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The Spirallers Question

Posted: May 24th, 2020, 7:31 am
by BokaBB
I was thinking about one weird,but maybe possible type of the patterns:Spirallers.
I was thinking about them as about patterns that are moving spirally.
I have devised 3 types:
1. ,,Pure" ones, without support of anything, probably impossible.
2. Clock needles,probably the most possible type. One of their end is not moving and another one is growing and spiralling. Similarly to clock needle,but growing.
3. Supported spirallers,what are supported by something for an example with gliders. Possible,but the supporter definitely should be in the center of the spiral to remain intact or to be protected in some way,or if it is faster than the spiraller itself. Also,it must be able of firing supporting signals in many directions.
Something similar is possible in the some Generations rules and is known as Zhabotinsky reaction. However,that is something totally different,since this reaction is both moving away from the centre and remaining in it,what should not be the case,expect if it is a needle - type,but it also is not.
Also,these patterns are not supposed to leave debris behind,expect if they are sawtooths or and it is cleared later. They should either not grow,grow like a clock needle (read the number 2 of the possible types),grow,but does not tend to cover the infinite plane or grow as sawtooth(I have seen some spiral growth,but it actively grows and do not moves).
They cannot be clasified neither as oscillators or spaceships,but a totally new class of patterns.
If ever found,they might be a really suprising discovery.
However,they are much more likely to be found in the other cellular automata. Larger than Life might be a good candidate,since I have seen bugs that are turning under the influence of the other ones and the other objects.
What do you think?Maybe they are already known?
If not,can someone try to prove or disprove their existence?Please help me and everyone to find them!
Have a good day!

BokaBB

Re: The Spirallers Question

Posted: May 24th, 2020, 7:53 am
by lemon41625
I don't think they exist.

Simple proof:
You are looking for a pattern that does not grow. Hence, it must be perodic as the number of possible phases the pattern can be in are finite.
If the pattern returns to the same phase again, it will repeat the same motion because CA is deterministic.

Hence, the pattern will not spiral outwards, at least not forever. It could do so temporarily before becoming a perodic pattern.

Note that this proof is only true for discrete cellular automaton. In continuous ca, such pattern may be possible since there exist infinite values between 1 and 0.

Re: The Spirallers Question

Posted: May 24th, 2020, 9:07 am
by BokaBB
I was thinking about one another idea:Rotating while one end remains in the center and other grows,similarly to clock,but growing.
Have a good day!

BokaBV

Re: The Spirallers Question

Posted: May 25th, 2020, 7:20 am
by Hunting
Here's one. You could've ask that question in Thread for basic questions.

Re: The Spirallers Question

Posted: May 25th, 2020, 1:28 pm
by BokaBB
Hunting wrote:
May 25th, 2020, 7:20 am
Here's one. You could've ask that question in Thread for basic questions.
I am not sure is it that....
Have a good day!

BokaBB

Re: The Spirallers Question

Posted: May 26th, 2020, 8:09 am
by Hunting
BokaBB wrote:
May 25th, 2020, 1:28 pm
Hunting wrote:
May 25th, 2020, 7:20 am
Here's one. You could've ask that question in Thread for basic questions.
I am not sure is it that....
Have a good day!

BokaBB
It's a perfectly valid spiral-growth pattern, and thus fits your definition.

Don't think you are smarter than other Lifenthusiasts - you are not. Making actual discoveries takes lots of hard work, including learning what's already done.

And not every random ideas deserve their own threads. Example of random ideas includes this thread and the usage thread. Patterns is a CGoL only and serious stuff only forum. There are already dedicated threads for questions like this, e. g. Thread for basic questions, and just like the "BokaBB's haul requests thread" it makes no sense.

Plus - "The pattern is not supposed to leave debris behind" - doesn't that violates your definition of type 2?

(Do not turn this into a private argument. This is not because I hate you, or et cetera. This is because you did many abnormal things quite recently, in the Patterns forum.)

Re: The Spirallers Question

Posted: May 26th, 2020, 3:28 pm
by BokaBB
Hunting wrote:
May 26th, 2020, 8:09 am
BokaBB wrote:
May 25th, 2020, 1:28 pm
Hunting wrote:
May 25th, 2020, 7:20 am
Here's one. You could've ask that question in Thread for basic questions.
I am not sure is it that....
Have a good day!

BokaBB
It's a perfectly valid spiral-growth pattern, and thus fits your definition.

Don't think you are smarter than other Lifenthusiasts - you are not. Making actual discoveries takes lots of hard work, including learning what's already done.

And not every random ideas deserve their own threads. Example of random ideas includes this thread and the usage thread. Patterns is a CGoL only and serious stuff only forum. There are already dedicated threads for questions like this, e. g. Thread for basic questions, and just like the "BokaBB's haul requests thread" it makes no sense.

Plus - "The pattern is not supposed to leave debris behind" - doesn't that violates your definition of type 2?

(Do not turn this into a private argument. This is not because I hate you, or et cetera. This is because you did many abnormal things quite recently, in the Patterns forum.)
There are 3 types,not 3 rules. Type 2 is the only one that is allowed to grow.
Have a good day!

BokaBB

Re: The Spirallers Question

Posted: May 27th, 2020, 7:15 am
by Hunting
BokaBB wrote:
May 26th, 2020, 3:28 pm
Hunting wrote:
May 26th, 2020, 8:09 am
BokaBB wrote:
May 25th, 2020, 1:28 pm

I am not sure is it that....
Have a good day!

BokaBB
It's a perfectly valid spiral-growth pattern, and thus fits your definition.

Don't think you are smarter than other Lifenthusiasts - you are not. Making actual discoveries takes lots of hard work, including learning what's already done.

And not every random ideas deserve their own threads. Example of random ideas includes this thread and the usage thread. Patterns is a CGoL only and serious stuff only forum. There are already dedicated threads for questions like this, e. g. Thread for basic questions, and just like the "BokaBB's haul requests thread" it makes no sense.

Plus - "The pattern is not supposed to leave debris behind" - doesn't that violates your definition of type 2?

(Do not turn this into a private argument. This is not because I hate you, or et cetera. This is because you did many abnormal things quite recently, in the Patterns forum.)
There are 3 types,not 3 rules. Type 2 is the only one that is allowed to grow.
Have a good day!

BokaBB
3 rules? Where did I mention that?

Re: The Spirallers Question

Posted: May 27th, 2020, 8:09 am
by BokaBB
No,but I misunderstood you. Please sorry. Only type 2 is allowed to grow.
Have a good day!

BokaBB

Re: The Spirallers Question

Posted: May 27th, 2020, 9:03 am
by dvgrn
The type-2 and type-3 spirallers are an interesting idea. They're certainly possible, and they're different from any of the self-constructing spiral patterns that have been constructed so far. The point of previous patterns was to achieve linear population growth but logarithmic bounding-box growth, but a spiraller would be some kind of logarithmic growth in population but maybe no population growth at all. They shouldn't be too terribly difficult to make with the help of slsparse.

The type-3 "supported spiraller" is the easiest. BokaBB's most recent message says that only type 2 would be allowed to grow, but the pattern wouldn't really be very interesting if it didn't grow -- i.e., spiral outward, instead of just being a pointlessly complicated oscillator.

Here's a sample blueprint for Type 2:

Code: Select all

x = 1345, y = 1445, rule = LifeHistory
810.2A$803.2A4.A.A$802.B2AB3.A$803.2B3.2A$802.3B.BA$801.6B3A$801.7B2.
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2.6B5.A$793.4B4.6B$792.4B4.6B$791.4B6.6B$790.4B6.6B$789.4B8.6B$673.A
114.4B8.6B$671.3A11.A101.4B10.6B$670.A14.3A98.4B10.6B$669.B2AB15.A14.
A81.4B12.6B$668.4B15.2A12.3A80.4B12.6B$647.A19.4B4.B.7B3.3B.2B7.A82.
4B14.6B$647.3A16.4B.13B5.5B6.2A80.4B14.6B$650.A8.36B2.5B79.4B16.6B$
640.2A7.2A7.42B80.4B16.6B$641.A7.5B.B2.41B2A78.4B18.6B$641.A.AB6.6B.
22B2A17B2A77.4B18.6B$642.2AB5.30B2A16B.B77.4B20.6B$644.24B2.2B3.23B
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642.20B19.3B4.7B78.4B24.6B$641.21B21.B3.11B74.4B24.6B$641.13B2.8B19.
2A2.12B72.4B26.6B$638.AB.12B5.B3.2A20.A2.12B71.4B26.6B$637.A.A15B7.A
18.3A4.11B70.4B28.6B$638.A2B.B.6B3.2A8.3A15.A4.4B.8B69.4B28.6B$639.B
4.7B2.A11.A20.2A4.7B68.4B30.6B$643.7B4.3A30.A4.7B67.4B30.6B$643.7B6.A
27.3A6.6B66.4B32.6B$642.8B34.A8.7B64.4B32.6B$640.2AB.7B42.8B62.4B34.
6B$639.A.AB.6B44.8B60.4B34.6B$639.A4.6B44.9B58.4B36.6B$638.2A4.7B42.
6B.3B57.4B36.6B$644.8B2.2A37.7B2.B2A54.4B38.6B$642.12BA.A37.6B2.BA.A
52.4B38.6B$642.11B3.A37.6B5.A51.4B40.6B$642.5B2A4B3.2A36.6B5.2A49.4B
40.6B$642.5B2A3B41.8B54.4B42.6B$642.10B40.8B54.4B42.6B$642.9B41.9B52.
4B44.6B$642.9B41.9B51.4B44.6B$643.8B40.10B50.4B46.6B$642.8B41.3B2A5B
49.4B46.6B$643.6B36.2A3.4B2A5B48.4B48.6B$643.6B37.A3.11B47.4B48.6B$
643.6B37.A.A12B46.4B50.6B$643.7B37.2A2.8B47.4B50.6B$644.6B42.7B46.4B
52.6B$643.6B44.6B45.4B52.6B$644.5B44.6B2.2A40.4B54.6B$644.6B42.9BA.A
38.4B54.6B$644.6B41.9B3.A37.4B56.6B$644.7B40.9B3.2A35.4B56.6B$635.A8.
7B40.9B39.4B58.6B$635.3A5.8B40.9B38.4B58.6B$638.A4.8B39.11B36.4B60.6B
$637.2A3.8B40.11B24.A10.4B60.6B$637.4B2.2B2A3B39.12B24.3A7.4B62.6B$
639.3B.2B2A5B36.14B4.B21.A5.4B62.6B$639.13B35.4B.10B3.3B19.2A4.4B64.
6B$637.16B33.16B2.6B17.9B6.2A56.6B$637.17B32.16B.7B2.4B13.6B7.A58.6B$
637.16B31.2AB2.29B2.2B2.B3.6B5.2A.A57.6B$637.15B7.A23.A.AB2.45B4.A2.A
59.6B$638.13B8.3A13.2A6.A5.46B3.B2A59.6B$630.A8.11B12.A3.2A6.B2AB4.2A
4.21B2A13B2A14B61.6B$630.3A6.15B7.2A2.B2AB5.3B11.21B2A13B2A13B61.6B$
633.A3.20B4.B3.3B7.B11.51B63.6B$632.2A3.25B4.B.2B3.5B10.26B5.B.17B62.
6B$632.43BA4B9.20B2.B10.15B64.6B$634.40BABA4B5.B.B.20B12.15B63.6B$
632.42BABA4B4.2A24B12.13B65.6B$631.44BA4B5.2A24B10.13B66.6B$631.47B8.
2B.12B2.5B2.B2A6.A.2A4.8B66.6B$631.45B12.13B3.4B2.BA.A3.3AB2A6.6B65.
6B$629.2AB.29B.13B10.B.11B14.A2.A4.B8.5B66.6B$628.A.AB.19B.8B2.12B10.
2A12B14.2A2.3A.2A9.B.B65.6B$628.A5.23B6.13B9.2AB.10B20.A.A9.3B67.6B$
627.2A5.7B.13B8.12B11.B4.6B.B2A18.A.A9.B2AB65.6B$635.3B.3B.4B3.4B10.
10B19.4B.BA.A18.A11.2A67.6B$634.2B2.3B3.B4.4B13.8B17.5B5.A98.6B$633.B
2AB.B2AB6.4B17.5B17.2A8.2A98.6B$634.2A3.2A6.4B18.6B17.A107.6B$646.4B
18.7B14.3A109.6B$645.4B20.5B15.A110.6B$644.4B21.5B127.6B$643.4B22.7B
124.6B$642.4B23.8B2.2A120.6B$641.4B22.12BA.A118.6B$640.4B23.11B3.A
119.6B$639.4B24.5B2A4B3.2A117.6B$638.4B25.5B2A3B124.6B$637.4B26.10B
123.6B$622.A13.4B27.9B125.6B$622.3A10.4B28.9B124.6B$625.A8.4B30.8B
125.6B$624.2A7.4B30.8B125.6B$624.5B3.4B32.6B127.6B$626.3B2.4B27.2A4.
6B126.6B$616.2A7.9B29.A4.6B127.6B$616.A8.8B30.A.AB.7B125.6B$613.2A.A.
B3.10B32.2AB2.6B126.6B$613.A2.3AB.2B2A7B34.8B126.6B$614.2A2.BA3B2A7B
34.8B127.6B$616.4A12B35.8B125.6B$616.A.2B3.7B.B2A34.7B126.6B$617.3AB
2.7B.BA.A6.B27.6B125.6B$620.A4.4B5.A5.2B2A25.7B125.6B$615.5A5.4B5.2A
3.2BABAB24.7B124.6B$615.A10.4B9.3BA2B.4B19.8B.2B121.6B$617.A9.4B8.12B
2.4B12.13B118.6B$616.2A10.4B8.11B.5B12.13B119.6B$629.4B7.18B11.14B
117.6B$630.4B7.17B12.12B119.6B$631.4B4.19B15.10B117.6B$632.4B2.20B2.B
11.11B.B$633.30B5.B.14B2A$634.6BA43B2A$634.5BABA16B2A25B$634.5BABA16B
2A25B$634.6BA40B$632.2AB.2B.40B2A$631.A.AB5.27B2.2B2.6B2AB.B$631.A9.
8B3.7B2.4B10.8B2A$630.2A10.7B4.6B18.4B.B2A$642.6B6.3B21.2B3.B$643.6B
6.B21.2B$642.6B28.B2AB$643.6B28.2A$642.6B$643.6B35$801.6B$800.6B$801.
6B$800.6B$801.6B$713.23B64.6B$713.3B85.6B$713.4B83.6B$713.5B83.6B$
713.B.4B81.6B$713.B2.4B81.6B$713.B3.4B79.6B$713.B4.4B79.6B$713.B5.4B
77.6B$713.B6.4B77.6B$713.B7.4B75.6B$642.6B65.B8.4B75.6B$643.6B64.B9.
4B73.6B$642.6B65.B10.4B73.6B$643.6B64.B11.4B71.6B$642.6B65.B12.4B71.
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643.6B109.4B38.6B$642.6B109.4B40.6B$643.6B107.4B40.6B$642.6B107.4B42.
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46.6B$643.6B101.4B46.6B$642.6B101.4B48.6B$643.6B99.4B48.6B$642.6B99.
4B50.6B$643.6B97.4B50.6B$642.6B97.4B52.6B$643.6B95.4B52.6B$642.6B95.
4B54.6B$643.6B93.4B54.6B$642.6B93.4B56.6B$643.6B91.4B56.6B$642.6B91.
4B58.6B$643.6B89.4B58.6B$642.6B89.4B60.6B$643.6B87.4B60.6B$642.6B87.
4B62.6B$643.6B85.4B62.6B$642.6B85.4B64.6B$643.6B83.4B64.6B$642.6B83.
4B66.6B$643.6B81.4B66.6B$642.6B81.4B68.6B$643.6B79.4B68.6B$642.6B79.
4B70.6B$643.6B77.4B70.6B$642.6B77.4B72.6B$643.6B75.4B72.6B$642.6B75.
4B74.6B$643.6B73.4B74.6B$642.6B73.4B76.6B$643.6B71.4B76.6B$642.6B71.
4B78.6B$643.6B69.4B78.6B$642.6B69.4B80.6B$643.6B67.4B80.6B$642.6B67.
4B82.6B$643.6B65.4B82.6B$642.6B65.4B84.6B$643.6B63.4B84.6B$642.6B63.
4B86.6B$643.6B61.4B86.6B$642.6B61.4B88.6B$643.6B59.4B88.6B$642.6B59.
4B90.6B$643.6B57.4B90.6B$642.6B57.4B92.6B$643.6B55.4B92.6B$642.6B55.
4B94.6B$643.6B53.4B94.6B$642.6B53.4B96.6B$643.6B51.4B96.6B$642.6B51.
4B98.6B$643.6B49.4B98.6B$642.6B49.4B100.6B$643.6B47.4B100.6B$642.6B
47.4B102.6B$643.6B45.4B102.6B$642.6B45.4B104.6B$643.6B43.4B104.6B$
642.6B43.4B106.6B$643.6B41.4B106.6B$642.6B41.4B108.6B$643.6B39.4B108.
6B$642.6B39.4B110.6B$643.6B37.4B110.6B$642.6B37.4B112.6B$643.6B35.4B
112.6B$642.6B35.4B114.6B$643.6B33.4B114.6B$642.6B33.4B116.6B$643.6B
31.4B116.6B$642.6B31.4B118.6B$643.6B29.4B118.6B$642.6B29.4B120.6B$
643.6B27.4B120.6B$642.6B27.4B122.6B$643.6B25.4B122.6B$642.6B25.4B124.
6B$643.6B23.4B124.6B$642.6B23.4B126.6B$643.6B21.4B126.6B$642.6B21.4B
128.6B$643.6B19.4B128.6B$642.6B19.4B130.6B$643.6B17.4B130.6B$642.6B
17.4B132.6B$643.6B15.4B132.6B$642.6B15.4B134.6B$643.6B13.4B134.6B$
642.6B13.4B136.6B$643.6B11.4B136.6B$642.6B11.4B138.6B$643.6B9.4B138.
6B$642.6B9.4B140.6B$643.6B7.4B140.6B$642.6B7.4B142.6B$643.6B5.4B142.
6B$642.6B5.4B144.6B$643.6B3.4B144.6B$642.6B3.4B146.6B$643.6B.4B146.6B
$642.6B.4B148.6B$643.9B148.6B$642.9B150.6B$643.7B150.6B$642.7B152.6B$
643.6B151.6B$642.6B153.6B$642.7B151.6B$641.7B153.6B$640.9B151.6B$639.
9B153.6B$638.4B.6B151.6B$637.4B.6B153.6B$636.4B3.6B151.6B$635.4B3.6B
153.6B$634.4B5.6B151.6B$633.4B5.6B153.6B$632.4B7.6B151.6B$631.4B7.6B
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153.6B$20.4B462.8B40.9BA.A42.11B44.6B151.6B$21.4B461.8B17.A23.6B2.2A
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23.4B459.7B15.A21.11B44.A6.7B43.6B153.6B$24.4B459.6B15.2A20.11B.2B40.
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276.6B2.45B52.7B.4B38.6B151.6B$31.4B162.4B8.4B275.7B.22B2A21B53.6B2.
4B36.6B153.6B$32.4B160.4B10.4B273.31B2A22B52.6B3.4B36.6B151.6B$33.4B
158.4B12.4B272.19B2.2B3.11B2.2B3.7B2A2B.2B49.6B4.4B34.6B153.6B$34.4B
156.4B14.4B270.17B11.10B8.B.3BA2BA3B2A47.8B4.4B34.6B151.6B$35.4B154.
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18.4B263.2AB.15B19.3B14.6B2.B47.9B6.4B32.6B151.6B$37.4B150.4B20.4B
262.2A18B20.B15.4B51.9B7.4B30.6B153.6B$38.4B148.4B22.4B262.B.3B2A12B
20.2A14.4B50.10B8.4B30.6B151.6B$39.4B146.4B24.4B264.2B2A11B22.A15.2B
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22.6B121.2B21.B6.6B$47.4B130.4B40.4B304.3B.3B.4B3.4B11.2A20.14B.B2A
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18.4B20.6B115.2AB.4B18.6B4.7B10.2A$49.4B126.4B44.4B295.A5.23B9.3B19.
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2B2.20B23.4B16.6B119.40BA6B$53.4B118.4B52.4B294.37B2A31B25.4B14.6B
116.25B2A16BABA5B$54.4B116.4B54.4B293.37B2A22B.7B27.4B14.6B115.25B2A
16BABA5B$55.4B114.4B56.4B293.60B2.6B28.4B12.6B115.2A43BA6B$56.4B112.
4B58.4B294.58B3.6B28.4B12.6B114.2A14B.B5.30B$57.4B110.4B60.4B291.59B
6.4B29.4B10.6B116.B.11B11.B2.20B2.4B$58.4B108.4B62.4B290.2A3.25B4.13B
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4.7B.B4.4B14.2A.B2A29.4B8.6B119.12B12.17B7.4B$60.4B104.4B66.4B286.3A
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8.11B12.A14.4B22.A30.4B6.6B119.13B12.5B.11B8.4B10.2A$62.4B100.4B70.4B
292.13B8.3A15.2A24.2A30.4B6.6B118.13B12.4B2.12B8.4B9.A$63.4B98.4B72.
4B290.15B7.A18.A57.4B4.6B121.2B.8B19.4B.2BA3B9.4B10.A$64.4B7.A88.4B
74.4B289.16B22.3A59.4B4.6B124.7B24.BABA2B3.2A5.4B5.5A$65.4B6.3A85.4B
76.4B288.17B21.A62.4B2.6B125.7B25.2A2B5.A5.4B4.A$66.4B8.A83.4B78.4B
287.16B86.4B2.6B125.6B27.B6.A.AB.7B2.B3A$67.4B6.A.A81.4B80.4B288.13B
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71.4B5.6B71.4B88.4B283.A4.8B93.6B126.6B2.B2A32.10B3.B.A.2A$72.4B4.7B
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286.7B94.6B126.6B4.2A27.4B2.3B$75.18B2A40.B17.4B96.4B277.A7.6B94.6B.B
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14.4B102.4B271.3A.2A4.6B96.10B120.9B28.4B10.3A$73.2AB.12B46.B13.4B
104.4B269.A4.B6.6B94.6B2.4B119.9B27.4B13.A$72.A.AB2.11B46.B12.4B106.
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16.4B6.3A38.2A11.A18.A.AB.4B19.10B10.4B3.4B.3B.3B$76.8B5.3A43.22B115.
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273.4B76.6B22.A.AB2.11B20.2AB3.46B5.A6.2A13.3A8.13B$26.4B6.59B192.4B
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B5.30B2A16B.B77.4B20.6B26.4B95.4B174.4B297.13B27.17B.7B2.4B10.10B2.B
3.B.9B.B2A$392.4B44.24B2.2B3.23B78.4B20.6B28.4B93.4B176.4B296.11B30.
16B2.6B19.6B9.11B$393.4B43.21B11.10B2.9B78.4B22.6B28.4B91.4B178.4B
294.13B30.4B.10B3.3B23.3B10.11B$394.4B42.19B16.6B3.8B68.2A8.4B22.6B
30.4B89.4B180.4B292.15B30.14B4.B26.B8.2AB.9B$395.4B39.20B19.3B4.7B70.
A7.4B24.6B30.4B87.4B182.4B290.16B31.12B32.2A6.A.AB2.7B$396.4B37.21B
21.B3.11B67.A.AB3.4B24.6B32.4B85.4B184.4B288.17B32.11B33.A6.A5.8B$
397.4B36.13B2.8B19.2A2.12B67.2AB2.4B26.6B32.4B83.4B186.4B288.16B32.
11B30.3A6.2A4.8B$398.4B32.AB.12B5.B3.2A20.A2.12B69.7B25.6B34.4B81.4B
188.4B288.13B35.9B31.A14.7B$399.4B30.A.A15B7.A18.3A4.11B58.A10.8B25.
6B34.4B79.4B190.4B287.5B2A2B39.9B45.11B$400.4B30.A2B.B.6B3.2A8.3A15.A
4.4B.8B58.3A7.9B24.6B36.4B77.4B192.4B288.3B2A2B39.9B3.2A41.11B$401.4B
30.B4.7B2.A11.A20.2A4.7B61.A5.10B25.6B36.4B75.4B194.4B287.8B38.9B3.A
42.11B$402.4B33.7B4.3A30.A4.7B60.2A5.12B22.6B38.4B73.4B196.4B285.8B
40.9BA.A42.11B$403.4B32.7B6.A27.3A6.6B60.5B.14B22.6B38.4B71.4B198.4B
284.8B17.A23.6B2.2A41.2AB2.8B$404.4B30.8B34.A8.7B61.18B21.6B40.4B69.
4B200.4B283.7B16.3A19.10B44.A.AB3.7B$405.4B27.2AB.7B42.8B57.22B21.6B
40.4B67.4B202.4B282.7B15.A21.11B44.A6.7B$406.4B25.A.AB.6B44.8B55.23B
20.6B42.4B21.A43.4B204.4B282.6B15.2A20.11B.2B40.2A7.6B$407.4B24.A4.6B
44.9B53.22B.B2A19.6B42.4B18.3A42.4B206.4B281.6B13.4B19.14B2A48.7B$
408.4B22.2A4.7B42.6B.3B52.23B.BA.A17.6B44.4B16.A44.4B208.4B281.5B12.
3B5.B.7B7.12B.B2A48.8B$409.4B27.8B2.2A37.7B2.B2A51.22B4.A18.6B44.4B
15.2A7.A34.4B210.4B280.6B10.4B.13B4.B2.13B.B50.8B$410.4B24.12BA.A37.
6B2.BA.A51.20B5.2A16.6B46.4B12.4B5.3A33.4B212.4B278.6B4.45B52.9B$411.
4B23.11B3.A37.6B5.A51.19B25.6B46.4B9.4B6.A24.A10.4B214.4B277.7B2.45B
52.6B.2B2A$412.4B22.5B2A4B3.2A36.6B5.2A49.21B23.6B48.4B7.8B3.2A23.3A
7.4B216.4B277.6B2.45B52.7B.BA.A$413.4B21.5B2A3B41.8B54.4B.15B.B2A22.
6B48.4B6.9B.3B4.B21.A5.4B218.4B276.7B.22B2A21B53.6B2.B.A$414.4B20.10B
40.8B54.4B5.10B3.BA.A20.6B50.4B2.14B5.3B19.2A4.4B220.4B274.31B2A22B
52.6B4.2A$415.4B19.9B41.9B52.4B6.10B6.A21.6B50.20B3.6B17.9B6.2A214.4B
273.19B2.2B3.11B2.2B3.7B2A2B.2B49.6B$416.4B18.9B41.9B51.4B5.13B5.2A
19.6B52.19B2.7B2.4B13.6B7.A216.4B271.17B11.10B8.B.3BA2BA3B2A47.8B$
417.4B18.8B40.10B50.4B5.15B26.6B52.35B2.2B2.B3.6B5.2A.A217.4B266.B3.
15B16.6B13.2B2A2B.B2A46.8B$418.4B16.8B41.3B2A5B49.4B6.16B24.6B54.50B
4.A2.A219.4B264.2AB.15B19.3B14.6B2.B47.9B$419.4B16.6B36.2A3.4B2A5B48.
4B7.17B24.6B54.22B2A26B3.B2A221.4B263.2A18B20.B15.4B51.9B$420.4B15.6B
37.A3.11B47.4B8.9B2A5B24.6B55.22B2A2D13B2A14B223.4B263.B.3B2A12B20.2A
14.4B50.10B$421.4B14.6B37.A.A12B46.4B11.7B2A4B26.6B52.26B2D13B2A13B
225.4B265.2B2A11B22.A15.2B51.3B2A5B$422.4B13.7B37.2A2.8B47.4B12.3B.2B
2D5B25.6B53.2A2.51B227.4B265.2B2.10B19.3A63.2A3.4B2A5B$423.4B13.6B42.
7B46.4B11.4B2.2B2D3B28.6B53.A3.26B5.B.17B228.4B263.2B3.6B.B21.A24.A
41.A3.11B$424.4B11.6B44.6B45.4B12.2A3.8B27.6B51.3A6.19B2.B10.15B230.
4B261.B2AB2.4B50.3A39.A.A12B$425.4B11.5B44.6B2.2A40.4B14.A4.8B27.6B
50.A9.19B12.15B231.4B261.2A3.2B2AB52.A33.2A4.2A2.8B$426.4B10.6B42.9BA
.A38.4B12.3A5.8B26.6B60.21B12.13B233.4B267.2A38.2A3.2A7.2A18.A15.A9.
7B4.2A$427.4B9.6B41.9B3.A37.4B13.A8.7B27.6B59.11B2.8B10.13B236.4B305.
B2AB.B2AB6.4B14.3A15.A.AB7.6B4.A$428.4B8.7B40.9B3.2A35.4B23.7B26.6B
60.11B2.5B2.B2A6.A.2A4.8B236.4B305.2B2.3B3.B5.3B12.A19.2AB.3B3.6B.BA.
A$429.4B7.7B40.9B39.4B16.A7.6B28.6B57.2AB.9B3.4B2.BA.A3.3AB2A6.6B237.
4B305.3B.3B.4B3.4B11.2A20.14B.B2A$430.4B5.8B40.9B38.4B16.A.A6.6B27.6B
57.A.AB.8B13.A2.A4.B8.5B238.4B296.2A5.7B.13B11.B20.16B$431.4B4.8B39.
11B36.4B17.A.A6.5B29.6B56.A4.9B12.2A2.3A.2A9.B.B239.4B296.A5.23B9.3B
19.14B$432.4B2.8B40.11B24.A10.4B16.3A.2A4.6B28.6B56.2A5.9B17.A.A9.3B
241.4B295.A.AB.19B.8B4.6B16.16B$433.4B2.2B2A3B39.12B24.3A7.4B16.A4.B
6.6B28.6B63.3B2.4B16.A.A9.B2AB241.4B295.2AB.29B2.10B11.18B$434.4B.2B
2A5B36.14B4.B21.A5.4B18.3AB2AB3.7B27.6B65.B4.4B16.A11.2A243.4B296.44B
3.2B2.20B$435.13B35.4B.10B3.3B19.2A4.4B21.A.2AB.8B29.6B70.4B273.4B
295.37B2A31B$433.16B33.16B2.6B17.9B6.2A18.10B28.6B72.4B273.4B294.37B
2A22B.7B$433.17B32.16B.7B2.4B13.6B7.A19.6B2A3B28.6B72.4B273.4B294.60B
2.6B$433.16B31.2AB2.29B2.2B2.B3.6B5.2A.A19.6B2A2B5.2A21.6B74.4B273.4B
295.58B3.6B$433.15B7.A23.A.AB2.45B4.A2.A20.10B5.A23.6B74.4B273.4B292.
59B6.4B$434.13B8.3A13.2A6.A5.46B3.B2A20.11B2.BA.A22.6B76.4B273.4B291.
2A3.25B4.13B.4B12.B2A2B$426.A8.11B12.A3.2A6.B2AB4.2A4.21B2A13B2A14B
21.12B.B2A24.6B76.4B273.4B291.A3.20B4.B4.7B.B4.4B14.2A.B2A$426.3A6.
15B7.2A2.B2AB5.3B11.21B2A13B2A13B21.15B25.6B78.4B273.4B287.3A6.15B7.
2A16.3B18.BA.A$429.A3.20B4.B3.3B7.B11.51B21.16B26.6B78.4B273.4B286.A
8.11B12.A14.4B22.A$428.2AB2.25B4.B.2B3.5B10.26B5.B.17B18.2B.16B25.6B
80.4B273.4B293.13B8.3A15.2A24.2A$428.43BA4B9.20B2.B10.15B18.2A18B26.
6B80.4B273.4B291.15B7.A18.A$429.41BABA4B5.B.B.20B12.15B18.2AB.17B24.
6B82.4B7.A265.4B290.16B22.3A$428.42BABA4B4.2A24B12.13B20.B.4B.8B2.4B
24.6B82.4B6.3A264.4B289.17B21.A$426.45BA4B5.2A24B10.13B29.7B4.4B22.6B
84.4B8.A264.4B288.16B$427.47B8.2B.12B2.5B2.B2A6.A.2A4.8B29.6B5.4B22.
6B84.4B6.A.A264.4B289.13B$427.45B12.13B3.4B2.BA.A3.3AB2A6.6B31.4B6.4B
20.6B86.4B5.A.AB264.4B288.3B.2B2A5B$425.2AB.29B.13B10.B.11B14.A2.A4.B
8.5B33.3BA5.4B20.6B86.4B5.A3B264.4B285.4B2.2B2A3B$424.A.AB.19B.8B2.
12B10.2A12B14.2A2.3A.2A9.B.B34.BA.A5.4B18.6B88.4B6.4B263.4B284.2A3.8B
$424.A5.23B6.13B9.2AB.10B20.A.A9.3B36.A.A6.4B18.6B88.4B5.6B262.4B284.
A4.8B$423.2A5.7B.13B8.12B11.B4.6B.B2A18.A.A9.B2AB36.A8.4B16.6B90.4B4.
7B262.4B115.22B143.3A5.8B$431.3B.3B.4B3.4B10.10B19.4B.BA.A18.A11.2A
38.3A6.4B16.6B90.4B2.8B.4B.B256.4B132.4B143.A8.7B$430.2B2.3B3.B4.4B
13.8B17.5B5.A72.A7.4B14.6B92.17B.B2A256.4B130.5B152.7B$429.B2AB.B2AB
6.4B17.5B17.2A8.2A80.4B14.6B92.18B2A257.4B128.4B.B144.A7.6B$430.2A3.
2A6.4B18.6B17.A91.4B12.6B93.16B.2B259.4B126.4B2.B143.A.A6.6B$442.4B
18.7B14.3A93.4B12.6B92.16B263.4B124.4B3.B143.A.A6.5B$441.4B20.5B15.A
96.4B10.6B93.15B265.4B122.4B4.B141.3A.2A4.6B$440.4B21.5B113.4B10.6B
90.2AB.12B267.4B120.4B5.B140.A4.B6.6B$439.4B22.7B112.4B8.6B90.A.AB2.
11B268.4B118.4B6.B141.3AB2AB3.7B$438.4B23.8B2.2A108.4B8.6B89.A5.10B
270.4B116.4B7.B143.A.2AB.8B$437.4B22.12BA.A108.4B6.6B89.2A5.2B2A6B
271.4B114.4B8.B147.10B$436.4B23.11B3.A109.4B6.6B94.3B2A6B272.4B112.4B
9.B147.6B2A3B$435.4B24.5B2A4B3.2A109.4B4.6B96.10B273.4B110.4B10.B147.
6B2A2B5.2A$434.4B25.5B2A3B116.4B4.6B95.8B.B2A.A270.4B108.4B11.B147.
10B5.A$433.4B26.10B117.4B2.6B95.7B3.B2AB3A269.4B106.4B12.B146.11B2.BA
.A$418.A13.4B27.9B119.4B2.6B94.6B6.B4.A269.4B104.4B13.B146.12B.B2A$
418.3A10.4B28.9B120.10B96.6B4.2A.3A271.4B102.4B14.B145.15B$421.A8.4B
30.8B121.3B.6B95.5B6.A.A274.4B100.4B15.B144.16B$420.2A7.4B30.8B123.8B
95.6B6.A.A275.4B98.4B16.B141.2B.16B$420.5B3.4B32.6B125.B.6B94.6B7.A
277.4B96.4B17.B140.2A18B$422.3B2.4B27.2A4.6B126.6B94.7B286.4B94.4B18.
B140.2AB.17B$412.2A7.9B29.A4.6B127.6B93.7B8.A278.4B92.4B19.B141.B.4B.
8B2.4B$412.A8.8B30.A.AB.7B125.6B94.8B5.3A279.4B90.4B20.B148.7B4.4B$
409.2A.A.B3.10B32.2AB2.6B126.6B93.8B4.A283.4B88.4B171.6B5.4B$409.A2.
3AB.2B2A7B34.8B126.6B.B93.8B3.2A283.4B86.4B174.4B6.4B$410.2A2.BA3B2A
7B34.8B127.8B92.3B2A2B2.4B284.4B84.4B177.3BA5.4B$412.4A12B35.8B125.6B
.3B89.5B2A2B.3B287.4B82.4B179.BA.A5.4B$412.A.2B3.7B.B2A34.7B126.10B
88.13B288.4B80.4B181.A.A6.4B$413.3AB2.7B.BA.A6.B27.6B125.6B2.4B86.16B
287.4B78.4B183.A8.4B$416.A4.4B5.A5.2B2A25.7B125.6B2.4B62.A21.17B288.
4B76.4B185.3A6.4B$411.5A5.4B5.2A3.2BABAB24.7B124.6B4.4B59.3A22.16B
289.4B74.4B188.A7.4B$411.A10.4B9.3BA2B.4B19.8B.2B121.6B4.4B57.A18.A7.
15B290.4B72.4B198.4B$413.A9.4B8.12B2.4B12.13B118.6B6.4B30.2A24.2A15.
3A8.13B292.4B70.4B200.4B$412.2A10.4B8.11B.5B12.13B119.6B6.4B30.A22.4B
14.A12.11B8.A285.4B68.4B202.4B$425.4B7.18B11.14B117.6B8.4B29.A.AB18.
3B16.2A7.15B6.3A286.4B66.4B204.4B$426.4B7.17B12.12B119.6B8.4B29.2AB.
2A14.4B4.B.7B4.B4.20B3.A290.4B64.4B206.4B$427.4B4.19B15.10B117.6B10.
4B30.2B2AB12.4B.13B4.25B3.2A290.4B62.4B208.4B$428.4B2.20B2.B11.11B.B
116.6B10.4B29.4B6.59B291.4B60.4B210.4B$429.30B5.B.14B2A114.6B12.4B28.
6B3.58B294.4B58.4B212.4B$430.6BA43B2A115.6B12.4B28.6B2.60B293.4B56.4B
214.4B$430.5BABA16B2A25B115.6B14.4B27.7B.22B2A37B293.4B54.4B216.4B$
430.5BABA16B2A25B116.6B14.4B25.31B2A37B294.4B52.4B218.4B$430.6BA40B
119.6B16.4B23.20B2.2B3.44B295.4B50.4B220.4B$428.2AB.2B.40B2A120.6B16.
4B21.18B11.10B2.29B.B2A294.4B48.4B222.4B$427.A.AB5.27B2.2B2.6B2AB.B
116.6B18.4B20.16B16.6B4.8B.19B.BA.A294.4B46.4B224.4B$427.A9.8B3.7B2.
4B10.8B2A116.6B18.4B20.14B19.3B9.23B5.A295.4B44.4B226.4B$426.2A10.7B
4.6B18.4B.B2A115.6B20.4B18.16B20.B11.13B.7B5.2A295.4B42.4B228.4B$438.
6B6.3B21.2B3.B117.6B20.4B15.2AB.14B20.2A11.4B3.4B.3B.3B304.4B40.4B
230.4B$439.6B6.B21.2B121.6B22.4B13.A.AB.6B3.3B.B2A19.A12.3B5.B3.3B2.
2B304.4B38.4B232.4B$438.6B28.B2AB121.6B22.4B12.A4.6B7.BA.A15.3A14.4B
6.B2AB.B2AB304.4B36.4B234.4B$439.6B28.2A121.6B24.4B10.2A4.7B9.A15.A
18.2A7.2A3.2A38.2A266.4B34.4B236.4B$438.6B153.6B24.4B15.8B2.2A4.2A33.
A52.B2A2B3.2A260.4B32.4B238.4B$439.6B151.6B26.4B12.12BA.A39.3A50.4B2.
B2AB260.4B30.4B240.4B$438.6B153.6B26.4B11.11B3.A41.A24.A21.B.6B3.2B
262.4B28.4B242.4B$439.6B151.6B28.4B10.5B2A4B3.2A63.3A19.10B2.2B264.4B
26.4B244.4B$438.6B153.6B28.4B9.5B2A3B51.2B15.A22.11B2A2B264.4B24.4B
246.4B$439.6B151.6B30.4B8.10B50.4B14.2A20.12B2A3B.B262.4B22.4B248.4B$
438.6B153.6B30.4B7.9B51.4B15.B20.18B2A262.4B20.4B250.4B$439.6B151.6B
32.4B6.9B47.B2.6B14.3B19.15B.B2A263.4B18.4B252.4B$438.6B153.6B32.4B6.
8B46.2AB.2B2A2B13.6B16.15B3.B265.4B16.4B254.4B$439.6B151.6B34.4B4.8B
47.2A3BA2BA3B.B8.10B11.17B270.4B14.4B256.4B$438.6B153.6B34.4B4.6B49.
2B.2B2A7B3.2B2.11B3.2B2.19B272.4B12.4B258.4B$439.6B151.6B36.4B3.6B52.
22B2A31B273.4B10.4B260.4B$438.6B153.6B36.4B2.6B53.21B2A22B.7B275.4B8.
4B262.4B$439.6B151.6B38.4B.7B52.45B2.6B276.4B6.4B264.4B$438.6B153.6B
38.4B.6B52.45B2.7B276.3B2.2A2.3B266.4B$439.6B151.6B40.9B52.45B4.6B
277.2B2.2A2.2B268.4B$438.6B153.6B40.8B50.B.13B2.B4.13B.4B10.6B279.B6.
B270.4B$439.6B151.6B42.8B48.2AB.12B7.7B.B5.3B12.5B558.4B$438.6B153.6B
42.7B48.2A14B19.4B13.6B558.4B$439.6B151.6B44.6B7.2A40.2B.11B20.2A15.
6B559.4B$438.6B153.6B43.7B6.A44.11B21.A15.7B559.4B$439.6B151.6B44.7B
3.BA.A44.10B19.3A16.7B560.4B$438.6B153.6B43.8B2.B2A41.2A2.6B23.A17.8B
561.4B$439.6B151.6B44.11B42.A.A9B40.8B562.4B$438.6B153.6B43.11B42.A3.
9B38.8B564.4B$439.6B151.6B44.11B41.2A3.9B39.2B2A3B565.4B$438.6B153.6B
44.11B45.9B39.2B2A5B564.4B$439.6B151.6B48.7B14.A31.9B35.13B565.4B$
438.6B153.6B46.8B4.2A6.3A30.11B32.16B565.4B$439.6B151.6B46.8B5.A6.A
33.11B32.17B565.4B$438.6B153.6B46.7B2.BA.A6.2A32.12B31.16B567.4B$439.
6B151.6B46.9B.B2A8.B26.B4.14B30.15B569.4B$438.6B153.6B45.11B10.3B23.
3B3.10B.4B30.13B571.4B$439.6B151.6B46.11B9.6B19.6B2.16B30.11B573.4B$
438.6B153.6B43.2AB.9B.B3.B2.10B10.4B2.7B.17B27.13B574.4B$439.6B151.6B
43.A.AB2.27B3.2B2.29B.4B25.14B575.4B$438.6B153.6B42.A5.20B2A41B2.4B
24.16B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
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B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
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B.B.B.B.B.B.B.B101.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
5B$439.6B151.6B42.2A5.20B2A41B3.4B23.371B100.125B$438.6B153.6B48.41B
2A21B3.4B22.371B100.126B.B$439.6B151.6B49.41B2A21B4.4B22.370B100.127B
2A$438.6B153.6B46.67B4.4B19.372B100.127B2A$439.6B151.6B47.2A3.5B2.3B
5.13B.B5.26B6.4B17.2A371B100.125B2.B$438.6B153.6B47.A3.6B3.3B3.7B.B
13.B2.20B8.4B16.ABA16B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B101.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.3B$439.6B151.6B45.3A5.4B5.2A27.20B.B.B6.4B14.2BA9B
2A4B579.B2A$438.6B153.6B44.A10.2B4.A27.24B2A6.4B14.6B.3BA2BA2B581.A.A
$439.6B151.6B55.BA2B4.3A23.25B2A7.4B14.3B3.4B2A2B580.A.A.3A$438.6B
153.6B54.A.A7.A22.4B.5B2.12B.2B9.4B20.6B576.2A3.2A5.A$439.6B151.6B56.
A30.4B2.4B3.13B12.4B20.6B574.A.A9.2A$438.6B153.6B85.4B12.11B.B11.4B
19.6B575.A$439.6B151.6B85.4B13.12B2A11.4B10.A6.6B$438.6B153.6B83.4B
13.11B.B2A12.4B7.3A5.9B$439.6B151.6B83.4B13.2A8B4.B14.4B5.A7.4B4.2A$
438.6B153.6B81.4B13.A.AB.4B22.4B4.2A5.4B5.A$439.6B151.6B81.4B14.A5.5B
21.9B4.4B7.3A$438.6B153.6B79.4B14.2A5.B2.2A22.6B5.4B10.A$439.6B151.6B
79.4B25.A23.8B2.4B$438.6B153.6B77.4B27.3A18.15B$439.6B151.6B77.4B30.A
18.14B$438.6B153.6B75.4B50.13B$439.6B151.6B75.4B49.2AB.10B$438.6B153.
6B73.4B49.A.AB3.B2A3B$439.6B151.6B73.4B50.A6.B2A3B$438.6B153.6B71.4B
50.2A6.4B$439.6B151.6B71.4B60.3B$438.6B153.6B69.4B62.2B.BA$439.6B151.
6B69.4B62.B2ABA.A$438.6B153.6B67.4B62.BABABA.A$439.6B151.6B67.4B61.A
2.A.A.A.A.2A$438.6B153.6B65.4B62.4A.2A2.A2.A$439.6B151.6B65.4B67.A4.
2A$438.6B153.6B63.4B66.A.A$439.6B151.6B63.4B67.2A$438.6B153.6B61.4B$
439.6B151.6B61.4B$438.6B153.6B59.4B$439.6B151.6B59.4B$438.6B153.6B57.
4B$439.6B151.6B57.4B$438.6B153.6B55.4B$439.6B151.6B55.4B$438.6B153.6B
53.4B$439.6B151.6B53.4B$438.6B153.6B51.4B$439.6B151.6B51.4B$438.6B
153.6B49.4B$439.6B151.6B49.4B$438.6B153.6B47.4B$439.6B151.6B47.4B$
438.6B153.6B45.4B$439.6B151.6B45.4B$438.6B153.6B43.4B$439.6B151.6B43.
4B$438.6B153.6B41.4B$439.6B151.6B41.4B$438.6B153.6B39.4B$439.6B151.6B
39.4B$438.6B153.6B37.4B$439.6B151.6B37.4B$438.6B153.6B35.4B$439.6B
151.6B35.4B$438.6B153.6B33.4B$439.6B151.6B33.4B$438.6B153.6B31.4B$
439.6B151.6B31.4B$438.6B153.6B29.4B$439.6B151.6B29.4B$438.6B153.6B27.
4B$439.6B151.6B27.4B$438.6B153.6B25.4B$439.6B151.6B25.4B$438.6B153.6B
23.4B$439.6B151.6B23.4B$438.6B153.6B21.4B$439.6B151.6B21.4B$438.6B
153.6B19.4B$439.6B151.6B19.4B$438.6B153.6B17.4B$439.6B151.6B17.4B$
438.6B153.6B15.4B$439.6B151.6B15.4B$438.6B153.6B13.4B$439.6B151.6B13.
4B$438.6B153.6B11.4B$439.6B151.6B11.4B$438.6B153.6B9.4B$439.6B151.6B
9.4B$438.6B153.6B7.4B$439.6B151.6B7.4B$438.6B153.6B5.4B$439.6B151.6B
5.4B$438.6B153.6B3.4B$439.6B151.6B3.4B$438.6B153.6B.4B$439.6B151.6B.
4B$438.6B153.9B$439.6B151.9B$438.6B153.7B$439.6B151.7B$438.6B153.6B$
439.6B151.6B$438.6B152.7B$439.6B150.7B$438.6B150.9B$439.6B148.9B$438.
6B148.4B.6B$439.6B146.4B.6B$438.6B146.4B3.6B$439.6B144.4B3.6B$438.6B
144.4B5.6B$439.6B142.4B5.6B$438.6B142.4B7.6B$439.6B140.4B7.6B$438.6B
140.4B9.6B$439.6B138.4B9.6B$438.6B138.4B11.6B$439.6B136.4B11.6B$438.
6B136.4B13.6B$439.6B134.4B13.6B$438.6B134.4B15.6B$439.6B132.4B15.6B$
438.6B132.4B17.6B$439.6B130.4B17.6B$438.6B130.4B19.6B$439.6B128.4B19.
6B$438.6B128.4B21.6B$439.6B126.4B21.6B$438.6B126.4B23.6B$439.6B124.4B
23.6B$438.6B124.4B25.6B$439.6B122.4B25.6B$438.6B122.4B27.6B$439.6B
120.4B27.6B$438.6B120.4B29.6B$439.6B118.4B29.6B$438.6B118.4B31.6B$
439.6B116.4B31.6B$438.6B116.4B33.6B$439.6B114.4B33.6B$438.6B114.4B35.
6B$439.6B112.4B35.6B$438.6B112.4B37.6B$439.6B110.4B37.6B$438.6B110.4B
39.6B$439.6B108.4B39.6B$438.6B108.4B41.6B$439.6B106.4B41.6B$438.6B
106.4B43.6B$439.6B104.4B43.6B$438.6B104.4B45.6B$439.6B102.4B45.6B$
438.6B102.4B47.6B$439.6B100.4B47.6B$438.6B100.4B49.6B$439.6B98.4B49.
6B$438.6B98.4B51.6B$439.6B96.4B51.6B$438.6B96.4B53.6B$439.6B94.4B53.
6B$438.6B94.4B55.6B$439.6B92.4B55.6B$438.6B92.4B57.6B$439.6B90.4B57.
6B$438.6B90.4B59.6B$439.6B88.4B59.6B$438.6B88.4B61.6B$439.6B86.4B61.
6B$438.6B86.4B63.6B$439.6B84.4B63.6B$438.6B84.4B65.6B$439.6B82.4B65.
6B$438.6B82.4B67.6B$439.6B80.4B67.6B$438.6B80.4B69.6B$439.6B78.4B69.
6B$438.6B78.4B71.6B$439.6B76.4B71.6B$438.6B76.4B73.6B$439.6B74.4B73.
6B$438.6B74.4B75.6B$439.6B72.4B75.6B$438.6B72.4B77.6B$439.6B70.4B77.
6B$438.6B70.4B79.6B$439.6B68.4B79.6B$438.6B68.4B81.6B$439.6B66.4B81.
6B$438.6B66.4B83.6B$439.6B64.4B83.6B$438.6B64.4B85.6B$439.6B62.4B85.
6B$438.6B62.4B87.6B$439.6B60.4B87.6B$438.6B60.4B89.6B$439.6B58.4B89.
6B$438.6B58.4B91.6B$439.6B56.4B91.6B$438.6B56.4B93.6B$439.6B54.4B93.
6B$438.6B54.4B95.6B$439.6B52.4B95.6B$438.6B52.4B97.6B$439.6B50.4B97.
6B$438.6B50.4B99.6B$439.6B48.4B99.6B$438.6B48.4B101.6B$439.6B46.4B
101.6B$438.6B46.4B103.6B$439.6B44.4B103.6B$438.6B44.4B105.6B$439.6B
42.4B105.6B$438.6B42.4B107.6B$439.6B40.4B107.6B$438.6B40.4B109.6B$
439.6B38.4B109.6B$438.6B38.4B111.6B$439.6B36.4B111.6B$438.6B36.4B113.
6B$439.6B34.4B113.6B$438.6B34.4B115.6B$439.6B32.4B115.6B$438.6B32.4B
117.6B$439.6B30.4B117.6B$438.6B30.4B119.6B$439.6B28.4B119.6B$438.6B
28.4B121.6B$439.6B26.4B121.6B$438.6B26.4B123.6B$439.6B24.4B123.6B$
438.6B24.4B125.6B$439.6B22.4B125.6B$438.6B22.4B127.6B$439.6B20.4B127.
6B$438.6B20.4B129.6B$439.6B151.6B$438.6B153.6B$439.6B20.2A129.6B$438.
6B21.2A130.6B$439.6B151.6B$438.6B153.6B$439.6B19.4B128.6B$438.6B21.4B
128.6B$439.6B21.4B126.6B$438.6B23.4B126.6B$439.6B23.4B124.6B$438.6B
25.4B124.6B$439.6B25.4B122.6B$438.6B27.4B122.6B$439.6B27.4B120.6B$
438.6B29.4B120.6B$439.6B29.4B118.6B$438.6B31.4B118.6B$439.6B31.4B116.
6B$438.6B33.4B116.6B$439.6B33.4B114.6B$438.6B35.4B114.6B$439.6B35.4B
112.6B$438.6B37.4B112.6B$439.6B37.4B110.6B$438.6B39.4B110.6B$439.6B
39.4B108.6B$438.6B41.4B108.6B$439.6B41.4B106.6B$438.6B43.4B106.6B$
439.6B43.4B104.6B$438.6B45.4B104.6B$439.6B45.4B102.6B$438.6B47.4B102.
6B$439.6B47.4B100.6B$438.6B49.4B100.6B$439.6B49.4B98.6B$438.6B51.4B
98.6B$439.6B51.4B96.6B$438.6B53.4B96.6B$439.6B53.4B94.6B$438.6B55.4B
94.6B$439.6B55.4B92.6B$438.6B57.4B$439.6B57.4B$438.6B59.4B$439.6B59.
4B$438.6B61.4B$439.6B61.4B$438.6B63.4B$439.6B63.4B$438.6B65.4B18.B$
439.6B65.4B17.B$438.6B67.4B16.B$439.6B67.4B15.B$438.6B69.4B14.B$439.
6B69.4B13.B$438.6B71.4B12.B$439.6B71.4B11.B$438.6B73.4B10.B$439.6B73.
4B9.B$438.6B75.4B8.B$439.6B75.4B7.B$438.6B77.4B6.B$439.6B77.4B5.B$
438.6B79.4B4.B$439.6B79.4B3.B$438.6B81.4B2.B$439.6B81.4B.B$438.6B83.
5B$439.6B83.4B$438.6B85.3B$439.6B64.23B$438.6B$439.6B$438.6B$439.6B
117$597.6B$596.6B$597.6B$596.6B$597.6B$596.6B$597.6B$596.6B$597.6B$
596.6B$597.6B$596.6B$597.6B$596.6B$597.6B$596.6B$597.6B$596.6B$597.6B
$596.6B$597.6B$566.2A28.6B$565.B2AB28.6B$566.2B21.B6.6B$561.B3.2B21.
3B6.6B$560.2AB.4B18.6B4.7B10.2A$560.2A8B10.4B2.7B3.8B9.A$561.B.B2A6B
2.2B2.27B5.BA.A$564.2A40B.2B.B2A$564.40BA6B$560.25B2A16BABA5B$560.25B
2A16BABA5B$559.2A43BA6B$559.2A14B.B5.30B$438.6B116.B.11B11.B2.20B2.4B
$439.6B117.10B15.19B4.4B$438.6B119.12B12.17B7.4B$439.6B117.14B11.18B
7.4B$438.6B119.13B12.5B.11B8.4B10.2A$439.6B118.13B12.4B2.12B8.4B9.A$
438.6B121.2B.8B19.4B.2BA3B9.4B10.A$439.6B124.7B24.BABA2B3.2A5.4B5.5A$
438.6B125.7B25.2A2B5.A5.4B4.A$439.6B125.6B27.B6.A.AB.7B2.B3A$438.6B
126.7B34.2AB.7B3.2B.A$439.6B125.8B35.12B4A$438.6B127.8B34.7B2A3BAB2.
2A$439.6B126.8B34.7B2A2B.B3A2.A$438.6B126.6B2.B2A32.10B3.B.A.2A$439.
6B125.7B.BA.A30.8B8.A$438.6B127.6B4.A29.9B7.2A$439.6B126.6B4.2A27.4B
2.3B$438.6B127.6B32.4B3.5B$439.6B125.8B30.4B7.2A$438.6B125.8B30.4B8.A
$439.6B124.9B28.4B10.3A$438.6B125.9B27.4B13.A$439.6B123.10B26.4B$438.
6B124.3B2A5B25.4B$439.6B117.2A3.4B2A5B24.4B$438.6B119.A3.11B23.4B$
439.6B118.A.A12B22.4B$438.6B120.2A2.8B23.4B$439.6B124.7B22.4B$438.6B
127.5B21.4B$439.6B110.A15.5B20.4B$438.6B109.3A14.7B18.4B$439.6B107.A
17.6B18.4B6.2A3.2A$438.6B98.2A8.2A17.5B17.4B6.B2AB.B2AB$439.6B98.A5.
5B17.8B13.4B4.B3.3B2.2B$438.6B67.2A11.A18.A.AB.4B19.10B10.4B3.4B.3B.
3B$439.6B65.B2AB9.A.A18.2AB.6B4.B11.12B8.13B.7B5.2A$438.6B67.3B9.A.A
20.10B.B2A9.13B6.23B5.A$439.6B65.B.B9.2A.3A2.2A14.12B2A10.12B2.8B.19B
.BA.A$438.6B66.5B8.B4.A2.A14.11B.B10.13B.29B.B2A$439.6B65.6B6.2AB3A3.
A.AB2.4B3.13B12.45B$438.6B66.8B4.2A.A6.2AB2.5B2.12B.2B8.47B$439.6B66.
13B10.24B2A5.4BA44B$438.6B65.13B12.24B2A4.4BABA42B$439.6B63.15B12.20B
.B.B5.4BABA40B$438.6B64.15B10.B2.20B9.4BA43B$439.6B62.17B.B5.26B10.5B
3.2B.B4.25B3.2A$438.6B63.51B11.B7.3B3.B4.20B3.A$439.6B61.13B2A13B2A
21B11.3B5.B2AB2.2A7.15B6.3A$438.6B61.14B2A13B2A21B4.2A4.B2AB6.2A3.A
12.11B8.A$439.6B59.2AB3.46B5.A6.2A13.3A8.13B$438.6B59.A2.A4.45B2.BA.A
23.A7.15B$439.6B57.A.2A5.6B3.B2.2B2.29B2.B2A31.16B$438.6B58.A7.6B13.
4B2.7B.16B32.17B$439.6B56.2A6.9B17.6B2.16B33.16B$438.6B64.4B4.2A19.3B
3.10B.4B35.13B$439.6B62.4B5.A21.B4.14B36.5B2A2B.3B$438.6B62.4B7.3A24.
12B39.3B2A2B2.4B$439.6B60.4B10.A24.11B40.8B3.2A$438.6B60.4B36.11B39.
8B4.A$439.6B58.4B38.9B40.8B5.3A$438.6B58.4B39.9B40.7B8.A$439.6B56.4B
35.2A3.9B40.7B$438.6B56.4B37.A3.9B41.6B$439.6B54.4B38.A.A9B42.6B$438.
6B54.4B40.2A2.6B44.5B$439.6B52.4B45.6B44.6B$438.6B52.4B46.7B42.6B$
439.6B50.4B47.8B2.2A37.7B$438.6B50.4B46.12BA.A37.6B$439.6B48.4B47.11B
3.A37.6B$438.6B48.4B48.5B2A4B3.2A36.6B$439.6B46.4B49.5B2A3B41.8B$438.
6B46.4B50.10B40.8B$439.6B44.4B51.9B41.9B$438.6B44.4B52.9B41.9B$439.6B
42.4B54.8B40.10B$438.6B42.4B54.8B41.3B2A5B$439.6B40.4B49.2A5.6B36.2A
3.4B2A5B$438.6B40.4B51.A5.6B37.A3.11B$439.6B38.4B52.A.AB2.6B37.A.A12B
$438.6B38.4B54.2AB2.7B37.2A2.8B$439.6B36.4B57.3B.6B42.7B4.2A$438.6B
36.4B58.9B44.6B4.A$439.6B34.4B60.8B44.6B.BA.A$438.6B34.4B62.8B42.7B.B
2A$439.6B32.4B64.7B8.A34.8B$438.6B32.4B66.6B6.3A27.A6.7B$439.6B30.4B
67.7B4.A30.3A4.7B$438.6B30.4B68.7B4.2A20.A11.A2.7B4.B$439.6B28.4B69.
8B.4B4.A15.3A8.2A3.6B.B.2BA$438.6B28.4B70.11B4.3A18.A7.15BA.A$439.6B
26.4B71.12B2.A20.2A3.B5.12B.BA$438.6B26.4B72.12B2.2A19.8B2.13B$439.6B
24.4B74.11B3.B21.21B$438.6B24.4B78.7B4.3B19.20B$439.6B22.4B78.8B3.6B
16.19B$438.6B22.4B78.9B2.10B11.21B$439.6B20.4B78.23B3.2B2.24B$438.6B
20.4B77.B.16B2A30B5.B2A$439.6B18.4B77.2A17B2A22B.6B6.BA.A$438.6B18.4B
78.2A41B2.B.5B7.A$439.6B16.4B80.42B7.2A7.2A$438.6B16.4B79.5B2.36B8.A$
439.6B14.4B80.2A6.5B5.13B.4B16.3A$438.6B14.4B82.A7.2B.3B3.7B.B4.4B19.
A$439.6B12.4B80.3A12.2A15.4B$438.6B12.4B81.A14.A15.B2AB$439.6B10.4B
98.3A14.A$438.6B10.4B101.A11.3A$439.6B8.4B114.A$438.6B8.4B$439.6B6.4B
$438.6B6.4B$439.6B4.4B$438.6B4.4B$433.A5.6B2.4B$432.A.A3.6B2.4B$433.
2A4.10B$438.10B$439.8B$438.8B$434.2A3.6B$434.A2.7B$435.3A6B$437.AB.3B
$435.2A3.2B$435.A3.B2AB$433.A.A4.2A$433.2A!
The "support" is just some junk in three locations, at 90, 180, and 270 degrees from the current loop position -- could be just a couple of blocks, or could be the full leftover far-end reflector circuitry from the last round of spiraling. The recipe in the loops (represented by three signals here, but really the loop would be much longer) would tear down and rebuild the far-end reflector circuitry, a little farther away from the center each time. So the spiraller would get gradually bigger and slower.

The switching system that empties the old memory loop and sends the recipe to the next larger memory loop is not shown here. There are lots of other options, including diagonal memory loops which wouldn't need all the complicated MWSS-making circuitry.

Don't Give Up On Type 1
It's not at all clear that a Type 1 spiraller is impossible. There would be some tricky timing issues to sort out, to get target objects out to the right place(s) to build the far-end reflector. But it's probably doable somehow.

Just for example, if there's a way to synchronize the production of an LWSS at one end of a spiraler's memory loop, and a glider at the other end, then that could build a faraway elbow and solve half the problem. Building a "hand" target block is probably just some more synchronized *WSSes and gliders, using the constructed elbow.

The big problem is working things out so that when the recipe gets longer, the starting points of the colliding *WSSes and gliders are dependent on the current length of the spiraller, but the synchronization still works. It might take somebody cleverer than me to sort out the details.

Re: The Spirallers Question

Posted: May 27th, 2020, 10:28 am
by BokaBB
dvgrn wrote:
May 27th, 2020, 9:03 am
The type-2 and type-3 spirallers are an interesting idea. They're certainly possible, and they're different from any of the self-constructing spiral patterns that have been constructed so far. The point of previous patterns was to achieve linear population growth but logarithmic bounding-box growth, but a spiraller would be some kind of logarithmic growth in population but maybe no population growth at all. They shouldn't be too terribly difficult to make with the help of slsparse.

The type-3 "supported spiraller" is the easiest. BokaBB's most recent message says that only type 2 would be allowed to grow, but the pattern wouldn't really be very interesting if it didn't grow -- i.e., spiral outward, instead of just being a pointlessly complicated oscillator.

Here's a sample blueprint for Type 2:

Code: Select all

x = 1345, y = 1445, rule = LifeHistory
810.2A$803.2A4.A.A$802.B2AB3.A$803.2B3.2A$802.3B.BA$801.6B3A$801.7B2.
A$800.6B3.2A$799.8B$798.8B$797.10B$796.10B4.2A$795.4B2.6B3.A.A$794.4B
2.6B5.A$793.4B4.6B$792.4B4.6B$791.4B6.6B$790.4B6.6B$789.4B8.6B$673.A
114.4B8.6B$671.3A11.A101.4B10.6B$670.A14.3A98.4B10.6B$669.B2AB15.A14.
A81.4B12.6B$668.4B15.2A12.3A80.4B12.6B$647.A19.4B4.B.7B3.3B.2B7.A82.
4B14.6B$647.3A16.4B.13B5.5B6.2A80.4B14.6B$650.A8.36B2.5B79.4B16.6B$
640.2A7.2A7.42B80.4B16.6B$641.A7.5B.B2.41B2A78.4B18.6B$641.A.AB6.6B.
22B2A17B2A77.4B18.6B$642.2AB5.30B2A16B.B77.4B20.6B$644.24B2.2B3.23B
78.4B20.6B$644.21B11.10B2.9B78.4B22.6B$644.19B16.6B3.8B78.4B22.6B$
642.20B19.3B4.7B78.4B24.6B$641.21B21.B3.11B74.4B24.6B$641.13B2.8B19.
2A2.12B72.4B26.6B$638.AB.12B5.B3.2A20.A2.12B71.4B26.6B$637.A.A15B7.A
18.3A4.11B70.4B28.6B$638.A2B.B.6B3.2A8.3A15.A4.4B.8B69.4B28.6B$639.B
4.7B2.A11.A20.2A4.7B68.4B30.6B$643.7B4.3A30.A4.7B67.4B30.6B$643.7B6.A
27.3A6.6B66.4B32.6B$642.8B34.A8.7B64.4B32.6B$640.2AB.7B42.8B62.4B34.
6B$639.A.AB.6B44.8B60.4B34.6B$639.A4.6B44.9B58.4B36.6B$638.2A4.7B42.
6B.3B57.4B36.6B$644.8B2.2A37.7B2.B2A54.4B38.6B$642.12BA.A37.6B2.BA.A
52.4B38.6B$642.11B3.A37.6B5.A51.4B40.6B$642.5B2A4B3.2A36.6B5.2A49.4B
40.6B$642.5B2A3B41.8B54.4B42.6B$642.10B40.8B54.4B42.6B$642.9B41.9B52.
4B44.6B$642.9B41.9B51.4B44.6B$643.8B40.10B50.4B46.6B$642.8B41.3B2A5B
49.4B46.6B$643.6B36.2A3.4B2A5B48.4B48.6B$643.6B37.A3.11B47.4B48.6B$
643.6B37.A.A12B46.4B50.6B$643.7B37.2A2.8B47.4B50.6B$644.6B42.7B46.4B
52.6B$643.6B44.6B45.4B52.6B$644.5B44.6B2.2A40.4B54.6B$644.6B42.9BA.A
38.4B54.6B$644.6B41.9B3.A37.4B56.6B$644.7B40.9B3.2A35.4B56.6B$635.A8.
7B40.9B39.4B58.6B$635.3A5.8B40.9B38.4B58.6B$638.A4.8B39.11B36.4B60.6B
$637.2A3.8B40.11B24.A10.4B60.6B$637.4B2.2B2A3B39.12B24.3A7.4B62.6B$
639.3B.2B2A5B36.14B4.B21.A5.4B62.6B$639.13B35.4B.10B3.3B19.2A4.4B64.
6B$637.16B33.16B2.6B17.9B6.2A56.6B$637.17B32.16B.7B2.4B13.6B7.A58.6B$
637.16B31.2AB2.29B2.2B2.B3.6B5.2A.A57.6B$637.15B7.A23.A.AB2.45B4.A2.A
59.6B$638.13B8.3A13.2A6.A5.46B3.B2A59.6B$630.A8.11B12.A3.2A6.B2AB4.2A
4.21B2A13B2A14B61.6B$630.3A6.15B7.2A2.B2AB5.3B11.21B2A13B2A13B61.6B$
633.A3.20B4.B3.3B7.B11.51B63.6B$632.2A3.25B4.B.2B3.5B10.26B5.B.17B62.
6B$632.43BA4B9.20B2.B10.15B64.6B$634.40BABA4B5.B.B.20B12.15B63.6B$
632.42BABA4B4.2A24B12.13B65.6B$631.44BA4B5.2A24B10.13B66.6B$631.47B8.
2B.12B2.5B2.B2A6.A.2A4.8B66.6B$631.45B12.13B3.4B2.BA.A3.3AB2A6.6B65.
6B$629.2AB.29B.13B10.B.11B14.A2.A4.B8.5B66.6B$628.A.AB.19B.8B2.12B10.
2A12B14.2A2.3A.2A9.B.B65.6B$628.A5.23B6.13B9.2AB.10B20.A.A9.3B67.6B$
627.2A5.7B.13B8.12B11.B4.6B.B2A18.A.A9.B2AB65.6B$635.3B.3B.4B3.4B10.
10B19.4B.BA.A18.A11.2A67.6B$634.2B2.3B3.B4.4B13.8B17.5B5.A98.6B$633.B
2AB.B2AB6.4B17.5B17.2A8.2A98.6B$634.2A3.2A6.4B18.6B17.A107.6B$646.4B
18.7B14.3A109.6B$645.4B20.5B15.A110.6B$644.4B21.5B127.6B$643.4B22.7B
124.6B$642.4B23.8B2.2A120.6B$641.4B22.12BA.A118.6B$640.4B23.11B3.A
119.6B$639.4B24.5B2A4B3.2A117.6B$638.4B25.5B2A3B124.6B$637.4B26.10B
123.6B$622.A13.4B27.9B125.6B$622.3A10.4B28.9B124.6B$625.A8.4B30.8B
125.6B$624.2A7.4B30.8B125.6B$624.5B3.4B32.6B127.6B$626.3B2.4B27.2A4.
6B126.6B$616.2A7.9B29.A4.6B127.6B$616.A8.8B30.A.AB.7B125.6B$613.2A.A.
B3.10B32.2AB2.6B126.6B$613.A2.3AB.2B2A7B34.8B126.6B$614.2A2.BA3B2A7B
34.8B127.6B$616.4A12B35.8B125.6B$616.A.2B3.7B.B2A34.7B126.6B$617.3AB
2.7B.BA.A6.B27.6B125.6B$620.A4.4B5.A5.2B2A25.7B125.6B$615.5A5.4B5.2A
3.2BABAB24.7B124.6B$615.A10.4B9.3BA2B.4B19.8B.2B121.6B$617.A9.4B8.12B
2.4B12.13B118.6B$616.2A10.4B8.11B.5B12.13B119.6B$629.4B7.18B11.14B
117.6B$630.4B7.17B12.12B119.6B$631.4B4.19B15.10B117.6B$632.4B2.20B2.B
11.11B.B$633.30B5.B.14B2A$634.6BA43B2A$634.5BABA16B2A25B$634.5BABA16B
2A25B$634.6BA40B$632.2AB.2B.40B2A$631.A.AB5.27B2.2B2.6B2AB.B$631.A9.
8B3.7B2.4B10.8B2A$630.2A10.7B4.6B18.4B.B2A$642.6B6.3B21.2B3.B$643.6B
6.B21.2B$642.6B28.B2AB$643.6B28.2A$642.6B$643.6B35$801.6B$800.6B$801.
6B$800.6B$801.6B$713.23B64.6B$713.3B85.6B$713.4B83.6B$713.5B83.6B$
713.B.4B81.6B$713.B2.4B81.6B$713.B3.4B79.6B$713.B4.4B79.6B$713.B5.4B
77.6B$713.B6.4B77.6B$713.B7.4B75.6B$642.6B65.B8.4B75.6B$643.6B64.B9.
4B73.6B$642.6B65.B10.4B73.6B$643.6B64.B11.4B71.6B$642.6B65.B12.4B71.
6B$643.6B64.B13.4B69.6B$642.6B65.B14.4B69.6B$643.6B64.B15.4B67.6B$
642.6B65.B16.4B67.6B$643.6B64.B17.4B65.6B$642.6B65.B18.4B65.6B$643.6B
84.4B63.6B$642.6B86.4B63.6B$643.6B86.4B61.6B$642.6B88.4B61.6B$643.6B
88.4B59.6B$642.6B90.4B59.6B$643.6B90.4B57.6B$642.6B92.4B57.6B$643.6B
92.4B55.6B$642.6B94.4B55.6B$643.6B94.4B53.6B$642.6B96.4B53.6B$643.6B
96.4B51.6B$642.6B98.4B51.6B$643.6B98.4B49.6B$642.6B100.4B49.6B$643.6B
100.4B47.6B$642.6B102.4B47.6B$643.6B102.4B45.6B$642.6B104.4B45.6B$
643.6B104.4B43.6B$642.6B106.4B43.6B$643.6B106.4B41.6B$642.6B108.4B41.
6B$643.6B108.4B39.6B$642.6B110.4B39.6B$643.6B110.4B37.6B$642.6B112.4B
37.6B$643.6B112.4B35.6B$642.6B114.4B35.6B$643.6B114.4B33.6B$642.6B
116.4B33.6B$643.6B116.4B31.6B$642.6B118.4B31.6B$643.6B118.4B29.6B$
642.6B120.4B29.6B$643.6B120.4B27.6B$642.6B122.4B27.6B$643.6B122.4B25.
6B$642.6B124.4B25.6B$643.6B124.4B23.6B$642.6B126.4B23.6B$643.6B126.4B
21.6B$642.6B128.4B21.6B$643.6B128.4B19.6B$642.6B153.6B$643.6B151.6B$
642.6B130.2A21.6B$643.6B129.2A20.6B$642.6B153.6B$643.6B151.6B$642.6B
129.4B20.6B$643.6B127.4B20.6B$642.6B127.4B22.6B$643.6B125.4B22.6B$
642.6B125.4B24.6B$643.6B123.4B24.6B$642.6B123.4B26.6B$643.6B121.4B26.
6B$642.6B121.4B28.6B$643.6B119.4B28.6B$642.6B119.4B30.6B$643.6B117.4B
30.6B$642.6B117.4B32.6B$643.6B115.4B32.6B$642.6B115.4B34.6B$643.6B
113.4B34.6B$642.6B113.4B36.6B$643.6B111.4B36.6B$642.6B111.4B38.6B$
643.6B109.4B38.6B$642.6B109.4B40.6B$643.6B107.4B40.6B$642.6B107.4B42.
6B$643.6B105.4B42.6B$642.6B105.4B44.6B$643.6B103.4B44.6B$642.6B103.4B
46.6B$643.6B101.4B46.6B$642.6B101.4B48.6B$643.6B99.4B48.6B$642.6B99.
4B50.6B$643.6B97.4B50.6B$642.6B97.4B52.6B$643.6B95.4B52.6B$642.6B95.
4B54.6B$643.6B93.4B54.6B$642.6B93.4B56.6B$643.6B91.4B56.6B$642.6B91.
4B58.6B$643.6B89.4B58.6B$642.6B89.4B60.6B$643.6B87.4B60.6B$642.6B87.
4B62.6B$643.6B85.4B62.6B$642.6B85.4B64.6B$643.6B83.4B64.6B$642.6B83.
4B66.6B$643.6B81.4B66.6B$642.6B81.4B68.6B$643.6B79.4B68.6B$642.6B79.
4B70.6B$643.6B77.4B70.6B$642.6B77.4B72.6B$643.6B75.4B72.6B$642.6B75.
4B74.6B$643.6B73.4B74.6B$642.6B73.4B76.6B$643.6B71.4B76.6B$642.6B71.
4B78.6B$643.6B69.4B78.6B$642.6B69.4B80.6B$643.6B67.4B80.6B$642.6B67.
4B82.6B$643.6B65.4B82.6B$642.6B65.4B84.6B$643.6B63.4B84.6B$642.6B63.
4B86.6B$643.6B61.4B86.6B$642.6B61.4B88.6B$643.6B59.4B88.6B$642.6B59.
4B90.6B$643.6B57.4B90.6B$642.6B57.4B92.6B$643.6B55.4B92.6B$642.6B55.
4B94.6B$643.6B53.4B94.6B$642.6B53.4B96.6B$643.6B51.4B96.6B$642.6B51.
4B98.6B$643.6B49.4B98.6B$642.6B49.4B100.6B$643.6B47.4B100.6B$642.6B
47.4B102.6B$643.6B45.4B102.6B$642.6B45.4B104.6B$643.6B43.4B104.6B$
642.6B43.4B106.6B$643.6B41.4B106.6B$642.6B41.4B108.6B$643.6B39.4B108.
6B$642.6B39.4B110.6B$643.6B37.4B110.6B$642.6B37.4B112.6B$643.6B35.4B
112.6B$642.6B35.4B114.6B$643.6B33.4B114.6B$642.6B33.4B116.6B$643.6B
31.4B116.6B$642.6B31.4B118.6B$643.6B29.4B118.6B$642.6B29.4B120.6B$
643.6B27.4B120.6B$642.6B27.4B122.6B$643.6B25.4B122.6B$642.6B25.4B124.
6B$643.6B23.4B124.6B$642.6B23.4B126.6B$643.6B21.4B126.6B$642.6B21.4B
128.6B$643.6B19.4B128.6B$642.6B19.4B130.6B$643.6B17.4B130.6B$642.6B
17.4B132.6B$643.6B15.4B132.6B$642.6B15.4B134.6B$643.6B13.4B134.6B$
642.6B13.4B136.6B$643.6B11.4B136.6B$642.6B11.4B138.6B$643.6B9.4B138.
6B$642.6B9.4B140.6B$643.6B7.4B140.6B$642.6B7.4B142.6B$643.6B5.4B142.
6B$642.6B5.4B144.6B$643.6B3.4B144.6B$642.6B3.4B146.6B$643.6B.4B146.6B
$642.6B.4B148.6B$643.9B148.6B$642.9B150.6B$643.7B150.6B$642.7B152.6B$
643.6B151.6B$642.6B153.6B$642.7B151.6B$641.7B153.6B$640.9B151.6B$639.
9B153.6B$638.4B.6B151.6B$637.4B.6B153.6B$636.4B3.6B151.6B$635.4B3.6B
153.6B$634.4B5.6B151.6B$633.4B5.6B153.6B$632.4B7.6B151.6B$631.4B7.6B
153.6B$630.4B9.6B151.6B$629.4B9.6B153.6B$628.4B11.6B151.6B$627.4B11.
6B153.6B$626.4B13.6B151.6B$625.4B13.6B153.6B$624.4B15.6B151.6B$623.4B
15.6B153.6B$622.4B17.6B151.6B$621.4B17.6B153.6B$620.4B19.6B151.6B$
619.4B19.6B153.6B$618.4B21.6B151.6B$617.4B21.6B153.6B$616.4B23.6B151.
6B$615.4B23.6B153.6B$614.4B25.6B151.6B$613.4B25.6B153.6B$612.4B27.6B
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292.13B8.3A15.2A24.2A30.4B6.6B118.13B12.4B2.12B8.4B9.A$63.4B98.4B72.
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287.16B86.4B2.6B125.6B27.B6.A.AB.7B2.B3A$67.4B6.A.A81.4B80.4B288.13B
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71.4B5.6B71.4B88.4B283.A4.8B93.6B126.6B2.B2A32.10B3.B.A.2A$72.4B4.7B
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294.13B30.4B.10B3.3B23.3B10.11B$394.4B42.19B16.6B3.8B68.2A8.4B22.6B
30.4B89.4B180.4B292.15B30.14B4.B26.B8.2AB.9B$395.4B39.20B19.3B4.7B70.
A7.4B24.6B30.4B87.4B182.4B290.16B31.12B32.2A6.A.AB2.7B$396.4B37.21B
21.B3.11B67.A.AB3.4B24.6B32.4B85.4B184.4B288.17B32.11B33.A6.A5.8B$
397.4B36.13B2.8B19.2A2.12B67.2AB2.4B26.6B32.4B83.4B186.4B288.16B32.
11B30.3A6.2A4.8B$398.4B32.AB.12B5.B3.2A20.A2.12B69.7B25.6B34.4B81.4B
188.4B288.13B35.9B31.A14.7B$399.4B30.A.A15B7.A18.3A4.11B58.A10.8B25.
6B34.4B79.4B190.4B287.5B2A2B39.9B45.11B$400.4B30.A2B.B.6B3.2A8.3A15.A
4.4B.8B58.3A7.9B24.6B36.4B77.4B192.4B288.3B2A2B39.9B3.2A41.11B$401.4B
30.B4.7B2.A11.A20.2A4.7B61.A5.10B25.6B36.4B75.4B194.4B287.8B38.9B3.A
42.11B$402.4B33.7B4.3A30.A4.7B60.2A5.12B22.6B38.4B73.4B196.4B285.8B
40.9BA.A42.11B$403.4B32.7B6.A27.3A6.6B60.5B.14B22.6B38.4B71.4B198.4B
284.8B17.A23.6B2.2A41.2AB2.8B$404.4B30.8B34.A8.7B61.18B21.6B40.4B69.
4B200.4B283.7B16.3A19.10B44.A.AB3.7B$405.4B27.2AB.7B42.8B57.22B21.6B
40.4B67.4B202.4B282.7B15.A21.11B44.A6.7B$406.4B25.A.AB.6B44.8B55.23B
20.6B42.4B21.A43.4B204.4B282.6B15.2A20.11B.2B40.2A7.6B$407.4B24.A4.6B
44.9B53.22B.B2A19.6B42.4B18.3A42.4B206.4B281.6B13.4B19.14B2A48.7B$
408.4B22.2A4.7B42.6B.3B52.23B.BA.A17.6B44.4B16.A44.4B208.4B281.5B12.
3B5.B.7B7.12B.B2A48.8B$409.4B27.8B2.2A37.7B2.B2A51.22B4.A18.6B44.4B
15.2A7.A34.4B210.4B280.6B10.4B.13B4.B2.13B.B50.8B$410.4B24.12BA.A37.
6B2.BA.A51.20B5.2A16.6B46.4B12.4B5.3A33.4B212.4B278.6B4.45B52.9B$411.
4B23.11B3.A37.6B5.A51.19B25.6B46.4B9.4B6.A24.A10.4B214.4B277.7B2.45B
52.6B.2B2A$412.4B22.5B2A4B3.2A36.6B5.2A49.21B23.6B48.4B7.8B3.2A23.3A
7.4B216.4B277.6B2.45B52.7B.BA.A$413.4B21.5B2A3B41.8B54.4B.15B.B2A22.
6B48.4B6.9B.3B4.B21.A5.4B218.4B276.7B.22B2A21B53.6B2.B.A$414.4B20.10B
40.8B54.4B5.10B3.BA.A20.6B50.4B2.14B5.3B19.2A4.4B220.4B274.31B2A22B
52.6B4.2A$415.4B19.9B41.9B52.4B6.10B6.A21.6B50.20B3.6B17.9B6.2A214.4B
273.19B2.2B3.11B2.2B3.7B2A2B.2B49.6B$416.4B18.9B41.9B51.4B5.13B5.2A
19.6B52.19B2.7B2.4B13.6B7.A216.4B271.17B11.10B8.B.3BA2BA3B2A47.8B$
417.4B18.8B40.10B50.4B5.15B26.6B52.35B2.2B2.B3.6B5.2A.A217.4B266.B3.
15B16.6B13.2B2A2B.B2A46.8B$418.4B16.8B41.3B2A5B49.4B6.16B24.6B54.50B
4.A2.A219.4B264.2AB.15B19.3B14.6B2.B47.9B$419.4B16.6B36.2A3.4B2A5B48.
4B7.17B24.6B54.22B2A26B3.B2A221.4B263.2A18B20.B15.4B51.9B$420.4B15.6B
37.A3.11B47.4B8.9B2A5B24.6B55.22B2A2D13B2A14B223.4B263.B.3B2A12B20.2A
14.4B50.10B$421.4B14.6B37.A.A12B46.4B11.7B2A4B26.6B52.26B2D13B2A13B
225.4B265.2B2A11B22.A15.2B51.3B2A5B$422.4B13.7B37.2A2.8B47.4B12.3B.2B
2D5B25.6B53.2A2.51B227.4B265.2B2.10B19.3A63.2A3.4B2A5B$423.4B13.6B42.
7B46.4B11.4B2.2B2D3B28.6B53.A3.26B5.B.17B228.4B263.2B3.6B.B21.A24.A
41.A3.11B$424.4B11.6B44.6B45.4B12.2A3.8B27.6B51.3A6.19B2.B10.15B230.
4B261.B2AB2.4B50.3A39.A.A12B$425.4B11.5B44.6B2.2A40.4B14.A4.8B27.6B
50.A9.19B12.15B231.4B261.2A3.2B2AB52.A33.2A4.2A2.8B$426.4B10.6B42.9BA
.A38.4B12.3A5.8B26.6B60.21B12.13B233.4B267.2A38.2A3.2A7.2A18.A15.A9.
7B4.2A$427.4B9.6B41.9B3.A37.4B13.A8.7B27.6B59.11B2.8B10.13B236.4B305.
B2AB.B2AB6.4B14.3A15.A.AB7.6B4.A$428.4B8.7B40.9B3.2A35.4B23.7B26.6B
60.11B2.5B2.B2A6.A.2A4.8B236.4B305.2B2.3B3.B5.3B12.A19.2AB.3B3.6B.BA.
A$429.4B7.7B40.9B39.4B16.A7.6B28.6B57.2AB.9B3.4B2.BA.A3.3AB2A6.6B237.
4B305.3B.3B.4B3.4B11.2A20.14B.B2A$430.4B5.8B40.9B38.4B16.A.A6.6B27.6B
57.A.AB.8B13.A2.A4.B8.5B238.4B296.2A5.7B.13B11.B20.16B$431.4B4.8B39.
11B36.4B17.A.A6.5B29.6B56.A4.9B12.2A2.3A.2A9.B.B239.4B296.A5.23B9.3B
19.14B$432.4B2.8B40.11B24.A10.4B16.3A.2A4.6B28.6B56.2A5.9B17.A.A9.3B
241.4B295.A.AB.19B.8B4.6B16.16B$433.4B2.2B2A3B39.12B24.3A7.4B16.A4.B
6.6B28.6B63.3B2.4B16.A.A9.B2AB241.4B295.2AB.29B2.10B11.18B$434.4B.2B
2A5B36.14B4.B21.A5.4B18.3AB2AB3.7B27.6B65.B4.4B16.A11.2A243.4B296.44B
3.2B2.20B$435.13B35.4B.10B3.3B19.2A4.4B21.A.2AB.8B29.6B70.4B273.4B
295.37B2A31B$433.16B33.16B2.6B17.9B6.2A18.10B28.6B72.4B273.4B294.37B
2A22B.7B$433.17B32.16B.7B2.4B13.6B7.A19.6B2A3B28.6B72.4B273.4B294.60B
2.6B$433.16B31.2AB2.29B2.2B2.B3.6B5.2A.A19.6B2A2B5.2A21.6B74.4B273.4B
295.58B3.6B$433.15B7.A23.A.AB2.45B4.A2.A20.10B5.A23.6B74.4B273.4B292.
59B6.4B$434.13B8.3A13.2A6.A5.46B3.B2A20.11B2.BA.A22.6B76.4B273.4B291.
2A3.25B4.13B.4B12.B2A2B$426.A8.11B12.A3.2A6.B2AB4.2A4.21B2A13B2A14B
21.12B.B2A24.6B76.4B273.4B291.A3.20B4.B4.7B.B4.4B14.2A.B2A$426.3A6.
15B7.2A2.B2AB5.3B11.21B2A13B2A13B21.15B25.6B78.4B273.4B287.3A6.15B7.
2A16.3B18.BA.A$429.A3.20B4.B3.3B7.B11.51B21.16B26.6B78.4B273.4B286.A
8.11B12.A14.4B22.A$428.2AB2.25B4.B.2B3.5B10.26B5.B.17B18.2B.16B25.6B
80.4B273.4B293.13B8.3A15.2A24.2A$428.43BA4B9.20B2.B10.15B18.2A18B26.
6B80.4B273.4B291.15B7.A18.A$429.41BABA4B5.B.B.20B12.15B18.2AB.17B24.
6B82.4B7.A265.4B290.16B22.3A$428.42BABA4B4.2A24B12.13B20.B.4B.8B2.4B
24.6B82.4B6.3A264.4B289.17B21.A$426.45BA4B5.2A24B10.13B29.7B4.4B22.6B
84.4B8.A264.4B288.16B$427.47B8.2B.12B2.5B2.B2A6.A.2A4.8B29.6B5.4B22.
6B84.4B6.A.A264.4B289.13B$427.45B12.13B3.4B2.BA.A3.3AB2A6.6B31.4B6.4B
20.6B86.4B5.A.AB264.4B288.3B.2B2A5B$425.2AB.29B.13B10.B.11B14.A2.A4.B
8.5B33.3BA5.4B20.6B86.4B5.A3B264.4B285.4B2.2B2A3B$424.A.AB.19B.8B2.
12B10.2A12B14.2A2.3A.2A9.B.B34.BA.A5.4B18.6B88.4B6.4B263.4B284.2A3.8B
$424.A5.23B6.13B9.2AB.10B20.A.A9.3B36.A.A6.4B18.6B88.4B5.6B262.4B284.
A4.8B$423.2A5.7B.13B8.12B11.B4.6B.B2A18.A.A9.B2AB36.A8.4B16.6B90.4B4.
7B262.4B115.22B143.3A5.8B$431.3B.3B.4B3.4B10.10B19.4B.BA.A18.A11.2A
38.3A6.4B16.6B90.4B2.8B.4B.B256.4B132.4B143.A8.7B$430.2B2.3B3.B4.4B
13.8B17.5B5.A72.A7.4B14.6B92.17B.B2A256.4B130.5B152.7B$429.B2AB.B2AB
6.4B17.5B17.2A8.2A80.4B14.6B92.18B2A257.4B128.4B.B144.A7.6B$430.2A3.
2A6.4B18.6B17.A91.4B12.6B93.16B.2B259.4B126.4B2.B143.A.A6.6B$442.4B
18.7B14.3A93.4B12.6B92.16B263.4B124.4B3.B143.A.A6.5B$441.4B20.5B15.A
96.4B10.6B93.15B265.4B122.4B4.B141.3A.2A4.6B$440.4B21.5B113.4B10.6B
90.2AB.12B267.4B120.4B5.B140.A4.B6.6B$439.4B22.7B112.4B8.6B90.A.AB2.
11B268.4B118.4B6.B141.3AB2AB3.7B$438.4B23.8B2.2A108.4B8.6B89.A5.10B
270.4B116.4B7.B143.A.2AB.8B$437.4B22.12BA.A108.4B6.6B89.2A5.2B2A6B
271.4B114.4B8.B147.10B$436.4B23.11B3.A109.4B6.6B94.3B2A6B272.4B112.4B
9.B147.6B2A3B$435.4B24.5B2A4B3.2A109.4B4.6B96.10B273.4B110.4B10.B147.
6B2A2B5.2A$434.4B25.5B2A3B116.4B4.6B95.8B.B2A.A270.4B108.4B11.B147.
10B5.A$433.4B26.10B117.4B2.6B95.7B3.B2AB3A269.4B106.4B12.B146.11B2.BA
.A$418.A13.4B27.9B119.4B2.6B94.6B6.B4.A269.4B104.4B13.B146.12B.B2A$
418.3A10.4B28.9B120.10B96.6B4.2A.3A271.4B102.4B14.B145.15B$421.A8.4B
30.8B121.3B.6B95.5B6.A.A274.4B100.4B15.B144.16B$420.2A7.4B30.8B123.8B
95.6B6.A.A275.4B98.4B16.B141.2B.16B$420.5B3.4B32.6B125.B.6B94.6B7.A
277.4B96.4B17.B140.2A18B$422.3B2.4B27.2A4.6B126.6B94.7B286.4B94.4B18.
B140.2AB.17B$412.2A7.9B29.A4.6B127.6B93.7B8.A278.4B92.4B19.B141.B.4B.
8B2.4B$412.A8.8B30.A.AB.7B125.6B94.8B5.3A279.4B90.4B20.B148.7B4.4B$
409.2A.A.B3.10B32.2AB2.6B126.6B93.8B4.A283.4B88.4B171.6B5.4B$409.A2.
3AB.2B2A7B34.8B126.6B.B93.8B3.2A283.4B86.4B174.4B6.4B$410.2A2.BA3B2A
7B34.8B127.8B92.3B2A2B2.4B284.4B84.4B177.3BA5.4B$412.4A12B35.8B125.6B
.3B89.5B2A2B.3B287.4B82.4B179.BA.A5.4B$412.A.2B3.7B.B2A34.7B126.10B
88.13B288.4B80.4B181.A.A6.4B$413.3AB2.7B.BA.A6.B27.6B125.6B2.4B86.16B
287.4B78.4B183.A8.4B$416.A4.4B5.A5.2B2A25.7B125.6B2.4B62.A21.17B288.
4B76.4B185.3A6.4B$411.5A5.4B5.2A3.2BABAB24.7B124.6B4.4B59.3A22.16B
289.4B74.4B188.A7.4B$411.A10.4B9.3BA2B.4B19.8B.2B121.6B4.4B57.A18.A7.
15B290.4B72.4B198.4B$413.A9.4B8.12B2.4B12.13B118.6B6.4B30.2A24.2A15.
3A8.13B292.4B70.4B200.4B$412.2A10.4B8.11B.5B12.13B119.6B6.4B30.A22.4B
14.A12.11B8.A285.4B68.4B202.4B$425.4B7.18B11.14B117.6B8.4B29.A.AB18.
3B16.2A7.15B6.3A286.4B66.4B204.4B$426.4B7.17B12.12B119.6B8.4B29.2AB.
2A14.4B4.B.7B4.B4.20B3.A290.4B64.4B206.4B$427.4B4.19B15.10B117.6B10.
4B30.2B2AB12.4B.13B4.25B3.2A290.4B62.4B208.4B$428.4B2.20B2.B11.11B.B
116.6B10.4B29.4B6.59B291.4B60.4B210.4B$429.30B5.B.14B2A114.6B12.4B28.
6B3.58B294.4B58.4B212.4B$430.6BA43B2A115.6B12.4B28.6B2.60B293.4B56.4B
214.4B$430.5BABA16B2A25B115.6B14.4B27.7B.22B2A37B293.4B54.4B216.4B$
430.5BABA16B2A25B116.6B14.4B25.31B2A37B294.4B52.4B218.4B$430.6BA40B
119.6B16.4B23.20B2.2B3.44B295.4B50.4B220.4B$428.2AB.2B.40B2A120.6B16.
4B21.18B11.10B2.29B.B2A294.4B48.4B222.4B$427.A.AB5.27B2.2B2.6B2AB.B
116.6B18.4B20.16B16.6B4.8B.19B.BA.A294.4B46.4B224.4B$427.A9.8B3.7B2.
4B10.8B2A116.6B18.4B20.14B19.3B9.23B5.A295.4B44.4B226.4B$426.2A10.7B
4.6B18.4B.B2A115.6B20.4B18.16B20.B11.13B.7B5.2A295.4B42.4B228.4B$438.
6B6.3B21.2B3.B117.6B20.4B15.2AB.14B20.2A11.4B3.4B.3B.3B304.4B40.4B
230.4B$439.6B6.B21.2B121.6B22.4B13.A.AB.6B3.3B.B2A19.A12.3B5.B3.3B2.
2B304.4B38.4B232.4B$438.6B28.B2AB121.6B22.4B12.A4.6B7.BA.A15.3A14.4B
6.B2AB.B2AB304.4B36.4B234.4B$439.6B28.2A121.6B24.4B10.2A4.7B9.A15.A
18.2A7.2A3.2A38.2A266.4B34.4B236.4B$438.6B153.6B24.4B15.8B2.2A4.2A33.
A52.B2A2B3.2A260.4B32.4B238.4B$439.6B151.6B26.4B12.12BA.A39.3A50.4B2.
B2AB260.4B30.4B240.4B$438.6B153.6B26.4B11.11B3.A41.A24.A21.B.6B3.2B
262.4B28.4B242.4B$439.6B151.6B28.4B10.5B2A4B3.2A63.3A19.10B2.2B264.4B
26.4B244.4B$438.6B153.6B28.4B9.5B2A3B51.2B15.A22.11B2A2B264.4B24.4B
246.4B$439.6B151.6B30.4B8.10B50.4B14.2A20.12B2A3B.B262.4B22.4B248.4B$
438.6B153.6B30.4B7.9B51.4B15.B20.18B2A262.4B20.4B250.4B$439.6B151.6B
32.4B6.9B47.B2.6B14.3B19.15B.B2A263.4B18.4B252.4B$438.6B153.6B32.4B6.
8B46.2AB.2B2A2B13.6B16.15B3.B265.4B16.4B254.4B$439.6B151.6B34.4B4.8B
47.2A3BA2BA3B.B8.10B11.17B270.4B14.4B256.4B$438.6B153.6B34.4B4.6B49.
2B.2B2A7B3.2B2.11B3.2B2.19B272.4B12.4B258.4B$439.6B151.6B36.4B3.6B52.
22B2A31B273.4B10.4B260.4B$438.6B153.6B36.4B2.6B53.21B2A22B.7B275.4B8.
4B262.4B$439.6B151.6B38.4B.7B52.45B2.6B276.4B6.4B264.4B$438.6B153.6B
38.4B.6B52.45B2.7B276.3B2.2A2.3B266.4B$439.6B151.6B40.9B52.45B4.6B
277.2B2.2A2.2B268.4B$438.6B153.6B40.8B50.B.13B2.B4.13B.4B10.6B279.B6.
B270.4B$439.6B151.6B42.8B48.2AB.12B7.7B.B5.3B12.5B558.4B$438.6B153.6B
42.7B48.2A14B19.4B13.6B558.4B$439.6B151.6B44.6B7.2A40.2B.11B20.2A15.
6B559.4B$438.6B153.6B43.7B6.A44.11B21.A15.7B559.4B$439.6B151.6B44.7B
3.BA.A44.10B19.3A16.7B560.4B$438.6B153.6B43.8B2.B2A41.2A2.6B23.A17.8B
561.4B$439.6B151.6B44.11B42.A.A9B40.8B562.4B$438.6B153.6B43.11B42.A3.
9B38.8B564.4B$439.6B151.6B44.11B41.2A3.9B39.2B2A3B565.4B$438.6B153.6B
44.11B45.9B39.2B2A5B564.4B$439.6B151.6B48.7B14.A31.9B35.13B565.4B$
438.6B153.6B46.8B4.2A6.3A30.11B32.16B565.4B$439.6B151.6B46.8B5.A6.A
33.11B32.17B565.4B$438.6B153.6B46.7B2.BA.A6.2A32.12B31.16B567.4B$439.
6B151.6B46.9B.B2A8.B26.B4.14B30.15B569.4B$438.6B153.6B45.11B10.3B23.
3B3.10B.4B30.13B571.4B$439.6B151.6B46.11B9.6B19.6B2.16B30.11B573.4B$
438.6B153.6B43.2AB.9B.B3.B2.10B10.4B2.7B.17B27.13B574.4B$439.6B151.6B
43.A.AB2.27B3.2B2.29B.4B25.14B575.4B$438.6B153.6B42.A5.20B2A41B2.4B
24.16B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
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B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
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B.B.B.B.B.B.B.B101.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
5B$439.6B151.6B42.2A5.20B2A41B3.4B23.371B100.125B$438.6B153.6B48.41B
2A21B3.4B22.371B100.126B.B$439.6B151.6B49.41B2A21B4.4B22.370B100.127B
2A$438.6B153.6B46.67B4.4B19.372B100.127B2A$439.6B151.6B47.2A3.5B2.3B
5.13B.B5.26B6.4B17.2A371B100.125B2.B$438.6B153.6B47.A3.6B3.3B3.7B.B
13.B2.20B8.4B16.ABA16B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B101.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.3B$439.6B151.6B45.3A5.4B5.2A27.20B.B.B6.4B14.2BA9B
2A4B579.B2A$438.6B153.6B44.A10.2B4.A27.24B2A6.4B14.6B.3BA2BA2B581.A.A
$439.6B151.6B55.BA2B4.3A23.25B2A7.4B14.3B3.4B2A2B580.A.A.3A$438.6B
153.6B54.A.A7.A22.4B.5B2.12B.2B9.4B20.6B576.2A3.2A5.A$439.6B151.6B56.
A30.4B2.4B3.13B12.4B20.6B574.A.A9.2A$438.6B153.6B85.4B12.11B.B11.4B
19.6B575.A$439.6B151.6B85.4B13.12B2A11.4B10.A6.6B$438.6B153.6B83.4B
13.11B.B2A12.4B7.3A5.9B$439.6B151.6B83.4B13.2A8B4.B14.4B5.A7.4B4.2A$
438.6B153.6B81.4B13.A.AB.4B22.4B4.2A5.4B5.A$439.6B151.6B81.4B14.A5.5B
21.9B4.4B7.3A$438.6B153.6B79.4B14.2A5.B2.2A22.6B5.4B10.A$439.6B151.6B
79.4B25.A23.8B2.4B$438.6B153.6B77.4B27.3A18.15B$439.6B151.6B77.4B30.A
18.14B$438.6B153.6B75.4B50.13B$439.6B151.6B75.4B49.2AB.10B$438.6B153.
6B73.4B49.A.AB3.B2A3B$439.6B151.6B73.4B50.A6.B2A3B$438.6B153.6B71.4B
50.2A6.4B$439.6B151.6B71.4B60.3B$438.6B153.6B69.4B62.2B.BA$439.6B151.
6B69.4B62.B2ABA.A$438.6B153.6B67.4B62.BABABA.A$439.6B151.6B67.4B61.A
2.A.A.A.A.2A$438.6B153.6B65.4B62.4A.2A2.A2.A$439.6B151.6B65.4B67.A4.
2A$438.6B153.6B63.4B66.A.A$439.6B151.6B63.4B67.2A$438.6B153.6B61.4B$
439.6B151.6B61.4B$438.6B153.6B59.4B$439.6B151.6B59.4B$438.6B153.6B57.
4B$439.6B151.6B57.4B$438.6B153.6B55.4B$439.6B151.6B55.4B$438.6B153.6B
53.4B$439.6B151.6B53.4B$438.6B153.6B51.4B$439.6B151.6B51.4B$438.6B
153.6B49.4B$439.6B151.6B49.4B$438.6B153.6B47.4B$439.6B151.6B47.4B$
438.6B153.6B45.4B$439.6B151.6B45.4B$438.6B153.6B43.4B$439.6B151.6B43.
4B$438.6B153.6B41.4B$439.6B151.6B41.4B$438.6B153.6B39.4B$439.6B151.6B
39.4B$438.6B153.6B37.4B$439.6B151.6B37.4B$438.6B153.6B35.4B$439.6B
151.6B35.4B$438.6B153.6B33.4B$439.6B151.6B33.4B$438.6B153.6B31.4B$
439.6B151.6B31.4B$438.6B153.6B29.4B$439.6B151.6B29.4B$438.6B153.6B27.
4B$439.6B151.6B27.4B$438.6B153.6B25.4B$439.6B151.6B25.4B$438.6B153.6B
23.4B$439.6B151.6B23.4B$438.6B153.6B21.4B$439.6B151.6B21.4B$438.6B
153.6B19.4B$439.6B151.6B19.4B$438.6B153.6B17.4B$439.6B151.6B17.4B$
438.6B153.6B15.4B$439.6B151.6B15.4B$438.6B153.6B13.4B$439.6B151.6B13.
4B$438.6B153.6B11.4B$439.6B151.6B11.4B$438.6B153.6B9.4B$439.6B151.6B
9.4B$438.6B153.6B7.4B$439.6B151.6B7.4B$438.6B153.6B5.4B$439.6B151.6B
5.4B$438.6B153.6B3.4B$439.6B151.6B3.4B$438.6B153.6B.4B$439.6B151.6B.
4B$438.6B153.9B$439.6B151.9B$438.6B153.7B$439.6B151.7B$438.6B153.6B$
439.6B151.6B$438.6B152.7B$439.6B150.7B$438.6B150.9B$439.6B148.9B$438.
6B148.4B.6B$439.6B146.4B.6B$438.6B146.4B3.6B$439.6B144.4B3.6B$438.6B
144.4B5.6B$439.6B142.4B5.6B$438.6B142.4B7.6B$439.6B140.4B7.6B$438.6B
140.4B9.6B$439.6B138.4B9.6B$438.6B138.4B11.6B$439.6B136.4B11.6B$438.
6B136.4B13.6B$439.6B134.4B13.6B$438.6B134.4B15.6B$439.6B132.4B15.6B$
438.6B132.4B17.6B$439.6B130.4B17.6B$438.6B130.4B19.6B$439.6B128.4B19.
6B$438.6B128.4B21.6B$439.6B126.4B21.6B$438.6B126.4B23.6B$439.6B124.4B
23.6B$438.6B124.4B25.6B$439.6B122.4B25.6B$438.6B122.4B27.6B$439.6B
120.4B27.6B$438.6B120.4B29.6B$439.6B118.4B29.6B$438.6B118.4B31.6B$
439.6B116.4B31.6B$438.6B116.4B33.6B$439.6B114.4B33.6B$438.6B114.4B35.
6B$439.6B112.4B35.6B$438.6B112.4B37.6B$439.6B110.4B37.6B$438.6B110.4B
39.6B$439.6B108.4B39.6B$438.6B108.4B41.6B$439.6B106.4B41.6B$438.6B
106.4B43.6B$439.6B104.4B43.6B$438.6B104.4B45.6B$439.6B102.4B45.6B$
438.6B102.4B47.6B$439.6B100.4B47.6B$438.6B100.4B49.6B$439.6B98.4B49.
6B$438.6B98.4B51.6B$439.6B96.4B51.6B$438.6B96.4B53.6B$439.6B94.4B53.
6B$438.6B94.4B55.6B$439.6B92.4B55.6B$438.6B92.4B57.6B$439.6B90.4B57.
6B$438.6B90.4B59.6B$439.6B88.4B59.6B$438.6B88.4B61.6B$439.6B86.4B61.
6B$438.6B86.4B63.6B$439.6B84.4B63.6B$438.6B84.4B65.6B$439.6B82.4B65.
6B$438.6B82.4B67.6B$439.6B80.4B67.6B$438.6B80.4B69.6B$439.6B78.4B69.
6B$438.6B78.4B71.6B$439.6B76.4B71.6B$438.6B76.4B73.6B$439.6B74.4B73.
6B$438.6B74.4B75.6B$439.6B72.4B75.6B$438.6B72.4B77.6B$439.6B70.4B77.
6B$438.6B70.4B79.6B$439.6B68.4B79.6B$438.6B68.4B81.6B$439.6B66.4B81.
6B$438.6B66.4B83.6B$439.6B64.4B83.6B$438.6B64.4B85.6B$439.6B62.4B85.
6B$438.6B62.4B87.6B$439.6B60.4B87.6B$438.6B60.4B89.6B$439.6B58.4B89.
6B$438.6B58.4B91.6B$439.6B56.4B91.6B$438.6B56.4B93.6B$439.6B54.4B93.
6B$438.6B54.4B95.6B$439.6B52.4B95.6B$438.6B52.4B97.6B$439.6B50.4B97.
6B$438.6B50.4B99.6B$439.6B48.4B99.6B$438.6B48.4B101.6B$439.6B46.4B
101.6B$438.6B46.4B103.6B$439.6B44.4B103.6B$438.6B44.4B105.6B$439.6B
42.4B105.6B$438.6B42.4B107.6B$439.6B40.4B107.6B$438.6B40.4B109.6B$
439.6B38.4B109.6B$438.6B38.4B111.6B$439.6B36.4B111.6B$438.6B36.4B113.
6B$439.6B34.4B113.6B$438.6B34.4B115.6B$439.6B32.4B115.6B$438.6B32.4B
117.6B$439.6B30.4B117.6B$438.6B30.4B119.6B$439.6B28.4B119.6B$438.6B
28.4B121.6B$439.6B26.4B121.6B$438.6B26.4B123.6B$439.6B24.4B123.6B$
438.6B24.4B125.6B$439.6B22.4B125.6B$438.6B22.4B127.6B$439.6B20.4B127.
6B$438.6B20.4B129.6B$439.6B151.6B$438.6B153.6B$439.6B20.2A129.6B$438.
6B21.2A130.6B$439.6B151.6B$438.6B153.6B$439.6B19.4B128.6B$438.6B21.4B
128.6B$439.6B21.4B126.6B$438.6B23.4B126.6B$439.6B23.4B124.6B$438.6B
25.4B124.6B$439.6B25.4B122.6B$438.6B27.4B122.6B$439.6B27.4B120.6B$
438.6B29.4B120.6B$439.6B29.4B118.6B$438.6B31.4B118.6B$439.6B31.4B116.
6B$438.6B33.4B116.6B$439.6B33.4B114.6B$438.6B35.4B114.6B$439.6B35.4B
112.6B$438.6B37.4B112.6B$439.6B37.4B110.6B$438.6B39.4B110.6B$439.6B
39.4B108.6B$438.6B41.4B108.6B$439.6B41.4B106.6B$438.6B43.4B106.6B$
439.6B43.4B104.6B$438.6B45.4B104.6B$439.6B45.4B102.6B$438.6B47.4B102.
6B$439.6B47.4B100.6B$438.6B49.4B100.6B$439.6B49.4B98.6B$438.6B51.4B
98.6B$439.6B51.4B96.6B$438.6B53.4B96.6B$439.6B53.4B94.6B$438.6B55.4B
94.6B$439.6B55.4B92.6B$438.6B57.4B$439.6B57.4B$438.6B59.4B$439.6B59.
4B$438.6B61.4B$439.6B61.4B$438.6B63.4B$439.6B63.4B$438.6B65.4B18.B$
439.6B65.4B17.B$438.6B67.4B16.B$439.6B67.4B15.B$438.6B69.4B14.B$439.
6B69.4B13.B$438.6B71.4B12.B$439.6B71.4B11.B$438.6B73.4B10.B$439.6B73.
4B9.B$438.6B75.4B8.B$439.6B75.4B7.B$438.6B77.4B6.B$439.6B77.4B5.B$
438.6B79.4B4.B$439.6B79.4B3.B$438.6B81.4B2.B$439.6B81.4B.B$438.6B83.
5B$439.6B83.4B$438.6B85.3B$439.6B64.23B$438.6B$439.6B$438.6B$439.6B
117$597.6B$596.6B$597.6B$596.6B$597.6B$596.6B$597.6B$596.6B$597.6B$
596.6B$597.6B$596.6B$597.6B$596.6B$597.6B$596.6B$597.6B$596.6B$597.6B
$596.6B$597.6B$566.2A28.6B$565.B2AB28.6B$566.2B21.B6.6B$561.B3.2B21.
3B6.6B$560.2AB.4B18.6B4.7B10.2A$560.2A8B10.4B2.7B3.8B9.A$561.B.B2A6B
2.2B2.27B5.BA.A$564.2A40B.2B.B2A$564.40BA6B$560.25B2A16BABA5B$560.25B
2A16BABA5B$559.2A43BA6B$559.2A14B.B5.30B$438.6B116.B.11B11.B2.20B2.4B
$439.6B117.10B15.19B4.4B$438.6B119.12B12.17B7.4B$439.6B117.14B11.18B
7.4B$438.6B119.13B12.5B.11B8.4B10.2A$439.6B118.13B12.4B2.12B8.4B9.A$
438.6B121.2B.8B19.4B.2BA3B9.4B10.A$439.6B124.7B24.BABA2B3.2A5.4B5.5A$
438.6B125.7B25.2A2B5.A5.4B4.A$439.6B125.6B27.B6.A.AB.7B2.B3A$438.6B
126.7B34.2AB.7B3.2B.A$439.6B125.8B35.12B4A$438.6B127.8B34.7B2A3BAB2.
2A$439.6B126.8B34.7B2A2B.B3A2.A$438.6B126.6B2.B2A32.10B3.B.A.2A$439.
6B125.7B.BA.A30.8B8.A$438.6B127.6B4.A29.9B7.2A$439.6B126.6B4.2A27.4B
2.3B$438.6B127.6B32.4B3.5B$439.6B125.8B30.4B7.2A$438.6B125.8B30.4B8.A
$439.6B124.9B28.4B10.3A$438.6B125.9B27.4B13.A$439.6B123.10B26.4B$438.
6B124.3B2A5B25.4B$439.6B117.2A3.4B2A5B24.4B$438.6B119.A3.11B23.4B$
439.6B118.A.A12B22.4B$438.6B120.2A2.8B23.4B$439.6B124.7B22.4B$438.6B
127.5B21.4B$439.6B110.A15.5B20.4B$438.6B109.3A14.7B18.4B$439.6B107.A
17.6B18.4B6.2A3.2A$438.6B98.2A8.2A17.5B17.4B6.B2AB.B2AB$439.6B98.A5.
5B17.8B13.4B4.B3.3B2.2B$438.6B67.2A11.A18.A.AB.4B19.10B10.4B3.4B.3B.
3B$439.6B65.B2AB9.A.A18.2AB.6B4.B11.12B8.13B.7B5.2A$438.6B67.3B9.A.A
20.10B.B2A9.13B6.23B5.A$439.6B65.B.B9.2A.3A2.2A14.12B2A10.12B2.8B.19B
.BA.A$438.6B66.5B8.B4.A2.A14.11B.B10.13B.29B.B2A$439.6B65.6B6.2AB3A3.
A.AB2.4B3.13B12.45B$438.6B66.8B4.2A.A6.2AB2.5B2.12B.2B8.47B$439.6B66.
13B10.24B2A5.4BA44B$438.6B65.13B12.24B2A4.4BABA42B$439.6B63.15B12.20B
.B.B5.4BABA40B$438.6B64.15B10.B2.20B9.4BA43B$439.6B62.17B.B5.26B10.5B
3.2B.B4.25B3.2A$438.6B63.51B11.B7.3B3.B4.20B3.A$439.6B61.13B2A13B2A
21B11.3B5.B2AB2.2A7.15B6.3A$438.6B61.14B2A13B2A21B4.2A4.B2AB6.2A3.A
12.11B8.A$439.6B59.2AB3.46B5.A6.2A13.3A8.13B$438.6B59.A2.A4.45B2.BA.A
23.A7.15B$439.6B57.A.2A5.6B3.B2.2B2.29B2.B2A31.16B$438.6B58.A7.6B13.
4B2.7B.16B32.17B$439.6B56.2A6.9B17.6B2.16B33.16B$438.6B64.4B4.2A19.3B
3.10B.4B35.13B$439.6B62.4B5.A21.B4.14B36.5B2A2B.3B$438.6B62.4B7.3A24.
12B39.3B2A2B2.4B$439.6B60.4B10.A24.11B40.8B3.2A$438.6B60.4B36.11B39.
8B4.A$439.6B58.4B38.9B40.8B5.3A$438.6B58.4B39.9B40.7B8.A$439.6B56.4B
35.2A3.9B40.7B$438.6B56.4B37.A3.9B41.6B$439.6B54.4B38.A.A9B42.6B$438.
6B54.4B40.2A2.6B44.5B$439.6B52.4B45.6B44.6B$438.6B52.4B46.7B42.6B$
439.6B50.4B47.8B2.2A37.7B$438.6B50.4B46.12BA.A37.6B$439.6B48.4B47.11B
3.A37.6B$438.6B48.4B48.5B2A4B3.2A36.6B$439.6B46.4B49.5B2A3B41.8B$438.
6B46.4B50.10B40.8B$439.6B44.4B51.9B41.9B$438.6B44.4B52.9B41.9B$439.6B
42.4B54.8B40.10B$438.6B42.4B54.8B41.3B2A5B$439.6B40.4B49.2A5.6B36.2A
3.4B2A5B$438.6B40.4B51.A5.6B37.A3.11B$439.6B38.4B52.A.AB2.6B37.A.A12B
$438.6B38.4B54.2AB2.7B37.2A2.8B$439.6B36.4B57.3B.6B42.7B4.2A$438.6B
36.4B58.9B44.6B4.A$439.6B34.4B60.8B44.6B.BA.A$438.6B34.4B62.8B42.7B.B
2A$439.6B32.4B64.7B8.A34.8B$438.6B32.4B66.6B6.3A27.A6.7B$439.6B30.4B
67.7B4.A30.3A4.7B$438.6B30.4B68.7B4.2A20.A11.A2.7B4.B$439.6B28.4B69.
8B.4B4.A15.3A8.2A3.6B.B.2BA$438.6B28.4B70.11B4.3A18.A7.15BA.A$439.6B
26.4B71.12B2.A20.2A3.B5.12B.BA$438.6B26.4B72.12B2.2A19.8B2.13B$439.6B
24.4B74.11B3.B21.21B$438.6B24.4B78.7B4.3B19.20B$439.6B22.4B78.8B3.6B
16.19B$438.6B22.4B78.9B2.10B11.21B$439.6B20.4B78.23B3.2B2.24B$438.6B
20.4B77.B.16B2A30B5.B2A$439.6B18.4B77.2A17B2A22B.6B6.BA.A$438.6B18.4B
78.2A41B2.B.5B7.A$439.6B16.4B80.42B7.2A7.2A$438.6B16.4B79.5B2.36B8.A$
439.6B14.4B80.2A6.5B5.13B.4B16.3A$438.6B14.4B82.A7.2B.3B3.7B.B4.4B19.
A$439.6B12.4B80.3A12.2A15.4B$438.6B12.4B81.A14.A15.B2AB$439.6B10.4B
98.3A14.A$438.6B10.4B101.A11.3A$439.6B8.4B114.A$438.6B8.4B$439.6B6.4B
$438.6B6.4B$439.6B4.4B$438.6B4.4B$433.A5.6B2.4B$432.A.A3.6B2.4B$433.
2A4.10B$438.10B$439.8B$438.8B$434.2A3.6B$434.A2.7B$435.3A6B$437.AB.3B
$435.2A3.2B$435.A3.B2AB$433.A.A4.2A$433.2A!
The "support" is just some junk in three locations, at 90, 180, and 270 degrees from the current loop position -- could be just a couple of blocks, or could be the full leftover far-end reflector circuitry from the last round of spiraling. The recipe in the loops (represented by three signals here, but really the loop would be much longer) would tear down and rebuild the far-end reflector circuitry, a little farther away from the center each time. So the spiraller would get gradually bigger and slower.

The switching system that empties the old memory loop and sends the recipe to the next larger memory loop is not shown here. There are lots of other options, including diagonal memory loops which wouldn't need all the complicated MWSS-making circuitry.

Don't Give Up On Type 1
It's not at all clear that a Type 1 spiraller is impossible. There would be some tricky timing issues to sort out, to get target objects out to the right place(s) to build the far-end reflector. But it's probably doable somehow.

Just for example, if there's a way to synchronize the production of an LWSS at one end of a spiraler's memory loop, and a glider at the other end, then that could build a faraway elbow and solve half the problem. Building a "hand" target block is probably just some more synchronized *WSSes and gliders, using the constructed elbow.

The big problem is working things out so that when the recipe gets longer, the starting points of the colliding *WSSes and gliders are dependent on the current length of the spiraller, but the synchronization still works. It might take somebody cleverer than me to sort out the details.
The spirallers may be technically allowed to grow,but only if they do not tend to cover the infinite plane,like spiral growth avaiable at Golly. Example:The replicator from HighLife is growing just linearly,not tending to cover everything,but it is also a sawtooth,so I am not sure.This may be done by moving or destroying the center and rebuilding it. Or if distance beetwen the center and the outer edge increases.I still have not standardised the definition.
Have a good day!

BokaBB

Re: The Spirallers Question

Posted: May 27th, 2020, 11:19 am
by Hunting
Ah, alright. Maybe 1) BokaBB is not writing the definition clearly or 2) I'm just not too good at understanding. Can someone explain to me how would, for example, a type-2 work?

Re: The Spirallers Question

Posted: May 27th, 2020, 11:33 am
by dvgrn
Hunting wrote:
May 27th, 2020, 11:19 am
Ah, alright. Maybe 1) BokaBB is not writing the definition clearly or 2) I'm just not too good at understanding. Can someone explain to me how would, for example, a type-2 work?
Working from the sample blueprint above,

1) The memory loop on the west should be expanded to contain a single-channel recipe that can tear down the far end of the memory loop on the north, and rebuild it some distance farther away (could be as few as 2 cells).
2) When that rebuild process is done, the elbow and hand blocks should be moved to the right position so that the next rebuild can be done starting from the new location, with the same recipe.
3) (The elbow blocks won't really be inside the loops, as the blueprint shows, because the loops will actually be a whole lot longer.)
4) Signals in the memory loop should probably go around once to rebuild the far end of the north memory loop, and once more to populate the new longer north loop. Switching system mostly not shown, but it could be similar to the one-time switching system in the loopship, or it could be some kind of re-usable switch that hasn't been invented yet.
5) The north loop will then increase the length of the east loop, etc., etc.

So... as each loop gets used, the next loop clockwise gets extended slightly, and then that loop gets used, and so on. The pattern will grow very very slowly, and will grow more and more slowly as time goes on, because each rebuild cycle will take just slightly longer than the last one (because the memory loop period will be bigger).

Re: The Spirallers Question

Posted: May 27th, 2020, 11:42 am
by Hunting
dvgrn wrote:
May 27th, 2020, 11:33 am
Hunting wrote:
May 27th, 2020, 11:19 am
Ah, alright. Maybe 1) BokaBB is not writing the definition clearly or 2) I'm just not too good at understanding. Can someone explain to me how would, for example, a type-2 work?
Working from the sample blueprint above,

1) The memory loop on the west should be expanded to contain a single-channel recipe that can tear down the far end of the memory loop on the north, and rebuild it some distance farther away (could be as few as 2 cells).
2) When that rebuild process is done, the elbow and hand blocks should be moved to the right position so that the next rebuild can be done starting from the new location, with the same recipe.
3) (The elbow blocks won't really be inside the loops, as the blueprint shows, because the loops will actually be a whole lot longer.)
4) Signals in the memory loop should probably go around once to rebuild the far end of the north memory loop, and once more to populate the new longer north loop. Switching system mostly not shown, but it could be similar to the one-time switching system in the loopship, or it could be some kind of re-usable switch that hasn't been invented yet.
5) The north loop will then increase the length of the east loop, etc., etc.

So... as each loop gets used, the next loop clockwise gets extended slightly, and then that loop gets used, and so on. The pattern will grow very very slowly, and will grow more and more slowly as time goes on, because each rebuild cycle will take just slightly longer than the last one (because the memory loop period will be bigger).
I still don't quite understand (sorry for being an idiot). So it creates a memory loop which creates a memory loop outside it which creates a memory loop outside it...?

Re: The Spirallers Question

Posted: May 27th, 2020, 12:15 pm
by dvgrn
Hunting wrote:
May 27th, 2020, 11:42 am
So it creates a memory loop which creates a memory loop outside it which creates a memory loop outside it...?
Sort of. You looked at the blueprint? There would basically be four memory loops, and each one would get a little longer every four cycles of the spiraller.

It would be an easy change to the design to have only one memory loop be functional at any given time -- or two memory loops only for brief periods, anyway. You'd have to add some self-destruct circuitry to tear down the far-end part of each loop as soon as it goes inactive.

It's just really important that a construction-arm elbow and target gets left behind in the right places to start the next round of construction at that memory loop location.

So each cycle of the spiraller would look just like the previous cycle rotated 90 degrees -- except that one or more of the memory loops would be a little longer. (Really only one of them gets longer with each cycle, presumably the shortest one but it would probably work fine with some loops much longer than others.)

The near-end 180-degree reflector/construction arm parts of the loops could just be left in position. They could be torn down and rebuilt without much difficulty, too, but it's not clear what the point would be.

Re: The Spirallers Question

Posted: May 29th, 2020, 11:33 am
by EvinZL
Fairly easy to prove they exist: just attach a suitably programmed universal computer to a universal constructor so that every run the step size increases and it turns 90 degrees.

Re: The Spirallers Question

Posted: May 29th, 2020, 7:20 pm
by Moosey
Am I crazy are are type-1 spirallers just RRos?

Re: The Spirallers Question

Posted: May 29th, 2020, 9:08 pm
by Hunting
Moosey wrote:
May 29th, 2020, 7:20 pm
Am I crazy are are type-1 spirallers just RRos?
No, because it moves outwards

Re: The Spirallers Question

Posted: July 4th, 2020, 8:33 am
by BokaBB
Can someone try to make something that could help in the construction of the spiraller?
Have a good day!

BokaBB

Re: The Spirallers Question

Posted: July 4th, 2020, 9:01 am
by Hunting
BokaBB wrote:
July 4th, 2020, 8:33 am
Can someone try to make something that could help in the construction of the spiraller?
Have a good day!

BokaBB
I'll try to do a proof-of-concept in Dominoplex or similar rules.

Re: The Spirallers Question

Posted: July 4th, 2020, 5:59 pm
by dvgrn
All the tools to make a Type 2 spiraller are available, but I'm not sure Type 2 is of general interest.

So far, the majority of devices that can switch a construction recipe from one loop to another have been based on one-time turners, but in this case it would be a good idea to design permanent circuitry to do all the switching work. I thought about making a device to edge-shoot an eater into a glider lane, to suppress the gliders in a given loop once their construction work is done and they've been copied to the next loop. Then the eater would just be shot down with another glider before the next use of the (expanded) loop begins.

Eater edgeshooter:

Code: Select all

x = 133, y = 98, rule = LifeHistory
40.2A$40.A.A$42.A4.2A$38.4A.2A2.A2.A$38.A2.A.A.A.A.2A$40.BABABA.A$41.
B2ABA.A$42.2B.BA$41.3B$32.2A6.4B$33.A6.B2A3B35.A11.2B$33.A.AB3.B2A3B
35.3A6.12B$34.2AB.10B36.A4.3B2A9B$36.13B22.2A10.2A4.3B2A10B$36.5B3D6B
22.A10.5B2.15B$36.7BD7B21.A.AB9.4B2.10B.4B$38.4BD3B2.4B10.A10.2AB.3B
4.23B$38.6B5.4B7.3A12.7B.25B$37.9B4.4B5.A15.34B$36.4B4.2A5.4B4.2A15.
34B$35.4B5.A7.9B14.36B19.A$34.4B7.3A5.6B14.38B19.A.A$33.4B11.A5.6B3.B
2.2B2.25B.15B19.2A$32.4B9.2A2.A4.19BD13B2.6B2.2B.8B.2B$31.4B9.A2.2AB
3.6BD13BDBD4B.6B4.3B6.7B3.4B$30.4B10.2A2.9BDBD2B2A9B3D4B2.B.5B13.4B5.
2BDB$29.4B16.9B2D2B2A11BD4B7.2A14.4B5.2B2D$28.4B18.29B8.A13.A.A.A.A5.
2D2B$27.4B19.17B.B.2B16.3A9.A.2A.2A.A5.5B$26.4B21.15B4.B19.A9.A3.A3.A
6.5B$25.4B22.15B33.2A3.A.2A7.3B2C$24.4B24.13B5.A3.2A29.A10.2BC2B$23.
4B27.13B2.A.A3.A27.A.A11.2B3C$22.4B27.8B4.2A.A.A3.A28.2A11.5BC$21.4B
28.6B6.2ABA4.A41.3D2B$20.4B29.5B8.B2.5A.A38.3BD$19.4B30.B.B5.2A.A.2A.
A4.A.A36.3BD$18.4B32.3B4.A.2A.A2.A.2A2.A36.4B$17.4B32.B2AB11.2A.A.2A
36.4B$16.4B34.2A54.4B$3.2A10.4B39.2A49.4B$4.A9.4B40.A.A47.4B$2.A10.4B
43.A4.2A40.4B$2.5A5.4B5.2A33.4A.2A2.A2.A37.4B$7.A4.4B5.A34.A2.A.A.A.A
.2A36.4B$4.3AB2.7B.BA.A20.2A14.BABABA.A26.2A10.4B$3.A.2B3.7B.B2A21.A
16.B2ABA.A27.A9.4B$3.4A12B4.A6.2A3.2A7.A15.2B.BA26.A10.4B$.2A2.BA3B2A
7B3.A.A4.B2AB.B2AB5.4A12.3B29.5A5.4B5.2A$A2.3AB.2B2A7B2.2BAB5.3B.4B3.
2B4.A2.2A6.4B34.A4.4B5.A$2A.A.B3.10B3.2B7.B3.2B3.3B3A2.A2.A6.B2A3B29.
3AB2.7B.BA.A$3.A8.8B.22BA2.2A3.A.AB3.B2A3B28.A.2B3.7B.B2A$3.2A7.32B2A
6.2AB.10B26.4A7B2D3B$13.3B2.24B.B.A8.13B23.2A2.BA3B2A2BDBD2B$11.5B2.
24B2.A9.5B3D6B21.A2.3AB.2B2A2BD4B$11.2A6.23B3.3A6.7BD7B20.2A.A.B3.10B
$12.A4.24B6.A8.4BD3B2.4B22.A8.8B$9.3A5.2A6.16B15.6B5.4B21.2A7.9B$9.A
8.A9.12B8.A6.9B4.4B30.3B2.4B$15.3A11.10B7.3A5.4B4.2A5.4B27.5B3.4B$15.
A10.14B5.A7.4B5.A7.4B26.2A7.4B$25.16B4.2A5.4B7.3A5.4B26.A8.4B10.2A$
25.12B.9B4.4B10.A6.4B22.3A10.4B9.A$25.11B3.6B5.4B19.4B21.A13.4B10.A$
25.B3D4B.2B3.4BD3B2.4B21.4B28.2A5.4B5.5A$25.2BD4B5.7BD7B23.4B28.A5.5B
3.A$25.2B3D2B5.5B3D6B25.4B27.A.AB.7B2.B3A$25.6B6.13B27.4B27.2AB.7B3.
2B.A$24.7B4.2AB.10B29.4B28.3B2D7B4A$25.6B3.A.AB3.B2A3B32.4B27.2BDBD2B
2A3BAB2.2A$25.5B4.A6.B2A3B33.4B26.4BD2B2A2B.B3A2.A$24.6B3.2A6.4B36.4B
25.10B3.B.A.2A$20.2A3.6B11.3B37.4B23.8B8.A$19.A.A2.7B12.2B.BA35.4B21.
9B7.2A$19.A4.6B12.B2ABA.A35.4B19.4B2.3B$18.2A4.6B11.BABABA.A36.4B10.A
6.4B3.5B$24.6B9.A2.A.A.A.A.2A34.4B7.3A5.4B7.2A$23.8B8.4A.2A2.A2.A35.
4B5.A7.4B8.A$24.8B11.A4.2A38.4B4.2A5.4B10.3A$23.9B9.A.A45.9B4.4B13.A$
23.9B9.2A47.6B5.4B$23.10B57.4BD3B2.4B$23.5B2A3B55.7BD7B$23.5B2A4B54.
5B3D6B$23.11B54.13B$23.4BC7BA.2A47.2AB.10B$25.B3C4B2.2A.A46.A.AB3.B2A
3B$25.C2B2C2B53.A6.B2A3B$27.3B54.2A6.4B$28.2B63.3B$94.2B.BA$93.B2ABA.
A$92.BABABA.A$90.A2.A.A.A.A.2A$90.4A.2A2.A2.A$94.A4.2A$92.A.A$92.2A!
But come to think of it, this is overkill. All we need is

1) a signal that can be repeatably extracted from a loop, when the very first glider of a single-channel recipe enters the loop. A demultiplexer on an otherwise suppressed glider output lane can do this with no problem.
2) A delay loop that will delay the extracted signal for long enough for construction to be completed. This could just be a second loop the same size as the main memory loop. Or, to reduce the size of the construction recipe, it could just be a quadri-Snark based delay loop adjusted to produce an output only after the complete construction recipe has gone by. The construction recipe will always be the same size, so this will work. The quadri-Snark delay loop can be packed into the center part of the pattern, which for Type 2 is the part that will never change and doesn't have to be destroyed and reconstructed.
3) A re-usable switch mechanism that the extracted signal can use to change the path of gliders in the current loop, to inject them into the next loop once the re-construction of the far end is complete.

Re: The Spirallers Question

Posted: July 4th, 2020, 6:06 pm
by dvgrn
Perfunctory apologies for the double post, but the last post probably needed a TL;DR already.

Here's a blueprint of Type 2 spiraller circuitry. It's just the first thing I thought of for each problem, so it could probably be tightened down and simplified quite a bit. On the other hand, the far-end circuitry has already been reduced to just about the smallest possible mechanism -- two Snark reflectors. These are the reflectors that have to be shot down and rebuilt by the construction recipe each time around the spiral, to make the loops slightly longer every time.

Code: Select all

x = 963, y = 932, rule = LifeHistory
421.2C$421.2C4$415.D2$405.D7.D2$405.D5.D17.D.D.D.D.D2$405.D3.D19.D.D
2$405.D.D21.D3.D2$405.D.D.D.D.D15.D5.D2$429.D7.D2$439.D111$254.2A$
253.A.A$247.2A4.A$245.A2.A2.2A.4A$245.2A.A.A.A.A2.A493.2A$248.A.ABABA
B494.A.A$248.A.AB2AB489.2A4.A$249.AB.2B488.A2.A2.2A.4A$252.3B487.2A.A
.A.A.A2.A$252.4B6.2A481.A.ABABAB$250.3B2AB6.A482.A.AB2AB$250.3B2AB3.B
A.A483.AB.2B$248.10B.B2A487.3B$247.13B489.4B6.2A$246.14B487.3B2AB6.A$
245.15B487.3B2AB3.BA.A$244.4B2.8B487.10B.B2A$243.4B5.6B486.13B$242.A
3B4.9B484.6B3D5B$241.BABA5.2A4.4B482.7BD7B$240.2B2A7.A5.4B480.4B2.3BD
4B$202.3D2.4D2.3D.D.3D2.4D11.4B5.3A7.4B478.4B5.6B$202.D2.D.D4.D4.D.D
2.D.D13.4B6.A10.4B478.2B4.9B$202.3D2.3D2.D4.D.3D2.3D10.4B19.4B477.B5.
2A4.4B$202.D.D2.D4.D4.D.D4.D11.4B21.4B483.A5.4B$202.D2.D.4D2.3D.D.D4.
4D7.4B23.4B479.3A7.4B$234.4B25.4B478.A10.4B$233.4B27.4B489.4B$232.4B
29.B492.4B$231.4B524.4B$230.4B$229.4B$228.4B$227.4B$226.4B$225.4B$
224.4B$223.4B$222.4B$221.4B$220.A3B$219.A3B$219.3A22$697.B$696.3B$
681.A13.4B$681.3A10.4B$684.A8.4B$683.2A7.4B$190.B492.5B3.4B$189.2B
494.3B2.4B$174.A13.3B484.2A7.9B$174.3A10.4B484.A8.8B$177.A8.4B482.2A.
A.B3.10B$176.2A7.4B483.A2.3AB.2B2A2BD4B$176.5B3.4B133.2A119.3D2.4D.D
5.2D2.D2.D207.2A2.BA3B2A2BDBD2B$178.3B2.4B133.B2A2B2.2A113.D2.D.D4.D
4.D2.D.D2.D209.4A7B2D3B116.4B$168.2A7.9B132.B2.4B.B.A113.D2.D.3D2.D4.
4D.4D209.A.2B3.7B.B2A115.4B$168.A8.8B131.11B.A.2A110.D2.D.D4.D4.D2.D
4.D210.3AB2.7B.BA.A115.4B$165.2A.A.B3.10B133.9B.2A.2A110.3D2.4D.4D.D
2.D.3D2.2D210.A4.4B5.A116.4B$165.A2.3AB.2B2A2BD4B134.10B140.D205.5A5.
4B5.2A116.4B$166.2A2.BA3B2A2BDBD2B128.2A5.6B142.D206.A10.4B123.4B$
168.4A7B2D3B129.A5.6B.2B3.B344.A9.4B7.A115.4B$168.A.2B3.7B.B2A127.A.A
B2.10B.2BA342.2A10.4B6.3A114.4B10.2A$169.3AB2.7B.BA.A127.2AB.13BA.A
354.4B8.A114.4B9.A$172.A4.4B5.A129.14B.BA109.D5.2D3.3D.D2.D6.3D.D2.D.
D2.3D6.D5.2D3.2D2.3D183.4B6.A.A114.4B10.A$167.5A5.4B5.2A128.14B112.D
4.D2.D.D4.D.D8.D2.D2.D.D.D9.D4.D2.D.D2.D.D2.D183.4B5.A.AB107.2A5.4B5.
5A$167.A10.4B134.11B115.D4.D2.D.D4.2D9.D2.4D.D2.2D7.D4.D2.D.D2.D.3D
185.4B5.A3B107.A5.4B4.A$169.A9.4B134.10B115.D4.D2.D.D4.D.D8.D2.D2.D.D
4.D6.D4.D2.D.D2.D.D188.4B6.4B105.A.AB.7B2.B3A$168.2A10.4B132.11B115.
4D2.2D3.3D.D2.D7.D2.D2.D.D.3D7.4D2.2D3.2D2.D3.2D184.4B5.6B104.2AB.7B
3.2B.A$181.4B132.9B38.2A142.D185.4B4.7B105.12B4A$182.B135.7B39.A.A
140.D187.4B2.8B.4B.B98.7B2A3BAB2.2A$315.11B40.A4.2A323.17B.B2A97.7B2A
2B.B3A2.A$314.11B37.4A.2A2.A2.A322.18B2A97.10B3.B.A.2A$314.11B37.A2.A
.A.A.A.2A322.16B.2B97.8B8.A$314.11B39.BABABA.A57.D.D.D.D.D259.5BD10B
99.9B7.2A$314.B3D4B2.B2A38.B2ABA.A70.D2.D.D2.D.D5.2D3.3D.D2.D5.D2.D.
4D.D3.D.3D5.D5.2D3.2D2.3D179.6BD8B99.4B2.3B$314.2BD4B3.BA.A38.2B.BA
64.D.D4.D2.D.2D.D.D4.D2.D.D4.D.D6.2D.D.D5.D.D3.D6.D4.D2.D.D2.D.D2.D
176.2AB.2B3D7B99.4B3.5B$314.2B3D2B6.A37.3B74.D2.D.D.2D.D4.D2.D.D4.2D
7.D.2D.3D4.D4.D6.D4.D2.D.D2.D.3D138.B37.A.AB2.11B98.4B7.2A$314.6B7.2A
27.2A6.4B65.D3.D4.D2.D.D2.D.D4.D2.D.D4.D.D6.D2.D.D5.D.D3.D6.D4.D2.D.D
2.D.D138.4B36.A5.10B3.2A93.4B8.A$313.7B37.A6.B2A3B73.2D2.D2.D.4D2.2D
3.3D.D2.D5.D2.D.4D.D3.D2.D6.4D2.2D3.2D2.D138.6B33.2A5.2B2A6B3.A93.4B
10.3A$312.8B37.A.AB3.B2A3B61.D5.D187.2A26.9B37.3B2A6B4.A91.4B13.A$
311.8B39.2AB.10B254.A4.3B16.13B37.10B3.2A90.4B$310.9B41.13B56.D7.D
188.A.A5B14.16B36.8B.B2A93.3B$309.2A2B.6B40.5B3D6B253.2A6B13.16B35.7B
3.B2AB2A90.2B$308.A.AB.7B40.7BD7B52.D201.6B6.B5.17B35.6B6.B.A91.B$
308.A4.6B43.4BD3B2.4B254.6B.B2.25B35.6B4.2A3.A$307.2A4.6B43.6B5.4B
252.38B33.7B2.A2.4A$313.6B42.9B4.4B251.39B31.8B.A.A.A$312.8B40.4B4.2A
5.4B251.39B30.7B3.A2.A.2A$313.8B38.4B5.A7.3B248.2B.40B20.2A7.6B7.A.A$
312.9B37.4B7.3A5.2B247.2A4B2A37B20.A6.2B3D2B6.2A2.A$312.9B36.4B10.A6.
B247.2AB.2B2A6B3.24B.4B19.A.AB3.4BD2B3.A.A2.A.A$312.10B34.4B267.B2.5B
2.B5.24B2.4B19.2AB2.4B3DB3.2A2.A.A$312.5B2A3B307.6B8.23B4.3B21.11B8.A
$254.2A56.5B2A4B3.2A301.4B10.23B5.2B21.11B$253.B2AB11.2A.A.2A37.11B3.
A302.2B2AB8.20B2.B7.B21.11B$254.3B4.A.2A.A2.A.2A2.A36.4BD7BA.A300.2AB
.2A8.20B32.11B$253.B.B5.2A.A.2A.A4.A.A13.A23.B3D4B2.2A300.A.AB11.15B.
2B35.7B.2B$253.5B8.B2.5A.A12.3A17.2A4.D2B2D2B11.2A292.A12.2AB.2B3D4B.
3B38.11B$253.6B6.2ABA4.A13.A20.A5.6B11.B2AB290.2A11.A.AB.3BD4B44.10B$
253.8B4.2A.A.A3.A12.2A20.3A2.6B5.B6.2B304.A5.2B3D2B44.12B$254.13B2.A.
A3.A9.4B22.A9B3.3B4.2B76.4B189.2A33.2A5.7B45.13B$252.13B5.A3.2A8.3B
26.21B74.4B189.B2AB11.2A.A.2A20.7B43.17B$251.15B18.4B25.21B73.4B191.
3B4.A.2A.A2.A.2A2.A18.8B42.18B$251.15B3.2B12.5B25.6B.17B5.B63.4B191.B
.B5.2A.A.2A.A4.A.A16.8B42.2B2A13B.B2A$250.17B.4B11.6B24.5B.28B58.4B
192.5B8.B2.5A.A17.8B43.B2A6B.4B3.BA.A$250.29B2.8B23.35B57.4B193.6B6.
2ABA4.A17.2AB2.6B41.8B4.B8.A$249.9B2D2B2A11BD14B22.36B55.4B194.8B4.2A
.A.A3.A15.A.AB.7B41.6B15.2A$248.9BDBD2B2A9B3D13B23.35B55.4B196.13B2.A
.A3.A4.A9.A4.6B42.7B$247.2AB3.6BD13BDBD4B.7B18.B4.36B54.4B195.13B5.A
3.2A4.3A5.3A4.6B43.6B$246.A2.A4.19BD15B16.3B3.35B2A52.4B195.15B3.B13.
A3.A7.6B42.6B$245.A.2A5.6B3.B2.2B2.19B14.6B2.28B.B4.BABA50.4B196.15B
3.2B11.2A.B.2A5.8B42.5B$226.2B17.A7.6B14.17B7.4B2.7B.26B11.A49.4B196.
17B.4B10.7B6.8B41.6B$225.4B15.2A6.9B14.15B.2B2.29B.11B12.2A47.4B197.
29B5.3B7.9B41.6B$226.4B21.4B4.2A15.22BD25B2.13B57.4B197.9B2D2B2A11BD
4B3.5B6.9B41.7B$227.4B19.4B5.A16.8B.13BDBD3B2A18B3.13B55.4B197.9BDBD
2B2A9B3D4B2.7B5.10B40.2B3D2B$228.4B10.A6.4B7.3A11.8B3.2B2A9B3D3B2A19B
3.12B54.4B197.2AB3.6BD13BDBD4B.9B4.5B2A3B39.3BD4B$229.4B7.3A5.4B10.A
11.2A3.B5.2B2A11BD24B3.B2D9B53.4B197.A2.A4.19BD16B4.5B2A4B3.2A33.2B3D
3B$230.4B5.A7.4B24.A10.40B3.2D5B3DB52.4B197.A.2A5.6B3.B2.2B2.20B4.11B
3.A33.8B$231.4B4.2A5.4B22.3A12.B.3B.B5.26B6.6BD2B51.4B198.A7.6B14.20B
.4BD7BA.A31.B2.7B$232.9B4.4B23.A28.B2.20B8.3B3D2B50.4B198.2A6.9B14.
20B.B3D4B2.2A30.4B.9B$233.6B5.4B55.20B.B.B6.7B49.4B206.4B4.2A15.20BD
2B2D2B36.7B2A4B$233.4BD3B2.4B55.24B2A6.7B47.4B206.4B5.A15.27B35.9B2A
5B$231.7BD7B57.23B2A6.8B5.2A38.4B206.4B7.3A12.27B35.17B$231.5B3D6B58.
B.5B2.12B.2B8.8B4.2A37.4B207.3B10.A13.26B35.16B23.A$231.13B61.4B3.13B
10.8B42.4B235.24B.B2A33.15B11.2A11.3A$229.2AB.10B71.11B.B7.8B42.4B
238.22B.BA.A33.13B11.A.A14.A$228.A.AB3.B2A3B73.12B2A6.9B6.A33.4B237.
5B.15B7.A25.A8.11B12.A15.2AB$228.A6.B2A3B73.10B.B2A7.9B4.A.A31.4B238.
2AB4.14B7.2A24.3A6.15B7.2A15.4B$227.2A6.4B73.2AB.6B4.B8.10B4.A31.4B
240.A4.14B37.A3.20B4.B4.7B.B4.4B19.A$236.3B72.A.AB.4B15.6B.4B4.3A27.
4B238.3A3.A.2AB.2B.6B37.2A3.25B4.13B.4B16.3A$237.2B.BA69.A5.5B12.8B.
4B5.A26.4B239.A2.4AB2AB5.5B37.32BD26B8.A$236.B2ABA.A67.2A8.2A11.8B3.
4B30.4B243.A4.B8.3B40.31BD21BD4B7.2A$235.BABABA.A77.A12.9B3.4B28.4B
245.3A.2A8.2B38.33B2D18B3D4B2.B.5B4.B$233.A2.A.A.A.A.2A75.3A9.9B4.4B
26.4B248.2A2.A46.33B2D2B2A15BDBD4B.6B5.2B$233.4A.2A2.A2.A77.A8.10B5.
4B24.4B46.B205.2A46.26B.6BD3B2A15BD14B3.4B$237.A4.2A88.3B2A5B6.4B22.
4B47.2B13.A182.2A54.27B.16B3.2B2.24B$235.A.A88.2A3.4B2A5B7.4B20.4B48.
3B10.3A181.B2AB11.2A.A.2A33.2AB.29B2.10B11.21B.B$235.2A38.4B48.A3.11B
8.4B18.4B49.4B8.A185.3B4.A.2A.A2.A.2A2.A31.A.AB.28B4.6B16.20B2A$274.
4B49.A.A7BD4B9.4B16.4B51.4B7.2A183.B.B5.2A.A.2A.A4.A.A30.A5.27B5.3B
19.19B2A$273.4B51.2A2.4B3DB12.4B14.4B53.4B3.5B183.5B8.B2.5A.A30.2A5.
7B.19B5.B21.20B$272.4B57.2B2D2BD13.4B12.4B55.4B2.3B185.6B6.2ABA4.A6.A
9.A23.3B.3B.4B3.12B3.2A19.22B$271.4B59.6B14.4B10.4B57.9B7.2A175.8B4.
2A.A.A3.A5.3A5.3A22.2B2.3B3.B4.14B2.A20.2A3.B.8B2.3B$270.4B60.7B14.4B
8.4B59.8B8.A176.13B2.A.A3.A7.A3.A16.A7.B2AB.B2AB6.14B4.3A18.A6.8B.B.
2B$269.7B57.7B5.2A9.4B6.4B34.A26.10B3.B.A.2A171.13B5.A3.2A6.2A.B.2A
13.3A8.2A3.2A6.14B7.A15.3A10.5B.BA2.A$269.9B55.8B3.A.A10.4B4.4B33.3A
26.4BD2B2A2B.B3A2.A170.15B3.B12.7B12.A22.16B23.A12.4B3.4A$268.11B54.
8B3.A13.4B2.4B33.A29.2BDBD2B2A3BAB2.2A171.15B3.2B13.3B14.2A20.2C15B
36.3B$265.13B55.9B.2A14.8B28.2B4.2A28.3B2D7B4A172.17B.4B11.6B13.B20.
2C15B38.2B3.2A$264.14B54.11B17.8B27.8B3.B22.2AB.7B3.2B.A172.29B4.6B2.
2B9.3B17.19B.B34.BA2B2.2A$263.16B52.12B18.4B.3B12.2A11.7B4.4B15.2A2.A
.AB.7B2.B3A172.9B2D2B2A11BD4B2.7B.4B7.6B14.21B2A33.A.A$263.17B51.12B
17.9B12.A12.9B.6B15.A2.A5.4B4.A174.9BDBD2B2A9B3D4B2.16B2.10B10.20B.B
2A34.A$262.18B44.2A6.10B17.13B6.BA.A11.10B.6B13.A2.3A5.4B5.5A168.2AB
3.6BD13BDBD4B.30B3.2B2.20B4.B$262.19B44.A7.11B15.13B2.3B.B2A11.19B12.
3A7.4B10.A167.A2.A4.19BD26BD3B2A15BD16B$261.20B19.A24.A.AB.14B15.20B
14.19B14.A5.4B9.A168.A.2A5.6B3.B2.2B2.30B2D2B2A15BDBD4B.9B$260.20B20.
3A23.2AB.13B2A14.20B16.17B13.2A4.4B10.2A167.A7.6B14.28B2D18B3D4B2.7B$
261.21B21.A24.15B2A15.18B18.15B14.9B6.2A171.2A6.9B14.26BD21BD4B2.7B$
261.21B20.2A23.15B.B18.17B17.17B14.6B7.A179.4B4.2A15.24BD26B4.6B$263.
19B20.B8.A16.14B20.19B13.22B2.2B2.B3.6B5.2A.A178.4B5.A15.22B.B3.18B
10.7B$264.17B19.3B6.3A14.2AB.11B19.2AB.20B2.2B3.21BD19B4.A2.A178.4B7.
3A12.7B2.11B7.7B.B.7B12.6B$264.18B16.6B4.A16.A.AB3.9B18.A.AB4.13BD24B
.4BDBD13BD6B3.B2A179.3B10.A10.2AB.3B6.4B.3B17.4B.2B13.7B$264.21B10.
10B3.2A15.A8.8B17.A6.12BDBD23B2.4B3D9B2A2BDBD9B180.2B21.A.AB9.B2A2B4.
A15.4B17.6B$265.22B2.2B3.16B14.2A9.7B16.2A4.2AB.2B.B.5B3D23B2.4BD11B
2A2B2D9B181.B22.A13.2A6.3A12.4B18.6B$265.18BD15B2A3BD3B24.11B20.A.AB
7.4BD24B4.29B204.2A24.A10.4B18.7B$267.14BDBD15B2A2B2D5B21.12B20.A11.
29B10.4B.17B229.2A9.4B19.2A5B$257.D10.13B3D18B2D6B21.12B19.2A12.4B2.
4B.16B12.2B3.15B240.4B7.2A11.BA2.B$268.13BD21BD6B12.A8.11B35.4B2.3B5.
12B13.B3.15B239.4B4.A3.2A9.3A$247.D7.D12.36BD7B9.A.A2.2A3.B3D4B.4B34.
3B3.4B6.9B7.2A3.A5.13B239.4B4.A.A13.A$268.15B2.4B.13B.9B7.A.A2.A.A3.
2BD4B4.2A42.2A5.11B6.A3.A.A2.13B240.4B4.A.A$247.D5.D14.6B4.3B5.3B5.B.
19B5.A2.2A6.2B3D2B4.A38.2A3.A5.2AB.7B8.A3.A.A.2A4.8B238.4B5.A$267.7B
5.4B4.4B12.14B4.A.A7.6B6.3A35.A5.3A.A.AB2.4B11.A4.AB2A6.6B237.4B5.2A$
247.D3.D16.6B7.2A6.2A11.15B3.2A.A2.A3.7B8.A36.3A4.A.A5.2B2AB8.A.5A2.B
8.5B236.4B$269.6B6.A7.A12.14B7.A.A.A.8B47.A5.2A7.2A8.A.A4.A.2A.A.2A5.
B.B235.4B$247.D.D19.6B7.3A5.3A9.13B5.4A2.A.8B74.A2.2A.A2.A.2A.A4.3B
235.4B$268.8B8.A7.A6.15B6.A3.2A4.6B75.2A.A.2A11.B2AB233.4B48.B13.A$
247.D.D.D.D.D13.6B17.A.AB2.15B9.A.B6.6B93.2A233.4B49.2B10.3A$268.7B
18.2AB.17B7.2AB2AB3.7B312.A14.4B50.3B8.A$266.11B18.19B10.2AB.8B313.3A
4.4B3.4B51.4B7.2A$264.9B2A2B.B15.19B8.2A3.10B316.A2.6B.4B53.4B3.5B$
264.9B2A3B2A15.20B2.2A2.A4.6B2A3B314.2A2.10B55.4B2.3B$264.14B2A13.2AB
.16B2A.A.A3.A3.6B2A2B5.2A303.A4.13B57.9B7.2A$225.3D2.2D2.D2.D2.3D.3D.
3D14.14B13.A.AB2.13B.B2ABA4.2A3.10B5.A304.3A4.11B58.8B8.A$224.D4.D2.D
.2D.D.D5.D2.D2.D13.3B.2B2.B2.5B11.A6.11B4.B2.A7.11B2.BA.A307.A2.13B
58.10B3.B.A.2A$224.D4.D2.D.D.2D2.2D3.D2.3D14.2A5.3B4.2A10.2A7.11B2.2A
.2A7.7B3D2B.B2A307.2A2.9B.4B57.4BD2B2A2B.B3A2.A$224.D4.D2.D.D2.D4.D2.
D2.D.D15.A5.B2AB3.A17.14B3.A.A7.8BD6B7.D5.2D3.3D.D2.D283.3B.15B56.2BD
BD2B2A3BAB2.2A$225.3D2.2D2.D2.D.3D3.D2.D2.D11.3A7.2A5.3A13.16B2.A.A6.
10BD5B7.D4.D2.D.D4.D.D286.13B.4B55.3B2D7B4A$263.A18.A13.13B.B2A.2A4.
2B.16B7.D4.D2.D.D4.2D286.13B3.4B52.2AB.7B3.2B.A$287.A8.13B.BA.A5.2A
18B7.D4.D2.D.D4.D.D285.11B6.4B50.A.AB.7B2.B3A$286.A.A2.2A3.B3D4B.2B6.
A5.2AB.17B6.4D2.2D3.3D.D2.D285.10B7.4B49.A5.4B4.A$224.3D2.4D2.3D.D.3D
2.4D35.A.A2.A.A3.2BD4B10.2A5.B.4B.8B2.4B308.11B8.4B47.2A5.4B5.5A$224.
D2.D.D4.D4.D.D2.D.D38.A2.2A6.2B3D2B24.7B4.4B308.8B11.4B52.4B10.A$224.
3D2.3D2.D4.D.3D2.3D37.A.A7.6B26.6B5.4B306.9B12.4B50.4B9.A$224.D.D2.D
4.D4.D.D4.D38.2A.A2.A3.7B28.4B6.4B304.11B12.4B48.4B10.2A$224.D2.D.4D
2.3D.D.D4.4D38.A.A.A.8B30.3BA5.4B302.12B13.4B46.4B$285.4A2.A.8B32.BA.
A309.13B14.4B44.4B$285.A3.2A4.6B33.A.A308.13B16.4B42.4B$287.A.B6.6B
33.A308.4B3D4B.4B15.4B40.4B$286.2AB2AB3.7B34.3A305.5BD4B4.2A16.4B$
289.2AB.8B37.A305.2B.2B3D2B4.A18.4B$286.2A3.10B340.2A4.6B6.3A16.4B$
286.A4.6B2A3B338.A.A3.7B8.A17.4B$287.A3.6B2A2B5.2A332.A4.8B27.4B$286.
2A3.10B5.A332.2A3.8B29.4B$290.11B2.BA.A337.8B30.4B$290.7B3D2B.B2A336.
2AB2.6B30.4B$289.8BD6B337.A.AB.7B31.4B$288.10BD5B337.A4.6B33.4B$285.
2B.16B336.2A4.6B34.4B$284.2A18B335.A6.6B35.4B$284.2AB.17B334.3A3.8B
35.4B$285.B.4B.8B2.4B336.A2.8B5.B30.4B$292.7B4.4B334.2AB.8B4.3B30.4B$
293.6B5.4B333.13B3.5B29.4B$295.4B6.4B334.11B2.8B28.4B$297.3BA5.4B332.
22B29.4B$298.BA.A7.2A329.23B31.4B$299.A.A7.A.A328.23B32.4B$300.A8.A
329.2A22B33.4B$301.3A335.2A22B34.4B$303.A336.B.19B.B2A33.4B$642.19B.B
A.A33.4B$643.B3.B.10B6.A34.4B$278.D2.D.D2.D.D5.2D3.3D.D2.D344.10B4.2A
34.4B$278.D2.D.2D.D.D4.D2.D.D4.D.D346.10B40.4B241.D.D.D.D.D$278.D2.D.
D.2D.D4.D2.D.D4.2D344.14B40.4B$278.D2.D.D2.D.D4.D2.D.D4.D.D342.14B42.
4B239.D.D$279.2D2.D2.D.4D2.2D3.3D.D2.D341.14B43.4B$639.A8.13B45.4B
237.D3.D$638.A.A2.2A3.B3D7B48.3B$637.A.A2.A.A3.2BD4B.2B50.2B237.D5.D$
637.A2.2A6.2B3D2B54.B$638.A.A7.6B293.D7.D$637.2A.A2.A3.7B$640.A.A.A.
8B303.D$637.4A2.A.8B$637.A3.2A4.6B$639.A.B6.6B$638.2AB2AB3.7B$641.2AB
.8B$638.2A3.10B308.2C$638.A4.6B2A3B307.2C$639.A3.6B2A2B5.2A$638.2A3.
10B5.A2.A$642.11B2.BA.A.2A10.4B$642.7B3D2B.B2A.A11.4B$641.8BD6B3.A10.
4B$640.10BD5B3.3A7.4B$637.2B.16B6.A5.4B273.D.D.D.D.D$636.2A18B5.2A4.
4B$636.2AB.17B4.9B281.D.D$637.B.4B.8B2.4B5.6B$644.7B4.4B2.3BD4B280.D
3.D$645.6B5.7BD7B$647.4B6.6B3D5B276.D5.D$649.3BA5.13B$650.BA.A5.10B.B
2A272.D7.D$651.A.A7.3B2AB3.BA.A$652.A8.3B2AB6.A269.D$653.3A7.4B6.2A$
655.A7.3B$660.AB.2B$659.A.AB2AB$659.A.ABABAB$656.2A.A.A.A.A2.A$656.A
2.A2.2A.4A$658.2A4.A$664.A.A$665.2A95$327.2A$327.A.A$329.A4.2A$325.4A
.2A2.A2.A$325.A2.A.A.A.A.2A$327.BABABA.A$328.B2ABA.A$329.2B.BA$328.3B
7.A$319.2A6.4B7.3A$50.D269.A6.B2A3B8.A$320.A.AB3.B2A3B7.A.A$40.D7.D
272.2AB.10B5.A.AB$323.13B5.A3B$40.D5.D276.5B3D6B6.4B$323.7BD7B5.6B$
40.D3.D280.4BD3B2.4B4.7B$325.6B5.4B2.8B.4B.B$40.D.D281.9B4.17B.B2A$
323.4B4.2A5.18B2A$40.D.D.D.D.D273.4B5.A6.16B.2B$321.4B7.3A3.5BD10B$
320.4B10.A3.6BD8B$319.4B11.A.2AB.2B3D7B$4D.D4.3D3.2D2.D3.D293.4B10.2A
.A.AB2.11B$D4.D4.D2.D.D2.D.D3.D307.A2.A5.10B3.2A$3D2.D4.3D2.D2.D.D.D.
D309.2A5.2B2A6B3.A$D4.D4.D2.D.D2.D.2D.2D6.2C307.3B2A6B4.A$4D.4D.3D3.
2D2.D3.D6.2C308.10B3.2A$341.8B.B2A$340.7B3.B2AB2A$340.6B6.B.A$341.6B
4.2A3.A$341.8B.A2.4A$36.D303.8B.A.A.A$340.7B3.A2.A.2A$38.D7.D293.6B7.
A.A$284.B54.2B3D2B6.2A2.A$40.D5.D237.2B50.2B.4BD2B3.A.A2.A.A$284.3B
48.7B3DB3.2A2.A.A$42.D3.D237.4B45.13B8.A$285.4B43.14B$44.D.D239.4B42.
14B348.2A$287.4B40.14B349.A.A$38.D.D.D.D.D241.4B40.10B352.A$289.4B34.
2A4.10B$290.4B34.A6.10B.B3.B$291.4B33.A.AB.19B$292.4B33.2AB.19B.B336.
A$293.4B34.22B2A335.3A$294.4B33.22B2A338.A$295.4B32.23B338.A.A$296.4B
31.23B338.A.AB$297.4B29.22B333.3B5.A3B$298.4B28.8B2.11B334.4B6.4B$
299.4B29.5B3.13B333.4B5.6B$300.4B30.3B4.8B.B2A334.4B4.7B$301.4B30.B5.
8B2.A336.4B2.8B.4B.B$302.4B35.8B3.3A334.17B.B2A$303.4B35.6B6.A335.18B
2A$304.4B34.6B4.2A336.16B.2B$305.4B33.6B4.A337.5BD10B$306.4B31.7B.BA.
A337.6BD8B$307.4B30.6B2.B2A336.2AB.2B3D7B$308.4B30.8B337.A.AB2.11B$
309.4B29.8B3.2A332.A5.10B3.2A$310.4B27.8B4.A332.2A5.2B2A6B3.A$311.4B
17.A8.7B3.A.A338.3B2A6B4.A$312.4B16.3A6.6B4.2A340.10B3.2A$313.4B18.A
4.2B3D2B.2B305.A37.8B.B2A$314.4B16.2A4.4BD5B305.3A34.7B3.B2AB2A$271.
4B40.4B15.4B.4B3D4B308.A33.6B6.B.A$270.4B42.4B16.13B308.A.A33.6B4.2A
3.A$269.4B44.4B14.13B309.A.AB32.8B.A2.4A$268.4B46.4B13.12B302.4B5.A3B
30.8B.A.A.A$255.2A10.4B48.4B12.11B304.4B6.4B28.7B3.A2.A.2A$256.A9.4B
50.4B12.9B306.4B5.6B26.6B7.A.A$254.A10.4B52.4B11.8B308.4B4.7B24.2B3D
2B6.2A2.A$254.5A5.4B5.2A47.4B8.11B308.4B2.8B.4B.B5.2A10.4BD2B3.A.A2.A
.A$259.A4.4B5.A49.4B7.10B310.17B.B2A5.A6.2B.4B3DB3.2A2.A.A$256.3AB2.
7B.BA.A50.4B6.11B310.18B2A5.A.AB.13B8.A$255.A.2B3.7B.B2A52.4B3.13B
310.16B.2B4.2A.2AB.13B13.A18.A$255.4A7B2D3B55.4B.13B311.5BD10B6.A.A2.
16B13.3A5.2A7.3A$253.2A2.BA3B2A2BDBD2B56.15B.3B309.6BD8B7.A.A3.14B17.
A3.B2AB5.A$252.A2.3AB.2B2A2BD4B57.4B.9B2.2A307.2AB.2B3D7B7.2A.2A2.11B
7.2A10.2A4.3B5.2A$252.2A.A.B3.10B58.13B2.A307.A.AB2.11B7.A2.B4.11B6.A
11.5B2.B2.2B.3B$255.A8.8B58.11B4.3A304.A5.10B3.2A4.AB2AB.13B2.BA.A13.
14B$255.2A7.9B57.13B4.A303.2A5.2B2A6B3.A3.A.A.2A16B.B2A13.2A14B$265.
3B2.4B55.10B2.2A314.3B2A6B4.A2.2A2.20B15.2A3B2A9B$263.5B3.4B53.4B.6B
2.A316.10B3.2A8.19B15.B.2B2A9B$263.2A7.4B51.4B3.4B4.3A313.8B.B2A10.
19B18.11B$264.A8.3B50.4B14.A312.7B3.B2AB2A7.17B.B2A18.7B$261.3A10.2B
49.4B233.2A93.6B6.B.A9.15B2.BA.A17.6B$261.A13.B48.4B233.B2AB11.2A.A.
2A75.6B4.2A3.A6.15B6.A7.A8.8B$323.4B235.3B4.A.2A.A2.A.2A2.A74.8B.A2.
4A5.13B9.3A5.3A7.6B$322.4B235.B.B5.2A.A.2A.A4.A.A8.2A7.2A5.A47.8B.A.A
.A7.14B12.A7.A6.6B$321.4B236.5B8.B2.5A.A8.B2A2B5.A.A4.3A36.A8.7B3.A2.
A.2A3.15B11.2A6.2A7.6B$313.2A5.4B237.6B6.2ABA4.A11.4B2.BA.A.3A5.A35.
3A6.6B7.A.A4.14B12.4B4.4B5.7B$313.A5.4B238.8B4.2A.A.A3.A8.7B.B2A5.A3.
2A38.A4.2B3D2B6.2A2.A5.19B.B5.3B5.3B4.6B$311.A.A4.4B240.13B2.A.A3.A6.
11B5.2A42.2A4.4BD2B3.A.A2.A.A7.9B.13B.4B2.15B$296.A13.A.A4.4B239.13B
5.A3.2A7.9B6.4B3.3B34.4B.4B3DB3.2A2.A.A9.7BD36B$294.3A9.2A3.A4.4B239.
15B3.B13.12B5.3B2.4B35.11B8.A12.6BD21BD13B$290.B2.AB11.2A7.4B240.15B
3.2B12.16B.4B2.4B12.2A19.12B21.6B2D18B3D13B$288.5B2A19.4B9.2A229.17B.
4B10.29B11.A20.12B21.5B2D2B2A15BDBD14B$288.7B18.4B10.A24.2A204.29B4.
24BD4B7.BA.A20.11B24.3BD3B2A15BD18B$288.6B18.4B12.3A6.2A13.A22.B181.
9B2D2B2A11BD4B2.23B3D5B.B.2B.B2A4.2A16.7B9.2A14.16B3.2B2.22B$288.6B
17.4B15.A4.2B2AB9.BA.A21.2B180.9BDBD2B2A9B3D4B2.23BDBD12B6.A17.8B8.A
15.2A3.10B10.21B$287.7B13.2B.4B17.3B.4B6.3B.B2A10.A10.3B179.2AB3.6BD
13BDBD4B.24BD13B4.BA.A18.9B3.BA.A16.A4.6B16.18B$288.6B12.7B.B.7B7.11B
2.7B12.3A7.4B178.A2.A4.19BD21B3.2B2.20B.B2A19.11B.B2A14.3A6.3B19.17B$
288.7B10.18B3.B.22B15.A5.4B178.A.2A5.6B3.B2.2B2.22B13.19B20.14B16.A8.
B20.19B$288.6B4.26BD24B15.2A4.4B179.A7.6B14.17B17.17B18.B.15B23.2A20.
21B$288.7B2.4BD21BD26B14.9B6.2A171.2A6.9B14.15B18.18B15.2A15B24.A21.
21B$288.7B2.4B3D18B2D28B14.6B7.A167.2A10.4B4.2A13.17B16.20B14.2A13B.B
2A23.3A20.20B$287.9B.4BDBD15B2A2B2D30B2.2B2.B3.6B5.2A.A168.A9.4B5.A
14.19B14.20B15.14B.BA.A24.A19.20B$287.16BD15B2A3BD26BD19B4.A2.A167.A
10.4B7.3A12.19B11.2AB.3B2.13B15.11B7.A44.19B$282.B4.20B2.2B3.30B.4BDB
D13BD6B3.B2A168.5A5.4B5.3A2.A13.6B.10B11.A.AB6.13B17.10B6.2A44.18B$
246.A34.2AB.20B10.10B2.16B2.4B3D9B2A2BDBD9B174.A4.4B5.A2.A15.6B.9B12.
A12.9B17.12B51.17B$245.A.A33.2A21B14.6B7.4B.7B2.4BD11B2A2B2D9B172.3AB
2.7B.BA.A2.2A15.4B4.7B11.2A12.3B.4B18.12B52.16B$240.2A2.2BAB34.B.19B
17.3B9.2B2.6B4.29B172.A.2B3.7B.B2A22.B3.8B27.8B17.11B54.14B$240.2A3.
2B38.15B2C20.B13.6B11.4B.17B172.4A7B2D3B28.2A4.2B28.8B14.2A.9B55.13B$
246.3B36.15B2C20.2A14.3B13.2B3.15B171.2A2.BA3B2A2BDBD2B29.A33.4B2.4B
13.A3.8B54.11B$238.4A3.4B12.A23.16B22.A12.7B12.B3.15B170.A2.3AB.2B2A
2BD4B26.3A33.4B4.4B10.A.A3.8B55.9B$238.A2.AB.5B10.3A15.A7.14B6.2A3.2A
8.3A13.2A.B.2A6.2A3.A5.13B171.2A.A.B3.10B26.A34.4B6.4B9.2A5.7B57.7B$
239.2B.B.8B6.A18.3A4.14B6.B2AB.B2AB7.A16.A3.A7.A3.A.A2.13B176.A8.8B
59.4B8.4B14.7B60.4B$240.3B2.8B.B3.2A20.A2.14B4.B3.3B2.2B22.3A5.3A5.A
3.A.A.2A4.8B175.2A7.9B57.4B10.4B14.6B59.4B$238.22B19.2A3.12B3.4B.3B.
3B23.A9.A6.A4.AB2A6.6B185.3B2.4B55.4B12.4B13.D2B2D2B57.4B$238.20B21.B
5.19B.7B5.2A30.A.5A2.B8.5B183.5B3.4B53.4B14.4B12.B3D4B2.2A51.4B$237.
2A19B19.3B5.27B5.A30.A.A4.A.2A.A.2A5.B.B183.2A7.4B51.4B16.4B9.4BD7BA.
A49.4B$237.2A20B16.6B4.28B.BA.A31.A2.2A.A2.A.2A.A4.3B185.A8.4B49.4B
18.4B8.11B3.A48.4B38.2A$238.B.21B11.10B2.29B.B2A33.2A.A.2A11.B2AB181.
3A10.3B48.4B20.4B7.5B2A4B3.2A88.A.A$240.24B2.2B3.16B.27B54.2A182.A13.
2B47.4B22.4B6.5B2A3B88.2A4.A$239.4B3.14BD15B2A3BD6B.26B46.2A205.B46.
4B24.4B5.10B8.A77.A2.A2.2A.4A$240.2B5.6B.4BDBD15B2A2B2D33B46.A2.2A
248.4B26.4B4.9B9.3A75.2A.A.A.A.A2.A$240.B4.5B.B2.4B3D18B2D33B38.2B8.
2A.3A245.4B28.4B3.9B12.A77.A.ABABAB$245.2A7.4BD21BD31B40.3B8.B4.A243.
4B30.4B3.8B11.2A8.2A67.A.AB2AB$246.A8.26BD32B37.5B5.B2AB4A2.A239.4B
26.A5.4B.8B12.5B5.A69.AB.2B$243.3A16.4B.13B4.25B3.2A37.6B.2B.B2A.A3.
3A238.4B27.3A4.4B.6B15.4B.BA.A72.3B$243.A19.4B4.B.7B4.B4.20B3.A37.14B
4.A240.4B31.A4.10B8.B4.6B.B2A73.4B6.2A$264.4B15.2A7.15B6.3A24.2A7.14B
4.B2A238.4B31.A.A4.9B7.2AB.10B73.3B2AB6.A$265.B2A15.A12.11B8.A25.A7.
15B.5B237.4B33.A6.9B6.2A12B73.3B2AB3.BA.A$266.A14.A.A11.13B33.A.AB.
22B238.4B42.8B7.B.11B71.10B.B2A$267.3A11.2A11.15B33.2AB.24B25.2B208.
4B42.8B10.13B3.4B61.13B$269.A23.16B35.26B13.A10.3B207.4B37.2A4.8B8.2B
.12B2.5B.B58.6B3D5B$292.17B35.27B12.3A7.4B206.4B38.2A5.8B6.2A23B57.7B
D7B$293.5B2A9B35.27B15.A5.4B206.4B47.7B6.2A24B55.4B2.3BD4B$294.4B2A7B
36.2B2D2BD20B15.2A4.4B206.4B49.7B6.B.B.20B55.4B5.6B$294.9B.4B30.2A2.
4B3DB.20B14.9B6.2A198.4B50.2B3D3B8.20B2.B28.A23.4B4.9B$296.7B2.B31.A.
A7BD4B.20B14.6B7.A198.4B51.2BD6B6.26B5.B.3B.B12.3A22.4B5.2A4.4B$296.
8B33.A3.11B4.20B2.2B2.B3.6B5.2A.A197.4B52.B3D5B2C3.40B10.A24.4B7.A5.
4B$295.3B3D2B33.2A3.4B2A5B4.16BD19B4.A2.A197.4B53.9B2CB3.24BD11B2A2B
5.B3.2A11.A10.4B5.3A7.4B$295.4BD3B39.3B2A5B4.9B.4BDBD13BD6B3.B2A197.
4B54.12B3.19B2A3B3D9B2A2B3.8B11.3A7.4B6.A10.4B$295.2B3D2B40.10B5.7B2.
4B3D9B2A2BDBD9B197.4B55.13B3.18B2A3BDBD13B.8B16.A5.4B19.4B$295.7B41.
9B6.5B3.4BD11B2A2B2D9B197.4B57.13B2.25BD22B15.2A4.4B21.4B$296.6B41.9B
7.3B5.29B197.4B47.2A12.11B.29B2.2B.15B14.9B6.2A15.4B$296.6B41.8B6.7B
10.4B.17B196.4B49.A11.26B.7B2.4B7.17B14.6B7.A17.2B$297.5B42.8B5.2A.B.
2A11.2B3.15B196.4B50.ABAB4.B.28B2.6B14.19B2.2B2.B3.6B5.2A.A$297.6B42.
6B7.A3.A13.B3.15B195.4B52.2A35B3.3B16.15BD19B4.A2.A$296.6B43.6B4.3A5.
3A4.2A3.A5.13B195.4B54.36B4.B18.7B.4BDBD13BD6B3.B2A$296.7B42.6B4.A9.A
4.A3.A.A2.13B196.4B55.35B23.13B3D9B2A2BDBD9B$280.2A15.6B41.7B.BA.A15.
A3.A.A.2A4.8B194.4B55.36B22.14BD11B2A2B2D9B$281.A8.B4.8B41.6B2.B2A17.
A4.AB2A6.6B193.4B57.35B23.8B2.29B$281.A.AB3.4B.6B2AB43.8B17.A.5A2.B8.
5B192.4B58.28B.5B24.6B11.4B.17B$282.2AB.13B2A2B42.8B16.A.A4.A.2A.A.2A
5.B.B191.4B63.B5.17B.6B25.5B12.2B3.15B$284.18B42.8B18.A2.2A.A2.A.2A.A
4.3B191.4B73.21B25.4B18.15B$284.17B43.7B20.2A.A.2A11.B2AB189.4B74.21B
26.3B8.2A3.A5.13B$285.13B45.7B5.2A33.2A189.4B76.2B4.3B3.9BA22.4B9.A3.
A.A2.13B$287.12B44.2B3D2B5.A304.2B6.B5.6B2.3A20.2A12.A3.A.A.2A4.8B$
289.10B44.4BD3B.BA.A11.2A290.B2AB11.6B5.A20.A13.A4.AB2A6.6B$289.11B
38.3B.4B3D2B.B2A12.A292.2A11.2B2D2BD4.2A17.3A12.A.5A2.B8.5B$290.2B.7B
35.2B.15B11.BA.A300.2A2.4B3DB23.A13.A.A4.A.2A.A.2A5.B.B$290.11B32.20B
8.2A.B2A300.A.A7BD4B36.A2.2A.A2.A.2A.A4.3B$289.11B21.B7.B2.20B8.B2A2B
302.A3.11B37.2A.A.2A11.B2AB$289.11B21.2B5.23B10.4B301.2A3.4B2A5B56.2A
$280.A8.11B21.3B4.23B8.6B307.3B2A5B$279.A.A2.2A3.B3D4B2.B2A19.4B2.24B
5.B2.5B2.B267.4B34.10B$278.A.A2.A.A3.2BD4B3.BA.A19.4B.24B3.6B2A2B.B2A
247.B6.A10.4B36.9B$278.A2.2A6.2B3D2B6.A20.37B2A4B2A247.2B5.3A7.4B37.
9B$279.A.A7.6B7.2A20.40B.2B248.3B7.A5.4B38.8B$278.2A.A2.A3.7B30.39B
251.4B5.2A4.4B40.8B$281.A.A.A.8B31.39B251.4B4.9B42.6B$278.4A2.A2.7B
33.38B252.4B5.6B43.6B4.2A$278.A3.2A4.6B35.25B2.B.6B254.4B2.3BD4B43.6B
4.A$188.B91.A.B6.6B35.17B5.B6.6B254.7BD7B40.7B.BA.A$187.2B90.2AB2AB3.
7B35.16B13.6B2A253.6B3D5B40.6B.2B2A$186.3B93.2AB.8B36.16B14.5BA.A253.
13B41.9B$185.4B90.2A3.10B37.13B16.3B4.A254.10B.B2A39.8B$170.A13.4B91.
A4.6B2A3B37.9B26.2A255.3B2AB3.BA.A37.8B$170.3A10.4B93.A3.6B2A2B5.2A
33.6B284.3B2AB6.A37.7B$173.A8.4B93.2A3.10B5.A36.4B286.4B6.2A27.2A7.6B
$172.2A7.4B98.11B2.BA.A37.B288.3B37.A6.2B3D2B$172.5B3.4B99.7B3D2B.B2A
324.AB.2B38.A.AB3.4BD2B$174.3B2.4B99.8BD6B325.A.AB2AB38.2AB2.4B3DB$
164.2A7.9B99.10BD5B325.A.ABABAB39.11B$164.A8.8B97.2B.16B322.2A.A.A.A.
A2.A37.11B$161.2A.A.B3.10B97.2A18B322.A2.A2.2A.4A37.11B$161.A2.3AB.2B
2A7B97.2AB.17B323.2A4.A40.11B$162.2A2.BA3B2A7B98.B.4B.8B2.4B328.A.A
39.7B135.B$164.4A12B105.7B4.4B328.2A38.9B132.4B$164.A.2B3.7B.B2A104.
6B5.4B366.11B132.4B10.2A$165.3AB2.7B.BA.A105.4B6.4B365.10B134.4B9.A$
168.A4.4B5.A107.3BA5.4B364.11B134.4B10.A$163.5A5.4B5.2A107.BA.A5.4B
360.14B128.2A5.4B5.5A$163.A10.4B114.A.A6.4B356.AB.14B129.A5.4B4.A$
165.A9.4B114.A8.4B354.A.A13B.B2A127.A.AB.7B2.B3A$164.2A10.4B114.3A6.
4B10.2A342.A2B.10B2.BA.A127.2AB.7B3.2B.A$177.4B115.A7.4B9.A344.B3.2B.
6B5.A129.3B2D7B4A$178.4B123.4B10.A349.6B5.2A128.2BDBD2B2A3BAB2.2A$
179.4B116.2A5.4B5.5A346.10B134.4BD2B2A2B.B3A2.A$180.4B116.A5.4B4.A
347.2A.2A.9B133.10B3.B.A.2A$181.4B115.A.AB.7B2.B3A344.2A.A.11B131.8B
8.A$182.4B115.2AB.7B3.2B.A346.A.B.4B2.B132.9B7.2A$183.4B116.3B2D7B4A
346.2A2.2B2AB133.4B2.3B$303.2BDBD2B2A3BAB2.2A350.2A133.4B3.5B$303.4BD
2B2A2B.B3A2.A483.4B7.2A$303.10B3.B.A.2A482.4B8.A$302.8B8.A484.4B10.3A
$301.9B7.2A484.3B13.A$300.4B2.3B494.2B$299.4B3.5B492.B$298.4B7.2A$
297.4B8.A$296.4B10.3A$295.4B13.A$295.3B$296.B35$231.4B$232.4B$233.4B
489.4B$234.4B10.A478.4B$235.4B7.3A479.4B23.B$236.4B5.A483.4B21.2B$
237.4B4.2A5.B477.4B19.3B$238.9B4.2B478.4B10.A6.4B$239.6B5.4B478.4B7.
3A5.4B$239.4BD3B2.4B480.4B5.A7.4B$237.7BD7B482.4B4.2A5.4B$237.5B3D6B
484.9B4.4B$237.13B486.6B5.4B$235.2AB.10B487.8B2.4B$234.A.AB3.B2A3B
487.15B$234.A6.B2A3B487.14B$233.2A6.4B489.13B$242.3B487.2AB.10B$243.
2B.BA483.A.AB3.B2A3B$242.B2ABA.A482.A6.B2A3B$241.BABABA.A481.2A6.4B$
239.A2.A.A.A.A.2A487.3B$239.4A.2A2.A2.A488.2B.BA$243.A4.2A489.B2ABA.A
$241.A.A494.BABABA.A$241.2A493.A2.A.A.A.A.2A$736.4A.2A2.A2.A$740.A4.
2A$738.A.A$738.2A111$554.D2$556.D7.D2$558.D5.D15.D.D.D.D.D2$560.D3.D
21.D.D2$562.D.D19.D3.D2$556.D.D.D.D.D17.D5.D2$580.D7.D2$578.D4$571.2C
$571.2C!
#C [[ POI X 0 Y 0 Z -2 POITRANS 50  ]]
#C [[ POI X -166 Y -212 Z 1.85 POITRANS 50 ]]
#C [[ POI X -260 Y -295 Z 3.5 POITRANS 50 ]]
#C [[ POI X -185 Y -151 Z 3.5 POITRANS 50 ]]
#C [[ POI X -40 Y -204 Z 3.5 POITRANS 50 ]]
Hit keys Alt+1 through Alt+5 to look at POIs (points of interest) in this pattern.

Feel free to post design improvements, but really as soon as a delay loop is hooked up to the Lock and Unlock inputs, this would be ready to run through slsparse to get a destruction/reconstruction recipe.