7B2.
25B4A26B4A56B4A26B4A10B15.2A43.A4.6B4.B5AB26.3BA6B2.20B2A32BABA32B4A
19B2A21B4A19B2A16BA2BA.A2BA$879.11B3.49B2A6BA3B2.2A425.11B3.44B185.3B
A7B3.25B2A28B2A58B2A28B2A8BAB16.A43.2A4.5B5.2BABAB2A24.11B3.53B2A34B
2A44B2A38B3A3B3A2B$878.12B50.BABA5.3B430.A11B42.4B185.12B36.4B60.4B
22.4B26.B2A4B3.3B2AB5.3A47.2B4.B.2B2A6B22.12B54.3BA69.4B46.2BA2B.2BA
3B$877.13B49.4B6.3B429.A12B41.4B8.B176.13B35.4B61.3B24.4B26.ABA9B2A3B
5.A46.2A4.7B2A6B19.13B53.4B71.4B44.7B2.4B$876.14B48.4B8.B429.B3A10B
29.2A9.4B7.4B174.14B34.4B60.2AB27.4B20.2A12B2A7B51.A5.7BA3B3AB.B16.
14B52.4B73.4B43.7B.B2A2B$875.15B47.4B438.15B30.A8.4B6.B3A2B173.15B33.
4B60.A.AB4.A23.4B12.B4.A3BA10B3A8B51.A3.7B2AB3ABA2B2A14.6BA8B51.4B75.
4B42.7B2.2A$874.15B17.2A28.4B438.15B31.A.AB4.4B6.6A3B170.6BA8B33.4B
61.A7.3A10.2A10.4B10.2AB.BA5BA4B.5B2A8B52.A.A7BA3B3A3B2A13.7BABA5B51.
4B77.4B43.3B$873.15B19.A27.4B438.15B33.2AB3.4B6.A.3ABA3B169.7BABA5B
33.4B61.2A10.A8.A2.A10.4B9.2A2B2ABA3BA13B2A3B.B2A51.2A.11BA5B13.8B2A
5B51.4B79.4B42.3B$872.15B20.A.2A.2A20.4B438.15B36.7B6.B2A.A2B.AB.2B
166.8B2A5B33.4B73.2A8.A.A.A10.4B9.4BA5BA6B2.B.3B2AB3.BA.A55.7B2A8B10.
15B51.4B81.4B42.B$871.15B22.A.A.A2.A17.4B438.15B37.6B7.4A.4A.3B165.
15B33.4B74.4B5.2A.A.A11.4B8.5BA3BA5B18.A58.3BABA3B3.2A9.BA13B51.4B83.
4B$870.15B10.A7.3B3.AB3.2A16.4B438.6BABA6B39.4B7.B3ABA4.2A4B162.15B
33.4B77.BAB2.A2B.A.A.2A10.4B9.B4.2A4B20.2A56.6B2A2B3.A9.2A5BA7B51.4B
85.4B$869.15B11.3A4.5B.4B19.4B438.7B2A6B39.6B6.B2A2BA.2A.A.2A3B160.
15B33.4B77.BABA.BAB2AB.A2.A11.4B97.4B.B3AB4.3A5.2B2A2B2A7B30.B20.4B
87.2B2A$868.15B15.A3.10B6.2A10.4B438.9BA5B39.8B4.3B2A.A.2A.A2B2AB160.
15B33.4B75.2A.B2A2B.A2B.BABA.A.2A9.4B92.2A3.BA3.2AB7.A4.8B2A5B30.3B
18.4B89.BABA$867.15B15.AB3.9B7.A10.4B47.4B3.B.5BA3B.B3.4B364.15B39.4B
2.4B4.4B2A4.AB3AB159.15B33.4B76.2A7B2.2A.A2B2A2.A10.4B91.A2.A.A.A16.
15B31.3B17.4B91.A3B$866.A14B16.A3B7A5B2.BA.A9.4B48.4B.8B2A7B.4B363.
15B39.4B4.4B5.3B.4A.4A159.ABA12B33.4B78.7B4.A.BAB2.2A12.4B92.2A.2A.A
14.15B30.7B2.2A10.4B93.4B$865.BABA11B19.4BA10B.B2A9.4B16.4B3.B.4B2A3B
.B3.4B5.2A11B3ABA9B2A361.15B39.4B6.4B4.2B.BA.2BA.2AB158.B2A12B33.4B
79.2BA4B4.A.2AB2A15.4B97.A13.15B31.3BA3B.B2A2B7.4B95.4B$864.2B2A11B
19.A4BABAB2A7B10.4B17.4B.7BA9B.4B5.2A10B2A13B2A360.15B39.4B8.4B5.3BAB
3A.A158.3BA11B24.A8.4B81.B2A3B5.A4.A16.4B96.2A11.6BA8B32.2B3A2B2.4B6.
4B97.4B$863.15B20.2A3BABABABA6B9.4B17.2A10BA2B2A10B2A5.B.10B2A11B.B
360.A14B39.4B10.4B4.3B6A158.15B25.3A5.4B81.BABA4B5.4A18.4B107.6BA8B
34.A3BA.6B5.4B99.4B13.B$862.15B22.B.6BAB2A5B8.4B18.2A10BA2BA11B2A7.
11BA11B361.A5BA8B39.4B12.4B5.2B3AB158.15B29.A3.4B81.4B2.4B6.A20.2B2A
105.7B3A5B34.B2AB2A7B4.4B101.4B11.3B$861.15B25.2ABA2BAB2A4B8.4B20.B.
9BABA11B.B5.3B.B.3B11.3B.B.3B357.B3A2BA8B39.4B14.4B4.4B159.15B29.2A2.
4B81.4B4.4B7.A19.BABA103.15B36.5B.4B5.4B103.4B10.3B$860.15B28.2B4A4B
9.4B23.10B2A11B7.14BA10BA3B356.7B3A5B39.4B16.4B4.B160.15B30.7B81.4B6.
4B5.2A20.A3B101.15B36.2B3A7B3.4B105.4B7.7B2.2A$859.7BA7B30.8B9.4B41.
3B.B.3B2.15B2A8B2ABA4B353.15B39.4B18.2B2A4B2.3B2AB151.6BA8B33.6B79.4B
8.4B27.4B99.ABA12B37.2B3A7B2.4B107.4B6.7B.B2A2B$858.6B2A7B26.A5.3B3A
9.4B25.10B2A9B2A3B.15B2A8B2AB3A4B351.15B39.4B20.2A9BABA3B4.B143.7BABA
5B34.7B77.4B10.4B27.4B97.B2A12B38.17B109.4B5.7B2.4B$857.8B2A5B26.A.A
5.2B3AB7.4B24.B.9BABA7B2A3BA18B3ABA5BA2BA5B350.15B39.4B16.A6BA7B3A4B
2A.3A141.8B2A5B34.B3A5B75.4B12.4B27.4B95.3BA11B40.5B.9B111.B3A5.5B.6B
$856.15B27.A.A5.3BAB7.4B24.2A10BA2BA6BA4BA19B2A8B2A6B349.15B39.3AB10.
B4.BABA12B3A4BA2B4A140.15B35.B3AB.4B73.4B14.4B27.4B93.15B40.6B.8B113.
A3B3.13B$855.15B26.3A.2A4.5B6.4B25.2A10BA2B2A5B2A3BA3B2.3B.B.3B.5BA3B
.3B.B.8B2.2A342.6BABA6B39.3BA10.2AB.B2A3BA5B.6B3A4B2A3B140.15B35.BA3B
AB.4B71.4B16.4B27.4B91.15B41.6B.8B114.A3B3.2BA2B.2BAB$854.15B26.A4.B
4.8B3.4B27.4B.7BA10B2A6B28.7B.B2A2B339.7B2A6B39.3BA11.2A3B2A3BA13BABA
8B139.15B36.7B2.4B69.4B18.4B27.4B89.15B42.6B.9B114.4B.2B3A3B3AB$853.
15B28.3AB2AB2.2A7B.4B28.4B3.B.4B2A3B.13B27.7B2.4B338.9BA5B39.4B13.4B
2A3BA7B2.B.3B2AB4.B140.15B37.2A3B2A3.4B67.4B20.3BA27.4B87.15B43.4B2A.
2A8B114.5B2A2BABA2B2A$852.15B31.A.2A3B2A6B.4B47.5B6.4B27.5B.6B337.15B
39.4B14.6BABA6B156.15B38.7B4.4B65.4B22.3BA27.4B85.6BA8B44.4B2A.2A4B.
4B114.4B2AB2AB2AB2AB$851.15B34.119B336.15B39.4B17.B4.A5B157.ABA12B39.
7B5.4B63.4B24.3AB27.4B16.2A65.7BABA5B45.4B2A.2A4B2.4B114.6B2A.2A3B$
850.15B37.48B2A44B2A14B.4B337.15B39.4B185.B2A3BABA6B40.7B6.4B61.4B26.
4B27.4B14.B2A2B62.8B2A5B46.2BAB2A.2ABA2B3.4B112.5BABAB.BABA2B$849.15B
37.48B2AB2A41B2AB2A18B335.15B39.4B185.3BA3B2A6B42.5B8.4B59.4B28.4B27.
4B14.4B61.15B47.2B3AB.B3A2B4.4B110.5BA2BAB.BA2BAB$848.15B38.B3A3B3A
39B4A42B4A18B334.A14B17.2A20.4B19.4B2A160.9BA5B43.5B9.4B57.4B30.4B27.
4B14.4B59.BA13B48.3BA2B.2BA3B5.4B108.4B.4BAB.BA4B$847.15B38.BA2BAB.BA
2BA39B2A44B2A20B332.A5BA8B16.2B2AB18.4B18.5BA3BA157.15B44.4B11.4B55.
4B32.4B27.2B2A12.4B59.2A5BA7B50.5B.5B7.4B106.4B2.BABA2B.2BABAB$846.
15B40.A3BA.A3BA2.4B64.4B13.4B4.2BA2B.2BA2B332.B3A2BA8B17.4B18.4B7.B2A
3B.B2.6BA5BA155.15B45.4B12.4B53.4B34.4B27.BABA11.4B58.2B2A2B2A7B50.
13B7.4B104.4B3.2BA3B.3BA2B$845.15B40.2ABABA.ABAB2A2.4B64.4B11.4B4.2B
3AB.B3A2B330.7B3A5B17.4B18.4B6.3B2A13BA3BA2BA4.B2A3B143.15B45.4B14.4B
51.4B36.4B27.A3B9.5B57.8B2A5B51.12B9.BABA102.4B4.6B.6B$844.15B41.2AB
2AB.B2AB2A3.BABA64.4B9.4B5.B2ABAB.BAB2AB329.15B19.4B16.4B6.7B2A5B.4BA
7B2.3BA2BA3B140.6BA8B47.4B14.4B49.4B38.4B27.4B8.5B56.15B52.12B10.B2AB
100.4B5.6B.6B$843.A14B42.B3A2B.2B3AB4.B2AB64.4B7.4B6.6B.6B328.15B20.
4B15.4B6.8B3A10BA7BA7BA4B2.B.BABA2B4.B122.7BABA5B48.2B2AB14.4B47.4B
40.4B27.4B6.7B54.15B54.5B.4B12.A3B98.4B6.3BA2B.6B$842.BABA2BA8B43.6B.
6B5.A3B64.4B5.4B7.6B.6B327.15B21.2BA2B13.4B7.8B2A12B2A.A.3BA6BA7BA3BA
9B119.8B2A5B51.2A16.4B45.4B42.4B27.4B5.7B53.15B54.13B11.4B96.4B7.2BAB
AB.6B$841.2B2A3BABA5B44.6B.6B6.4B64.4B3.4B8.4BAB.BA4B326.15B22.2AB2A
12.3AB6.2AB.3B2A9BABA9.2A7BA2B.4BA13B118.15B71.4B43.4B44.4B27.4B4.7B
52.6BA8B56.5B.6B12.4B94.4B9.5B.5B$840.8B2A5B45.6B.6B7.4B64.4B.4B9.4BA
B.BA4B325.6BABA6B22.7B10.3BA6.A.AB3.B2A3B3.4B2AB10.3BA2BA7BA4BA8B2A
116.15B73.4B41.4B46.4B27.4B3.7B51.6BA8B56.7B2.4B13.4B92.4B9.A5BA6B$
839.15B46.6B.6B8.4B64.7B10.6B.6B324.7B2A6B23.A5BA9.3BA7.A19.A3B11.B2A
10BA10B.B2A115.15B75.4B39.4B48.4B27.4B2.B5AB50.7B3A5B57.7B.B2A2B14.4B
90.4B10.3BA8B$838.15B47.6B.6B9.4B64.5B11.6B.6B323.9BA5B24.7B8.4B7.2A
20.4B15.8BA3BA4B4.B115.15B77.4B37.4B50.3BA27.4B.AB3ABA49.15B58.7B2.2A
17.4B88.4B11.2A3B2A5B$837.15B48.6B.6B10.4B63.5B11.6B.6B322.15B25.2ABA
B2A7.4B31.4B13.ABA4B3.BABA2B121.15B79.4B35.4B52.3BA27.4B.A3BA49.15B
61.3B24.4B86.4B13.5B.4B$836.7BA7B50.5B.5B12.4B61.7B11.5B.5B322.15B26.
7B6.4B33.4B11.B2AB133.ABA12B81.4B33.4B54.3AB27.5B3AB48.ABA12B62.3B25.
4B84.4B13.13B$835.6B2A7B51.5B.5B13.4B59.4B.B3A9.6B.6B320.15B27.7B5.4B
35.4B9.3BA133.B2A12B83.4B31.A3B56.4B27.5BAB48.B2A12B64.B27.4B82.4B15.
5B.6B$834.8B2A5B48.2A.6B.6B.2A10.4B57.4B3.A3B9.5B.5B320.15B29.A4B5.2A
2B37.2BAB7.4B133.3BA11B85.3BA29.B2AB58.4B27.6B47.3BA11B94.4B80.4B15.
2A3B2A2.4B$833.15B49.A.A5B3.5BA.A11.4B55.4B5.A3B8.5B.5B319.A14B29.BA
2BAB4.ABAB39.2B2A5.4B133.15B87.3BA27.BABA60.4B27.7B44.15B96.4B78.4B
16.3BA3B.B2A2B$832.15B51.AB.3B5.3B.BA13.4B29.A23.4B7.4B8.4B.4B319.A5B
A8B31.A4B3.3BA41.2A2B3.4B133.15B89.3AB25.4B62.4B25.4B2.2A43.15B98.4B
76.4B17.A5BA2.2A$831.15B55.B2AB3.B2AB17.4B28.3A20.4B9.4B5.6B.6B316.B
3A2BA8B32.3B2AB.4B43.4B.4B133.15B91.4B23.4B64.4B23.A3B3.A43.15B100.4B
74.4B20.3B$830.15B57.2A5.2A19.4B30.A18.3AB11.4B4.6B.6B315.7B3A5B32.5B
A5B44.3B.BA2B133.15B93.4B21.4B66.4B21.B2AB5.3A39.15B102.4B72.4B21.ABA
$829.15B87.4B28.AB17.3BA13.4B3.4B5.4B314.15B33.2B.ABA38BA2BA10B2A2B
133.6BA8B95.4B19.4B68.4B19.BABA8.A38.6BA8B104.4B70.4B23.A$828.15B89.
4B22.2A3.A3BA13.3BA10.2A3.4B2.2B2AB3.B2A2B313.15B33.4B2A23B4A11BA12B.
2B2A133.7BABA5B97.4B17.4B70.4B17.4B47.7BABA5B106.4B68.4B$827.15B91.4B
22.A5.2BAB11.4B11.A.A3.4B3.2A5.2A314.15B34.29BA3BA10BA3BA12B133.8B2A
5B99.4B15.4B72.4B15.4B47.8B2A5B108.4B66.4B$826.15B93.4B19.A6.A3BA7.B
2.4B13.AB4.4B324.15B34.30BA14B4A12B133.15B101.4B13.4B74.4B13.4B47.15B
110.4B64.4B$825.15B95.4B18.2A4.A6B5.8B.9B2.2B6.4B322.6BABA6B35.2A3B2A
.23BA2BA21B3AB133.15B103.4B11.4B76.4B11.4B47.BA13B112.4B62.4B$824.15B
97.4B20.2B.B2A3B2A.B2.24B5.4B320.7B2A6B36.A5BA2.4B22.4B17.A3B132.15B
105.4B9.4B78.4B9.4B47.2A5BA7B114.4B60.4B$823.15B99.4B16.2A7BA5BA12B2A
11B2A5.4B318.9BA5B37.7B3.4B22.2B2A17.A3B130.15B107.4B7.4B80.3BA7.4B
47.2B2A2B2A7B116.4B58.4B$822.15B101.4B15.A.A7BA4BA11B2A12B2A6.4B316.
15B38.BA3BAB4.4B22.BABA5.2A10.7B3.BA4B116.15B109.4B5.4B82.3BA5.4B47.
8B2A5B118.BABA56.4B$821.15B103.4B15.A.6BA5BA12B5A7B.B8.4B314.15B39.2B
3A2B5.4B22.A3B5.A11.10B2A5B4.B108.ABA12B111.4B3.4B84.3AB3.4B47.15B
120.B2AB54.4B$820.A14B105.4B11.3A3.3B2A3B2A15B4A6B12.4B312.15B41.5B7.
4B22.4B4.A.AB3.4BA5B2A4B2A6B.B2A8.2A96.B2A3BABA6B113.4B.4B86.4B.4B47.
15B122.A3B52.4B$819.BABA11B107.4B10.A4.3BA12B2A4B27.4B310.15B42.5B8.
4B22.4B4.2AB.6BABA3B2A4B3A7B2A6.2B2AB94.3BA3B2A6B115.7B.3BA2B81.7B.BA
BA2B40.15B124.4B50.4B$818.2B2A11B109.4B13.5BA3BA3B3.B2A8B4A6B14.4B
308.A14B44.4B9.4B22.4B5.9BABA.B2A4B2A9B7.4B94.9BA5B117.10BABA2B4.B75.
6BA3BA4B4.B32.6BA8B126.4B48.4B$817.15B111.4B12.5BA2BA3B6.8B5A7B.B12.
4B306.A5BA8B45.4B10.4B22.4B4.9BA2BA6B2A10B6.4B94.15B119.12B2A2B.B2A
75.5BA10B.B2A30.6BA8B128.4B46.4B$816.15B113.4B11.6B3A2B7.7B2A12B2A12.
4B304.B3A2BA8B47.4B10.4B22.4B4.8BABA2B2.B.BA4B4.B9.4B92.15B121.11B2A
4B2A76.3BA4BA8B2A29.7B3A5B130.4B44.4B$815.15B115.4B11.9B7.9B2A11B2A
13.4B302.7B3A5B47.4B12.4B22.B3A4.6BABAB26.4B91.15B122.11B2A5B77.4BA
13B29.15B132.4B42.4B$814.15B117.4B13.6B5.A.2AB.19B15.4B300.15B47.B2A
2B13.4B22.A3B5.4BAB28.5B89.6BA8B121.2AB2.5BABA7B75.2AB2.BA3BA9B28.15B
134.4B40.4B$813.7BA7B119.4B12.4B5.3AB2AB3.B.9B2.2B18.4B298.15B49.2A
16.4B17.2A3.A3B38.5B88.7BABA5B121.A.AB4.3BA2B4.B76.A.AB4.BABA2B4.B29.
ABA12B136.4B38.4B$812.6B2A7B121.4B11.2B2AB3.A4.B19.AB18.B3A296.15B69.
4B4.2A5.2A2.B2A2B2.4B16.2A18.7B86.8B2A5B122.A94.A46.B2A3BABA6B138.4B
36.4B$811.8B2A5B123.4B8.2AB.2A5.3A.2A17.A.A19.A3B294.15B71.4B.2B2A5.A
4.4B3.4B14.B2A2B16.7B85.15B122.2A93.2A45.3BA3B2A6B140.4B34.4B$810.15B
125.4B6.A.AB10.A.A18.2A21.A3B292.6BABA6B73.5BAB3.BA.A5.4B3.4B14.4B16.
7B84.15B264.9BA5B142.4B32.4B$809.15B127.4B5.A13.A.A42.4B290.7B2A6B75.
5B2AB.B2A5.4B5.4B14.4B15.7B83.15B264.15B144.4B30.4B$808.15B129.4B3.2A
14.A44.4B288.9BA5B77.2B5A2B7.4B6.4B12.4B16.2A3B2A82.15B264.15B146.4B
28.4B$807.15B131.4B64.4B286.15B78.B2ABA2BAB6.5B7.4B11.4B16.2B3A2B81.
15B264.15B148.4B26.4B$806.15B133.4B64.4B284.15B78.3B5AB7.5B8.4B9.5B
17.A3BA81.ABA12B264.6BA8B150.4B24.4B$805.15B135.4B64.4B282.15B78.5B3A
8.7B8.4B8.5B17.BABA2B79.B2A12B264.7BABA5B152.4B22.4B$804.15B137.4B64.
4B280.15B78.4B3.B.A7.7B9.4B6.7B16.2BA2B79.3BA11B264.8B2A5B154.4B20.4B
$803.15B139.4B64.4B278.A14B78.4B5.BAB6.2B3A2B10.4B5.7B15.6B78.15B264.
15B156.4B18.4B$802.15B141.4B64.4B276.A5BA8B78.4B6.3B6.BA3BAB11.4B4.7B
15.7B76.15B264.BA13B158.4B16.4B$801.15B143.4B64.4B274.B3A2BA8B78.4B6.
A3BA5.A5BA12.4B3.7B15.4B.2B75.15B264.2A13B160.4B14.4B$800.15B145.4B
64.4B272.7B3A5B78.4B5.3A.A.3A3.A5BA13.B3A2.B5AB15.8B73.15B264.2B2A11B
162.4B12.4B$799.15B147.4B64.4B270.15B78.4B5.A3.B2A3.A3.2BA2B15.A3B.AB
3ABA14.5B3AB72.6BA8B264.15B164.BABA10.A3B$798.15B149.BABA64.4B268.15B
78.4B5.A.AB2A2.2A.A2.BA3BA16.A3B.A3BA14.ABA8B70.7BABA5B264.15B166.B2A
B8.B2AB$797.A14B151.B2AB64.4B266.15B78.4B6.A.2A2B2A2.A4.B3AB17.5B3AB
13.B2AB.2BABA2B69.8B2A5B264.15B168.A3B6.BABA$796.BABA2BA8B153.A3B64.
4B264.15B78.4B6.2A.AB2A2.2A5.2BA3B17.5BAB13.3BA2.B5AB68.15B264.15B
170.4B4.4B$795.2B2A3BABA5B155.4B64.4B262.6BABA6B78.4B5.A2.A.A.A2.A6.
7B18.6B12.4B3.2A3B2A67.15B264.6BA8B172.4B2.4B$794.8B2A5B157.4B64.4B
260.7B2A6B78.4B6.2A2.2A.4A6.2B.4B19.7B9.4B4.2A3B2A66.15B264.6BA8B174.
8B$793.15B159.4B64.4B258.9BA5B78.ABAB13.A9.B3A4B18.4B2.2A8.4B5.7B65.
15B264.7B3A5B176.6B$792.15B161.4B64.4B256.15B78.B2AB14.A.A7.B3A5B16.
4B3.A8.4B7.5B65.15B264.15B170.4B3.11B.B3.4B$791.15B163.4B64.4B254.15B
69.A8.3BA16.2A6.BA3BA5B14.4B5.3A4.BA2B3.2A3.2BA2B64.ABA12B264.15B171.
4B.17B.4B$790.7BA7B165.4B64.4B252.15B70.3A5.4B25.7B.BABA12.4B8.A3.2A
2B2.2B2AB2.2A2B64.B2A3BABA6B264.ABA12B171.2A8B3A14B2A$789.6B2A7B167.
4B64.4B250.15B74.A3.4B26.2A3B2A2.B2AB10.4B12.2B2A3.4B3.4B63.3BA3B2A6B
264.B2A12B172.2A8BA3BA12B2A$788.8B2A5B169.4B64.4B248.A14B74.2A2.4B27.
7B3.A3B8.4B12.4B3.4B3.A3B63.9BA5B264.3BA11B174.B.7BA4BA10B.B$787.15B
171.4B64.4B246.A5BA8B75.7B28.7B4.6B4.4B12.4B5.4B3.4B61.15B264.15B177.
8BA3BA10B$786.15B173.4B64.4B244.B3A2BA8B78.6B27.7B4.6B3.4B12.4B6.4B3.
A2BAB59.15B264.15B175.3B.B.3B11.3B.B.3B$785.15B175.4B64.4B242.7B3A5B
79.7B27.5B4.7B2.4B12.4B7.5B4.2A59.15B264.15B176.11BA3BA7B3A3B$784.15B
177.4B64.4B240.15B79.9B26.5B5.10B2A14B2A7.B3AB64.6BA8B264.15B175.12BA
4BA5B2ABAB2A3B$783.15B179.4B64.4B238.15B80.5B.4B26.4B7.7B4A9BA2B3AB5.
7B62.7BABA5B264.6BA8B175.13BA3BA5BA5B2A4B$782.15B181.4B64.4B236.15B
80.2B3A2B.4B25.4B6.7B2AB2A9B3A5B4.2BABA2B61.8B2A5B264.7BABA5B177.12B
3A8B2ABAB2A3B$781.15B183.4B64.4B234.15B81.BA3BAB2.4B25.4B4.9B2A12B3A.
4B3.B5AB60.15B264.8B2A5B180.23B3A3B$780.15B185.4B64.4B232.6BABA6B82.
7B3.4B23.4B4.33B2.2A3B2A59.15B264.15B181.3B.B.3B.9B.3B.B.3B$779.15B
187.4B64.4B230.7B2A6B83.A5BA4.4B21.B2A2B3.4B2.B20.3B.4B.2A3B2A58.15B
264.BA13B$778.15B189.4B64.4B228.9BA5B84.2A3B2A5.4B21.2A4.4B24.ABAB.
11B57.15B264.2A13B$777.15B191.4B64.4B226.15B85.7B6.3BA25.4B26.2AB2.9B
57.15B264.2B2A11B$776.15B193.4B64.4B224.15B87.5B8.ABAB23.4B27.4B2.2B
2A4B56.ABA12B264.15B$775.15B195.4B64.4B222.15B88.2BA2B9.2A2B21.4B27.
4B3.2ABA.2B56.B2A3BABA6B264.15B$774.A14B197.4B64.4B220.15B89.BABA11.
4B19.A3B27.4B4.A6B55.3BA3B2A6B264.15B$773.BABA11B199.4B64.4B218.A14B
90.BABA12.4B17.B2AB27.4B5.6B55.9BA5B264.15B$772.2B2A11B201.4B64.4B
216.A5BA8B90.2BAB14.4B15.BABA27.4B7.3ABA54.15B264.6BA8B$771.15B203.4B
64.4B214.B3A2BA8B92.BA2B14.4B13.4B27.3AB8.4BAB52.15B264.6BA8B$770.15B
205.4B64.4B212.7B3A5B93.BA2BA14.4B11.4B27.3BA9.4BA52.15B264.7B3A5B$
769.15B207.4B64.4B210.15B96.2A16.4B9.4B27.3BA9.7B50.6BA8B264.15B$768.
15B209.4B64.4B208.15B116.4B7.4B5.2A20.4B10.7B49.7BABA5B264.15B$767.7B
A7B211.4B64.4B206.15B118.4B5.4B7.A19.4B11.7B48.8B2A5B264.ABA12B$766.
6B2A7B213.4B64.B3A204.15B120.4B3.2A2B8.A.AB3.BABA2B3.7B12.7B47.15B
264.B2A12B$765.8B2A5B215.4B64.A3B202.6BABA6B122.4B.2B2A10.2AB.BA3BA5B
3A3B13.2A3B2A46.15B264.3BA11B$764.15B217.4B64.A3B200.7B2A6B124.5BAB.
4BAB6.3BA7BABA2BA2B2A3B8.2B3A2B45.15B264.15B$763.15B219.4B64.4B198.9B
A5B126.10B2A3B4.2BA4BA7B2A2BA2BA3B7.A3BA45.15B264.15B$762.15B221.4B
64.4B196.15B128.8B2A3B2A4.2BA11B.7BA4B5.BABAB44.15B264.15B$761.15B
223.4B64.4B194.15B130.6B3A6B4.BA3BA2B3A10BA5B5.BAB44.ABA12B264.15B$
760.15B225.4B64.4B192.15B131.7B2A6B6.BABA2B.B2.9BA5B6.4B41.B2A3BABA6B
264.6BA8B$759.15B227.4B64.4B190.15B130.2AB2.5B2A3B.B2A16.3BA2BA3B2.B
2A6.2A40.3BA3B2A6B264.7BABA5B$758.15B229.4B64.4B188.A14B130.A.AB4.4BA
B3.BA.A17.B2A3B4.BA.A5.A40.9BA5B264.8B2A5B$757.15B231.4B64.4B186.A5BA
8B131.A19.A30.A6.3A36.15B264.15B$756.15B233.4B64.4B184.B3A2BA8B131.2A
19.2A29.2A7.A35.15B264.BA13B$755.15B235.4B64.4B182.7B3A5B228.15B264.
2A5BA7B$754.15B237.4B64.4B180.15B228.6BA8B264.2B2A2B2A7B$753.15B239.
4B64.4B178.15B228.7BABA5B264.8B2A5B$752.15B241.BABA64.4B176.15B228.8B
2A5B264.15B$751.A14B243.B2AB64.4B174.15B228.2B2A11B264.15B$750.BABA
11B245.A3B64.4B172.6BABA6B228.3B2A10B264.15B$749.2B2A11B247.4B64.4B
170.7B2A6B228.15B264.6BA8B$748.15B249.4B64.4B168.9BA5B228.15B264.6BA
8B$747.15B251.4B64.4B166.15B228.15B264.7B3A5B$746.15B253.4B64.4B164.
15B228.15B264.15B$745.15B255.4B64.4B162.15B228.15B264.15B$744.7BA7B
257.4B64.4B160.15B228.15B264.ABA12B$743.6B2A7B259.4B64.B3A158.A14B
228.15B264.B2A3BABA6B$742.8B2A5B261.4B64.A3B156.A5BA8B228.15B264.3BA
3B2A6B$741.15B263.4B64.A3B154.B3A2BA8B228.15B264.9BA5B$740.15B265.4B
64.4B152.7B3A5B228.15B264.15B$739.15B267.4B64.4B150.15B228.15B264.15B
$738.15B269.4B64.4B148.15B228.15B264.15B$737.15B271.4B64.4B146.15B
228.15B264.6BA8B$736.15B273.4B64.4B144.15B228.15B264.7BABA5B$735.15B
275.4B64.4B142.6BABA6B228.15B264.8B2A5B$734.15B277.4B64.4B140.7B2A6B
228.15B264.15B$733.15B279.4B64.4B138.9BA5B228.15B264.BA13B$732.15B
281.4B64.4B136.15B228.15B264.2A13B$731.15B283.4B64.4B134.15B228.15B
264.2B2A11B$730.15B285.4B64.4B132.15B228.15B264.15B$729.15B287.4B64.
4B130.15B228.15B264.15B$728.A14B289.4B64.4B128.A14B228.15B264.15B$
727.BABA11B291.4B64.4B126.A5BA8B228.15B264.15B$726.2B2A11B293.4B64.4B
124.B3A2BA8B228.15B264.6BA8B$725.15B295.4B64.4B122.7B3A5B228.15B264.
6BA8B$724.15B297.4B64.4B120.15B228.15B264.7B3A5B$723.15B299.4B64.4B
118.15B228.15B264.15B$722.15B301.4B64.4B116.15B228.15B264.15B$721.7BA
7B303.4B64.4B114.15B228.15B264.ABA12B$720.6B2A7B305.4B64.4B112.6BABA
6B228.15B264.B2A3BABA6B$719.8B2A5B307.4B64.4B110.7B2A6B228.15B264.3BA
3B2A6B$718.15B309.4B64.4B108.9BA5B228.15B264.9BA5B$717.15B311.4B64.4B
106.15B228.15B264.15B$716.15B313.4B64.4B104.15B228.15B264.15B$715.15B
315.4B64.4B102.15B228.15B264.15B$714.15B317.4B64.4B100.15B228.15B264.
6BA8B$713.15B319.4B64.4B98.A14B228.15B264.7BABA5B$712.15B321.4B64.4B
96.A14B228.15B264.8B2A5B$711.15B323.4B64.4B94.B3A11B228.15B264.15B$
710.15B325.4B64.4B92.15B228.15B264.BA13B$709.15B327.4B64.4B90.15B228.
15B264.2A5BA7B$708.15B329.4B64.4B88.15B228.15B264.2B2A2B2A7B$707.15B
331.4B64.4B86.15B228.15B264.8B2A5B$706.15B333.BABA64.4B84.15B228.15B
264.15B$705.A14B335.B2AB64.4B82.6BABA6B228.15B264.15B$704.BABA11B337.
A3B64.4B80.7B2A6B228.15B264.15B$703.2B2A11B339.4B64.4B78.9BA5B228.15B
264.6BA8B$702.15B341.4B64.4B76.15B228.15B264.6BA8B$701.15B343.4B64.4B
74.15B228.15B264.7B3A5B$700.15B345.4B64.4B13.B58.15B228.15B264.15B$
699.15B347.4B64.4B11.3B56.15B228.15B264.15B$698.7BA7B349.4B64.4B10.3B
55.A14B228.15B264.ABA12B$697.6B2A7B351.4B64.4B7.7B2.2A48.A5BA8B228.
15B264.B2A12B$696.8B2A5B353.4B64.4B6.7B.B2A2B45.B3A2BA8B228.15B264.3B
A11B$695.15B355.4B64.4B5.2B3A2B2.4B44.7B3A5B228.15B264.15B$694.15B
357.4B64.4B5.A3BA.6B43.15B228.15B264.15B$693.15B359.4B64.4B3.B2AB2A7B
42.15B228.15B264.15B$692.15B361.4B64.4B3.5B.4B43.15B228.15B264.15B$
691.15B363.4B64.4B.B2AB2A6B41.15B228.15B264.6BA8B$690.15B365.4B64.7BA
8B40.6BABA6B228.15B264.7BABA5B$689.15B367.4B64.16B38.7B2A6B228.15B
264.8B2A5B$688.15B369.4B64.8B.5B38.9BA5B228.15B264.15B$687.15B371.4B
62.9B.6B36.15B228.15B264.BA13B$686.15B373.4B60.6BA3B.3BA2B35.15B228.
15B264.2A5BA7B$685.15B375.4B58.4B.BA2BAB.BA2BAB34.15B228.15B264.2B2A
2B2A7B$684.15B377.4B56.4B2.5BA.A5B33.15B228.15B264.8B2A5B$683.15B379.
4B54.4B3.5BA.A5B32.A14B228.15B264.15B$682.A14B381.4B52.4B4.5BA.A5B31.
A14B228.15B264.15B$681.BABA11B383.4B50.4B5.BA2BAB.BA2BAB30.B3A11B228.
15B264.15B$680.2B2A11B385.4B48.4B6.2B3AB.B3A2B29.15B228.15B264.6BA8B$
679.15B387.4B46.4B7.6B.6B28.15B228.15B264.6BA8B$678.15B389.4B44.4B9.
5B.5B28.15B228.15B264.7B3A5B$677.15B391.4B42.4B9.6B.6B26.15B228.15B
264.15B$676.15B393.4B40.4B11.5B.5B26.15B228.15B264.15B$675.7BA7B395.
4B38.4B12.5B.5B25.6BABA6B228.15B264.ABA12B$674.6B2A7B397.4B36.4B14.4B
.4B25.7B2A6B228.15B264.B2A12B$673.8B2A5B399.4B34.4B13.6B.6B22.9BA5B
228.15B264.3BA11B$672.15B401.4B32.4B14.6B.6B21.15B228.15B264.15B$671.
15B403.4B30.4B15.4B5.4B20.15B228.15B264.15B$670.15B405.4B28.4B16.2B2A
B3.B2A2B19.15B228.15B264.15B$669.15B407.4B26.4B19.2A5.2A20.15B228.15B
264.15B$668.15B409.4B24.4B48.A14B228.15B264.6BA8B$667.15B411.4B22.4B
48.A5BA8B228.15B264.7BABA5B$666.15B413.4B20.4B48.B3A2BA8B228.15B264.
8B2A5B$665.15B415.4B18.4B48.7B3A5B228.15B264.15B$664.15B417.4B16.4B
48.15B228.15B264.BA13B$663.15B419.4B14.4B48.15B228.15B264.2A5BA7B$
662.15B421.4B12.4B48.15B228.15B264.2B2A2B2A7B$661.15B423.4B10.4B48.
15B228.15B264.8B2A5B$660.15B425.4B8.4B48.6BABA6B228.15B264.15B$659.A
14B427.4B6.4B48.7B2A6B228.15B264.15B$658.BABA2BA8B429.4B4.4B48.9BA5B
228.15B264.15B$657.2B2A3BABA5B431.4B2.4B48.15B228.15B264.6BA8B$656.8B
2A5B433.8B48.15B228.15B264.6BA8B$655.15B435.6B48.15B228.15B264.7B3A5B
$654.15B429.4B3.11B.B3.4B33.15B228.15B264.15B$653.15B430.4B.4B2A11B.
4B32.A14B228.15B264.15B$652.7BA7B430.2A6B2AB2A14B2A30.A14B228.15B264.
ABA12B$651.6B2A7B431.2A6BA2BA15B2A29.B3A11B228.15B264.B2A3BABA6B$650.
8B2A5B433.B.5BA2BA14B.B29.15B228.15B264.3BA3B2A6B$649.15B436.6B2A15B
30.15B228.15B264.9BA5B$648.15B489.15B228.15B264.15B$647.15B438.6B2A
15B28.15B228.15B264.15B$646.15B437.B.5BA2BA14B.B25.15B228.15B264.15B$
645.15B437.2A6BA2BA15B2A23.6BABA6B228.15B264.6BA8B$644.15B438.2A6B2AB
2A14B2A22.7B2A6B228.15B264.7BABA5B$643.15B440.4B.4B2A11B.4B22.9BA5B
228.15B264.8B2A5B$642.15B441.4B3.B.9B.B3.4B21.15B228.15B264.15B$641.
15B489.15B228.15B264.BA13B$640.15B489.15B228.15B264.2A5BA7B$639.15B
489.15B228.15B264.2B2A2B2A7B$638.15B489.A14B228.15B264.8B2A5B$637.15B
489.A14B228.15B264.15B$636.A14B489.B3A11B228.15B264.15B$635.BABA2BA8B
489.15B228.15B264.15B$634.2B2A3BABA5B489.15B228.15B264.6BA8B$633.8B2A
5B489.15B228.15B264.6BA8B$632.15B489.15B228.15B264.7B3A5B$631.15B489.
15B228.15B264.15B$630.15B489.6BABA6B228.15B264.15B$629.7BA7B489.7B2A
6B228.15B264.ABA12B$628.6B2A7B489.9BA5B228.15B264.B2A3BABA6B$627.8B2A
5B489.15B228.15B264.3BA3B2A6B$626.15B489.15B228.15B264.9BA5B$625.15B
489.15B228.15B264.15B$624.15B489.15B228.15B264.15B$623.15B489.A14B
228.15B264.15B$622.15B489.A14B228.15B264.6BA8B$621.15B489.B3A11B228.
15B264.7BABA5B$620.15B489.15B228.15B264.8B2A5B$619.15B489.15B228.15B
264.15B$618.15B489.15B228.15B264.BA13B$617.15B489.15B228.15B264.2A5BA
7B$616.15B489.15B228.15B264.2B2A2B2A7B$615.15B489.6BABA6B228.15B264.
8B2A5B$614.15B489.7B2A6B228.15B264.15B$613.A14B489.9BA5B228.15B264.
15B$612.BABA11B489.15B228.15B264.15B$611.2B2A11B489.15B228.15B264.6BA
8B$610.15B489.15B228.15B264.6BA8B$609.15B489.15B228.15B264.7B3A5B$
608.15B489.A14B228.15B264.15B$607.15B489.A5BA8B228.15B264.15B$606.7BA
7B489.B3A2BA8B228.15B264.ABA12B$605.6B2A7B489.7B3A5B228.15B264.B2A12B
$604.8B2A5B489.15B228.15B264.3BA11B$603.15B489.15B228.15B264.15B$602.
15B489.15B228.15B264.15B$601.15B489.15B228.15B264.15B$600.15B489.6BAB
A6B228.15B264.15B$599.15B489.7B2A6B228.15B264.6BA8B$598.15B489.9BA5B
228.15B264.7BABA5B$597.15B489.15B228.15B264.8B2A5B$596.15B489.15B228.
15B264.15B$595.15B489.15B228.15B264.BA13B$594.15B489.15B228.15B264.2A
5BA7B$593.15B489.A14B228.15B264.2B2A2B2A7B$592.15B489.A5BA8B228.15B
264.8B2A5B$591.15B489.B3A2BA8B228.15B264.15B$590.A14B489.7B3A5B228.
15B264.15B$589.BABA2BA8B489.15B228.15B264.15B$588.2B2A3BABA5B489.15B
228.15B264.6BA8B$587.8B2A5B489.15B228.15B264.6BA8B$586.15B489.15B228.
15B264.7B3A5B$585.15B489.6BABA6B228.15B264.15B$584.15B489.7B2A6B228.
15B264.15B$583.7BA7B489.9BA5B228.15B264.ABA12B$582.6B2A7B489.15B228.
15B264.B2A12B$581.8B2A5B489.15B228.15B264.3BA11B$580.15B489.15B228.
15B264.15B$579.15B489.15B228.15B264.15B$578.15B489.A14B228.15B264.15B
$577.15B489.A14B228.15B264.15B$576.15B489.B3A11B228.15B264.6BA8B$575.
15B489.15B228.15B264.7BABA5B$574.15B489.15B228.15B264.8B2A5B$573.15B
489.15B228.15B264.15B$572.15B489.15B228.15B264.BA13B$571.15B489.15B
228.15B264.2A13B$570.15B489.6BABA6B228.15B264.2B2A11B$569.15B489.7B2A
6B228.15B264.15B$568.15B489.9BA5B228.15B264.15B$567.A14B489.15B228.
15B264.15B$566.BABA2BA8B489.15B228.15B264.15B$565.2B2A3BABA5B489.15B
228.15B264.6BA8B$564.8B2A5B489.15B228.15B264.6BA8B$563.15B489.A14B
228.15B264.7B3A5B$562.15B489.A14B228.15B264.15B$561.15B489.B3A11B228.
15B264.15B$560.7BA7B489.15B228.15B264.ABA12B$559.6B2A7B489.15B228.15B
264.B2A12B$558.8B2A5B489.15B228.15B264.3BA11B$557.15B489.15B228.15B
264.15B$556.15B489.15B228.15B264.15B$555.15B489.6BABA6B228.15B264.15B
$554.15B489.7B2A6B228.15B264.15B$553.15B489.9BA5B228.15B264.6BA8B$
552.15B489.15B228.15B264.7BABA5B$551.15B489.15B228.15B264.8B2A5B$550.
15B489.15B228.15B264.15B$549.15B489.15B228.15B264.BA13B$548.15B489.A
14B228.15B264.2A5BA7B$547.15B489.A14B228.15B264.2B2A2B2A7B$546.15B
489.B3A11B228.15B264.8B2A5B$545.15B489.15B228.15B264.15B$544.A14B489.
15B228.15B264.15B$543.BABA2BA8B489.15B228.15B264.15B$542.2B2A3BABA5B
489.15B228.15B264.6BA8B$541.8B2A5B489.15B228.15B264.6BA8B$540.15B489.
6BABA6B228.15B264.7B3A5B$539.15B489.7B2A6B228.15B264.15B$538.15B489.
9BA5B228.15B264.15B$537.7BA7B489.15B228.15B264.ABA12B$536.6B2A7B489.
15B228.15B264.B2A12B$535.8B2A5B489.15B228.15B264.3BA11B$534.15B489.
15B228.15B264.15B$533.15B489.A14B228.15B264.15B$532.15B489.A14B228.
15B264.15B$531.15B489.B3A11B228.15B264.15B$530.15B489.15B228.15B264.
6BA8B$529.15B489.15B228.15B264.7BABA5B$528.15B489.15B228.15B264.8B2A
5B$527.15B489.15B228.15B264.15B$526.15B489.15B228.15B264.BA13B$525.
15B489.6BABA6B228.15B264.2A5BA7B$524.15B489.7B2A6B228.15B264.2B2A2B2A
7B$523.15B489.9BA5B228.15B264.8B2A5B$522.15B489.15B228.15B264.15B$
521.A14B489.15B228.15B264.15B$520.BABA2BA8B489.15B228.15B264.15B$519.
2B2A3BABA5B489.15B228.15B264.6BA8B$518.8B2A5B489.A14B228.15B264.6BA8B
$517.15B489.A14B228.15B264.7B3A5B$516.15B489.B3A11B228.15B264.15B$
515.15B489.15B228.15B264.15B$514.7BA7B489.15B228.15B264.ABA12B$513.6B
2A7B489.15B228.15B264.B2A3BABA6B$512.8B2A5B489.15B228.15B264.3BA3B2A
6B$511.15B489.15B228.15B264.9BA5B$510.15B489.6BABA6B228.15B264.15B$
509.15B489.7B2A6B228.15B264.15B$508.15B489.9BA5B228.15B264.15B$507.
15B489.15B228.15B264.6BA8B$506.15B489.15B228.15B264.7BABA5B$505.15B
489.15B228.15B264.8B2A5B$504.15B489.15B228.15B264.15B$503.15B489.A14B
228.15B264.BA13B$502.15B489.A14B228.15B264.2A13B$501.15B489.B3A11B
228.15B264.2B2A11B$500.15B489.15B228.15B264.15B$499.15B489.15B228.15B
264.15B$498.A14B489.15B228.15B264.15B$497.BABA2BA8B489.15B228.15B264.
15B$496.2B2A3BABA5B489.15B228.15B264.6BA8B$495.8B2A5B489.6BABA6B228.
15B264.6BA8B$494.15B489.7B2A6B228.15B264.7B3A5B$493.15B489.9BA5B228.
15B264.15B$492.15B489.15B228.15B264.15B$491.7BA7B489.15B228.15B264.AB
A12B$490.6B2A7B489.15B228.15B264.B2A3BABA6B$489.8B2A5B489.15B228.15B
264.3BA3B2A6B$488.15B489.A14B228.15B264.9BA5B$487.15B489.A14B228.15B
264.15B$486.15B489.B3A11B228.15B264.15B$485.15B489.15B228.15B264.15B$
484.15B489.15B228.15B264.6BA8B$483.15B489.15B228.15B264.7BABA5B$482.
15B489.15B228.15B264.8B2A5B$481.15B489.15B228.15B264.15B$480.15B489.
6BABA6B228.15B264.BA13B$479.15B489.7B2A6B228.15B264.2A5BA7B$478.15B
489.9BA5B228.15B264.2B2A2B2A7B$477.15B489.15B228.15B264.8B2A5B$476.
15B489.15B228.15B264.15B$475.A14B489.15B228.15B264.15B$474.BABA2BA8B
489.15B228.15B264.15B$473.2B2A3BABA5B489.A14B228.15B264.6BA8B$472.8B
2A5B489.A14B228.15B264.6BA8B$471.15B489.B3A11B228.15B264.7B3A5B$470.
15B489.15B228.15B264.15B$469.15B489.15B228.15B264.15B$468.7BA7B489.
15B228.15B264.ABA12B$467.6B2A7B489.15B228.15B264.B2A3BABA6B$466.8B2A
5B489.15B228.15B264.3BA3B2A6B$465.15B489.6BABA6B228.15B264.9BA5B$464.
15B489.7B2A6B228.15B264.15B$463.15B489.9BA5B228.15B264.15B$462.15B
489.15B228.15B264.15B$461.15B489.15B228.15B264.6BA8B$460.15B489.15B
228.15B264.7BABA5B$459.15B489.15B228.15B264.8B2A5B$458.15B489.A14B
228.15B264.15B$457.15B489.A14B228.15B264.2B2A11B$456.15B489.B3A11B
228.15B264.3B2A10B$455.15B489.15B228.15B264.15B$454.15B489.15B228.15B
264.15B$453.15B489.15B228.15B264.15B$452.A14B489.15B228.15B264.15B$
451.BABA2BA8B489.15B228.15B264.15B$450.2B2A3BABA5B489.6BABA6B228.15B
264.15B$449.8B2A5B489.7B2A6B228.15B264.15B$448.15B489.9BA5B228.15B
264.15B$447.15B489.15B228.15B264.15B$446.15B489.15B228.15B264.15B$
445.7BA7B489.15B228.15B264.15B$444.6B2A7B489.15B228.15B264.15B$443.8B
2A5B489.2B2A11B228.15B264.15B$442.15B489.3B2A10B228.15B264.15B$441.
15B489.15B228.15B264.15B$440.15B489.15B228.15B264.15B$439.15B489.15B
228.15B264.15B$438.15B489.15B228.15B264.15B$437.15B489.15B228.15B264.
15B$436.15B489.15B228.15B264.15B$435.15B489.15B228.15B264.15B$434.15B
489.15B228.15B264.15B$433.15B489.15B228.15B264.15B$432.15B489.15B228.
15B264.15B$431.15B489.15B228.15B264.15B$430.15B489.15B228.15B264.15B$
429.A14B489.15B228.15B264.15B$428.BABA2BA8B489.15B228.15B264.15B$427.
2B2A3BABA5B489.15B228.15B264.15B$426.8B2A5B489.15B228.15B264.15B$425.
15B489.15B228.15B264.15B$424.15B489.15B228.15B264.15B$423.15B489.15B
228.15B264.15B$422.7BA7B489.15B228.15B264.15B$421.6B2A7B489.15B228.
15B264.15B$420.8B2A5B489.15B228.15B264.15B$419.15B489.15B228.15B264.
15B$418.15B489.15B228.15B264.15B$417.15B489.15B228.15B264.15B$416.15B
489.15B228.15B264.15B$415.15B489.15B228.15B264.15B$414.15B489.15B228.
15B264.15B$413.15B489.15B228.15B264.15B$412.15B489.15B228.15B264.15B$
411.15B489.15B228.15B264.15B$410.15B489.15B228.15B264.15B$409.15B489.
15B228.15B264.15B$408.15B489.15B228.15B264.15B$407.15B489.15B228.15B
264.15B$406.A14B489.15B228.15B264.15B$405.BABA2BA8B489.15B228.15B264.
15B$404.2B2A3BABA5B489.15B228.15B264.15B$403.8B2A5B489.15B228.15B264.
15B$402.15B489.15B228.15B264.15B$401.15B489.15B228.15B264.15B$400.15B
489.15B228.15B264.15B$399.7BA7B489.15B228.15B264.15B$398.6B2A7B489.
15B228.15B264.15B$397.8B2A5B489.15B228.15B264.15B$396.15B489.15B228.
15B264.15B$395.15B489.15B228.15B264.15B$394.15B489.15B228.15B264.15B$
393.15B489.15B228.15B264.15B$392.15B489.15B228.15B264.15B$391.15B489.
15B228.15B264.15B$390.15B489.15B228.15B264.15B$389.15B489.15B228.15B
264.15B$388.15B489.15B228.15B264.15B$387.15B489.15B228.15B264.15B$
386.15B489.15B228.15B264.15B$385.15B489.15B228.15B264.15B$384.15B489.
15B228.15B264.15B$383.A14B489.15B228.15B264.15B$382.BABA2BA8B489.15B
228.15B264.15B$381.2B2A3BABA5B489.15B228.15B264.15B$380.8B2A5B489.15B
228.15B264.15B$379.15B489.15B228.15B264.15B$378.15B489.15B228.15B264.
15B$377.15B489.15B228.15B264.15B$376.7BA7B489.15B228.15B264.15B$375.
6B2A7B489.15B228.15B264.15B$374.8B2A5B489.15B228.15B264.15B$373.15B
489.15B228.15B264.15B$372.15B489.15B228.15B264.15B$371.15B489.15B228.
15B264.15B$370.15B489.15B228.15B264.15B$369.15B489.15B228.15B264.15B$
368.15B489.15B228.15B264.15B$367.15B489.15B228.15B264.15B$366.15B489.
15B228.15B264.15B$365.15B489.15B228.15B264.15B$364.15B489.15B228.15B
264.15B$363.15B489.15B228.15B264.15B$362.15B489.15B228.15B264.15B$
361.15B489.15B228.15B264.15B$360.A14B489.15B228.15B264.15B$359.BABA2B
A8B489.15B228.15B264.15B$358.2B2A3BABA5B489.15B228.15B264.15B$357.8B
2A5B489.15B228.15B264.15B$356.15B489.15B228.15B264.15B$355.15B489.15B
228.15B264.15B$354.15B489.15B228.15B264.15B$353.7BA7B489.15B228.15B
264.15B$352.6B2A7B489.15B228.15B264.15B$351.8B2A5B489.15B228.15B264.
15B$350.15B489.15B228.15B264.15B$349.15B489.15B228.15B264.15B$348.15B
489.15B228.15B264.15B$347.15B489.15B228.15B264.15B$346.15B489.15B228.
15B264.15B$345.15B489.15B228.15B264.15B$344.15B489.15B228.15B264.15B$
343.15B489.15B228.15B264.15B$342.15B489.15B228.15B264.15B$341.15B489.
15B228.15B264.15B$340.15B489.15B228.15B264.15B$339.15B489.15B228.15B
264.15B$338.15B489.15B228.15B264.15B$337.A14B489.15B228.15B264.15B$
336.BABA11B489.15B228.15B264.15B$335.2B2A11B489.15B228.15B264.15B$
334.15B489.15B228.15B264.15B$333.15B489.15B228.15B264.15B$332.15B489.
15B228.15B264.15B$331.15B489.15B228.15B264.15B$330.7BA7B489.15B228.
15B264.15B$329.6B2A7B489.15B228.15B264.15B$328.8B2A5B489.15B228.15B
264.15B$327.15B489.15B228.15B264.15B$326.15B489.15B228.15B264.15B$
325.15B489.15B228.15B264.15B$324.15B489.15B228.15B264.15B$323.15B489.
15B228.15B264.15B$322.15B489.15B228.15B264.15B$321.15B489.15B228.15B
264.15B$320.15B489.15B228.15B264.15B$319.15B489.15B228.15B264.15B$
318.15B489.15B228.15B264.15B$317.2B2A11B489.15B228.15B264.15B$316.3B
2A10B489.15B228.15B264.15B$315.15B489.15B228.15B264.15B$314.15B489.
15B228.15B264.15B$313.15B489.15B228.15B264.15B$312.15B489.15B228.15B
264.15B$311.15B489.15B228.15B264.15B$310.15B489.15B228.15B264.15B$
309.15B489.15B228.15B264.15B$308.15B489.15B228.15B264.15B$307.15B489.
15B228.15B264.15B$306.15B489.15B228.15B264.15B$305.15B489.15B228.15B
264.15B$304.15B489.15B228.15B264.15B$303.15B489.15B228.15B264.15B$
302.15B489.15B228.15B264.15B$301.15B489.15B228.15B264.15B$300.15B489.
15B228.15B264.15B$299.15B489.15B228.15B264.15B$298.15B489.15B228.15B
264.15B$297.15B489.15B228.15B264.15B$296.15B489.15B228.15B264.15B$
295.15B489.15B228.15B264.15B$294.15B489.15B228.15B264.15B$293.15B489.
15B228.15B264.15B$292.15B489.15B228.15B264.15B$291.15B489.15B228.15B
264.15B$290.15B489.15B228.15B264.15B$289.15B489.15B228.15B264.15B$
288.15B489.15B228.15B264.15B$287.15B489.15B228.15B264.15B$286.15B489.
15B228.15B264.15B$285.15B489.15B228.15B264.15B$284.15B489.15B228.15B
264.15B$283.15B489.15B228.15B264.15B$282.15B489.15B228.15B264.15B$
281.15B489.15B228.15B264.15B$280.15B489.15B228.15B264.15B$279.15B489.
15B228.15B264.15B$278.15B489.15B228.15B264.15B$277.15B489.15B228.15B
264.15B$276.15B489.15B228.15B264.15B$275.15B489.15B228.15B264.15B$
274.15B489.15B228.15B264.15B$273.15B489.15B228.15B264.15B$272.15B489.
15B228.15B264.15B$271.15B489.15B228.15B264.15B$270.15B489.15B228.15B
264.15B$269.15B489.15B228.15B264.15B$268.15B489.15B228.15B264.15B$
267.15B489.15B228.15B264.15B$266.15B489.15B228.15B264.15B$265.15B489.
15B228.15B264.15B$264.15B489.15B228.15B264.15B$263.15B489.15B228.15B
264.15B$262.15B489.15B228.15B264.15B$261.15B489.15B228.15B264.15B$
260.15B489.15B228.15B264.15B$259.15B489.15B228.15B264.15B$258.15B489.
15B228.15B264.15B$257.15B489.15B228.15B264.15B$256.15B489.15B228.15B
264.15B$255.15B489.15B228.15B264.15B$254.15B489.15B228.15B264.15B$
253.15B489.15B228.15B264.15B$252.15B489.15B228.15B264.15B$251.15B489.
15B228.15B264.15B$250.15B489.15B228.15B264.15B$249.15B489.15B228.15B
264.15B$248.15B489.15B228.15B264.15B$247.15B489.15B228.15B264.15B$
246.15B489.15B228.15B264.15B$245.15B489.15B228.15B264.15B$244.15B489.
15B228.15B264.15B$243.15B489.15B228.15B264.15B$242.15B489.15B228.15B
264.15B$241.15B489.15B228.15B264.15B$240.15B489.15B228.15B264.15B$
239.15B489.15B228.15B264.15B$238.15B489.15B228.15B264.15B$237.15B489.
15B228.15B264.15B$236.15B489.15B228.15B264.15B$235.15B489.15B228.15B
264.15B$234.15B489.15B228.15B264.15B$233.15B489.15B228.15B264.15B$
232.15B489.15B228.15B264.15B$231.15B489.15B228.15B264.15B$230.15B489.
15B228.15B264.15B$229.15B489.15B228.15B264.15B$228.15B489.15B228.15B
264.15B$227.15B489.15B228.15B264.15B$226.15B489.15B228.15B264.15B$
225.15B489.15B228.15B264.15B$224.15B489.15B228.15B264.15B$223.15B489.
15B228.15B264.15B$222.15B489.15B228.15B264.15B$221.15B489.15B228.15B
264.15B$220.15B489.15B228.15B264.15B$219.15B489.15B228.15B264.15B$
218.15B489.15B228.15B264.15B$217.15B489.15B228.15B264.15B$216.15B489.
15B228.15B264.15B$215.15B489.15B228.15B264.15B$214.15B489.15B228.15B
264.15B$213.15B489.15B228.15B264.15B$212.15B489.15B228.15B264.15B$
211.15B489.15B228.15B264.15B$210.15B489.15B228.15B264.15B$209.15B489.
15B228.15B264.15B$208.15B489.15B228.15B264.15B$207.15B489.15B228.15B
264.15B$206.15B489.15B228.15B264.15B$205.15B489.15B228.15B264.15B$
204.15B489.15B228.15B264.15B$203.15B489.15B228.15B264.15B$202.15B489.
15B228.15B264.15B$201.15B489.15B228.15B264.15B$200.15B489.15B228.15B
264.15B$199.15B489.15B228.15B264.15B$198.15B489.15B228.15B264.15B$
197.15B489.15B228.15B264.15B$196.15B489.15B228.15B264.15B$195.15B489.
15B228.15B264.15B$194.15B489.15B228.15B264.15B$193.15B489.15B228.15B
264.15B$192.15B489.15B228.15B264.15B$191.15B489.15B228.15B264.15B$
190.15B489.15B228.15B264.15B$189.15B489.15B228.15B264.15B$188.15B489.
15B228.15B264.15B$187.15B489.15B228.15B264.15B$186.15B489.15B228.15B
264.15B$185.15B489.15B228.15B264.15B$184.15B489.15B228.15B264.15B$
183.15B489.15B228.15B264.15B$182.15B489.15B228.15B264.15B$181.15B489.
15B228.15B264.15B$180.15B489.15B228.15B264.15B$179.15B489.15B228.15B
264.15B$178.15B489.15B228.15B264.15B$177.15B489.15B228.15B264.15B$
176.15B489.15B228.15B264.15B$175.15B489.15B228.15B264.15B$174.15B489.
15B228.15B264.15B$173.15B489.15B228.15B264.15B$172.15B489.15B228.15B
264.15B$171.15B489.15B228.15B264.15B$170.15B489.15B228.15B264.15B$
169.15B489.15B228.15B264.15B$168.15B489.15B228.15B264.15B$167.15B489.
15B228.15B264.15B$166.15B489.15B228.15B264.15B$165.15B489.15B228.15B
264.15B$164.15B489.15B228.15B264.15B$163.15B489.15B228.15B264.15B$
162.15B489.15B228.15B264.15B$161.15B489.15B228.15B264.15B$160.15B489.
15B228.15B264.15B$159.15B489.15B228.15B264.15B$158.15B489.15B228.15B
264.15B$157.15B489.15B228.15B264.15B$156.15B489.15B228.15B264.15B$
155.15B489.15B228.15B264.15B$154.15B489.15B228.15B264.15B$153.15B489.
15B228.15B264.15B$152.15B489.15B228.15B264.15B$151.15B489.15B228.15B
264.15B$150.15B489.15B228.15B264.15B$149.15B489.15B228.15B264.15B$
148.15B489.15B228.15B264.15B$147.15B489.15B228.15B264.15B$146.15B489.
15B228.15B264.15B$145.15B489.15B228.15B264.15B$144.15B489.15B228.15B
264.15B$143.15B489.15B228.15B264.15B$142.15B489.15B228.15B264.15B$
141.15B489.15B228.15B264.15B$140.15B489.15B228.15B264.15B$139.15B489.
15B228.15B264.15B$138.15B489.15B228.15B264.15B$137.15B489.15B228.15B
264.15B$136.15B489.15B228.15B264.15B$135.15B489.15B228.15B264.15B$
134.15B489.15B228.15B264.15B$133.15B489.15B228.15B264.15B$132.15B489.
15B228.15B264.15B$131.15B489.15B228.15B264.15B$130.15B489.15B228.15B
264.15B$129.15B489.15B228.15B264.15B$128.15B489.15B228.15B264.15B$
127.15B489.15B228.15B264.15B$126.15B489.15B228.15B264.15B$125.15B489.
15B228.15B264.15B$124.15B489.15B228.15B264.15B$123.15B489.15B228.15B
264.15B$122.15B489.15B228.15B264.15B$121.15B489.15B228.15B264.15B$
120.15B489.15B228.15B264.15B$119.15B489.15B228.15B264.15B$118.15B489.
15B228.15B264.15B$117.15B489.15B228.15B264.15B$116.15B489.15B228.15B
264.15B$115.15B489.15B228.15B264.15B$114.15B489.15B228.15B264.15B$
113.15B489.15B228.15B264.15B$112.15B489.15B228.15B264.15B$111.15B489.
15B228.15B264.15B$110.15B489.15B228.15B264.15B$109.15B489.15B228.15B
264.15B$108.15B489.15B228.15B264.15B$107.15B489.15B228.15B264.15B$
106.15B489.15B228.15B264.15B$105.15B489.15B228.15B264.15B$104.15B489.
15B228.15B264.15B$103.15B489.15B228.15B264.15B$102.15B489.15B228.15B
264.15B$101.15B489.15B228.15B264.15B$100.15B489.15B228.15B264.15B$99.
15B489.15B228.15B264.15B$98.15B489.15B228.15B264.15B$97.15B489.15B
228.15B264.15B$96.15B489.15B228.15B264.15B$95.15B489.15B228.15B264.
15B$94.15B489.15B228.15B264.15B$93.15B489.15B228.15B264.15B$92.15B
489.15B228.15B264.15B$91.15B489.15B228.15B264.15B$90.15B489.15B228.
15B264.15B$89.15B489.15B228.15B264.15B$88.15B489.15B228.15B264.15B$
87.15B489.15B228.15B264.15B$86.15B489.15B228.15B264.15B$85.15B489.15B
228.15B264.15B$84.15B489.15B228.15B264.15B$83.15B489.15B228.15B264.
15B$82.15B489.15B228.15B264.15B$81.15B489.15B228.15B264.15B$80.15B
489.15B228.15B264.15B$79.15B489.15B228.15B264.15B$78.15B489.15B228.
15B264.15B$77.15B489.15B228.15B264.15B$76.15B489.15B228.15B264.15B$
75.15B489.15B228.15B264.15B$74.15B489.15B228.15B264.15B$73.15B489.15B
228.15B264.15B$72.15B489.15B228.15B264.15B$71.15B489.15B228.15B264.
15B$70.15B489.15B228.15B264.15B$69.15B489.15B228.15B264.15B$68.15B
489.15B228.15B264.15B$67.15B489.15B228.15B264.15B$66.15B489.15B228.
15B264.15B$65.15B489.15B228.15B264.15B$64.15B489.15B228.15B264.15B$
63.15B489.15B228.15B264.15B$62.15B489.15B228.15B264.15B$61.15B489.15B
228.15B264.15B$60.15B489.15B228.15B264.15B$59.15B489.15B228.15B264.
15B$58.15B489.15B228.15B264.15B$57.15B489.15B228.15B264.15B$56.15B
489.15B228.15B264.15B$55.15B489.15B228.15B264.15B$54.15B489.15B228.
15B264.15B$53.15B489.15B228.15B264.15B$52.15B489.15B228.15B264.15B$
51.15B489.15B228.15B264.15B$50.15B489.15B228.15B264.15B$49.15B489.15B
228.15B264.15B$48.15B489.15B228.15B264.15B$47.15B489.15B228.15B264.
15B$46.15B489.15B228.15B264.15B$45.15B489.15B228.15B264.15B$44.15B
489.15B228.15B264.15B$43.15B489.15B228.15B264.15B$42.15B489.15B228.
15B264.15B$41.15B489.15B228.15B264.15B$40.15B489.15B228.15B264.15B$
39.15B489.15B228.15B264.15B$38.15B489.15B228.15B264.15B$37.15B489.15B
228.15B264.15B$36.15B489.15B228.15B264.15B$35.15B489.15B228.15B264.
15B$34.15B489.15B228.15B264.15B$33.15B489.15B228.15B264.15B$32.15B
489.15B228.15B264.15B$31.15B489.15B228.15B264.15B$30.15B489.15B228.
15B264.15B$29.15B489.15B228.15B264.15B$28.15B489.15B228.15B264.15B$
27.15B489.15B228.15B264.15B$26.15B489.15B228.15B264.15B$25.15B489.15B
228.15B264.15B$24.15B489.15B228.15B264.15B$23.15B489.15B228.15B264.
15B$22.15B489.15B228.15B264.15B$21.15B489.15B228.15B264.15B$20.15B
489.15B228.15B264.15B$19.15B489.15B228.15B264.15B$18.15B489.15B228.
15B264.15B$17.15B489.15B228.15B264.15B$16.15B489.15B228.15B264.15B$
15.15B489.15B228.15B264.15B$14.15B489.15B228.15B264.15B$13.15B489.15B
228.15B264.15B$12.15B489.15B228.15B264.15B$11.15B489.15B228.15B264.
15B$10.15B489.15B228.15B264.15B$9.15B489.15B228.15B264.15B$8.15B489.
15B228.15B264.15B$7.15B489.15B228.15B264.15B$6.15B489.15B228.15B264.
15B$5.15B489.15B228.15B264.15B$4.15B489.15B228.15B264.15B$3.15B489.
15B228.15B264.15B$2.15B489.15B228.15B264.15B$2.14B490.14B229.14B265.
14B$2.13B491.13B230.13B266.13B$.13B491.13B230.13B266.13B$13B491.13B
230.13B266.13B$12B492.12B231.12B267.12B$11B493.11B232.11B268.11B$.9B
495.9B234.9B270.9B$.8B496.8B235.8B271.8B$2.6B498.6B237.6B273.6B$3.4B
500.4B239.4B275.4B$4.2B502.2B241.2B277.2B!

In this case the oscillation boundaries don't seem to drift, presumably because
the upper boundary is fixed and can't drift up. Try placing the block initially
far enough down the line to keep it from hitting the insertion point. With a
signal inverter the beam will drift down (not really surprising, but shouldn't
happen with true randomness).

A method for controlling the oscillation amplitude without fixing the ends or
deleting the block (which works as in "sawtooth177.rle", but recreating it is a
problem) is shown below: the pushers in the beam delete gliders from a control
track ORed into the input (with considerable delay). When the block moves past
the track, the input is biased in favour of pushers. You can alter the control
track timing so that all gliders are deleted, which might make an oscillation
boundary detector, but I couldn't find a glider gun that doesn't break with that
timing when the block passes it. A Heisenburp device on the upper glider stream
would be the obvious alternative to the control track, but unfortunately it also
breaks.

Code: Select all

x = 423, y = 274, rule = LifeHistory
119.4B3.B.9B.B$119.4B.17B.B$118.2A14B2A8B$118.2A15B2A7B2.B.9B.B3.4B$
119.B.10B5A14BA3BA6B.4B$121.10B4A14BA5BA9B2A$35.2A5.2A98.7BA15B2A$34.
B2AB3.B2AB76.10B4A14B2A3BA9B.B$31.AB.3B5.3B.BA30.2A39.B.10B5A15B3A10B
$30.A.A5B3.5BA.A29.A39.2A15B2A7B$30.2A.6B.6B.2A23.2A.2A.A39.2A14B2A6B
.8B3A10B$34.5B.5B25.A2.A.A.A41.4B.25B2A3BA9B.B$34.5B.5B25.2A3.BA3.3B
7.A8.2A18.4B3.B.12B2.7BA15B2A$33.6B.6B28.4B.5B4.3A7.A.A34.4B3.7BA5BA
9B2A$33.6B.6B28.10B3.A10.BA34.4B6.6BA3BA6B.4B$33.6B.6B29.9B3.2A10.2B
2.9B.B3.4B12.A3B9.B.9B.B3.4B$33.3BA2B.2BA3B26.BA5BA9B8.15B2ABA.4B11.A
3B$33.2B3AB.B3A2B21.2A.B2ABA3BAB2A5B9.2A9B3A2B2A2BA3B2A9.B3A$33.BA3BA
.A3BAB20.A.3A3BA3BA3BA3B2A8.2A10B2A6BA3B2A8.4B$33.BA4B.4BAB19.A3.BA4B
ABA4BA3B2A9.B.10B3A3B2A2B.B8.4B$33.2B3AB.B3A2B18.A5.2A4BA4B2A2B.B13.
10BA3BA4B9.4B$33.6B.6B18.2A4.2BA7BA4B28.3B.B.3B5.4B$34.5B.5B20.2B4.B.
BA3BA4B17.10BA3BA7B4.4B$33.6B.6B12.2A4.5B5.A3BA3B8.A6.B.10B3A3B2A7B.
4B$34.5B.5B14.A4.6B5.6B7.3A5.2A10B2A6BA11B$34.5B.5B12.A5.6B5.B3A2B7.A
8.2A9B3A2B2A2BA10B$32.2A10B13.2A4.7B4.6B7.2A8.15B2ABA10B80.2A14.A$31.
A8B.3B16.2B.9B2.6B4.5B3.2A5.2B2.9B.3B.B.2BA3B82.A13.A.A$32.4B.BABAB
15.2A5B2A13B4.4B5.A5.BA20.BABAB82.A.AB10.A.A18.2A$31.5B.2B2AB15.A.A5B
2A12B4.5B6.A3.A.A18.2B2A3B82.2AB.2A5.3A.2A17.A.A$31.5B.2BA3B15.A.4B2A
14B2.7B4.2A4.2A17.4B.4B83.2B2AB3.A4.B19.AB$30.6B.7B11.3A3.12B.6B.8B.
2B25.4B3.4B82.4B5.3AB2AB3.B.7B2A2.2B$31.5B.8B10.A4.12B3.18B2A21.4B5.
4B81.6B5.A.2AB.10B5A4B$30.3BA2B.2BA6B13.13B3.12B3A2BA.A20.4B7.4B77.9B
7.4B2A8BA4BA2B2A$30.2B2A2B.2B2A6B12.12B4.ABA9BABA2B.A20.4B9.B3A75.11B
7.2BA10B3A2BA2B2A$30.BAB2AB.B2ABAB.4B11.11B5.3BA8BABAB3.3A16.4B11.A3B
74.12B6.14BA2B2AB.B$30.BAB2AB.B2ABAB2.4B11.9B6.3BA13B4.A15.4B13.A3B
73.13B3.B2A14B2A2B$30.2B3AB.B3A2B3.4B13.6B6.A2BA14B18.4B15.4B68.A4.
16B2A4B$30.2B3AB.B3A2B4.4B12.4B8.B3AB.12B17.A3B17.4B67.3A3.31B2A2B$
30.6B.6B5.2BAB11.2B2AB7.5B2.11B16.A3B19.4B69.A.4B2A25BA2B2AB.B$30.6B.
6B6.2B2A8.2AB.2A8.5B3.9B16.B3A21.4B67.A.BABA2BA24B3A2BA2B2A$30.6B.6B
7.2A2B6.A.AB11.5B3.6B18.4B23.4B66.2A6BA24BA4BA2B2A$31.5B.5B9.4B5.A14.
5B5.4B17.4B25.4B68.2B.BA6B.B2.5BA9B5A4B$31.5B.5B10.4B3.2A14.5B4.B2A2B
16.4B27.4B64.2A4.7B5.6BAB.7B2A2.2B$27.2A.6B.6B.2A7.4B18.5B5.2A.B2A13.
ABAB29.4B63.A6.5B7.B.B3AB13.AB$27.A.A5B3.5BA.A8.4B17.5B8.BA.A11.B2AB
31.4B64.A5.4B8.7B11.A.A$28.AB.3B5.3B.BA10.4B16.5B11.A10.3BA33.4B62.2A
3.5B8.3B3D3B10.2A$31.B2AB3.B2AB14.4B15.5B11.2A8.4B35.4B66.2A10.4BD2BD
3B$32.2A5.2A16.4B14.5B20.4B37.4B66.A9.5BD7B$58.4B13.5B19.4B39.4B62.3A
9.4B.BD3B.4B$42.2A15.4B12.5B18.A3B41.4B61.A10.4B2.2BDBD2.4B$42.A17.BA
BA11.5B17.BABA43.4B70.4B3.5B3.4B$36.2A.2A.A18.B2AB10.5B16.2B2A45.4B
68.4B4.5B4.4B$34.A2.A.A.A20.A3B9.5B15.4B47.4B66.4B5.5B5.4B$34.2A3.BA
3.3B7.A8.4B8.5B14.4B49.4B64.4B6.5B6.4B$38.4B.5B4.3A9.4B7.5B13.4B51.4B
62.4B7.5B7.4B$19.2A9.2A6.10B3.A13.4B6.5B12.4B53.4B60.4B8.5B8.4B$20.A
10.A7.B3A5B3.2A13.4B5.2BABA11.4B55.B3A58.4B9.5B9.4B$20.A.AB7.A.AB2.3B
A12B14.4B4.BA3B10.4B57.A3B56.4B10.5B10.4B$21.2AB.2A5.2AB.4B3A8B17.4B
3.BA3B9.4B59.A3B6.B47.4B11.5B11.4B$23.2B2AB6.16B2A17.4B.2BA2BA8.4B50.
2A9.4B4.3B45.4B12.5B12.4B$23.4B7.16B2A18.6B3A2B6.A3B50.A.A10.4B3.4B
43.4B13.5B13.4B$23.6B5.15B.B20.2BA6B6.A3B51.BA12.4B2.5B41.4B14.5B14.
4B$20.9B6.14B21.4B2AB8.B3A53.2B2.9B.10BA39.4B15.5B15.4B$19.6B3A2B7.
10B22.4B2A2B7.4B52.13B2A10B2AB37.4B16.5B16.4B$19.5BA2BA3B7.8B23.8B6.
4B52.2A11B2AB2A7B.ABAB35.4B17.5B17.3BD$19.5BA3BA3B7.6B25.7B5.4B53.2A
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$40.15B5.B23.6B7.13B16.A.A3BABA4BAB21.A.A4.4B21.2A2BA.A2B2A6.6B.6B.5B
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23B.4B$365.12B3A14B2A$364.13BA3BA12B2A$365.12BA4BA10B.B$367.11BA3BA
10B$367.3B.B.3B$370.8BA3BA10B$368.B.7BA4BA10B.B$367.2A8BA3BA12B2A$
367.2A8B3A14B2A$368.4B.17B.4B$368.4B3.B.9B.B3.4B!

This example uses a p92 PRNG, but my tests seem to show that using PRNGs with a
multiple of the base period isn't a good idea. They are bigger, because the loop
length is proportional to the period. Use the base period with a pulse divider.

By counting the spaces between the marked loop positions, you can determine the
PRNG's K factor (in this case 18). Note that you have some leeway with the part
of the switch marked in yellow. Since all the gliders do is create or destroy a
block, or delete a signal, their timing isn't critical within a few ticks. To
increase K by 1, move the reflector pair out by 12 diagonals, advance outside
the reflectors by 48 ticks and delay the yellow part of the switch by 4.

Incidentally, the control track has a pulse divider in it. Why don't you copy it
out together with a few gliders of the control track, advance it by 2 ticks and
put it in again? Warning: You will have to extend the pattern considerably to
avoid breakage.

The oscillation bottom can be fixed too:

Code: Select all

x = 359, y = 183, rule = LifeHistory
210.2A5.2A$209.B2AB3.B2AB$206.AB.3B5.3B.BA$125.2A5.2A71.A.A5B3.5BA.A$
124.A2BA3.A2BA70.2A.6B.6B.2A$121.AB.A2B5.2BA.BA30.2A39.5B.5B$120.A.AB
A2BA3.A2BABA.A29.A40.5B.5B$120.2A.B2A2BA.A2B2AB.2A23.2A.2A.A22.2A5.2A
8.6B.6B$124.2AB2A.2AB2A25.A2.A.A.A21.2B2AB3.B2A2B6.6B.6B$124.3B2A.2A
3B25.2A3.BA3.3B7.A8.4B5.4B6.6B.6B$123.2BABAB.BABA2B28.4B.3B2A4.3A8.6B
.6B6.2B3AB.B3A2B$123.BA2BAB.BA2BAB28.6B3AB3.A11.6B.6B6.2B3AB.B3A2B$
123.4BAB.BA4B29.6BA2B3.2A12.4B.4B8.BAB2AB.B2ABAB$123.BABA2B.2BABAB26.
6B2AB2A6B11.5B.5B7.BAB2AB.B2ABAB$123.2BA3B.3BA2B21.2A.8BA2B2A4B13.5B.
5B7.2B2A2B.2B2A2B$123.6B.6B20.A.A7BA2BAB2A3B2A11.6B.6B6.3BA2B.2BA3B$
123.6B.6B19.A3.6BA5BA4B2A12.5B.5B8.5B.5B$123.6B.6B18.A5.4BA7BA2B.B12.
6B.6B6.6B.6B$123.6B.6B18.2A4.15B14.6B.6B7.5B.5B$124.5B.5B20.BA4.B.5BA
2BAB16.6B.6B7.5B.5B$123.6B.6B12.2A4.5A5.4BA3B8.A8.4B2A.2A4B8.11BA$
124.5B.5B14.A4.2B3AB5.6B7.3A8.4B2A.2A4B8.3B.7BAB$124.5B.5B12.A5.ABA2B
A5.2A3BA7.A11.4B2A.2A4B10.BA3B.4B$122.12B13.2A4.ABA4B4.2B3AB7.2A10.2B
AB2A.2ABA2B10.BABAB.5B$121.9B.3B16.2B.9B2.6B4.5B3.2A5.2B3AB.B3A2B9.2B
2A2B.5B$122.4B.5B15.2A5BA2BA3BA7B4.4B5.A6.3BA2B.2BA3B8.7B.6B$121.5B.
5B15.A.A7BA2B2A7B4.2BA2B6.A5.5B.5B8.8B.5B$121.5B.6B15.A.4BA2BA3BA8B2.
2B3A2B4.2A4.13B6.5B2A2B.2B2A2B$120.6B.7B11.3A3.12B.6B.2B2AB2AB.2B8.
12B5.10B.6B$121.5B.7BA10.A4.3BABA6B3.7B2A9B2A5.12B4.4B.BA4B.4BAB$120.
6B.5BABAB13.4BABA2BA3B3.6B3A8BA.A6.4B.5B4.4B2.BA3BA.A3BAB$120.6B.6B2A
2B12.4B2A2B2A2B4.7B2A8B.A5.13B2.4B3.BA3BA.A3BAB$120.6B.6B.4B11.6BA2BA
B5.8B2AB2A3B3.3A2.6B.5B2.4B4.2BABAB.BABA2B$120.6B.6B2.4B11.5B3AB6.9B
3A5B4.A2.4B2.7BA3B5.3BA2B.2BA3B$120.2BA3B.3BA2B3.4B13.6B6.10BA7B6.2B
2AB.6BA3B6.6B.6B$120.2B2A2B.2B2A2B4.4B12.4B8.5B.12B8.2A2.6B3A7.6B.6B$
120.2B3AB.B3A2B5.4B11.2B2AB7.5B2.11B14.6B9.5B.5B$120.4B2A.2A4B6.4B8.
2AB.2A8.5B3.9B15.5B9.13B$120.4BAB.BA4B7.4B6.A.AB11.5B3.6B18.5B9.12B$
121.2A3B.3B2A9.4B5.A14.5B5.4B17.7B8.12B$121.2A3B.3B2A10.3BA3.2A14.2B
2AB4.B2A2B16.ABA5B9.5B.4B$117.2A.5BA.A5B.2A7.3BA18.2B3A5.2A.B2A13.B2A
8B2.2A2.13B$117.A.ABA3B3.3BABA.A8.3AB17.BAB2A8.BA.A11.3BA.7B.B2A2B.5B
.6B$118.AB.2AB5.B2A.BA10.4B16.B3AB11.A10.4B2.7B2.11B2.4B$121.ABAB3.BA
BA14.4B15.2BA2B11.2A8.4B4.5B.13B.B2A2B$122.2A5.2A16.4B14.5B20.A3B4.
20B2.2A$148.4B13.5B19.BABA6.5B.4B4.3B$132.2A15.4B12.5B18.2B2A6.12B3.
3B$132.A17.4B11.5B17.4B7.12B4.B$126.2A.2A.A18.4B10.5B16.4B8.13B$124.A
2.A.A.A20.4B9.5B15.4B10.5B.5B$124.2A3.BA3.3B7.A8.4B8.5B14.BA2B10.6B.
6B6.4B3.B.9B.B$128.4B.5B4.3A9.3BA7.5B13.2A2B11.2B3AB.B3A2B6.4B.9B2A6B
.A$109.2A9.2A6.10B3.A13.ABAB6.5B12.2B2A12.BA2BAB.BA2BAB5.2A12BA2BA5BA
BA76.4B3.B.9B.B3.4B$110.A10.A7.9B3.2A13.2A2B5.5B11.4B13.5BA.A5B5.2A
11B2A2BA7BA2.B.9B.B3.4B54.4B.5BA11B.4B$110.A.AB7.A.AB2.16B14.4B4.5B
10.4B14.5BA.A5B6.B.11BA2BA6BA18B.4B21.4B3.B.9B.B3.4B5.2A8B2A15B2A$
111.2AB.2A5.2AB.2BA3BA8B17.4B3.5B9.A3B15.5BA.A5B8.12BA15B4A12B2A20.4B
.17B.4B5.2A7B2A16B2A$113.2B2AB6.3B2A3B2A6B2A17.4B.6B8.A3B16.BA2BAB.BA
2BAB29.7B2ABA12B2A19.2A9B2A14B2A5.B.7B2A2B2A10B.B$113.4B7.2B2A5B2A5B
2A18.11B6.B3A17.2BA3B.3BA2B8.12BA18BA11B.B20.2A8B2A15B2A7.23B$113.6B
5.3B2A3B2A5B.B20.9B6.4B18.6B.6B6.B.11BA2BA4BABA7B2A12B23.B.8B5A10B.B
5.3B.B.3B11.3B.A.3B$110.A8B6.3B5A6B21.7B8.4B20.5B.5B6.2A11B2A2BA3BA2B
AB45.9B4A10B7.22B5A2B$109.B2AB3ABA2B7.2B3A5B22.A7B7.4B21.5B.5B6.2A12B
A2BA4BAB.7B2A12B42.3B.B.3B2.12B2A2B2A5B2ABA2BA3B$109.2B6A2BAB7.2BA5B
23.A7B6.4B18.2A.6B.6B.2A3.4B.9B2A6BA10BA11B.B23.9B4A8B2A3B.12B2A9BA7B
A3B$109.2BA10B7.6B25.A6B5.ABAB19.A.A5B3.5BA.A3.4B3.B.12B2.7B2ABA12B2A
20.B.8B5A5B2ABABA16B2A9B2ABA2BA4B$105.A4.3BABA6BA2B2.14B2A23B5.B2AB
21.AB.3B5.3B.BA20.4B3.7B4A12B2A19.2A8B2A9B2A3B2A16BA10B5A5B$105.3A3.
2B2A4B2A2BA16B4A22B4.3BA25.B2AB3.B2AB22.4B6.17B.4B20.2A9B2A8B2ABABA4B
2.3B.B.3B.9B.3B.A.8B2.2A$108.A.13BA16B2AB2A20B4.4B27.2A5.2A22.4B9.B.
9B.B3.4B21.4B.18B2A6B28.7B.B2A2B$107.A.A5BA7BA18B2A18BA3B2.4B58.4B51.
4B3.B.9B.13B27.7B2.4B$107.2A7BA5BA39BABA2BA3B58.5B69.5B6.4B27.5B.6B$
110.2B.4BA3B.A6B31.2B2A3BABA25BA2BA88BA2BA42BA2BA20B$107.2A4.7B5.3B
31.8B2A2B4A19BA32BA58BA22B4A19BA17B.4B$107.A5.6B6.4B29.10B.2BA3BA18BA
3BA27BA59BA3BA18BA3BA18BA3BA19B$109.A4.6B4.B3A3B26.2B2D6B2.2BA22B4A
28B3A57B4A19BA22B4A20B$108.2A4.5B5.2BA5B24.3B2D6B3.2BA2BA134BA2BA32B
3A3B3A2B$115.2B4.B.10B22.7BA4B56.5B92.4B13.4B4.BA2BA.A2BAB$114.2A4.3A
7B3A2B19.6B2A5B56.7B91.4B11.4B4.BA3BA.A3BAB$114.A5.2A3B3A3BABAB.B16.
8B2A4B50.2A2.10B76.2A5.2A6.4B9.4B5.B4AB.B4AB$115.A3.3A11BA2B2A14.15B
48.2B2AB.2B3A6B73.2B2AB3.B2A2B5.4B7.A3B6.2BA3B.3BA2B$116.A.ABAB2A5B2A
B2A2B2A13.A14B49.4B2.12B72.4B5.4B6.4B5.B2AB7.6B.6B$117.2A.A4BABA3BA5B
13.A14B50.6B.A3BA3.4B71.6B.6B7.4B3.BABA8.6B.6B$122.2A5B3A7B10.B3A11B
51.7BA3BAB3.4B70.6B.6B8.4B.4B9.6B.6B$125.9B3.2A9.15B54.4B.BABAB5.4B
71.4B.4B11.7B10.6B.6B$124.10B3.A9.15B54.7B3A2B5.4B69.5B.5B11.5B11.6B.
6B$124.4B.5B4.3A5.15B55.12B6.4B68.5B.5B11.3B2A11.6B.6B$120.2A3.BA3.3B
7.A4.15B55.13B7.4B66.6B.6B9.4BABA11.5B.5B$120.A2.A.A.A16.15B57.5B.5B
9.4B66.5B.5B9.4B.A3B9.6B.6B$92.B29.2A.2A.A14.6BABA6B57.6B.6B9.4B64.6B
.6B7.4B3.4B9.5B.5B$91.2B35.A13.7B2A6B58.6B.6B10.4B63.6B.6B6.4B5.4B8.
5B.5B$90.3B35.2A11.9BA5B59.2BA3B.3BA2B11.4B62.6B.6B5.4B7.4B8.4B.4B$
89.4B47.15B60.AB2A2B.2B2ABA12.4B61.6B.6B4.2A2B9.4B5.6B.6B$88.5B46.A
14B61.A3B2A.2A3BA13.4B60.6B.6B3.2B2A11.4B4.6B.6B$87.6B45.BABA2BA8B62.
BA3BA.A3BAB14.4B59.6B.6B2.2BAB13.4B3.4B5.4B$86.7B44.2B2A3BABA5B63.2B
3AB.B3A2B15.4B58.2BA3B.3BA2B.4B15.4B2.2B2AB3.B2A2B$85.8B43.8B2A5B64.
6B.6B16.4B57.B4AB.B4A5B17.4B3.2A5.2A$84.9B42.15B65.6B.6B17.4B56.BA3BA
.A3BA4B19.4B$83.10B41.15B67.5B.5B19.4B56.BA2BA.A2BA4B21.B3A$82.11B40.
15B67.6B.6B19.4B54.2B3AB.B3A3B23.A3B8.A$81.12B39.7BA7B69.5B.5B21.4B
54.5B.6B18.2A5.A3B5.5A$80.13B38.6B2A7B70.5B.5B22.4B53.5B.5B20.A5.4B4.
A5.A$79.14B37.8B2A5B72.4B.4B24.4B53.4B.5B20.A.AB.7B2.B3A2.A$78.15B36.
15B71.6B.6B23.4B51.9B.3B19.2AB.7B3.2B.A.2A$77.15B36.A14B31.B40.6B.6B
24.4B51.12B21.12B4A2.A$76.15B36.A14B31.2B40.4B5.4B25.4B52.5B.5B20.7B
2A3BAB2.2A$75.15B36.B3A11B31.3B40.2B2AB3.B2A2B26.4B51.5B.5B20.7B2A2B.
B3A$74.15B36.15B31.4B42.2A5.2A29.4B49.3BA2B.2BA3B19.10B3.B.A$73.15B
36.15B31.5B81.4B49.B3AB.B3AB19.8B8.A.2A$72.A14B36.15B31.6B57.B24.4B
47.BA2B2A.2A2BAB17.9B7.2A.2A$71.A5BA8B36.15B31.7B56.2B25.4B46.B3A2B.
2B3AB16.4B2.3B$70.B3A2BA8B36.15B31.8B55.3B26.4B45.6B.6B15.4B3.5B$69.
7B3A5B36.6BABA6B31.9B54.4B27.4B44.6B.6B14.4B7.2A$68.15B36.7B2A6B31.
10B53.5B28.4B43.6B.6B13.4B8.A$67.15B36.9BA5B31.11B52.6B29.4B42.6B.6B
12.4B10.3A$66.15B36.15B31.12B51.7B30.4B41.6B.6B11.4B13.A$65.15B36.2B
2A11B31.13B50.8B31.4B40.6B.6B10.4B$64.6BABA6B36.3B2A10B31.14B49.9B32.
4B39.6B.6B9.4B$63.7B2A6B36.15B31.15B48.10B33.4B39.5B.5B9.4B$62.9BA5B
36.15B31.15B48.11B34.4B37.6B.6B7.4B$61.15B36.15B31.15B48.12B35.BABA
37.5B.5B7.3AB$60.15B36.15B31.15B48.13B36.B2AB36.5B.5B6.3BA$59.15B36.
15B31.A14B48.BA12B37.A3B36.4B.4B6.3BA$58.15B36.15B31.BABA2BA8B48.2A
13B38.4B36.3B.3B6.4B$57.A14B36.15B31.2B2A3BABA5B48.2B2A11B40.4B36.2A.
2A6.4B$56.A5BA8B36.15B31.8B2A5B48.15B42.4B36.A.A6.4B$55.B3A2BA8B36.
15B31.15B48.15B44.4B35.A.A5.4B$54.7B3A5B36.15B31.15B48.15B46.4B35.A5.
4B$53.15B36.15B31.15B48.15B48.4B39.4B$52.15B36.15B31.7BA7B48.6BA8B50.
4B37.4B$51.15B36.15B31.6B2A7B48.6BA8B52.4B35.4B$50.15B36.15B31.8B2A5B
48.7B3A5B54.2BAB33.2A2B$49.6BABA6B36.15B31.15B48.15B56.2B2A31.ABAB$
48.7B2A6B36.15B31.A14B48.15B58.2A2B29.3BA$47.9BA5B36.15B31.A5BA8B48.A
BA12B60.4B27.4B$46.15B36.15B31.B3A2BA8B11.2A35.B2A3BABA6B62.4B25.4B$
45.15B36.15B31.7B3A5B13.A34.3BA3B2A6B64.4B23.4B$44.15B36.15B31.15B14.
A.2A.2A27.9BA5B66.4B21.4B$43.15B36.15B31.15B16.A.A.A.A25.15B68.4B19.
4B$42.A14B36.15B31.15B4.A7.3B3.AB3.A24.15B70.4B17.4B$41.A14B36.15B31.
15B5.3A4.5B.4B2.2A22.15B72.4B15.4B$40.B3A11B36.15B31.6BABA6B9.A3.6B2A
2B6.2A17.6BA8B74.4B13.4B$39.15B36.15B31.7B2A6B9.2A3.6B2AB7.A17.7BABA
5B76.4B11.4B$38.15B36.15B31.9BA5B10.13BA2B2.BA.A16.8B2A5B78.BABA9.4B$
37.15B36.15B31.15B13.9B2A4B.B2A16.15B80.B2AB7.4B$36.15B36.15B31.A3B2.
9B13.2A8B2A6B17.BA13B82.A3B5.4B$35.15B36.15B31.BABAB.A8B14.2A16B16.2A
13B84.4B3.4B$34.6BABA6B36.15B31.2B2A3BABA5B16.B.15B15.2B2A11B86.4B2.
4B$33.7B2A6B36.15B31.8B2A.4B19.14B15.15B88.9B.B.3B.9B.B3.4B$32.9BA5B
36.15B31.15B22.10B16.15B90.15B2A11B.4B$31.15B36.15B31.15B17.A6.8B16.
15B92.13BABA15B2A$30.15B36.15B31.15B18.3A5.3BA2B16.15B94.12BA17B2A$
29.15B36.15B31.7BA7B22.A5.B3A2B14.6BA8B96.11B3A14B.B$28.15B36.15B31.
6B2A7B22.2A5.ABABA14.6BA8B99.26B$27.A14B36.15B31.8B2A5B20.A2.5B2.ABAB
A13.7B3A5B100.3B.B.3B$26.A5BA8B36.15B31.15B19.3A4.4B2.3A13.15B104.23B
$25.B3A2BA8B36.15B31.A14B19.A6.5B2.BAB12.15B103.B.6B3A14B.B$24.7B3A5B
36.15B31.A14B20.2A4.7B.3B11.ABA12B103.2A7BA17B2A$23.15B36.15B31.B3A
11B24.2B.11B10.B2A3BABA6B104.2A7BABA15B2A$22.15B36.15B31.15B22.2A10BA
B2ABAB7.3BA3B2A6B106.4B.4B2A11B.4B$21.15B36.15B12.2A17.15B23.A.A5B2A
2BABA2BAB6.9BA5B107.4B3.B.9B.B3.4B$20.15B36.15B14.A16.15B25.A.5B2ABA
3BA3B5.15B$19.6BABA6B36.15B14.A16.15B23.3A3.5BAB5A4B3.15B$18.7B2A6B
37.14B15.2A15.14B24.A4.A2B5ABABA4B4.14B$17.9BA5B38.13B17.2B14.4BABA6B
29.A3BA6B2A5B3.4BA8B$17.14B38.13B10.2A5.2BA2B11.5B2A6B30.4BA3BA8B3.5B
ABA5B$17.2C11B38.2D11B12.A5.B3A2B9.2C5BA5B31.3A2BA3BAB.6B.2C4B2A5B$
17.2C10B39.2D10B12.A5.B2A2BA10.2C10B33.6B2AB.6B2.2C10B$7.2B7.12B39.
12B13.2A4.BAB3AB8.12B37.6B2.18B$5.6B6.10B9.4B3.B.9B.3B.B.3B4.10B17.2B
.B2ABAB2A.B6.10B38.4B3.6B2.10B$3.2B6A2B3.10B10.11BA3BA5BAB2A3B3.10B
15.2A9BA2BA3B3.10B39.2B2AB3.16B$.3BA6BA13B10.2A9BA5BA4BABABA4B.9B16.A
.A7B6A4B.9B38.2AB.2A3.6B.9B$3BA8BA3B2.6B11.2A9BA9BA4BA5B2.6B18.A.8BA
2BA6B2.6B38.A.AB7.6B2.6B$.3BA6BA3B6.2B13.B.8B2A3BA5BABABA4B6.2B16.3A
3.3B2ABAB2A6B6.2B39.A9.6B6.2B$3.2B6A2B25.10B3A6BAB2A3B26.A4.4BAB3A6B
48.2A10.6B$5.6B30.3B11.3B.B.3B30.5B2A2BA3B63.5B$7.2B29.10B3A10B33.6B
3A3B65.4B$36.B.8B2A3BA9B.B31.7BA3B64.5B$35.2A9BA15B2A31.9B65.2A$35.2A
9BA5BA9B2A34.6B66.A$36.4B.6BA3BA6B.4B35.4B65.3A$36.4B3.B.9B.B3.4B35.
2B2AB64.A$96.2AB.2A$95.A.AB$95.A$94.2A!

The gun has K=18. For a 19 proceed as before, but halve the numbers (and delete
the old gliders from the loop).

An example of a control program; every incoming glider will toggle the beam (it
has a different switch for variety's sake. The p92 memory loop was copied out of
another file for simplicity. For a p46 memory loop, see "golly-ticker.rle"):

Code: Select all

x = 314, y = 251, rule = LifeHistory
273.2A11.A6.2A$272.B2AB9.A.A4.A2.A$273.3B9.A.A3.A.3A7.2A$272.B.B9.2A.
2A.A.A9.A2BA$272.5B8.B2.A.A3.2A7.2BA$272.6B6.2ABA2.4A.A6.A.B$272.8B4.
2A.A.A3.A8.A3BA$273.13B2.A.AB2.A7.5B$271.13B5.A.A2B.A7.5B$270.15B5.A
2B.2A6.BA4B$270.15B4.3B10.BA3BAB$269.17B.B.2B11.2AB2A2B$269.29B3.B2A
2BAB$268.13B2A16B2.B6A$267.14B2A16B2.B2A2BAB$266.2AB3.27B.2ABABA2B$
265.A2.A4.32BA2B2.B$264.A.2A5.6B3.B2.2B2.11B2AB2A3B.B2A$264.A7.6B14.
10BA7B2A$263.2A6.9B14.14B.2B$270.4B4.2A15.10BABA$269.4B5.A15.12BAB.2B
$268.4B7.3A12.9B3A4B2A$267.4B10.A10.2AB.5B2A3BA3B2A$266.4B21.A.AB2.4B
A4BAB.2B$265.4B22.A4.6BA3BAB$264.4B22.2A3.4B.2BAB2A2B$263.4B27.4B3.8B
$262.4B27.4B6.2A5B$261.4B27.4B10.4B2.2A$260.4B27.4B10.2B2A.A2.A$259.
4B27.4B10.A.A.A.2A$258.4B27.4B10.A.2A.A.A$257.4B27.4B11.A3.A2.A$256.
4B27.4B11.2A3.A.A$255.4B27.4B18.A$254.4B27.4B$253.4B27.4B$252.4B27.BA
2B$251.4B27.2A2B$250.4B27.2B2A$249.4B27.4B$248.4B27.4B$247.4B27.4B$
246.4B27.4B$245.4B27.4B$244.4B27.4B$243.4B27.4B$242.4B27.4B$241.4B27.
4B$240.4B27.4B$239.4B27.4B$238.4B27.4B$237.4B27.4B$236.4B27.4B$235.4B
27.4B$234.4B27.4B$233.4B27.4B$232.4B27.4B$231.4B27.4B$230.4B27.4B$
229.4B27.4B$228.4B27.4B$227.4B27.4B$226.4B27.4B$225.4B27.4B$224.4B27.
4B$223.4B27.4B$222.4B27.4B$221.2A2B27.4B$220.2B2A27.4B$219.2BAB27.4B$
218.4B27.4B$217.4B27.4B$216.4B27.4B$215.4B27.4B$214.4B27.4B$213.4B27.
4B$212.4B27.4B$211.4B27.4B$210.4B27.4B$209.4B27.4B$208.4B27.4B$207.4B
27.4B$206.4B27.4B$205.4B27.4B$204.4B27.4B$203.4B27.4B$202.4B27.4B$
201.4B27.4B$200.4B27.4B$199.4B27.4B$198.2A2B27.4B$197.2B2A27.4B$196.
2BAB27.4B$195.4B27.4B$194.4B27.4B$125.2A5.2A59.4B27.4B$124.B2AB3.B2AB
57.4B27.4B$121.AB.3B5.3B.BA53.4B27.4B$40.2A5.2A71.A.A5B3.5BA.A51.4B
27.4B$39.B2AB3.B2AB70.2A.6B.6B.2A50.4B27.4B$36.AB.3B5.3B.BA30.2A39.5B
.5B53.4B27.4B$35.A.A5B3.5BA.A29.A40.5B.5B52.4B27.4B$35.2A.6B.6B.2A23.
2A.2A.A22.2A5.2A8.6B.6B50.4B27.4B$39.5B.5B25.A2.A.A.A21.2B2AB3.B2A2B
6.6B.6B49.4B27.4B$39.5B.5B25.2A3.BA3.3B7.A8.4B5.4B6.6B.6B48.4B27.4B$
38.3BA2B.2BA3B28.4B.5B4.3A8.6B.6B6.6B.6B47.4B27.4B$38.2B3AB.B3A2B28.
10B3.A11.2B3AB.B3A2B6.6B.6B46.4B27.4B$38.2BAB2A.2ABA2B29.9B3.BA12.A2B
A.A2BA8.6B.6B45.4B27.4B$38.4B2A.2A4B26.6B7A3BA11.3B2A.2A3B7.B3A2B.2B
3AB44.4B27.4B$38.4B2A.2A4B21.2A.12BA4B13.5B.5B7.2AB2AB.B2AB2A43.4B27.
4B$38.4B2A.2A4B20.A.A8B2ABABA4BA11.A5B.5BA6.2ABABA.ABAB2A42.4B27.4B$
38.6B.6B19.A3.7BABABABA3B2A12.A4B.4BA8.A3BA.A3BA42.4B27.4B$38.6B.6B
18.A5.5B2ABA6B.B12.3BABA.ABA3B6.BA2BAB.BA2BAB40.4B27.4B$38.6B.6B18.2A
4.5B2ABA2BAB2A14.3BABA.ABA3B7.B3AB.B3AB40.2A2B27.4B$39.5B.5B20.2B4.B.
4B4A2B16.4B2A.2A4B7.5B.5B39.2B2A27.4B$38.6B.6B12.2A4.5B5.8B8.A8.BA2BA
B.BA2BAB8.12B36.2BAB27.4B$39.5B.5B14.A4.6B5.3A3B7.3A8.2B2A2B.2B2A2B8.
3B.9B34.4B27.4B$39.5B.5B12.A5.6B5.B3A2B7.A11.6B.6B10.5B.4B34.4B27.4B$
37.12B13.2A4.7B4.2BA3B7.2A10.6B.6B10.2BA2B.2BA2B32.4B27.4B$36.9B.3B
16.2B.2B3A4B2.6B4.5B3.2A5.6B.6B9.2B3AB.B3AB31.4B27.4B$37.4B.5B15.2A6B
A2BA10B4.4B5.A6.6B.6B8.2BA2B2A.2A2BAB29.4B27.4B$36.5B.4BA15.A.A9BA9B
4.5B6.A5.5B.5B8.3BA3BA.A3BA29.4B27.4B$36.5B.5BA15.A.5BA2BA11B2.7B4.2A
4.13B6.6BABA.ABA3B27.4B27.4B$35.6B.3B3AB11.3A3.4B3A5B.6B.8B.2B8.12B5.
10B.6B26.4B27.4B$36.5B.8B10.A4.12B3.11B2A5B2A5.12B4.4B.2AB2AB.B2AB2A
25.4B27.4B$35.6B.9B13.13B3.10B2A5BA.A6.4B.5B4.4B2.2BA3B.3BA2B24.4B27.
4B$35.6B.10B12.12B4.11B2A4B.A5.13B2.A3B3.6B.6B23.4B27.4B$35.6B.6B.4B
11.11B5.16B3.3A2.6B.5B2.BABA4.6B.6B22.4B27.4B$35.4B2A.2A4B2.4B11.9B6.
17B4.A2.4B2.9B2A5.6B.6B21.4B27.BA2B$35.3BA2B.2BA3B3.4B13.6B6.18B6.2B
2AB.10B6.6B.6B20.4B27.2A2B$35.6B.6B4.4B12.4B8.B2A2B.12B8.2A2.9B7.3BA
2B.6B19.4B27.2B2A$35.2BA3B.3BA2B5.4B11.2B2AB7.3A2B2.11B14.6B9.B3AB.5B
19.4B27.4B$35.2BA2BA.A2BA2B6.4B8.2AB.2A8.2ABAB3.9B15.2BA2B9.BA3BA7B
17.4B27.4B$35.2B3AB.B3A2B7.3BA6.A.AB11.B3AB3.6B18.2A3B9.A5BA5B17.4B
27.4B$36.5B.5B9.ABAB5.A14.2BA2B5.4B17.2B2A3B8.A5BA5B16.4B27.4B$36.5B.
5B10.2A2B3.2A14.5B4.B2A2B16.8B9.A3BA.4B16.4B27.4B$32.2A.6B.6B.2A7.4B
18.5B5.2A.B2A13.4B2A5B2.2A2.13B13.2A2B27.4B$32.A.A5B3.5BA.A8.4B17.5B
8.BA.A11.A3B.7B.B2A2B.A3BA.6B12.2B2A27.4B$33.AB.3B5.3B.BA10.4B16.5B
11.A10.A3B2.7B2.4BA5BA2.4B11.2BAB27.4B$36.B2AB3.B2AB14.4B15.5B11.2A8.
B3A4.5B.6BA5BA.B2A2B10.4B27.4B$37.2A5.2A16.4B14.5B20.4B4.14BA3BAB2.2A
11.4B27.4B$63.4B13.5B19.4B6.5B.4B4.3A16.4B27.4B$47.2A15.4B12.5B18.4B
6.12B3.BAB15.4B27.4B$47.A17.4B11.5B17.4B7.12B4.B15.4B27.4B$41.2A.2A.A
18.3BA10.5B16.ABAB8.13B18.4B27.4B$39.A2.A.A.A20.3BA9.5B15.B2AB10.5B.
5B18.4B27.4B$39.2A3.BA3.3B7.A8.3AB8.5B14.3BA10.6B.6B16.4B27.4B$43.4B.
5B4.3A9.4B7.5B13.4B11.6B.6B15.4B27.4B$24.2A9.2A6.10B3.A13.4B6.5B12.4B
12.6B.6B14.4B27.4B$25.A10.A7.9B3.2A13.4B5.5B11.A3B13.6B.6B13.4B27.4B$
25.A.2A7.A.AB2.16B14.4B4.5B10.BABA14.2B2A2B.2B2A2B12.4B27.4B$26.A2B.
2A5.2AB.3BABA9B17.4B3.2BA2B9.2B2A15.BA2BAB.BA2BAB11.4B27.4B$28.3BAB6.
5B3A8B2A17.4B.2BABAB8.4B16.2BA2BA.A2BA2B10.4B27.4B$28.4B7.6BA9B2A18.
5B2A2BAB6.4B17.5BA.A5B9.4B27.4B$28.A4BA5.15B.B20.2B2A3BAB6.4B18.3B3A.
3A3B8.4B27.4B$25.3BA4BA6.14B21.2BA4B8.BA2B20.3A2B.2B3A8.4B27.4B$24.4B
4A3B7.10B22.3BA4B7.2A2B20.B2A3B.3B2AB6.4B27.4B$24.4BA4BA2B7.8B23.3B2A
B2A6.2B2A22.2A3B.3B2A6.4B27.4B$24.4BAB2A2BA2B7.6B25.4BA2B5.4B23.BAB2A
.2ABAB5.4B27.4B$20.A4.3BA5BA5B2.32B2A5B5.4B25.AB2A.2ABA5.2A2B27.4B$
20.3A3.2BAB5A17B2A19B4A4B4.A3B27.3B.3B5.2B2A27.4B$23.A.5BA3BAB2A12B2A
B2A18B2AB2A2B4.A3B29.2A.2A5.2BAB27.4B$22.A.A6B3A2B3A11B4A21B2A3B3.B3A
31.A.A5.4B27.4B$22.2A8B2A2B2A13B2A27B2.4B32.A.A4.4B27.4B$25.2B.8B.7B
31.4B2.4B20.A13.A4.4B27.4B$22.2A4.7B5.3B31.4B2.4B20.A.A3.2A11.4B27.4B
$22.A5.6B6.4B29.4B2.4B20.A2.A3.A11.4B27.4B$24.A4.6B4.7B26.4B2.ABAB21.
A.A.2A.A10.4B27.4B$23.2A4.5B5.8B24.4B2.B2AB21.2A.A.A.A10.4B27.4B$30.
2B4.B.3BA6B22.4B2.3BA20.A2.A.2A2B10.4B27.4B$29.2A4.5BABA7B19.4B2.4B
21.2A2.4B10.4B27.4B$29.A5.4BA3BA6B.B16.A3B2.4B26.7B6.4B27.4B$30.A3.5B
A3BA7B2A14.BABA2.A3B28.8B3.4B27.4B$31.A.A5B2AB2A7B2A13.2B2A2.BABA30.
8B.4B3.2A22.4B$32.2A.17B13.4B2.2B2A31.12B4.A22.4B$37.17B10.4B2.4B29.
2B.11B2.BA.A21.4B$40.9B3.2A9.4B2.4B29.2A14B.B2A10.A10.4B$39.10B3.A9.
4B2.4B30.2A16B12.3A7.4B$39.4B.5B4.3A5.4B2.BA2B32.2B.14B15.A5.4B$35.2A
3.BA3.3B7.A4.4B2.2A2B36.13B15.2A4.4B$35.A2.A.A.A16.4B2.2B2A34.2B.14B
14.9B6.2A$37.2A.2A.A14.4B2.4B34.2A18B14.6B7.A$43.A13.A3B2.4B35.2AB.
19B2.2B2.B3.6B5.2A.A$43.2A11.A3B2.A3B37.B2.35B4.A2.A$55.B3A2.A3B41.8B
.27B3.B2A$54.4B2.B3A42.7B2.32B$53.4B2.4B43.7B2.15B3A13B$52.4B2.4B44.
7B3.17B2A10B$51.4B2.4B42.AB.6B11.2B.B.2BA2B3A9B$50.4B2.4B42.A.A7B10.
3B4.6BA8B$49.4B2.ABAB44.A8B6.2A.2BA5.15B$48.4B2.B2AB46.B.6B6.A.2BA.A
5.13B$47.4B2.3BA50.5B7.A2.BA.A2.13B$46.4B2.4B50.6B8.A3.A.A.2A4.8B$45.
A3B2.4B50.5B.B2A4.A.4A2.AB2A6.6B$44.BABA2.A3B50.4B3.BA.A3.2A3.A.A2.B
8.5B$43.2B2A2.BABA50.4B7.A6.A.A.2A.2A9.B.B$42.4B2.2B2A50.4B8.2A2.3A.A
3.A.A9.3B$41.4B2.4B50.4B13.A2.A4.A.A9.B2AB$40.4B2.4B50.4B15.2A6.A11.
2A$39.4B2.4B50.4B10.2A$38.4B2.BA2B50.4B12.A$37.4B2.2A2B50.4B13.A.2A.
2A$36.4B2.2B2A50.4B15.A.A.A2.A$35.4B2.4B50.4B3.A7.3B3.AB3.2A$34.A3B2.
4B50.4B4.3A4.5B.4B$33.A3B2.A3B50.4B8.A3.10B$32.B3A2.A3B50.4B8.2A3.9B$
31.4B2.B3A50.4B9.17B$30.4B2.4B50.4B12.7B2A3B2A3B.2A$29.4B2.4B50.4B12.
2A5BABA3BABA3BA.A$28.4B2.4B50.4B13.2A4B2A7B2A2B3.A$27.4B2.4B50.ABAB
15.B.4B2A5B2A2B5.A$26.4B2.ABAB50.B2AB18.5BA5BA3B4.2A$25.4B2.B2AB50.3B
A21.4B5AB.B4.2B$24.4B2.3BA50.4B23.4B3AB5.5B4.2A$23.4B2.4B50.4B25.4BA
2B4.6B4.A$22.A3B2.4B50.4B28.4B6.6B5.A$21.BABA2.A3B50.4B30.3B5.7B4.2A$
20.2B2A2.BABA50.7B27.7B.8B.2B$19.4B2.2B2A54BA18BA2BA12BAB2ABA3BA6B2A$
18.14B4A45BABA17BA16BA3B2A3BA5BA.A$17.10B.4BA3BA44BABA17BA3BA12BA7BA
6B.A$16.10B2.4BA68B4A16B2AB2A3BA2B3.3A$15.7BA2B4.4BA2BA79B2.3BA3B2A2B
ABAB4.A$14.6B2A2B53.6B25.6B7.B3A2BABA2BAB$13.8B2AB52.2BA3B25.8B7.B2A
3BA3B2A$12.12B24.4B3.B.9B.B9.B2A2B24.10B7.2BABA3BA2B$11.A12B24.4B.17B
6.BABA24.8BA5B6.B2A6B$10.A13B23.6A5B4A10B3.4B23.B.7B3A5B5.6B$9.B3A11B
23.4A7B2ABA10B2.12B.B3.4B6.2A7BA3BA4B7.4B$8.15B25.B.2ABA7BA20B2A6B.4A
6.2A7B2AB2A4B6.B2A2B$7.15B28.2B2A5B2A10B.9BA2BA6BA3BA6.15B.B2A5.2A.B
2A$6.15B49.10B2A2BA10BA4.16B2.BA.A7.BA.A$5.15B30.2B2A5B2A20BA2BA4BAB
2A.A5.2A3.9B7.A10.A$4.15B29.B.2ABA7BA20BA6B3AB8.A3.10B6.2A9.2A$3.6BAB
A6B29.4A7B2ABA10B26.3A4.5B.4B$2.7B2A6B30.6A5B4A20BA6B3AB5.A7.3B3.AB3.
2A$2.8BA5B32.4B.28BA2BA4BAB2A.A16.A.A.A2.A$2.2A11B33.4B3.B.9B.B2.10B
2A2BA10BA14.A.2A.2A$.B2A10B56.11BA2BA6BA3BA14.A$13B58.B.9B2A6B.4A14.
2A$12B63.B.9B.B3.4B$11B$.9B$.8B$2.6B$3.4B$4.2B!

[Moosey]

Here's a provably infinite-growth tractor beam, a slight modification of yours:

Code: Select all

x = 320, y = 256, rule = B3/S23
240b2o$240bo2bo$186b2o$186b2o56bo2$242b2o$241bo$201b2o25bo$201b2o24bo
2bo$230bo7b2o3b2o$225bo5bo6b2o3b2o$225b3o3b2o6b5o$184b2obob2o32b2obo4b
obo6bobo$224b2ob4ob3o$168b2o14bo5bo30bo2bobo4bo3b2o3b3o$168b2o50bo5bob
2obo$185b2ob2o22b3o11bob2obo5bo$187bo11b2obob2o4b6o5b2o3bo4bobo2bo$
209bob3obo7b3ob4ob2o$166b2o31bo5bo3b2obo3bo7bobo4bob2o$208b4ob4o8b2o3b
3o$200b2ob2o3b3obo4b2o7bo5bo$202bo5b2o2bob2obob2o6bo$184bo24b2obob2obo
2b2o5bo2bo12bo$165b2o3b2o10b2o4b3o20b2o4bob3o7bo12b3o$166b5o12b2o2bo3b
o21b4ob4o19b5o$166b2ob2o42bo3bob2o19b2o3b2o$166b2ob2o15bo5bo21bob3obo$
167b3o16b2o3b2o21b6o10bo$199b3o13b3o12bobo$198bo3bo27b2o10b3o$175bobo
11bo52b3o$175b2o11bobo6bo5bo$176bo11bo8b2o3b2o$192bo49b2o$172bo7bo12bo
48b2o$166bo3bobo6b2o8bo4bo5bo11bobo$165b3o3b2o6bobo10bo6bobo11b2o$164b
5o20bo5bo3bobo11bo$163bobobobo19bo5bo5bo31b2o$163b2o3b2o20bo3bo6bo31b
2o$191b3o4bo2bo$199b2o25b2o$166bo20b2o26bo10bobo$165bobo6bobo9b2o27bob
o5b2obobo$165bobo5bo14bo26b2o6bobobo$166bo6bo8b2o41bo$166b2o5bo2bo5bob
o38bo2bo$155b2o9b2o5b3o3b2obobo41bo$154bo3bo7b2o11bobobo38bo3bo$138b2o
13bo5bo21bo44bo4b2o3b2o$138b2o13bo3bob2o2b2o15b2o8bo32bo2bo$129b2o3bo
6b2o10bo5bo3b2o14b3o7b3o14bobo16bo6bo3bo$129bobo3bo5b3o10bo3bo20b3o7b
3o14b2o10bo4bobobo5b3o$130b5o6b2o12b2o22b3o25bo9b3o3b2obobo4b3o$131b3o
4b2o40b2o5b2o3b2o16b2o4b2obo6bobo$138b2o41bo5b2o3b2o16b2o4b3o7b2o$179b
obobo33b2o$144b3o32b2obobo15bo$143b4o35bobo15bobo$142bo4b2o33b2o16b2o
6b2o20bo5bo$142bobob2o81bo5b3o$142bo7bo6bo29b2o40b3o3b3o$139b3ob4o2b2o
7b2o28bo$138bo3bo4bobob2o4b2o26b3o45b2o3b2o$137b2obobob2obo3b2o32bo21b
2o3b2o19b2o3b2o$137b2o3bob2obobob2o55b5o3b2o$137b2obobo4bo3bo39bobo14b
2ob2o4b2o$139b2o2b4ob3o40b2o15b2ob2o3bo5bo13bo$139bo7bo44bo16b3o10bobo
10bobo$142b2obobo70b2o2b2o10b2o$125bobo13b2o4bo70bobo13b2o$123bo3bo15b
4o27bo43bo15b3o$115bo7bo19b3o26b2obo9bo49bobo$114b4o4bo4bo8b2o33b3ob2o
8bobo23b3o22b2o$113b2obobo4bo12b2o32b3o12b2o24b3o$102b2o8b3obo2bo3bo3b
o41bo40bo3bo$102b2o9b2obobo6bobo40b2o39bo5bo$114b4o51b4o37bo3bo10b3o$
115bo54b3o38b3o11bo$126bo8bo2bo26bo2bo57bo9bo$121bo2bobo12bo29bo65bobo
$121b2o2b2o8bo3bo25bo3bo6bobo44bobo8bob2o10b2o$120bobo13b4o26b4o6b2o
45bo2bo6b2ob2o10b2o$177bo48b2o6bob2o$122b2o100bo3b2o5bobo$122b2o102b2o
8bo$122bobo13b2o7b2o60b2o5b2o5bo2bo$138bo9bo21bo39bo4bobo5bobo$113b2o
24b9o22bobo34b3o5bo39b2o$114b2o20b3o2b5o2b3o19b2o35bo6b2o39bo55b2o$
113bo22bo2bo2b3o2bo2bo46bo23b2o23bo6bobo5bo49b2o$102b2o33b2o9b2o46bobo
23bo20b4o6b2o5bobo$101bo3bo24b2o20b2o40b2o3bo14b2o6bobo9bo7b4o12b2o3bo
14b2o$90b2o8bo5bo7bo14b2o21bo36b2o3b2o3bo13bobo7b2o8bobo6bo2bo12b2o3bo
13bobo$90b2o8bo3bob2o4bobo16bo9bo8bobo36b2o3b2o3bo12b3o17bo3b2o4b4o12b
2o3bo12b3o4b2ob3o$100bo5bo3b2o27bobo8b2o4bobo37bobo12b3o18bo3b2o5b4o8b
2o3bobo12b3o4bo2b4o23bo$101bo3bo4b2o15b2o9bobo15b2o3bobo33bo6bo7b3o17b
o3b2o8bo7bobo4bo6bo7b3o4b2o25b2ob2o$102b2o6b2o15b3o7bo2bo16bo3b2o39b2o
9bobo5b2o10bobo18bo11b2o9bobo$112bobo14b2obo5bobo21bo40b2o9b2o5bobo10b
o18b2o12b2o9b2o29bo5bo$114bo14bo2bo6bobo81bo19bobo45b2o$129b2obo8bo81b
2o19b2o45bobo15b2obob2o$127b3o79b3o32bo33bobo13bo7b2o$127b2o26bo52b6o
63bo2bo2b2o6bo2bo7b2o$155bobo50bob3obo61b2o5bobo8bo19bo$155b2o50bo3bob
2o44bobo6b2o4b2o3bo3bo3bo3bobo17bo2bo$207b4ob4o43b2o7b2o6b2o5b3ob2o2b
2o21bo$205b2o4bob3o35bo8bo16bo2bo3b2o24b2o$203b2obob2obo2b2o36b2o24bob
o29bo$202b2o2bob2obob2o36b2o57bobo$202b3obo4b2o98b2o$141bobo58b4ob4o
63b2o9b2o7bo$141b2o3bobo40bo13b2obo3bo42bo19bo2bo7bo2bo4bobo$142bo3b2o
39b2o14bob3obo41b2o20b3o2b5o2b3o5b2o16b2o3b2o$147bo40b2o14b6o42b2o22b
2o5b2o26bo5bo$206b3o66bo9bo18bo$275b2obo3bob2o18bobo5bo3bo$280bo23b2o
7b3o$140bo$140bobo150b2o$140b2o75b2o28b2o28b2o13b4o$216b2ob2o25b2ob2o
25b2ob2o10b2ob2o$217b4o26b4o26b4o11b2o22b2o$218b2o28b2o28b2o36bo$301bo
7bo7b3o$215bobo82b4o5bobo7bo$126bobo85bo23b2o55b2o2bo2b2o8b2o$126b2o3b
obo40bo34b2o2bo4bo18bobo5bo49b2o2b2o11b2o$127bo3b2o39b2o35b2obo2bob2o
18bo7b3o10b2o24b2o6b2o10bo7b2o$132bo40b2o38b2o21b2o10bo8bo2bo23b2o5b3o
10bo4bobo4b2o$247b2o8bobobo30b2o10bo4bo6bobo$256b2obobo33b2o21bo$250bo
5bo3bob2o31b2o21b2o$125bo123bobo5b2obo2bo$125bobo117b2o2b2o5bo2bobobob
2o$125b2o118b2o9b2obobobo2bo$257bo6b2o$257bob5o$153bo104bo4bo$153b3o
103b4o$156bo104bo$111bobo41b2o106bo$111b2o3bobo143b2o$112bo3b2o44bo$
117bo45bo$161b3o3$110bo$110bobo44b3o$110b2o44bo3bo$155bo5bo151b2o$155b
o5bo151b2o$158bo$156bo3bo153bo$157b3o153bobo$96bobo59bo154bobo$96b2o3b
obo210bo$97bo3b2o74bo$102bo55b2o18bo$158b2o16b3o132b2obob2o$311bo5bo$
312bo3bo$95bo217b3o$95bobo$95b2o5$316b2o$81bobo232bo$81b2o234b3o$82bo
236bo5$80bo$80bobo$80b2o3$207b2o98bo$205bo3bo96b4o$204bo5bo8b2o84b2obo
bo3b2o$66bobo134b2obo3bo8b2o83b3obo2bo2b2o$66b2o136bo5bo94b2obobo$67bo
132b2o3bo3bo85b2o9b4o$199bobo5b2o85bobo10bo$199bo94bo$198b2o93b2o2$65b
o$65bobo$65b2o6$51bobo$51b2o3bobo$52bo3b2o$57bo4$50bo$50bobo$50b2o6$
36bobo$36b2o$37bo5$35bo$35bobo$35b2o6$21bobo$21b2o3bobo$22bo3b2o$27bo
4$20bo$20bobo$20b2o6$6bobo$6b2o$7bo5$5bo$2o3bobo$2o3b2o!

[nokangaroo]

That's not what I meant. Your PRNG has p15240 according to oscar.lua. If I can test it with that script at all, it has too low randomness to count. The drift that you call "infinite growth" is mentioned in my post and is due to a defect in the PRNG, which becomes more pronounced with low randomness. Try this PRNG (K=29 according to Dean Hickerson's period table):

Code: Select all

x = 180, y = 144, rule = LifeHistory
17$49.2A36.2A$49.A37.A$31.B4.3B2AB4.BA.A19.B4.3B2AB4.2A.A$29.10B2A3B
2.B2A18.9BABA3B2.2BA$29.7B2A9B20.8B3A4BA2B$28.2A5B3A6BA2B19.2A6B3A4BA
2BA$28.2AB.4B2A6BA3B18.2AB.5B3A4B2A2B$29.B4.5B2A8B18.B4.4BABA8B$36.3B
2AB.7B24.3B2AB.7B$42.4B.4B29.4B.4B$41.4B3.4B27.4B3.4B$31.A8.4B5.4B16.
A8.4B5.4B$31.3A5.4B7.4B15.3A5.4B7.4B$34.A3.4B9.4B17.A3.4B9.4B$33.2A2.
4B11.4B15.2A2.4B11.4B$33.7B13.4B14.7B13.4B$30.A4.6B13.4B15.2BA3B13.4B
$16.2A10.3A4.7B13.4B14.2BA4B13.4B$15.A2.A8.A6.9B13.4B12.2BA6B13.4B$
14.A.A.A8.2A5.5B.4B13.4B11.5B.4B13.4B$14.A.A.2A5.4B4.7B.4B13.4B9.7B.
4B13.4B$12.2A.A.B.A2B2.BAB6.2A3B2A2.4B13.4B8.2A3B2A2.4B13.4B$12.A2.A.
2A4B.ABAB5.2A3B2A3.4B13.4B7.A5BA3.4B13.4B$9.2A.A.ABAB.A2B.2B2AB.2A2.B
5AB4.4B13.4B6.7B4.4B13.4B$9.A2.ABABA.2A2.7B2A2.2BABA2B5.4B13.4B5.BA3B
AB5.4B13.4B$10.2A2.3B.A4.7B3.7B6.4B13.4B4.2B3A2B6.4B13.4B$12.5A.A4.7B
4.B3AB8.4B13.4B4.5B8.4B13.4B$12.A4.A5.6B5.5B9.4B13.4B3.5B9.4B13.4B$
13.4A5.8B5.3B11.4B13.4B3.3B11.4B13.4B$14.A6.4B2.4B5.4B10.2BAB13.3BA3.
4B10.4B13.4B$12.A7.4B4.4B6.2A11.2B2A13.B2AB4.2A11.4B13.4B$12.2A5.4B6.
4B5.A13.2A2B13.ABAB3.A13.4B13.4B$18.4B8.4B5.3A11.4B13.4B3.3A11.4B13.
4B$8.A8.4B10.4B6.A12.4B13.4B4.A12.4B13.4B$8.3A5.4B12.4B19.4B13.4B17.
4B13.4B$11.A3.4B14.4B19.4B13.4B17.4B13.4B$10.2A2.4B16.3BA19.4B13.4B
17.2BAB13.4B$10.7B18.B2AB19.4B13.4B17.2B2A13.3BA$12.6B18.ABAB19.4B13.
4B17.2A2B13.B2AB$12.7B18.4B19.4B13.4B17.4B13.ABAB$11.9B18.4B19.4B13.
4B17.4B13.4B$11.5B.4B18.4B19.4B13.4B17.4B13.4B$10.7B.4B18.4B19.4B13.
4B17.4B13.4B$10.7B2.4B18.4B19.4B13.4B17.4B13.4B$10.7B3.4B18.4B19.2BAB
13.3BA17.4B13.4B$10.2A3B2A4.4B18.4B19.2B2A13.B2AB17.4B13.4B$10.7B5.4B
18.4B19.2A2B13.ABAB17.4B13.4B$10.BA3BAB6.4B18.4B19.4B13.4B17.4B13.4B$
11.B3AB8.4B18.4B19.4B13.4B17.4B13.4B$11.B3AB9.4B18.4B19.4B13.4B17.4B
13.4B$11.4B11.4B18.4B19.4B13.4B17.4B13.4B$11.4B12.4B18.3BA19.4B13.4B
17.2BAB13.4B$10.4B14.4B18.B2AB19.4B13.4B17.2B2A13.4B$11.4B14.4B18.ABA
B19.4B13.4B17.2A2B13.4B$11.2B2AB14.4B18.4B19.4B13.4B17.4B13.4B$13.2A
16.4B18.4B19.4B13.4B17.4B13.4B$32.4B18.4B19.4B13.4B17.4B13.4B$33.4B
18.4B19.4B8.A4.4B17.4B13.4B16.2A$34.4B18.4B19.4B5.3A5.4B17.4B8.A4.4B
14.B2A2B$35.4B18.4B19.4B3.A9.4B17.4B5.3A5.4B14.4B$36.BABA18.4B19.4B2.
2A9.4B17.4B3.A9.4B14.4B$37.B2AB18.4B19.7B10.4B17.4B2.2A9.4B12.4B$38.A
3B18.4B17.6B13.4B17.7B10.4B11.4B$39.4B18.4B15.7B14.4B15.3B3A13.4B9.5B
$40.4B18.4B13.9B14.4B13.4B3A14.4B8.5B$41.4B18.4B11.4B.5B15.4B11.9B14.
4B6.7B$42.4B18.4B9.4B.7B15.4B9.4B.5B15.4B5.2B3A2B$43.4B18.4B7.4B2.2A
3B2A16.4B7.4B.7B15.4B4.BA3BAB$44.4B18.4B5.4B3.3BA3B17.4B5.4B2.2A3B2A
16.4B3.A5BA$45.4B5.2A11.4B3.4B4.A5BA18.4B3.4B3.B5AB17.4B2.2ABAB2A$46.
4B5.A12.4B.4B5.B2AB2AB19.4B.4B4.2B3A2B18.4B.7B$47.4B4.A.AB3.4BAB.7B6.
2BABA2B8.B4.2BABAB.7B5.3BA3B19.4B.5B$48.4B4.2AB.6BABA6B8.2BA2B7.9BA3B
A6B6.7B20.6BA2B$13.2A20.3B2AB4.B3.4B5.9BABA4B9.2BA2B7.13BA5B8.5B22.4B
ABA$14.A18.4BABA8B2.4B4.9BA2BA2B11.3B7.2A8BA4BA3B9.6B22.3BABA$14.A.AB
3.2BA3B.B2.5B3A4B2A3B3.BABA4.8BABA3B9.4B8.2AB.10BA4B10.7B2.2A17.3B3AB
$15.2AB.4B4A8B3A4BA2B4A3.B2AB4.6BABAB2.B2A7.2A5.2A4.B4.4BA3BAB2.B2A8.
4B2A.A2.A16.4B2.2A$17.7B4A4B.3B3A4B2A.3A4.A3B5.4BAB4.BA.A7.A5.A12.2BA
BAB4.BA.A12.A.2A.A.2A12.4B3.A$17.7BA2BA9BABA3B4.B6.4B17.A4.3A3.BA.A
25.A10.A.A.A2.A.2A11.4B5.3A$18.6B4A10B2AB14.4B16.2A3.A5.B2A26.2A9.2A
3.2A14.4B8.A$13.A5.4B4A8BA20.4B24.3B59.4B$13.3A5.2BA3B3.6BA20.4B22.4B
58.4B$16.A16.B3A21BA2BA26BA2BA56BA2BA2B$15.2A15.12B4A14BA29BA59BA2B$
15.4B12.12BA3BA10BA3BA17B2A6BA3BA55BA3BA2B$17.3B10.2A2B.12BA11B4A16BA
BA7B4A56B4A2B$16.5B8.2B2A10BA2BA34BA71B.B2A$16.5B7.2BAB.3B15.B11.4B
10.4B57.5B11.BA.A$15.7B5.4B.4B16.B11.4B8.4B35.B22.4B15.A$15.2ABAB2A4.
4B3.2B2A10.2A.5B.2A7.4B6.4B35.4B19.4B16.2A$15.A5BA3.4B5.2A2B9.A2.5B2.
A8.4B4.4B36.B2A3B16.4B$15.BA3BAB2.4B7.BA2B9.9A10.4B2.4B35.B2A2BA3B14.
4B$15.2B3A2B.A3B9.4B5.3A2.5A2.3A8.8B36.B5A2B.B12.4B$15.8B2AB11.4B4.A
2.A.B3AB.A2.A9.2B2A2B35.2B.2B.BAB.3B10.4B$16.6BABA13.4B4.2A4.B4.2A9.
3B2AB36.2AB.4A.4B9.4B$16.8B15.4B20.2A3.7B33.2B2ABA4.4A2B7.4B$17.2B.4B
16.3BA19.A4.8B31.2BABA.A.2A.ABABAB6.4B$17.7B17.B2A4B3.3B2AB3.BA.A3.5B
.B3A31.BABABA.2A.A.ABA2B4.4B$18.6B18.ABA9B2A3B.B2A3.5B3.A3B30.2B4A4.A
B2A2B4.4B$18.5B9.B4.2A12B2A8B4.2A2B6.A3B30.4B.4A.B2A5.3AB$17.3BA2B7.
5BA3BA10B3A8B3.ABAB8.4B29.3B.BAB.2B.2B4.3BA$18.2BA2B7.4BA5BA4B.5B2A7B
3.3BA10.4B29.B.2B5AB5.3BA$17.2BABA2B5.2A2B2ABA3BA13B2A3B3.4B12.4B20.
2A7.3BA2B2AB4.4B$17.B2AB2AB5.2AB.BA5BA6B2.B.3B2AB4.4B14.4B19.A9.3B2AB
5.4B$17.A5BA6.B4.A3BA5B15.4B4.2A10.2B2A3B3.3B2AB3.BA.A11.4B4.4B$17.3B
A3B13.2A4B16.4B6.A11.BABA7BABA3B.B2A14.B4.4B$17.2A3B2A22.2A4B3.7B7.A.
AB3.A5BA8BA8B8.B2A3B2.8B$17.7B20.A3BA5BA2B3AB9.2AB.BABA13BA2BA5B6.3BA
BA11B$18.5B20.A5BA9BA3BA2B6.2BAB2A6B.6BA7B6.7BA14BA$18.BA3B19.A2BA3BA
8BA4BABA2B4.B2AB2A14BABA3B6.5BA2BA13BABAB4.B$18.BA2B20.7BA7B.8B2AB4.B
AB2A8B2.B.3B2AB8.8BA6B.6B2ABA2B.B2A$18.A3B18.A2B.A3BA17B2A2B4.BABA6B
18.2AB.3BABA14B2AB2A3B2A$17.4B18.A.2A3.2A4B.B2.10B2A2B6.A5B19.A.AB3.B
2A3B.B2.8B2ABA5B$18.4B17.A18.5BABA2B.B2A29.A18.6BABA6B$18.2B2AB15.2A
20.3BA2B3.BA.A27.2A20.5BA4.B$20.2A50.A$72.2A!

I haven't tested this one yet. If the oscillation boundaries drift down, it also has infinite growth. If it doesn't behave as expected, delete all gliders out of the loop and try again.

[nokangaroo]

I'd better give some additional information, starting with Dean Hickerson's period table from "DRH-oscillators.rle":

Code: Select all

             K | 2 3  4  5  6   7  8  9  10   11   12   13    14    15
             P | 3 7 15 21 63 127 63 73 889 1533 3255 7905 11811 32767

             K |  16  17     18     19     20   21      22      23
             P | 255 273 253921 413385 761763 5461 4194303 2088705

             K |      24       25     26        27       28        29
             P | 2097151 10961685 298935 125829105 17895697 402653181

             K |       30      31   32   33
             P | 10845877 2097151 1023 1057

The recursion used in the PRNGs I tested is b[n] = b[n-1] XOR b[n-K], where b is 1 or 0 (signal or gap), and K says how far to go back to find the element to calculate the next b with. The period of the recursion depends erratically on K, which is the point (at least with cryptographically secure PRNGs); it makes it hard to predict the next output bit from the ones you already have, if you don't know your present position in the cycle. The associated P values have to be multiplied by the base period, in this case 60. You can't test the period of the above PRNG directly, that would take forever. Its period, according to the table, is 402653181*60=24159190860. But you can confirm the K value by extending the loop by 4 signals, which gives K=33, with an associated period of 1057*60=63420, which will take oscar.{lua,py} a few seconds.

The randomness of these PRNGs depends on K, not on the base period of the technology used. That's why I posted PRNGs with different periods but the same K value. They have the same randomness. So in theory, whether practical or not, this switchable tractor beam is a randomness tester. That's the actual point of my post.

Needless to say, these PRNGs are far from being cryptographically secure. Even this simple test already shows up a defect - the drift, which Moosey so dramatically demonstrated with low-randomness input. As stated in my post, it must be caused by the fact that the numbers of 1s and 0s in the PRNG's output don't average out over time, as they should. What the tractor beam does is add up the output (signal=-1, gap=1, or vice versa if you prefer), which should add up to 0 but doesn't.

The self-seeding pattern (the one with the control track) may or may not be a way of improving those PRNGs (most likely it would have to be a lot more complicated). I'm not a professional mathematician, a comment by one would be welcome.

Here's an adding machine (still with the simple loop for a control program, which will toggle the machine between adding and subtracting. And of course you don't HAVE to use random input, this has nothing to do with PRNGs):

Code: Select all

x = 479, y = 410, rule = LifeHistory
438.2A11.A6.2A$437.B2AB9.A.A4.A2.A$438.3B9.A.A3.A.3A7.2A$437.B.B9.2A.
2A.A.A9.B2AB$437.5B8.B2.A.A3.2A7.3B$437.6B6.2ABA2.4A.A6.B.B$437.8B4.
2A.A.A3.A8.5B$438.13B2.A.AB2.A7.5B$436.13B5.A.A2B.A7.5B$435.15B5.A2B.
2A6.6B$435.15B4.3B10.7B$434.17B.B.2B11.7B$434.29B3.7B$433.13B2A16B2.
7B$432.14B2A16B2.7B$431.2AB3.27B.8B$430.A2.A4.35B2.B$429.A.2A5.6B3.B
2.2B2.19B.B2A$429.A7.6B14.18B2A$428.2A6.9B14.14B.2B$435.4B4.2A15.13B$
434.4B5.A15.7BA6B.2B$433.4B7.3A12.5B2A9B2A$432.4B10.A10.2AB.4B2A8B2A$
431.4B21.A.AB2.11B.2B$430.4B22.A4.12B$429.4B22.2A3.4B.8B$428.4B27.4B
3.8B$427.4B27.4B6.7B$426.4B27.4B10.4B2.2A$425.4B27.4B10.2B2A.A2.A$
424.4B27.4B10.A.A.A.2A$423.4B27.4B10.A.2A.A.A$422.4B27.4B11.A3.A2.A$
421.4B27.4B11.2A3.A.A$420.4B27.4B18.A$419.4B27.4B$418.4B27.4B$417.4B
27.4B$416.4B27.4B$415.4B27.4B$414.4B27.4B$413.4B27.4B$412.4B27.4B$
411.4B27.BA2B$410.4B27.2A2B$409.4B27.2B2A$408.4B27.4B$407.4B27.4B$
406.4B27.4B$405.4B27.4B$404.4B27.4B$403.4B27.4B$402.4B27.4B$401.4B27.
4B$400.4B27.4B$399.4B27.4B$398.4B27.4B$397.4B27.4B$396.4B27.4B$395.4B
27.4B$394.4B27.4B$393.4B27.4B$392.2A2B27.4B$391.2B2A27.4B$390.2BAB27.
4B$389.4B27.4B$388.4B27.4B$387.4B27.4B$386.4B27.4B$385.4B27.4B$384.4B
27.4B$383.4B27.4B$382.4B27.4B$381.4B27.4B$380.4B27.4B$379.4B27.4B$
378.4B27.4B$377.4B27.4B$376.4B27.4B$375.4B27.4B$374.4B27.4B$373.4B27.
4B$372.4B27.4B$371.4B27.4B$370.4B27.4B$369.2A2B27.4B$368.2B2A27.4B$
367.2BAB27.4B$366.4B27.4B$365.4B27.4B$364.4B27.4B$363.4B27.4B$362.4B
27.4B$361.4B27.4B$360.4B27.4B$285.2A5.2A65.4B27.4B$284.B2AB3.B2AB63.
4B27.4B$281.AB.3B5.3B.BA59.4B27.4B$200.2A5.2A71.A.A5B3.5BA.A57.4B27.
4B$199.B2AB3.B2AB70.2A.6B.6B.2A56.4B27.4B$196.AB.3B5.3B.BA30.2A39.5B.
5B59.4B27.4B$195.A.A5B3.5BA.A29.A40.5B.5B58.4B27.4B$195.2A.6B.6B.2A
23.2A.2A.A22.2A5.2A8.6B.6B56.4B27.4B$199.5B.5B25.A2.A.A.A21.2B2AB3.B
2A2B6.6B.6B55.4B27.4B$199.5B.5B25.2A3.BA3.3B7.A8.4B5.4B6.6B.6B54.4B
27.4B$198.3BA2B.2BA3B28.4B.5B4.3A8.6B.6B6.6B.6B53.4B27.4B$198.2B3AB.B
3A2B28.10B3.A11.2B3AB.B3A2B6.6B.6B52.4B27.4B$198.2BAB2A.2ABA2B29.9B3.
BA12.A2BA.A2BA8.6B.6B51.4B27.4B$198.4B2A.2A4B26.6B7A3BA11.3B2A.2A3B7.
B3A2B.2B3AB50.2A2B27.4B$198.4B2A.2A4B21.2A.12BA4B13.5B.5B7.2AB2AB.B2A
B2A49.2B2A27.4B$198.4B2A.2A4B20.A.A8B2ABABA4BA11.A5B.5BA6.2ABABA.ABAB
2A48.2BAB27.4B$198.6B.6B19.A3.7BABABABA3B2A12.A4B.4BA8.A3BA.A3BA48.4B
27.4B$198.6B.6B18.A5.5B2ABA6B.B12.3BABA.ABA3B6.BA2BAB.BA2BAB46.4B27.
4B$198.6B.6B18.2A4.5B2ABA2BAB2A14.3BABA.ABA3B7.B3AB.B3AB46.4B27.4B$
199.5B.5B20.2B4.B.4B4A2B16.4B2A.2A4B7.5B.5B45.4B27.4B$198.6B.6B12.2A
4.5B5.8B8.A8.BA2BAB.BA2BAB8.12B42.4B27.4B$199.5B.5B14.A4.6B5.3A3B7.3A
8.2B2A2B.2B2A2B8.3B.9B40.4B27.4B$199.5B.5B12.A5.6B5.B3A2B7.A11.6B.6B
10.5B.4B40.4B27.4B$197.12B13.2A4.7B4.2BA3B7.2A10.6B.6B10.2BA2B.2BA2B
38.4B27.4B$196.9B.3B16.2B.2B3A4B2.6B4.5B3.2A5.6B.6B9.2B3AB.B3AB37.4B
27.4B$197.4B.5B15.2A6BA2BA10B4.4B5.A6.6B.6B8.2BA2B2A.2A2BAB35.4B27.4B
$196.5B.4BA15.A.A9BA9B4.5B6.A5.5B.5B8.3BA3BA.A3BA35.4B27.4B$196.5B.5B
A15.A.5BA2BA11B2.7B4.2A4.13B6.6BABA.ABA3B33.4B27.4B$195.6B.3B3AB11.3A
3.4B3A5B.6B.8B.2B8.12B5.10B.6B32.4B27.4B$196.5B.8B10.A4.12B3.11B2A5B
2A5.12B4.4B.2AB2AB.B2AB2A31.4B27.4B$195.6B.9B13.13B3.10B2A5BA.A6.4B.
5B4.4B2.2BA3B.3BA2B30.4B27.4B$195.6B.10B12.12B4.11B2A4B.A5.13B2.A3B3.
6B.6B29.4B27.4B$195.6B.6B.4B11.11B5.16B3.3A2.6B.5B2.BABA4.6B.6B28.4B
27.4B$195.4B2A.2A4B2.4B11.9B6.17B4.A2.4B2.9B2A5.6B.6B27.4B27.4B$195.
3BA2B.2BA3B3.4B13.6B6.18B6.2B2AB.10B6.6B.6B26.4B27.4B$195.6B.6B4.4B
12.4B8.B2A2B.12B8.2A2.9B7.3BA2B.6B25.4B27.4B$195.2BA3B.3BA2B5.4B11.2B
2AB7.3A2B2.11B14.6B9.B3AB.5B25.2A2B27.4B$195.2BA2BA.A2BA2B6.4B8.2AB.
2A8.2ABAB3.9B15.2BA2B9.BA3BA7B23.2B2A27.4B$195.2B3AB.B3A2B7.3BA6.A.AB
11.B3AB3.6B18.2A3B9.A5BA5B23.2BAB27.4B$196.5B.5B9.ABAB5.A14.2BA2B5.4B
17.2B2A3B8.A5BA5B22.4B27.4B$196.5B.5B10.2A2B3.2A14.5B4.B2A2B16.8B9.A
3BA.4B22.4B27.BA2B$192.2A.6B.6B.2A7.4B18.5B5.2A.B2A13.4B2A5B2.2A2.13B
19.4B27.2A2B$192.A.A5B3.5BA.A8.4B17.5B8.BA.A11.A3B.7B.B2A2B.A3BA.6B
18.4B27.2B2A$193.AB.3B5.3B.BA10.4B16.5B11.A10.A3B2.7B2.4BA5BA2.4B17.
4B27.4B$196.B2AB3.B2AB14.4B15.5B11.2A8.B3A4.5B.6BA5BA.B2A2B16.4B27.4B
$197.2A5.2A16.4B14.5B20.4B4.14BA3BAB2.2A17.4B27.4B$223.4B13.5B19.4B6.
5B.4B4.3A22.4B27.4B$207.2A15.4B12.5B18.4B6.12B3.BAB21.4B27.4B$207.A
17.4B11.5B17.4B7.12B4.B21.4B27.4B$201.2A.2A.A18.3BA10.5B16.ABAB8.13B
24.4B27.4B$199.A2.A.A.A20.3BA9.5B15.B2AB10.5B.5B24.4B27.4B$199.2A3.BA
3.3B7.A8.3AB8.5B14.3BA10.6B.6B22.4B27.4B$203.4B.5B4.3A9.4B7.5B13.4B
11.6B.6B21.4B27.4B$184.2A9.2A6.10B3.A13.4B6.5B12.4B12.6B.6B20.4B27.4B
$185.A10.A7.9B3.2A13.4B5.5B11.A3B13.6B.6B19.4B27.4B$185.A.2A7.A.AB2.
16B14.4B4.5B10.BABA14.2B2A2B.2B2A2B18.4B27.4B$186.A2B.2A5.2AB.3BABA9B
17.4B3.2BA2B9.2B2A15.BA2BAB.BA2BAB17.4B27.4B$188.3BAB6.5B3A8B2A17.4B.
2BABAB8.4B16.2BA2BA.A2BA2B16.4B27.4B$188.4B7.6BA9B2A18.5B2A2BAB6.4B
17.5BA.A5B15.4B27.4B$188.A4BA5.15B.B20.2B2A3BAB6.4B18.3B3A.3A3B14.2A
2B27.4B$185.3BA4BA6.14B21.2BA4B8.BA2B20.3A2B.2B3A14.2B2A27.4B$184.4B
4A3B7.10B22.3BA4B7.2A2B20.B2A3B.3B2AB12.2BAB27.4B$184.4BA4BA2B7.8B23.
3B2AB2A6.2B2A22.2A3B.3B2A12.4B27.4B$184.4BAB2A2BA2B7.6B25.4BA2B5.4B
23.BAB2A.2ABAB11.4B27.4B$180.A4.3BA5BA5B2.32B2A5B5.4B25.AB2A.2ABA11.
4B27.4B$180.3A3.2BAB5A17B2A19B4A4B4.A3B27.3B.3B11.4B27.4B$183.A.5BA3B
AB2A12B2AB2A18B2AB2A2B4.A3B29.2A.2A11.4B27.4B$182.A.A6B3A2B3A11B4A21B
2A3B3.B3A31.A.A11.4B27.4B$182.2A8B2A2B2A13B2A27B2.4B32.A.A10.4B27.4B$
185.2B.8B.7B31.4B2.4B34.A10.4B27.4B$182.2A4.7B5.3B31.4B2.4B26.A18.4B
27.4B$182.A5.6B6.4B29.4B2.4B26.A.A3.2A11.4B27.4B$184.A4.6B4.7B26.4B2.
ABAB26.A2.A3.A11.4B27.4B$183.2A4.5B5.8B24.4B2.B2AB27.A.A.2A.A10.4B27.
4B$190.2B4.B.3BA6B22.4B2.3BA27.2A.A.A.A10.4B27.4B$189.2A4.5BABA7B19.
4B2.4B4.A21.A2.A.2A2B10.4B27.4B$189.A5.4BA3BA6B.B16.A3B2.4B4.A.A20.2A
2.4B10.4B27.4B$190.A3.5BA3BA7B2A14.BABA2.A3B5.A.A24.7B6.4B27.4B$191.A
.A5B2AB2A7B2A13.2B2A2.BABA5.2A.2A24.8B3.4B27.4B$192.2A.17B13.4B2.2B2A
5.3B.3B24.8B.4B3.2A22.4B$197.17B10.4B2.4B5.4B.4B23.12B4.A22.4B$200.9B
3.2A9.4B2.4B5.5B.5B19.2B.11B2.BA.A21.4B$199.10B3.A9.4B2.4B6.5B.5B18.
2A14B.B2A10.A10.4B$199.4B.5B4.3A5.4B2.BA2B6.6B.6B17.2A16B12.3A7.4B$
195.2A3.BA3.3B7.A4.4B2.2A2B8.5B.5B19.2B.14B15.A5.4B$195.A2.A.A.A16.4B
2.2B2A8.6B.6B21.13B15.2A4.4B$197.2A.2A.A14.4B2.4B9.6B.6B18.2B.14B14.
9B6.2A$203.A13.A3B2.4B10.B3A2B.2B3AB17.2A18B14.6B7.A$203.2A11.A3B2.A
3B11.2B3AB.B3A2B17.2AB.19B2.2B2.B3.6B5.2A.A$215.B3A2.A3B12.AB4A.4ABA
18.B2.17B2A3BA12B4.A2.A$214.4B2.B3A13.B2A2BA.A2B2AB21.8B.7BAB2ABA3BA
10B3.B2A$213.4B2.4B14.2B3AB.B3A2B21.7B2.6B2A4BABA2BA14B$212.4B2.4B15.
3BA2B.2BA3B21.7B2.7B2A2B3A2B2A13B$211.4B2.4B16.6B.6B21.7B3.10B2A17B$
210.4B2.4B18.5B.5B19.AB.6B11.2B.B.17B$209.4B2.ABAB18.6B.6B17.A.A7B10.
3B4.15B$208.4B2.B2AB20.5B.5B19.A8B6.2A.2BA5.15B$207.4B2.3BA21.5B.5B
20.B.6B6.A.2BA.A5.13B$206.4B2.4B20.12B24.5B7.A2.BA.A2.13B$205.A3B2.4B
20.9B.3B23.6B8.A3.A.A.2A4.8B$204.BABA2.A3B22.4B.5B24.5B.B2A4.A.4A2.AB
2A6.6B$203.2B2A2.BABA22.5B.5B23.4B3.BA.A3.2A3.A.A2.B8.5B$202.4B2.2B2A
23.5B.6B21.4B7.A6.A.A.2A.2A9.B.B$201.4B2.4B23.6B.7B19.4B8.2A2.3A.A3.A
.A9.3B$200.4B2.4B25.5B.8B17.4B13.A2.A4.A.A9.B2AB$199.4B2.4B25.6B.9B
15.4B15.2A6.A11.2A$198.4B2.BA2B26.2B3AB.B3A6B13.4B$197.4B2.2A2B27.BA
2BAB.BA2BAB.BABA11.4B$196.4B2.2B2A28.5BA.A5B2.B2AB9.4B8.2A5.2A$195.4B
2.4B29.5BA.A5B3.A3B7.4B8.B2AB3.B2AB$194.A3B2.4B30.5BA.A5B4.4B5.4B6.AB
.3B5.3B.BA$193.A3B2.A3B31.BA2BAB.BA2BAB5.4B3.4B6.A.A5B3.5BA.A$192.B3A
2.A3B32.2BA3B.3BA2B6.4B.4B7.2A.6B.6B.2A$191.4B2.B3A33.6B.6B7.7B12.5B.
5B$190.4B2.4B35.5B.5B9.5B13.5B.5B$189.4B2.4B36.5B.5B9.5B12.6B.6B$188.
4B2.4B33.2A.6B.6B.2A4.7B11.6B.6B$187.4B2.4B34.A.A5B3.5BA.A3.4B.4B10.
6B.6B$186.4B2.ABAB36.AB.3B5.3B.BA3.4B3.2BAB9.6B.6B$185.4B2.B2AB40.B2A
B3.B2AB5.4B5.2B2A8.6B.6B$184.4B2.3BA42.2A5.2A5.4B7.2A2B7.6B.6B$183.4B
2.4B56.4B9.4B6.6B.6B$182.A3B2.4B56.4B11.4B5.B2ABAB.BAB2AB$181.BABA2.A
3B56.4B13.4B4.BA2BAB.BA2BAB$180.2B2A2.BABA56.ABAB15.4B4.B3AB.B3AB$
179.4B2.2B2A27BA2BA26B2A14BA2BA19B$178.4B2.31BA22B4A5BA13BA22B$177.4B
2.4B.27BA3BA18BA3BA18BA3BA18B$176.4B2.4B2.27B4A19BA22B4A13B.4B$175.4B
2.BA2B4.50BA2BA42B$173.5B2.2A2B46.8B2.4B29.5B.6B$173.4B2.2B2A28.4B3.B
.5BA3B.8B.4B29.7B2.4B$172.10B29.4B.8B2A16B30.7B.B2A2B$171.A9B29.2A11B
3ABA9B2A2B2.3B.B.3B.9B.3B.B.10B2.2A$170.A3B.BA3B30.2A10B2A13B2A16BA3B
A5BAB2A3B2.3B$169.B3A2.A3B32.B.10B2A29BA5BA4BABABA7B$168.4B2.B3A2B33.
11BA14B.14BA9BA4BA6B$167.4B2.7B50.3B.B.3B2.13B2A3BA5BABABA4B$166.4B2.
9B32.11BA11B7.13B3A6BAB2A3B$165.4B2.10B30.B.10B2A11B.B5.3B.B.3B11.3B.
B.3B$164.4B2.4B.7B28.2A10B2A13B2A7.10B3A10B$163.4B2.ABAB2.6B2A27.2A
11B3ABA9B2A5.B.8B2A3BA9B.B$162.4B2.B2AB4.5BABA27.4B.8B2A7B.4B5.2A9BA
15B2A$161.4B2.3BA3.5B2.A3B26.4B3.B.5BA3B.B3.4B5.2A9BA5BA9B2A$160.4B2.
4B4.2A6.4B58.4B.6BA3BA6B.4B$159.4B2.4B6.A7.4B57.4B3.B.9B.B3.4B$158.4B
2.4B4.3A9.4B19.2A5.2A$157.4B2.4B5.A12.4B16.2B2AB3.B2A2B$156.4B2.4B20.
4B15.4B5.4B$155.4B2.4B22.4B14.6B.6B$154.4B2.4B24.4B13.6B.6B$153.4B2.
4B26.4B14.4B.4B$152.4B2.4B28.4B12.5B.5B$151.4B2.4B30.B3A11.B3AB.B3AB$
150.4B2.4B32.A3B9.BA2BAB.BA2BAB$149.4B2.4B34.A3B9.A3BA.A3BA$148.A3B2.
4B36.4B7.2ABABA.ABAB2A$147.A3B2.4B38.4B6.2AB2AB.B2AB2A$146.B3A2.4B40.
4B5.B3A2B.2B3AB$145.4B2.4B42.4B4.6B.6B$144.4B2.4B44.4B3.6B.6B$143.4B
2.4B46.4B2.6B.6B$142.4B2.4B47.5B.6B.6B$141.4B2.4B47.13B.6B$140.4B2.AB
AB47.7B2A5B.6B$139.4B2.B2AB47.4B2.2BABA4B.5B$138.4B2.3BA47.4B5.A6B.6B
$137.4B2.4B47.4B7.6B.5B$136.4B2.4B47.4B9.5B.5B$135.4B2.4B47.4B10.5B.
4B$134.4B2.4B47.4B9.3B.9B$133.4B2.4B47.4B10.12B$132.4B2.4B47.4B10.5B.
5B$131.4B2.4B47.4B11.5B.5B$130.4B2.4B47.4B11.6B.6B$129.4B2.4B47.4B13.
5B.5B$128.4B2.4B47.4B13.6B.6B$127.4B2.4B47.4B14.6B.6B$126.4B2.4B47.4B
15.6B.6B$125.4B2.4B47.4B16.6B.6B$124.4B2.4B47.4B17.6B.6B$123.4B2.4B
47.4B18.6B.6B$122.4B2.4B47.4B19.B2A3B.3B2AB$121.4B2.4B47.4B20.BAB2AB.
B2ABAB$120.4B2.4B47.4B21.BA3BA.A3BAB$119.4B2.4B16.2A5.2A22.2A2B23.2A
2BA.A2B2A$118.4B2.4B15.2B2AB3.B2A2B19.ABAB24.B3AB.B3AB$117.4B2.4B16.
4B5.4B18.3BA21.2A.3BA2B.2BA3B.2A$116.4B2.4B17.6B.6B17.4B22.A.A5B3.5BA
.A$115.4B2.4B18.6B.6B16.4B24.AB.3B5.3B.BA$114.4B2.4B21.4B.4B17.4B28.B
2AB3.B2AB$113.A3B2.4B21.5B.5B15.4B30.2A5.2A$112.BABA2.4B22.2BA2B.2BA
2B14.4B$111.2B2A2.4B22.2B3AB.B3A2B12.4B$110.4B2.4B24.2A2BA.A2B2A12.4B
41.4B3.B.3B2A4B.B3.4B$109.4B2.4B24.BA3BA.A3BAB10.4B42.4B.9BA7B.4B$
108.4B2.4B25.BAB2AB.B2ABAB9.4B10.4B3.B.9B.B3.4B5.2A10B2A2BA10B2A$107.
4B2.4B26.B2A3B.3B2AB8.4B11.4A.6B2A9B.4B5.2A11BA2BA10B2A$106.4B2.BA2B
27.6B.6B7.4B11.A3BA6BA2BA12B2A5.B.11BABA9B.B$105.4B2.2A2B28.6B.6B6.4B
12.A10BA2B2A11B2A7.11B2A10B$104.4B2.2B2A29.6B.6B5.4B14.A.2ABA4BA2BA
11B.B5.3B.B.3B11.3B.B.3B$103.4B2.4B30.6B.6B4.4B17.B3A6BA12B7.3B2A9B2A
13B$102.A3B2.4B31.6B.6B3.4B35.3B.B.3B2.3BA3B2A7BABA14B$101.A3B2.4B32.
6B.6B2.4B19.B3A6BA15B.4BA4BA6BA2BA15B$100.B3A2.4B34.5B.5B2.4B18.A.2AB
A4BA2BA19BA3B2A5B2A2BA15B$99.4B2.4B34.6B.10B18.A10BA2B2A11B2A7B2A10BA
16B$98.4B2.4B36.5B.9B19.A3BA6BA2BA12B2A2B2.3B.B.3B.3B2A4B.3B.B.4BA3B
2.2A$97.4B2.4B37.5B.8B21.4A.6B2A18B28.3BA3B.B2A2B$96.4B2.4B36.15B22.
4B3.B.9B.11B2A27.2B3A2B2.4B$95.4B2.4B36.9B.5B41.5B6.BABA27.5B.6B$94.
4B2.ABAB38.4B.62BA9BA2BA16B2AB2A7B$93.4B2.B2AB38.5B.48B4A19BA20B2AB2A
.4B$92.4B2.3BA39.5B.48BA3BA18BA3BA17BABA7B$91.4B2.4B39.6B.6BA41BA22B
4A19BA8B$90.4B2.4B41.5B.4BABA42BA2BA32BA18B$89.4B2.4B41.6B.5B2A2B58.
4B13.B2AB4.5B.5B$88.4B2.4B42.6B.10B58.4B11.BABA4.6B.6B$87.4B2.4B43.6B
.6B.4B58.4B9.4B5.6B.6B$86.4B2.4B44.6B.6B2.4B44.2A5.2A5.4B7.4B6.B3A2B.
2B3AB$85.4B2.4B45.6B.6B3.4B42.B2AB3.B2AB5.4B5.4B7.2B3AB.B3A2B$84.4B2.
4B46.6B.6B4.4B38.AB.3B5.3B.BA3.B3A3.4B8.AB4A.4ABA$83.4B2.4B47.B3A2B.
2B3AB5.4B36.A.A5B3.5BA.A3.A3B.4B9.B2A2BA.A2B2AB$82.4B2.4B48.2AB2AB.B
2AB2A6.4B35.2A.6B.6B.2A4.A6B10.2B3AB.B3A2B$81.4B2.4B49.2ABABA.ABAB2A
7.4B38.5B.5B9.5B11.3BA2B.2BA3B$80.4B2.4B51.A3BA.A3BA9.3BA37.5B.5B9.5B
11.6B.6B$79.4B2.4B51.BA2BAB.BA2BAB9.3BA35.6B.6B7.7B11.5B.5B$78.4B2.4B
53.B3AB.B3AB11.3AB34.6B.6B6.2A2B.4B9.6B.6B$77.4B2.4B54.5B.5B12.4B33.
6B.6B5.2B2A3.4B9.5B.5B$76.4B2.4B56.4B.4B14.4B32.6B.6B4.2BAB5.4B8.5B.
5B$75.4B2.4B55.6B.6B13.4B31.2B2A2B.2B2A2B3.4B7.4B8.4B.4B$74.4B2.4B56.
6B.6B14.4B30.BA2BAB.BA2BAB2.4B9.4B5.6B.6B$73.4B2.4B57.4B5.4B15.4B29.
4B2A.2A4B.4B11.4B4.6B.6B$72.4B2.4B58.2B2AB3.B2A2B16.4B28.3BABA.ABA7B
13.4B3.4B5.4B$71.4B2.4B61.2A5.2A19.4B27.3BABA.ABA6B15.4B2.2B2AB3.B2A
2B$70.4B2.4B91.4B27.A4B.4BA3B17.4B3.2A5.2A$69.4B2.4B93.4B25.A5B.5BAB
19.4B$68.4B2.4B95.4B25.5B.6B21.4B$67.4B2.4B97.4B24.3B2A.2A3B23.4B$66.
4B2.4B99.4B24.A2BA.A2BAB24.4B$65.4B2.4B101.4B22.B2AB3ABA.2AB23.4B$64.
4B2.4B103.4B22.2B5AB4A24.4B$63.4B2.4B105.4B23.BAB2A.2ABAB24.4B$62.4B
2.4B107.4B22.2A3B.3B2A25.4B$61.4B2.4B109.4B20.B2A3B.3B2AB25.4B$60.4B
2.4B111.4B20.3A2B.2B3A27.4B$59.4B2.4B113.4B18.3B3A.3A3B27.4B$58.4B2.
4B115.4B17.5BA.A5B28.4B$57.4B2.4B117.3BA16.2BA2BA.A2BA2B29.4B$56.A3B
2.4B119.3BA15.BA2BAB.BA2BAB30.4B$55.A3B2.4B121.3AB14.2B2A2B.2B2A2B31.
4B17.2A5.2A$54.B3A2.4B123.4B13.6B.6B32.4B14.2B2AB3.B2A2B$53.4B2.4B
125.4B12.6B.6B33.4B13.4B5.4B$52.4B2.4B127.4B11.6B.6B34.4B12.6B.6B$51.
4B2.4B129.4B10.6B.6B35.4B11.6B.6B$50.4B2.4B131.4B10.5B.5B37.2B2A12.4B
.4B$49.4B2.4B133.4B9.5B.5B38.BABA10.5B.5B$48.4B2.ABAB135.4B4.2A.6B.6B
.2A35.A3B9.5B.5B$47.4B2.B2AB137.4B3.A.A5B3.5BA.A36.4B7.6B.6B$46.4B2.
3BA139.4B3.AB.3B5.3B.BA38.4B7.5B.5B$45.4B2.4B141.3BA5.B2AB3.B2AB42.4B
5.2B3AB.B3A2B$44.A3B2.4B143.ABAB5.2A5.2A44.4B4.2BA2BA.A2BA2B$43.BABA
2.4B145.2A2B58.4B3.2BA3B.3BA2B$42.2B2A2.4B147.4B58.4B2.6B.6B$41.4B2.
4B149.4B58.4B.3BA2B.2BA3B$40.4B2.4B151.4B58.8B2A.2A4B$39.4B2.4B153.4B
58.3BA5B.6B$38.4B2.4B155.4B58.BABA4B.6B$37.4B2.BA2B157.4B57.A7B.6B$
36.4B2.2A2B159.4B55.3B2A4B.5B$35.4B2.2B2A161.4B53.10B.6B$34.4B2.4B
163.3BA51.4B2.5B.5B$33.4B2.4B165.3BA49.4B3.5B.5B$32.4B2.4B167.3AB47.
4B5.4B.4B$31.4B2.4B169.4B45.4B4.6B.6B$30.4B2.4B171.4B43.4B5.6B.6B$29.
4B2.4B173.4B41.4B6.4B5.4B$28.4B2.4B175.4B39.4B7.2B2AB3.B2A2B$27.4B2.
4B177.4B37.4B10.2A5.2A$26.4B2.4B179.4B35.4B$25.4B2.4B181.4B33.4B$24.
4B2.4B183.4B31.4B$23.4B2.4B185.4B29.4B$22.4B2.4B187.3BA27.4B$21.4B2.
4B189.ABAB25.4B$20.4B2.4B191.2A2B23.4B$19.4B2.4B193.4B21.4B$18.4B2.4B
195.4B19.4B$17.4B2.4B197.4B10.A6.4B$16.4B2.4B199.4B7.3A5.4B$15.4B2.4B
201.4B5.A7.2A2B$14.4B2.4B203.4B4.2A5.ABAB$13.4B2.4B205.9B4.3BA$12.4B
2.4B207.6B5.4B$11.4B2.4B208.8B2.4B$10.A3B2.4B207.15B$9.A3B2.A3B208.
14B$8.B3A2.A3B209.13B$7.4B2.B3A208.2AB.10B$6.10B208.A.AB3.B2A3B$5.10B
209.A6.B2A3B$4.10B209.2A6.4B$3.10B219.3B$2.6BABAB221.2B.BA$2.B2A3B2A
2B220.B2ABA.A$2.B2A4BA2B219.BABABA.A$.11B217.A2.A.A.A.2A$12B217.4A.2A
2.A$12B221.A4.A$11B218.2A2.A.3A$.9B219.2A3.2A$.8B$2.6B$3.4B$4.2B!

[Scorbie]

Posting just to appreciate the value of this thread.

The randomness of these PRNGs depends on K, not on the base period of the technology used. That's why I posted PRNGs with different periods but the same K value. They have the same randomness. So in theory, whether practical or not, this switchable tractor beam is a randomness tester. That's the actual point of my post.

This was the hook that led me into this thread. (And seems to be a good hook to me)

A method for controlling the oscillation amplitude without fixing the ends or deleting the block

Maybe a stupid question, but wouldn't that alter the PRNGness of the sliding block? or does that not matter?

A method for controlling the oscillation amplitude without fixing the ends or
deleting the block (which works as in "sawtooth177.rle", but recreating it is a
problem) is shown below: the pushers in the beam delete gliders from a control
track ORed into the input (with considerable delay). When the block moves past
the track, the input is biased in favour of pushers.

Doesn't that alter the PRNG algorithm?
(Off-topic, but there's a p46 gliderless LWSS gun in one of the patterns. Did you find it? That seems notable enough if it's your find.)

[nokangaroo]

If you mean this:

Code: Select all

#N lwssgun1.rle
#C http://conwaylife.com/wiki/Gliderless_gun
#C http://conwaylife.com/patterns/lwssgun1.rle
x = 40, y = 42, rule = B3/S23
23b2o$23bo$17b2ob2obo$15bo2bobobo$15b2o4bo13bo$33b3o$32bo$32b2o2$12b2o
$11bobo5b2ob2o7b2o$10bo7b2o3b2o6b2o$9bo9b2ob2o$9b2o9b3o$21bo$3b2o$4bo$
2bo$2b2o2$2b2o7bobo2bobo11bo2bo$2bobo6bo2bo3bo15bo$3bo5b2o3bobobo11bo
3bo$3o7b3obo16b4o$o6b2o5b2o$7b2o4b2o$7b2o3bo$7b2obobo$7b2obobo2$24b3o
8b2o$10b2o12bobo8b2o$6b2o2b2o5b2o5bobo$5bobo8bobo$5bo10bo19b2o$4b2o9b
2o19bo$37b3o$19b2o4bo13bo$19bo2bobobo$21b2ob2obo$27bo$27b2o!

that's not my find, it's from the conwaylife.com pattern collection and uses Tanner's p46 oscillator.

Messing with the oscillation amplitude would certainly change the randomness. I posted the pattern because it seems interesting, whether or not it has any practical uses is for others to decide. (It might behave in unexpected ways and foil attempts to hack the algorithm).

[nokangaroo]

This is the modification mentioned before (offsetting the pulse divider in the control track by 2 ticks). Probably not the way to go (at least not if you are into randomness) - the beam zaps down suddenly every 23360732 generations, which is exactly the PRNG's period, and a deviation from random behaviour which allows inferring the period (I didn't even need oscar for it). The oscillation bottom is marked by tubs.
Maybe something like this could be used to find the period of high-period oscillators quickly.

Code: Select all

x = 653, y = 447, rule = LifeHistory
349.4B3.B.9B.B$349.4B.8B3A6B.B$348.2A11BA4BA5B2A$348.2A10BA5BA7B2.B.
9B.B3.4B$349.B.10BA18B2A9B.4B$351.11B2A15BA2B2A11B2A$265.2A5.2A98.6B
6A11B2A$264.ABAB3.BABA76.11B2A16B4A10B.B$261.AB.2AB5.B2A.BA30.2A39.B.
10BA8BA23B$260.A.ABA3B3.3BABA.A29.A39.2A10BA5BA2BA4B$260.2A.5BA.A5B.
2A23.2A.2A.A39.2A11BA4BA2B3A.21B$264.2A3B.3B2A25.A2.A.A.A41.4B.8B3A
15B4A10B.B$264.2A3B.3B2A25.2A3.BA3.3B7.A8.2A18.4B3.B.12B2.6B6A11B2A$
263.4BAB.BA4B28.4B.3B2A4.3A7.A.A34.4B3.7BA2B2A11B2A$263.4B2A.2A4B28.
6BA2BA3.A10.BA34.4B6.6B2A9B.4B$263.2B3AB.B3A2B29.4BA4B3.2A10.2B2.9B.B
3.4B12.4B9.B.9B.B3.4B$263.2B2A2B.2B2A2B26.6B2A9B8.5B4A10B.4B11.4B$
263.2BA3B.3BA2B21.2A.7B2A4BA3B9.2A3B2A2BA14B2A9.4B$263.6B.6B20.A.A17B
2A8.2A2B2A2BA15B2A8.4B$263.6B.6B19.A3.6BA4B2A4B2A9.B.2BA2BA14B.B8.4B$
263.6B.6B18.A5.15B.B13.2B2A15B9.A3B$263.6B.6B18.2A4.15B28.2BA.B.A2B5.
BABA$264.5B.5B20.2B4.B.10B17.2B2A10BABABABAB4.2B2A$263.6B.6B12.2A4.4B
A5.8B8.A6.B.2BA2BA7B2A2BABA2B2AB.4B$264.5B.5B14.A4.5BA5.6B7.3A5.2A2B
2A2BA7B2A7B2A5B$264.5B.5B12.A5.2BA2BA5.B4AB7.A8.2A3B2A2BA6B2A2BABA2B
2A4B$262.12B13.2A4.7B4.B4AB7.2A8.5B4A8BABABABA5B80.2A14.A$261.9B.3B
16.2B.BA7B2.3BA2B4.5B3.2A5.2B2.9B.2BA.B.A5B82.A13.A.A$262.4B.5B15.2A
11B2A7B4.4B5.A5.BA20.5B82.A.AB10.A.A18.2A$261.5B.5B15.A.A6B3AB3A6B4.B
3AB6.A3.A.A18.7B82.2AB.2A5.3A.2A17.A.A$261.5B.6B15.A.10B2A8B2.BA3BAB
4.2A4.2A17.4B.4B83.2B2AB3.A4.B19.AB$260.6B.7B11.3A3.3BA8B.6B.BA3B2AB.
2B25.A3B3.4B82.4B5.3AB2AB3.B.9B2.2B$261.5B.6BAB10.A4.12B3.6BA11B2A21.
A3B5.4B81.6B5.A.2AB.5BA13B$260.6B.7B2A13.3B2AB4A3B3.6BA2BA7BA.A20.B3A
7.4B77.5B3AB7.8B2A12B2A$260.6B.6B2A2B12.4BAB5AB4.6BA10B.A20.4B9.4B75.
6BA2BAB7.6B2A13B2A$260.6B.6B.4B11.6BA2BAB5.7BA3B2A3B3.3A16.4B11.4B74.
4B2A2B2A2B6.7B2A2B2A7B.B$260.6B.6B2.4B11.5B3AB6.8BA3BA4B4.A15.4B13.4B
73.4BABA2BA3B3.B2A18B$260.2B2A2B.2B2A2B3.4B13.3BA2B6.9B3A6B18.4B15.4B
68.A4.3BABA10B2A4B$260.BA2BAB.BA2BAB4.4B12.4B8.5B.12B17.4B17.4B67.3A
3.35B$260.2BA2BA.A2BA2B5.4B11.2B2AB7.5B2.11B16.4B19.4B69.A.4BA2BA3BA
12B2A2B2A7B.B$260.5BA.A5B6.4B8.2AB.2A8.5B3.9B16.4B21.4B67.A.A7BA2B2A
11B2A13B2A$260.3B3A.3A3B7.4B6.A.AB11.5B3.6B18.4B23.B3A66.2A5BA2BA3BA
12B2A12B2A$261.3A2B.2B3A9.4B5.A14.5B5.4B17.4B25.A3B68.2B.8B.B2.10BA
13B$261.2A3B.3B2A10.4B3.2A14.2BABA4.B2A2B16.A3B27.A3B64.2A4.2BA4B5.8B
.9B2.2B$257.2A.3A3B.3B3A.2A7.BABA18.BA3B5.2A.B2A13.BABA29.4B63.A6.4BA
7.B.5B13.AB$257.A.4A2B3.2B4A.A8.B2AB17.BA3B8.BA.A11.2B2A31.4B64.A5.4B
8.7B11.A.A$258.AB.A2B5.2BA.BA10.A3B16.BA2BA11.A10.4B33.4B62.2A3.5B8.
9B10.2A$261.ABAB3.BABA14.4B15.B3AB11.2A8.4B35.4B66.2A10.11B$262.2A5.
2A16.4B14.5B20.4B37.4B66.A9.A12B$288.4B13.5B19.4B39.4B62.3A9.BABA.5B.
4B$272.2A15.4B12.5B18.4B41.4B61.A10.2B2A2.5B2.4B$272.A17.4B11.5B17.4B
43.4B70.4B3.5B3.4B$266.2A.2A.A18.4B10.5B16.4B45.4B68.4B4.5B4.4B$264.A
2.A.A.A20.4B9.5B15.4B47.4B66.4B5.5B5.4B$264.2A3.BA3.3B7.A8.4B8.5B14.A
3B49.4B64.4B6.5B6.4B$268.4B.5B4.3A9.2BAB7.5B13.A3B51.4B62.4B7.5B7.4B$
249.2A9.2A6.10B3.A13.2B2A6.5B12.B3A53.4B60.4B8.5B8.4B$250.A10.A7.9B3.
2A13.2A2B5.5B11.4B55.4B58.4B9.5B9.4B$250.A.AB7.A.AB2.16B14.4B4.5B10.
4B57.4B56.4B10.5B10.4B$251.2AB.2A5.2AB.B2A3B2A7B17.4B3.5B9.4B59.4B6.B
47.4B11.5B11.4B$253.2B2AB6.2BABA3BABA5B2A17.4B.6B8.ABAB50.2A9.4B4.3B
45.4B12.5B12.4B$253.4B7.2BA7BA5B2A18.11B6.B2AB50.A.A10.4B3.4B43.4B13.
5B13.4B$253.6B5.2BA3BA3BA4B.B20.9B6.3BA51.BA12.4B2.5B41.4B14.5B14.4B$
250.2A2BA4B6.2BA5BA5B21.7B8.4B53.2B2.9B.11B39.4B15.5B15.4B$249.BA9B7.
BA3BA4B22.8B7.4B52.28B37.4B16.5B16.4B$249.7BA4B7.B3A4B23.2A6B6.4B52.
2A6B2A11B3AB.4B35.4B17.5B17.4B$249.2BA4BA5B7.6B25.7B5.A3B53.2A5B2A9BA
4BAB2.4B33.4B18.5B18.4B$245.A4.2B2A11B2.13BA2BA22B5.BABA55.B.5B5A5BA
2B2AB4.4B31.4B19.5B19.4B$245.3A3.2B2A7B2A20BA21B4.2B2A59.5B4A11B5.4B
29.4B20.5B20.4B$248.A.4BA7B3A15BA3BA20B4.4B74.2BA2B7.4B27.4B21.5B21.
4B$247.A.A12B2A17B4A18BAB3.4B61.5B4A5BA3B9.3BA25.4B22.5B22.3BA$247.2A
7BA5B2A37B2A2B2.4B59.B.5B5A10B9.B2AB23.4B23.5B23.ABAB$250.2B.8B.7B31.
2B2A2.4B59.2A5B2A9BABA2BA9.ABAB21.4B24.5B24.2A2B$247.2A4.7B5.3B31.4B
2.4B60.2A6B2A9B2A3BA9.4B19.4B25.5B25.4B$247.A5.6B6.BA2B29.4B2.4B62.
18B2AB2A2B9.4B17.4B26.5B26.4B$249.A4.6B4.B3A3B26.4B2.4B65.2B2.9B.B.2B
3AB11.4B15.4B4.A22.5B27.4B$248.2A4.5B5.B3A4B24.4B2.4B65.BA14.4B2A3.2A
8.4B13.4B4.A.A21.5B28.4B$255.2B4.A.8BAB22.4B2.A3B66.A.A14.4B2A.B2A2B
7.4B11.4B5.A.A9.2A5.2A3.5B29.4B$254.2A4.ABA3BA3B3A2B19.4B2.A3B68.2A
13.5B2A2.4B8.4B9.4B5.2A.2A6.2B2AB3.B2A2B.5B30.4B$254.A5.6BA3B2ABAB.B
16.4B2.B3A85.5B.6B9.4B7.4B5.3B.3B5.4B5.4B.5B31.4B$255.A3.7BA3B2AB2AB
2A14.4B2.4B85.13B10.4B5.4B5.4B.4B4.6B.6B.5B32.4B$256.A.A3BA7B4A2B2A
13.4B2.4B87.5B.4B13.4B3.4B5.5B.5B3.6B.6B.5B33.4B$257.2A.4BA3BA8B13.AB
AB2.4B87.12B13.4B2.3B6.2BA2B.2BA2B5.4B.4B3.5B34.4B$262.8B2A7B10.B2AB
2.4B88.12B14.7B6.2B3AB.B3A2B3.5B.5B2.5B35.4B$265.5BA3B3.2A9.3BA2.4B
89.13B14.5B8.2A2BA.A2B2A4.5B.5B2.5B36.4B$264.10B3.A9.4B2.4B91.5B.5B
15.5B7.BA3BA.A3BAB2.6B.6B.5B37.4B$264.4B.5B4.3A5.4B2.4B91.6B.6B13.7B
6.BAB2AB.B2ABAB3.5B.5B2.5B26.2A10.4B$260.2A3.BA3.3B7.A4.4B2.4B92.6B.
6B14.2B.4B5.B2A3B.3B2AB2.6B.6B.5B26.A12.4B$260.A2.A.A.A16.4B2.4B93.6B
.6B13.3B2.4B4.6B.6B2.6B.6B.5B20.2A.2A.A13.4B$262.2A.2A.A14.6BA3B94.2B
3AB.B3A2B12.4B3.4B3.6B.6B2.6B.6B.5B18.A2.A.A.A15.4B$268.A13.7BABA95.
2B3AB.B3A2B11.4B5.4B2.6B.6B2.6B.6B.5B18.2A3.BA3.3B7.A3.4B$268.2A11.8B
2A96.BAB2AB.B2ABAB10.4B7.4B.6B.6B2.2B3AB.B3A2B.5B22.4B.5B4.3A4.4B$
280.10B97.BAB2AB.B2ABAB9.4B9.10B.6B2.2BA2BA.A2BA2B.5B14.2A6.10B3.A8.
4B$279.BA8B98.2B2A2B.2B2A2B8.4B11.3BA5B.6B2.2B2ABA.AB2A2B.5B15.A7.9B
3.2A8.3BA$278.2A9B98.3BA2B.2BA3B7.4B13.B2A5B.5B3.2B2A2B.2B2A2B.5B15.A
.AB2.16B9.ABAB$277.2B2A8B99.5B.5B7.4B15.ABA4B.6B2.6B.6B.5B16.2AB.2BA
3BA8B12.2A2B$276.13B98.6B.6B5.4B17.6B.5B4.5B.5B.6B18.3B2A3B2A6B2A12.
4B$275.14B99.3B2A.2A3B5.4B19.5B.5B3.19B18.2B2A5B2A5B2A13.4B$274.15B
99.4BA.A4B4.4B20.5B.4B5.18B18.3B2A3B2A5B.B15.4B$273.15B101.3BA.A3B4.
4B19.3B.9B4.3B2AB2A10B19.3B5A6B18.4B$272.6BA8B103.2BA.A2B4.4B20.12B6.
A2BA.A2BA8B21.2B3A5B21.4B$271.6BA8B105.2A.2A4.4B20.5B.5B6.2BABA3BABA
2B.5B22.2BA5B23.4B$270.7B3A5B107.A.A4.4B21.5B.5B6.2B3AB.B3A2B.5B23.6B
5.A19.4B$269.15B108.A.A3.4B21.6B.6B5.2B2A2.3B2A2B.5B22.6B5.A.A19.4B$
268.15B110.A3.4B23.5B.5B6.2B2AB.3B2A2B.5B23.5B5.A.A20.4B$267.ABA12B
114.4B23.6B.6B7.2A2.3B2A2B.5B23.5B4.2A.3A19.4B$266.B2A3BABA6B114.4B
24.6B.6B13.5B.5B21.8B4.B4.A19.4B$265.3BA3B2A6B114.4B25.6B.6B12.12B20.
7B2A2.B2AB3A21.4B$264.9BA5B114.4B26.6B.6B11.4B.8B21.6B2A3B2A.A24.4B$
263.15B14.2A98.4B27.6B.6B11.4B2.7B21.13B27.4B$262.15B16.A97.4B28.6B.
6B5.2A2.7B2.6B20.12B30.4B$261.15B17.A.2A.2A90.4B29.2BA3B.3BA2B3.2B2AB
.7B3.5B19.14B30.4B$260.6BA8B19.A.A.A2.A30.2A55.4B30.B4AB.B4AB3.4B2.7B
3.5B18.15B31.4B$259.7BABA5B7.A7.3B3.AB3.2A31.A54.4B31.BA3BA.A3BAB3.6B
.5B4.6B16.ABA7B.6B31.4B$258.8B2A5B8.3A4.5B.2A2B35.A.2A.2A47.4B33.BA2B
A.A2BAB4.13B3.7B14.B2AB2.5B.5B33.4B$257.15B12.A3.6B2A2B6.2A9.2A17.A.A
.A2.A44.4B33.2B3AB.B3A2B5.4B.5B4.8B12.3BA2.6B.6B33.4B$256.BA13B12.2A
3.6BABA7.A10.A5.A7.3B3.AB3.2A43.4B35.5B.5B5.12B3.9B10.4B3.6B.6B34.3BA
$255.2A13B13.13BA2B2.BA.A7.BA.A5.3A4.5B.4B46.4B36.5B.5B5.12B3.5B.4B8.
4B4.3BA2B.2BA3B35.ABAB$254.2B2A11B16.9BABA3B.B2A5.2A.B2A9.A3.10B6.2A
37.4B38.4B.4B5.13B3.5B2.4B6.4B5.2BABAB.BABA2B36.2A2B$253.15B16.2A8B2A
6B6.B2A2B10.2A3.9B7.A37.4B37.6B.6B4.5B.5B4.5B3.4B4.4B6.BA3BA.A3BAB37.
4B$252.15B17.2A16B7.4B10.16B2.BA.A36.4B38.6B.6B3.6B.6B3.5B4.4B2.4B7.B
A3BA.A3BAB38.4B$251.15B19.B.15B5.2BA3B12.9BABA3B.B2A36.4B39.4B5.4B3.
6B.6B3.5B5.8B8.BA4B.4BAB39.4B$250.15B22.14B6.B3A5B8.2A8BABA5B37.4B40.
2B2AB3.B2A2B3.3BA2B.2BA3B3.5B6.6B9.6B.6B40.4B$249.6BA8B25.10B7.BA2BA
6B7.2A8B3A5B36.4B43.2A5.2A5.2BABAB.BABA2B3.5B7.4B10.2B2A2B.2B2A2B41.
4B$248.6BA8B27.8B7.B5ABA4B8.B.15B35.4B58.BA3BA.A3BAB3.5B6.6B10.5B.5B
43.4B$247.7B3A5B5.B23.6B7.3B4AB2A3B10.14B35.4B59.BA3BA.A3BAB3.5B5.7BA
9.5B.5B44.4B$246.15B5.B2A30B2.15B4.A8.10B36.4B60.BA4B.4BAB3.5B4.4B2.B
2AB4.2A.6B.6B.2A41.4B$245.15B6.B3A19B2A20BA3B3.3A9.8B36.4B61.6B.6B3.
5B3.4B4.ABAB3.A.A5B3.5BA.A42.4B$244.ABA12B7.B3A18B2AB2A11B2A10B.A7.A
5.6B36.4B62.2B2A2B.2B2A2B3.5B2.4B6.4B3.AB.3B5.3B.BA44.4B$243.B2A12B4.
27B4A10B3AB3A6BA.A5.A.A5.6B34.4B64.5B.5B4.B3AB.4B8.4B5.B2AB3.B2AB48.
4B$242.3BA12B2.3B3A24B2A12B2A11B2A5.A.A5.5B34.4B64.13B3.A2BA5B10.4B5.
2A5.2A50.4B$241.22B2ABA2B28.7B.6BAB.2B6.3A.2A4.5B33.4B66.12B3.3BA4B
12.4B64.4B$240.24B3AB30.3B5.7B4.2A2.A4.B4.8B30.3AB67.3BA3BA4B3.3BA3B
14.4B64.4B$239.30B28.4B6.A2BA2B5.A3.3AB2AB2.2A7B28.3BA69.4B.2B2AB4.AB
A3B16.4B64.4B$238.32B25.7B4.A5B4.A7.A.2A3B2A6B28.3BA68.2A3BABA3BAB3.
5B18.4B64.4B$237.6BA15BA6B.4B23.8B5.A4B4.2A8.13B27.4B69.5BA.A3BA4.5B
19.4B64.4B$236.7BABA10B.B3AB.2B3.4B21.10B.B4.2B17.11BA25.4B70.4B2.2B
3A2B3.5B20.4B64.4B$235.8B2A10B2.BAB2A7.4B18.15B4.2A15.13BA23.4B71.A2B
AB.9B.5B.4B2A3B.B3.4B2.4B64.4B$234.20B3.2B3A8.4B15.B.8BA6B5.A15.11B3A
B21.4B74.2A2.19BA9B.4B3.4B64.4B$233.BA14BA3B4.2B2AB9.4B13.2A7B2AB2A5B
3.A15.6B.10B19.4B81.16BA2B2A10B2A3.4B64.3BA$232.2A14BA3B5.5B10.4B12.
2A7B2AB2A5BA.A17.5B.5B2.4B17.4B82.16BA2BA11B2A4.4B64.ABAB$231.2B2A13B
3A6.5B11.2B2A12.17B.2A17.6B.6B2.4B15.4B84.15BABA11B.B6.4B64.2A2B$230.
20B7.5B12.BABA9.17B22.6B.6B3.4B13.4B88.13B2A11B9.4B64.4B$229.20B8.5B
13.A3B8.2A3.9B25.6B.6B4.4B11.4B89.3B.B.3B27.4B64.4B$228.20B9.5B14.4B
8.A3.10B24.6B.6B5.4B9.4B93.10B2A11B11.4B64.4B$227.20B10.5B15.4B4.3A4.
5B.4B24.6B.6B6.4B7.4B92.B.9BABA11B.B10.4B64.4B$226.6BA13B11.5B16.4B3.
A7.3B3.AB3.2A20.B3A2B.2B3AB7.4B5.4B92.2A10BA2BA11B2A10.4B64.4B$225.6B
A13B12.5B17.4B15.A.A.A2.A20.B3A2B.2B3AB8.4B3.4B93.2A10BA2B2A10B2A11.
4B64.4B$224.7B3A10B13.5B18.4B13.A.2A.2A22.2B2A2B.2B2A2B9.4B.4B95.4B.
7BA9B.4B13.3BA64.4B$223.20B14.5B19.4B12.A28.4BAB.BA4B8.9B96.4B3.B.4B
2A3B.B3.4B14.B2AB64.4B$222.20B15.5B20.4B10.2A29.BA2BA.A2BAB10.7B139.A
BAB64.4B$221.ABA13BA3B16.5B11.2A8.4B40.A3BA.A3BA10.7B140.4B64.4B$220.
B2A14BABA17.5B11.A10.4B35.2A.2BA2BA.A2BA2B.2A5.9B140.4B64.4B$219.3BA
14B2A18.5B8.BA.A11.B3A34.A.A2B3A3.3A2BA.A4.6B.4B140.4B64.4B$218.20B
19.5B5.2A.B2A13.A3B34.AB.B2A5.2AB.BA5.6B2.4B140.4B64.4B$217.20B4.2A
14.5B4.B2A2B16.A3B36.B2AB3.B2AB8.4B5.4B140.4B64.4B$216.20B6.A14.5B5.
4B17.4B36.2A5.2A8.4B7.3B141.4B64.4B$215.20B7.A.AB11.5B3.6B18.4B25.2A
24.4B10.B2A140.4B64.4B$214.6BA13B9.2AB.2A8.2BA2B3.9B16.4B24.A.A22.4B
11.BA.A140.4B64.4B$213.7BABA10B12.2B2AB7.B3AB2.11B16.4B24.AB21.4B15.A
141.4B64.4B$212.8B2A10B13.4B8.2ABAB.12B8.2A7.4B9.B.3BA5B2.2B21.4B16.
2A141.4B64.4B$211.20B14.6B6.3A15B7.A.A8.4B6.7B2A10B18.4B161.4B64.4B$
210.BA14BA3B12.9B6.B2A14B4.A3.BA10.4B3.7BAB3A8B2A16.4B163.4B64.3BA$
209.2A14BA3B12.11B5.16B3.3A4.2B2.4B2A6B2.11B2A7B2A15.4B165.4B64.ABAB$
208.2B2A13B3A13.12B4.11B2AB3A.A5.9BA7B2A11B2A7B.B15.4B167.4B64.2A2B$
207.20B14.13B3.11BA3B3A.A3.2A7BA2B2A4BABA.9BA7B17.4B169.4B64.4B$206.
20B11.A4.12B3.12B3A3B2A3.2A7BA2BA5BA4B32.4B171.4B64.4B$205.20B12.3A3.
4B2A6B.6B.8B.2B7.B.6BABA19BA7B15.4B173.4B64.4B$204.20B16.A.5B2A13B2.
7B4.2A7.6B2A19B2A7B.B11.4B175.4B64.4B$203.6BA13B16.A.A7BA11B4.5B6.A
24.11B2A7B2A9.4B177.4B64.4B$202.6BA13B17.2A6B2A12B4.4B5.A9.6B2A16BAB
3A8B2A8.4B179.4B64.4B$201.7B3A10B21.2B.2B2A5B2.6B4.5B3.2A5.B.6BABA18B
2A10B8.4B181.3BA64.4B$200.20B19.2A4.7B4.6B7.2A9.2A7BA2BA10B2.B.3BA5B
2.2B9.4B183.B2AB64.4B$199.20B20.A5.6B5.2BA3B7.A10.2A7BA2B2A9B16.AB7.
4B185.ABAB64.4B$198.ABA13BA3B23.A4.6B5.3A3B7.3A8.9BA9B.B16.A.A6.4B
187.4B64.4B$197.B2A3BABA8BABA23.2A4.5B5.B3A4B8.A10.2B2.4B2A3B.B20.2A
6.4B189.4B64.4B$196.3BA3B2A9B2A31.2B4.A.8BAB17.BA41.4B191.4B64.4B$
195.9BA10B31.2A4.ABA3BA3B3A2B15.A.A39.4B193.4B64.4B$194.20B32.A5.6BA
3B2ABAB.B14.2A38.3AB195.4B64.4B$193.20B34.A3.7BA3B2AB2AB2A52.3BA197.
4B64.4B$192.20B36.A.A3BA7B4A2B2A51.3BA199.4B64.4B$191.6BA13B38.2A.4BA
3BA8B51.4B201.4B64.4B$190.7BABA10B44.8B2A7B48.4B203.4B64.4B$189.8B2A
10B48.5BA3B3.2A47.4B205.4B64.4B$188.20B48.10B3.A47.4B207.4B64.4B$187.
BA14BA3B49.4B.5B4.3A43.4B209.4B64.3BA$186.2A14BA3B46.2A3.BA3.3B7.A42.
4B211.4B64.ABAB$185.2B2A13B3A47.A2.A.A.A54.4B213.4B64.2A2B$184.20B50.
2A.2A.A52.4B215.4B64.4B$183.20B57.A51.4B217.4B64.4B$182.20B58.2A49.4B
219.4B64.4B$181.20B109.4B221.4B64.4B$180.6BA13B109.4B223.4B64.4B$179.
6BA13B109.4B225.4B64.4B$178.7B3A10B109.4B227.3BA64.4B$177.20B109.4B
229.B2AB64.4B$176.20B109.4B231.ABAB64.4B$175.ABA13BA3B109.4B233.4B64.
4B$174.B2A3BABA8BABA109.4B235.4B64.4B$173.3BA3B2A9B2A109.4B237.4B64.
4B$172.9BA10B109.4B239.4B64.4B$171.20B109.4B241.4B64.4B$170.20B109.4B
243.4B64.4B$169.20B109.4B245.4B64.4B$168.6BA13B109.4B247.4B64.4B$167.
7BABA10B109.4B249.4B64.4B$166.8B2A10B109.4B251.4B64.4B$165.20B109.4B
253.4B64.4B$164.BA14BA3B109.4B255.4B64.3BA$163.2A14BA3B109.4B257.4B
64.ABAB$162.2B2A13B3A109.4B259.4B64.2A2B$161.20B109.4B261.4B64.4B$
160.20B109.4B263.4B64.4B$159.20B109.4B265.4B64.4B$158.20B109.4B267.4B
64.4B$157.6BA13B109.4B269.4B64.4B$156.6BA13B109.4B271.4B64.4B10.2A5.
2A$155.7B3A10B109.4B273.3BA64.4B7.2B2AB3.B2A2B$154.20B109.4B275.B2AB
64.4B6.4B5.4B$153.20B109.4B277.ABAB64.4B5.6B.6B$152.ABA13BA3B109.4B
279.4B64.4B4.6B.6B$151.B2A14BABA109.4B281.4B64.4B5.4B.4B$150.3BA14B2A
109.4B283.4B64.4B3.5B.5B$149.20B109.4B285.4B64.4B2.5B.5B$148.20B109.
3AB287.4B64.10B.6B$147.20B109.3BA289.4B64.6BA2B.2BA2B$146.20B109.3BA
291.4B64.4B3AB.B3A2B$145.6BA13B109.4B293.4B63.3B2ABAB.BAB2AB$144.7BAB
A10B109.4B295.4B61.9B.6B$143.8B2A10B109.4B297.4B59.10B.6B$142.20B109.
4B299.4B57.4B.4BAB.BA4B$141.BA14BA3B109.4B301.4B55.A3B2.4BAB.BA4B$
140.2A14BA3B109.4B303.4B53.A3B3.6B.6B$139.2B2A13B3A109.4B305.4B51.B3A
4.6B.6B$138.20B109.4B307.4B49.4B5.6B.6B$137.20B109.4B309.4B47.4B7.5B.
5B$136.20B109.4B311.4B45.4B7.6B.6B$135.20B109.4B313.4B43.4B9.5B.5B$
134.6BA13B109.4B315.4B41.4B10.5B.5B$133.6BA13B109.4B317.4B39.4B12.4B.
4B$132.7B3A10B109.4B319.3BA37.4B11.6B.6B$131.20B109.4B321.B2AB35.4B
12.6B.6B$130.20B109.4B323.ABAB33.4B13.4B5.4B$129.ABA13BA3B109.4B325.
4B31.4B14.2B2AB3.B2A2B$128.B2A3BABA8BABA109.4B327.4B29.4B17.2A5.2A$
127.3BA3B2A9B2A109.4B329.4B27.4B$126.9BA10B109.4B331.4B25.4B$125.20B
109.4B333.4B23.4B$124.20B109.4B335.4B21.4B$123.20B109.4B337.4B19.4B$
122.6BA13B109.4B339.4B17.4B$121.7BABA10B109.4B341.4B15.4B$120.8B2A10B
109.4B343.4B13.4B$119.20B109.4B345.4B11.4B$118.BA14BA3B109.4B347.4B9.
A3B$117.2A14BA3B109.4B349.4B7.A3B$116.2B2A13B3A109.4B351.4B5.B3A$115.
20B109.4B353.4B3.4B$114.20B109.4B355.4B.4B$113.20B109.4B357.7B$112.
20B109.4B359.5B$111.6BA13B109.4B353.3B.B.7BA5B.B3.4B$110.6BA13B109.4B
354.3B2A8B2A8B.4B$109.7B3A10B109.4B353.4BA2BA5BAB3A11B2A$108.20B109.
4B353.4B3AB2A8B2A10B2A$107.20B109.4B355.4BAB2A8B2A10B.B$106.ABA13BA3B
109.4B358.3BA10BA11B$105.B2A3BABA8BABA109.4B359.3B.B.3B$104.3BA3B2A9B
2A109.4B363.11BA11B$103.9BA10B109.4B362.B.11B2A10B.B$102.20B109.3AB
362.2A13B2A10B2A$101.20B109.3BA363.2A9BAB3A11B2A$100.20B109.3BA365.4B
.7B2A8B.4B$99.6BA13B109.4B366.4B3.B.3BA5B.B3.4B$98.7BABA10B109.4B$97.
8B2A10B109.4B$96.20B109.4B$95.BA14BA3B109.4B$94.2A14BA3B109.4B$93.2B
2A13B3A109.4B$92.20B109.4B$91.20B109.4B$90.20B109.4B$89.20B109.4B$88.
6BA13B109.4B$87.6BA13B109.4B$86.7B3A10B109.4B$85.20B109.4B$84.20B109.
4B$83.ABA13BA3B109.4B$82.B2A3BABA8BABA109.4B$81.3BA3B2A9B2A109.4B$80.
9BA10B109.4B$79.20B109.4B$78.20B109.4B$77.20B109.4B$76.6BA13B109.4B$
75.7BABA10B109.4B$74.8B2A10B109.4B$73.20B109.4B$72.BA14BA3B109.4B$71.
2A14BA3B109.4B$70.2B2A13B3A109.4B$69.20B109.4B$68.20B109.4B$67.20B
109.4B$66.20B109.4B$65.6BA13B109.4B$64.6BA13B109.4B$63.7B3A10B109.4B$
62.20B109.4B$61.20B109.4B$60.ABA13BA3B109.4B$59.B2A3BABA8BABA109.4B$
58.3BA3B2A9B2A109.4B$57.9BA10B109.4B$56.20B109.3AB$55.20B109.3BA$54.
20B109.3BA$53.6BA13B109.4B$52.7BABA10B109.4B$51.8B2A10B109.4B$50.20B
109.4B$49.BA14BA3B109.4B$48.2A14BA3B109.4B$47.2B2A13B3A109.4B$46.20B
109.4B$45.20B109.4B$44.20B109.4B$43.20B109.4B$42.6BA13B109.4B$41.6BA
13B109.4B$40.7B3A10B109.4B$39.20B109.4B$38.20B109.4B$37.ABA13BA3B109.
4B$36.B2A14BABA109.4B$35.3BA14B2A109.4B$34.20B109.4B$33.20B109.4B$32.
20B109.4B$31.20B109.4B$30.6BA13B109.4B$29.7BABA10B109.4B$28.8B2A10B
109.4B$27.20B109.4B$26.BA14BA3B109.4B$25.2A14BA3B109.4B$24.2B2A13B3A
109.4B$23.20B109.4B$15.A6.20B109.4B$14.A.A4.20B109.4B$15.A4.20B109.4B
$19.6BA13B109.4B$18.6BA13B109.4B$18.6B3A10B109.4B$18.18B109.4B$17.18B
109.4B$16.B4A9BA3B109.4B$16.A13BABA109.4B$15.A4BA9B2A109.4B$16.A3BA
10B109.4B$16.14B109.4B$16.5B2A6B109.4B$17.4B2A5B109.4B$9.A10.7B109.4B
$9.3A8.6B109.4B$12.A7.5B109.4B$11.2A6.5B109.4B$11.5B3.4B109.4B$13.3B
2.4B109.4B$3.2A7.9B109.4B$3.A8.8B109.4B$2A.A.B3.10B109.4B$A2.3AB.2B2A
7B108.4B$.2A2.BA3B2A7B107.4B$3.4A12B106.4B$3.A.2B3.7B.B2A103.4B$4.3AB
2.7B.BA.A101.4B$7.A4.4B5.A100.4B$2.5A5.4B5.2A98.4B$.A2.A8.4B103.4B$.
2A11.4B101.4B$15.4B99.4B$16.4B97.4B$17.4B95.4B$18.4B93.4B$19.4B91.4B$
20.4B89.4B$15.A5.4B87.4B$14.A.A5.4B85.4B$15.A7.4B83.4B$24.4B81.4B$25.
4B79.4B$26.4B77.4B$27.4B75.4B$28.4B73.4B$29.4B71.4B$30.4B69.4B$31.4B
67.4B$32.4B65.4B$33.4B63.4B$34.4B61.4B$35.4B59.4B$36.4B57.4B$37.4B55.
4B$38.4B53.4B$39.4B51.4B$40.4B49.4B$41.4B47.4B$42.4B45.4B$43.4B43.4B$
44.4B41.4B$45.4B39.4B$46.4B37.4B$47.4B35.4B$48.4B33.4B$49.4B31.4B$50.
4B29.4B$51.4B27.4B$52.4B25.4B$53.4B23.4B$54.4B21.4B$55.4B19.4B$56.4B
10.A6.4B$57.4B7.3A5.4B$58.4B5.A7.4B$59.4B4.2A5.4B$60.9B4.4B$61.6B5.4B
$61.8B2.4B$59.15B$59.14B$59.13B$57.2AB.10B$56.A.AB3.B2A3B$56.A6.B2A3B
$55.2A6.4B$64.3B$65.2B.BA$64.B2ABA.A$63.BABABA.A$61.A2.A.A.A.2A$61.4A
.2A2.A$65.A4.A.A$63.A.A5.2A$63.2A!

[Scorbie]

Okay, if one merely replaces the guns with rakes the infinite amplitude problem is solved!
Now the problem is that diagnonal rakes are pretty big (using corderships) How about using MWSSs instead of gliders and using orthogonal rakes?
Exploration is to be done.

[Entity Valkyrie 2]

P47 PRNG with fixed bottom (from "People's Republic of New GoLlia"):

Code: Select all

x = 1194, y = 793, rule = B3/S23
629bo7b2o$629b3o5b2o$623bo8bo$623b3o5b2o16b2o$626bo17b2o2bo2bo$625b2o
17bobo2b2o$647b2o$619bo28bo99bo3b2o$619b3o19bo6bob2o95bobo2bo$622bo16b
2ob2ob2obo2bo95bobo4bo$621b2o18bo3b2ob2o11b2o7bo77bob5o$630bo30b2o5b3o
79bo$629bo37bo8bo72bo3b2o5b2o$628b2o19b2o16b2o5b3o71bo4b2o5bo$616b2ob
2o7bo3b2o9b2o3bo2bo2b2o17bo74b2o8bobo$614bo2bob2o8b2o12bo5b2o2bobo17b
2o83b2o$614b2obo11b5o10b3o4b2o112b2o$617bo28bo4bo28bo72bobo9bo$617b2o
27bob2obo26b3o31bo7b2o30bo2bo7bobo$615b2o2bobo23b2obo2bob2o22bo34b3o5b
2o29bo11b2o$614bo2bo2b2o28b2ob2o22b2o27bo8bo28b2o4b2ob2o$615b2o16b2o
71b3o5b2o16b2o10b2o4b2o$633bo75bo17b2o2bo2bo13b2ob2o14b2o$627b2o5b3o
31bo39b2o10b2o5bobo2b2o17b3o5bo7bo$627b2o7bo18b2o10b3o9b2ob2o32b3o11b
2o20bo5bobo4bobo$656bo9b2ob2o8b2obo2bo16bo9bob2o2bo4bo7bo19bo4b2o2b2o
3b2o$653b3o9b3ob3o10bob2o16b3o6b5o4bo2bo7bob2o11b2o8b2ob2o$653bo12b2ob
2o11bo22bo5b2ob4o2bo2bo4b2obo2bo10bobo8b2ob2o$667b3o11b2o21b2o7b2o5b2o
6b2ob2o12bo12bo$668bo9bobo2b2o30b2ob2o24b2o$678b2o2bo2bo29bobobo47b2o$
643b2o7bo12b2o16b2o64bo17b2o$643bobo7b2o11bo32b2ob2o12b3o7b2o20bo$645b
o6b2o9b3o5b2o24bo2bob2o22bo3bo17b3o$629bo3b2o10b3o15bo7b2o24b2obo26b4o
$628bobo2bo14bo51bo$628bobo4bo9b3o52b2o27b2o5b2o15b2o$629bob5o9bo52b2o
2bobo24bo7bo14bobo8b2o$631bo8b2obobo51bo2bo2b2o25b3ob3o12bo2bo5b2o4bo$
630bo3b2o5bob2o53b2o16b2o14bobo14b4o5b2o3bo$629bo4b2o5bo74bo15bobo27bo
$629b2o8bobo68b2o5b3o13bo15b2o3bo3b5obo$639b2o69b2o7bo30bo2bobo2bo4bob
o$655b2o8bo63bo18bo4bobo4bo2bobo$655bo7bobo64b2o16b5obo4b2o3bo$656b3o
5b2o63b2o21bo$658bo82b2o5b2o3bo$625b2o115bo5b2o4bo$625b2o13b3o81b2o8b
3o5bobo8b2o$642bo5b2o73bobo8bo8b2o$641bo6bo74bo11bo$646bobo73b2o$635bo
b2o7b2o100bo$627b2o6bo3bo107b2obo$626bobo6bo3bo110bo6b2o$626bo9b3o36bo
bo47bo31b2o$625b2o49b2o47bobo6b2o$641b2o5b2o26bo48b2o8bo$640bob2o4b2o
85bobo11b3o$629b2o8b2obo93b2o11bo2bo$628bobo9b2o108b2o3b2o$628bo126bob
o$627b2o128bo$634b2o121b2o$633bobo8b2o88b2o$633bo5b2o4bo88b2o$632b2o5b
2o3bo43bo64b2o$643bo45bo23bobo30b2o5bobo$639b5obo41b3o23b2o30bo9bo$
639bo4bobo67bo40b2o$641bo2bobo102bo$640b2o3bo92b2o7b2obo$738bo4b2o5bo$
739bo3b2o5b2o$582b2o156bo$583bo154bob5o$583bobo68bo82bobo4bo$584b2o43b
3o20bo3bo80bobo2bo$604b5o19b5o18bo23b2o21b5o35bo3b2o$604bo4bo17b2ob3o
18bo4bo17b2ob3o18bo4bo$604bo23b2o21b5o19b5o18bo$605bo3bo66b3o20bo2bo
38bo3b2o$607bo132bobo2bo$740bobo4bo$741bob5o$595b2o146bo$595b2o145bo3b
2o5b2o$741bo4b2o5bo$741b2o7b2obo$752bo$597bo119bo40b2o$596b2o118b2o30b
o9bo$596bobo4b3o110bobo30b2o5bobo$603bo152b2o$604bo132b2o$737b2o$760b
2o$602b3o155bo$602bo155bobo$603bo149b2o3b2o$739b2o11bo2bo$738bobo11b3o
$608b2o118b2o8bo$608bobo5bo111bobo6b2o$608bo6b2o111bo31b2o$615bobo135b
o6b2o$750b2obo$751bo$725b2o$726bo11bo$726bobo8bo8b2o$727b2o8b3o5bobo8b
2o$745bo5b2o4bo$744b2o5b2o3bo$620b2o110b2o21bo$619b2o6b2o104b2o16b5obo
4b2o3bo$621bo5bobo102bo18bo4bobo4bo2bobo$627bo85b2o7bo30bo2bobo2bo4bob
o$713b2o5b3o13bo15b2o3bo3b5obo$719bo15bobo27bo$626b2o73b2o16b2o14bobo
14b4o5b2o3bo$626bobo71bo2bo2b2o25b3ob3o12bo2bo5b2o4bo$626bo74b2o2bobo
24bo7bo14bobo8b2o$703b2o27b2o5b2o15b2o$703bo$700b2obo26b4o$631b3o66bo
2bob2o22bo3bo17b3o$631bo7b2o61b2ob2o12b3o7b2o20bo$632bo5b2o112bo17b2o$
640bo77bobobo47b2o$718b2ob2o24b2o$707b2o7b2o5b2o6b2ob2o12bo12bo$638b2o
68bo5b2ob4o2bo2bo4b2obo2bo10bobo8b2ob2o$637b2o66b3o6b5o4bo2bo7bob2o11b
2o8b2ob2o$639bo65bo9bob2o2bo4bo7bo19bo4b2o2b2o3b2o$719b3o11b2o20bo5bob
o4bobo$711b2o10b2o5bobo2b2o17b3o5bo7bo$644bo67bo17b2o2bo2bo13b2ob2o14b
2o$643b2o64b3o5b2o16b2o10b2o4b2o$643bobo4b3o56bo8bo28b2o4b2ob2o$650bo
64b3o5b2o29bo11b2o$651bo63bo7b2o30bo2bo7bobo$756bobo9bo$768b2o$761b2o$
751b2o8bobo$751bo4b2o5bo$752bo3b2o5b2o$753bo$655b2o94bob5o$655bobo5bo
86bobo4bo$655bo6b2o86bobo2bo$662bobo86bo3b2o9$667b2o$666b2o6b2o$668bo
5bobo$674bo9$678b3o$678bo7b2o$679bo5b2o$687bo3$685b2o$684b2o$686bo3$
691bo$690b2o$690bobo4b3o$697bo$698bo3$696b3o$696bo$697bo3$702b2o$702bo
bo5bo$702bo6b2o$709bobo9$714b2o$713b2o6b2o$715bo5bobo$721bo3$720b2o$
720bobo$720bo4$725b3o$725bo7b2o$726bo5b2o$734bo3$704bo3b2o$703bobo2bo$
703bobo4bo$704bob5o$706bo$705bo3b2o5b2o20bo$688b2o3bo10bo4b2o5bo20b2o$
689bo2bobo9b2o8bobo20bobo4b3o$687bo4bobo19b2o28bo$687b5obo27b2o22bo$
691bo16b3o10bo$680b2o5b2o3bo14bo3bo7bobo$681bo5b2o4bo25b2o22b3o$681bob
o8b2o6b2o5bo2bo32bo$682b2o16b2o42bo$675b2o31bobo4bo7b2o$676bo10b3o18bo
bo2bo3bo5bo$676bobo6bob2o3b2o15bo2bo8bobo25b2o$677b2o10b5o17bo5bo3b2o
26bobo5bo$694b4o4b2o7bo3b2o32bo6b2o$691b3ob3o3bobo7bo3bo40bobo$673b2o
14b2ob2o7bo10bo$674bo7bo6b3o8b2o11b3o$674bobo4bobo6bo32b2o$675b2o4bo2b
o38b2o$682b3o9b2o9bo$694bobo6b2o$696bo7b2o$696b2o$673b2o16bo17b2o50b2o
$673b2o17bo15bobo8b2o39b2o6b2o$690b3o15bo5b2o4bo41bo5bobo$707b2o5b2o3b
o48bo$718bo$714b5obo$687b2o25bo4bobo45b2o$677b2o8bobo26bo2bobo45bobo$
677bo4b2o5bo25b2o3bo46bo$678bo3b2o5b2o$679bo28b2o$677bob5o23b2o$676bob
o4bo25bo8bo7b2o44b3o$676bobo2bo36b3o5b2o44bo7b2o$677bo3b2o38bo51bo5b2o
$720b2o16b2o41bo$733b2o2bo2bo$733bobo2b2o$736b2o$708bo28bo$708b3o26bob
2o$711bo22b2obo2bo$710b2o22b2ob2o$785bo$719b3o62b2o$718bo3bo61bobo4b3o
$705b2ob2o7bo5bo8b2o57bo$703bo2bob2o6bo3bo3bo7bo59bo$703b2obo9bo2bobo
2bo8b3o$706bo9bo3bo3bo10bo$706b2o9bo5bo$671bo7b2o23b2o2bobo7bo9b2o$
671b3o5b2o22bo2bo2b2o8bo3bo4bo$665bo8bo29b2o17bo5b3o$665b3o5b2o16b2o
29bo8bo$668bo17b2o2bo2bo22b2o5b3o70b2o$667b2o17bobo2b2o14bo3b2o3b2o7bo
70bobo5bo$689b2o5bobo7bobo2bo84bo6b2o$661bo21b2o5bo8bo6bobo4bo89bobo$
661b3o18b6o2bob2o5bo7bob5o$664bo16b2obobobobo2bo2bo2bo9bo$663b2o17b2ob
2obob2o5b3o8bo3b2o5b2o$671bo11bo3bo19bo4b2o5bo248bo3b2o$670b2o35b2o8bo
bo247bobo2bo$669bobo45b2o248bobo4bo$658b2ob2o6b3o13b2o37b2o242bob5o$
656bo2bob2o6b2ob2o11bo38bo245bo$656b2obo11bo2bo11b3o33bobo83b2o159bo3b
2o5b2o$659bo12bobo13bo33b2o83b2o6b2o135b2o3bo10bo4b2o5bo$659b2o12bo29b
2o104bo5bobo135bo2bobo9b2o8bobo$657b2o2bobo39b2o110bo135bo4bobo19b2o$
656bo2bo2b2o54b3o5b2o223b5obo27b2o$657b2o16b2o40bo8bo228bo17bobo9bo$
675bo41bo2bo3bobo217b2o5b2o3bo15bo2bo7bobo$669b2o5b3o36b2o3bo3b2o219bo
5b2o4bo13bo11b2o$669b2o7bo26b2o7bo4bo225bobo8b2o6b2o4b2ob2o$704bobo7bo
3bobo225b2o16b2o4b2o$704bo9bo4bo219b2o11bo15b2ob2o14b2o$703b2o10b2o4bo
218bo10b4o16b3o5bo7bo$717bo3bo4b2o91b3o118bobo7bobob2o16bo5bobo4bobo$
717bo3bo4b2o91bo7b2o112b2o6b2o3bobo14bo4b2o2b2o3b2o$718b3o99bo5b2o121b
o6b2o2b2o4b2o8b2ob2o$673bo3b2o149bo123bobobo3b2o3bobo8b2ob2o$672bobo2b
o18bo240b2o11b2ob3o9bo12bo$672bobo4bo14bobo241bo7bo7bo9b2o$673bob5o15b
2o15b2o112b2o110bobo5bo40b2o$675bo35bobo8b2o101b2o112b2o5bobo20bo17b2o
$674bo3b2o5b2o15bo8bo5b2o4bo103bo119b2o9b2o8bo$673bo4b2o5bo14b2o8b2o5b
2o3bo235bobo7b3o$673b2o8bobo5b2o8b2o18bo238bo$683b2o5bobo24b5obo108bo
127b2o$475b2o215bo24bo4bobo106b2o104b2o14bobo17b2o$468b2o4bobo242bo2bo
bo106bobo4b3o96b2o15b2o16bobo8b2o$130bo3b2o332b2o4bo243b2o3bo114bo115b
o17bo5b2o4bo$129bobo2bo338b2o203b3o158bo131b2o5b2o3bo$129bobo4bo335bo
196b2o5b2o304bo$130bob5o335b3o194b2o8b2ob2o294b5obo$132bo342bo216b2o
257b2o25bo4bobo$131bo3b2o5b2o330b2o199bobo4b2o8bo248b2o8bobo26bo2bobo$
130bo4b2o5bo532bobo12bobo248bo4b2o5bo25b2o3bo$130b2o8bobo533b2o12b2o
250bo3b2o5b2o101bo3b2o$140b2o529b2o3b2o265bo111bobo2bo$147b2o521bobo
170b2o96bob5o24b3o80bobo4bo$134b3o10bo522bo172bobo5bo88bobo4bo24bo9bo
7b2o64bob5o$130b2o3b2obo6bobo521b2o27bobo142bo6b2o88bobo2bo27bo8b3o5b
2o66bo$130b5o10b2o545b2o3bo152bobo88bo3b2o38bo71bo3b2o5b2o$126b4o35bo
7b2o509b2o6b2o3bo286b2o16b2o52bo4b2o5bo$126b3ob3o32b3o5b2o206b2o290b2o
22bo2bo296b2o2bo2bo51b2o8bobo$130b2ob2o14b2o8bo8bo211bobo289bobo6bo15b
3o297bobo2b2o62b2o$100bo7b2o22b3o6bo7bo9b3o5b2o16b2o187b2o4bo291bo7b2o
318b2o71b2o$100b3o5b2o23bo6bobo4bobo12bo17b2o2bo2bo184bo2bo2b2ob4o286b
2o299bo28bo71bo$94bo8bo35bo2bo4b2o12b2o17bobo2b2o185b2obobobobo2bo293b
obo291b3o26bob2o15bo7b2o41bobo$94b3o5b2o16b2o6b2o9b3o41b2o190bobobobo
295bob2o7b2o285bo22b2obo2bo15b3o5b2o31b2o8b2o$97bo17b2o2bo2bo4bobo25bo
28bo190bobob2o296bo6bo4bo284b2o22b2ob2o11bo8bo28b2o6bobo$96b2o17bobo2b
2o5bo27b3o9b2o15bob2o188bo299b2o5b2o3bo166b2o157b3o5b2o16b2o10b2o5bo4b
o$118b2o6b2o30bo7bo2b2o10b2obo2bo499bo166b2o6b2o153bo17b2o2bo2bo16bo3b
ob2o8b2o$90bo28bo12bo16b2o6b2o8bo2bo10b2ob2o203b2o292b5obo166bo5bobo
119bo31b2o17bobo2b2o16b2o5bo9bo$90b3o26bob2o8bo17b2o17b3o209b2o7bo293b
o4bobo171bo106b2ob2o9b3o10b2o40b2o18bo5bo8bobo$93bo22b2obo2bo8b3o246b
2o5bobo295bo2bobo276bo2bob2o8b2ob2o9bo13bo28bo19b3o11b2o$92b2o22b2ob2o
39b2o225b2o295b2o3bo277b2obo10b3ob3o9b3o10b3o9bo16bob2o11b2o$152b2ob2o
2bo2bo16b2o680b2o107bo11b2ob2o12bo13bo8b2o12b2obo2bo10bobo$150bo2bob2o
2bo2bo16bo446bo234bobo106b2o11b3o26b2o10bo11b2ob2o12bo$102bo32b2o13b2o
bo8bo3bo13b3o443b3o140bo91bo73bo7b2o23b2o2bobo9bo7b2o29b2o27b2o$87b2ob
2o9bobo10b2o18bobo8b2o6bo8bob2ob2o6bo6bo446bo137b3o165b3o5b2o22bo2bo2b
2o17bo23b3o56b2o$85bo2bob2o8bo3bo9bo19bo5b2o4bo6b2o10b3o8bo451b2o136bo
162bo8bo29b2o16b2o5b3o20b4o46b3o6b2o$85b2obo11bo3bo10b3o15b2o5b2o3bo5b
2o2bobo7b2o7b3o368bo220b2o161b3o5b2o16b2o29bo8bo11b2ob2o2bo2bob2o13b2o
$88bo11bo3bo12bo26bo5bo2bo2b2o7b2o210b2o166b3o257bo60b3o63bo17b2o2bo2b
o22b2o5b3o15bo2bob2o2bobo2b2o13bo3bo25bo3bo$88b2o11bobo36b5obo4b2o16b
2o207bo169bo256b3o58bo7b2o55b2o17bobo2b2o5b2o7bo3b2o3b2o7bo15b2obo8b2o
2bo7bo5b4o25bo$86b2o2bobo9bo37bo4bobo21bo205b3o169b2o149b2o108bo58bo5b
2o78b2o7b3o5bobo2bo32bo6bobobobo8bo33bo$85bo2bo2b2o49bo2bobo14bobo5b3o
202bo322b3o106b2o66bo49bo28bo6bob2o5bobo4bo30b2o5bo5bo6b3o6b2o5b2o15b
2o5bo$86b2o16b2o35b2o3bo16b2o7bo524bob2o224b3o19bo6bob2o3b3o7bob5o28b
2o2bobo4b3o17bo7bo14bobo2bo5b2o$104bo592b3o228bo16b2ob2ob2obo2bo4bo10b
o31bo2bo2b2o4b3o18b3ob3o12bo2bo4bo6bo$98b2o5b3o590b2o173b2o52b2o18bo3b
2ob2o16bo3b2o5b2o21b2o16b2o14bobo14b4o5b3o2bo$98b2o7bo77b2o67bo2bo21b
2o67bo2bo90bo2bo21b2o67bo2bo90bo2bo115b2o121b2o62bo34bo4b2o5bo40bo15bo
bo27bo$139b2o43b4o20b4o21b2o23bo19b4o20b4o46bo68b2o23bo19b4o20b4o46bo
43b4o21b2o23bo43b4o21b2o43b4o114b4o4bo60bo35b2o8bobo34b2o5b3o13bo15b2o
3bo3b5obo$137b2ob2o42b2ob2o18bo3bo19b2ob2o18bo3bo19b2ob2o18bo3bo42bo3b
o66b2ob2o18bo3bo19b2ob2o18bo3bo42bo3bo42bo3bo19b2ob2o18bo3bo42bo3bo19b
2ob2o42b2ob2o112bo3bo64b2o45b2o35b2o7bo30bo2bobo2bo4bobo$104b2o7bo23b
4o45b2o23bo19b4o20b4o21b2o23bo43b4o66b4o20b4o21b2o23bo43b4o46bo19b4o
20b4o46bo19b4o45b2o117bo52b2ob2o7bo3b2o9b2o37b2o66bo4bobo4bo2bobo$104b
2o5b3o24b2o67bo2bo21b2o67bo2bo115b2o67bo2bo90bo2bo21b2o67bo2bo21b2o
161bo2bo10bo40bo2bob2o8b2o12bo38bo67b5obo4b2o3bo$110bo767b2o40b2obo11b
5o10b3o33bobo71bo$92b2o16b2o766bobo4b3o35bo28bo33b2o55bo5b2o5b2o3bo$
91bo2bo2b2o50bo3b2o36bo7b2o154b2o528bo37b2o42b2o72b2o7bo5b2o4bo$92b2o
2bobo49bobo2bo37b3o5b2o155bo360bo168bo34b2o2bobo39b2o63b2o8b2o6bobo8b
2o$94b2o11b2o39bobo4bo38bo158b3o361b3o200bo2bo2b2o62b2o39bobo17b2o$94b
o9bo4b2o12bo25bob5o37b2o16b2o140bo366bo200b2o16b2o42bo6bo40bo$91b2obo
9bo2b4o10b3o27bo18b2o34b2o2bo2bo505b2o163b3o52bo42b3o3bobo39b2o$91bo2b
ob2o5bo16bo29bo3b2o5b2o8b2o33bobo2b2o32bo638bo48b2o5b3o38b5ob3o$93b2ob
2o5bobo15bo27bo4b2o5bo8bo38b2o33b3o638bo47b2o7bo26b2o9b2o3b3o$103bobo
12bob2o27b2o8bobo19bo17b2obo7bo32b2obo721bobo8b3o3b3o77b2o$117b2o40b2o
20b3o6b2o8bobo7bob2o29b3o722bo11b2o3b2o63bo14b2o$105bobo76bo6b2o2bo6bo
4b2obo2bo30b2o644b2o75b2o12b5o56b2o6b2o$98b2o5bobo15bob2o56b2o7b4o11b
2ob2o678bobo5bo83b3o5b2o49bobo5bo2bo$99bo15bo6b2obo2bo64b2o501bobo191b
o6b2o84bo6b2o38bo8b3obobo6bo$96b3o16bo9bob2o23b3o38b2ob2o501bo28b2o
167bobo130bobo5bo5b2o3b2o2b2o$96bo28bo19b2o4bo3bo39b3o501bo27b2o208bo
3b2o15bo71b2o6b2o9b2o4bo7b2o$124b2o19b2o4bo3bo22b2ob2o22b2o452bo36bo2b
o29bo206bobo2bo17b2o88bobo2b3o6bobo$102b2o17bobo2b2o23bo4b2o10b2o6bo2b
ob2o22bo453b3o35b3o197bo38bobo4bo14b2o89b2o4bo9bo$103bo17b2o2bo2bo24bo
4bo9bo7b2obo26b3o453bo233b2o39bob5o32b2o71bo3b2o10b2o$100b3o5b2o16b2o
24bobo3bo7bobo10bo28bo452b2o233bobo40bo26bo8bobo8b2o54b2o3b3o2bo$100bo
8bo43bo4bo7b2o11b2o757bo3b2o5b2o14bo9bo5b2o4bo54b2o4bobobo$106b3o5b2o
31b2o3bo3b2o19b2o2bobo17b2o734bo4b2o5bo15b3o6b2o5b2o3bo62b3o9b2o$106bo
7b2o30bobo3bo2bo20bo2bo2b2o17bo176b2o7bo16b2o531b2o8bobo35bo64bo10bobo
$146bo8bo21b2o16b2o5b3o173b2o5b3o17bo496b2o43b2o5b2o25b5obo75bo$145b2o
5b3o40bo8bo179bo8bo8b3o28b2o466b2o6b2o44b2o24bo4bobo74b2o$168b2o19b2o
5b3o167b2o16b2o5b3o8bo30bo66b2o225b3o173bo5bobo42bo28bo2bobo29bobo35b
2o$168b2o19b2o7bo166bo2bo2b2o17bo44bo64b2o227bo179bo72b2o3bo30b2o26b2o
8bobo$149b2o196b2o17b2o2bobo17b2o23b2o14b5o292bo214bo75bo26bo4b2o5bo$
148bobo195bobo19b2o46bo13bo502b2o7b2o103bo3b2o5b2o$148bo191b2o4bo21bo
28bo18bobo12b3o19b2o51b2o400b2o23b2o6b2o3bo101bo$147b2o189bo2bo2b2ob4o
14b2obo26b3o19b2o15bo19bo51b2o400bobo29b3obobo9b2o88bob5o$154b2o182b2o
bobobobo2bo14bo2bob2o22bo36b4o19bobo45b2o404bo31bob5o9bo88bobo4bo$153b
obo8b2o175bobobobo19b2ob2o22b2o30b2o3bo3b2o18b2o45b2o435bo2b2o10bobo
88bobo2bo$153bo5b2o4bo175bobob2o79b2o4b3o2bo25bo476b2o12b2o90bo3b2o$
152b2o5b2o3bo177bo91bob2o24bobo16b2o452b2o$163bo220b3o47bo27bobo16b2o
430b3o18bobo$159b5obo189b2o15b2o9bo3bo8b2ob2o32b2o28bo43b2o207bo196bo
7b2o11bo26b2o44bo$159bo4bobo179b2o7bo17bo8bo5bo7b2obo2bo104b2o207b2o
34bo161bo5b2o11b2o25b3o43bo$161bo2bobo179b2o5bobo14b3o9bo5bo10bob2o
312bobo33b2o169bo33b2o2b2obo42b3o28bo3b2o$160b2o3bo14b2o171b2o15bo11bo
5bo10bo25b2o324bobo194bo7b2o3b3o72bobo2bo$179bobo201bo3bo10b2o25bo511b
2o8b3o12bo73bobo4bo$173b2o4bo204b3o8bobo2b2o24b3o491b2o14bobo7bob2o87b
ob5o$171bo2bo2b2ob4o211b2o2bo2bo25bo10b2o478b2o15bo8b3o91bo$171b2obobo
bobo2bo198b2o16b2o38bo480bo13b2o9b2o90bo3b2o5b2o$174bobobobo202bo54bo
26bo476b2o3b2o88bo4b2o5bo$174bobob2o200b3o5b2o48b5o14b2o5bobo474bobo2b
2ob2ob2o83b2o8bobo$175bo167b2o35bo7b2o53bo13bo7b2o459bo14bo4bo2b3obo
93b2o$344bo95b3o12bobo467b2o13b2o5b2o3bo101b2o$188b2o151b3o95bo15b2o
468bobo4b3o16bo44bo57bo$179b2o7bo152bo97b4o249b2o238bo14b5obo40b2o56bo
bo$179b2o5bobo248b2o3bo3b2o244bobo238bo13bo4bobo40b2o55b2o$186b2o173b
2o73bo2b3o4b2o244bo256bo2bobo49bo7b2o19b2o$360bo2bo72b2obo47b2o459b2o
3bo50b3o5b2o19b2o8b2o$273bo11b2o29bo47bo74bo46bobo442b3o64bo8bo33b2ob
2o10b2o$245bo26bobo10b2o29b3o45b2o73b2o45bo444bo66b3o5b2o16b2o15b2o3bo
9bo$244b3o17bo3b2o2bobo44bo45b2o118b2o445bo68bo17b2o2bo2bo14bo12bobo
30b2o7bo$244bob2o2bo12bobo2bo2b2ob2o42b2o41b2ob2o634b2o17bobo2b2o15bob
o10b2o31b2o5b3o$245b3o2b3o10bobo3bobo88bo3bo22b2o58b2o297bo3b2o257bo
12b2o11b2o4bobo49bo8bo$176b2o67b2o6bo10bob4o2bob2o85b2o24bo60bo296bobo
2bo186b2o55bo13bob2o11bo10bobo38b2o16b2o5b3o$177bo74b2o12bo3bobob2o86b
o22bobo57b3o297bobo4bo184bobo5bo16bobo29b3o11bo2b2o10bob2o7bo39bo2bo2b
2o17bo$174b3o88bo3bobo112bobo58bo300bob5o184bo6b2o15bo21bo13bo11b5o6b
2obo2bo6b2o40b2o2bobo17b2o$174bo89bo3bobo95b2o12b2o3bo318b2o42bo26b2o
167bobo14bo21bobo10b2o11b2o2b2o5b2ob2o31b2o19b2o$67bo2b2o192b2o3bo96bo
bo11b2o113b2o135b2o63b2o4b2o42bo3b2o5b2o14b2o185bo2bo18b2o25b2o44b2o
19bo28bo$67b4obo255b2o31b2o3bo128b2o7b2o126bo22bo7b2o33b2o5bo40bo4b2o
5bo17bo184b3o35bo10bo37bo25b2obo26b3o$72bo24b2o11bo210b2o5bobo31bo141b
o129bo20b3o4bo2bo31bo48b2o8bobo185bo50b2ob3o9b3o35bo25bo2bob2o12b3o7bo
$65b7ob2o22b2o10bobo209b2o7bo28b3o140bobo109b2o14b5o14bo8bo6bo90b2o
185b2o46b2obob4obo16b2o27bobo26b2ob2o11bo10b2o$64bo6bobo2bo32bobo2b2o
3bo157b2o51b2o27bo142b2o111bo13bo19b3o5b2o3bo12b2o86b2o178bobo43bo2bob
o2bo2b3o15bo29bo43b2o$64b2o2b2obo3b2o31b2ob2o2bo2bobo7b2o147b2o336bobo
12b3o19bo9bo3bo3b2o2bo2bo85bo225b2obo2b2o3b2o17b3o20b2o4bo49b2o$59b2o
7b2ob2o39bobo3bobo7b2o162b2o23bo298b2o15bo17b2o8bo8bobo2b2o84bobo228bo
2b2o24bo19bobo8b2o42bo2b2o$59bo48b2obo2b4obo111bo59bo2bo21bobob2o190bo
117b4o26bo2bobo7b2o86b2o229b2obo45bo5b2o4bo27b2o13bo4bo3b2ob2o$61bo46b
2obobo3bo112bobo59b2obo20bobobobo91b2o96b3o110b2o3bo3b2o9bo14bo2bobo8b
o67b2o205b2o39b2o2bobo43b2o5b2o3bo29bo14bo2b3o2b2obo2bo$57b5o50bobo3bo
111bobo62bo17b2obobobobo2bo87bobo41b2o3b2o51bo109b2o4b3o2bo8b3o12bobo
2bobo6bob2o64b2o13bobo188b2o6b2o31bo2bo2b2o54bo27b3o6bo7bo4bo6bob2o$
57bo13bo41bobo3bo111bo13bo49b2o16bo2bo2b2ob4o81b2o4bo43b2o3b2o50b2o8b
2o107bob2o11bo16bo2bo2b2obo2bo78bo2bo5b2o83b2o3bo10bo3b2o78bo5bobo12bo
bo16b2o16b2o6bobo28b5obo25bo6b2o7b3ob3o6bo$35b2o11b2o10b4o6bobo41bo3b
2o123b2o35b2o33b2o4bo56b2o25bo2bo2b2ob4o106bo108bo13b2o17b2o3b2ob2o19b
2o18b3o38bo8bo85bo2bobo8bobo2bo85bo14b2o35bo8b2o28bo4bobo32b2o7bo3bo6b
2o$34bo2b2o7b2o2bo9bo2bo6bobo169b2o37bo39bobo48b2o3b2o26b2obobobobo2bo
104bobo18bo11b2o75b2o32b2o28bo18bo47bobo83bo4bobo8bobo4bo99bo29b2o5b3o
5bo31bo2bobo42b3o4bobo2b2o$33b6o7b6o3b2o14bo169bo11bo24b3o41b2o48b2o5b
o28bobobobo35b2o70b2o18bobo10b2o136b3o20bo37b2o4bo2b2o84b5obo10bob5o
129b2o7bo36b2o3bo44bo5b2o2bo2bo$33bo5b3ob3o5bo4bo185b5o5b2o11b2o11bo
129bobob2o37bo56b2o32bobo113b2o33bo50b2o9bobo2bo92bo14bo86b2o67bobo64b
2o16b2o$32b2o5b3ob3o5b2o3bobob2o43b2o136bo21bo143bo41bobo54b2o26b2o2b
3ob2o78b2o16b2ob2o10b2obo8b2o72bobo5b2ob2o2bob2o80b2o5b2o3bo12bo3b2o5b
2o75bobo66b2o66bo$32b3o15b3o4b2ob2o3bo21b2o16b2o159b3o183b2o82bo2bo84b
o15bo2bob2o11bo2bo7bo73bo11b2o2b2o82bo5b2o4bo10bo4b2o5bo17bo58bo47b2o
20bo63b3o5b2o$33bob3o9b3obo12bobo20bo2b2o176bo153b2o110bobo3b3ob2o79b
3o12b2obo15b2o9b3o69b2o10b2ob4o82bobo8b2o10b2o8bobo16b2o81b4o20b4o43b
2o38bo7b2o$34b3o11b3o14bo22b2o2bo320b2o7bo111b2o6bob2o81bo15bo28bo83b
2o7b2o77b2o30b2o17bobo80bo3bo18b2ob2o42b2ob2o$35bo13bo41bo321b2o5bobo
75bo9b2o133b2o111bo8b2o70b2o44b2o93bo23b2o45b4o$88b3o46b2o281b2o75bobo
8b2o131b2o2bobo85bo23b2o79bo9bobo20b2o10bo76b3o16bo2bo67b2o43bo7b2o$
71b2o14bo49b2o358bobo89b2o49bo2bo2b2o85b3o22bo79bobo7bo2bo16b2ob2o8bob
o76bo59b2o73b3o5b2o$71bo15b2o13b2o394bo90b2o50b2o16b2o67bo7bo21bo80b2o
11bo15b2o3bo7b2o78bo58bobo75bo$35bo13bo22b3o27bo286b3o63b2o202bo67b2o
6b2o112b2ob2o4b2o2b2o3bo3b2o147bo9bo7b2o16bo3b2o35b2o16b2o$34b3o11b3o
23bo28b3o283bo66bo196b2o5b3o64bobo21b2o99b2o4b2o2b2o4b2obob2o155b3o5b
2o15bobo2bo30b2o9bo7b2o2bo2bo$33bob3o9b3obo29bo23bo10b2o176bo95bo62b3o
28b2o3b2o41b2o13b2o104b2o7bo11bo75bobo8b2o72b2o14b2ob2o12b2o4bo10b2o
146bo21bobo4bo28bobo8bo7bobo2b2o$32b3o15b3o27bobo32bobo104bo70bobo157b
o31bo3b2o7b2o5b2o25b2o13b2o16b2o105b3o75bo5b2o4bo73bo7bo5b3o23bo8bo81b
2o63b2o16b2o4bob5o28bo11b2o8b2o$32b2o5b3ob3o5b2o20b2ob2o3bo33bo106b3o
68bobo114b2o70b3o13b2o6bo55b2o2bo104bo67bo7b2obo5b2o3bo74bobo4bobo5bo
24b2o5bobo80b2o77b2o2bo2bo5bo26bo13bob5o8bo$33bo5b3ob3o5bo19bo2bob2o
36b2o109bo65b3ob2o114bo70bo23bobo52bo2b2o87b2o7bo8b2o66bobo4bobob2o8bo
76b2o3b2o2b2o4bo30b2o83bo76bobo2b2o5bo3b2o5b2o6b2o7b3o12b3o3bo7bob2o$
33b6o7b6o19b2o151b2o64bo23bo93b3o96b2o53bo90b2o5b3o76b2o5bo9b5obo80b2o
b2o8b2o6b2o9b3o170b2o6bo4b2o5bo6bobo10bo12bo2bo2bo3b2obo2bo$34bo2b2o7b
2o2bo36bo203b3ob2o17b3o91bo154b3o93bo84b3o9bo4bobo79b2ob2o8bobo4bobo
154bo28bo6b2o8bobo8bo9b2o15bo6b2ob2o$15bo7b2o10b2o11b2o26bo2bo6bobo30b
ob2o170bob2o20bo248bo74b2o16b2o82bo14bo2bobo81bo12bo4bo109bo46b3o26bob
2o13b2o38b2o$15b3o5b2o51b4o6bobo28b3ob2o193b2o232b2o13b2o73bo2bo2b2o
71b2o7bo6b2o7b3o10b2o3bo95b2o2b2o6bo101b2o49bo22b2obo2bo44b3o$9bo8bo
54bo13bo28bo351b2o64b2o15bo51b2o36b2o2bobo71b2o5b3o7b2o8bo88b2o31b2o
15b2o85bobo47b2o22b2ob2o46b3o$9b3o5b2o54b5o39b3ob2o165b2o112bo65b2o64b
obo11b3o52bobo37b2o80bo9bo10bobo86b2o17bo14b2o14b2o195b2ob2o9bo3bo8b2o
$12bo17b2o2b2ob2o38bo41bobo167bo111b2o133bo4b2o5bo56bo37bo28bo34b2o16b
2o20b2o106bo176bo47bo2bob2o10b2o2bo7bo$11b2o17bobo2bobo37bo43bobo112b
2o53bobo109bobo128b4ob2o2bo2bo60b2o33b2obo26b3o33bo2bo2b2o139b3o175b3o
18b2o26b2obo13b4o9b3o$33b2o2bo37b2o7b2ob2o31bo106b2o5bobo42bo10b2o3b2o
235bo2bobobobob2o95bo2bob2o22bo37b2o2bobo303b2ob2o8b5o9b2o6b2o6bo22bo
15bo12bo$5bo28bobo20b2o21b2o2b2obo3b2o134b2o7bo40b3o13b2o122b2o111b2o
3bobobobo100b2ob2o11b3o8b2o38b2o267b3o34bo2bob2o7b2o3b2o8bo14b3o13b2o
6b2o$5b3o26bob2o18bo2bo20bo6bobo2bo143b2o38bo16bo5bo26b2o89bo111bo6b2o
bobo33b2o27b2o55bo47bo28bo110b2o20b2o105bo36b2obo9b3o3b3o8b3o10b5o12bo
5b2o2bobo17b2o$8bo22b2obo2bo21b2o20b7ob2o185b2o15bo25b2o5bobo90bo109bo
10bo27b2o5bobo21b2o2bo2bo51bo2bo44b2obo26b3o100b2o8bobo18bobo8b2o96bo
38bo10b2o3b2o11bo9b2o3b2o9bobo4bo2bo2b2o17bo$7b2o22b2ob2o17bo5b3o26bo
134bo37b2o35bob3o8b2o6b2o7bo70b2o14b5o104bob2ob2o37b2o7bo21bobo2b2o52b
o2bo44bo2bob2o22bo103bo4b2o5bo9b2o7bo5b2o4bo135b2o10b5o23b5o10b2o6b2o
16b2o5b3o$16bobo33bobo3bo2bo21b4obo133bobob2o34bo34bobo2bo8b2o15b2o70b
o13bo26bo82b2obo49b2o5b2o16b2o43b2o10b2o4bo5b2ob2o32b2ob2o22b2o18bo7b
2o75bo3b2o5b2o7bobo6b2o5b2o3bo134b2o2bobo8b3o6b2o12b2o3b3o37bo8bo$15bo
bobo33b2o3b3o22bo2b2o134bobobobo33bob2o28b2obobob2o97bobo12b3o23b3o83b
o7b2o48bo17bo44bo5bo9b3o4b2obo2bo77b3o5b2o76bo18bo19bo103b2o29bo2bo2b
2o9b3o5bo12bobo4bo32b2o5b3o$19b2o198b2obobobobo2bo31bo2bo48bo85b2o15bo
25bo82bobo5b2o27bo17b3o15bo2bob2o38b3o6bobo6bo2bo7bob2o38b2o40bo80bob
5o13b2o15b5obo101bobo29b2o16b2o5b3o9bo39b2o7bo$2b2ob2o6bo5bo2bo6b2o22b
2o3b3o158bo2bo2b2ob4o32b2o32b3o13bobob2o86b2o7b4o24b2o65b2o16b2o33bobo
b2o13bo16bobob2obo38bo8b2o7b3o8bo56b2o24b2o16b2o61bobo4bo30bo4bobo100b
o49bo8bo8b2o55b2o3bo$o2bob2o5bo4bo4bo6bo15b2o5bobo3bo2bo159b2o4bo51b2o
8bo24bobobobo84bobo2b2o3bo3b2o88bobo51bobobobo30bobo61bo8b2o38b2o16b2o
4b2ob2o9b2o17b2o2bo2bo44b2o14bobo2bo34bo2bobo144b2o5b3o37b2o33bo2bobo$
2obo7b3o3bo4b2o6b3o12b2o6bo5b3o165bobo49b2o6b2o22b2obobobobo2bo83bo2b
2o4b3o2bo87bo50b2obobobobo2bo28bo2b2o45b2o17bobo2b2o37bo10b2o3bobo4b2o
bo2bob2o3b2o10bo7bobo2b2o44b2o16bo3b2o32b2o3bo145b2o7bo37b2o31bo4bobo$
3bo7bo2bo17bo26b2o54bobo110b2o58b2o21bo2bo2b2ob4o94bob2o86b2o7b2o41bo
2bo2b2ob4o29b2ob3o44bo17b2o2bo2bo33b3o10bob2o12bob2obo6bo8bo3bo7b2o48b
o232b2o50b5obo$3b2o10bo2bo37bo2bo55b2o196b2o4bo98bo98b2o43b2o4bo39bo
40b3o5b2o16b2o34bo12bobo13bo4bo19bo8bo216bo63bobo54bo$b2o2bobo9bo26b3o
10b2o57bo35bo3b2o161bobo95b2o149bobo31b2ob3o41bo8bo66bo13b2o4b3o18bo7b
ob2o212b2o63bo45b2o5b2o3bo$o2bo2b2o36b2o105bobo2bo131bo3b2o26b2o247b2o
31b2obo49b3o5b2o52b2o17bobo2b2o5bo11b4obo5b2obo2bo212bobo61b2o46bo5b2o
4bo10bo3b2o$b2o16b2o26b2o102bobo4bo128bobo3bo159b2o83b2o115bo7b2o53bo
17b2o2bo2bo3b2o16b3o3b2ob2o60bo45b2o3bo10bo3b2o157b2o39bobo8b2o9bobo2b
o$19bo20b2o4b3o103bob5o127bobo3bo116b2o35b2o5bobo82bo55b2o119b3o5b2o
16b2o15bo77b3o44bo2bobo8bobo2bo157bobo8b2o30b2o19bobo4bo$13b2o5b3o17bo
4bobo106bo127b2obobo3bo117bo36b2o7bo14b2o67b3o43b2o7b2o119bo8bo32bobo
79bo41bo4bobo8bobo4bo155bo5b2o4bo23b2o27bob5o$13b2o7bo15bobo4b2o106bo
3b2o5b2o116b2obo2b4obo5b2o109b3o42b2o13b2o7b2o60bo44bo134b3o5b2o25bo3b
o77b2o41b5obo10bob5o91b2o61b2o5b2o3bo25bo29bo$38b2o112bo4bobo4bo121bob
o3bobo5bo111bo66bo106bobo132bo7b2o11b2ob2o9bo3bo8b2o114bo14bo94b2o73bo
26bobo9b3o14bo3b2o5b2o$152b2o8bobo117b2ob2o2bo2bobo2b3o94b2o46bo34bobo
107b2o151bo2bob2o9bo4bo7bo34bo7b2o60b2o5b2o3bo12bo3b2o5b2o85bo68b5obo
25b2o25bo4b2o5bo$23b2o136b3o119bobo2b2o3bo3bo97b2o44bobob2o30b2o261b2o
bo13bo2bo9b3o31b3o5b2o61bo5b2o4bo10bo4b2o5bo155bo4bobo34bo4bo3b2o6b2o
8bobo$23b2o136bo7b2o100b2o10bobo108bo46bobobobo13b2o280bo15b2o11bo25bo
8bo42b2o23bobo8b2o10b2o8bobo157bo2bobo34b3o2bo3b2o16b2o$159b3o7bo101b
2o11bo39bo113b2obobobobo2bo11bo280b2o53b3o5b2o16b2o23bobo24b2o30b2o
157b2o3bo21b2o10b2o34b2o$32b2o133bobo152b3o113bo2bo2b2ob4o11bobo142b2o
132b2o2bobo17b2o34bo17b2o2bo2bo22bo19b2o44b2o85b2o91bo8bo2bo3b2o29bo$
32b2o6b2o114bo10b2o152bo118b2o4bo16b2o142b2o131bo2bo2b2o17bo34b2o17bob
o2b2o21b3o20bo44bo86bobo90bobo6bobo2bo2bo27bobo$40b2o106b2o7bo29bo7b2o
124b2o53b2o68bobo58bo233b2o16b2o5b3o53b2o22bo23bobo40bobo86bo93b2o6bo
2bobo2bo27b2o$148b2o7bo29b3o5b2o180bo69b2o30bo27b3o249bo8bo25bo28bo23b
3o21b2o40b2o191b2ob3o3b2o4b2o$171b2o8bo8bo184bo101b3o30bo242b2o5b3o31b
3o9b3o14bob2o22bo40b2o2b2o212b4o3bobo3b2o6bo$28bo93bo7b2o39bo9b3o5b2o
16b2o166b5o14b2o80bo11bo20b2o242b2o7bo34bo7bo2b2o10b2obo2bo22bobo38b2o
2b2o13b2o197bobo6bo10b3o13b2o$27bobo92b3o5b2o37bobo12bo17b2o2bo2bo170b
o13bo66bo14b2o8b3o15bo87bo203b2o8bo3bo9b2ob2o25b2o15b2o41b2o5b2o88b3o
99b3o5b2o8b5o12bo$28bo6b2o79bo8bo38bo4b2o12b2o17bobo2b2o137bo30b3o12bo
bo65bobo22bo18b3o84bobo213b3o58bo40bo7bo89bo86b2o13b2o15b2o3b2o9bobo$
35bo80b3o5b2o16b2o6b2o12b2o25b2o12b2o139b3o27bo15b2o67bo23b2o20bo83bob
o214bo37bo21bobo44bobo90bo85b2o31b5o10b2o$36b3o80bo17b2o2bo2bo4bobo14b
o10bo12bo15bo104b2o36bo26b4o126b2o84bo206b2o44b2o22b2o9b3o22b2o8b2o
206b2o3b3o$38bo79b2o17bobo2b2o5bo8b2o5b2o10b3o10bobo3b2o8bob2o100bobo
5b2o22bo5b2o24b2o3bo3b2o204b3o199b2ob2o2bo2bo16b2o25bobo32bo2bo4b2o6b
2o6b3obo213bobo4bo$140b2o6b2o8b2o4b2o14bo10b2o4bo5b2obo2bo100bo7b2o21b
obo29bo2b3o4b2o204bo199bo2bob2o4b3o15bo55bo6bobo4bobo4bobo6bo2b2o213bo
$112bo28bo17b3o2b2o5b2o6bobo15b2o4b2ob2o101b2o30bobo29b2obo412b2obo7b
2o2b3o12b3o51b3o6bo7bo4bo9b2o107b2o105b2o$112b3o26bob2o16b2obo6b2o6b5o
155b2obo33bo415bo9b2o3bo13bo49b2ob2o14b2o2b2o117b2o93b2o34b2o$115bo8bo
bo11b2obo2bo17b2o17b3o10bobo126bo14bobo35b2o414b2o13bo5bobo51b3ob3o36b
2o5b2o35b2o59bo82b2o8bobo33b2o$114b2o7b2obo11b2ob2o176b2obobo12bo2bo
124b2o36b2o285b2o2bobo6bo10b2o51b4o38bobo5b2o35bobo141bo4b2o5bo$126bo
47b2ob2o22b2o26b2o87bobobobo11bo3b3o4b2o115bobo36b2o17b2o265bo2bo2b2o
7b2o8bo56b5o33bobo42bo144bo3b2o5b2o$121b2o26bobo20bo2bob2o22bo28bo2b2o
25b2o53bo2bobobobob2ob2o6b3o3bo3b2o35b2o78bo57b2o266b2o16b2o61b2o3b2ob
o29b2o109bo79bo$119bobo27b2o6b2o13b2obo26b3o25bobo2bo20b2o2bo54b4ob2o
2bo2bobo10b4o41bo77b2o7b2o334bo66b3o141b2o77bob5o$109b2ob2o3b2obo15b2o
12bo5bobo8b2o6bo28bo26bob2obobo16bo2bobo58bo4b2o3bo7b2obo15b2o24b3o88b
o329bo5b3o207bobo75bobo4bo25b2o$68bo38bo2bob2o3b2ob2o14bo19bo5b2o4bo6b
2o55b2o6bo11bobob2obo57bobo9b3o6bo2b3o12bobo23bo87b3o50b2o277b2o7bo11b
o57b2o20b2o192bobo2bo26bobo8b2o$68b3o36b2obo18bobo5b3o15b2o5b2o3bo5b2o
2bobo53b3o4bo9bo6b2o58b2o13bo5bo5bo13bo111bo52bo297b3o47b2o8bobo18bobo
8b2o183bo3b2o25bo5b2o4bo$71bo38bo7b2ob2o7b2o7bo26bo5bo2bo2b2o52bo2b2o
3bo9bo4b3o73b2o6b5o14b2o150b2o12b3o293bo50bo4b2o5bo18bo5b2o4bo213b2o5b
2o3bo$70b2o38b2o6b2ob2o7bo31b5obo4b2o16b2o45bo11bo3b2o2bo82bo169bo14bo
275b2o7bo8b2o50bo3b2o5b2o16b2o5b2o3bo225bo$108b2o2bobo5bo41bo4bobo21bo
8bobo29bobo17bo255b3o291b2o5b3o61bo16bo21bo112b3o107b5obo$107bo2bo2b2o
49bo2bobo15b2o5b3o6b2o30bo11bo10bobo190bo3b2o53bo299bo62bob5o12bobo15b
5obo110bo65b2o7bo34bo4bobo$62b2o44b2o16b2o35b2o3bo16b2o7bo6bo42b3o10bo
190bobo2bo336b2o16b2o60bobo4bo12b2o16bo4bobo110bo64b2o5b3o36bo2bobo$
62bo63bo117bob2o200bobo4bo333bo2bo2b2o73bobo2bo34bo2bobo181bo38b2o3bo$
59b2obo57b2o5b3o115b3o201bob5o334b2o2bobo5bo68bo3b2o32b2o3bo164b2o16b
2o5b2o$59bo2b3o4b2o49b2o7bo84bo2bo21b2o4b2o204bo340b2o7bobo227b2o45bo
2bo2b2o17bobo$60b2o3bo3b2o97b4o46bo19b5o44b2o119b2o40bo3b2o5b2o329bo7b
2ob2o6b3o7bo209bobo45b2o2bobo19bo$62b4o101bo3bo42bo3bo19b2obo43b2ob2o
118bobo38bo4b2o5bo327b2obo7bo2bo9bo5b3o115b2o92bo49b2o$62bo15b2o46b2o
7bo35bo43b4o21b2o43b4o119bo40b2o8bobo327bo2bob2o3b2ob2o8bo5bo118bobo
141bo28bo$63b3o12bobo45b2o5b3o31bo2bo115b2o171b2o330b2ob2o4bobo3b2o10b
2o119bo4b2o132b2obo6b2o4bo13b3o$66bo13bo51bo333b2o333bo2bo130b4ob2o2bo
2bo130bo2bob2o2b3o2bo2bo11bo$61b5o14b2o32b2o16b2o332bo337bob2o127bo2bo
bobobob2o90bo41b2ob2o3b2o4b4o9b2o$61bo51bo2bo2b2o50bo3b2o19b3o14bo7b2o
241bobo337bo133bobobobo92b2o55b5o$63bo50b2o2bobo9bo39bobo2bo22bo14b3o
5b2o241b2o330b2o8b3o11b2ob2o114b2obobo92bobo55b5o$62b2o52b2o10bo2bo38b
obo4bo19bo18bo228b2o350bo8b2o12b2obo2bo116bo155b2o$116bo7bo2bo17bo25bo
b5o37b2o16b2o62b2o7bo138b2o347b3o26bob2o258b2o13b2o7b2ob2o$113b2obo7b
3o3bo4b2o6b3o27bo34b3o17b2o2bo2bo61b2o5b3o161b2o324bo28bo36bo3b2o32b2o
3bo25b2o155bo10b3o9b2obo2bo4b2o$113bo2bob2o5bo4bo4bo6bo29bo3b2o5b2o23b
o19bobo2b2o68bo8bo147b3o5bo353b2o35bobo2bo34bo2bobo25bo7b2o103b2o38b3o
10b3o13bob2o4b3o$115b2ob2o6bo5bo2bo6b2o27bo4b2o5bo25bo21b2o52b2o16b2o
5b3o107b2o37bo3bob2obo331b2o17bobo2b2o33bobo4bo30bo4bobo25bobo5b2o102b
2o39bo28bo6bob2o$132b2o37b2o8bobo19bo19b2o7bo51bo2bo2b2o17bo85bobo21b
2o37bo8bo333bo17b2o2bo2bo33bob5o13b2o15b5obo27b2o111bo66b2o6b3o$128bob
obo48b2o20b3o13b2ob3o7bob2o49b2o2bobo17b2o84b2o24bo25b2o8bo3bo336b3o5b
2o16b2o36bo18bo19bo187b2o17bobo2b2o5bo17b2o7bo$129bobo44bo29bo12b2ob2o
bo3b2obo2bo51b2o12bo94bo49bobo8bo2bobo335bo8bo53bo3b2o5b2o7bobo6b2o5b
2o3bo187bo17b2o2bo2bo22b2o5b3o$120b2o22b2ob2o26bob2o26b2o12b2ob3o4b2ob
2o53bo11b2obo13bo129bo10bo3bo3bo338b3o5b2o46bo4b2o5bo9b2o7bo5b2o4bo
183b3o5b2o16b2o29bo8bo$121bo22b2obo2bo20bo5b2o37bo7bo59b2obo10b2o2bo
11b3o128b2o11bo5bo339bo7b2o46b2o8bobo18bobo8b2o145b2o36bo8bo29b2o16b2o
5b3o$118b3o26bob2o17b2o3b4o38b3o66bo2bob2o6b5o11bo145bo3bo4b2o400b2o
20b2o155bobo41b3o5b2o22bo2bo2b2o17bo$118bo28bo19bo46b2ob2o25b3o18bo7b
2o11b2ob2o5b2o2b2o11b2o145b3o5b2o579bo43bo7b2o3b2o3bo14b2o2bobo17b2o$
146b2o19bo5b2o25b2ob2o8b3o2b2o7b2o15bo2bo17b3o5b2o24b2o135bo504b2o69bo
94bo2bobo15b2o8bo$124b2o17bobo2b2o18bob2o3bo14b2o6bo2bob2o9b2o2b2o7bo
16bo14bo8bo31bo10bo124b3o99bo402bo68b3o92bo4bobo15bo8b3o7b2o8bo$125bo
17b2o2bo2bo21bo9bo7bo7b2obo15b3o8b3o13bo14b3o5b2o16b2o11b3o9b3ob2o123b
o98b2o402b3o64bo95b5obo13b2obo7bo2bo6bobo6b3o$122b3o5b2o16b2o23b3o5bob
o4bobo10bo15b2o11bo14bobo14bo17b2o2bo2bo3b2o16bob4obob2o118b2o97bobo
316b2o14b2o32b2o36bo64b2o43b3o52bo15bo2bob2o4b3o9bo5bo$122bo8bo48bo2bo
4b2o11b2o58b2o17bobo2b2o5bo15b3o2bo2bobo2bo62bo46b3o20b2o400b2o13bobo
17bo14b2o146bo43b2o5b2o3bo16b2ob2o5bo4b2o10b2o$128b3o5b2o31b2o9b3o16b
2o2bobo17b2o47b3o8b2o4b3o17b2o3b2o2bob2o61bo47bo21bobo8b2o407bo5b2o2b
2o6b2o162bo43bo5b2o4bo29bo2bo$128bo7b2o30bobo10bo16bo2bo2b2o17bo31bo9b
ob2obo4bo8bo4bo24b2o2bo64b3o46bo10bobo7bo5b2o4bo413bo4bo5bo2bo205bobo
8b2o29bo2bo$168bo30b2o16b2o5b3o28b3o7bo3bobo3bo8bob2obo25bob2o124b2o5b
2obo5b2o3bo412bobo4bobo6bo206b2o4bo34bo$167b2o48bo8bo31bo6bo4bo4bo5b2o
bo2bob2o23bobo2b2o106b2o15bo4bobob2o8bo402bo10b2o6b2o3b2o2b2o197b2o11b
o25b2o8b3o11b2ob2o$190b2o19b2o5b3o36b2o7b2o5b2o6b2ob2o28b2o2bo2bo105bo
bo19bo9b5obo392b2o5b2obobo19b2o4bo7b2o155b2o31bo10bobo25bo22b2obo2bo$
190b2o19b2o7bo47bo3bo19bobo6b2o16b2o108bo17b3o9bo4bobo390bobo5b2obobo
19bobo2b3o6bobo153b2o32bobo9bo23b3o26bob2o$171b2o95bo3bo19b2o8bo126b2o
15bo14bo2bobo390bo32b2o4bo9bo155bo32b2o9bo23bo28bo$170bobo96b3o21bo5b
3o5b2o113b2o7bo15b3o10b2o3bo390b2o9b3o3bo16bo3b2o10b2o206b2o42b2o$170b
o81b2ob2o22b2o18bo7b2o113b2o5b3o5b2o10bo421b4o4b2o2b2o3b3o2bo220b2o39b
obo2b2o$169b2o79bo2bob2o22bo148bo7bobo10bobo145b2o271b2o3bo3b2o2b2o4bo
bobo173bo23b2o62b2o2bo2bo$176b2o72b2obo26b3o127b2o16b2o8bo11b2o144bobo
261b2o7bo3b2o15b3o9b2o162b2o24bo49b2o16b2o$175bobo8b2o65bo28bo126bo2bo
2b2o173b2o4bo262bobo8b4o17bo10bobo161bobo23bobo48bo$175bo5b2o4bo65b2o
155b2o2bobo171bo2bo2b2ob4o258bo11bo32bo188b2o4bobo38b3o5b2o$174b2o5b2o
3bo64b2o2bobo154b2o174b2obobobobo2bo257b2o44b2o193bobo10b2o26bo7b2o$
185bo64bo2bo2b2o154bo28bo149bobobobo267b2o30b2o200bo12bobo$181b5obo63b
2o16b2o20b2o116b2obobo2bo2bobo16b3o149bobob2o267bobo8b2o10b2o8bobo199b
2o3bo9bo$181bo4bobo80bo20bobo116bo2bobo7bo15bo153bo271bo5b2o4bo10bo4b
2o5bo83bo88b3o24b2ob2o10b2o11bobo$183bo2bobo56bo17b2o5b3o17bo120b2obo
7bo8bo6b2o18bo7b2o395b2o5b2o3bo12bo3b2o5b2o80b3o88bo18b2o8b2o24b2o$
182b2o3bo56b3o16b2o8bo14b3o10b2o3bo24b2o82b2o13b2o26b3o5b2o137b2o267bo
14bo90bo92bo17b2o35bo$243b2obo23b3o14bo14bo2bobo23bobo84b3o8bo2bo28bo
4b2o128b2o7bo264b5obo10bob5o86b2o$243b3o23bo18b3o9bo4bobo25bo4b2o91bo
28b2o5bo10b2o116b2o5bobo264bo4bobo8bobo4bo218bo27b2o3bo$244b2o23b2o9bo
3bo5bo9b5obo22b4ob2o2bo2bo74b2o15b2o5b2ob2o20b2ob2o3b2o2bo2bo122b2o
267bo2bobo8bobo2bo186b2o30bobo28bo2bobo$281b3o6bobob2o8bo24bo2bobobobo
b2o75bo10bo5bo5b2obo2bob2o5b2o8b2ob2o3bobo2b2o391b2o3bo10bo3b2o185bobo
30b2o26bo4bobo$281b3o7b2obo5b2o3bo26bobobobo75b3o11bo4bo9bob2obo6bobo
6bobobo7b2o600bo26b2o32b5obo$294bo5b2o4bo26b2obobo75bo13bob3o10bo4bo6b
o7b3o2bo8bo617b2o8bobo35bo$294bobo8b2o30bo91b2o11b2o4b3o13b2o2bobo6bob
2o614bo4b2o5bo24b2o5b2o3bo$213b2o3bo76b2o123b2o17bobo2b2o5bo17b2o3b2ob
o2bo489b2o124bo3b2o5b2o24bo5b2o4bo$214bo2bobo59b2o20bo21b2o96bo17b2o2b
o2bo3b2o17b2o3b2ob2o490bobo5b2o106bo11bo35bobo8b2o$212bo4bobo50bo9bo
19b4o20bo7b2o84b3o5b2o16b2o147b2o374bo7b2o105b2o9bob5o32b2o$212b5obo
49b2o7b3o19bobob2o19bobo5b2o84bo8bo41bo124bo373b2o114bobo7bobo4bo$216b
o52b2o6bo20b2o3bobo19b2o97b3o5b2o27b2o128b3o500bobo2bo$205b2o5b2o3bo
80bo6b2o2b2o113bo7b2o11b2ob2o11bobo8b2o117bo390bo112bo3b2o$206bo5b2o4b
o82bobobo3b2o132bo2bob2o11bo2bo7bo107bobo395b2obobo135b2o11bo$206bobo
8b2o67b2o11b2ob3o138b2obo15b2o9b3o104b2o395bobobobo106b2o26b3o10b2o15b
2o$207b2o78bo7bo7bo142bo28bo105bo392bo2bobobobob2o102b2o27b2obo9bobo
14b2o$200b2o85bobo5bo150b2o526b4ob2o2bo2bo104bo27b3o3b2o$201bo86b2o5bo
bo146b2o2bobo17b2o508bo4b2o135bo5bo$201bobo92b2o9b2o26b2o106bo2bo2b2o
17bo507bobo147bobo$202b2o103bobo25bo108b2o16b2o5b3o504b2o149b2o9b2o$
221b2o86bo26b3o99bo23bo8bo624b2o40bobo5b2o$206bo14b2o34bo51b2o27bo97b
3o17b2o5b3o630bobo41bo5bobo$198b2o6b2o36b3o10bobo26b2o15bo131bo20b2o7b
o140bo489bo35bo7bo7bo$199bo5bo2bo34bo2bo10b2o27b2o147b2o168bobo341bo
99b2o80b3ob2o11b2o$199bobo6bo37bo58b2o298bobo339b3o99bo75b2o3bobobo$
200b2o3b2o2b2o35bo58bobo295b3ob2o337bo104bo73b2o2b2o6bo$205b2o4bo7b2o
22bobo61bo135b2o157bo335b2o6b2o83b2o14b5o49b3o26bobo3b2o6b2o$205bobo2b
3o6bobo85b2o135bo158b3ob2o329bobo91bo13bo54bo29b2obobo7bobo$205b2o4bo
9bo78b2o142bob2o157bob2o330bo92bobo12b3o52bo29b4o10bo$205bo3b2o10b2o
67b2o8bobo133b2o4b3o2bo351b2o232b2o15bo83bo11b2o$198b2o3b3o2bo81bo4b2o
5bo133b2o3bo3b2o352bobo142b2o101b4o44b2o3bo38b2o$198b2o4bobobo82bo3b2o
5b2o137b4o155b2o199bo4b2o136b2o5b2o89b2o3bo3b2o43bo2bobo27b2o8bobo$
205b3o23bo60bo134b2o15bo156bo195b4ob2o2bo2bo141b2o89b2o4b3o2bo40bo4bob
o6b2o19bo4b2o5bo$206bo22b3o58bob5o129bobo12b3o157bobo193bo2bobobobob2o
240bob2o40b5obo6b2o21bo3b2o5b2o$228bo60bobo4bo129bo13bo150bo10b2o196bo
bobobo243bo47bo10bo21bo$228b2o5b2o52bobo2bo130b2o14b5o143b3o209b2obobo
127b2o113b2o36b2o5b2o3bo29bob5o$212b2o22b2o52bo3b2o149bo142bo216bo128b
2o152bo5b2o4bo19bobo5bobo4bo$202b2o8bobo20bo207bo144b2o498bobo8b2o13bo
4bo8bobo2bo$202bo4b2o5bo9bo63b5o150b2o128b2o48b2o166b2o156b2o90b2o46b
2o22b2o4bo9bo3b2o$203bo3b2o5bob2o7bo61bo3bo282bo48b2o167bo7b2o122b2o7b
o15bobo4b2o83bo40b2o29bobo3bo2bo$204bo8b2obobo4b3o61b2o4bo280bob2o214b
obo5b2o123bo5b3o17bo4b2o84b3o38bo35b3o$202bob5o9bo19b2o52b2o281bo2bo
214b2o135bo20b2o91bo38bobo$201bobo4bo9b3o18bo336b2o334b2o16b2o25bo126b
2o$201bobo2bo14bo14b3o352b2o318bo2bo2b2o7b2o8bo19bobo9bo2bo131b2o$202b
o3b2o10b3o8bo5bo8b2o345b2o319b2o2bobo6bo10b2o17bo2bo8bo4bo130b2o$218bo
9b2o6b3o5b2o668b2o13bo5bobo16bo2bo8bo5bo107b2o36b3o$216bobo9bobo8bo
674bo9b2o3bo13bo21b2ob2o111bo38bo$216b2o20b2o671b2obo7b2o2b3o12b3o10bo
2bo6bo7bo108bobo35bo$251b2o2b2o343bo3b2o197b2o106bo2bob2o4b3o15bo15b2o
5bo2b3obobo109b2o9b2o12b2o$251bobo2bo342bobo3bo197bo109b2ob2o2bo2bo16b
2o22b3obob2o121bob2o4b2o5bo16b2o$254b2o342bobo3bo199b3o114b2o164bo6b3o
4bobob3o17bobo$226bo28bobo7b2o327b2obobo3bo202bo123bo33b3obob2o115b3o
13bobo19bo$226b3o26bob3o4b2o328b2obo2b4obo5b2o316b3o31bo2b3obobo112bo
5bo11b2o$229bo22b2obo4bo5bo331bobo3bobo5bo305b2o8bo3bo9b2ob2o17bo7bo
107b2o2b3o5bo70bo3b2o$200b2o7bo18b2o22b2ob5o334b2ob2o2bo2bobo2b3o46b2o
129b3o127bo7bo2b2o10b2obo2bo16b2ob2o110b2obo78bobo2bo$201bo5b3o385bobo
2b2o3bo3bo48bo132bo124b3o9b3o14bob2o17bo5bo111b5o4bo68bobo4bo$206bo27b
obo10b3o7bo58bo3b2o261b2o10bobo62bo129bo125bo28bo21bo4bo112bo3bo2bo15b
o54bob5o$188b2o16b2o39b5o4bobo56bobo2bo262b2o11bo43b2o14b5o283b2o22bo
2bo116b2obo15b2o6b2o48bo$187bo2bo2b2o7b2o8bo10b2ob2o4b2o15bobo5bo57bob
o4bo315bo2bo13bo266b2o17bobo2b2o158b2o7bo48bo3b2o5b2o$188b2o2bobo6bo
10b2o4b2obo2bob2o5bo4b2o10bo65bob5o315b2obobo12b3o264bo17b2o2bo2bo145b
2o8b3o6bobo47bo4b2o5bo$190b2o13bo5bobo5bob2obo8b2o3bobo10b3o64bo321bob
2o15bo260b3o5b2o16b2o136b2o8bobo7b3o6b2o48b2o8bobo$190bo9b2o3bo13bo4bo
15bo12bo63bo3b2o5b2o310bo15b4o260bo8bo154bo4b2o5bo9b2o29b2o34b2o$187b
2obo7b2o2b3o12b3o4b2o12b2o76bo4b2o5bo309b3o10b2o3bo3b2o264b3o5b2o149bo
3b2o5b2o3bo2bo2b3o26b2o42b2o$187bo2bob2o4b3o15bo5b2o2bobo17b2o53bobo
12b2o8bobo308bo13b2o4b3o2bo176bo86bo7b2o150bo14bo2bo2b2o29bo41bo$189b
2ob2o2bo2bo16b2o3bo2bo2b2o17bo54b2o23b2o309b2o20bob2o174b3o234bo3b2o4b
ob5o11b6o2b2o66bobo$197b2o23b2o16b2o5b3o52bo30b2o324bo176bo236bobo2bo
4bobo4bo13b2o4b2o66b2o$206bo33bo8bo72bo10bo324b2o176b2o235bobo4bo2bobo
2bo16bo13bo7b2o30b2o$205b3o26b2o5b3o79bo7bobo740bob5o3bo3b2o29b3o5b2o
30b2o$194b2o8bo3bo9b2ob2o11b2o7bo79bo7b2o667bo75bo18b2o8bo16bo59b2o$
195bo7bo2b2o10b2obo2bo87b2o336b2o348b2o73bo3b2o5b4o4bobo7bobo14b2o59bo
$192b3o9b3o14bob2o87b2o336bo348bobo72bo4b2o5bo2bo6bo5b3ob3o25b2o2b2o
35bo4bobo$192bo28bo98bo14b2o290b2o22b3o420b2o8bobo14bo7bo24bobo2bo15b
2o17b3o3b2o$220b2o97bobo13bo290bobo5b2o17bo335bo94b2o15b2o5b2o14bo12b
2o16bo5b2o10b5o$198b2o17bobo2b2o94b2ob2o10bobo290bo7b2o190b2o159b3o
133bobo12bobo7b3o5b3obobo9b2o3b2o$199bo17b2o2bo2bo93bo2bo11b2o290b2o
198bobo5b2o151bo121b4o11bo2bo11bob3o5bo9bobo12b5o$196b3o5b2o16b2o90b2o
3b2o57bo446bo7b2o151b2o120bo3bo11b2obo7b2obo4bo5bo9b2o13b3o$188bo7bo8b
o107bobo62b3o258bo184b2o252bo32b2o14b2o6b2ob5o32bo6b2o$189b2o11b3o5b2o
101bo67bo253b2obobo429b2o5b3o48bo53b2o$188b2o12bo7b2o100b2o66b2o252bob
obobo197bo231b2o4b5o44bobo12bo$335b2o294bo2bobobobob2o190b2obobo134b2o
99bo5bo11b2o15bo3bo11bo12bobo$335b2o294b4ob2o2bo2bo189bobobobo134bobo
101bo2b2o10bo12b2obobobobo17b2o5bo6b2o$303bo68b2o261bo4b2o188bo2bobobo
bob2o133bo100bobob3o7bobo10bo2bobobo4bo16bo14bo$303b3o66bo260bobo194b
4ob2o2bo2bo133b3o99bo2b2o8b2o11b2obo2bob2obo18b3o11bobo17b2o$306bo62b
2obo138bo121b2o199bo4b2o138bo92b2o7bo25bo6bo21bo12b2o6b2o8bobo8b2o$
305b2o62bo2b3o4b2o128b2o321bobo141b3o92bobo3b4o26b2o47bo3bo6bo5b2o4bo$
321b2o47b2o3bo3b2o42bo86b2o320b2o142bo94bo5b3o25b2o2bobo17b2o25bo2bo6b
2o5b2o3bo$300b2o18bobo8b2o39b4o45b3o550bobo93b2o6bo25bo2bo2b2o17bo25bo
b2o18bo$300bobo17bo5b2o4bo39bo15b2o30bo553b2o117b2o10b2o16b2o5b3o40b5o
bo4b2o3bo$300bo16b2obo5b2o3bo41b3o12bobo29b2o671b2o28bo8bo40bo4bobo4bo
2bobo$316bobob2o8bo45bo13bo683b2o41b2o5b3o8b2o7bo30bo2bobo2bo4bobo$
316bo9b5obo38b5o14b2o681bobo41b2o7bo8b2o5b3o13bo15b2o3bo3b5obo$314b3o
9bo4bobo37bo701bo67bo15bobo27bo$313bo14bo2bobo39bo698b2o49b2o16b2o14bo
bo14b4o5b2o3bo$289b2o7bo15b3o10b2o3bo39b2o639bo5bo59b2o41bo2bo2b2o25b
3ob3o12bo2bo5b2o4bo$289b2o5b3o17bo696bo5bo58bobo8b2o32b2o2bobo24bo7bo
14bobo8b2o$295bo20bobo91b2o75bo523b4o3b4o56bo5b2o4bo34b2o27b2o5b2o15b
2o$277b2o16b2o20b2o90bobo5b2o68b3o520b2o9b2o54b2o5b2o3bo35bo46b2o$276b
o2bo2b2o125bo7b2o71bo248bo269b3o2b2ob2o2b3o64bo33b2obo26b4o16bobo$277b
2o2bobo28b2o94b2o79b2o246b3o192bo7b2o67b2o3b2ob2o3b2o60b5obo31bo2bob2o
22bo3bo16bo$279b2o30b2o423bo195b3o5b2o68b3obo3bob3o61bo4bobo32b2ob2o
11b3o8b2o$279bo28bo4bo108bo313b2o188bo8bo75b2o7b2o64bo2bobo51bo48b2o$
276b2obo11b5o10b3o109b2obobo502b3o5b2o16b2o58b3o3b3o64b2o3bo49bo2bo38b
2o8b2o$276bo2bob2o8b2o12bo111bobobobo505bo17b2o2bo2bo59b2ob2o121bo2bo
25b2o10b2ob2o$278b2ob2o7bo3b2o9b2o18bo7b2o79bo2bobobobob2o13b2o486b2o
7bo9bobo2b2o59bobobobo109b2o10b2o4bo5b2ob2o12bo9bo3b2o$290b2o33b3o5b2o
79b4ob2o2bo2bo13bobo493b3o11b2o62bo3bo111bo5bo9b3o4b2obo2bo10bobo12bo$
291bo36bo89bo4b2o17bo4b2o50b2o421bo12b2ob2o11bo22b3o150b3o6bobo6bo2bo
7bob2o11b2o10bobo$292bo34b2o16b2o69bobo19b4ob2o2bo2bo41b2o5bobo420b3o
9b3ob3o10bob2o19bob2o149bo8b2o7b3o8bo26bobo4b2o$231bo51b2o18bo3b2ob2o
28b2o2bo2bo68b2o20bo2bobobobob2o41b2o7bo224b2o197bo9b2ob2o8b2obo2bo19b
2o2bo167bo8b2o33bobo$229b3o52bo16b2ob2ob2obo2bob2o23bobo2b2o94bobobobo
53b2o222bobo5b2o189b2o10b3o9b2ob2o17bo3b6o153b2o17bobo2b2o33bo$228bo
52b3o19bo6bob2obo27b2o97b2obobo277bo7b2o202bo31bobo2b2o2bo43b2o110bo
17b2o2bo2bo32b2o$228b2o51bo28bo4bo28bo101bo41bo235b2o244b2o3b3o40b2o2b
2o2b2o103b3o5b2o16b2o10b2o$309b2o4b3o26bob2o139bobob2o525bobo2bo2b2o
103bo8bo28b2o$287b2o17bobo2b2o5bo8b2o12b2obo2bo84b2o53bobobobo244bo
180b2ob2o22b2o22b2o3b3o41b3o115b3o5b2o31bo9b2o$288bo17b2o2bo2bo3b2o8b
3o11b2ob2o87bo7b2o41b2obobobobo2bo237b2obobo177bo2bob2o22bo15b2o5bobo
2b2o2bo41b2o115bo7b2o31bo9bobo$285b3o5b2o16b2o12bo107bobo5b2o41bo2bo2b
2ob4o236bobobobo177b2obo26b3o12b2o6bo3b6o197bobo10bo$285bo8bo30bob2o
105b2o50b2o4bo237bo2bobobobob2o177bo28bo12b2o10b2o2bo46bo8b2o142bo11b
2o$291b3o5b2o21bo2bo166bobo235b4ob2o2bo2bo177b2o40bo11bob2o47b3o6b2o
142bo4b2o$218b2o71bo7b2o11b2ob2o4bobo3b2o10b2o152b2o239bo4b2o177b2o2bo
bo36bobo10b3o51bo144b2o8bobo$217bobo5b2o83bo2bob2o3b2ob2o8bo5bo392bobo
182bo2bo2b2o36bob2o62b2o13b2o129bo4b2o5bo$217bo7b2o83b2obo7bo2bo9bo5b
3o389b2o184b2o16b2o69bo3b2o29bo131bo3b2o5b2o$216b2o95bo7b2ob2o6b3o7bo
593bo20b2o47bobo2bo28bobo132bo$313b2o7bobo605b2o5b3o8bo8bo4b2o42bobo4b
o26b2o131bob5o$230bo80b2o2bobo5bo11b2o107b2o484b2o7bo9bo5bobo4b2o43bob
5o21b2o135bobo4bo$226b2obobo78bo2bo2b2o17bo92bo15bo502b3o5b2o52bo25b2o
135bobo2bo$225bobobobo79b2o16b2o5b3o87b3o16b3o560bo3b2o5b2o152bo3b2o$
222bo2bobobobob2o94bo8bo86bo21bo492b2o65bo4b2o5bo$222b4ob2o2bo2bo88b2o
5b3o92b2o513b2o65b2o8bobo$226bo4b2o90b2o7bo684b2o20bo$224bobo722b2o87b
obo$224b2o723b2o6b2o80b2o$957b2o62b2o$1020bobo$1003b2o17bo7b2o$415b2o
528bo57b2o25b2o$414bobo5b2o520bobo79b2o$414bo7b2o520b2o6b2o72bo$413b2o
537bo59b3o9bobo$953b3o56bobo9b2o$427bo56bo470bo49b2o4bo2bo5bo$423b2obo
bo53b3o519bobo4bobo6b2o$422bobobobo52bo522bo7bo6bob3o$419bo2bobobobob
2o49b2o520b2o15b4o$419b4ob2o2bo2bo588bo5b2o$423bo4b2o597bo$421bobo65b
2o516b2o8b4o5bo$421b2o67bo515bobo7bo$221b2o267bob2o512bo9bo$220bobo
259b2o4b3o2bo511b2o10b2o$214b2o4bo261b2o3bo3b2o519b2o$212bo2bo2b2ob4o
27b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o37b4o520bobo8b2o$212b2obobobob
o2bo26bobo25bobo25bobo25bobo25bobo25bobo25bobo25bobo23b2o15bo520bo5b2o
4bo$215bobobobo23b2o4bo21b2o4bo21b2o4bo21b2o4bo21b2o4bo21b2o4bo21b2o4b
o21b2o4bo24bobo12b3o520b2o5b2o3bo$215bobob2o22bo2bo2b2ob4o15bo2bo2b2ob
4o15bo2bo2b2ob4o15bo2bo2b2ob4o15bo2bo2b2ob4o15bo2bo2b2ob4o15bo2bo2b2ob
4o15bo2bo2b2ob4o20bo13bo534bo$216bo26b2obobobobo2bo15b2obobobobo2bo15b
2obobobobo2bo15b2obobobobo2bo15b2obobobobo2bo15b2obobobobo2bo15b2obobo
bobo2bo15b2obobobobo2bo19b2o14b5o525b5obo$246bobobobo21bobobobo21bobob
obo21bobobobo21bobobobo21bobobobo21bobobobo21bobobobo42bo525bo4bobo$
229b2o15bobob2o22bobob2o22bobob2o22bobob2o22bobob2o22bobob2o22bobob2o
22bobob2o41bo529bo2bobo$220b2o7bo17bo27bo27bo27bo27bo27bo27bo27bo45b2o
527b2o3bo$220b2o5bobo$227b2o31b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o$
251b2o7bo18b2o7bo18b2o7bo18b2o7bo18b2o7bo18b2o7bo18b2o7bo18b2o7bo$251b
2o5bobo18b2o5bobo18b2o5bobo18b2o5bobo18b2o5bobo18b2o5bobo18b2o5bobo18b
2o5bobo$174bo83b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o$173bobo$173bobo$
172b2ob3o54bo27bo27bo27bo27bo27bo27bo27bo27bo$178bo38b2o13b3o25b3o25b
3o25b3o25b3o25b3o25b3o25b3o25b3o$172b2ob3o40bo16bo27bo27bo27bo27bo27bo
27bo27bo27bo$172b2obo39b3o9b2o5b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o
26b2o$215bo10b2o20b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o$228bo20bo27bo
27bo27bo27bo27bo27bo27bo$179b2o65b3o25b3o25b3o25b3o25b3o25b3o25b3o25b
3o$179bo66bo27bo27bo27bo27bo27bo27bo27bo$177bobo$177b2o10bo$189b3o52b
2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o$192bo44b2o5bobo18b2o5bobo
18b2o5bobo18b2o5bobo18b2o5bobo18b2o5bobo18b2o5bobo18b2o5bobo18b2o5bobo
$191b2o44b2o7bo18b2o7bo18b2o7bo18b2o7bo18b2o7bo18b2o7bo18b2o7bo18b2o7b
o18b2o7bo$156b2o48b2o38b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o$
156b2o48bo$203b2obo26bo27bo27bo27bo27bo27bo27bo27bo27bo$202bo2bo26bobo
b2o22bobob2o22bobob2o22bobob2o22bobob2o22bobob2o22bobob2o22bobob2o22bo
bob2o$203b2o27bobobobo21bobobobo21bobobobo21bobobobo21bobobobo21bobobo
bo21bobobobo21bobobobo21bobobobo$188b2o39b2obobobobo2bo15b2obobobobo2b
o15b2obobobobo2bo15b2obobobobo2bo15b2obobobobo2bo15b2obobobobo2bo15b2o
bobobobo2bo15b2obobobobo2bo15b2obobobobo2bo$188b2o39bo2bo2b2ob4o15bo2b
o2b2ob4o15bo2bo2b2ob4o15bo2bo2b2ob4o15bo2bo2b2ob4o15bo2bo2b2ob4o15bo2b
o2b2ob4o15bo2bo2b2ob4o15bo2bo2b2ob4o$231b2o4bo21b2o4bo21b2o4bo21b2o4bo
21b2o4bo21b2o4bo21b2o4bo21b2o4bo21b2o4bo$237bobo25bobo25bobo25bobo25bo
bo25bobo25bobo25bobo25bobo$238b2o26b2o26b2o26b2o26b2o26b2o26b2o26b2o
26b2o$175b2o3bo$175bo3bobo$176bo3bobo$177bo3bobob2o$168b2o5bob4o2bob2o
$168bo5bobo3bobo$121b2o46b3o2bobo2bo2b2ob2o$122bo48bo3bo3b2o2bobo$120b
o62bobo10b2o$120b5o14b2o43bo11b2o$125bo13bo2bo$122b3o12bobob2o$121bo
15b2obo$121b4o15bo$119b2o3bo3b2o10b3o$118bo2b3o4b2o13bo$118b2obo20b2o$
121bo$121b2o3$129b2o$130bo$127b3o22b2o$127bo17b2o5bobo$145b2o7bo$154b
2o2$141bo$140bobob2o$140bobobobo$137b2obobobobo2bo$137bo2bo2b2ob4o$
139b2o4bo$145bobo$146b2o!

EDIT: I ran the oscillator-checking script below for 9400 generations, and it didn't return:

Code: Select all

local g = golly()
min = 2147483648

-- initialize lists
local hashlist = {}     -- for pattern hash values
local genlist = {}      -- corresponding generation counts
local poplist = {}      -- corresponding population counts
local boxlist = {}      -- corresponding bounding boxes
local t = {}            -- corresponding not removing list of pops
local population = tonumber(g.getpop())

-- check if outer-totalistic rule has B0 but not S8
local r = g.getrule()
r = string.match(r, "^(.+):") or r
local hasB0notS8 = r:find("B0") == 1 and r:find("/") > 1 and r:sub(-1,-1) ~= "8"
----------------------------------------------------------------------

local function show_spaceship_speed(period, deltax, deltay, smallestphase)
    -- we found a moving oscillator
    if deltax == deltay or deltax == 0 or deltay == 0 then
        local speed = ""
        local speed2 = ""
        if deltax == 0 or deltay == 0 then
            -- orthogonal spaceship
            speed2 = speed2..(deltax + deltay)
            if speed2 == "" then
                speed2 = 1
            end
        else
            -- diagonal spaceship (deltax == deltay)
            speed2 = deltax
            if speed2 == "" then
                speed2 = 1
            end
        end
        if deltax == deltay then
            if period == 1 then
                if smallestphase < 15 then
                    g.show("Diagonal spaceship detected (speed = (1, 1)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                else
                    g.show("Diagonal spaceship detected (speed = (1, 1)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                end
            else
                if smallestphase < 15 then
                    g.show("Diagonal spaceship detected (speed = ("..speed2..", "..speed2..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                else
                    g.show("Diagonal spaceship detected (speed = ("..speed2..", "..speed2..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                end
            end
        else
            if period == 1 then
                if smallestphase < 15 then
                    g.show("Orthogonal spaceship detected (speed = (1, 0)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                else
                    g.show("Orthogonal spaceship detected (speed = (1, 0)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                end
            else
                if smallestphase < 15 then
                    g.show("Orthogonal spaceship detected (speed = ("..speed2..", 0)/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                else
                    g.show("Orthogonal spaceship detected (speed = ("..speed2..", 0)/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                end
            end
        end
    else
        -- deltax != deltay and both > 0
        local speed = deltay..", "..deltax
        if deltay > deltax then
            speed2 = deltay
            speed3 = deltax
        else
            speed2 = deltax
            speed3 = deltay
        end
        if 1 == 1 then
            g.show("Knightship detected (speed = ("..speed..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed3..")")
        end
    end
end
----------------------------------------------------------------------

local function oscillating()
    -- return true if the pattern is empty, stable or oscillating
    
    -- first get current pattern's bounding box
    local pbox = g.getrect()
    if #pbox == 0 then
        g.show("All cells are dead.")
        return true
    end
    
    local h = g.hash(pbox)
    
    -- determine where to insert h into hashlist
    local pos = 1
    local listlen = #hashlist
    while pos <= listlen do
        if h > hashlist[pos] then
            pos = pos + 1
        elseif h < hashlist[pos] then
            -- shorten lists and append info below
            for i = 1, listlen - pos + 1 do
                table.remove(hashlist)
                table.remove(genlist)
                table.remove(poplist)
                table.remove(boxlist)
            end
            break
        else
            -- h == hashlist[pos] so pattern is probably oscillating, but just in
            -- case this is a hash collision we also compare pop count and box size
            local rect = boxlist[pos]
            local population3 
            if tonumber(g.getpop()) == poplist[pos] and pbox[3] == rect[3] and pbox[4] == rect[4] then
                local period = tonumber(g.getgen()) - genlist[pos]
                local population3 = tonumber(g.getpop())
                if hasB0notS8 and (period % 2) > 0 and
                   pbox[1] == rect[1] and pbox[2] == rect[2] and
                   pbox[3] == rect[3] and pbox[4] == rect[4] then
                    -- ignore this hash value because B0-and-not-S8 rules are
                    -- emulated by using different rules for odd and even gens,
                    -- so it's possible to have identical patterns at gen G and
                    -- gen G+p if p is odd
                    return false
                end
                
                if pbox[1] == rect[1] and pbox[2] == rect[2] and
                   pbox[3] == rect[3] and pbox[4] == rect[4] then
                    -- pattern hasn't moved
                    if period == 1 then
                        population2 = tonumber(g.getpop())
                        g.show("Still life detected (cells = "..population2..")")
                    else
                        g.show("Oscillator detected (period = "..period..", systematic name "..smallestphase.."P"..period..")")
                    end
                else
                    local deltax = math.abs(rect[1] - pbox[1])
                    local deltay = math.abs(rect[2] - pbox[2])
                    show_spaceship_speed(period, deltax, deltay, smallestphase)
                return true
                end
            else
                -- look at next matching hash value or insert if no more
                pos = pos + 1
            end
        end
    end
    
    -- store hash/gen/pop/box info at same position in various lists
    table.insert(hashlist, pos, h)
    table.insert(genlist, pos, tonumber(g.getgen()))
    table.insert(poplist, pos, tonumber(g.getpop()))
    table.insert(t, pos, tonumber(g.getpop()))
    table.insert(boxlist, pos, pbox)
    table.sort(t)
    smallestphase = t[1]
    return false
    end


----------------------------------------------------------------------

local function fit_if_not_visible()
    -- fit pattern in viewport if not empty and not completely visible
    local r = g.getrect()
    if #r > 0 and not g.visrect(r) then g.fit() end
end

----------------------------------------------------------------------

g.show("Checking for oscillation... (hit escape to abort)")

local oldsecs = os.clock()
while not oscillating() do
    g.run(1)
    local newsecs = os.clock()
    if newsecs - oldsecs >= 1.0 then   -- show pattern every second
        oldsecs = newsecs
        fit_if_not_visible()
        g.update()
    end
end

fit_if_not_visible()

[dvgrn]

P47 PRNG...
EDIT: I ran the oscillator-checking script below for 47000 generations, and it didn't return...

That script gives a period of 22560 for your pattern, once you make it into an oscillator by adding a couple of eaters. A derivative of oscar.lua isn't going to be able to find oscillation when the pattern's bounding box keeps growing.

A link to the original posted location of your modified oscar.lua script would have been much more useful than quoting the script again,by the way, especially now that the header comments have gone missing. Without those comments, it would be hard for anyone to tell exactly what script you're running unless they waste their time doing code comparisons.

[Entity Valkyrie 2]

P47 PRNG...
EDIT: I ran the oscillator-checking script below for 47000 generations, and it didn't return...

That script gives a period of 22560 for your pattern, once you make it into an oscillator by adding a couple of eaters. A derivative of oscar.lua isn't going to be able to find oscillation when the pattern's bounding box keeps growing.

A link to the original posted location of your modified oscar.lua script would have been much more useful than quoting the script again,by the way, especially now that the header comments have gone missing. Without those comments, it would be hard for anyone to tell exactly what script you're running unless they waste their time doing code comparisons.

I meant 4700, not 47000
Oh, but the PRNG has just updated.

EDIT: My modified Oscar script’s only difference with the original is that its output is slightly different

Still life (e.g. eater 2):
Original Oscar output: This pattern is stable.
Modified Oscar output: Still life detected (cells = 19)

Oscillator (e.g. pentadecathlon)
Original: Oscillator detected (period = 15)
Modified: Oscillator detected (period = 15, technical name 12P15)

Spaceship (e.g. weekender)
Original: Spaceship detected (speed = 2c/7)
Modified: Orthogonal spaceship detected (speed = (2,0)/7, technical name 36P7H2V0)

[nokangaroo]

I may be on to something. Here is the PRNG oscillation tester in p60. The switchable inserter (here used with Paul Callahan's p60 Herschel factory) is taken from ceebo's glider gun collection (https://github.com/ceebo/glider_guns), which unfortunately seems to be unmaintained. The p60 edge-shooter is taken from the "jslife" collection. The pentadecathlon near it will delete the block when it moves too far up, and the karelsp15+eater at the bottom will catch the beam (with or without the block), to prevent breaking the pattern when trying a new PRNG. You will have to put a new block in manually - I don't know how to do that automatically (it would be easy with the original blockpuller, but the 3rd glider which may or may not be present makes it hard).

The PRNG has K=19, and the beam zaps down to the mark every 49606200 generations (413385*120). For higher K values you may have to extend the loop by multiples of 60, which has no effect on the result (the amplitude seems to depend a bit on the loop length, but not the period). The HashLife algorithm seems to mess up the generation count at high speeds. Don't run it faster than 2^15 or so.

Code: Select all

x = 709, y = 580, rule = LifeHistory
442.A5.2A$442.3A4.A$445.A3.A.AB3.B2A3B$444.2A4.2AB.3BABA4B$444.4B4.8B
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.A.2BA2B$430.2A7B3A9B2A4BAB.2BAB2A4.AB2A2B$430.2AB.6B2A15BAB2.4B.4A.
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2.3B.A.A.2A$447.7B29.A3B118.10B2A3B4.B18.8BA2BA3B4.B16.BABA.2A2B2A.A
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2A$440.2A.A12B26.ABAB117.4B.4B29.4B.4B26.2A7B2.2A.AB3A2.A$445.11B25.
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4B8.A16.4B5.4B8.A16.7B4.A.5A$446.3B2A5B13.4B7.7B113.4B7.4B5.3A15.4B7.
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4B6.A$447.9B11.B5A2B.B3.BA3BAB110.4B13.7B14.4B13.7B16.4B4.4B7.A$447.
8B10.2B.2B.BAB.3B2.2B3A2B109.4B13.6B15.4B13.6B17.4B6.4B5.2A$448.8B9.
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6B$449.3BAB4.3A4.B.2B5AB5.8B100.4B13.4B5.2A3B2A5.4B13.4B5.7B7.4B18.5B
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4B18.4B.AB3ABA$442.A4.2BA3BA2.2B13.B4.4B2.7B76.BA2BA14.4B4.A8.4B11.3B
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14.2BA2B34.4B4.3BABA4.AB3AB30.4B3.5B3.2AB.3BA2BA3B2A5B18.B2A3B$378.2A
2B7.4B9.9A18.ABAB2.4B29.A5BA4BA2BA6BABA11B29.4B15.2BA2B35.4B5.3B.4A.B
3A30.4B6.4B4.4B2A5B3AB2A2B2A3B4.B9.4BA$377.2B2A9.4B5.3A2.5B2.3A14.B2A
B2.4B31.4BA5B2ABA8BA4B4.B30.4B17.3A37.4B4.AB.2B.A2B.BAB29.2A2B8.4B3.
2B2A3BA3BA3BA3BABA9B7.BA2BAB$376.2BAB11.4B4.A2.A.5B.A2.A13.3BA2.4B32.
A3BA3B3A8B42.4B18.3A38.4B5.2BA2B2AB.B29.2B2A10.4B3.3B2A5BABAB.6BA8B7.
4BA$358.B4.4B2A3.7B13.4B4.2A4.B4.2A13.4B2.4B6.2B27.A4.B2A3B2.4B41.4B
20.B40.4B4.A4B3AB7.2A20.2BAB12.3BA3.3BA2BA2B2A6BA2BA7B2A5.7B$356.10BA
3BA7B15.2B2A21.2A5.4B2.4B5.6B38.4B40.4B63.4B5.3B2AB9.A19.4B14.B2AB4.
2BABAB.B2.8BA5B.B2A5.7B$356.9BA5BA7BA3B11.2A2B20.A5.4B2.4B4.10B37.4B
38.4B65.4B4.2BAB11.A.AB3.3B2AB3.7B10.2A4.ABAB15.3BABA4B4.B6.2ABAB2A$
355.2A8BA3BAB2A4BABA5B10.BA5B3.BA4B4.BA.A4.4B2.4B3.BA2BAB2ABA2BAB36.
4B36.4B67.4B4.B14.2AB.3BA2BA10B11.A6.4B16.B2A3B13.7B$355.2AB.6BA5BA2B
.2A10B9.8BABA6B2.B2A4.4B2.A3B3.B2A2BA4BA2B2AB36.4B34.4B69.8B2.B2A3B8.
4BA7B3A3BA5B3.BA.A7.7B3.B2A3B22.A5BA$356.B4.5BA3BA4B2A11B.B.B2A9BABA
10B5.4B2.BABA5.BA2BAB2ABA2BAB38.4B32.4B71.10BA2BA3B6.4BA6BA3B5A6B.B2A
9.10BABA4B20.7B$363.4B2A.B2.2B2A15B3A7BA2BA10B4.4B2.2B2A8.10B41.4B30.
4B67.5BA3B3A7BA3B6.3BA7BA2B.2AB2A7B6.5BA4B2A6BA4B20.2AB2A$375.2BABA5B
2.7B2ABAB.3BABA9B4.4B2.4B11.6B44.4B28.4B61.B4.6B5A3BA6BA4B6.3BA2BA3BA
3B2AB3A6B4.6BABA2BA2BA2BA2BA5B19.2BA2B$377.2BA3B4.7BA2BA6BABA6B5.4B2.
4B14.2B47.4B26.4B61.2AB.7B2AB2A.2BA7BA4B8.3B2AB.B2.4AB2A6B4.7B2ABA.3A
6BA5B20.4B$388.6B2ABA3B2.B.BA4B6.4B2.4B65.4B24.4B62.2A8B3AB2A3BA3BA2B
A3B.B2A18.4A6B4.8B2AB2A6BABA4B.B2A18.4B$389.3B3A4B17.4B2.4B67.2B2A22.
4B64.10B2AB4A2.B.B2A3B3.BA.A19.A5B6.8B2ABA2B2.B.B2A3B3.BA.A18.4B$391.
B2A3B18.4B2.4B69.2A2B20.4B65.11B4A18.A29.2AB.6BABAB18.A17.4B$414.ABAB
2.4B71.BA2B18.4B68.B4.5BA20.2A27.A.AB3.5BA20.2A15.B2A2B$413.B2AB2.4B
73.4B16.4B129.A50.2A$412.3BA2.4B75.4B14.4B129.2A$411.4B2.4B77.4B12.4B
$410.4B2.4B79.4B10.4B$409.4B2.4B81.4B8.4B$408.4B2.4B83.4B6.4B$407.4B
2.A3B85.4B4.4B$406.4B2.BABA87.4B.5B$405.4B2.2B2A89.8B$404.4B2.4B91.5B
$403.4B2.4B91.7B$402.4B2.4B92.7B$401.4B2.4B92.7B2A$400.4B2.4B92.6B.2A
2B$399.ABAB2.4B92.3AB.B3.BA2B$398.B2AB2.4B92.3BA7.4B$397.3BA2.4B92.3B
A9.4B$396.4B2.4B92.4B11.4B$395.4B2.4B92.4B13.4B15.2A$394.4B2.4B92.4B
15.4B13.B2A2B$393.10B92.4B17.4B13.4B$392.6BA3B92.4B19.4B13.4B$391.7BA
BA92.4B21.4B11.4B$390.8B2A92.4B23.4B10.4B$389.10B92.4B25.4B8.5B$388.
11B91.4B27.4B7.5B$387.12B90.4B29.4B5.7B$386.13B89.4B31.2B2A4.3BA3B$
385.14B88.4B33.2A2B3.2B3A2B$384.ABA12B87.4B30.B4.BA2B2.B5AB$383.B2A3B
ABA6B87.4B29.4B4.4B.2A3B2A$382.3BA3B2A6B87.4B28.3B3A5.11B$381.9BA5B
87.4B28.3BA3BAB4.9B$380.15B87.4B28.B.B2ABABAB5.2B2A4B$379.15B87.4B28.
3B.A2B.BA.2B3.BA2B.2B$378.15B87.4B29.2B2A.4A.3A3.4BA2B$377.6BA8B87.4B
29.2B2ABA4.A3BAB.BA2BAB$376.7BABA5B87.4B30.BA3BA.2A.A.ABA3B2AB2A$375.
8B2A5B87.4B30.2BABA.A.2A.A3BAB2.2B2A2B$374.15B87.4B32.BA3BA4.AB2A2B2.
5B$373.15B87.4B35.3A.4A.2A2B2.7B$372.15B87.4B36.2B.AB.2BA.3B2.2A3B2A$
371.15B87.4B39.BABAB2AB.B3.2A3B2A$370.15B87.4B40.BA3BA3B4.B5AB$369.AB
A12B87.4B43.3A3B5.2BABA2B$368.B2A12B87.4B44.4B7.7B$367.3BA11B87.4B46.
B10.B3AB$366.15B87.4B58.5B$365.15B87.4B59.4B$364.15B87.4B60.4B$363.
15B87.4B60.4B$362.6BA8B87.4B62.4B$361.7BABA5B87.4B63.2B2AB$360.8B2A5B
87.4B66.2A$359.15B87.4B$358.15B87.4B$357.15B87.4B$356.15B87.4B$355.
15B87.4B$354.ABA12B11.2A74.4B$353.B2A3BABA6B11.B2A2B71.4B$352.3BA3B2A
6B9.2A2.4B70.4B$351.9BA5B10.A4.4B68.4B$350.16B2.B.B2.BA.A3.4B13.A.2A.
2AB47.4B$349.23B.B2A4.4B13.2A.ABABAB45.4B$348.26B5.5B18.BA3B43.4B$
347.6BA20B5.5B19.4B42.4B$346.7BABA18B4.7B19.4B40.4B$345.8B2A10B2.7B4.
7B8.4B2.B.3B.4B38.4B$344.20B2.9B3.2ABAB2A8.4B.18B30.4B$343.16BA3B3.5B
.B3A2.7B7.2A5B2A16B28.4B$342.16BA3B4.5B2.A3B.A5BA7.2A5B2A16B27.4B$
341.17B3A5.5B3.A10B8.B.22B26.4B$340.20B6.5B4.4B2AB2A11.B2A21B23.4B$
339.ABA17B7.5B5.5BA2B12.2A7B2.13B21.4B$338.B2A17B8.5B5.4B.2B13.8B6.
10B20.4B$337.3BA16B9.5B5.7B15.7B7.7B20.4B$336.20B10.5B5.3BA2B15.10B6.
8B17.4B$335.20B11.2BA2B6.BABAB15.13B2.7B2A16.4B$334.20B12.B3AB6.A3BAB
15.6B4A11B2AB14.4B$333.20B13.BAB2A6.5A18.3BA18B.B11.4B$332.6BA13B5.A
8.2B3A5.2A3B2A17.2BA4BA8B2A5B2A9.4B$331.7BABA10B4.3A8.2B2AB5.B5AB17.
3BAB2A9B2A5B2A8.4B$330.8B2A10B4.A11.5B5.2B3A2B18.3BA14B.4B8.4B$329.
20B5.2A10.5B5.3BA3B25.4B.3B.B2.4B7.4B$328.16BA3B4.4B10.5B5.7B26.4B17.
4B$327.16BA3B4.3B12.5B5.7B27.4B15.4B$326.17B3A5.3B5.2A5.5B6.5B29.4B
13.4B$325.20B5.5B3.A.A5.5B6.5B30.4B11.4B$324.ABA17B6.5B3.A.A.2A2.5B6.
4B32.4B9.4B$323.B2A3BABA11B6.7B3.A.A.A2.5B6.4B33.4B7.4B$322.3BA3B2A
11B7.3BA3B5.A4.5B5.4B35.4B5.4B$321.9BA10B8.2B3A2B3.BA2BA2.5B6.4B35.4B
3.4B$320.20B9.B5AB3.BA3B2.2BA2B6.2B2AB35.4B.4B$319.20B10.2A3B2A2.2BA
3BA.B3AB8.2A35.9B$318.20B11.7B3.BA3B.B2ABAB46.7B$317.6BA13B13.5B4.BA
2BA2.3A2B46.5B2A$316.7BABA10B13.6B6.A4.B2A2B45.2B2A2B2AB$315.8B2A10B
15.B3AB4.A.A.A2.5B5.2A37.3B2AB.4B$314.20B16.B3A2B2.A.A.2A2.5B3.2B2AB
36.6B2.4B$313.16BA3B16.7B2.A.A5.5B3.4B37.4B5.4B$312.16BA3B17.BA.4B3.
2A5.5B2.4B37.4B7.3B$311.17B3A17.BABA4B10.5B3.4B35.4B10.B2A$310.20B18.
A3BA4B9.5B3.4B34.4B11.BA.A$309.ABA17B18.2B3A6B8.5B3.5B32.4B15.A$308.B
2A17B19.2A3B2A.3BA7.5B3.5B31.4B16.2A$307.3BA16B20.7B2.ABAB6.5B2.7B29.
4B$306.20B21.7B3.2A2B5.2BA2B2.7B28.4B$305.20B22.7B4.4B4.2BA2B2.3BA3B
27.4B$304.20B23.7B5.4B3.BABAB2.2B3A2B26.4B$303.20B25.5B7.4B2.2B3AB.B
5AB25.4B$302.6BA13B26.6B7.7B3A2B2A3B2A24.4B$301.7BABA10B28.4B9.5B.A5B
5A24.4B$300.8B2A10B30.4B9.11B5A23.4B$299.20B33.3B9.B.4B.3BA.BA23.4B$
298.16BA3B34.3B10.4B2.2BA3BA22.4B$297.16BA3B34.5B8.4B3.2BA3B22.4B$
296.17B3A35.5B7.4B5.BAB2A21.4B$295.20B35.7B5.4B6.2BA3B19.4B$294.ABA
17B36.7B4.2A2B7.5B19.4B$293.B2A17B37.2B3A2B3.ABAB7.7B17.4B$292.3BA16B
38.BA3BAB2.3BA8.2A3B2A16.4B$291.20B39.A5BA.4B9.A5BA15.4B$290.20B40.A
5BA4B10.7B14.4B$289.20B42.9B11.BA3BAB13.4B$288.20B43.5BA2B12.2B3A2B
12.4B$287.6BA13B45.2B.2A2B13.5B12.4B$286.7BABA10B46.3B2A2B13.5B11.4B$
285.8B2A10B48.A2B2AB13.4B11.4B$284.20B49.BABAB14.4B10.4B$283.16BA3B
49.2B2A2B13.4B10.4B$282.16BA3B51.5B14.4B8.4B$281.17B3A51.7B13.2B2AB6.
4B$280.20B52.2A3B2A15.2A6.4B$279.ABA17B53.2A3B2A22.3AB$278.B2A17B54.
7B21.3BA$277.3BA16B55.2B3A2B20.3BA$276.20B56.2B3A2B19.4B$275.20B58.2B
A2B19.4B$274.20B59.5B18.4B$273.20B61.4B17.4B$272.6BA13B62.4B16.4B$
271.7BABA10B64.4B14.4B$270.8B2A10B64.4B14.4B$269.20B64.B2A2B13.4B$
268.16BA3B66.2A14.4B$267.16BA3B82.4B$266.17B3A82.4B$265.20B82.4B$264.
ABA17B82.4B$263.B2A3BABA11B82.4B$262.3BA3B2A11B82.4B$261.9BA10B82.4B$
260.20B82.4B$259.20B82.4B$258.20B82.4B$257.6BA13B82.4B$256.7BABA10B
82.4B$255.8B2A10B82.4B$254.20B82.4B$253.16BA3B82.4B$252.16BA3B82.4B$
251.17B3A82.4B$250.20B82.4B$249.ABA17B82.4B$248.B2A17B82.4B$247.3BA
16B82.4B$246.20B82.4B$245.20B82.4B$244.20B82.4B$243.20B82.4B$242.6BA
13B82.4B$241.7BABA10B82.4B$240.8B2A10B82.4B$239.20B82.4B$238.16BA3B
82.4B$237.16BA3B82.4B$236.17B3A82.4B$235.20B82.4B$234.ABA17B82.4B$
233.B2A17B82.4B$232.3BA16B82.4B$231.20B82.4B$230.20B82.4B$229.20B82.
4B$228.20B82.4B$227.6BA13B82.4B$226.7BABA10B82.4B$225.8B2A10B82.4B$
224.20B82.4B$223.16BA3B82.4B$222.16BA3B82.4B$221.17B3A82.4B$220.20B
82.4B$219.ABA17B82.3AB$218.B2A17B82.3BA$217.3BA16B82.3BA$216.20B82.4B
$215.20B82.4B$214.20B82.4B$213.20B82.4B$212.6BA13B82.4B$211.7BABA10B
82.4B$210.8B2A10B82.4B$209.20B82.4B$208.16BA3B82.4B$207.16BA3B82.4B$
206.17B3A82.4B$205.20B82.4B$204.ABA17B82.4B$203.B2A3BABA11B82.4B$202.
3BA3B2A11B82.4B$201.9BA10B82.4B$200.20B82.4B$199.20B82.4B$198.20B82.
4B$197.6BA13B82.4B$196.7BABA10B82.4B$195.8B2A10B82.4B$194.20B82.4B$
193.16BA3B82.4B$192.16BA3B82.4B$191.17B3A82.4B$190.20B82.4B$189.ABA
17B82.3AB$188.B2A17B82.3BA$187.3BA16B82.3BA$186.20B82.4B$185.20B82.4B
$184.20B82.4B$183.20B82.4B$182.6BA13B82.4B$181.7BABA10B82.4B$180.8B2A
10B82.4B$179.20B82.4B$178.16BA3B82.4B$177.16BA3B82.4B$176.17B3A82.4B$
175.20B82.4B$174.ABA17B82.4B$173.B2A17B82.4B$172.3BA16B82.4B$171.20B
82.4B$170.20B82.4B$169.20B82.4B$168.20B82.4B$167.6BA13B82.4B$166.7BAB
A10B82.4B$165.8B2A10B82.4B$164.20B82.4B$163.16BA3B82.4B$162.16BA3B82.
4B$161.17B3A82.4B$160.20B82.4B$159.ABA17B82.4B$158.B2A17B82.4B$157.3B
A16B82.4B$156.20B82.4B$155.20B82.4B$154.20B82.4B$153.20B82.4B$145.A6.
6BA13B82.4B$144.A.A4.7BABA10B82.4B$145.A4.8B2A10B82.4B$149.20B82.4B$
148.16BA3B82.4B$148.15BA3B82.4B$148.15B3A82.4B$147.18B82.4B$146.B4A
13B82.4B$146.A16B82.4B$145.A4BA11B82.4B$146.A3BA10B82.4B$146.14B82.4B
$146.5B2A6B82.4B$147.4B2A5B82.4B$150.7B82.4B$150.6B82.4B$150.5B82.4B$
149.5B82.4B$149.4B82.4B$148.4B82.4B$147.4B82.4B$146.4B82.4B$145.4B82.
4B$144.4B82.4B$143.4B82.4B$142.4B82.4B$141.4B82.4B$140.4B82.4B$139.4B
82.4B$138.4B82.4B$137.4B82.4B$136.4B82.4B$135.4B82.4B$134.4B82.4B$
133.4B82.4B$132.4B82.4B$131.4B82.4B$130.4B82.4B$129.4B82.4B$128.4B82.
4B$127.4B82.4B$126.4B82.4B$125.4B82.4B$124.4B82.4B$123.4B82.4B$122.4B
82.4B$121.4B82.4B$120.4B82.4B$119.4B82.4B$118.4B82.4B$117.4B82.4B$
116.4B82.4B$115.4B82.3AB$114.4B82.3BA$113.4B82.3BA$112.4B82.4B$111.4B
82.4B$110.4B82.4B$109.4B82.4B$108.4B82.4B$107.4B82.4B$106.4B82.4B$
105.4B82.4B$104.4B82.4B$103.4B82.4B$102.4B82.4B$101.4B82.4B$100.4B82.
4B$99.4B82.4B$98.4B82.4B$97.4B82.4B$96.4B82.4B$95.4B82.4B$94.4B82.4B$
93.4B82.4B$92.4B82.4B$91.4B82.4B$90.4B82.4B$89.4B82.4B$88.4B82.4B$87.
4B82.4B$86.4B82.4B$85.4B82.3AB$84.4B82.3BA$83.4B82.3BA$82.4B82.4B$81.
4B82.4B$80.4B82.4B$79.4B82.4B$78.4B82.4B$77.4B82.4B$76.4B82.4B$75.4B
82.4B$74.4B82.4B$73.4B82.4B$72.4B82.4B$71.4B82.4B$70.4B82.4B$69.4B82.
4B$68.4B82.4B$67.4B82.4B$66.4B82.4B$65.4B82.4B$64.4B82.4B$63.4B82.4B$
62.4B82.4B$61.4B82.4B$60.4B82.4B$59.A3B82.4B$58.A3B82.4B$57.B3A82.4B$
56.4B82.4B$55.4B82.3AB$54.4B82.3BA$53.4B82.3BA$52.4B82.4B$51.4B82.4B$
50.4B82.4B$49.4B82.4B$48.4B82.4B$47.4B82.4B$46.4B82.4B$45.4B82.4B$44.
4B82.4B$43.4B82.4B$42.4B82.4B$9.2B30.4B82.4B$7.B4AB27.4B82.4B$5.2B6A
2B24.4B82.4B$3.3B8A3B21.4B82.4B$2.3B2A6B2A3B19.4B82.4B$3.3B8A3B19.4B
82.4B$5.2B6A2B20.4B82.4B$7.B4AB21.4B82.4B$9.2B22.4B82.4B$6.3B2.3B18.
4B82.4B$4.3BAB2ABA3B15.4B82.4B$3.3B2AB2AB2A3B13.4B82.4B$4.3BAB2ABA3B
13.A3B82.4B$6.2B4.2B14.A3B82.4B$27.B3A82.4B$26.4B82.4B$25.4B82.4B$24.
4B82.4B$23.4B82.4B$22.4B82.4B$21.4B82.4B$20.4B82.4B$9.2A8.4B82.4B$8.A
.A7.4B82.4B$8.A8.4B82.4B$7.2A7.4B82.4B$15.4B82.4B$14.4B82.4B$2A5.2A4.
4B82.4B$.A5.2A2B.4B82.4B$.A.AB3.7B82.4B$2.2AB.8B82.4B$4.2B2A5B82.4B$
4.BABA5B81.4B$5.BA7B79.4B$7.8B77.4B$6.A.B3.4B75.4B$5.BAB5.4B73.4B$5.
3B6.4B71.4B$4.A3BA6.4B69.4B$2.3A.A.3A5.4B67.4B$.A3.2AB3.A5.4B65.4B$.A
.2A2.2ABA.A5.2BAB63.4B$2.A2.2A2B2A.A6.2B2A61.4B$3.2A2.2ABA.2A6.2A2B
59.4B$5.A2.A.A.A2.A5.4B57.4B$5.4A.2A2.2A6.4B55.4B$9.A13.4B53.4B$7.A.A
14.4B51.4B$7.2A16.4B49.4B$26.4B47.4B$27.4B45.4B$28.4B43.4B$29.4B41.4B
$30.4B39.4B$31.4B37.4B$32.4B35.4B$33.4B33.4B$34.4B31.4B$35.4B29.4B$
36.4B27.4B$37.4B25.4B$38.4B23.4B$39.4B21.4B$40.4B19.4B$41.4B17.4B$42.
4B15.4B$43.4B13.4B$44.4B11.4B$45.4B9.4B$46.4B7.4B$47.4B5.4B$48.4B3.4B
$49.4B.4B$50.7B.BA4B$51.8B2A5B4.B$52.2B2A4B2A6B.B2A$53.B2A4B3A7B2A$
53.B2A4B2A9B$51.2AB2.3B2A10B$50.A.AB4.BA4B4.B$50.A$49.2A!

Here is a p46 tester testing K=22 (p385875876). The edge-shooter is my own this time (I think) and inspired by the jslife p60 (it will delete the block when it moves too far up. Together with the eater+oscillator arrangement at the bottom this will prevent breaking the pattern when you start with a different PRNG):

Code: Select all

x = 965, y = 809, rule = LifeHistory
866.2A58.4B3.B.9B.B3.4B$866.A.A5.2A50.4A.6B2A9B.4B$868.A4.A.A49.A3BA
6BA2BA12B2A$864.4A.2A2.A51.A10BA2B2A11B2A$864.A2.A.A.A.2A51.A.2ABA4BA
2BA11B.B$638.2A5.2A6.2A5.2A204.BABABA.A54.B3A6BA12B$634.2A.B2AB3.B2AB
.2A.A2BA3.A2BA.2A201.B2ABA.A51.3B.B.3B$634.2A.3B5.3B.2A.A2B5.2BA.2A
202.2B.BA52.4B3A6BA12B$635.7B.9BA2BAB.BA2BA2B51.2A5.2A142.3B53.5B2ABA
4BA2BA11B.B$637.5B.5B4.BAB2A.2ABAB52.B2AB3.B2AB132.2A6.4B52.5BA8BA2B
2A11B2A$637.5B.5B4.2A3B.3B2A49.AB.3B5.3B.BA130.A6.B2A3B49.7B2A6BA2BA
12B2A$636.6B.6B2.B2A3B.3B2AB47.A.A5B3.5BA.A129.A.AB3.B2A3B14.A33.9BA
7B2A9B.4B$637.5B.5B4.3A2B.2B3A48.2A.6B.6B.2A130.2AB.10B10.3A32.2A7B.B
.3B.9B.B3.4B$636.6B.6B2.3B3A.3A3B51.5B.5B136.13B8.A34.ABAB2.4B$636.6B
.6B2.5BA.A5B51.5B.5B136.14B7.BA32.3BA3.4B$636.6B.6B2.2BA2BA.A2BA2B50.
2B2A2B.2B2A2B135.15B3.A3BA31.4B5.4B$636.6B.6B2.BA2BAB.BA2BAB50.6B.6B
137.8B2.4B2.3B32.4B7.4B$636.6B.6B2.2B2A2B.2B2A2B50.BA4B.4BAB137.6B5.
3BA4BA7.2A21.4B9.4B$636.6B.6B2.6B.6B50.BA3BA.A3BAB136.2A7B4.2BA2B3A8.
A20.4B5.A5.4B$636.6B.6B2.6B.6B50.BA3BA.A3BAB135.ABAB4.2A5.7B2AB3.B.A.
2A16.4B5.A.A5.4B$636.B2ABAB.BAB2AB2.6B.6B50.2BABAB.BABA2B134.3BA5.A6.
2B2A3BA2BA.B3A2.A15.4B6.A.A6.4B$636.BA2BAB.BA2BAB2.6B.6B50.3BA2B.2BA
3B133.4B7.3A3.2BA2BA2BAB3AB2.2A15.4B6.2A.2A6.4B$637.B3AB.B3AB4.5B.5B
51.6B.6B132.4B10.A3.2BA2BABA2B6A16.4B6.3B.3B6.4B$636.6B.6B2.13B50.6B.
6B131.4B11.A.2AB.B3AB2A3.2B.A15.4B6.4B.4B6.4B$637.5B.5B4.12B51.5B.5B
131.4B10.2A.A.AB.B4A2B2.B3A15.4B6.5B.5B6.4B$637.5B.5B4.12B50.6B.6B
129.4B11.A2.A5.BABA4.A17.4B7.2BA2B.2BA2B7.4B$635.12B6.4B.5B52.5B.5B
129.4B14.2A5.3AB5.5A11.4B7.2B3AB.B3A2B7.4B$634.9B.3B4.13B51.5B.5B128.
4B7.A13.2B2A8.A2.A9.4B9.2A2BA.A2B2A9.4B$635.4B.5B6.6B.5B53.12B125.4B
8.3A10.4B11.2A8.4B9.BA3BA.A3BAB9.4B13.A$634.5B.5B6.4B2.2A5B13.2A4.2A
31.3B.9B123.4B12.A8.4B21.4B10.BAB2AB.B2ABAB10.4B10.3A$634.5B.6B5.2B2A
B.2A4B14.A.A2.A.A33.5B.4B123.3AB12.2A7.4B21.4B11.B2A3B.3B2AB11.2BAB8.
A$633.3BA2B.2BA4B6.2A3.6B14.AB2.BA34.5B.5B121.3BA13.5B3.4B21.4B12.6B.
6B12.2B2A7.2A$634.B3AB.B3A4B9.3B2AB.B.9B2.2B4.2B2.9B.B3.4B12.6B.5B
120.3BA16.3B2.4B21.4B13.6B.6B13.2A2B3.5B$633.BA2B2A.2A2BA4B7.4B3A5B3A
17BA11B.4B11.7B.6B118.4B7.2A7.9B21.4B14.6B.6B14.4B2.3B$633.B3A2B.2B3A
5B7.3B3A3BA4BA8B2A5B2A15B2A9.8B.5B118.4B8.A8.8B21.4B15.6B.6B15.9B7.2A
$633.6B.6B.4B7.2BA5BA5BA7B2A4B2A16B2A8.9B.6B116.4B6.2A.A.B3.10B21.2A
2B16.6B.6B16.8B8.A$617.2A5.2A7.6B.6B2.3BA7.BABA8BA7B.2B.4B2A2B2A10B.B
8.A9B.6B115.4B7.A2.3AB.2B2A7B20.ABAB17.6B.6B17.10B3.B.A.2A$615.2B2AB
3.B2A2B5.6B.6B3.ABAB7.ABA6B2A7B6.19B9.BABA.3BA2B.2BA3B114.4B9.2A2.BA
3B2A7B19.3BA19.5B.5B18.7B2A2B.B3A2.A$615.4B5.4B5.6B.6B4.2A2B5.2ABAB
33.3B.A.3B5.2B2A2.2B3AB.B3A2B113.4B12.4A12B18.4B19.6B.6B17.7B2A3BAB2.
2A$615.6B.6B5.6B.6B5.4B3.11B2A7B6.15B5A2B4.4B3.B2AB2A.2AB2AB112.4B13.
A.2B3.7B.B2A15.4B21.5B.5B18.12B4A$615.6B.6B5.6B.6B6.4B2.A3BA8BA7B.2B.
4B2A2B2A5B2ABA2BA3B.4B4.3A3B.3B3A111.4B15.3AB2.7B.BA.A2.2A9.4B22.5B.
5B16.2AB.7B3.2B.A$617.4B.4B7.6B.6B7.5BA2BA4BA5BA7B2A4B2A9BA7BA6B5.6B.
6B110.4B19.A4.4B5.A2.A9.4B21.12B16.A.AB.7B2.B3A$616.5B.5B7.5B.5B9.4BA
2BA4BA4BA8B2A5B2A9B2ABA2BA6B6.2BA3B.3BA2B109.4B15.5A5.4B5.3A2.A6.4B
21.9B.3B16.A5.4B4.A$616.5B.5B6.6B.6B9.4B2A7B3A17BA10B5A6B7.6B.6B108.
4B15.A2.A8.4B7.3A5.4B23.4B.5B17.2A5.4B5.5A$615.6B.6B6.5B.5B11.4B.4B.
9B2.2B4.2B2.9B.3B.A.6B9.5B.5B76.2A30.4B16.2A11.4B5.A7.4B23.5B.5B23.4B
8.A2.A$616.5B.5B7.5B.5B12.4B.4B12.AB2.BA20.5B9.5B.5B76.A30.4B31.4B4.
2A5.4B24.5B.6B21.4B11.2A$615.6B.6B7.4B.4B14.4B.4B10.A.A2.A.A18.7B4.2A
.6B.6B.2A64.A.2A.2A.A29.4B33.3BA5B4.4B24.6B.6BA19.4B$615.6B.6B5.6B.6B
13.3BA.4B9.2A4.2A17.A3B.2B2A3.A.A5B3.5BA.A15.2A14.A32.2A.A.A.A16.2A
11.4B35.ABA3B5.4B26.5B.4BABAB17.4B3.2A5.2A$615.6B.6B5.6B.6B14.3BA.4B
32.A3B3.BABA3.AB.3B5.3B.BA17.A13.A.A36.BA3.3B7.A3.A2.A8.4B36.B2A5B2.
4B26.6B.5B2A2B15.4B2.2B2AB3.B2A2B$615.4B2A.2A4B5.4B5.4B15.3AB.4B30.B
3A5.A3B5.B2AB3.B2AB20.A.AB10.A.A18.2A15.2B2A.5B4.3A4.5A5.4B5.2A28.15B
27.6B.10B13.4B3.2B2A5.2A2B$615.3BA2B.2BA3B5.2B2AB3.B2A2B16.4B.4B28.4B
7.4B5.2A5.2A22.2AB.2A5.3A.2A17.A.A14.2B2A6B3.A12.A4.4B5.A29.14B28.6B.
6B.4B11.4B4.2B3AB.B3A2B$615.6B.6B7.2A5.2A19.4B.4B26.4B9.4B37.2B2AB3.A
4.B19.AB15.ABA6B3.2A8.3AB2.7B.BA.A29.13B29.6B.6B2.4B9.4B5.2BABAB.BABA
2B$615.2BA3B.3BA2B36.4B.BABA24.4B11.4B36.4B5.3AB2AB3.B.9B2.2B13.3BA
13B7.A.2B3.7B.B2A28.2AB.10B30.6B.6B3.4B7.BA2B8.A2BA.A2BA$615.2BA2BA.A
2BA2B37.4B.B2AB10.A11.4B13.4B35.6B5.A.2AB.6BA3BA8B4.A.2A.5BABA9B9.4A
12B29.A.AB3.B2A3B32.6B.6B4.4B5.2A2B8.3B2A.2A3B$615.2B3AB.B3A2B38.4B.A
3B7.3A10.4B15.4B31.9B7.9BA5BA6B2A3.2A.A7B2A8B2A6.2A2.BA3B2A7B29.A6.B
2A3B32.B3A2B.2B3AB5.4B3.2B2A9.5B.5B$616.5B.5B40.4B.4B5.A12.4B17.4B29.
7BA3B7.8BA12B2A7.17B2A5.A2.3AB.2B2A7B28.2A6.4B34.2AB2AB.B2AB2A6.4B.4B
9.6B.6B$615.13B40.4B.4B4.2A10.4B19.4B28.6B3A3B6.8B2A3BA6B.B9.15B.B6.
2A.A.B3.10B37.3B34.2ABABA.ABAB2A7.7B11.5B.5B$616.12B41.4B.9B9.4B21.4B
27.5B2A2BA3B3.B2A9B3A6B12.15B11.A8.8B37.2B.BA32.A3BA.A3BA9.3BAB11.6B.
6B$616.12B42.4B.3A3B10.4B23.4B22.A4.4BAB3A7B2A4B27.B.10B13.2A7.9B35.B
2ABA.A31.A2BAB.BA2BA9.4BA11.2B2A2B.2B2A2B$617.4B.5B44.5B3A3B8.A3B25.
4B21.3A3.3B2ABAB2A16B3A6B16.8B24.3B2.4B33.BABABA.A27.2A.2B3AB.B3A2B.
2A4.3B3AB10.2B2ABA.AB2A2B$615.18BA2BA35BA6BA3B6.BABA27.4B23.A.8BA2BA
13B2A3BA6B.B14.B3A2B23.5B3.4B30.A2.A.A.A.2A26.A.A5B3.5BA.A3.4B.4B9.2B
A2BA.A2BA2B$615.6B.15BA19B4A12BA3B3A2B6.2B2A29.4B21.A.A7B6A12BA12B2A
12.6B24.2A7.4B29.4A.2A2.A28.AB.3B5.3B.BA3.4B3.4B8.2B3AB.B3A2B$615.4B
2.12BA3BA18BA3BA16B3A3B4.4B31.4B20.2A9BA2BA13BA5BA6B2A13.A3BA25.A8.4B
32.A4.A.A29.B2AB3.B2AB5.4B5.4B7.6B.6B$615.2B2AB.13B4A22BA19B2A4.4B33.
4B22.2B.B2ABAB2A.B2.11BA3BA8B14.A3BA22.3A10.2B2A29.A.A5.2A30.2A5.2A5.
4B7.4B6.6B.6B$617.2A2.6B.28BA2BA17B.B3A3.4B35.4B18.2A4.BAB3AB5.8B.9B
2.2B17.3B23.A13.BABA28.2A51.4B9.4B5.6B.6B$623.3B5.4B43.2BAB2.4B37.4B
17.A6.2A2BA7.B2.4B13.AB16.3A38.A3B79.4B11.4B4.6B.6B$623.3B6.4B9.B.9B.
B3.4B12.4B2.4B39.4B18.A5.3AB11.4B11.A.A17.3B38.4B77.4B13.4B4.5B.5B$
624.B8.4B6.6BA3BA6B.4B11.4B2.4B41.4B16.2A3.B3AB13.2BAB10.2A17.74B2A
44B2A38B$634.4B3.7BA5BA9B2A9.4B2.4B43.4B20.2A17.2B2A27.5B2A67B4A19B2A
21B4A19B2A15B$618.4B3.B.11BA2.13BA9B2A8.4B2.4B45.4B20.A18.2A2B25.5B2A
B2A64B2AB2A18B2AB2A18B2AB2A18B2AB2A13B$618.4B.14B2A10BA3B2A8B.B8.4B2.
A3B47.4B16.3A20.4B23.4B2.B4A65B2A21B4A19B2A21B4A7B.4B$617.2A9B2A7BABA
B.8B3A10B9.4B2.A3B49.4B15.A23.4B21.4B5.2A90B2A44B2A15B$617.2A8B2A14B
14.3B.B.3B5.4B2.B3A51.4B39.4B19.4B5.A2B41.4B54.5B6.4B27.5B.6B$618.B.
8B5A17B3A13B4.4B2.4B53.4B39.4B17.4B5.ABA43.4B35.4B3.B.9B.13B27.7B2.4B
$620.9B4A16BA3B2A13B.4B2.4B55.4B39.4B15.4B6.3B44.4B9.B.9B.B3.4B5.4B.
9BABA2B2A10B28.7B.B2A2B$641.13BA13BABAB2.4B57.4B39.4B13.A3B6.5B44.B3A
6.9BABA2B2AB.4B4.2A12BA3BAB3A8B2.3B.B.3B.9B.3B.B.8B2.2A$620.9B4A15BA
5BA13B2AB2.4B59.4B6.B32.4B11.A3B7.5B45.A3B3.10BA3BAB3A4B2A3.2A13BA6B
2A41B$618.B.8B5A16BA3BA15BA2.4B50.2A9.4B4.B2A32.4B9.B3A7.6B29.4B3.B.
8BA3B2.11BA6B2A3B2A4.B.13B5ABA24B2A2BA4B2A7B$617.2A8B2A14B2.B.9B.3B.B
.6B2.4B50.A.A10.4B3.2A2B32.4B7.4B9.BABA2B28.4B.AB2A26B5ABA3B.B7.16B3A
7B.17BAB2A6B2A6B$617.2A9B2A13B21.4B2.4B51.BA12.4B2.3A2B32.4B5.4B9.3BA
4B26.2A3BA2B2A2B3A9B.14B3A4B26.3B.B.3B2.17BA6BABA6B$618.4B.17B.B21.4B
2.4B53.2B2.5BA3B.4B3A4B32.4B3.4B7.B.10B25.2A3BA6B2A12B29.16B3A4B7.15B
3A4B2A5B$618.4B3.B.9B.B24.4B2.4B52.10B2A8B3A5B32.4B.4B7.15B24.B.2B2A
3B3A26B3A4B7.B.13B5ABA3B.B5.3B.B.3B11.3B.B.3B$661.4B2.A3B52.2A8B3ABA
5BA2BAB.4B32.7B8.15B.B24.4BA3BA24B5ABA3B.B4.2A13BA6B2A3B2A7.12B3A4B2A
2B$660.4B2.BABA53.2A7B2A8B2AB3A2.4B32.5B8.6B3A8B2A44.11BA6B2A3B2A3.2A
12BA3BAB3A4B2A5.B.12BA6BABAB.B$659.4B2.2B2A55.B.7B2A12B4.4B31.5B4.2A.
A6BABA8B2A23.4BA3BA22BA3BAB3A4B2A4.4B.9BABA2B2AB.4B5.2A12BAB2A6B2AB2A
$658.4B2.4B59.7BA8BABAB5.4B29.7B3.A.2A.5BABA9B22.B.2B2A3B3A22BABA2B2A
B.4B5.4B3.B.9B.B3.4B5.2A12B2A2BA4B2A2B2A$657.BA2B2.4B74.3B2A7.4B27.4B
.3B10.17B19.2A3BA6B2A12B2.B.9B.B3.4B38.4B.17B.4B$656.2A2B2.BA2B61.7BA
6B2ABA9.4B25.4B4.B2A11.9B3.2A19.2A3BA2B2A2B3A11B60.4B3.B.9B.B3.4B$
655.2B2A2.2A2B59.B.7B2A9B2A9.4B23.4B5.BA.A9.10B3.A21.4B.AB2A13B.B$
654.4B2.2B2A59.2A7B2A8BAB2AB9.4B21.4B9.A9.4B.5B4.3A18.4B3.B.9B.B$653.
4B2.4B60.2A8B3ABA4BA2BA2B9.4B19.4B10.2A9.BA3.3B7.A$652.4B2.4B62.10B2A
9BA3B9.4B17.4B17.2A.A.A.A$651.4B2.4B65.2B2.5BA3B.B.ABA3B11.4B15.4B4.A
13.A.2A.2A.A$650.4B2.A3B65.BA14.6B3.2A8.4B13.4B4.A.A20.A$649.4B2.A3B
66.A.A14.4B2A.B2A2B7.4B11.4B5.A.A20.2A$648.4B2.B3A68.2A13.5B2A2.4B8.
4B9.4B5.2A.2A$647.4B2.4B85.5B.6B9.4B7.4B5.3B.3B$646.4B2.4B85.13B10.4B
5.4B5.4B.4B$645.ABAB2.4B87.5B.4B13.4B3.4B5.5B.5B$644.B2AB2.4B87.12B
13.4B2.3B6.5B.5B$643.3BA2.4B88.12B14.2B2A3B6.6B.6B$642.4B2.4B89.13B
14.2A3B8.2BA2B.2BA2B$641.4B2.4B91.5B.5B15.2BA2B7.2B3AB.B3A2B$640.4B2.
4B91.6B.6B13.7B6.B2ABAB.BAB2AB$639.4B2.4B92.6B.6B14.2B.4B5.6B.6B$638.
4B2.A3B93.6B.6B13.3B2.4B4.6B.6B$637.4B2.BABA94.6B.6B12.4B3.4B3.4BAB.B
A4B$636.4B2.2B2A95.2B2A2B.2B2A2B11.4B5.4B2.4BAB.BA4B$635.4B2.4B96.BA
2BAB.BA2BAB10.4B7.4B.6B.6B$634.BA2B2.4B62.2A33.4B2A.2A4B9.4B9.10B.6B$
633.2A2B2.4B64.A33.3BABA.ABA3B8.4B11.9B.6B$632.2B2A2.4B65.A.2A.2A27.
3BABA.ABA3B7.4B13.3BA4B.5B$631.4B2.4B67.A.A.A2.A26.A4B.4BA7.4B15.B2A
4B.6B$630.4B2.4B55.A7.3B3.AB3.2A25.A5B.5BA5.4B17.ABA3B.5B$629.4B2.4B
56.3A4.5B.4B30.5B.5B5.4B19.5B.5B$628.4B2.4B60.A3.10B6.2A22.BAB2A.2ABA
B4.4B20.5B.4B$627.4B2.A3B60.2A3.9B7.A24.2B2A.2A2B4.4B19.3B.9B$626.4B
2.A3B61.16B2.BA.A25.A2B.2BA4.4B20.12B$625.4B2.B3A64.15B.B2A27.2A.2A4.
4B20.5B.5B$624.4B2.4B64.2A6B3AB3A3B30.A.A4.4B21.5B.5B$623.4B2.4B65.2A
6BA5BA3B30.A.A3.4B21.6B.6B$622.ABAB2.4B67.B.5BA5BA3B31.A3.4B23.5B.5B$
621.B2AB2.4B70.6BA3BA3B35.4B23.6B.6B$620.3BA2.4B73.5B3A2B36.4B24.6B.
6B$619.4B2.4B75.8B36.4B25.6B.6B$618.4B2.4B71.A5.6B36.4B26.4B2A.2A4B$
617.4B2.4B71.A.A5.6B34.4B27.3BA2B.2BA3B$616.4B2.4B72.A.A5.5B34.4B28.
6B.6B$615.4B2.A3B71.3A.2A4.5B33.4B29.2BA3B.3BA2B$614.4B2.BABA71.A4.B
4.8B30.4B30.2BA2BA.A2BA2B$613.8B2A73.3AB2AB2.9B28.4B31.2B3AB.B3A2B$
612.10B76.A.2A11B28.4B33.5B.5B$611.BA8B79.13B27.4B33.6B.6B$610.2A8B
82.12B25.4B35.5B.5B$609.2B2A6B82.14B23.4B36.5B.5B$608.11B82.15B21.4B
38.4B.4B$607.12B81.6B.10B19.4B37.6B.6B$606.13B82.5B.5B2.4B17.4B38.6B.
6B$605.14B81.6B.6B2.4B15.4B39.4B5.4B$604.6BA8B81.6B.6B3.4B13.4B40.2B
2AB3.B2A2B$603.6BA8B82.6B.6B4.4B11.4B43.2A5.2A$602.7B3A5B83.2B3AB.B3A
2B5.4B9.4B$601.15B84.2B3AB.B3A2B6.4B7.4B$600.15B85.BAB2AB.B2ABAB7.4B
5.4B$599.ABA12B86.BAB2AB.B2ABAB8.4B3.4B$598.B2A12B87.2B2A2B.2B2A2B9.
4B.4B$597.3BA11B88.3BA2B.2BA3B8.9B$596.15B90.5B.5B10.7B$595.15B91.5B.
5B10.7B$594.15B88.2A.6B.6B.2A5.9B$593.15B89.A.A5B3.5BA.A4.6B.4B$592.
6BA8B91.AB.3B5.3B.BA5.6B2.4B$591.7BABA5B95.B2AB3.B2AB8.4B5.4B$590.8B
2A5B97.2A5.2A8.4B7.3B$589.15B114.4B10.B2A$588.BA13B114.4B11.BA.A$587.
2A13B114.4B15.A$586.2B2A11B114.4B16.2A$585.15B114.4B$584.15B114.4B$
583.15B114.4B$582.15B114.4B$581.6BA8B114.4B$580.6BA8B114.4B$579.7B3A
5B114.4B$578.15B114.4B$577.15B114.4B$576.ABA12B114.4B$575.B2A12B114.
4B$574.3BA11B114.4B$573.15B114.4B$572.15B114.4B$571.15B114.4B$570.15B
114.4B$569.6BA8B114.4B$568.7BABA5B114.4B$567.8B2A5B114.4B$566.15B114.
4B$565.BA13B114.4B$564.2A5BA7B114.4B$563.2B2A2B2A7B114.4B$562.8B2A5B
114.4B$561.15B114.4B$560.15B114.4B$559.15B114.2A2B$558.6BA8B9.2A7.2A
5.2A87.ABAB$557.6BA8B10.A7.B2AB3.B2AB85.3BA$556.7B3A6B2.B.B2.BA.A4.AB
.3B5.3B.BA81.4B$555.23B.B2A4.A.A5B3.5BA.A79.4B$554.26B6.2A.6B.6B.2A
78.4B$553.ABA13BA10B10.5B.5B81.4B$552.B2A14BABA8B10.5B.5B80.4B$551.3B
A14B2A2.7B9.6B.6B78.4B$550.20B2.9B8.6B.6B77.4B$549.20B3.10B7.6B.6B76.
4B$548.20B4.6B.B3A6.6B.6B75.4B$547.20B5.7B.A3B5.2B3AB.B3A2B74.4B$546.
6BA13B6.8B.A3B4.2BA2BA.A2BA2B73.4B$545.7BABA10B7.9B.4B3.2B2ABA.AB2A2B
72.4B$544.8B2A10B8.5B.4B.4B2.2B2A2B.2B2A2B71.4B$543.20B9.5B2.4B.4B.6B
.6B70.4B$542.BA14BA3B10.5B3.4B.4B.5B.5B25.2A43.4B$541.2A5BA8BA5B9.5B
4.4B.9B.6B23.B2A42.4B$540.2B2A2B2A9B3A3B9.5B5.4B.14B.B.B.B.2AB.9B.B2.
B43.4B$539.8B2A16B2.2A3.2BA2B6.2B2A.5B2AB2A3B2A5B3A6B2A3BA5B40.4B$
538.27B.B2A2B.B3AB7.2A2B.2BA2BABABAB3A7B3A4B3ABAB2A2B2A38.4B$537.20B.
7B2.4B.BAB2A8.BA2B.BABA3BA12B3A4B3A4BA2B2A37.4B$536.20B3.5B.6B.2B3A9.
5B3A2B.13B3A7BA3BAB.B37.4B$535.6BA13B3.13B.2B2AB10.8B3.5B2A3B3A10B3A
2B38.4B$534.6BA13B5.5B.4B3.5B11.5B6.3B.2A.B.2AB52.4B$533.7B3A10B5.3BA
5BA2B2.5B12.4B7.B4.16B3A2B36.4B$532.20B6.2B3A3B3AB2.5B13.4B9.B.15BA3B
AB.B33.4B$531.20B7.BA2B2AB2A2BAB.5B14.4B7.2A13B3A4BA2B2A31.4B$530.ABA
13BA3B9.A3BA.A3BA2.5B15.4B6.2A13B3ABAB2A2B2A30.4B$529.B2A14BABA9.3BAB
A.ABA3B.5B16.4B6.4B.9B2A3BA5B30.4B$528.3BA14B2A10.6B.6B.5B17.3BA5.4B
3.B.9B.B2.B31.4B$527.20B11.2AB2AB.B2AB2A.5B18.B2AB26.B2A28.4B$526.20B
12.2BA3B.3BA2B.5B19.ABAB25.B2A27.4B$525.20B13.6B.6B.5B20.4B9.B.9B.B2.
B28.4B$524.20B14.6B.6B.5B21.4B6.20B25.4B$523.6BA13B15.6B.6B.5B22.4B3.
7B2A12B2A23.4B$522.7BABA10B16.6B.6B.5B6.4B3.B.12B2.6B2A13B2A22.4B$
521.8B2A10B17.6B.6B.5B6.4B.25B5A8B.B22.4B$520.20B19.5B.5B2.5B5.2A14B
3A5B.7B4A8B23.4B$519.BA14BA3B19.6B.6B.5B5.2A12BA3BA7B40.4B$518.2A5BA
8BA3B21.5B.5B2.5B6.B.10BA4BA13B4A8B21.4B$517.2B2A2B2A9B3A22.5B.5B2.5B
8.10BA3BA13B5A8B.B18.4B$516.8B2A10B21.12B3.2BA2B29.6B2A13B2A16.4B$
515.20B21.9B.3B3.B3AB8.10BA3BA13B2A12B2A15.4B$514.20B23.4B.5B5.2ABAB
6.B.10BA4BA27B15.4B$513.20B23.5B.5B5.3A2B5.2A12BA3BA7B2.B.9B.B2.B16.
4B$512.6BA13B24.5B.6B4.B2A2B5.2A14B3A7B17.B2A13.4B$511.6BA13B24.6B.6B
A3.5B6.4B.17B.B19.2A12.4B$510.7B3A10B26.5B.7BA2.5B6.4B3.B.9B.B36.4B$
509.20B26.6B.5B3AB.5B61.4B$508.20B27.6B.15B60.4B$507.ABA13BA3B28.6B.
6B.8B59.4B$506.B2A14BABA29.6B.6B2.7B58.4B$505.3BA14B2A30.6B.6B3.6B57.
4B$504.20B31.B3A2B.2B3AB4.5B56.4B$503.20B32.B3A2B.2B3AB4.5B55.4B$502.
20B33.2B2A2B.2B2A2B4.5B54.4B$501.20B34.4BAB.BA4B5.4B.3B.9B.B3.4B30.4B
$500.6BA13B36.BA2BA.A2BAB5.7B2A2BABA9B.4B29.4B$499.7BABA10B36.BA3BA.A
3BAB2.8B3ABA3BA12B2A27.4B$498.8B2A10B38.BA2BA.A2BAB2.8B2A6BA13B2A26.
4B$497.20B39.B3AB.B3AB3.8BAB5A13B.B26.4B$496.BA14BA3B41.4B.4B6.7B3A
16B27.4B$495.2A14BA3B40.6B.6B4.3B.B.3B43.4B$494.2B2A13B3A41.6B.6B7.4B
3A16B25.4B$493.20B42.4B5.4B5.B.3BAB5A13B.B22.4B$492.20B43.2B2AB3.B2A
2B4.2A3B2A6BA13B2A20.4B$491.20B46.2A5.2A6.2A4B3ABA3BA12B2A19.4B$490.
20B63.4B.B2A2BABA9B.4B19.2A2B$489.6BA13B64.4B3.B.9B.B3.4B18.ABAB$488.
6BA13B109.3BA$487.7B3A10B109.4B$486.20B109.4B$485.20B109.4B$484.ABA
13BA3B109.4B$483.B2A14BABA109.4B$482.3BA14B2A109.4B$481.20B109.4B$
480.20B109.4B$479.20B109.4B$478.20B109.4B$477.6BA13B109.4B$476.7BABA
10B109.4B$475.8B2A10B109.4B$474.20B109.4B$473.BA14BA3B109.4B$472.2A5B
A8BA3B109.4B$471.2B2A2B2A9B3A109.4B$470.8B2A10B109.4B$469.20B109.4B$
468.20B109.4B$467.20B109.2A2B$466.6BA13B109.ABAB$465.6BA13B109.3BA$
464.7B3A10B109.4B$463.20B109.4B$462.20B109.4B$461.ABA13BA3B109.4B$
460.B2A14BABA109.4B$459.3BA14B2A109.4B$458.20B109.4B$457.20B109.4B$
456.20B109.4B$455.20B109.4B$454.6BA13B109.4B$453.7BABA10B109.4B$452.
8B2A10B109.4B$451.20B109.4B$450.BA14BA3B109.4B$449.2A5BA8BA3B109.4B$
448.2B2A2B2A9B3A109.4B$447.8B2A10B109.4B$446.20B109.4B$445.20B109.4B$
444.20B109.4B$443.6BA13B109.4B$442.6BA13B109.4B$441.7B3A10B109.4B$
440.20B109.4B$439.20B109.4B$438.ABA13BA3B109.4B$437.B2A14BABA109.4B$
436.3BA14B2A109.4B$435.20B109.4B$434.20B109.4B$433.20B109.4B$432.20B
109.4B$431.6BA13B109.4B$430.7BABA10B109.4B$429.8B2A10B109.4B$428.20B
109.4B$427.BA14BA3B109.4B$426.2A5BA8BA3B109.4B$425.2B2A2B2A9B3A109.4B
$424.8B2A10B109.4B$423.20B109.4B$422.20B109.4B$421.20B109.4B$420.6BA
13B109.4B$419.6BA13B109.4B$418.7B3A10B109.4B$417.20B109.4B$416.20B
109.4B$415.ABA13BA3B109.4B$414.B2A14BABA109.4B$413.3BA14B2A109.4B$
412.20B109.4B$411.20B109.4B$410.20B109.4B$409.20B109.4B$408.6BA13B
109.4B$407.7BABA10B109.4B$406.8B2A10B109.4B$405.20B109.4B$404.BA14BA
3B109.4B$403.2A14BA3B109.4B$402.2B2A13B3A109.4B$401.20B109.4B$400.20B
109.4B$399.20B109.4B$398.20B109.4B$397.6BA13B109.4B$396.6BA13B109.4B$
395.7B3A10B109.4B$394.20B109.4B$393.20B109.4B$392.ABA13BA3B109.4B$
391.B2A14BABA109.4B$390.3BA14B2A109.4B$389.20B109.4B$388.20B109.4B$
387.20B109.4B$386.20B109.4B$385.6BA13B109.4B$384.7BABA10B109.4B$383.
8B2A10B109.4B$382.20B109.4B$381.BA14BA3B109.4B$380.2A5BA8BA3B109.4B$
379.2B2A2B2A9B3A109.4B$378.8B2A10B109.4B$377.20B109.4B$376.20B109.4B$
375.20B109.2A2B$374.6BA13B109.ABAB$373.6BA13B109.3BA$372.7B3A10B109.
4B$371.20B109.4B$370.20B109.4B$369.ABA13BA3B109.4B$368.B2A14BABA109.
4B$367.3BA14B2A109.4B$366.20B109.4B$365.20B109.4B$364.20B109.4B$363.
20B109.4B$362.6BA13B109.4B$361.7BABA10B109.4B$360.8B2A10B109.4B$359.
20B109.4B$358.BA14BA3B109.4B$357.2A5BA8BA3B109.4B$356.2B2A2B2A9B3A
109.4B$355.8B2A10B109.4B$354.20B109.4B$353.20B109.4B$352.20B109.4B$
351.6BA13B109.4B$350.6BA13B109.4B$349.7B3A10B109.4B$348.20B109.4B$
347.20B109.4B$346.ABA13BA3B109.4B$345.B2A14BABA109.4B$344.3BA14B2A
109.4B$343.20B109.4B$342.20B109.4B$341.20B109.4B$340.20B109.4B$339.6B
A13B109.4B$338.7BABA10B109.4B$337.8B2A10B109.4B$336.20B109.4B$335.BA
14BA3B109.4B$334.2A5BA8BA3B109.4B$333.2B2A2B2A9B3A109.4B$332.8B2A10B
109.4B$331.20B109.4B$330.20B109.4B$329.20B109.2A2B$328.6BA13B109.ABAB
$327.6BA13B109.3BA$326.7B3A10B109.4B$325.20B109.4B$324.20B109.4B$323.
ABA13BA3B109.4B$322.B2A14BABA109.4B$321.3BA14B2A109.4B$320.20B109.4B$
319.20B109.4B$318.20B109.4B$317.20B109.4B$316.6BA13B109.4B$315.7BABA
10B109.4B$314.8B2A10B109.4B$313.20B109.4B$312.BA14BA3B109.4B$311.2A
14BA3B109.4B$310.2B2A13B3A109.4B$309.20B109.4B$308.20B109.4B$307.20B
109.4B$306.20B109.4B$305.6BA13B109.4B$304.6BA13B109.4B$303.7B3A10B
109.4B$302.20B109.4B$301.20B109.4B$300.ABA13BA3B109.4B$299.B2A14BABA
109.4B$298.3BA14B2A109.4B$297.20B109.4B$296.20B109.4B$295.20B109.4B$
294.20B109.4B$293.6BA13B109.4B$292.7BABA10B109.4B$291.8B2A10B109.4B$
290.20B109.4B$289.BA14BA3B109.4B$288.2A14BA3B109.4B$287.2B2A13B3A109.
4B$286.20B109.4B$285.20B109.4B$284.20B109.4B$283.20B109.4B$282.6BA13B
109.4B$281.6BA13B109.4B$280.7B3A10B109.4B$279.20B109.4B$278.20B109.4B
$277.ABA13BA3B109.4B$276.B2A14BABA109.4B$275.3BA14B2A109.4B$274.20B
109.4B$273.20B109.4B$272.20B109.4B$271.20B109.4B$270.6BA13B109.4B$
269.7BABA10B109.4B$268.8B2A10B109.4B$267.20B109.4B$266.BA14BA3B109.4B
$265.2A14BA3B109.4B$264.2B2A13B3A109.4B$263.20B109.4B$255.A6.20B109.
4B$254.A.A4.20B109.4B$255.A4.20B109.4B$259.6BA13B109.4B$258.6BA13B
109.4B$258.6B3A10B109.4B$258.18B109.4B$257.18B109.4B$256.B4A9BA3B109.
4B$256.A13BABA109.4B$255.A4BA9B2A109.4B$256.A3BA10B109.4B$256.14B109.
4B$256.5B2A6B109.4B$257.4B2A5B109.4B$260.7B109.4B$260.6B109.4B$260.5B
109.4B$259.5B109.4B$259.4B109.4B$258.4B109.4B$257.4B109.4B$256.4B109.
4B$255.4B109.4B$254.4B109.4B$253.4B109.2A2B$252.4B109.ABAB$251.4B109.
3BA$250.4B109.4B$249.4B109.4B$248.4B109.4B$247.4B109.4B$246.4B109.4B$
245.4B109.4B$244.4B109.4B$243.4B109.4B$242.4B109.4B$241.4B109.4B$240.
4B109.4B$239.4B109.4B$238.4B109.4B$237.4B109.4B$236.4B109.4B$235.4B
109.4B$234.4B109.4B$233.4B109.4B$232.4B109.4B$231.4B109.4B$230.4B109.
4B$229.4B109.4B$228.4B109.4B$227.4B109.4B$226.4B109.4B$225.4B109.4B$
224.A3B109.4B$223.BABA109.4B$222.2B2A109.4B$221.4B109.4B$220.4B109.4B
$219.4B109.4B$218.4B109.4B$217.4B109.4B$216.4B109.4B$215.4B109.4B$
214.4B109.4B$213.4B109.4B$212.4B109.4B$211.4B109.4B$210.4B109.4B$209.
4B109.4B$208.4B109.4B$207.4B109.2A2B$206.4B109.ABAB$205.4B109.3BA$
204.4B109.4B$203.4B109.4B$202.4B109.4B$201.4B109.4B$200.4B109.4B$199.
4B109.4B$198.4B109.4B$197.4B109.4B$196.4B109.4B$195.4B109.4B$194.4B
109.4B$193.4B109.4B$192.4B109.4B$191.4B109.4B$190.4B109.4B$189.4B109.
4B$188.4B109.4B$187.4B109.4B$186.4B109.4B$185.4B109.4B$184.4B109.4B$
183.4B109.4B$182.4B109.4B$181.4B109.4B$180.4B109.4B$179.4B109.4B$178.
4B109.4B$177.4B109.4B$176.4B109.4B$175.4B109.4B$174.4B109.4B$173.4B
109.4B$172.4B109.4B$171.4B109.4B$170.4B109.4B$169.4B109.4B$168.4B109.
4B$167.4B109.4B$166.4B109.4B$165.4B109.4B$164.4B109.4B$163.4B109.4B$
162.4B109.4B$161.4B109.2A2B$160.4B109.ABAB$159.4B109.3BA$158.4B109.4B
$157.4B109.4B$156.4B109.4B$155.4B109.4B$154.4B109.4B$153.4B109.4B$
152.4B109.4B$151.4B109.4B$150.4B109.4B$149.4B109.3AB$148.4B109.3BA$
147.4B109.3BA$146.4B109.4B$145.4B109.4B$144.4B109.4B$143.4B109.4B$
142.4B109.4B$141.4B109.4B$140.4B109.4B$139.4B109.4B$138.4B109.2A2B$
137.4B109.ABAB$136.4B109.3BA$135.4B109.4B$134.4B109.4B$133.4B109.4B$
132.A3B109.4B$131.BABA109.4B$130.2B2A109.4B$129.4B109.4B$128.4B109.4B
$127.4B109.4B$126.4B109.4B$125.4B109.4B$124.4B109.4B$123.4B109.4B$
122.4B109.4B$121.4B109.4B$120.4B109.4B$119.4B109.4B$118.4B109.4B$117.
4B109.4B$116.4B109.4B$115.4B109.2A2B$114.4B109.ABAB$113.4B109.3BA$
112.4B109.4B$111.4B109.4B$110.4B109.4B$109.A3B109.4B$108.BABA109.4B$
107.2B2A109.4B$106.4B109.4B$105.4B109.4B$104.4B109.4B$103.4B109.4B$
102.4B109.4B$101.4B109.4B$100.4B109.4B$99.4B109.4B$98.4B109.4B$97.4B
109.4B$96.4B109.4B$95.4B109.4B$94.4B109.4B$93.4B109.4B$92.4B109.2A2B$
91.4B109.ABAB$90.4B109.3BA$89.4B109.4B$88.4B109.4B$87.4B109.4B$86.A3B
109.4B$85.BABA109.4B$84.2B2A109.4B$83.4B109.4B$82.4B109.4B$81.4B109.
4B$80.4B109.4B$79.4B109.4B$78.4B109.4B$77.4B109.4B$76.4B109.4B$75.4B
109.4B$74.4B109.4B$73.4B109.4B$72.4B109.4B$71.4B109.4B$70.4B109.4B$
69.4B109.2A2B$68.4B109.ABAB$67.4B109.3BA$66.4B109.4B$65.4B109.4B$64.
4B109.4B$63.4B109.4B$62.4B109.4B$61.4B109.4B$60.4B109.4B$59.4B109.4B$
58.4B109.4B$57.4B109.4B$56.4B109.4B$.4B3.B.9B.B3.A2BA27.4B109.4B$.4B.
8B3A6B.A3B26.4B109.4B$2A11BA4BA9BA24.4B109.4B$2A10BA5BA8B2A23.4B109.
4B$.B.10BA8BA3B.B23.4B109.4B$3.11B2A8B2A24.4B109.4B$6.3B11.3B.B.3B20.
4B109.4B$3.11B2A8B2A3B19.4B109.4B$.B.10BA8BA3BA4B16.4B109.4B$2A10BA5B
A4BA2BA5B14.4B109.4B$2A11BA4BA4BA2BA4B14.4B109.4B$.13B3A7B2A3B15.4B
109.4B$.4B3.B.9B.3B.B.3B14.4B109.4B$42.4B109.4B$41.4B109.4B$40.A3B
109.4B$39.BABA109.4B$38.2B2A109.4B$37.4B109.4B$36.4B109.4B$25.2A8.4B
109.4B$24.A.A7.4B109.4B$24.A8.4B109.4B$18.A4.2A7.4B109.4B$18.3A10.4B
109.4B$21.A8.4B109.4B$20.2A7.4B109.4B$20.5B3.4B109.4B$22.3B2.4B109.4B
$12.2A7.9B109.4B$12.A8.8B109.4B$9.2A.A.B3.10B109.4B$9.A2.AB2A.3A8B
108.2A2B$10.2A2.5BA8B107.ABAB$12.2A3BA3B2A5B106.3BA$12.A.2B3.7B.B2A
103.4B$13.2ABA2.A6B.BA.A101.4B$16.A4.2BAB5.A100.4B$11.5A5.ABAB5.2A98.
4B$10.A2.A8.2A2B103.4B$10.2A11.4B101.4B$24.4B99.4B$25.4B97.4B$26.4B
95.4B$27.4B93.4B$28.4B91.4B$29.4B89.4B$30.4B87.4B$31.4B85.4B$32.4B83.
4B$33.4B81.4B$34.4B79.4B$35.4B77.4B$36.4B75.4B$37.4B73.4B$38.4B71.2A
2B$39.4B69.ABAB$40.4B67.3BA$41.4B65.4B$42.4B63.4B$43.3BA61.4B$44.ABAB
59.4B$45.2A2B57.4B$46.4B55.4B$47.4B53.4B$48.4B51.4B$49.4B49.4B$50.4B
47.4B$51.4B45.4B$52.4B43.4B$53.4B41.4B$54.4B39.4B$55.4B37.4B$56.4B35.
4B$57.4B33.4B$58.4B31.4B$59.4B29.4B$60.4B27.4B$61.4B25.2A2B$62.4B23.A
BAB$63.4B21.3BA$64.4B19.4B$65.4B10.A6.4B$66.4B7.3A5.4B$67.4B5.A7.4B$
68.4B4.2A5.4B$69.9B4.4B$70.6B5.4B$70.8B2.4B$68.15B$68.14B$68.13B$66.
2AB.10B$65.A.AB3.B2A3B$65.A6.B2A3B$64.2A6.4B$73.3B$74.2B.BA$73.B2ABA.
A$72.BABABA.A$70.A2.A.A.A.2A$70.4A.2A2.A$74.A4.A.A$72.A.A5.2A$72.2A!

Unfortunately, with higher periods (P > 10^7) the device becomes unwieldy. TODO: Automatically set oscillation bottom mark, to avoid using LifeHistory.