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Synthesis
Posted: February 27th, 2014, 10:53 am
by bprentice
There are several very active threads in the Patterns section dealing with synthesis. For those of you who are interested in such matters install the Golly rule tree here:
viewtopic.php?f=11&t=1293&start=50#p10980
and name it reversible.tree. Then run this pattern:
Code: Select all
x = 434, y = 402, rule = reversible
213.2B$213.2A5$213.2B$213.2A3$213.2B$213.2A5$213.2B$213.2A3$213.2B$
213.2A3$213.2B$213.2A5$213.2B$213.2A3$213.2B$213.2A3$212.2B$212.2A5$
212.2B$212.2A3$212.2B$212.2A2$218.2B$218.2A2$212.2B6.2B$212.2A6.2A5$
212.2B$212.2A3$212.2B$212.2A4.2B$204.2B12.2A$204.2A2$218.2B$204.2B6.
2B4.2A$204.2A6.2A3$204.2B$204.2A$212.2B$212.2A4.2B$218.2A2$212.2B$
212.2A4.2B$204.2B12.2A$204.2A3$204.2B6.2B$204.2A6.2A4.2B$218.2A6$207.
2B6.2B$207.2A6.2A3$204.2B6.2B$204.2A6.2A2$224.2B$207.2B5.2B8.2A$207.
2A5.2A2$202.2B20.2B$202.2A20.2A2$206.2B6.2B$206.2A6.2A8.2B$224.2A$
202.2B$202.2A10.2B$214.2A8.2B$224.2A$202.2B$202.2A3.2B5.2B$207.2A5.2A
2$202.2B$202.2A2$207.2B5.2B$202.2B3.2A5.2A$202.2A2$197.2B7.2B$197.2A
7.2A$200.2B$200.2A$197.2B$197.2A$200.2B12.2B$200.2A12.2A10.2B$226.2A
2$197.2B.2B18.2B$197.2A.2A18.2A4.2B$226.2A2$200.2B18.2B$200.2A18.2A2$
226.2B$200.2B24.2A$200.2A2$226.2B$200.2B24.2A$200.2A3$196.2B4.2B$196.
2A4.2A$215.2B$208.2B5.2A$196.2B10.2A$196.2A2$224.2B$196.2B26.2A$196.
2A2.2B$200.2A2$199.B2A$196.A.A2.B$196.2B.BA$196.2A3B3.B$197.B2CA.2AB
2.A$196.A.BCBC.AB.B$196.BA.A4BACA2.AB7.ABA$187.BA2.BA.2B.BABA.BABCB2.
C5.C3AC$187.BA2.B3AB.BABAC2AB.2C3AB.BA2B.ABA.3A$192.BCBABCB.BCAB.AC.
2A.BAB2C2.2BCB.BC.B$167.BA23.BABA.3A.C2.C2BAB2CABACBAB2.ABA.A$167.BA
26.ABA.AB2A2.C.CA.BCAB2.AC2A2BACB3.B$184.BA2.BA2.BABC.BA4.CB2.B2.B2.
2B.BA.C.A2C.B.2B.B.B42.AB$171.BA11.BA2.BA3.AB.A2.C.B2CB.BA.2BC.C4ABAC
A2C.B.2AB3A42.AB$151.BA2.BA14.BA20.2ACAB.C.CB2ACA2.2C.B2CB2C2.A.C2.AC
.B2.CB$151.BA2.BA23.BA8.BA.B3ACA4BC3B2.2AC2BC.C2A.CB2.3AB3C2A$30.BA2.
BA2.BA4.BA2.BA10.BA6.BA2.BA106.BA8.BA3.AB.2C2.AB2.BA2BACBC.3B.BABA3B.
BC3B110.AB$30.BA2.BA2.BA4.BA2.BA10.BA6.BA2.BA18.BA97.BC2.2BACA2.BC4AC
A.ABC.BA3BC.3C4A.2AB26.AB81.AB$92.BA27.BA2.BA64.A.A.BA2CB.AC.3B.B2.BA
2B.C3BC.B.AC5.C27.AB38.AB$111.BA8.BA2.BA65.A2.A2BC5A2BACB2AC2A.B.A.2C
B3.B.2B.BA2.A64.AB77.AB4.AB24.AB6.AB6.AB$69.BA40.BA19.BA6.BA2.BA8.BA
36.B.2A.2C.C2A.2C.2C2BC.2CBA.2BC.2BC3ACA2.3B139.AB2.AB4.AB24.AB6.AB6.
AB$69.BA33.BA2.BA4.BA2.BA12.BA6.BA2.BA8.BA36.BABA.A.2BC3AC3A.2CB2.ACB
ACAC.ABCAB.C3.CABAB65.AB2.AB2.AB2.AB10.AB2.AB6.AB10.AB21.AB$104.BA2.B
A4.BA2.BA66.BA4.BAB.C4BCACB.B2.CBAB.C.BA2CA.2C.B2AB2CBA3BAB65.AB2.AB
2.AB2.AB4.AB4.AB2.AB6.AB3.AB5.AB14.AB2.AB18.AB2.AB2.AB$127.BA57.BA8.B
.CA.A5B.BCB2C.A2.ABC2.2A.B2.2CB.2B87.AB21.AB21.AB2.AB18.AB2.AB2.AB31.
AB$88.BA37.BA65.B.A.A2.CB.ABCB2A2B2A.AB3A.AB3CA2.ABABAB197.AB$88.BA
102.B2A2B.A2.C2B.C.BABA2C2A2.ABA3BCB6A2.AB33.AB8.AB77.AB18.AB2.AB$BA
45.BA143.2A2C3.CA.2C2A3.BCBA.BC.2A.CACB2CACB.A2.B34.AB8.AB77.AB18.AB
2.AB$BA45.BA15.BA2.BA2.BA2.BA2.BA6.BA2.BA2.BA4.BA18.BA6.BA24.BA2.BA
31.C.CAB3CBC.2A2B2ABCA.B.CACBA2.BCA2.2A2B.A50.AB2.AB2.AB2.AB2.AB2.AB
2.AB24.AB2.AB2.AB2.AB2.AB$64.BA2.BA2.BA2.BA2.BA6.BA2.BA2.BA4.BA18.BA
6.BA24.BA2.BA30.A.BA2BC.C.BCAB.B.BCAC2AB3C2B.2C.C.ACAC3B.AB6.AB12.AB
2.AB2.AB17.AB2.AB2.AB2.AB2.AB2.AB2.AB24.AB2.AB2.AB2.AB2.AB23.AB2.AB2.
AB2.AB2.AB2.AB2.AB6.AB4.AB2.AB2.AB$34.BA16.BA127.BA4.BA3.BAC.AC2ABCA
3.CB2C3.2B.A2CB2.BC2ACACBA.2A.AB6.AB12.AB2.AB2.AB108.AB2.AB2.AB2.AB2.
AB2.AB2.AB.AB3.AB4.AB2.AB2.AB$34.BA16.BA10.BA2.BA2.BA4.BA101.BA4.BA3.
BCB.C.BA2CBCAB2C.ABCA.2AB2.B2AC2A2.C2ABCBAB167.AB$64.BA2.BA2.BA4.BA4.
BA106.B.ABACABA2BCBCB3ACBCAC.ABACBC2B.CA2BA.AB73.AB4.AB$84.BA4.BA2.BA
93.BAB.ACB.A.2B.C.3B.C3.ABACA.2ABABCABAB78.AB4.AB$90.BA2.BA93.BABACA.
2B.A2B2.CB3ACA2BC.C.2A3.BAB2.B$177.BA13.2BCABC2B.B.3BA2BAB.B.BC2.2C2B
CB.ABA71.AB27.AB2.AB$150.BA2.BA2.BA10.BA5.BA12.BA.3BCBAC.4BC2BA.B2AC.
CBC.2BCA2.2ABAB68.AB.AB24.AB2.AB$138.BA10.BA2.BA2.BA10.BA11.BA2.BA3.A
3.4CABA.B2.BC.C.ABABCACB.CBA2.BCBAB71.AB$105.BA31.BA43.BA2.BA2.BA.A.B
.CBCB2CAC2.CB.2A2BC2AB.A3.CBCBA$105.BA89.2BC2B.B2A.2AC2.A.BC2.A2.BAC.
2A.BAB$144.BA2.BA46.A.A.A2C.B.BAB2CABA.AC.3BAB.CACA$144.BA2.BA49.ABA.
A3.B.B.B3.3BC.A.A2BA.B$200.B2.2B.2C.B.4B2A2.C2B3A$200.BA2.B2C.AC.AB.A
.ACA.AC2.B$201.A2.3B.3B.AB.BA.BA2BA$201.B.BA.2AC2A.2A$201.AB.3A2.3BAB
.B.2B$201.AB.2BC2B.A.AB6.2A$190.BA2.BA2.B3ACACAB2C.BCB2A2.B2.2B$190.B
A2.BA2.BAB.B2.CAB.C2BCBA$202.BA2B.BABA2.2A3.B$201.A3BA.A.BAB$207.2B4.
2A11.2A$207.2A4.2B11.2B$207.2B2$202.2A$202.2B3.2A$207.2B2$226.2A$207.
2A17.2B$207.2B$217.2A$217.2B$207.2A$207.2B$217.2A$217.2B7.2A$211.2A
13.2B$206.2A3.2B$206.2B9.2A$217.2B2$206.2A$206.2B9.2A$217.2B7.2A$226.
2B$198.2A$198.2B17.2A$217.2B7.2A$226.2B$198.2A$198.2B4$209.2A6.2A$
209.2B6.2B4.2A$223.2B2$217.2A$217.2B3$217.2A$217.2B7.2A$226.2B2$217.
2A$217.2B7.2A$226.2B4$211.2A$211.2B$217.2A$209.2A6.2B$209.2B$201.2A$
201.2B14.2A$217.2B2$201.2A$201.2B$209.2A$209.2B3$209.2A$209.2B2$213.
2A$205.2A.2A3.2B$205.2B.2B2$213.2A$205.2A6.2B$205.2B$208.2A.2A6.2A$
208.2B.2B6.2B3$211.2A$211.2B$208.2A$208.2B$211.2A$211.2B3$201.2A8.2A$
201.2B8.2B3$211.2A$211.2B3$211.2A$211.2B3$211.2A$211.2B3$204.2A5.2A$
204.2B5.2B3$204.2A5.2A$204.2B5.2B11$211.2A$211.2B13$211.2A$211.2B5$
210.2A$210.2B5$216.2A$216.2B5$216.2A$216.2B6$215.2A$215.2B9$215.2A$
215.2B9$215.2A$215.2B3$215.2A$215.2B!
This is one of the results of the work introduced by Alexander Vlasov here:
viewtopic.php?f=11&t=1293#p10652
Brian Prentice
Re: Synthesis
Posted: February 27th, 2014, 2:48 pm
by twinb7
I didn't understand reversible automata until seeing this post. Either way, this looks a bit more interesting than WlAnt (at least for now) because of the puffers and emergent systems.
Now, there's one problem, if the idea is glider synthesis- well, they're technically impossible in empty space for a reversible CA. If there's an oscillator you want to synthesize the only predecessor of it is another one of its phases. the ONLY predecessor.
Code: Select all
x = 14, y = 4, rule = reversible
$BA10.BA$BA9.2B$11.A.C!
Extensible oscillator of arbitrarily large period:
Code: Select all
x = 29, y = 5, rule = reversible
A$26.B.B$26.BA$A!
Extensible oscillator of period 4:
Code: Select all
x = 21, y = 5, rule = reversible
20.A$10.A9.A$A9.A9.A$A9.A9.A$A9.A9.A!
Re: Synthesis
Posted: February 27th, 2014, 2:59 pm
by twinb7
Is there a name for this rule besides 'reversible'?
Re: Synthesis
Posted: February 27th, 2014, 3:12 pm
by twinb7
Some things that may be useful in signal circuitry.
It took me a while to realize that it only takes a single 3-cell to be a reflector, so I have some things that are unnecessary :I
Code: Select all
x = 54, y = 45, rule = reversible
C2.C$.2C$C2.C3$.2A$.2B4$10.B9.A3$10.2A8.2A$10.2B8.2B16$C9.AB8.BA12.6A
10.3A$10.BA8.AB2$2A$2B$11.2B8.2B13.2B$11.2A8.2A13.2A$.C$52.2A$52.2B$
10.AB8.BA$10.BA8.AB3$34.6A!
Re: Synthesis
Posted: February 27th, 2014, 3:20 pm
by alexv
twinb7 wrote:Is there a name for this rule besides 'reversible'?
Indeed, I would suggest something more specific as a name (I myself have called that RevBPRule005
)
Alexander
Re: Synthesis
Posted: February 27th, 2014, 4:46 pm
by twinb7
alexv wrote:twinb7 wrote:Is there a name for this rule besides 'reversible'?
Indeed, I would suggest something more specific as a name (I myself have called that RevBPRule005
)
Alexander
"Chaoform" came to me, just because of how it looks when an explosive result is reversed- of course, I guess that isn't unique to this rule, is it?
Re: Synthesis
Posted: February 27th, 2014, 4:53 pm
by alexv
Yes, I think reversible "travelling 2x2 blocks" rules may have quite similar "global" character. After all,
it maybe yet not "proper" synthesis, but just some trick using reversibility. E.g. below is a pattern for
"synthesis" of moving word "HELLO" with ants after 100 steps:
Code: Select all
x = 180, y = 191, rule = WlAnt-2
90.B$89.BAB$88.BA.AB$87.BA3.AB$86.BA5.AB$85.BA4.B2.AB$84.BA4.BAB2.AB$
83.BA4.BA.AB2.AB$80.B.BA4.BA3.AB2.AB$79.BABA4.BA5.AB2.AB$78.BA.A4.BA
7.AB2.AB$77.BA4.B.BA2.B.B4.AB2.AB$76.BA4.BABA2.BABAB4.AB2.AB$75.BA4.B
A.A2.BA.A.AB4.AB2.AB$74.BA4.BA4.BA5.AB4.AB2.AB$73.BA4.BA2.B.BA7.AB4.A
B2.AB$72.BA4.BA2.BABA5.B3.AB4.AB2.AB$71.BA4.BA2.BA.A5.BAB3.AB4.AB2.AB
$70.BA4.BA2.BA7.BA.AB3.AB4.AB2.AB$69.BA4.BA2.BA2.B4.BA3.AB3.AB4.AB2.A
B$68.BA4.BA2.BA2.BAB2.BA2.B2.AB3.AB4.AB2.AB$67.BA4.BA2.BA2.BA.A2.A2.B
AB2.AB3.AB4.AB2.AB$66.BA4.BA2.BA2.BA3.2A2.BA.AB2.AB3.AB4.AB2.AB$65.BA
3.B.A2.BA2.BA7.BA3.AB2.AB3.AB4.AB2.AB$64.BA3.BA3.BA2.BA4.BCABA2.B2.AB
2.AB3.AB4.AB2.AB$63.BA3.BA3.BA2.BA8.A2.BAB2.AB2.AB3.AB4.AB2.AB$62.BA
3.BA3.BA2.BA4.B2A4.BA.AB2.AB2.AB3.AB4.AB2.AB$61.BA3.BA2.B.A2.BA3.B.A
5.BA3.AB2.AB2.AB3.AB4.AB2.AB$60.BA3.BA3.C3.BA3.BA3.AB.BA2.B2.AB2.AB2.
AB3.AB4.AB2.AB$59.BA3.BA4.A.B.A3.BA4.BABA2.BAB2.AB2.AB2.AB3.AB4.AB2.A
B$58.BA3.BA2.B4.C3.B.A3.B3.A2.BA.AB2.AB2.AB2.AB3.AB4.AB2.AB$57.BA3.BA
2.BAB3.A2.BA4.BA5.BA3.AB2.AB2.AB2.AB3.AB4.AB2.AB$56.BA3.BA2.BA.A.B3.B
A2.B.BA2.AB.BA2.B2.AB2.AB2.AB2.AB3.AB4.AB2.AB$55.BA3.BA2.BA4.A.B.A2.B
ABA3.BABA2.BAB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$54.BA3.BA2.BA2.B4.A3.BA.A
2.B3.A2.BA.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$53.BA3.BA2.BA2.BAB6.BA4.BA
5.BA3.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$52.BA3.BA2.BA2.BA.A.B3.BA4.BA2.C
2.BA2.B2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$51.BA3.BA2.BA2.BA4.A.B.A2.B.B
A3.C.BA2.BAB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$50.BA3.BA2.BA2.BA2.B4.C
3.BABA2.B3.A2.BA.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$49.BA3.BA2.BA2.BA
2.BAB3.A2.BA.A2.BA5.BA3.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$48.BA3.BA
2.BA2.BA2.BA.AB4.BA4.BA2.AB.BA2.B2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB
$47.BA3.BA2.BA2.BA2.BA3.A.B.BA2.B.BA3.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.
AB3.AB4.AB2.AB$46.BA3.BA2.BA2.BA2.BA2.B3.ABA2.BABA3.B2.A2.BA.AB2.AB2.
AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$45.BA3.BA2.BA2.BA2.BA2.BAB3.A2.BA.A3.B
A4.BA3.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$44.BA3.BA2.BA2.BA2.BA2.
BA.AB4.BA5.BA.AB.BA2.B2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$43.BA
3.BA2.BA2.BA2.BA2.BA3.AB2.BA2.B2.BA2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB3.AB4.AB2.AB$42.BA3.BA2.BA2.BA2.BA2.BA2.B2.AB.A2.BA2.A2.B2.A2.BA
.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$41.BA3.BA2.BA2.BA2.BA2.BA
2.BAB2.A3.BA.2A2.BA4.BA3.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$
40.BA3.BA2.BA2.BA2.BA2.BA2.BA.AB4.BA5.BA.AB.BA2.B2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB3.AB4.AB2.AB$39.BA3.BA2.BA2.BA2.BA2.BA2.BA3.AB2.BA3.CABA
2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$38.BA3.BA2.BA
2.BA2.BA2.BA2.BA2.B2.A2BA4.A.A2.B2.A2.BA.AB2.AB2.AB2.AB2.AB2.AB2.AB2.
AB2.AB3.AB4.AB2.AB$37.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BAB7.B2A3.BA4.BA3.A
B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$36.BA3.BA2.BA2.BA2.BA2.
BA2.BA2.BA.AB.2B2.BA4.BA.AB.BA2.B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
3.AB4.AB2.AB$35.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA3.AB.B.BA2.C.BA2.BABA2.
BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$34.BA3.BA2.BA2.BA
2.BA2.BA2.BA2.BA2.B2.A.CBA3.A.A2.B2.A2.BA.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB3.AB4.AB2.AB$33.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BAB7.B3A
2.BA4.BA3.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$32.BA3.B
A2.BA2.BA2.BA2.BA2.BA2.BA2.BA.AB2.2B.BA4.BA.AB.BA2.B2.AB2.AB2.AB2.AB
2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$31.BA3.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA3.AB2.B.A2.CABA2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.
AB3.AB4.AB2.AB$30.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B2.AB.C4.A.A2.B
2.A2.BA.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$29.BA
3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BAB6.B.2A3.BA4.BA3.AB2.AB2.AB2.AB2.
AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$28.BA3.BA2.BA2.BA2.BA2.BA2.BA
2.BA2.BA2.BA.AB5.C5.BA.AB.BA2.B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.
AB2.AB3.AB4.AB2.AB$27.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.ABABA.A
.CA.BA2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB
2.AB$26.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B2.ABAB3.A2.A2.B2.A2.
BA.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$25.BA3.
BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BAB5.B2.A.A2.BA4.BA3.AB2.AB2.AB2.
AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$24.BA3.BA2.BA2.BA2.BA
2.BA2.BA2.BA2.BA2.BA2.BA.AB4.AB.B.B.BA.AB.BA2.B2.AB2.AB2.AB2.AB2.AB2.
AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$23.BA3.BA2.BA2.BA2.BA2.BA2.BA
2.BA2.BA2.BA2.BA3.ABABA.A.B.B.A2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$22.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.
BA2.BA2.BA2.B2.ABAB3.CBC3.B2.A2.BA.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB2.AB3.AB4.AB2.AB$21.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA2.BAB5.B7.BA4.BA3.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB3.AB4.AB2.AB$20.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA.AB
4.AB.3B.BA.AB.BA2.B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.
AB3.AB4.AB2.AB$19.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.ABA
BA.AB.B.BA2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB3.AB4.AB2.AB$18.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
2.ABAB2.A.C.A2.B2.A2.BA.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB2.AB3.AB4.AB2.AB$17.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.
BA2.BAB5.B7.BA4.BA3.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB3.AB4.AB2.AB$16.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.
BA.AB4.AB5.BA.AB.BA2.B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB2.AB3.AB4.AB2.AB$15.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.
BA2.BA3.ABABA.AB.C.BA2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$14.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA2.BA2.BA2.BA2.B2.ABAB2.A.A.A2.B2.A2.BA.AB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$13.BA3.BA2.BA2.BA2.BA2.
BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BAB5.B2.3A2.BA4.BA3.AB2.AB2.AB2.AB2.A
B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$12.BA3.BA2.BA2.
BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA.AB4.AB5.BA.AB.BA2.B2.AB2.A
B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$11.
BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.ABABA.ABACABA
2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.
AB3.AB4.AB2.AB$10.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA
2.BA2.B2.ABAB2.A.A.A2.B2.A2.BA.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$9.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA
2.BA2.BA2.BA2.BA2.BA2.BA2.BAB5.B3.A3.BA4.BA3.AB2.AB2.AB2.AB2.AB2.AB2.
AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$8.BA3.BA2.BA2.BA2.
BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA.AB4.AB2.B2.BA.AB.BA2.B2.AB
2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB
2.AB$7.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.AB
ABA.AB.C.BA2.BABA2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.A
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A2.BA2.BA2.BA2.BA2.BA2.B2.ABAB2.A.A.A2.B2.A2.BA.AB2.AB2.AB2.AB2.AB2.A
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2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.A3.A2.BAB5.B4.A2.BA4.BA
3.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
3.AB4.AB2.AB$6.BA.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.C2A
.B2A.BA.AB.B2.AB2.A2.BA.AB.BA2.B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$5.BA3.BA2.BA2.BA2.BA2.BA
6.BA2.BA2.BA2.BA2.BA2.BA3.A6.B3.B.BA.A8.BA2.BA.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB4.AB2.AB$9.BA2.BA
2.BA2.BA2.BA3.BCA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.A3.ABCBAB.B.AB.2B.B2.A
3.ABAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB3.AB2.AB$5.BCA2.BA2.BA2.BA3.A.A8.B3.B3.B3.B7.B5.B3.A.B.B6.B5.B.A
.2A2.A2.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB6.AB2.AB2.AB2.
AB2.AB4.B.B2.ACB$9.BA2.BA2.BA4.A.C2A2B2A2BC.2BC.2BC.2BC.2B2A2BC.B4.BA
.A.A.2B4.BCBAC12.B2.A2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.2C
2.BA2.BA2.BA2.BA2.BA2.C2B.B$8.BA11.BA13.B3.B3.B9.B.2BC5.A.B2.B2.B5.A.
A2B.B.2A.3B2.B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB6.AB2.AB2.A
B2.AB2.AB6.AB2.AB$7.BA2.BCA2.BA6.BA.BA2.BCA.BA2.BA2.BA3.BCA5.B3.BA.2A
4.3B.B2.B.B.B6.A.B6.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.ACB$8.BA10.BA.BA3.BA6.BA2.BA2.BA9.BA
10.B3.B.C4BC.C.B4.B.A.B.A.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB6.AB2.AB2.AB2.AB2.AB$7.BA2.BA2.BA2.BA6.BA2.BA2.BA2.BA2.BA
2.BA.BCA3.BA.BCA3.2BC.2BA.B2.B.B3.B.B2.B.B.B2.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB.AB2.AB4.AB2.AB2.AB3.ACB$6.BA2.BA
2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA11.BA10.B5.B5.B.2B6.B.B2.B2.AB2.AB2.A
B2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB4.AB.AB5.AB12.AB$5.BA2.BA2.BA2.B
A2.BA2.BA2.BA2.BA2.BA2.BA5.BA4.BA2.BA2.B2.CBC2.3B.BAB5.B.B.A2.A.2B.A.
AB2.AB2.AB2.AB2.AB2.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB5.AB.AB4.ACB2.ACB2.
AB4.AB$10.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA5.BA2.BA2.BA2.B3.B.B2.B.B
5.2B.3B5.A4.BAB2.AB2.AB2.AB2.AB2.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB.A
B17.AB4.AB$5.BCA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA5.BA2.BA2.BABAB.B
2.C2.A.A3.C.B.B6.A2.2A3.B2.AB2.AB2.AB2.AB2.AB2.AB4.AB2.AB2.AB2.AB2.AB
2.AB2.AB3.AB2.AB2.AB.AB2.AB2.AB4.AB$20.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA
2.BA4.B.BA2.B.A2.C2.AB.A.C.3BC.BA.3A.2A3.AB2.AB2.AB2.AB2.AB2.AB4.AB2.
AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$6.BCA3.BA2.BA3.BA
2.BA2.BA2.BA2.BA2.BA2.BA.BA2.BA6.B4.C.B5.B2.A.B17.AB2.AB2.AB2.AB2.AB
4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$15.BA3.B
A2.BA2.BA2.BA2.BA2.BA2.BA7.BA5.2B5.2BAB.B2.A4.A.A.A.AC2.2A2.BAB2.AB2.
AB2.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.A
B$7.BA2.BA.BA3.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA5.BA5.2B2.C3.BAB2.ABA2.
3AB.BA3.A5.B2.AB2.AB2.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB
2.AB3.AB2.AB2.AB2.AB$6.BA2.BA6.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BCA2.B
A2.2B6.AB2.A.AB.B.A4.BAB.BAB2.AB3.AB2.AB2.AB2.AB4.AB2.AB2.AB2.AB2.AB
2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$5.BA2.BA2.BA2.BA2.BA2.BA2.BA
2.BA2.BA2.BA2.BA9.BA3.B.CA2.BA.A2.B4.BA2.BA12.AB2.AB2.AB2.AB4.AB2.AB
2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$6.BA2.BA2.BA2.BA
2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA11.BABA3.A3.BA2.BA.A3.AB3.AB2.AB
2.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$
7.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.BCA.BCA2.B.BA.A
B.A2.BA2.BABABABABA.B2.AB2.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB
2.AB2.AB3.AB2.AB2.AB2.AB$8.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA
3.BA2.BA13.BAB2.BA2.BA2.B.BAB2.AB3.AB2.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$9.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA
2.BA2.BA2.BA3.BA2.BA2.BCA.BCA.A2.B4.BA2.BA12.AB2.AB2.AB4.AB2.AB2.AB2.
AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$10.BA2.BA2.BA2.BA2.BA
2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA9.BA4.A2.BA2.BA.A3.AB3.AB2.AB2.AB4.AB
2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$11.BA2.BA2.B
A2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.BCA.2B.BA3.C3.BA2.BABABABA
BA.B2.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB
2.AB$12.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA9.BA2.B.A2.
BA2.B.BAB2.AB3.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB
2.AB2.AB2.AB$13.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.B
2CBA2.BA3.BA2.BA12.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB
3.AB2.AB2.AB2.AB$14.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.B
A5.BA2.BA3.BA2.BA5.AB3.AB2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB
2.AB3.AB2.AB2.AB2.AB$15.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.B
A2.BA.2A2.BA2.B.A2.BA2.BA.ABABABA.B2.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.
AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$16.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA
2.BA2.BA3.BA2.BA2.A2.BA3.BA2.BA2.BABAB2.AB3.AB4.AB2.AB2.AB2.AB2.AB2.A
B2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$17.BA2.BA2.BA2.BA2.BA2.BA2.BA2.
BA2.BA2.BA2.BA3.BA2.B2.BA2.BA3.BA2.BA2.B9.AB4.AB2.AB2.AB2.AB2.AB2.AB
2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$18.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA2.BA2.BA3.BA5.BA2.BA3.BA2.BA5.AB3.AB4.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$19.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA2.BA3.BA2.A2.BA2.BA3.BA2.BA.ABABAB.AB4.AB2.AB2.AB2.AB2.AB2.AB2.A
B2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$20.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.
BA2.BA2.BA3.BA.BA2.BA2.B.A2.BA2.BABAB4.B4.AB2.AB2.AB2.AB2.AB2.AB2.AB
2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$21.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA2.BA3.B2.BA2.BA3.BA2.BA2.B6.B4.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.A
B2.AB2.AB3.AB2.AB2.AB2.AB$22.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.
BA6.BA2.B.A2.BA2.BA5.AB.A3.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB
3.AB2.AB2.AB2.AB$23.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.A2.BA
3.BA2.BA2.BA.ABABA2.A.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB
2.AB2.AB2.AB$24.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA.ABA2.BA3.B
A2.BA2.BABAB4.BAB2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB
2.AB$25.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BAB.BA2.BA3.BA2.BA2.B
4.2AB.B2.AB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$26.BA
2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B3.BA2.B.A2.BA2.BA6.A.A3.AB2.AB
2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$27.BA2.BA2.BA2.BA2.B
A2.BA2.BA2.BA2.BA2.BA6.BA3.BA2.BA2.BA2.C.AC2.A.AB2.AB2.AB2.AB2.AB2.AB
2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$28.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA6.BA3.BA2.BA2.BA.B5.BAB2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB
2.AB2.AB2.AB$29.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA6.BA3.BA2.BA2.B
.2B.2AB.B2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$30.BA2.
BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA6.B.A2.BA2.BA12.AB2.AB2.AB2.AB2.AB
2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$31.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA7.C3.BA2.BA.AB2C2BA2.AB2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB
2.AB2.AB$32.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA4.A.B.A2.BA2.BAB7.A
B2.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$33.BA2.BA2.BA2.BA2.
BA2.BA2.BA2.BA2.BA2.BA3.C3.BA2.BA2.B2.2A2.2AB2.AB2.AB2.AB2.AB2.AB3.AB
2.AB2.AB3.AB2.AB2.AB2.AB$34.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
.A2.BA2.BA3.A8.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$35.BA2.
BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.BA.AB.B2CB2.AB2.AB2.AB2.A
B2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$36.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.
BA2.BA3.BA2.BA2.BAB7.AB2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$
37.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.B2.A.2A.AB2.AB2.AB
2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$38.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA2.BA3.BA2.BA3.AB4.B2.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$
39.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B.A2.BA2.BA.AB.4B2.AB2.AB2.AB
2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$40.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B
A3.BA2.BA2.BAB7.AB2.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$41.BA2.BA
2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.B2.AB3CAB2.AB2.AB2.AB3.AB2.AB2.
AB3.AB2.AB2.AB2.AB$42.BA2.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B.A2.BA2.BA3.AB
7.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$43.BA2.BA2.BA2.BA2.BA2.BA2.B
A2.BA3.BA2.BA2.BA.AB2.4A.AB2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$44.BA
2.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.BAB2.A4.AB2.AB2.AB3.AB2.AB2.AB
3.AB2.AB2.AB2.AB$45.BA2.BA2.BA2.BA2.BA2.BA2.BA2.B.A2.BA2.BA2.B2.AB.2B
.B2.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$46.BA2.BA2.BA2.BA2.BA2.BA2.BA
3.BA2.BA2.BA3.AB7.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$47.BA2.BA2.BA2.B
A2.BA2.BA2.BA3.BA2.BA2.BA.AB2.A2BA.AB2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB
$48.BA2.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.BAB2.AB2.BAB2.AB3.AB2.AB2.AB
3.AB2.AB2.AB2.AB$49.BA2.BA2.BA2.BA2.BA2.BA2.B.A2.BA2.BA2.B2.AB4.B2.AB
3.AB2.AB2.AB3.AB2.AB2.AB2.AB$50.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.BA3.A
B7.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$51.BA2.BA2.BA2.BA2.BA2.BA3.BA2.BA2.
BA.AB2.A4.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$52.BA2.BA2.BA2.BA2.BA2.BA3.B
A2.BA2.BAB2.ABA2.AB3.AB2.AB2.AB3.AB2.AB2.AB2.AB$53.BA2.BA2.BA2.BA2.BA
2.BA3.BA2.BA2.B2.AB.BA.B3.AB2.AB2.AB3.AB2.AB2.AB2.AB$54.BA2.BA2.BA2.B
A2.BA2.BA3.BA2.BA3.AB3.B4.AB2.AB2.AB3.AB2.AB2.AB2.AB$55.BA2.BA2.BA2.B
A2.BA2.BA3.BA2.BA.AB2.A5.AB2.AB2.AB3.AB2.AB2.AB2.AB$56.BA2.BA2.BA2.BA
2.BA2.BA3.BA2.BAB2.ABA3.AB2.AB2.AB3.AB2.AB2.AB2.AB$57.BA2.BA2.BA2.BA
2.BA2.B.A2.BA2.B2.AB.BA.AB2.AB2.AB3.AB2.AB2.AB2.AB$58.BA2.BA2.BA2.BA
2.BA3.BA2.BA3.AB3.BAB2.AB2.AB3.AB2.AB2.AB2.AB$59.BA2.BA2.BA2.BA2.BA3.
BA2.BA.AB2.A2.B2.AB2.AB3.AB2.AB2.AB2.AB$60.BA2.BA2.BA2.BA2.BA3.BA2.BA
B2.ABA3.AB2.AB3.AB2.AB2.AB2.AB$61.BA2.BA2.BA2.BA2.BA3.BA2.B2.AB.BA.AB
2.AB3.AB2.AB2.AB2.AB$62.BA2.BA2.BA2.BA2.BA3.BA3.AB3.BAB2.AB3.AB2.AB2.
AB2.AB$63.BA2.BA2.BA2.BA2.BA3.BA.AB2.A2.B2.AB3.AB2.AB2.AB2.AB$64.BA2.
BA2.BA2.BA2.BA3.BAB2.ABA3.AB3.AB2.AB2.AB2.AB$65.BA2.BA2.BA2.BA2.BA3.B
2.AB.BA.AB3.AB2.AB2.AB2.AB$66.BA2.BA2.BA2.BA2.BA4.AB3.BAB3.AB2.AB2.AB
2.AB$67.BA2.BA2.BA2.BA2.BA2.AB5.B3.AB2.AB2.AB2.AB$68.BA2.BA2.BA2.BA2.
B.AB3.A5.AB2.AB2.AB2.AB$69.BA2.BA2.BA2.BA3.B2.A.BA3.AB2.AB2.AB2.AB$
70.BA2.BA2.BA2.B.A3.AB2.BA.AB2.AB2.AB2.AB$71.BA2.BA2.BA3.BA.AB4.BAB2.
AB2.AB2.AB$72.BA2.BA2.BA3.BAB6.B2.AB2.AB2.AB$73.BA2.BA2.BA3.B9.AB2.AB
2.AB$74.BA2.BA2.BA4.A2.A.A.AB2.AB2.AB$75.BA2.BA2.BA2.AB.ABABAB2.AB2.A
B$76.BA2.BA2.BA.B2.B.B.B2.AB2.AB$77.BA2.BA2.B10.AB2.AB$78.BA2.BA4.A2.
A.A.AB2.AB$79.BA2.BA.A.BA.BABAB2.AB$80.BA2.BAB2.B2.B.B2.AB$81.BA2.B
10.AB$82.BA5.A.A.A.AB$83.BA3.ABABABAB$84.BA.AB.B.B.B$85.BAB$86.B2.A$
88.ABA$86.A.B.B.A$86.C5.C$86.B.A3.B$88.C.A$88.B.C$90.B!
Re: Synthesis
Posted: February 27th, 2014, 6:22 pm
by twinb7
Code: Select all
x = 13, y = 17, rule = reversible
5.A.A$6.C2$6.C2$6.C2$6.C2$6.C2$6.C2$6.C2$C.BA2.A2.AB.C$2.BA5.AB!
I find that an interesting signal transmission sort of thing.
Perhaps we should just call this rule 'Synthesis' after the thread?
P.S. it can be used to make a T flip-flop, as shown:
Code: Select all
x = 13, y = 17, rule = reversible
5.C.A$6.C2$6.C2$6.C2$6.C2$6.C2$6.C2$6.C2$C.BA2.A2.AB.C$2.BA5.AB!
Last interesting pattern with an alternating pattern of dead-state3:
Code: Select all
x = 43, y = 1, rule = reversible
CAC.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C!
Re: Synthesis
Posted: February 27th, 2014, 7:31 pm
by dvgrn
bprentice wrote:There are several very active threads in the Patterns section dealing with synthesis. For those of you who are interested in such matters install the Golly rule tree here:
viewtopic.php?f=11&t=1293&start=50#p10980
and name it reversible.tree.
Just a quick technical note: if you publish rules in post-Golly-2.4 format, like so --
Code: Select all
@RULE reversible
@TREE
num_states=4
num_neighbors=8
num_nodes=32
1 0 2 1 3
1 1 2 0 3
1 1 3 0 2
2 0 0 0 0
2 0 1 0 1
2 1 0 1 0
2 0 2 0 2
2 2 0 2 0
3 3 3 3 3
3 4 5 4 5
3 5 3 5 3
3 3 6 3 6
3 6 7 6 7
3 7 3 7 3
4 8 8 8 8
4 9 10 9 10
4 10 8 10 8
4 11 12 11 12
4 12 13 12 13
5 14 14 14 14
5 15 16 15 16
5 17 18 17 18
6 19 20 19 20
6 20 21 20 21
6 21 19 21 19
6 19 19 19 19
7 22 23 22 23
7 23 24 23 24
7 24 25 24 25
8 26 27 26 27
8 27 28 27 28
9 29 30 29 30
-- then you can install a new rule just by copying it to the clipboard and choosing File > Open Clipboard (Ctrl+Shift+O). Saves a lot of fiddling around naming files and putting them in the right place -- Golly does everything for you.
If someone will give me a good summary of 'reversible', I'll add it to the description section of the above .rule file.
Re: Synthesis
Posted: February 27th, 2014, 8:09 pm
by bprentice
twinb7,
Thank you for your contributions. Your presence has enhanced the Forum.
Here is another reversible rule that might interest you:
Code: Select all
@RULE RevBPRule003
@TREE
num_states=4
num_neighbors=8
num_nodes=47
1 0 2 1 3
1 0 3 1 2
1 1 3 0 2
1 1 2 0 3
2 0 0 0 0
2 0 1 0 1
2 1 0 1 0
2 0 2 0 2
2 3 0 3 0
2 0 3 0 3
2 2 2 2 2
3 4 5 4 5
3 5 6 5 6
3 6 5 6 5
3 6 4 6 4
3 4 7 4 7
3 8 4 8 4
3 4 4 4 4
3 4 9 4 9
3 9 8 9 8
3 8 7 8 7
3 7 10 7 10
4 11 12 11 12
4 12 13 12 13
4 12 14 12 14
4 14 15 14 15
4 16 17 16 17
4 17 17 17 17
4 18 19 18 19
4 19 16 19 16
4 19 20 19 20
4 20 21 20 21
5 22 23 22 23
5 24 25 24 25
5 26 27 26 27
5 28 29 28 29
5 30 31 30 31
6 32 33 32 33
6 33 34 33 34
6 34 35 34 35
6 35 36 35 36
7 37 38 37 38
7 38 39 38 39
7 39 40 39 40
8 41 42 41 42
8 42 43 42 43
9 44 45 44 45
Using Alexander's naming scheme, it should be named RevBPRule003.rule. Here is an example pattern, a period 488 oscillator:
Code: Select all
x = 15, y = 13, rule = RevBPRule003
13.B$14.A2$14.A$13.B$12.A$11.B2$9.B$A7.A$7.B$A$5.B!
To reverse these rules use this Python script:
Code: Select all
# Reverse the reversible rules
# Modified by Alex V to inverse all
# Author: Paul Nasca,
# based on the invert script by Andrew Trevorrow
from glife import rect
import golly as g
r = rect( g.getrect() )
if r.empty: g.exit("The pattern is empty.")
for row in xrange(r.top, r.top + r.height):
for col in xrange(r.left, r.left + r.width):
cell=g.getcell(col, row)
if cell==1:
cell=2
else:
if cell==2:
cell=1
g.setcell(col, row, cell )
If this rule does interest you, please start a new thread and show us some of your patterns.
Brian Prentice
Re: Synthesis
Posted: February 27th, 2014, 8:41 pm
by twinb7
bprentice wrote:twinb7,
Thank you for your contributions. Your presence has enhanced the Forum.
Really? Thank you!
I looked at the enclosed rule file. It seems nice, but doesn't seem to have support for gliders of any kind. However, your enclosed oscillator gives me the idea that maybe signals could be sent places along these diagonal lines...
I'll look into it, but I'm not sure what all there is I can find...
Re: Synthesis
Posted: February 27th, 2014, 9:11 pm
by twinb7
Wheeee~!
Code: Select all
x = 186, y = 83, rule = reversible
185.B3$182.B2.B3$179.B2.B3$176.B2.B3$173.B2.B3$170.B2.B3$167.B2.B3$
164.B2.B3$161.B2.B3$158.B2.B3$155.B2.B3$144.BA9.B$141.BA.BA$138.BA.BA
$135.BA.BA$132.BA.BA$129.BA.BA$126.BA.BA$123.BA.BA$120.BA.BA$117.BA.B
A$114.BA.BA$111.BA.BA$108.BA.BA$105.BA.BA$102.BA.BA$99.BA.BA$96.BA.BA
$93.BA.BA$90.BA.BA$87.BA.BA$84.BA.BA$81.BA.BA$78.BA.BA$75.BA.BA$72.BA
.BA$69.BA.BA$66.BA.BA$63.BA.BA$60.BA.BA$57.BA.BA$54.BA.BA$51.BA.BA$
48.BA.BA$45.BA.BA$42.BA.BA$39.BA.BA$36.BA.BA$33.BA.BA$30.BA.BA$27.BA.
BA$24.BA.BA$21.BA.BA$18.BA.BA$15.BA.BA$12.BA.BA$9.BA.BA$6.BA.BA$3.BA.
BA$BA.BA$BA!
Re: Synthesis
Posted: February 28th, 2014, 6:23 am
by alexv
dvgrn wrote:If someone will give me a good summary of 'reversible', I'll add it to the description section of the above .rule file.
The problem with summary is due to lack of terminology
viewtopic.php?f=11&t=1293#p10812
With proper classification it should be something like:
"Second order CA from B11,22/S22"
where B11,22/S22 is notation for two-state CA with scheme of sums:
Born: 1-sides,1-corners or 2-sides,2-corners, Survive: 2-sides,2-corners
Alexander
Re: Synthesis
Posted: February 28th, 2014, 2:08 pm
by twinb7
cambrian-implosion.rle
Code: Select all
x = 700, y = 786, rule = reversible
366.2B$366.2A12$321.2B$321.2A7$288.2B$288.2A3$288.2B2.2B31.2B$288.2A
2.2A23.2B6.2A$317.2A$334.2B$288.2B44.2A$288.2A2$334.2B$288.2B35.2B7.
2A$288.2A35.2A3$288.2B33.2B$288.2A33.2A3$288.2B33.2B$288.2A33.2A3$
288.2B33.2B$288.2A33.2A3$288.2B33.2B$288.2A33.2A3$323.2B$323.2A11.2B$
288.2B46.2A$288.2A$323.2B$323.2A11.2B$336.2A4$323.2B$291.2B30.2A10.2B
$291.2A42.2A2$289.2B$289.2A$325.2B$290.2B33.2A8.2B$290.2A38.2B3.2A$
330.2A$325.2B$290.2B33.2A5.2B.2B$290.2A40.2A.2A2$309.2B$290.2B17.2A$
290.2A$330.2B$325.2B3.2A$325.2A2$330.2B6.2B$330.2A6.2A3$330.2B40.2B$
330.2A40.2A4$294.2B$294.2A2$330.2B$330.2A2$294.2B$294.2A34.2B$330.2A
3$316.2B12.2B$316.2A12.2A$289.2B$289.2A5$288.2B19.2B19.2B$288.2A19.2A
19.2A17.2B$349.2A3$350.2B$350.2A2$330.2B14.2B$330.2A14.2A4$327.2B$
327.2A$347.2B$347.2A3$327.2B18.2B$327.2A18.2A2$332.2B$332.2A3$310.2B$
310.2A38.2B$332.2B8.2B6.2A$332.2A8.2A2$350.2B20.2B$310.2B.2B35.2A20.
2A$310.2A.2A$318.2B$318.2A52.2B$310.2B.2B17.2B38.2A$310.2A.2A17.2A$
318.2B8.2B9.2B$318.2A8.2A9.2A9.2B20.2B$315.2B15.2B16.2A20.2A$315.2A
15.2A$318.2B8.2B$295.2B16.2B3.2A8.2A42.2B$295.2A16.2A17.2B5.2B31.2A$
332.2A5.2A$318.2B8.2B15.2B$313.2B3.2A8.2A15.2A26.2B$313.2A17.2B39.2A$
332.2A$318.2B$318.2A9.2B42.2B$329.2A8.2B4.2B26.2A$339.2A4.2A3$338.2B$
330.2B6.2A$318.2B10.2A10.2B$318.2A22.2A2$331.2B$331.2A5.2B2.2B$338.2A
2.2A$325.2B$325.2A4.2B11.2B$331.2A11.2A$316.2B$316.2A2$343.2B$343.2A
3$343.2B$343.2A$318.2B$318.2A$343.2B10.2B$343.2A10.2A$318.2B38.2B$
318.2A38.2A$343.2B10.2B$332.2B9.2A10.2A$309.2B7.2B12.2A24.2B$309.2A7.
2A38.2A$355.2B$355.2A$318.2B$318.2A3$318.2B29.2B$318.2A29.2A$358.2B$
358.2A$318.2B19.2B8.2B$318.2A11.2B6.2A8.2A$311.2B18.2A$311.2A$318.2B
19.2B7.2B17.2B$318.2A11.2B6.2A7.2A17.2A$311.2B18.2A$311.2A$339.2B7.2B
8.2B$339.2A7.2A8.2A$311.2B5.2B$311.2A5.2A51.2B$339.2B3.2B2.2B5.2B14.
2A$330.2B7.2A3.2A2.2A5.2A$318.2B10.2A$318.2A58.2B$311.2B45.2B18.2A$
311.2A17.2B26.2A$304.2B24.2A12.2B$304.2A28.2B8.2A$334.2A2$277.2B25.2B
36.2B$277.2A25.2A24.2B10.2A$294.2B15.2B17.2A$294.2A15.2A13.2B$304.2B
20.2A14.2B$304.2A24.2B10.2A$294.2B3.2B29.2A$294.2A3.2A10.A.A16.2BA36.
2B7.2B$304.2B6.2B.B.B.A10.ABA9.2B.2B22.2A7.2A$304.2A5.A.AB3A7.A.B2.B.
A9.2A.2A$277.2B15.2B16.AB.4BCA3.BABA3.A2.2BA5.2B.2B$277.2A15.2A16.2BC
BC3A3B.ACB2.BA2B.A6.B.ABA32.2B$304.2B7.ACACBA.A2C2.C.ACB2A2.B2AB2.A.A
B2.B3.B27.2A$304.2A5.ABA.CBCAC2B5ABCABABA.BC3B.B.BA3.BA2.A$294.2B18.C
2.B.BCACA2C.CBAB3CA2BCBCB4.A2.2BA.B$294.2A15.ABABC.A.AB4AB2A.ACB.BC.
2B.2BAB2.A3C.A$299.2B9.2B.B.BCB2A3CA.2C.B3.AC2A.2A.3BC.BC2AB2AB18.BA$
299.2A3.A.A3.A2.A.3BC3BA.B.2B2C.2AB2A2CACBAC.2B2AC.C2A.AB10.A2.BC2B$
281.2B22.2BA2.3BA.CB.2C.CBC2B2CB.2BA.CACA.BA.3B2.AC.BCB2AB4.3A.A3.B4A
$270.2B9.2A22.A2C2.B.C2.2A3CA2.A2B.C3A2BCB.3B2.B2AC.BA2.B.3BA4.A2B.AC
2A$270.2A22.2B4.B.B.2B2.CAC.4B2A2C2AB5A2B2AC2B.CB2C.2B.ACB.AB.B.CA.B.
A.2B.AC.2BAB$294.2A.BA.3AB.A.2A3B.2B2.A2C2.2C2A.CABAC.2A2C2AC.B.B2.BA
BCB2CA.CACAB3AB.BA.ABA3B$293.BABA3B2.2B.B.CB2.C2BAB2C.A2C.BAB.A3.CA.A
.2CB.C3B.BA2BA2.A.2BA.BA.2BAC.2A3.B2A$277.2B2.A13.2BCA2.A3.A.C3.B.C2B
CBCA.A2.BABAB2.CA.BA3C2AB.2AC2.C2BA3CBA.B2AB2.B.A5.2B$277.2A2.C.A7.AB
A2BABCB.BABAB2CB.A.2A3.A2.2CAB.C.B.BAC3BCABCBC6.BC2BA.C2AB.2C2BA.A.B
5.A$271.B7.A.A2.BA4.BAB.A.C3B.C2B.B.BC.3B.2ACBC4AC.ACBC.2C3.BA.CBA2BC
.BC.CBACB.A.CBCB.C.2BA4.BAB$218.BA6.BA2.BA38.CA6.BABA.B.A4.B2.B2.C.A.
A.2A3.B.C.3B.BCB6.2A.BCBC2B2CA3.A.BC.CABA3C.C.A.B.2CB2.BAB5.2A5.AB$
212.BA4.BA6.BA2.BA38.BC.B3.2B.2B.B.A.AB2.A.ACAB.B.2A2BA.2CAB2.CBCABCA
.2C.AB.A2.A.ACBA.3CACA.C2BA2C.2BACB2CB2CB2A.2B3.B2.C5.AB2.AB2.AB$208.
BA2.BA56.4A2.B2.B.B2ABABA7.3A2BA.CAB2.BA.BAC.AC.A2C2A.ABCAC4ABC2BC.BA
C2A2BAC2.CABC.2A2CAC3BABC3B.BA10.AB2.AB64.AB$208.BA60.2B.B3.2BA.A4.2A
.A.A.2A.C2BA2CBCACA2.A.C4B.ACAB2A2B2C.A2.4A.C2ACBABABACB2.BA3C2.B.AC
2A.2BCABA.2B51.AB4.AB2.AB12.AB2.AB$270.A.BAB2.ACA.C2ABA2.BA.B.A2.CA3B
A.A2CACBCABC.2B2.C2B.A.AC.BC2A.C3ACBAB.B.2CA.A2C.C2ACB2.CB.ACA2C.A.B
50.AB2.AB4.AB2.AB12.AB$270.3BA.2BCABABAB.A2.2B2ACAB.A2C2BA3CA3CB.B.2B
ACB.A2.C2.AB.2B.C2A.2A2.ABC.B2CB.2C.B.A3BAC.3C.ACB2.A.AB.BA3.ABAB37.A
B$272.A.B2A3.CBA.A2.BA2.2B2ABA.BCABCBC.C4A.A.CABA2BA.B3.2BC2ABCBC2A.C
.BCB.BA.2A.BAC.CB.A3.2B.CABAC3.B.B2.A.ABA.2B$272.B.3B3.2B.B.2B2CB2.3C
A.A.BAC2AC5B2.A2.ACBC.B.A5.2BA.CBCB.2C3B.CAC.CABAB2.CA2CB.3C2B2A2C.B
2.2BA.B.B2.B2A249.AB34.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB$270.3A.A2BAB.BC
.A.A.CAB.ABACBC2.2BAB.CA3BA.2B.3ACAB.BA.BA2CACA.AC3.C2B3A2.2C.AC2ACAB
.C2ACABCA3C2BCB.B.A.A.2A254.AB34.AB2.AB2.AB2.AB2.AB2.AB2.AB2.AB$271.B
.AB.3A.B2CBA.BACA.B2.CBACA2.CACBCA.ACA.C.A2B2C.2CABA.CB3C.CAB.A.2BACA
2CA.B.C2.C.C.A.CB.A.A.ABA.B3.2BA2BA2.B$171.BA97.2ABA.BAB3.2ACA3B.A2C
2.ABCBC.2B2CAB3.B2C3.B.CB2A.C2.C3BCA3C2.C.C2.B.2BA2B.3CBA.CACA3B2C.A
2.C.A.B3.A2.3A2.B$150.BA2.BA4.BA9.BA15.BA80.2B3.2BC.AC2.AC2AB.B.2B.AC
2B.CAC2.3A.5CA.CBA.A2CBA.A.A.A2CA2.AC.AB.A3B.2BCAB2A.A3BC2.2A.AB2C.A
8.2BCA.CB3.2B$150.BA2.BA4.BA26.BA82.BABA.ABACBCAB.ABCA.C.CB3C2ABC3.2A
2CA.BA.A2BC2.C2.C2BA2.B.A.B.CB2A2.ABA2.2CBC2AB2C4A2B.BABA.B2.C5A.A.3A
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C3BC2.2B.B5A4B.2B.CACB.A.2B2.BA2C2.2AB.A5.AB$270.4A.3A.4AB.B4.5B2.A.
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2A2BA3B.B.BC.2C.CBA2.AC.A3B.B2A.BC.B2C2.C2BAB.BCAB2CB.2BAB2.B70.AB2.A
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6A.2BABA.CAB.C.ACBACA2C.AB2.C.BC.AB.A2.C.AB2.A.B.C.C.CB.C.2ABC.2AC.B
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2BA2BCA2B.A2.BABA.B2AB.C.ACB.B2.A.C2B2A.CACABA.B2.BCBA.B2.B2CA2.3B3C
3.2ACB2A58.AB5.AB41.AB$283.2A.A.2A.BC2AC2A5CA2B2CB.CBC2BA.B.B.2CA2C2B
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A2C3ACBA.BA.AB26.AB$286.CBABA2BA3B.A2BA2BA3C.2A3C.A2CA.BCAC2BA3CB.2C.
BC2.CA2.BACB2ABA2.B3AB.CAC.BA2CB2.B.2C.BC3.B2.2A$237.BA43.A7.2A2.A.C
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3A2CA2.2B13.AB2.AB8.AB18.AB2.AB4.AB2.AB2.AB2.AB4.AB$237.BA4.BA2.BA2.B
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2.3B.2C.2ABCBA.B.B.CACAB.2BCAC.2A.AC.2ABC.CBA2.CA2B2ABA$282.A.AB.BABA
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2.CB2CABC2B2ABA$275.BA5.AB.B2A.2AB.AC.C.2CABA.2A.A.BAB.B.C2.AB2.CA2B
3A2BCAB.BC2B2ACA.CA2.B2A2B.C.2BCA.AB.AC2BABC.B2.A2.B$275.BA5.B.2BAB.B
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2.2B.ABAB2AB.3B2.BAB4.2A56.AB2.AB18.AB.AB$259.BA2.BA17.A.2A.A3.A.BA.A
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2CACB2A2BA17.AB44.AB2.AB18.AB.AB$259.BA2.BA17.3B.2B4.4ABAB.3A2.C4AB.
3C.CAC2.AC4B.3A2B4C3.BCAB4AC2B2.B.AC.AC.2B.B2CB.C2.ABA.B.A16.AB$283.
2A.2A3.A.AB2.2BABC2B3.2A2BC2B2C2ACA2.BC2.C.BCA2.2AB2CBAC2A.BA2.A3C.C.
A2CACA2BCACBC2.A3BCA2.CBABABA.A.AB$287.B5.B.2A.2A2.C.BA2CA3B3.AB.2CBA
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284.2A.A3.A2.A2BABA.AB3.BA2C2.4BA3.C.BC4B2C2.A.B2C.C2A.2B2AB.AB2ACAB.
CA2.A2BC3.C.3C.2CA2B.CA22.AB4.AB2.AB2.AB2.AB$269.BA2.BA2.BA3.ABA.CB5.
2BCA2.A4.2BC.A2B.2CACB.2CB3C.C2B.BACB.B.3BC.2BACBCBAB3.2A2BAB.CB.AB2.
CB.CB.A5CAB11.AB2.AB5.AB4.AB2.AB2.AB2.AB$269.BA2.BA2.BA6.BAB3.A4.B9.B
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2.B12.AB2.AB60.AB2.AB8.AB$282.B2.B7.ABA2.B3.2B2.2A.C2.C3BAC.BACACB2.A
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2C2B3A2BA.BC.BABCA.CA2BAB44.AB12.AB$275.BA8.BAB13.ABAB3.4B.2C.2AB2CBA
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2B.A2.2BA$285.BAB6.B.BA.A2.5BCAC2B2ABCA2C.2BAC2A2B2.B2.BABCACABA2CA.C
2.A.2BA.B3.3C2B2CABA.A2BC2.B$285.B.A3.A7.AB.A2.ACA2.B.C2.BCBACACB3CA.
2ACBA5BA.2ACB2.B.4ACA.2A.C4A.BA2.C2BC.B.B$285.BCB11.B.A.B.CBC2.3BAC.B
2CBC.AC4A3CBA.CA2BCAB.A.B.B.3B2.2ACBAC3BC2BCBA.AC2.2BC.B30.AB6.AB2.AB
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3A.CB2ACA.CA5CB.A2.3A30.AB6.AB2.AB2.AB4.AB3.AB2.AB2.AB$286.CB11.2B2.A
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2C81.AB$285.BCB7.A2.BA.CBA.ABC2.CAC2.C.BAB.B2CBACAC3AB4CBC2BA.A.C.B3.
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ACBC5.B38.AB4.AB4.AB2.AB2.AB2.AB4.AB2.AB$285.BAB11.B.B3.BCBC.AC2B.B.
3CB2CB.C4A2.C2A2B3.A3.C.2C2.B2A2.CB.AC3A.AB2ACBABCAB.B2A58.AB$285.B2A
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2B3A2BA.A.2A3.A2CAC2B3A.CB2C.2C2A.A2B3AB2A3BAB64.AB2.AB$285.BAB13.BAB
.A3BCACB2A.B3A2.2CACB.A.C2ABCA3B4C.B2CB.BA2.A2BC3A.BCB.C.B3.BABA$285.
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CB.B2C2A.AB2AC.B12.AB2.AB2.AB2.AB8.AB4.AB4.AB$285.BCB5.AB2.ABAB2CBAC.
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2.AB2.AB8.AB4.AB4.AB$285.BA4.A9.2C2BC2.C2.2BA2.2A3.B2CA.2A.A.BC.2A4.B
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2AB2.A3.C2.A2.BA.2CA2B.C2.CAC.AC.2A.CBA.CAB.A67.AB$285.B2A3.A8.B2.B.
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BC2A.B2.3B.B.5AB.A2.A.C.A3.AB2.AB2.AB2.AB$285.BA4.A.ABA.AB.A2CB.B.2A
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8.AB2.AB4.AB2.AB4.AB$286.CB5.2A2.AB.ABA2.2C.CAC2BA2C.CA2B.ACB2.BAC.2A
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2C2B2.AB2.A.2B$286.C7.B3A.2A.CB2.B2.A2CB4ACA.ABA2C2B.CAC.B3CA2BA2.3B
4.2A3B2.3B.B.2CB.2CBC.A.AB2A.AB4.AB55.AB$285.BA4.A.A.B.CB4.BC2.B2A2CB
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B2C2.B.CB4.ABA51.AB$285.B2A3.A.ABA2.BC.ABA.C.C.BC.C2.B2AB.C2BAC2B.BC.
ABC4A9.2B2C.3BABAB3A.C2.CBA2.2A.2B51.AB$286.C6.AB3A2B.AB.BC2B2C.A2.C
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2.CAB2.C.AB2ABC2.4ACBC2A.A3.A.AB28.AB$285.B.A3.A2.B6.ACB.BCBAB.C2B2.B
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ACACA.AB2CA22.AB6.AB6.AB$285.B2A3.A.A2.BABA2B2AC2B2.4B.BA3BA.A2CAB.2A
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B5.AB4.AB2.AB$285.B.A3.A7.A3BA2B3.4B.ABA.B2A2BACB.BACA2.2BC2B.A2BAB6.
A2CACAB.ACBC.2A3.ABC2.B2ACA6.AB4.AB2.AB2.AB$285.BAB9.AB.A.CA3.A.B.CB.
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285.B2A3.A5.A2.BA5.B3AC.BC2BCB2A.2CAC2.CB2CA3.B2A2B4.A2.B.CBA.CAB3A.C
2B3A.BAC.3CB.B34.AB2.AB$286.AB13.AB.BACABCA2.A2C.C2AB2ABC.C.ABCBC2.BC
A.A2B7.BC.2C.C2.A2C.B.B2CB2C3B2CB36.AB2.AB$285.B.A3.A.ABA3.A4.2B.CBAB
C3A.A3B2ABC.B3.C2.ABA2.2BA.ABA4.BA.2B.CBAC.2B.C4BA.2ABC.2BA$286.CB5.A
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2.C3.A17.AB5.AB2.AB2.AB2.AB$285.B2A3.A9.AB4.A.A.BCB.C.2CAB.BC3A.A2.A.
2A2.B.AB3.BABA.2A.A2C2A4.C.AB.C2ACA3.B18.AB5.AB2.AB2.AB2.AB10.AB$285.
BAB5.A7.AB.2A.2ABACBA3C.A4C4BC.B.2ACB8.ABA3.A2.A.A3BC.A2.3BCBC.A.B51.
AB$285.B.A3.A.A11.AB2.BA.AB.CB3.CBCAC2A.B.2A2.A10.2BAC.2C3.B.ABCAB.2B
A2.CAC2A$285.BCB20.3C2.BACB3.AB2C.C.2B.BAB4.2A7.A.C3ABCBC2.2A2BAC.CB
2.ACA$285.BA4.A3.A12.BA.ABC3BA.A2.CABA2.AB7.2B8.2BC.BAB2.BACA2BCBC3.C
BA2.BA7.AB2.AB$286.CB7.A4.BA.A2.BAC.2B2.BA.BA.CA2C.C.A2.2A15.A.AB3ABA
.2BAB.3B2.2AC2B.B8.AB2.AB$285.B.A3.A8.BA.A2.BCABABA.3A2CBAB2C2AB.A.2B
19.A.CA2BAC3.AC2BA2B2A.A$286.AB19.BA.2C.BC.B.2C.2AB2A3.BA.B3.B.BA7.3A
.BCB.BCA.B2A2CB4C.B.2BA9.AB$285.B2A3.A15.3A.CB3.CBCBA3CAC.B.A.ABAB.B.
B8.B.A.2C.CA.2B.2B.C.A2B4A.A10.AB$285.BCB22.2A4B.B.C.BCB2CB.AB.2A2.A
4.B2.ABABA3BA.B2CA2.C2A.AB.2A.ACABAB$285.B.A3.A2.B.BA10.A.CA2.A.B2.3A
3C.AC.C2B7.AB2.ABA2B.B3ACA.A2C2A2.B.CA.C2.2A$285.BAB6.B.BA.A4.BA.AB2.
2C.CABA.BCBACBA2B.C.AB10.B2.C2AB.C.AC.C2BCA3BABC.A2.AB$285.B2A3.A7.A
4.BA.ABA.BABABCAC2ABC2AC2BAC2.B11.ACAB.ABAB2AB2C.B.AB2C.C.AB2.A37.AB$
286.AB21.B2.C2BA.B.ABA2C2B2CA.B6.AB3.BA2BA4BC3BACA2.B2ACBA3.3ABAB2.A
9.AB2.AB6.AB2.AB5.AB$285.B.A3.A18.2A.C.2BCB2ACBA2B2.2ACA5.AB3.BABA2BC
2ABC.CBA2B2.2CA3.C2.B.BCBA11.AB2.AB6.AB2.AB$286.CB21.B2.2B2.AB.CABC2B
C.C.A2B13.B.CA.C2.2ABACA.CBC.CB.2AB.AC2A.B$285.B2A3.A.A.A.A.A2.B.BABA
.AC2A.BCB2A2.B3C2A.3A2.A10.B.3A2B2.B.2ACBCA4CB2CBA.B2.B2ABAB2.AB24.AB
$285.BAB5.A.A.A.A.ABABA.A.B.A.CA.A3.ABAC2B4.2B.AB9.BA3BA5.B.ACBA.C2AC
ABA.ABAB2.2BAB2.AB24.AB$285.B.A3.AB8.B.B2.A2.A.B2CB.CBAC2.B2A.B2.ABA.
A12.A.A7.AB2A.A.BCB2AC2.C.2AB$285.BCB8.BA3.2A.2A2B3.BAC.CABC2.A2CB2.A
B6.B21.A3.A.B.C3B2CA2.B2A16.AB2.AB$285.BA4.A4.BA4.3B2.2A2.A2B2CABABAB
CA2.A.C.2A2.2ABA11.2B9.BC.2B.2C2ACA2B.2B16.AB2.AB$286.CB14.A.A2.2B3.C
.A2C2A.2BCB.B.A.A2B2.BAB20.3BAC.C2.CB.CBABA$285.B.A3.A.A2.B.B3.BAB.2B
3.BCA.B.B2AC.BCB.A.A.A.B5.B6.2B.A2B6.2A.2CBA3B.AC.2B$286.AB5.A2.B.B3.
2A2.A2BA2.BC.AB.A3.AC.C3B.BA5.A2.ABAB.2A.3A.A5.BA.C.A3BA4CAB$285.B2A
3.AB8.B3.ACB3ABC.A.A5.2C3A.C2A7.BCB.C.AB6.A5.A2CBC2B2CACAC.AB$285.BCB
13.AB.B2C2B3CA3B3A2B.2C3BA2B.B6.2B.3ACBC.B5.BA2.CBCBCBCB2.CABA25.AB$
285.B.A3.A10.B2.B2CA3.3BA2BCB2AC3ABAB.BA6.BABA.BAB3A5.BA3.ABC4.C30.AB
$285.BAB8.BABAB2AB.BACA2.A.CBACBC.A.2C6.BA6.BA3.2A2.A11.ACACB3.C$285.
B2A3.A2.BA2.BA3B3.AB2CA.B2AC2.A.A2BC.2A15.AB13.BAB.BABABCAB2.2B$286.A
B6.BABAB7.ABAB.A.BCA.CBCB2A2C.BAB.B10.2B14.B2AC2B.ABACA2.2A$285.B.A3.
A11.A2BACAB.B.2BC.A.B.CB2C.A.C2.A.A7.A2.BA2.BA2.BA.A.2AC2B.B.A2CB$
286.CB15.A3B4.AC2.2A.C3BACBA3B.BA.A7.AB.BA2.BA2.BA.A2B3.AB.B2CBA24.AB
$285.B2A3.A10.A.A.A4.2B.BCAB2ACAC3AB.2ABA26.BA2.2AB.C2BAB22.AB$285.BA
B11.A2.3BABAB4.BACBC.BC.AB.2B4.B28.B.BCACB.CA.AB6.AB$285.B.A3.A.A2.B
2.AB3AB.B2.A.ABCA2CB.A.2BC2AC.A.BAB24.A2.B3AB.AB3.AB6.AB$285.BCB5.A2.
B5.BABAB.BA.AB3.CB2CB.C2B2.C.A2B.A13.A6.BA5.B.3BA.B.2B$285.BA4.AB8.2A
9.BA2B2.C.A.BACAC.B2C2A10.BA9.BA6.2BCBABAB.A$286.CB13.2B11.AB.B.AB.2C
BA2C2.B.2AB7.2BA.2B13.CB.CBACABA$285.B.A3.A20.B2A3BCBACBC.A.BCAC2.2B
7.B.2B.AB11.A.3C.A2B$286.AB22.A.AB3CB2CABCBAB.BAC.AC.A12.AB10.AC2A2CA
.2AB$285.B2A3.A.A.A.AB2.AB2.ABAB2.BCBAC.2CBCB3CA3.2AC12.A14.B3A.BCB2A
B$285.BCB5.ABA.AB2.AB2.ABAB2.CAC.BA.A.B.2CBA2.C.A25.B.B.2BC.BC.B$285.
B.A3.A19.2A2B2AB.2ABC3A.A.BA2.BA.AB4.AB10.BAB.2A2CB4CA$285.BAB8.BA12.
ABA.4AB2.2ABC2.A.ACBABA.AB4.AB10.BABA2BC.ACBCAB$285.B2A3.A4.BA11.AC.A
2.BAB.BA.BC2AC.3C.A25.A3BC2A2C.AB$286.AB23.ABA.A2BCA2BA4BC2AB26.B.2A
3BC2ABAB$285.B.A3.A10.BA2.BA.AB5.CB2A.3C2.A.BA18.BA2.BA3.A.A.B2.B.3B$
286.CB14.BA2.BA5.A.AC.3B2A2BABABCB17.BA2.BA3.A2.BA.A2BC$285.B2A3.A23.
AB.2B.A3C2A.A.A32.B3A2.BA5.AB$285.BAB10.BA2.BA2.BA2.BAB.B.A2CA.3C3BC
22.BA2.BA6.2B12.AB$285.B.A3.A6.BA2.BA2.BA2.BABA.4B3.CAC.C.A21.BA2.BA
2.BABABC.B.4B$285.BCB26.2A.CA3.2CB2.AB29.BAB.B2.B.BA.A$285.BA4.A4.BA
2.BA12.BCACB.CBCAB.B.A34.3BAB$286.CB8.BA2.BA3.A.A4.B.AC.CB2.CAC2B.2B
32.A2.AB$285.B.A3.A13.A.A2.BAB.2BA2.2CABC2BA25.BA7.B.2C.AB$286.AB22.B
ABA.A2CBAB.ABA2BAB8.AB13.BA8.2A.AB$285.B2A3.A23.2A3B.A2CABA.2AB6.AB
23.B2.2A$285.BCB27.2B.A4CBCB.CBAB12.AB11.BA2.B.CA3.AB$285.B.A3.A.ABA.
AB2.AB12.AB2.A.A3CA2BC14.AB11.BA2.BA2.A2BA$285.BAB5.ABA.AB2.AB13.BC.B
.BACBA2.B36.B$285.B2A3.A25.A.2A2CAB2.AB34.3B2.B$286.AB31.2BA3CA.CB14.
AB4.AB12.2AB$285.B.A3.A27.ABCBA3B.CA13.AB4.AB7.BA4.A.AB$286.CB30.BC.B
CB.2BC2B28.BA3.B2C.2A$285.B2A3.A.A.A4.BA4.BA7.AB2.B.BC2A.2AB34.B.A.2B
$285.BAB5.ABA4.BA4.BA8.2BCBCBA3B39.B$285.B.A3.A23.A2BC.2CBC5A36.B2.B$
285.BCB7.AB21.C.B4C.2B37.B.2A$285.BA4.A3.AB19.2B.2CA4CB2.AB34.BAB$
286.CB26.ABAB3ABAB2AB2.A35.B.2A$285.B2A3.A2.B3.BA14.A2B2A.AB3C3ACAB
22.AB4.AB2.A2B.2B$286.C7.B3.BA14.A.B.BA2BAC2.B.2B23.AB4.AB2.A2B$285.B
A4.A16.BA4.BAC.A.B.BC2AB.BA35.B$286.CB20.BA4.BA.2BAB.2CBC.B37.B.2A$
285.B2A3.A21.ABAB2A.2CBAC.CAB36.BA2B$286.C30.B.CBA2C3BA37.B.2A$285.BA
4.A2.BA2.BA16.B3.A.2CBABA37.B.B$286.CB6.BA2.BA16.BCBCB.2CB2.B37.B$
285.B2A3.A24.BA3.2B2CA.ACA3.AB12.AB2.AB2.AB8.B2.B$286.C28.A.B3A.AC3.A
B.B2.AB12.AB2.AB2.AB8.B$285.BA4.A25.B2.BABAC.B2A.A34.B2.B$286.CB28.BA
.2A.2C2B.A.B3.AB30.B.2A$285.B2A3.A8.BA2.BA6.BAB.B2.ACBC3ACABAB2.AB30.
BAB$286.C13.BA2.BA6.BA.A.2B.B.AC2B.A13.AB22.B.2A$285.BA4.A23.ABAB.A.C
ABAB.C12.AB22.B.2B$286.CB32.BA2C2B39.B$285.B.A3.A29.CB2CA.2A2.AB2.AB
2.AB2.AB2.AB16.B$286.AB29.B.CBAC2BA5.AB2.AB2.AB2.AB2.AB16.B.2A$285.B
2A3.A14.BA2.BA2.BA4.A.BC2ABAB36.BA2B$285.BCB18.BA2.BA2.BA3.CB.AC2B.2B
AB2.AB2.AB26.B.2A$281.2A2.B.A3.A26.A.A2B4A2.AB2.AB2.AB26.B.B$281.2B2.
BAB26.BA.AB.B.2CBA.B37.B$285.B2A3.A22.BA.AC2A.BCB.2A37.B2.B$286.AB30.
BCA.A3B39.B.2A$285.B.A3.A20.BA2.BAC.ABCACA2.BAB4.AB2.AB24.BAB$286.CB
24.BA2.3BAB2AC2B.ABAB4.AB2.AB24.B.2A$285.B2A3.A26.B.A2C3AB2A36.B.2B$
285.BAB29.A2B.B2CBCBABAB34.B$285.B.A3.A27.ABABAC3.BAB34.B$285.BCB31.C
B.2CBA2B37.B.2A$285.BA4.A25.A2.A.2C.2A38.BA2B$286.CB30.B.B.A2BA.B37.B
.2A$285.B2A3.A10.2A14.B.A.2CBA.AB2.AB32.B.B$286.C15.2B14.B3.2CB2.AB2.
AB32.B$285.BA4.A25.ABAB.C3AB38.B2.B$286.CB31.C2.2C2B39.B$285.B2A3.A
10.2A14.B2A.BAC2A38.B2.B$286.C15.2B15.CBA2CB40.B.2A$285.BA4.A26.B.A.C
3A39.BAB$286.CB31.AB.ACB40.B.2A$285.B2A3.A26.B2A2B3A39.B.2B$286.C31.B
CBA2CB40.B$285.BA4.A10.2A14.B.A.BACA39.B$286.CB14.2B14.BAB.AC2B39.B$
285.B2A3.A20.2A4.B2A2B.A40.B$286.C25.2B5.AB.A.2B39.B$285.BA4.A16.2A8.
B.A3B2A39.B$286.CB20.2B9.CB.A.2B39.B$285.B2A3.A26.B2A3BA40.B$286.C31.
BAB.A.2B39.B$285.BA4.A26.B.A3B2A39.B$286.CB30.BCB.A.2B39.B$285.B2A3.A
16.2A8.B2A3BA40.B$286.C21.2B9.CB.A.2B3.2A34.B$285.BA3.A27.B.A3B2A3.2B
34.B$286.CB2.2B27.AB.A.2B39.B$285.B.A3.A16.2A8.B2A3BA40.B$286.AB20.2B
8.BCB.A.2B3.2A34.B$285.B2A2.A27.B.A3B2A3.2B34.B$285.BCBA.2B26.BAB.A.
2B39.B$285.B.A.B2A26.B2A3BA40.B$285.BABA.2B28.B2A.2B3.2A34.B$285.B2A.
BA17.2A9.2A.2B2A3.2B34.B$287.BA.2B16.2B9.2B3.2B39.B$286.2A.B2A73.B$
286.2B2.2B73.B$365.B$361.2A2.B$290.2A27.2A40.2B2.B$290.2B27.2B44.B$
322.2A.2A38.B$322.2B.2B38.B$365.B$365.B$290.2A73.B$290.2B69.2A2.B$
308.2A51.2B2.B$308.2B55.B$290.2A73.B$290.2B69.2A2.B$361.2B2.B$365.B$
290.2A73.B$290.2B73.B$365.B$365.B$365.B$365.B$290.2A73.B$290.2B73.B$
365.B$365.B$290.2A31.2A40.B$290.2B31.2B40.B$365.B$365.B$290.2A73.B$
290.2B73.B$365.B$365.B$290.2A73.B$290.2B73.B$365.B$365.B$290.2A18.2A
3.2A48.B$290.2B18.2B3.2B48.B$365.B$365.B$365.B$365.B$365.B$365.B$365.
B$365.B$365.B$365.B$365.B$365.B$365.B$365.B$288.2A75.B$288.2B75.B$
365.B$365.B$288.2A75.B$288.2B75.B$365.B$365.B$365.B$365.B$288.2A75.B$
288.2B75.B$365.B$365.B$288.2A75.B$288.2B75.B$365.B$365.B$365.B$365.B$
288.2A75.B$288.2B75.B$365.B$365.B$365.B$365.B$288.2A75.B$288.2B75.B$
365.B$365.B$288.2A75.B$288.2B75.B$365.B$365.B$365.B$365.B$288.2A75.B$
288.2B75.B.2A$365.BA2B$365.B.2A$288.2A75.B.B$288.2B75.B$365.B2.B$365.
B$288.2A75.B2.B$288.2B75.B.2A$365.BAB$363.2AB.2A$288.2A73.2B2.2B$288.
2B5$288.2A8.2A2.2A$288.2B8.2B.A2B$299.AB.2A$298.2B.AB$298.2AB.2A$298.
2B.A2B$299.AB.2A$298.2B.AB$298.2AB.2A$298.2B2.2B$288.2A$288.2B!
Re: Synthesis
Posted: February 28th, 2014, 2:10 pm
by twinb7
almost-impossible.rle
A glider enters an oscillator, seemingly creating a brand new oscillator- however, after a while the glider leaves again, reassuring the reversibility of the automata.
Code: Select all
x = 16, y = 8, rule = reversible
BA$BA13.A$15.A$5.11A$5.A$5.A$5.A$5.A!