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Spaceship Discussion Thread

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

Re: Spaceship Discussion Thread

Postby dvgrn » January 7th, 2018, 11:43 pm

dvgrn wrote:Just posted a p556 2-engine Cordership gun on Entity Valkyrie's thread. All the signals from the left-side shotgun come from one signal loop, in an unusual way involving quadri-Snarks, CP semi-Snarks (color-preserving) and CP-semi-cenarks.

Okay, here's a cleaner version of the p556 gun. This time it can be easily packed into a smaller space without getting into too many retiming difficulties. Someone else is welcome to do that -- I'm not going anywhere near it again until at least next weekend.

The whole right side is just a temporary placeholder thrown together in five minutes. It could be replaced by south-traveling Herschels feeding BNE edge shooters, possibly fed by another quad-signal loop (or even the same one?)

EDIT: Repaired the labels to match the different phase of the quad-signal loop.

x = 430, y = 278, rule = LifeHistory
366.A11.2A$365.A.A10.2A$357.A3.2A2.A.A$348.2A6.A.A2.A2.2A.2A$348.2A6.
A.A3.A.A$357.A.4A2.A.2A$359.A3.A.A.2A$358.A3.A.A$357.A3.A.A$357.2A3.A
$36.2A$37.A$36.A12.A$36.4A7.3A308.D11.2A$39.A6.A311.3D9.2A$34.3A9.2A
310.D.D24.2A$33.A2.A323.D23.A2.A$33.2A350.2A.A$51.A2.2A282.2A48.A$50.
A.A2.A282.2A48.2A$51.2A.A318.2A$53.A320.A$41.2A8.2A318.3A$40.A.A8.A
307.2A10.A11.3D$41.A11.A305.A.A21.D$52.2A307.A22.D$361.2A2$41.2A$42.A
$39.3A$39.A2$8.2A$8.A.A44.3A$11.A2.2A39.A362.2A$9.2A.A2.A40.A273.A11.
2A74.2A$8.A.A.2A315.A.A10.2A$9.A311.A3.2A2.A.A$2.2A308.2A6.A.A2.A2.2A
.2A67.2A$3.A308.2A6.A.A3.A.A71.A.A$3.A.A315.A.4A2.A.2A67.A17.3A$4.2A
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2A$321.2A3.A44.A11.2A11.2A11.D10.A$12.2A4.2A349.3A24.2A9.3D8.2A$12.A.
A3.A.A347.A38.D.D7.3A$13.A6.A347.2A37.D9.4A$3.2A15.2A300.D11.2A17.2A$
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2A185.2A48.A18.2A9.3D32.4A.2A$6.2A94.A.A10.2A185.2A48.2A17.2A11.D22.
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67.A12.3A$87.A5.A.A3.A.A233.3A67.2A13.A$87.2A5.A.4A2.A.2A217.2A10.A
11.3D30.A3.2A$96.A3.A.A.2A217.A.A21.D31.A.A3.A$95.A3.A.A223.A22.D29.A
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A2.2A3.A$101.A5.A91.A163.2A10.A.A$100.2A2.A.A87.2A2.2A8.3D152.2A11.A$
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9.2A42.A30.A2.2A3.D.D17.2D$182.A.A89.A.3DA8.2A42.2A30.2A5.D$189.2A84.
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55.A2.A8.2A$139.2A54.A83.A22.D41.A3.2A7.A.A$118.A20.A.A19.A26.7A.2A
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2A.A3.2A138.2A.A.A3.A12.2A$108.A11.2A11.2A11.D11.2A22.2A7.2A.2A142.2A
.A2.4A.A10.A$98.D7.3A24.2A9.3D35.A159.A.A3.A.A10.3A$96.D.D6.A38.D.D7.
A29.A18.4D131.2A.2A2.A2.A.A12.A$97.2D6.2A37.D9.4A22.5A18.D3.D131.A.A
2.2A3.A$90.2A11.3A50.3A21.A22.D3.D119.2A10.A.A$91.A10.3A52.3A23.4A16.
4D120.2A11.A$91.A.2A6.A2.2A53.2A22.A2.A4.2A10.D3.D128.2A$92.A2.A5.3A.
A50.A.2A31.2A10.D3.D128.2A$93.2A4.2A.A.2A50.3A3.D15.2A23.4D$98.A2.A
55.A4.3D13.A2.A.2A$97.6A42.2A16.D6.A9.2A.2A$98.A2.A44.A22.A.A$99.2A.A
.2A37.3A8.2A14.A$101.3A.A37.A11.A143.A$85.D7.4D4.A2.2A11.A3.2A29.3A
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D4.2A100.2A$112.A.A2.2A3.A30.2A6.3D108.A73.2A$100.2A10.A.A37.A.A7.D3A
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A.2A2.5A34.A164.2A$154.3A15.A13.A24.A.A162.2A$154.3A18.4A6.A.A24.2A
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16.2A.2A3.A47.A4.2A$116.A.A60.A.A46.2A6.2A$116.2A62.A52.2A.2A$212.2A
3.2D2.D12.A130.3D$212.2A4.3D11.A3.2A118.2A8.D$186.2A31.D12.4A2.A118.A
6.3D$186.A48.A.A.A114.3A$187.3A40.4A.A2.A115.A$189.A40.A2.A.A20.2A$
143.2A54.A35.2A8.3D8.A$92.2A49.2A55.2A32.A2.A.A5.D8.A.A39.C$92.A.A
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15.2A$86.2A131.D7.2A3.2A23.A.A89.2A15.2A$87.A92.A36.3D8.A27.2A.3A$87.
A.A9.2A79.3A44.A34.A$80.4D4.2A9.2A57.2A23.A7.2A35.3A25.2A.3A63.2A$80.
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2.A16.2A$82.2A.A.2A3.2A67.2A9.3D69.3A17.2A19.2C59.A.2A.A.A$82.A.2A.A
4.2A67.2A11.D11.2A98.2C62.A.A58.2A$87.A98.A13.A.A.A.A45.A94.2A2.A59.
2A$87.2A98.3A9.A.2A.2A.A43.A.A91.3A.2A$189.A9.A3.A3.A43.A.A90.A$198.
2A3.A.2A45.A92.3A.2A$169.A3.2A29.A51.2A89.A.2A40.2A$168.A.A3.A27.A.A
3.2A46.A.A70.3D58.A.A$164.2A.A.A3.A28.2A4.2A48.A61.2A8.D26.2A31.A$
164.2A.A4.A85.2A61.A6.3D26.2A7.2A21.2A7.2A$168.5A.A143.3A45.A31.2A$
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2A40.2A12.2A.A77.A157.2A.3A$111.A41.2A15.A78.A162.A$170.2A55.A19.3A
156.2A.3A$228.2A114.2A59.A2.2A$193.2A32.2A82.2A31.2A58.A.A$151.2A40.
2A92.C.C22.A73.A16.A.A.2A.A$151.A.A112.C.C18.2C23.A.A15.2A54.3A15.A2.
A.2A$153.A4.2A106.2C20.C24.2A15.2A57.A6.3D8.A$149.4A.2A2.A2.A105.C
120.2A8.D7.2A$149.A2.A.A.A.A.2A60.2A136.A36.3D3.A.A2.2A$152.A.A.A.A
64.A135.A.A41.2A2.A2.A$153.2A.A.A61.3A136.A.A46.2A$157.A62.A139.A$
192.A168.3A$143.2A47.3A8.3D151.A5.A25.A$144.A7.2A41.A8.D8.2A142.3A28.
2A$144.A.A5.2A40.2A8.3D6.A146.A23.A3.2A3.3A$145.2A67.3A94.2A46.A.A20.
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A$141.A29.3A51.A15.2A67.2A.A2.A16.2A46.3A7.3A$141.2A27.A53.2A84.A.2A.
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247.2A74.A.A36.A4.2A2.A2.A$248.A74.A.A46.2A$245.3A76.A$245.A79.3A$
327.A4$372.2A$372.2A9$357.2A$357.2A!
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dvgrn
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Re: Spaceship Discussion Thread

Postby calcyman » January 8th, 2018, 10:56 am

dvgrn wrote:The whole right side is just a temporary placeholder thrown together in five minutes. It could be replaced by south-traveling Herschels feeding BNE edge shooters, possibly fed by another quad-signal loop (or even the same one?)


Or, more simply, each of those pairs of guns producing 78-tick-separated G0 pairs can be replaced with a single gun containing two 78-tick-separated Herschels in the same loop:

x = 412, y = 296, rule = LifeHistory
36.2A$37.A$36.A12.A$36.4A7.3A$39.A6.A$34.3AB8.2A$33.A2.AB5.5B$33.2A2.
9B$37.10B3.BA2.2A$36.12B.BA.A2.A$35.16B2A.A$34.16B3.A$33.4B.3B2A8B2A$
32.4B3.BABA7B.A$31.4B5.BA7B4.A$30.4B8.7B3.2A$29.4B10.7B$28.4B9.5B.4B$
27.4B10.2A5.4B$26.4B12.A6.4B$25.4B10.3A8.4B$24.4B11.A11.4B$23.4B25.4B
$8.2A12.4B27.4B$8.A.A10.4B29.4B$11.A2.2A4.4B31.4B$9.2A.A2.A3.4B33.4B$
8.A.A.2A4.4B35.4B$8.BAB.B4.4B37.4B$2.2A5.5B2.4B39.4B$3.A6.9B41.2B2A$
3.A.AB2.6B2AB43.2A2B$4.2AB.7B2A45.BA2B$6.12B45.4B$6.12B46.4B$6.12B47.
4B$7.5B2A2B.B2A46.4B$7.5BABA2.BA.A46.4B$7.6BAB5.A47.4B$3.2A2.7B6.2A
47.4B$3.A3.6B57.4B$2A.A.7B59.4B$A.2A.2A2.4B59.4B$5.A4.4B59.4B$5.A.A3.
4B59.4B25.A11.2A$6.2A4.4B59.4B23.A.A9.B2AB$13.4B59.4B10.A3.A3.2A2.A.A
9.3B$14.4B59.4B7.3A2.A.A2.A2.2A.2A9.B.B$15.4B59.4B5.A5.A.A3.A.A2.B8.
5B$16.4B59.7B.2A5.A.4A2.AB2A6.6B$17.3BA59.9B7.A3.A.A.2A4.8B$18.ABAB
59.6B8.A2.BA.A2.13B$19.2A2B59.5B7.A.2BA.A5.13B$20.4B57.7B6.2A.2BA5.
15B$21.4B57.6B10.3B4.15B$22.4B56.2B3A2B10.2B.B.17B77.2A$23.4B55.BA2BA
B4.29B77.A$24.4B54.BA3BAB2.16B2A13B77.A$25.4B53.2B4AB2.16B2A14B71.2A
2.2A8.3D$26.4B51.5BA3B.27B3.B2A58.A11.A.A10.D3.D$27.4B50.36B4.A2.A57.
3A11.A.4A5.D76.A11.2A$28.4B44.B4.B2A17B2.2B2.B3.6B5.2A.A59.A8.B2A.A2.
A5.D75.A.A9.B2AB$29.4B42.2AB.3B3A13B14.6B7.A58.2A7.5B9.D67.A3.2A2.A.A
9.3B$30.4B41.2A4BA2BA11B5.4D5.9B6.2A57.5B4.4B10.D3.D54.2A6.A.A2.A2.2A
.2A9.B.B$31.4B41.B.3BAB2A10B6.D3.D4.2A4.4B66.11B.B9.3D54.B2A2B4.A.A3.
A.A2.B8.5B$32.4B43.2BABAB2A9B5.D3.D5.A.3D.4B55.2A2.AB3.11B.B2A66.4B5.
A.4A2.AB2A6.6B$33.4B42.3B2A2BA9B5.4D3.3A.D3.D.4B54.A2.A.AB.14B2A64.6B
7.A3.A.A.2A4.8B$34.4B41.4B3A8B.B2A3.D3.D2.A3.D6.4B54.A.2A15B.2B65.5B
7.A2.BA.A2.13B$35.4B40.5BA6B4.BA.A2.D3.D6.D7.4B54.A3.15B66.6B6.A.2BA.
A5.13B$36.4B38.11B9.A2.4D7.D8.4B54.2A8B2A7B64.7B6.2A.2BA5.15B$37.4B
36.13B8.2A12.D3.D5.3BA54.A.7BABAB2.4B64.6B10.3B4.15B$38.4B36.12B23.3D
7.B2AB51.A4.7BAB4.4B63.7B10.2B.B.17B$39.4B36.10B35.ABAB50.2A3.7B7.4B
62.6B4.29B$40.4B35.9B37.4B53.7B9.4B61.7B2.4BD11B2A13B$41.4B34.9B38.4B
51.4B.5B8.4B60.7B2.4B3D9B2A14B$42.4B33.9B39.4B49.4B5.2A9.4B58.9B.4BDB
D20B3.B2A$43.4B35.5B41.4B47.4B6.A11.4B57.16BD19B4.A2.A$44.4B35.4B42.
4B9.4D32.4B8.3A9.4B51.B4.20B2.2B2.B3.6B5.2A.A$45.4B34.4B43.4B8.D3.D
30.4B11.A10.4B49.2AB.19B14.6B7.A$46.4B34.4B43.4B7.D3.D29.4B24.4B48.2A
19B14.9B6.2A$47.4B34.4B43.4B6.D3.D28.4B26.4B48.B.17B15.2A4.4B$48.4B
34.4B43.4B5.D3.D27.4B28.4B50.17B15.A5.4B$49.4B34.4B43.4B4.D3.D26.4B
30.4B49.17B12.3A7.4B$50.4B34.4B43.4B3.4D26.2A2B14.A2.2A13.4B48.15B.B
2A10.A10.B3D$51.4B34.4B43.4B31.ABAB15.4A.A13.4B47.12B4.BA.A21.D3B$52.
4B34.4B43.4B29.3BA21.A14.4B45.11B9.A22.D3B$53.4B34.4B23.A19.4B19.A7.
4B15.7A.2A13.4B43.13B8.2A22.4B$54.4B34.4B22.3A12.B.3B.4B16.3A6.4B15.A
2.B3.A.A2.A12.4B43.12B33.4B$55.4B34.4B24.A10.18B8.A8.4B16.2A2.2A.AB2.
2A13.4B43.10B35.4B$56.4B34.4B10.A11.2A3.B5.2B2A11BD4B7.2A6.4B12.2A6.B
2AB2A18.4B42.9B37.4B$57.4B34.3BD7.3A11.8B3.2B2A9B3D4B2.B.5B5.4B13.A8.
5B19.4B41.9B38.4B$58.4B34.DBDB5.A16.8B.13BDBD4B.6B6.4B16.A7.3B8.4D9.
4B40.9B39.4B$59.4B34.2D2B4.2A15.22BD14B4.4B13.5A6.5B7.D3.D9.4B42.5B
41.4B$60.4B26.2A6.9B14.15B.2B2.25B14.A9.4BAB7.D3.D10.4B42.4B42.4B$61.
4B26.A7.6B14.17B8.21B17.B4A3.3BABA2B5.4D12.4B41.4B43.4B$62.4B25.A.2A
5.6B3.B2.2B2.19B11.19B17.BA2.A2.4BABA2B5.D3.D12.4B41.4B43.4B20.2A$63.
4B25.A2.A4.2BABA6B2A3B2A17B12.20B15.4B4.4BA2B6.D3.D13.4B41.4B43.4B17.
2B2AB$64.4B25.2AB3.4B2A4B4A3BABA7B.7B13.15BD5B10.2A3.15B5.4D15.4B41.
4B43.4B16.4B$65.4B25.9BA4BA2BA2BA3BA16B10.8B2.7B3D3B10.A2.A.2A14B24.
4B41.4B43.4B15.6B$66.4B25.13BA4BA3B2A17B9.2A3.B5.2B2A3BD4B.BA9.2A.2A
15B24.4B41.4B43.4B15.5B$67.4B25.13BA3BA11B2.8B11.A7.15BA.A12.B.15B24.
4B41.4B43.4B14.6B$68.4B24.17B.A.2B11.6B8.3A8.2A3.6B.B.2BA16.9B2.4B24.
4B41.4B43.4B13.7B$69.4B24.15B4.3B10.5B9.A11.A2.7B4.B17.7B5.4B24.4B41.
4B23.A19.4B12.6B$70.4B11.D7.4D15B5.A2B.2A7.4B18.3A4.7B21.3A6B4.4B24.
4B41.4B22.3A12.B.3B.4B10.7B$71.4B9.D.D6.D4.13B5.A.A2B.A7.3B19.A6.7B
20.3BA4.2A5.4B24.4B41.4B24.A10.18B4.6B$72.4B7.D3.D2.D2.D6.13B2.A.AB2.
A9.4B24.8B18.3BA5.A7.4B24.4B41.4B10.A11.2A3.B5.2B2A11BD4B2.7B$73.4B6.
D3.D.3D.3D3.8B4.2A.A.A3.A12.2A23.7B.B2A15.4B7.3A5.4B24.4B41.4B7.3A11.
8B3.2B2A9B3D4B2.7B$74.4B5.5D2.D2.D5.6B6.2ABA2.4A.A10.A25.6B.BA.A13.4B
10.A6.4B24.4B41.4B5.A16.8B.13BDBD4B.9B$75.4B4.D3.D5.D5.5B8.B2.A.A3.A.
A10.3A22.B3A2B4.A12.4B19.4B24.4B41.4B4.2A15.22BD16B$76.4B3.D3.D5.4D2.
B.B9.2A.2A2.A2.A.A12.A21.BADCABD4.2A10.4B21.4B24.4B33.2A6.9B14.15B.2B
2.20B4.B$77.4B19.3B9.A.A2.2A3.A30.2A2.2BABCDCA15.4B23.4B24.4B33.A7.6B
14.17B8.19B.B2A$78.4B17.B2AB9.A.A37.A.A7BD4B12.4B25.4B24.4B32.A.2A5.
6B3.B2.2B2.19B11.19B2A$79.4B17.2A11.A38.A3.4B2A5B11.4B27.4B7.A16.4B
32.A2.A4.18BAD4A11B12.17B.B$80.4B67.2A3.11B10.4B29.4B6.3A15.4B32.2AB
3.19BACBD2BAB.7B12.17B$81.4B72.10B9.4B31.4B8.A15.2BAB32.14B2A8BA3DAB
2A9B11.17B$82.4B71.10B8.4B33.4B6.A.A15.2B2A32.13B2A9B2ACBA12B8.2AB.
15B$83.4B71.9B7.4B35.4B5.A.2B15.2A2B32.29B2.8B8.A.AB4.12B$84.4B70.9B
6.4B37.4B5.2ABA15.4B31.17B.B.2B11.6B8.A9.11B$85.4B69.8B6.4B39.4B6.2BA
B14.4B13.2A16.15B4.3B10.5B8.2A8.13B$86.4B69.8B4.4B41.4B5.BA4B13.4B13.
A16.15B5.A2B.2A7.4B18.12B$87.4B69.6B4.4B43.4B4.7B13.4B10.A5.2A12.13B
5.A.A2B.A7.3B20.10B$88.4B68.6B3.4B45.4B2.3B5A.4B.B7.4B9.2A5.A14.13B2.
A.AB2.A9.4B19.9B16.2A$89.4B67.6B2.4B47.7B3A4B2AB.B2A7.4B11.3B.A.2A10.
8B4.2A.A.A3.A12.2A19.9B15.B2AB$90.4B65.7B.4B49.14BA3B2A8.4B7.2A2B2A.A
2.A10.6B6.2ABA2.4A.A10.A20.9B9.B6.2B$91.4B64.6B.4B50.5BA3BA4BAB.2B10.
4B5.B2A2B.A.2A12.5B8.B2.A.A3.A.A10.3A18.5B9.B.3B4.2B$92.4B64.9B51.5B
2A2B2AB2A2B14.4B5.4B.A15.B.B9.2A.2A2.A2.A.A12.A18.4B8.12BAB$93.4B44.
2A17.8B52.10BA4B16.4B3.4B.2A16.3B9.A.A2.2A3.A32.4B8.12B2A$94.4B42.A.A
16.8B51.2AB.5BAB2A3B18.10B18.B2AB9.A.A39.4B8.3B2A3B2A3BABA2B5.B$95.4B
35.2A4.A18.7B51.A.AB2.6B2A3B19.9B7.2A10.2A11.A39.4B8.3BA2B2A3BA3B2A9B
$96.4B32.A2.A2.2A.4A5.2A7.6B52.A5.5B3A2B3.2A16.8B8.A62.4B8.4B2AB2A4B
3A13B$97.4B31.2A.A.A.A.A2.A6.A6.2B3D2B51.2A5.10B3.A18.10B3.B.A.2A58.
4B8.ABA5B2A20B.B$98.4B33.A.ABABAB8.A.AB3.4BD2B57.11B4.A17.7B2A2B.B3A
2.A57.4B8.B2A3BABA7B2A14B2A$99.4B32.A.AB2AB10.2AB2.4B3DB58.10B3.2A17.
7B2A3BAB2.2A57.4B8.3BA3BA10B2A13B2A$100.4B32.AB.2B13.11B58.8B.B2A20.
12B4A58.4B8.4B3.12B2A14B$101.4B34.3B12.11B57.7B3.B2AB2A15.2AB.7B3.2B.
A57.4B8.4B7.9BA6B.B4.3B$102.4B33.4B6.2A3.11B57.6B6.B.A15.A.AB.7B2.B3A
57.4B8.4B9.2B.6BA3B$103.4B30.3B2AB6.A3.11B59.6B4.2A3.A13.A5.4B4.A59.
4B8.4B13.9B$104.4B29.3B2AB3.BA.A4.7B.2B59.8B.A2.4A11.A.A5.4B5.5A53.4B
8.4B15.11B$105.4B26.10B.B2A5.11B57.9BA.A.A12.3A.2A3.4B10.A52.4B8.4B
16.12B$106.4B24.13B8.10B48.A8.7B.2BAB.A.4A6.A8.4B9.A53.4B8.4B17.12B$
107.4B22.14B8.12B46.3A6.6B3.2B2.A.A2.A5.A.A6.4B10.2A51.4B8.4B19.11B$
108.4B20.15B9.13B13.A2.2A29.A4.2B3D2B4.B.2A9.BA.A5.4B63.4B8.4B18.4B.
4BDCDB$109.4B18.4B2.8B8.17B12.4A.A27.2A4.4BD2B3.A.A2.A7.3BA5.4B63.4B
8.4B19.2A4.3BACAB$110.4B16.4B5.6B7.18B17.A8.D18.4B.4B3DB3.2A2.2A5.4B
6.4B63.4B8.4B21.A4.2BD2CAB$111.4B14.4B4.9B5.2B2A13B.B2A8.7A.2A5.D.D
19.11B12.6B5.4B63.4B8.4B19.3A6.6B$112.4B12.4B5.2A4.4B5.B2A6B.4B3.BA.A
.2A3.A2.B3.A.A2.A2.D3.D17.12B11.7B4.4B63.4B8.4B20.A8.B4A2B$113.4B10.
4B7.A5.4B3.8B4.B8.A.A4.2A2.2A.AB2.2A2.D3.D17.12B4.B.4B.8B2.4B63.4B8.
4B30.B5A2B$114.4B8.4B5.3A7.2B2A2.6B15.A.A7.B2AB2A6.5D17.11B4.2AB.17B
63.4B8.4B32.BAB2A3B$115.4B6.4B6.A10.2A2B.7B12.3A.2A7.5B6.D3.D18.7B7.
2A18B63.4B8.4B33.9B$116.4B4.4B19.BA2B.6B8.2A.A6.A7.3B7.D3.D11.2A5.8B
7.2B.16B62.4B8.4B33.6B.4B$117.4B2.4B21.9B9.A.2A2.5A6.5B23.A6.8B9.16B
61.4B8.4B34.7B.4B$118.4BABAB23.8B15.A9.2B2A2B23.A.AB2.8B11.15B60.4B8.
4B16.B2.2A15.6B2.4B$119.3B2AB25.8B16.B4A3.2B2A4B22.2AB.10B11.12B.B2A
57.4B8.4B16.2B3.A8.B4.8B3.4B$120.3BA27.7B8.A7.BA2.A2.9B24.12B11.11B2.
BA.A55.4B8.4B16.3B3.A.AB3.4B.6B2AB5.4B$119.6B27.6B6.3A7.4B4.7B25.12B
7.2A3.10B5.A54.4B8.4B16.4B4.2AB.13B2A2B5.3BA$118.8B26.2B3D2B4.A6.2A3.
15B24.9B2.B2A6.A3.6B2A2B5.2A52.4B8.4B16.4B7.18B7.3BA$117.4B2.4B25.2BD
4B4.2A5.A2.A.2A14B24.8B2.BA.A4.A4.6B2A3B57.4B8.4B16.4B8.17B9.3AB$116.
4B4.4B24.B3D4B.4B7.2A.2A15B20.2B2.8B4.A4.2A3.10B57.4B8.4B16.4B10.13B
13.4B$115.4B6.4B23.11B13.B.15B18.4B.8B4.2A6.2AB.8B56.4B8.4B16.4B13.
12B13.4B$114.4B8.4B22.12B15.9B2.4B17.14B8.2AB2AB3.7B54.4B8.4B16.4B16.
10B14.4B$113.4B10.4B21.12B15.7B5.4B16.B2A3B2D2BD3B9.A.B6.6B53.4B8.4B
16.4B17.11B14.4B$112.4B12.4B21.11B15.9B4.4B14.2B2A4B3D4B7.A3.2A4.6B
53.4B8.4B16.4B19.2B.7B15.4B7.A$111.4B14.4B23.9B13.4B4.2A5.4B13.9BD4B
8.4A2.A.8B52.4B8.4B16.4B20.11B15.4B6.3A$110.4B16.4B21.10B.2B9.4B5.A7.
4B13.11B13.A.A.A9B50.4B8.4B16.4B20.11B17.4B8.A$109.4B18.4B9.3B4.B.16B
7.4B7.3A5.4B11.13B7.4A.A.BA2B.7B49.4B8.4B16.4B12.2A7.11B18.4B6.A.A$
108.4B20.4B8.6B3A4BA14B3.4B10.A6.4B10.14B6.A2.A.A2.2B3.6B7.2A39.4B8.
4B16.4B12.A2.A2.2A2.11B19.3BD5.A.AB$107.4B22.4B6.2A3B6AB2A3BA4B2A11B
19.4B9.14B11.2A.B4.2B3D2B6.A39.4B8.4B16.4B14.2A2.A.A2.B3D4B2.B2A18.DB
DB5.A3B$92.2A12.4B24.4B5.2A2B2A4BA2BA3BA4BABA9B21.4B8.13B11.A2.A.A3.
2BD4B3.BA.A38.BD2B8.4B16.4B17.2A.B3.2BD4B3.BA.A18.2D2B6.4B$92.A.A10.
4B26.4B5.B.2B2A3B2A2BA3BA5BA8B23.4B8.14B3.2A4.2A2.2A3.B3D4B2.B2A38.2D
2B8.4B16.4B18.A2.2B2.2B3D2B6.A19.4B5.6B$95.A2.2A4.4B28.4B6.3BA4BA3BA
2BA4B2A7B25.4B12.9B2.A2.A12.11B39.2B2D8.4B16.4B16.2A.A.BA2B.6B7.2A19.
4B4.7B$93.2A.A2.A3.4B30.4B7.5BA7BAB3A7B28.4B11.10B2.A.A12.11B38.4B8.
4B16.4B17.A.2A.A.A8B29.4B2.8B.4B.B$92.A.A.2A4.A3B32.4B7.B5.5B2AB3A6B
30.4B10.11B2A2.2A10.11B4.A32.4B8.4B16.4B22.A.A.8B30.17B.B2A$92.BAB.B
4.BABA34.4B15.4B2A8B31.4B9.2BD8B2.2A2.A10.11B2.A.A30.4B8.4B16.4B20.2A
2.A4.5B32.18B2A$86.2A5.5B2.2B2A36.4B14.14B32.4B9.2BD7B2A3.2A13.7B3.A.
A29.4B8.4B16.4B19.3A.2A4.6B32.16B.2B$87.A6.9B38.4B14.2B4.3B12.A11.2B.
4B6.4B8.3D5B.B.A17.8B2.2A.3A26.4B8.4B16.4B19.A4.B6.6B31.16B$87.A.AB2.
9B40.4B12.2B6.B13.3A6.11B6.4B8.6B3.A17.8B4.B4.A24.4B8.4B16.4B21.3AB2A
B3.7B31.15B$80.4D4.2AB.9B42.4B10.B2AB22.A4.3B2A7B7.4B8.4B5.3A15.7B2.B
2AB3A24.4B8.4B16.4B3.2A19.A.2AB.8B30.2AB.12B$80.D3.D5.12B42.4B10.2A
10.2A10.2A4.3B2A7B8.4B8.4B6.A14.9B.B2A.A25.4B8.4B16.4B3.B2AB22.10B29.
A.AB2.11B$80.D3.D5.12B43.4B22.A10.5B2.11B9.4B8.4B20.13B26.4B8.4B16.4B
5.2B23.6B2A3B28.A5.10B$80.D3.D5.12B34.4D6.4B21.A.AB9.4B2.10B10.4B8.4B
19.11B27.4B8.4B16.5B4.2B24.6B2A2B5.2A21.2A5.2B2A6B$80.D3.D6.5B2A2B.B
2A32.D10.4B10.A10.2AB.3B4.20BD7.4B8.4B16.2AB.9B.B24.4B8.4B15.14B23.
10B5.A28.3B2A6B$80.D3.D6.5BABA2.BA.A31.D11.4B7.3A12.7B.9BD12B2D6.4B8.
4B14.A.AB2.12B21.4B8.4B16.14B22.11B2.BA.A29.10B$80.4D7.6BAB5.A31.3D
10.4B5.A15.17B2D10B2D2B6.4B8.4B13.A5.13B19.4B8.4B16.18B5.B13.12B.B2A
30.8B.B2A.A$91.7B6.2A30.D13.4B4.2A15.17B2D14B6.4B8.4B11.2A5.14B17.4B
8.4B16.26B11.15B31.7B3.B2AB3A$89.8B39.D6.2A6.9B14.18BD16B6.4B8.4B17.
14B16.4B8.4B16.29B8.16B31.6B6.B4.A$85.2A.9B39.4D4.A7.6B14.19BD18B6.4B
8.4B.D.D11.15B15.4B8.4B16.30B.B3.2B.16B32.6B4.2A.3A$85.A2.A9B46.A.2A
5.6B3.B2.2B2.25B.16B6.4B8.4B.2D10.14B.B2A12.4B8.4B16.32B2A.2A18B32.5B
4.A2.2A$86.3A3B.B.4B46.A2.A4.7BA11BD13B2.6B2.2B.8B.4B6.4B8.4BD10.4B2.
5B5.BA.A10.4B8.4B16.33B2A.2AB.17B30.8B.A.A$89.B2.3B.4B46.2AB3.8B2A10B
DBD4B.6B4.3B6.7B3.4B6.4B8.4B9.4B3.6B7.A9.4B8.BD2B16.4B3.28B3.B.4B.8B
2.4B20.A8.8BA.A.2A.A$82.2A.A.2A2.B2AB2.4B46.11B3ABA9B3D4B2.B.5B13.4B
5.4B6.4B8.4B7.4B4.6B7.2A7.4B8.2D2B16.4B7.16B.B4.3B10.7B4.4B19.3A6.6B.
2BAB.A.2A$82.A.2A.A4.2A4.4B46.9B2ABABA11BD4B7.2A14.4B5.4B6.4B8.4B5.4B
4.6B16.4B8.2B2D16.4B9.2B.10B22.6B5.4B21.A4.2B3D2B2.2B2.A$87.A11.4B46.
9B4A16B8.A13.A.A.A.A5.4B6.4B8.4B3.4B.B2.3BA3B15.4B8.4B16.4B13.9B25.4B
6.4B19.2A4.4BD2B3.B.2A$87.2A11.4B45.10B2A5B.4B16.3A9.A.2A.2A.A5.4B6.
4B8.4B.11BABA2B14.4B8.4B16.4B15.11B24.3BA5.4B18.4B.4B3DB2.A.A2.2A$
101.4B45.15B3.2B19.A9.A3.A3.A6.4B6.4B8.7B.7BABA2B13.4B8.4B16.4B16.12B
24.BA.A5.4B19.11B2.2A2.A2.A$102.4B44.15B3.3B27.2A3.A.2A8.4B6.4B8.5B.
9BA3B12.4B8.4B16.4B17.12B25.A.A6.4B17.12B7.2A$103.4B44.13B5.A2B.2A29.
A11.4B6.4B7.5B.11B.B2A9.4B8.4B16.4B19.11B26.A8.4B16.12B$104.4B45.13B
2.A.A2B.A27.A.A3.2A7.4B6.4B5.7B.9B2.BA.A7.4B8.4B16.4B18.4B.4B3DB27.3A
6.4B15.11B$105.4B43.8B4.2A.A.AB2.A28.2A3.B2AB7.4B6.4B3.4B.11B7.A6.4B
8.4B16.4B19.2A4.4BD2B29.A7.4B13.9B$106.4B42.6B6.2ABA4.A35.2B6.B2.4B6.
4B.4B3.10B7.2A4.4B8.4B16.4B21.A4.2B3D2B38.4B9.2B.10B$107.4B41.5B8.B2.
5A.A34.2B4.3B2.4B6.7B5.8B13.4B8.4B16.4B19.3A6.6B39.4B7.16B.B4.3B$108.
4B40.B.B5.2A.A.2A.A4.2A33.17B6.5B7.8B11.4B8.4B16.4B20.A8.7B39.4B3.28B
$109.4B40.3B4.A.2A.A2.A.2A36.18B5.5B8.8B9.4B8.4B16.4B30.8B39.33B2A$
110.4B38.B2AB11.2A.A28.B5.17B.4B3.7B8.8B7.4B8.4B16.4B32.8B39.32B2A$
111.4B38.2A15.A27.25B.4B.4B.4B8.8B5.4B8.4B16.4B33.9B39.30B.B$112.4B
54.2A24.36B3.4B8.8B3.4B3.B4.4B16.4B33.6B.4B39.29B$113.4B77.B.35B5.4B
8.8B.4B3.9B16.4B34.7B.4B40.25B$114.4B75.2A36B6.4B8.11B.B.3B3A3B16.4B
19.2A15.6B2.4B40.17B5.B$115.4B32.2A40.2A37B6.4B8.4B2A8B2ABA4BA14.4B
21.A8.B4.8B3.4B39.14B$116.4B31.A.A40.28B2.9B6.4B8.2B4A7BABDBD3BAB12.
4B22.A.AB3.4B.6B2AB5.4B38.14B$117.4B32.A4.2A34.3B4.B.16B5.10B6.4B8.B
4A7B2A2CA2B2AB11.4B24.2AB.13B2A2B5.4B41.3B4.2B$118.4B27.4A.2A2.A2.A
43.10B.2B4.4B.8B6.4B6.2BAB3A9BD5B11.4B27.18B7.4B41.B6.2B$119.4B26.A2.
A.A.A.A.2A44.9B7.2A4.8B3.2B.3B6.3BA17B11.4B28.17B9.4B46.B2AB$120.4B
27.BABABA.A44.11B9.A5.8B.7B6.2BA2BA15B.B8.4B30.13B13.4B46.2A$121.4B
27.B2ABA.A43.12B6.3A7.13B.4B3.2B3A22B3.4B33.12B13.4B$122.4B27.2B.BA
44.12B6.A10.53B36.10B14.4B$123.4B25.3B37.A9.11B19.51B37.11B14.4B$124.
4B15.2A6.4B37.3A7.B3D4B.4B18.49B39.2B.7B15.4B7.A$125.4B15.A6.B2A3B38.
A6.2BD4B4.2A16.51B39.11B15.4B6.3A$126.4B14.A.AB3.B2A3B37.2A6.2B3D2B4.
A15.16B2A34B39.2BA8B17.4B8.A$127.4B14.2AB.10B35.5B3.6B6.3A11.16BA2BA
32B31.2A7.B3A7B18.4B6.A.A$128.4B15.13B22.2A12.12B8.A11.17B3A24BA7B.B
28.A2.A2.2A2.B4A6B19.3BD5.A.AB$129.4B14.14B22.A11.13B20.17B2A12B2A10B
ABA12B25.2A2.A.A2.B3D4B2.B2A18.DBDB5.A3B$130.4B10.A2.15B21.A.AB8.12B
19.2AB.29B2A9BA2BA14B25.2A.B3.2BD4B3.BA.A18.2D2B6.4B$131.4B7.3A4.8B2.
4B10.A10.2AB.3B4.12B18.A.AB3.38B2A17B24.A2.2B2.BA3C2B6.A19.4B5.6B$
132.4B5.A7.6B5.4B7.3A12.22B17.A4.3B6A24B2AB2A2B2A3BA14B20.2A.A.BA2B.B
4AB7.2A19.4B4.7B$133.4B4.2A5.9B4.4B5.A15.22B16.2A3.3BA2BABA24B2ABA4B
2A3BA14B20.A.2A.A.A5BA2B29.4B2.8B.4B.B$134.9B4.4B4.2A5.4B4.2A15.20B
22.3BA4BA26BAB2ABD2A3BA13B25.A.A.8B30.17B.B2A$134.7B5.4B5.A7.9B14.21B
23.2B2ABABA3B2A24B2D19B23.2A2.A4.5B32.18B2A$134.BA7B2.4B7.3A5.6B14.
23B24.7B2ABA26B2D18B.B19.3A.2A4.6B32.16B.2B$131.B.BABA11B11.A5.6B3.B
2.2B2.24B.B2A22.3B3A2B3A52B14.A4.B6.6B31.16B$127.2A.2A3BA11B9.2AB.A4.
19BD13B2.5B.BA.A22.16BA47B13.3AB2AB3.7B31.15B$125.A2.A.2A14B9.A2.2AB
3.7B3A10BDBD4B.7B2.2B6.A22.15B3A47B14.A.2AB.8B30.2AB.12B$125.2A3.15B
10.2A2.10BA4BA9B3D4B2.3B.B4.B6.2A22.13BA2B2A47B17.10B29.A.AB2.11B$
129.4B4.B2A3B17.10BA3BA11BD4B4.2B2A3.2A34.B2A5B3A12BA36B17.11B28.A5.
10B$129.BA2.A3.B2A3B18.9B4A16B4.BA2.A4.A25.2A7.B2A20BAB2A32B18.10B5.
2A21.2A5.2B2A6B$129.B4A3.4B20.17B.4B12.3A5.A.A24.A8.26B2A29B19.10B5.A
28.3B2A6B$127.A10.3B21.15B3.2B22.2A21.3A12.13BA5B2A2BA2BA27B.B16.11B
2.BA.A29.10B$127.5A7.2B.BA18.15B3.3B12.3A29.A14.12BABA3B2A2B2ABABA32B
12.12B.B2A30.8B.B2A.A$131.A6.B2ABA.A18.13B5.A2B.2A8.A2.A38.2A4.5BA5BA
BA8B2AB3A33B9.6B2AB2A4B31.7B3.B2AB3A$129.A7.BABABA.A20.13B2.A.A2B.A
10.2A39.A4.5BA13BA5B2A35B7.7BA3BA4B31.6B6.B4.A$129.2A4.A2.A.A.A.A.2A
16.8B4.2A.A.AB2.A49.3A6.4BA19BA37B3.2B.7BA3BA4B32.6B4.2A.3A$135.4A.2A
2.A2.A16.6B6.2ABA4.A50.A10.17B5A38B2.2A10BABA5B32.5B4.A2.2A$139.A4.2A
18.5B8.B2.5A.A59.19B2A38B3.2AB.9BA7B30.8B.A.A$137.A.A24.B.B5.2A.A.2A.
A4.2A60.18BA38B5.B.4B.8B2.4B20.A8.8BA.A.2A.A$137.2A26.3B4.A.2A.A2.A.
2A66.54B.B10.7B4.4B19.3A6.6B.2BAB.A.2A$164.B2AB11.2A.A67.60B7.6B5.4B
21.A4.2B3D2B2.2B2.A$165.2A15.A68.61B7.4B6.4B19.2A4.4BD2B3.B.2A$182.2A
67.62B8.3BA5.4B18.4B.4B3DB2.A.A2.2A$247.2A3.60B2A8.BA.A5.4B19.11B2.2A
2.A2.A$248.A5.58B2A9.A.A6.4B17.12B7.2A$245.3A6.59B11.A8.4B16.12B$245.
A9.57B13.3A6.4B15.11B$258.54B.B13.A7.4B13.9B$258.60B18.4B9.2B.10B$
259.61B17.4B7.16B.B4.3B$259.51B4A7B17.4B3.28B$260.49B2A2BA8B17.33B2A$
262.46B2A2BA4B3A2B18.32B2A$262.47BA2BA8B20.30B.B$263.47B2A8B22.29B$
266.54B.B22.25B$266.60B19.17B5.B$267.61B17.14B$267.62B16.14B$268.47B
2A13B19.3B4.2B$270.30BA29B20.B6.2B$270.29BA2BA26B27.B2AB$271.31BA25B
29.2A$274.13B2AB2A5BA9BA20B.B$274.11B2A4BA4BA11BA5BA2BA16B$275.17B2A
3BA4BA5BA4BA3BA18B$275.10BA4BAB2A4B6A3BA5BA3BA19B$276.10B2A2BAB2A6BAB
2A8BABA2B4A17B$278.B2A6BA2BA22BAB3AB2A17B$278.B2A32B3ABABABA15B$279.
34B2A2BABA2BA13B$282.32B3AB4A14B.B$282.33B2A2BA22B$283.33B2ABA24B$
283.34B2A26B$284.33BA28B$286.B2A57B$286.B2A16BABA37B$287.11B2A3B2ABA
37B$290.8B5AB2A3B2A33B.B$290.8BAB2ABABA3B2A39B$291.7B3A4BAB2A2BA40B$
291.7BA7BABABA42B$292.16BABA35B2ABA4B$294.52B4ABA2B$294.59B$295.51BA
3B2A$298.47B2A5B.B$298.47B2ABA9B$299.48B3A10B$299.62B!


I don't know whether it's worth trying to coax both glider streams from the same gun. Probably, I'd imagine. And then you could get the fifth SW-bound glider from attaching a semi-snark to a third output.
What do you do with ill crystallographers? Take them to the mono-clinic!
User avatar
calcyman
 
Posts: 1661
Joined: June 1st, 2009, 4:32 pm

Re: Spaceship Discussion Thread

Postby dvgrn » January 8th, 2018, 2:56 pm

calcyman wrote:I don't know whether it's worth trying to coax both glider streams from the same gun. Probably, I'd imagine. And then you could get the fifth SW-bound glider from attaching a semi-snark to a third output.

True enough. I knew that side was a lot easier, so I didn't worry about it -- but I didn't realize quite how easy!

Getting both glider-pair streams from the same gun is just a matter of looking up an H-to-2G splitter in the glider adjustment toolkit with a Oe2/Eo2 rating. NW31 is perfectly serviceable, for example, though there may be others with better geometry:

x = 167, y = 128, rule = LifeHistory
125.2A11.A$125.2A10.A.A$137.A.A2.2A3.A3.A$136.2A.2A2.A2.A.A2.3A$140.A
.A3.A.A5.A$136.2A.A2.4A.A5.2A$136.2A.A.A3.A$66.2A72.A.A3.A$65.A.A73.A
.A3.A$59.2A4.A76.A3.2A$57.A2.A2.2A.4A$57.2A.A.A.A.A2.A$60.A.A.A.A$60.
A.A.2A67.2A11.D$61.A71.2A9.3D$118.2A24.D.D$74.2A41.A2.A23.D$65.2A7.A
41.A.2A39.2A$47.A17.2A5.A.A41.A39.A.A3.A2.2A$47.3A22.2A41.2A36.A2.A.A
.3A2.2A$50.A79.2A22.A.A.A2.A$49.2A79.A26.3A$131.3A25.A$119.3D11.A10.
2A13.2A$41.2A78.D21.A.A$41.A78.D22.A14.2A$38.2A.A20.2A78.2A13.A.A$38.
A2.3A4.2A13.A92.A3.A$39.2A3.A3.2A10.3A97.A$41.4A15.A94.2A.A.A$41.A15.
2A.A.3A92.3A$42.3A12.A.A.A2.3A$45.A13.A.A5.A$40.5A14.2A3.3A89.A$40.A
22.A26.A64.A$42.A20.2A23.3A64.3A$41.2A44.A$87.2A$71.2A$72.A$72.A.2A$
64.2A4.3A2.A$64.2A3.A3.2A48.A$69.4A48.3A$55.2A15.A47.A$54.A.A12.3A23.
D11.2A11.2A11.A$54.A13.A26.3D9.2A24.3A$53.2A14.5A21.D.D38.A$73.A23.D
37.2A$71.A78.2A$71.2A2.2A73.A$75.2A70.2A.A$122.D23.A2.A$120.D.D13.A
10.2A$120.3D9.2A2.A.A$96.2A22.D11.2A2.2A$65.2A29.A.A$64.A.A31.A$58.2A
4.A33.2A$56.A2.A2.2A.4A50.2A3.A$56.2A.A.A.A.A2.A50.A3.A.A$59.A.A.A.A
54.A3.A.A$59.A.A.2A42.2A12.A3.A.A.2A$28.D.D29.A47.A10.A.4A2.A.2A$26.D
5.D72.3A10.A.A3.A.A$73.2A30.A12.A.A2.A2.2A.2A$25.D4.D2.D30.2A7.A26.A
18.A3.2A2.A.A$28.2D34.2A5.A.A24.3A26.A.A10.2A$25.D3.2D2.D37.2A24.A30.
A11.2A$97.2A$26.D5.D$28.D.D$105.2A$106.A$106.A.2A$61.2A35.2A4.3A2.A$
62.A35.2A3.A3.2A$59.3A41.4A$59.A29.2A15.A$84.2A2.A.A12.3A$85.A2.A13.A
$83.A2.3A14.5A$83.3A21.A$86.A18.A$85.2A18.2A3$21.D$19.2D$20.2D2$95.2A
$88.2A5.A.A$88.2A7.A$97.2A2$84.A$83.A.A.2A$83.A.A.A.A$80.2A.A.A.A.A2.
A$80.A2.A2.2A.4A$82.2A4.A$88.A.A$89.2A3$21.D.D$D.D18.2D$2D20.D$.D16$
3.D$.2D$2.2D!

The fifth (circled) glider might actually be compatible with the extra output of the gun, I'm not sure. It would take some rework to use the edge-shooter side of the NW31 to put a stream near that fifth-glider stream. Otherwise you need a syringe and edge-shooter anyway, not just a (semi-)Snark chain.

Below is the current stamp collection of semi-Snark/cenark mechanisms and their ratings. I had the sign wrong for some of them in a previous posting. The toolkit needs an appropriate G->4G and two period doublers to get to universal adjustabililty, as shown here. With only one doubler it's kind of the luck of the draw whether the timing can be made to work out.

x = 1755, y = 431, rule = LifeHistory
A231.12D$.2A226.18D193.4D190.11D188.12D597.11D$2A225.22D188.7D186.19D
180.20D189.15D168.35D182.18D160.44D$226.24D183.11D184.23D175.25D187.
15D168.37D178.22D158.44D$225.26D178.15D182.27D171.29D184.16D168.37D
176.25D157.44D$224.28D174.18D180.30D169.31D183.16D168.38D173.27D157.
44D$223.30D169.22D179.32D167.33D181.17D168.38D171.30D156.44D$222.32D
165.25D178.34D165.35D179.18D168.38D170.31D156.44D$221.33D163.27D177.
36D163.37D178.18D168.38D169.32D156.44D$221.34D162.27D177.37D161.39D
176.19D168.37D169.33D156.44D$220.16D5.15D161.27D176.38D161.39D175.20D
168.37D168.33D157.44D$220.14D9.13D160.28D175.17D7.16D159.17D8.16D174.
20D168.35D169.20D5.8D158.44D$12.A206.13D12.13D159.28D175.14D12.14D
159.14D13.14D173.21D168.12D191.18D10.5D159.11D21.12D$13.2A204.12D14.
12D160.27D174.14D15.13D159.11D17.12D173.21D168.12D190.16D177.11D20.
12D$12.2A204.13D14.13D159.15D.11D174.13D17.12D159.10D19.12D171.22D
168.12D189.16D179.10D20.12D$218.12D16.12D160.11D4.11D174.12D19.11D
160.8D20.12D170.23D168.12D188.15D181.10D20.12D$218.11D18.11D161.6D8.
11D174.11D20.12D160.6D22.11D170.23D168.12D188.14D182.10D19.12D$217.
12D18.12D174.11D173.12D21.11D188.11D169.24D168.12D187.14D184.8D20.12D
$36.D180.11D20.11D174.11D174.11D21.11D188.11D168.13D.11D168.12D186.
14D186.6D21.12D$36.D180.11D20.11D174.11D174.10D22.11D187.12D168.13D.
11D168.12D186.13D213.12D$30.D3.D.D2.D177.11D20.11D174.11D175.8D22.12D
187.12D167.13D2.11D168.12D186.12D214.12D$31.D.D2.D2.D176.12D20.12D
173.11D176.6D23.12D186.12D167.13D3.11D168.12D3.11D171.13D214.12D$32.D
3.4D176.11D22.11D173.11D204.13D184.14D167.13D3.11D168.30D167.12D214.
12D$31.D.D5.D176.11D22.11D173.11D203.13D183.15D167.13D4.11D168.32D
165.11D215.12D$24.A5.D3.D4.D176.11D22.11D173.11D202.14D173.25D167.13D
4.11D168.33D163.12D6.10D199.12D$25.2A189.11D22.11D173.11D201.15D172.
25D167.13D5.11D168.35D161.12D3.16D195.12D$24.2A190.11D22.11D173.11D
200.15D172.26D166.13D6.11D168.36D160.11D2.20D193.12D$216.11D22.11D
173.11D199.16D172.25D167.13D6.11D168.37D159.35D191.12D$216.11D22.11D
173.11D198.16D173.24D167.13D7.11D168.38D158.36D189.12D$216.11D22.11D
173.11D196.17D174.23D167.13D8.11D168.38D158.37D188.12D$216.11D22.11D
173.11D195.17D175.24D166.13D8.11D169.38D156.39D187.12D$216.11D22.11D
173.11D194.17D176.25D164.13D9.11D169.16D7.16D155.40D185.12D$44.A171.
11D22.11D173.11D193.17D178.25D163.13D9.11D169.13D12.14D155.41D184.12D
$42.3A171.11D22.11D173.11D192.17D180.25D161.13D10.11D170.9D16.14D154.
41D183.12D$41.A174.11D22.11D173.11D191.17D188.19D159.13D11.11D171.6D
19.13D154.22D4.16D182.12D$41.2A173.11D22.11D173.11D189.18D193.16D158.
13D11.11D197.12D154.20D8.14D182.12D$36.A179.11D22.11D173.11D188.18D
196.14D157.13D12.11D198.12D154.18D11.13D180.12D$37.2A177.11D22.11D
173.11D187.18D198.14D155.40D195.12D154.16D14.12D180.12D$36.2A178.11D
22.11D173.11D186.17D201.13D155.41D195.11D154.15D15.12D180.12D$216.12D
20.12D173.11D184.18D203.12D155.42D194.11D154.14D17.12D178.12D$27.2A.
2A185.11D20.11D174.11D183.18D205.12D154.43D193.11D154.14D17.12D178.
12D$25.A2.A.2A185.11D20.11D174.11D182.18D206.12D154.43D193.11D154.13D
19.11D178.12D$25.2A190.11D20.11D174.11D181.18D208.11D154.43D193.11D
154.13D19.11D177.12D$38.2A177.12D18.12D174.11D180.17D210.11D154.43D
193.11D155.11D20.11D177.12D$30.A2.A4.2A178.11D18.11D175.11D178.18D
211.11D154.42D194.11D155.11D20.11D177.12D$30.4A184.12D16.12D175.11D
177.18D212.11D154.41D194.12D155.12D19.11D176.12D$27.A190.13D14.13D
175.11D176.17D214.11D154.40D195.12D155.12D19.11D176.12D$27.5A187.12D
14.12D176.11D175.17D214.12D180.11D166.6D26.11D157.12D17.12D176.12D$
31.A187.13D12.13D176.11D173.18D214.13D180.11D165.8D24.12D157.12D17.
12D175.12D$29.A190.13D10.13D177.11D172.18D184.6D24.13D181.11D164.10D
22.13D157.13D15.12D176.12D$29.2A7.2A.2A177.15D5.16D177.11D172.16D20.
6D159.9D20.15D181.11D164.12D18.14D159.14D11.14D176.11D$34.2A2.2A.A3.
2A174.34D164.38D159.44D156.13D13.18D175.21D160.16D11.18D159.16D7.16D
175.12D$34.A6.A.A2.A175.33D163.41D157.44D156.44D173.24D159.44D161.37D
176.12D$35.7A.2A177.32D163.42D157.45D155.43D173.26D159.43D161.37D175.
12D$42.A180.30D164.43D156.45D155.42D174.27D158.42D163.35D176.12D$37.
4A.A181.28D164.44D156.45D155.42D174.27D159.40D165.33D177.12D$37.A2.2A
183.26D165.44D156.45D155.41D175.27D160.38D167.31D178.11D$226.24D167.
43D156.45D156.38D177.27D161.36D169.29D179.11D$227.22D168.42D157.45D
158.35D178.26D163.34D171.27D180.10D$229.18D171.41D157.45D160.31D181.
24D166.30D175.23D183.9D$232.12D175.38D159.45D162.26D186.21D170.24D
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2D24.3D.2D6.2D33.3D.3D5.2D20.3D.3D5.2D$10.D3.D.D2.D2.D23.D3.D.D7.D32.
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3A28.A9.3A37.A9.3A33.2A$9.2A5.A32.2A6.A12.2D27.2A6.A31.A$8.2A6.2A30.
2A7.2A10.D.D26.2A7.2A20.2A9.2A$71.D57.2A8.2A$52.2A48.2A$10.A35.2A4.2A
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2A40.A$4.A8.A.A.A.A33.A6.A42.A9.2A.A2.A$4.2A4.A2.A.A.A.A.2A27.3A7.4A
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111.2A198.2A198.2A198.2A198.2A198.2A198.2A198.2A$12.A.A47.2A53.A112.A
199.A199.A199.A199.A199.A199.A199.A$12.2A102.A112.A9.A189.A9.A189.A9.
A189.A9.A189.A9.A189.A9.A189.A9.A189.A9.A$116.2A111.2A8.3A187.2A8.3A
187.2A8.3A187.2A8.3A187.2A8.3A187.2A8.3A187.2A8.3A187.2A8.3A$242.A4.A
194.A4.A194.A4.A194.A4.A194.A4.A194.A4.A194.A4.A194.A4.A$241.2A3.A.A
192.2A3.A.A192.2A3.A.A192.2A3.A.A192.2A3.A.A192.2A3.A.A192.2A3.A.A
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245.2A.2A195.2A.2A195.2A.2A195.2A.2A195.2A.2A195.2A.2A195.2A.2A195.2A
.2A$244.A4.A194.A4.A194.A4.A194.A4.A194.A4.A194.A4.A194.A4.A194.A4.A$
244.A.2A196.A.2A196.A.2A196.A.2A196.A.2A196.A.2A196.A.2A196.A.2A$243.
2A.A196.2A.A196.2A.A196.2A.A196.2A.A196.2A.A196.2A.A196.2A.A$246.A
199.A199.A199.A199.A199.A199.A199.A$220.2A24.2A172.2A24.2A172.2A24.2A
172.2A24.2A172.2A24.2A172.2A24.2A172.2A24.2A172.2A24.2A$221.A21.A177.
A21.A177.A21.A177.A21.A177.A21.A177.A21.A177.A21.A177.A21.A$218.3A21.
A.A173.3A21.A.A173.3A21.A.A173.3A21.A.A173.3A21.A.A173.3A21.A.A173.3A
21.A.A173.3A21.A.A$218.A24.A174.A24.A174.A24.A174.A24.A174.A24.A174.A
24.A174.A24.A174.A24.A$225.2A198.2A198.2A198.2A198.2A198.2A198.2A198.
2A$225.A199.A199.A199.A199.A199.A199.A199.A$226.A199.A199.A199.A199.A
199.A199.A199.A$225.2A198.2A198.2A198.2A198.2A198.2A198.2A198.2A$238.
3D197.3D197.3D197.3D197.3D197.3D197.3D197.3D$229.2A8.D189.2A8.D189.2A
8.D189.2A8.D189.2A8.D189.2A8.D189.2A8.D189.2A8.D$230.A6.3D190.A6.3D
190.A6.3D190.A6.3D190.A6.3D190.A6.3D190.A6.3D190.A6.3D$227.3A197.3A
197.3A197.3A197.3A197.3A197.3A197.3A$227.A199.A199.A199.A199.A199.A
199.A199.A4$45.12D$41.20D6.5D14.33D$38.25D3.8D10.39D$36.38D10.41D$35.
40D8.44D$33.42D8.45D$32.43D8.46D$31.44D8.47D$30.45D9.47D134.2A198.2A
198.2A198.2A198.2A198.2A198.2A198.2A$29.46D9.48D134.A199.A199.A199.A
199.A199.A199.A199.A$28.19D8.20D11.46D105.2A26.A9.A161.2A26.A9.A161.
2A26.A9.A161.2A26.A9.A161.2A26.A9.A161.2A26.A9.A161.2A26.A9.A161.2A
26.A9.A$28.16D14.17D16.11D14.17D95.2A7.2A26.2A8.3A150.2A7.2A26.2A8.3A
150.2A7.2A26.2A8.3A150.2A7.2A26.2A8.3A150.2A7.2A26.2A8.3A150.2A7.2A
26.2A8.3A150.2A7.2A26.2A8.3A150.2A7.2A26.2A8.3A$27.15D18.15D16.11D17.
14D96.A48.A4.A145.A48.A4.A145.A48.A4.A145.A48.A4.A145.A48.A4.A145.A
48.A4.A145.A48.A4.A145.A48.A4.A$26.15D21.13D16.11D19.13D95.A.A7.D37.
2A3.A.A144.A.A7.D37.2A3.A.A144.A.A7.D37.2A3.A.A144.A.A7.D37.2A3.A.A
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D37.2A3.A.A$26.14D23.12D16.11D20.12D96.2A6.3D41.A.A145.2A6.3D41.A.A
145.2A6.3D41.A.A145.2A6.3D41.A.A145.2A6.3D41.A.A145.2A6.3D41.A.A145.
2A6.3D41.A.A145.2A6.3D41.A.A$26.13D25.11D16.11D21.11D103.2D2.D4.2A33.
2A.2A151.2D2.D4.2A33.2A.2A151.2D2.D4.2A33.2A.2A151.2D2.D4.2A33.2A.2A
151.2D2.D4.2A33.2A.2A151.2D2.D4.2A33.2A.2A151.2D2.D4.2A33.2A.2A151.2D
2.D4.2A33.2A.2A$25.13D26.11D16.11D21.11D112.A33.A4.A160.A33.A4.A160.A
33.A4.A160.A33.A4.A160.A33.A4.A160.A33.A4.A160.A33.A4.A160.A33.A4.A$
25.12D27.11D16.11D21.11D110.A.A33.A.2A160.A.A33.A.2A160.A.A33.A.2A
160.A.A33.A.2A160.A.A33.A.2A160.A.A33.A.2A160.A.A33.A.2A160.A.A33.A.
2A$24.12D28.10D17.11D21.12D109.2A33.2A.A161.2A33.2A.A161.2A33.2A.A
161.2A33.2A.A161.2A33.2A.A161.2A33.2A.A161.2A33.2A.A161.2A33.2A.A$24.
12D29.9D17.11D21.12D147.A199.A199.A199.A199.A199.A199.A199.A$24.11D
31.6D19.11D21.11D95.A26.2A24.2A145.A26.2A24.2A145.A26.2A24.2A145.A26.
2A24.2A145.A26.2A24.2A145.A26.2A24.2A145.A26.2A24.2A145.A26.2A24.2A$
24.11D56.11D21.11D95.3A25.A21.A149.3A25.A21.A149.3A25.A21.A149.3A25.A
21.A149.3A25.A21.A149.3A25.A21.A149.3A25.A21.A149.3A25.A21.A$24.11D
56.11D20.12D62.A23.A11.A21.3A21.A.A115.A23.A11.A21.3A21.A.A115.A23.A
11.A21.3A21.A.A115.A23.A11.A21.3A21.A.A115.A23.A11.A21.3A21.A.A115.A
23.A11.A21.3A21.A.A115.A23.A11.A21.3A21.A.A115.A23.A11.A21.3A21.A.A$
23.12D56.11D19.13D63.A22.3A8.2A14.A6.A24.A117.A22.3A8.2A14.A6.A24.A
117.A22.3A8.2A14.A6.A24.A117.A22.3A8.2A14.A6.A24.A117.A22.3A8.2A14.A
6.A24.A117.A22.3A8.2A14.A6.A24.A117.A22.3A8.2A14.A6.A24.A117.A22.3A8.
2A14.A6.A24.A$23.12D56.11D18.13D62.3A25.A22.A.A12.2A132.3A25.A22.A.A
12.2A132.3A25.A22.A.A12.2A132.3A25.A22.A.A12.2A132.3A25.A22.A.A12.2A
132.3A25.A22.A.A12.2A132.3A25.A22.A.A12.2A132.3A25.A22.A.A12.2A$23.
11D57.11D16.15D77.A11.2A16.D6.A13.A148.A11.2A16.D6.A13.A148.A11.2A16.
D6.A13.A148.A11.2A16.D6.A13.A148.A11.2A16.D6.A13.A148.A11.2A16.D6.A
13.A148.A11.2A16.D6.A13.A148.A11.2A16.D6.A13.A$23.11D57.11D13.18D75.
3A28.3D20.A145.3A28.3D20.A145.3A28.3D20.A145.3A28.3D20.A145.3A28.3D
20.A145.3A28.3D20.A145.3A28.3D20.A145.3A28.3D20.A$23.11D57.41D75.A31.
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12.A8.2A144.A31.D12.A8.2A144.A31.D12.A8.2A144.A31.D12.A8.2A$23.11D57.
40D76.2A41.3A21.3D130.2A41.3A21.3D130.2A41.3A21.3D130.2A41.3A21.3D
130.2A41.3A21.3D130.2A41.3A21.3D130.2A41.3A21.3D130.2A41.3A21.3D$23.
11D57.39D62.2A55.A15.2A8.D116.2A55.A15.2A8.D116.2A55.A15.2A8.D116.2A
55.A15.2A8.D116.2A55.A15.2A8.D116.2A55.A15.2A8.D116.2A55.A15.2A8.D
116.2A55.A15.2A8.D$23.11D57.38D64.A55.2A15.A6.3D117.A55.2A15.A6.3D
117.A55.2A15.A6.3D117.A55.2A15.A6.3D117.A55.2A15.A6.3D117.A55.2A15.A
6.3D117.A55.2A15.A6.3D117.A55.2A15.A6.3D$23.11D57.37D65.A.2A66.3A127.
A.2A66.3A127.A.2A66.3A127.A.2A66.3A127.A.2A66.3A127.A.2A66.3A127.A.2A
66.3A127.A.2A66.3A$23.11D57.36D67.A2.A23.D41.A130.A2.A23.D41.A130.A2.
A23.D41.A130.A2.A23.D41.A130.A2.A23.D41.A130.A2.A23.D41.A130.A2.A23.D
41.A130.A2.A23.D41.A$23.11D57.34D70.2A24.D.D33.2A136.2A24.D.D33.2A
136.2A24.D.D33.2A136.2A24.D.D33.2A136.2A24.D.D33.2A136.2A24.D.D33.2A
136.2A24.D.D33.2A136.2A24.D.D33.2A$23.12D56.32D87.2A9.3D34.A151.2A9.
3D34.A151.2A9.3D34.A151.2A9.3D34.A151.2A9.3D34.A151.2A9.3D34.A151.2A
9.3D34.A151.2A9.3D34.A$23.12D56.30D89.2A11.D11.2A21.A.2A148.2A11.D11.
2A21.A.2A148.2A11.D11.2A21.A.2A148.2A11.D11.2A21.A.2A148.2A11.D11.2A
21.A.2A148.2A11.D11.2A21.A.2A148.2A11.D11.2A21.A.2A148.2A11.D11.2A21.
A.2A$24.11D56.27D117.A14.2A4.3A2.A173.A14.2A4.3A2.A173.A14.2A4.3A2.A
173.A14.2A4.3A2.A173.A14.2A4.3A2.A173.A14.2A4.3A2.A173.A14.2A4.3A2.A
173.A14.2A4.3A2.A$24.11D56.11D134.3A11.2A3.A3.2A175.3A11.2A3.A3.2A
175.3A11.2A3.A3.2A175.3A11.2A3.A3.2A175.3A11.2A3.A3.2A175.3A11.2A3.A
3.2A175.3A11.2A3.A3.2A175.3A11.2A3.A3.2A$24.12D55.11D136.A16.4A179.A
16.4A179.A16.4A179.A16.4A179.A16.4A179.A16.4A179.A16.4A179.A16.4A$24.
13D54.11D117.A3.2A16.2A15.A160.A3.2A16.2A15.A80.2A78.A3.2A16.2A15.A
160.A3.2A16.2A15.A74.2A84.A3.2A16.2A15.A160.A3.2A16.2A15.A160.A3.2A
16.2A15.A74.2A84.A3.2A16.2A15.A$25.12D31.6D17.11D116.A.A3.A15.A.A12.
3A160.A.A3.A15.A.A12.3A81.A78.A.A3.A15.A.A12.3A160.A.A3.A15.A.A12.3A
75.A.A82.A.A3.A15.A.A12.3A160.A.A3.A15.A.A12.3A160.A.A3.A15.A.A12.3A
75.A.A82.A.A3.A15.A.A12.3A$25.13D29.8D16.11D115.A.A3.A16.A13.A162.A.A
3.A16.A13.A86.A75.A.A3.A16.A13.A162.A.A3.A16.A13.A80.A81.A.A3.A16.A
13.A162.A.A3.A16.A13.A162.A.A3.A16.A13.A80.A81.A.A3.A16.A13.A$26.13D
27.10D15.11D111.2A.A.A3.A16.2A14.5A153.2A.A.A3.A16.2A14.5A61.2A14.5A
71.2A.A.A3.A16.2A14.5A153.2A.A.A3.A16.2A14.5A74.2A.2A.A72.2A.A.A3.A
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2A.A.A3.A16.2A14.5A$26.14D25.11D15.11D111.2A.A2.4A.A34.A153.2A.A2.4A.
A34.A62.A13.A76.2A.A2.4A.A34.A153.2A.A2.4A.A34.A77.A.2A72.2A.A2.4A.A
34.A153.2A.A2.4A.A34.A153.2A.A2.4A.A34.A77.A.2A72.2A.A2.4A.A34.A$27.
15D21.13D15.11D115.A.A3.A.A31.A159.A.A3.A.A31.A64.A.A12.3A77.A.A3.A.A
31.A159.A.A3.A.A31.A79.A79.A.A3.A.A31.A159.A.A3.A.A31.A159.A.A3.A.A
31.A79.A79.A.A3.A.A31.A$27.17D17.15D15.11D111.2A.2A2.A2.A.A31.2A154.
2A.2A2.A2.A.A31.2A64.2A15.A72.2A.2A2.A2.A.A31.2A154.2A.2A2.A2.A.A31.
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A.A31.2A60.2A15.2A75.2A.2A2.A2.A.A31.2A$28.20D10.18D10.29D99.A.A2.2A
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A86.A.A2.2A3.A48.2A$29.47D8.33D85.2A10.A.A47.2A7.2A127.2A10.A.A47.2A
7.2A57.2A3.A3.2A59.2A10.A.A47.2A7.2A127.2A10.A.A47.2A7.2A45.A.A3.A.A
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3.A.A73.2A10.A.A47.2A7.2A$30.45D9.34D84.2A11.A49.A136.2A11.A49.A66.2A
4.3A2.A58.2A11.A49.A136.2A11.A49.A55.2A4.2A73.2A11.A49.A136.2A11.A49.
A136.2A11.A49.A55.2A4.2A73.2A11.A49.A$31.43D9.35D107.A39.A.A7.D149.A
39.A.A7.D64.A.2A81.A39.A.A7.D149.A39.A.A7.D149.A39.A.A7.D67.2A80.A39.
A.A7.D149.A39.A.A7.D149.A39.A.A7.D$32.41D10.35D107.3A38.2A6.3D148.3A
38.2A6.3D51.A11.A84.3A38.2A6.3D148.3A38.2A6.3D148.3A38.2A6.3D66.A.A
79.3A38.2A6.3D148.3A38.2A6.3D148.3A38.2A6.3D73.2A$33.39D11.35D110.A
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2.D4.2A66.A$35.36D12.35D109.2A33.A19.A144.2A33.A19.A45.A98.2A33.A19.A
144.2A33.A19.A41.2A9.2A90.2A33.A19.A61.2A.2A.A76.2A33.A19.A144.2A33.A
19.A41.2A9.2A90.2A33.A19.A69.A$36.33D15.34D138.A4.A.A16.A.A173.A4.A.A
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22.29D104.2A34.2A4.2A156.2A34.2A4.2A49.A16.2A3.A.2A81.2A34.2A4.2A156.
2A34.2A4.2A45.A28.2A80.2A34.2A4.2A66.2A15.2A71.2A34.2A4.2A156.2A34.2A
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A79.A199.A88.2A21.A87.A110.A6.A81.A199.A93.A17.A87.A114.2A15.A$216.2A
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2A.A196.2A.A91.3A13.2A.A.A83.2A.A128.4A$216.A2.3A4.2A188.A2.3A4.2A81.
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217.2A3.A3.2A55.A133.2A3.A3.2A55.A45.A5.2A80.2A3.A3.2A55.A133.2A3.A3.
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8.D6.2A16.2A21.D6.A55.A11.A$220.3A6.D5.A.A2.2A33.3D142.3A6.D5.A.A2.2A
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3A2.A9.A20.D22.2A.2A3.A113.5A14.3A2.A9.A20.D70.2A$218.A21.3A8.A.A19.
2D143.A21.3A8.A.A19.2D18.2A123.A21.3A8.A.A19.2D143.A21.3A8.A.A19.2D
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19.2D19.A2.A.2A117.A21.3A8.A.A19.2D70.A$220.A18.A12.A19.2D146.A18.A
12.A19.2D32.2A112.A18.A12.A19.2D146.A18.A12.A19.2D21.2A2.A120.A18.A
12.A19.2D49.A17.A78.A18.A12.A19.2D146.A18.A12.A19.2D20.2A124.A18.A12.
A19.2D49.A16.2A3.A.2A$219.2A18.2A8.3A20.D146.2A18.2A8.3A20.D25.A2.A4.
2A111.2A18.2A8.3A20.D146.2A18.2A8.3A20.D43.2A101.2A18.2A8.3A20.D48.3A
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70.A26.A.2A$225.A53.2A144.A53.2A14.A129.A53.2A144.A53.2A22.2A9.3A108.
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225.A.2A44.2A4.A.A143.A.2A44.2A4.A.A13.5A11.A113.A.2A44.2A4.A.A143.A.
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44.2A4.A.A14.A128.A.2A44.2A4.A.A58.A5.2A$226.A2.A23.D19.2A5.2A144.A2.
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23.D19.2A5.2A14.5A11.A113.A2.A23.D19.2A5.2A60.A$227.2A24.D.D171.2A24.
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2A24.D.D171.2A24.D.D44.A7.2A.A.A113.2A24.D.D85.2A$242.2A9.3D21.2A163.
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128.2A9.3D21.2A163.2A9.3D21.2A163.2A9.3D21.2A19.A8.A.A.A.A128.2A9.3D
21.2A$242.2A11.D22.A163.2A11.D22.A24.4A.2A2.A2.A126.2A11.D22.A74.2A
14.5A68.2A11.D22.A34.2A127.2A11.D22.A27.2A.2A131.2A11.D22.A163.2A11.D
22.A19.2A4.A2.A.A.A.A.2A125.2A11.D22.A27.2A.2A$275.3A197.3A29.A4.2A
161.3A76.A13.A106.3A197.3A26.A2.A.2A164.3A197.3A26.4A.2A2.A2.A158.3A
26.A2.A.2A$275.A199.A29.A.A167.A78.A.A12.3A103.A199.A28.2A169.A199.A
32.A4.2A160.A28.2A$505.2A248.2A15.A344.2A387.A.A208.2A$251.A3.2A194.A
3.2A194.A3.2A112.4A78.A3.2A194.A3.2A52.A2.A4.2A132.A3.2A194.A3.2A49.
2A143.A3.2A52.A2.A4.2A$250.A.A3.A193.A.A3.A193.A.A3.A107.2A3.A3.2A75.
A.A3.A193.A.A3.A52.4A137.A.A3.A193.A.A3.A193.A.A3.A52.4A$249.A.A3.A6.
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2A42.A142.A.A3.A6.2A185.A.A3.A6.2A185.A.A3.A6.2A42.A$245.2A.A.A3.A8.A
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3A112.A.A67.2A.A2.4A.A3.3A182.2A.A2.4A.A3.3A47.A7.2A.A.A$249.A.A3.A.A
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$246.A.A2.2A3.A107.A13.A67.A.A2.2A3.A189.A.A2.2A3.A108.2A79.A.A2.2A3.
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.A2.2A3.A57.4A.2A2.A2.A$234.2A10.A.A115.A.A12.3A52.2A10.A.A185.2A10.A
.A117.A67.2A10.A.A185.2A10.A.A69.A4.2A109.2A10.A.A130.A54.2A10.A.A
185.2A10.A.A69.A4.2A$234.2A11.A117.2A15.A51.2A11.A186.2A11.A96.A16.2A
3.A.2A64.2A11.A186.2A11.A68.A.A115.2A11.A113.2A15.2A54.2A11.A186.2A
11.A68.A.A$379.4A359.3A16.2A2.2A.A2.A344.2A244.A6.A346.2A$374.2A3.A3.
2A356.A26.A.2A590.A.A3.A.A$374.2A4.3A2.A355.2A18.2A5.A594.2A4.2A$382.
A.2A375.A5.2A$382.A380.A$381.2A352.A26.2A$734.A.A640.2A$375.2A350.2A.
2A3.A641.A.A$376.A348.A2.A.2A647.A$354.A16.2A3.A.2A345.2A652.2A$352.
3A16.2A2.2A.A2.A356.2A615.A17.A$351.A26.A.2A348.A2.A4.2A613.3A13.2A.A
.A$351.2A18.2A5.A351.4A618.A14.A2.A.2A$371.A5.2A348.A624.2A13.2A2.A$
373.A353.5A11.A628.A.A$372.2A357.A7.2A.A.A628.2A$729.A8.A.A.A.A$337.
2A.2A387.2A4.A2.A.A.A.A.2A$335.A2.A.2A393.4A.2A2.A2.A590.2A.2A$335.2A
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340.4A997.A2.A4.2A$337.A1003.4A$337.5A11.A984.A$341.A7.2A.A.A983.5A
11.A$339.A8.A.A.A.A987.A7.2A.A.A$339.2A4.A2.A.A.A.A.2A982.A8.A.A.A.A$
345.4A.2A2.A2.A982.2A4.A2.A.A.A.A.2A$349.A4.2A990.4A.2A2.A2.A$347.A.A
1000.A4.2A$347.2A999.A.A$1348.2A7$236.2D199.D$236.D.D197.2D198.3D198.
2D198.2D199.D$236.D199.D.D197.D199.2D199.D.D197.2D198.3D198.2D$637.D
200.D198.D199.D.D197.D199.2D$1438.D200.D21$229.2A198.2A198.2A198.2A
198.2A198.2A198.2A198.2A$230.A199.A199.A199.A199.A199.A199.A199.A$
229.A9.A189.A9.A189.A9.A189.A9.A189.A9.A189.A9.A189.A9.A189.A9.A$229.
2A8.3A187.2A8.3A187.2A8.3A187.2A8.3A187.2A8.3A187.2A8.3A187.2A8.3A
187.2A8.3A$242.A4.A194.A4.A194.A4.A194.A4.A194.A4.A194.A4.A194.A4.A
194.A4.A$241.2A3.A.A192.2A3.A.A192.2A3.A.A192.2A3.A.A192.2A3.A.A192.
2A3.A.A192.2A3.A.A192.2A3.A.A$246.A.A197.A.A197.A.A197.A.A197.A.A197.
A.A197.A.A197.A.A$245.2A.2A195.2A.2A195.2A.2A195.2A.2A195.2A.2A195.2A
.2A195.2A.2A195.2A.2A$45.12D47.12D128.A4.A194.A4.A194.A4.A194.A4.A
194.A4.A194.A4.A194.A4.A194.A4.A$41.20D6.5D28.20D6.5D113.A.2A196.A.2A
196.A.2A196.A.2A196.A.2A196.A.2A196.A.2A196.A.2A$38.25D3.8D23.25D3.8D
110.2A.A196.2A.A196.2A.A196.2A.A196.2A.A196.2A.A196.2A.A196.2A.A$36.
38D21.38D113.A199.A199.A199.A199.A199.A199.A199.A$35.40D19.40D86.2A
24.2A172.2A24.2A172.2A24.2A172.2A24.2A172.2A24.2A172.2A24.2A172.2A24.
2A172.2A24.2A$33.42D17.42D87.A21.A177.A21.A177.A21.A177.A21.A177.A21.
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3A21.A.A173.3A21.A.A173.3A21.A.A173.3A21.A.A173.3A21.A.A173.3A21.A.A$
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A24.A174.A24.A$30.45D14.45D91.2A198.2A198.2A198.2A198.2A198.2A198.2A
198.2A$29.46D13.46D91.A199.A199.A199.A199.A199.A199.A199.A$28.19D8.
20D12.19D8.20D92.A199.A199.A199.A199.A199.A199.A199.A$28.16D14.17D12.
16D14.17D91.2A198.2A198.2A198.2A198.2A198.2A198.2A198.2A$27.15D18.15D
11.15D18.15D104.3D197.3D197.3D197.3D197.3D197.3D197.3D197.3D$26.15D
21.13D10.15D21.13D95.2A8.D189.2A8.D189.2A8.D189.2A8.D189.2A8.D189.2A
8.D189.2A8.D189.2A8.D$26.14D23.12D10.14D23.12D96.A6.3D190.A6.3D190.A
6.3D190.A6.3D190.A6.3D190.A6.3D190.A6.3D190.A6.3D$26.13D25.11D10.13D
25.11D93.3A197.3A197.3A197.3A197.3A197.3A197.3A197.3A$25.13D26.11D9.
13D26.11D93.A199.A199.A199.A199.A199.A199.A199.A$25.12D27.11D9.12D27.
11D$24.12D28.10D9.12D28.10D$24.12D29.9D9.12D29.9D$24.11D31.6D11.11D
31.6D$24.11D48.11D$24.11D48.11D$23.12D47.12D$23.12D47.12D$23.11D48.
11D$23.11D48.11D$23.11D48.11D$23.11D48.11D172.2A198.2A198.2A198.2A
198.2A198.2A198.2A198.2A$23.11D48.11D173.A199.A199.A199.A199.A199.A
199.A199.A$23.11D48.11D144.2A26.A9.A161.2A26.A9.A161.2A26.A9.A161.2A
26.A9.A161.2A26.A9.A161.2A26.A9.A161.2A26.A9.A161.2A26.A9.A$23.11D48.
11D135.2A7.2A26.2A8.3A150.2A7.2A26.2A8.3A150.2A7.2A26.2A8.3A150.2A7.
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150.2A7.2A26.2A8.3A$23.11D48.11D136.A48.A4.A145.A48.A4.A145.A48.A4.A
145.A48.A4.A145.A48.A4.A145.A48.A4.A145.A48.A4.A145.A48.A4.A$23.11D
48.11D136.A.A7.D37.2A3.A.A144.A.A7.D37.2A3.A.A144.A.A7.D37.2A3.A.A
144.A.A7.D37.2A3.A.A144.A.A7.D37.2A3.A.A144.A.A7.D37.2A3.A.A144.A.A7.
D37.2A3.A.A144.A.A7.D37.2A3.A.A$23.12D47.12D136.2A6.3D41.A.A145.2A6.
3D41.A.A145.2A6.3D41.A.A145.2A6.3D41.A.A145.2A6.3D41.A.A145.2A6.3D41.
A.A145.2A6.3D41.A.A145.2A6.3D41.A.A$23.12D47.12D143.2D2.D4.2A33.2A.2A
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2A33.2A.2A$24.11D48.11D152.A33.A4.A160.A33.A4.A160.A33.A4.A160.A33.A
4.A160.A33.A4.A160.A33.A4.A160.A33.A4.A160.A33.A4.A$24.11D48.11D150.A
.A33.A.2A160.A.A33.A.2A160.A.A33.A.2A160.A.A33.A.2A160.A.A33.A.2A160.
A.A33.A.2A160.A.A33.A.2A160.A.A33.A.2A$24.12D47.12D149.2A33.2A.A161.
2A33.2A.A161.2A33.2A.A161.2A33.2A.A161.2A33.2A.A161.2A33.2A.A161.2A
33.2A.A161.2A33.2A.A$24.13D46.13D186.A199.A199.A199.A199.A199.A199.A
199.A$25.12D31.6D10.12D31.6D96.A26.2A24.2A145.A26.2A24.2A145.A26.2A
24.2A145.A26.2A24.2A145.A26.2A24.2A145.A26.2A24.2A145.A26.2A24.2A145.
A26.2A24.2A$25.13D29.8D9.13D29.8D95.3A25.A21.A149.3A25.A21.A149.3A25.
A21.A149.3A25.A21.A149.3A25.A21.A149.3A25.A21.A149.3A25.A21.A149.3A
25.A21.A$26.13D27.10D9.13D27.10D61.A23.A11.A21.3A21.A.A115.A23.A11.A
21.3A21.A.A115.A23.A11.A21.3A21.A.A115.A23.A11.A21.3A21.A.A115.A23.A
11.A21.3A21.A.A115.A23.A11.A21.3A21.A.A115.A23.A11.A21.3A21.A.A115.A
23.A11.A21.3A21.A.A$26.14D25.11D9.14D25.11D62.A22.3A8.2A14.A6.A24.A
117.A22.3A8.2A14.A6.A24.A117.A22.3A8.2A14.A6.A24.A117.A22.3A8.2A14.A
6.A24.A117.A22.3A8.2A14.A6.A24.A117.A22.3A8.2A14.A6.A24.A117.A22.3A8.
2A14.A6.A24.A117.A22.3A8.2A14.A6.A24.A$27.15D21.13D10.15D21.13D60.3A
25.A22.A.A12.2A132.3A25.A22.A.A12.2A132.3A25.A22.A.A12.2A132.3A25.A
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12.2A132.3A25.A22.A.A12.2A$27.17D17.15D10.17D17.15D75.A11.2A16.D6.A
13.A148.A11.2A16.D6.A13.A148.A11.2A16.D6.A13.A148.A11.2A16.D6.A13.A
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11.2A16.D6.A13.A$28.20D10.18D11.20D10.18D73.3A28.3D20.A145.3A28.3D20.
A145.3A28.3D20.A145.3A28.3D20.A145.3A28.3D20.A145.3A28.3D20.A145.3A
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2A144.A31.D12.A8.2A144.A31.D12.A8.2A144.A31.D12.A8.2A144.A31.D12.A8.
2A144.A31.D12.A8.2A144.A31.D12.A8.2A$30.45D14.45D73.2A41.3A21.3D130.
2A41.3A21.3D130.2A41.3A21.3D130.2A41.3A21.3D130.2A41.3A21.3D130.2A41.
3A21.3D130.2A41.3A21.3D130.2A41.3A21.3D$31.43D16.43D59.2A55.A15.2A8.D
116.2A55.A15.2A8.D116.2A55.A15.2A8.D116.2A55.A15.2A8.D116.2A55.A15.2A
8.D116.2A55.A15.2A8.D116.2A55.A15.2A8.D116.2A55.A15.2A8.D$32.41D18.
41D61.A55.2A15.A6.3D117.A55.2A15.A6.3D117.A55.2A15.A6.3D117.A55.2A15.
A6.3D117.A55.2A15.A6.3D117.A55.2A15.A6.3D117.A55.2A15.A6.3D117.A55.2A
15.A6.3D$33.39D20.39D62.A.2A66.3A127.A.2A66.3A127.A.2A66.3A127.A.2A
66.3A127.A.2A66.3A127.A.2A66.3A127.A.2A66.3A127.A.2A66.3A$35.36D23.
36D64.A2.A23.D41.A130.A2.A23.D41.A130.A2.A23.D41.A130.A2.A23.D41.A
130.A2.A23.D41.A130.A2.A23.D41.A130.A2.A23.D41.A130.A2.A23.D41.A$36.
33D26.33D67.2A24.D.D33.2A136.2A24.D.D33.2A136.2A24.D.D33.2A136.2A24.D
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D33.2A$39.28D31.28D84.2A9.3D34.A151.2A9.3D34.A151.2A9.3D34.A151.2A9.
3D34.A151.2A9.3D34.A77.2A72.2A9.3D34.A151.2A9.3D34.A151.2A9.3D34.A77.
2A$41.23D36.23D87.2A11.D11.2A21.A.2A148.2A11.D11.2A21.A.2A148.2A11.D
11.2A21.A.2A148.2A11.D11.2A21.A.2A148.2A11.D11.2A21.A.2A75.A72.2A11.D
11.2A21.A.2A148.2A11.D11.2A21.A.2A148.2A11.D11.2A21.A.2A75.A$46.14D
45.14D116.A14.2A4.3A2.A173.A14.2A4.3A2.A173.A14.2A4.3A2.A173.A14.2A4.
3A2.A173.A14.2A4.3A2.A69.2A4.A.2A.A92.A14.2A4.3A2.A173.A14.2A4.3A2.A
173.A14.2A4.3A2.A69.2A4.A.2A.A$236.3A11.2A3.A3.2A175.3A11.2A3.A3.2A
175.3A11.2A3.A3.2A175.3A11.2A3.A3.2A175.3A11.2A3.A3.2A70.2A3.2A.A.2A
93.3A11.2A3.A3.2A175.3A11.2A3.A3.2A175.3A11.2A3.A3.2A70.2A3.2A.A.2A$
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4A179.A16.4A$219.A3.2A16.2A15.A160.A3.2A16.2A15.A160.A3.2A16.2A15.A
160.A3.2A16.2A15.A160.A3.2A16.2A15.A77.3A80.A3.2A16.2A15.A160.A3.2A
16.2A15.A160.A3.2A16.2A15.A77.3A$218.A.A3.A15.A.A12.3A160.A.A3.A15.A.
A12.3A160.A.A3.A15.A.A12.3A160.A.A3.A15.A.A12.3A160.A.A3.A15.A.A12.3A
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78.A2.A$217.A.A3.A16.A13.A162.A.A3.A16.A13.A162.A.A3.A16.A13.A162.A.A
3.A16.A13.A162.A.A3.A16.A13.A83.2A77.A.A3.A16.A13.A162.A.A3.A16.A13.A
162.A.A3.A16.A13.A83.2A$213.2A.A.A3.A16.2A14.5A153.2A.A.A3.A16.2A14.
5A153.2A.A.A3.A16.2A14.5A153.2A.A.A3.A16.2A14.5A153.2A.A.A3.A16.2A14.
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5A$213.2A.A2.4A.A34.A153.2A.A2.4A.A34.A153.2A.A2.4A.A34.A153.2A.A2.4A
.A34.A153.2A.A2.4A.A34.A59.2A92.2A.A2.4A.A34.A153.2A.A2.4A.A34.A153.
2A.A2.4A.A34.A59.2A$217.A.A3.A.A31.A159.A.A3.A.A31.A159.A.A3.A.A31.A
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3.A.A31.A159.A.A3.A.A31.A62.A6.A$213.2A.2A2.A2.A.A31.2A154.2A.2A2.A2.
A.A31.2A154.2A.2A2.A2.A.A31.2A88.A65.2A.2A2.A2.A.A31.2A154.2A.2A2.A2.
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2A.2A2.A2.A.A31.2A61.A.A3.A.A$214.A.A2.2A3.A48.2A139.A.A2.2A3.A48.2A
139.A.A2.2A3.A48.2A66.2A4.A.2A.A61.A.A2.2A3.A48.2A139.A.A2.2A3.A48.2A
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3.A48.2A46.2A4.2A$202.2A10.A.A47.2A7.2A127.2A10.A.A47.2A7.2A127.2A10.
A.A47.2A7.2A66.2A3.2A.A.2A49.2A10.A.A47.2A7.2A127.2A10.A.A47.2A7.2A
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47.2A7.2A$202.2A11.A49.A136.2A11.A49.A83.2A51.2A11.A49.A136.2A11.A49.
A136.2A11.A49.A136.2A11.A49.A136.2A11.A49.A136.2A11.A49.A$225.A39.A.A
7.D149.A39.A.A7.D73.A75.A39.A.A7.D70.3A76.A39.A.A7.D149.A39.A.A7.D
149.A39.A.A7.D70.3A76.A39.A.A7.D149.A39.A.A7.D$225.3A38.2A6.3D148.3A
38.2A6.3D74.A73.3A38.2A6.3D69.A2.A75.3A38.2A6.3D148.3A38.2A6.3D47.2A
9.2A88.3A38.2A6.3D69.A2.A75.3A38.2A6.3D148.3A38.2A6.3D47.2A9.2A$228.A
44.2D2.D4.2A144.A44.2D2.D4.2A47.2A14.5A76.A44.2D2.D4.2A64.2A78.A44.2D
2.D4.2A144.A44.2D2.D4.2A40.2A9.A.A90.A44.2D2.D4.2A64.2A78.A44.2D2.D4.
2A144.A44.2D2.D4.2A40.2A9.A.A$227.2A33.A19.A144.2A33.A19.A49.A13.A80.
2A33.A19.A144.2A33.A19.A144.2A33.A19.A27.A26.A89.2A33.A19.A144.2A33.A
19.A144.2A33.A19.A54.A$256.A4.A.A16.A.A173.A4.A.A16.A.A49.A.A12.3A
106.A4.A.A16.A.A46.2A125.A4.A.A16.A.A173.A4.A.A16.A.A25.3A26.2A117.A
4.A.A16.A.A46.2A125.A4.A.A16.A.A173.A4.A.A16.A.A54.2A$255.A.A2.A2.A
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A16.2A173.A.A2.A2.A16.2A49.A$219.2A34.2A4.2A156.2A34.2A4.2A84.4A68.2A
34.2A4.2A67.A.A3.A.A80.2A34.2A4.2A156.2A34.2A4.2A44.2A18.2A.A.A86.2A
34.2A4.2A67.A.A3.A.A80.2A34.2A4.2A156.2A34.2A4.2A49.A14.2A.A.A$219.A
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A199.A90.3A12.A2.A.2A$216.2A.A196.2A.A122.2A4.3A2.A62.2A.A196.2A.A
196.2A.A82.2A21.2A2.A86.2A.A196.2A.A196.2A.A89.A15.2A2.A$216.A2.3A4.
2A188.A2.3A4.2A122.A.2A62.A2.3A4.2A188.A2.3A4.2A188.A2.3A4.2A68.2A4.
2A26.A.A83.A2.3A4.2A188.A2.3A4.2A188.A2.3A4.2A81.2A19.A.A$217.2A3.A3.
2A55.A133.2A3.A3.2A55.A54.A11.A66.2A3.A3.2A55.A133.2A3.A3.2A55.A133.
2A3.A3.2A55.A12.A11.A22.2A84.2A3.A3.2A55.A133.2A3.A3.2A55.A133.2A3.A
3.2A55.A47.2A$219.4A30.2A27.A.A134.4A30.2A27.A.A52.A.A9.2A68.4A30.2A
27.A.A49.2A9.2A72.4A30.2A27.A.A134.4A30.2A27.A.A13.A8.A.A109.4A30.2A
27.A.A49.2A9.2A72.4A30.2A27.A.A134.4A30.2A27.A.A$219.A8.D6.2A16.2A21.
D6.A135.A8.D6.2A16.2A21.D6.A54.A80.A8.D6.2A16.2A21.D6.A50.2A9.A.A71.A
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21.D6.A50.2A9.A.A71.A8.D6.2A16.2A21.D6.A135.A8.D6.2A16.2A21.D6.A19.A$
220.3A6.D5.A.A2.2A33.3D142.3A6.D5.A.A2.2A33.3D42.A22.2A75.3A6.D5.A.A
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33.3D24.A.A$223.A3.3D7.A2.A31.D2.D147.A3.3D7.A2.A31.D2.D42.3A23.A78.A
3.3D7.A2.A31.D2.D42.3A26.2A74.A3.3D7.A2.A31.D2.D147.A3.3D7.A2.A31.D2.
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144.5A14.3A2.A9.A20.D19.A2.A.2A$218.A21.3A8.A.A19.2D92.2A49.A21.3A8.A
.A19.2D42.2A20.2A2.2A.A2.A68.A21.3A8.A.A19.2D42.2A18.2A.A.A75.A21.3A
8.A.A19.2D143.A21.3A8.A.A19.2D19.2A2.A119.A21.3A8.A.A19.2D47.A14.2A.A
.A75.A21.3A8.A.A19.2D143.A21.3A8.A.A19.2D18.2A$220.A18.A12.A19.2D94.A
51.A18.A12.A19.2D72.A.2A70.A18.A12.A19.2D61.A2.A.2A78.A18.A12.A19.2D
146.A18.A12.A19.2D41.2A103.A18.A12.A19.2D46.3A12.A2.A.2A78.A18.A12.A
19.2D146.A18.A12.A19.2D32.2A$219.2A18.2A8.3A20.D89.2A4.A.2A.A45.2A18.
2A8.3A20.D66.2A5.A72.2A18.2A8.3A20.D62.2A2.A79.2A18.2A8.3A20.D146.2A
18.2A8.3A20.D40.A2.A102.2A18.2A8.3A20.D46.A15.2A2.A79.2A18.2A8.3A20.D
146.2A18.2A8.3A20.D25.A2.A4.2A$224.2A23.A112.2A3.2A.A.2A50.2A23.A56.
2A31.A5.2A77.2A23.A56.2A32.A.A81.2A23.A174.2A23.A52.2A9.3A108.2A23.A
69.2A19.A.A81.2A23.A174.2A23.A48.4A$225.A53.2A144.A53.2A25.A11.A22.A
83.A53.2A25.A11.A22.2A82.A53.2A144.A53.2A22.A6.A114.A53.2A60.2A82.A
53.2A144.A53.2A14.A$225.A.2A44.2A4.A.A85.3A55.A.2A44.2A4.A.A26.A8.A.A
20.2A83.A.2A44.2A4.A.A26.A8.A.A105.A.2A44.2A4.A.A143.A.2A44.2A4.A.A
18.3A7.4A111.A.2A44.2A4.A.A143.A.2A44.2A4.A.A143.A.2A44.2A4.A.A13.5A
11.A$226.A2.A23.D19.2A5.2A85.A2.A55.A2.A23.D19.2A5.2A25.2A8.2A107.A2.
A23.D19.2A5.2A25.2A8.2A107.A2.A23.D19.2A5.2A144.A2.A23.D19.2A5.2A18.A
12.A112.A2.A23.D19.2A5.2A144.A2.A23.D19.2A5.2A144.A2.A23.D19.2A5.2A
17.A7.2A.A.A$227.2A24.D.D113.2A56.2A24.D.D50.A120.2A24.D.D50.A120.2A
24.D.D171.2A24.D.D56.A114.2A24.D.D171.2A24.D.D171.2A24.D.D41.A8.A.A.A
.A$242.2A9.3D21.2A163.2A9.3D21.2A26.A.2A133.2A9.3D21.2A26.A.2A133.2A
9.3D21.2A163.2A9.3D21.2A33.2A128.2A9.3D21.2A26.2A.2A132.2A9.3D21.2A
163.2A9.3D21.2A18.2A4.A2.A.A.A.A.2A$242.2A11.D22.A71.2A90.2A11.D22.A
25.A2.A.A16.2A114.2A11.D22.A25.A2.A.A132.2A11.D22.A163.2A11.D22.A163.
2A11.D22.A24.A2.A.2A132.2A11.D22.A163.2A11.D22.A24.4A.2A2.A2.A$275.3A
73.A6.A116.3A26.2A2.A17.2A147.3A26.2A2.A166.3A197.3A197.3A25.2A170.3A
197.3A29.A4.2A$275.A75.A.A3.A.A115.A199.A49.2A148.A102.2A95.A199.A40.
2A157.A102.2A95.A29.A.A$352.2A4.2A363.A2.A252.A328.A2.A4.2A261.A125.
2A$251.A3.2A194.A3.2A55.2A137.A3.2A55.2A9.3A125.A3.2A116.2A4.A.2A.A
66.A3.2A194.A3.2A51.4A139.A3.2A116.2A4.A.2A.A66.A3.2A$250.A.A3.A193.A
.A3.A56.A9.2A.A2.A120.A.A3.A56.A6.A129.A.A3.A116.2A3.2A.A.2A65.A.A3.A
193.A.A3.A48.A144.A.A3.A116.2A3.2A.A.2A65.A.A3.A$249.A.A3.A6.2A185.A.
A3.A6.2A46.3A11.A.4A119.A.A3.A6.2A46.3A7.4A125.A.A3.A6.2A185.A.A3.A6.
2A185.A.A3.A6.2A41.5A11.A127.A.A3.A6.2A185.A.A3.A6.2A$245.2A.A.A3.A8.
A102.2A77.2A.A.A3.A8.A46.A11.A.A120.2A.A.A3.A8.A46.A12.A121.2A.A.A3.A
8.A114.3A64.2A.A.A3.A8.A181.2A.A.A3.A8.A45.A7.2A.A.A122.2A.A.A3.A8.A
114.3A64.2A.A.A3.A8.A$245.2A.A2.4A.A3.3A103.A.A76.2A.A2.4A.A3.3A59.2A
2.2A117.2A.A2.4A.A3.3A59.A122.2A.A2.4A.A3.3A115.A2.A63.2A.A2.4A.A3.3A
182.2A.A2.4A.A3.3A44.A8.A.A.A.A122.2A.A2.4A.A3.3A115.A2.A63.2A.A2.4A.
A3.3A$249.A.A3.A.A2.A107.A80.A.A3.A.A2.A66.A121.A.A3.A.A2.A61.2A125.A
.A3.A.A2.A119.2A67.A.A3.A.A2.A188.A.A3.A.A2.A46.2A4.A2.A.A.A.A.2A123.
A.A3.A.A2.A119.2A67.A.A3.A.A2.A$245.2A.2A2.A2.A.A110.2A75.2A.2A2.A2.A
.A68.A118.2A.2A2.A2.A.A187.2A.2A2.A2.A.A187.2A.2A2.A2.A.A187.2A.2A2.A
2.A.A55.4A.2A2.A2.A119.2A.2A2.A2.A.A187.2A.2A2.A2.A.A$246.A.A2.2A3.A
105.A83.A.A2.2A3.A69.2A118.A.A2.2A3.A189.A.A2.2A3.A104.2A83.A.A2.2A3.
A189.A.A2.2A3.A60.A4.2A122.A.A2.2A3.A104.2A83.A.A2.2A3.A$234.2A10.A.A
94.A14.2A.A.A70.2A10.A.A185.2A10.A.A185.2A10.A.A113.A6.A64.2A10.A.A
185.2A10.A.A66.A.A116.2A10.A.A113.A6.A64.2A10.A.A$234.2A11.A93.3A12.A
2.A.2A71.2A11.A186.2A11.A186.2A11.A114.A.A3.A.A63.2A11.A186.2A11.A67.
2A117.2A11.A114.A.A3.A.A63.2A11.A$340.A15.2A2.A602.2A4.2A592.2A4.2A$
340.2A19.A.A$362.2A2$334.A642.2A598.2A$333.A.A641.A.A597.A.A$326.2A.
2A3.A617.A26.A599.A$324.A2.A.2A619.3A26.2A598.2A$324.2A623.A23.A599.A
$337.2A610.2A18.2A.A.A579.A14.2A.A.A$329.A2.A4.2A628.A2.A.2A578.3A12.
A2.A.2A$329.4A634.2A2.A579.A15.2A2.A$326.A611.2A32.A.A576.2A19.A.A$
326.5A11.A595.A11.A22.2A598.2A$330.A7.2A.A.A596.A8.A.A$328.A8.A.A.A.A
595.2A8.2A$328.2A4.A2.A.A.A.A.2A591.A$334.4A.2A2.A2.A590.A.2A596.2A.
2A$338.A4.2A591.A2.A.A593.A2.A.2A$336.A.A597.2A2.A594.2A$336.2A619.2A
589.2A$955.A2.A581.A2.A4.2A$944.2A9.3A582.4A$945.A6.A584.A$942.3A7.4A
581.5A11.A$942.A12.A585.A7.2A.A.A$954.A584.A8.A.A.A.A$954.2A583.2A4.A
2.A.A.A.A.2A$1545.4A.2A2.A2.A$1549.A4.2A$1547.A.A$1547.2A!
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dvgrn
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Re: Spaceship Discussion Thread

Postby calcyman » January 8th, 2018, 5:51 pm

There's another free output of the opposite colour:

x = 213, y = 175, rule = LifeHistory
211.A$210.B2A$209.BABA$208.4B$207.4B$206.4B$205.4B$204.4B$203.4B$202.
4B$201.4B$200.4B$199.4B$198.4B$197.4B$196.4B5.2A$195.4B5.2B2A$194.4B
5.2BAB$193.4B5.4B$192.4B5.4B$191.2A2B5.4B$190.2B2A5.4B$189.2BAB5.4B$
188.4B5.4B$187.4B5.4B$186.4B5.4B$185.4B5.4B$184.4B5.4B$183.4B5.4B$
182.4B5.4B$181.4B5.4B$180.4B5.4B$179.4B5.4B$178.4B5.4B$177.4B5.A3B$
176.4B5.B2AB$175.4B5.BABA$174.4B5.4B$173.4B5.4B$172.4B5.4B$171.4B5.4B
$170.4B5.4B$169.4B5.4B$168.4B5.4B$167.4B5.4B$166.4B5.4B$165.4B5.4B$
125.2A11.A25.4B5.4B$124.B2AB9.A.A23.4B5.4B$125.3B9.A.A2.2A3.A3.A10.4B
5.4B$124.B.B9.2A.2A2.A2.A.A2.3A7.4B5.4B$124.5B8.B2.A.A3.A.A5.A5.4B5.
4B$124.6B6.2ABA2.4A.A5.2A.7B5.4B$124.8B4.2A.A.A3.A7.9B5.4B$66.2A57.
13B2.A.AB2.A8.6B5.4B$65.A.A55.13B5.A.A2B.A7.5B5.4B$59.2A4.A56.15B5.A
2B.2A6.7B3.4B$57.A2.A2.2A.4A52.15B4.3B10.6B3.4B$57.2A.A.A.A.A2.A51.
17B.B.2B10.7B2.4B$60.A.ABABAB53.29B4.6B.4B$60.A.AB2AB53.13B2A11BD4B2.
11B$61.AB.2B53.14B2A9B3D4B2.10B$64.3B51.2AB3.20BDBD4B.10B$64.4B6.2A
41.A2.A4.19BD16B3.BA$62.3B2AB6.A41.A.2A5.6B3.B2.2B2.20B2.BA.A$47.A14.
3B2AB3.BA.A41.A7.6B14.21BA$47.3A10.10B.B2A41.2A6.9B14.17B.B$50.A8.13B
50.4B4.2A15.17B$49.2A7.14B49.4B5.A15.17B$49.5B3.15B48.4B7.3A12.17B$
51.3B2.4B2.8B49.3DB10.A10.2AB.14B$41.2A7.9B5.6B48.3BD21.A.AB4.10B$41.
A8.8B4.9B46.3BD22.A9.8B7.A$38.2A.A.B3.10B5.2A4.4B44.4B22.2A8.9B5.3A$
38.A2.3AB.2B2A7B6.A5.4B42.4B33.9B4.A$39.2A2.BA3B2A7B3.3A7.4B40.4B35.
11B2.A$41.4A12B3.A10.4B38.4B36.12B2A$41.A.2B3.7B.B2A.A.3A7.4B36.4B38.
10BA$42.3AB2.7B.BA.A.A2.3A6.4B34.4B39.10B.2A$45.A4.4B5.A.A5.A6.4B32.
4B41.6B.B3.A$40.5A5.4B5.2A3.3A8.4B30.4B42.6B5.A.A$40.A10.4B8.A12.4B
10.A17.4B43.5B7.2A$42.A9.4B7.2A12.4B7.3A16.4B43.4B$41.2A10.4B3.5B13.
4B5.A18.4B43.4B$54.4B2.3B16.7B.2A16.4B43.4B$55.9B7.2A7.9B15.4B43.4B$
56.8B8.A8.6B16.4B43.4B$57.10B3.B.A.2A6.5B15.4B43.4B$57.7B2A2B.B3A2.A
5.7B13.4B43.4B$57.7B2A3BAB2.2A7.6B12.4B19.A23.4B$57.12B4A9.7B10.4B.3B
.B12.3A22.4B$55.2AB.7B3.2B.A9.6B4.18B10.A24.4B$54.A.AB.7B2.B3A10.7B2.
4BD15B5.B3.2A11.A10.4B$54.A5.4B4.A13.7B2.4B3D9B2A2B3.3BA4B11.3A7.4B$
53.2A5.4B5.5A7.9B.4BDBD13B.2BA5B16.A5.4B$59.4B10.A7.16BD9B2ABAB3A5B
15.2A4.4B$58.4B9.A4.B4.20B2.2B.B2AB5A3BA2B14.9B6.2A$57.4B10.2A2.2AB.
19B8.A4B2A4BA5B14.6B7.A$56.4B15.2A19B11.ABA16B2.2B2.B3.6B5.2A.A$55.4B
17.B.17B12.2BAB2A9BD19B4.A2.A$54.4B21.17B12.B3A3B.4BDBD20B3.B2A$53.4B
22.17B11.3BA9B3D25B$52.4B23.15B.B2A8.14BD26B$51.4B10.2A12.12B4.BA.A8.
8B2.18BA10B$50.4B10.A.A11.11B9.A8.6B11.2B.B.2B3A2BA9B$49.4B5.2A4.A12.
13B8.2A8.5B10.A2B4.A4BA9B$48.4B4.A2.A2.2A.4A9.12B18.4B7.2A.2BA5.A3BA
10B$47.4B5.2A.A.A.A.A2.A10.10B20.3B7.A.3B.A5.2BA10B$46.4B9.A.ABABAB
12.9B19.4B9.A2.2A.A2.13B$45.4B10.A.AB2AB13.9B19.2A12.A3.A.A.2A4.8B$
28.D.D13.4B12.AB.2B14.9B20.A10.A.4A2.AB2A6.6B$26.D5.D10.4B16.3B16.5B
18.3A10.A.A3.A.A2.B8.5B$42.4B17.4B6.2A8.4B18.A12.A.A2.A2.2A.2A9.B.B$
25.D4.D2.D7.4B16.3B2AB6.A9.4B13.A18.A3.2A2.A.A9.3B$28.2D10.4B17.3B2AB
3.BA.A10.4B10.3A26.A.A9.B2AB$25.D3.2D2.D5.4B16.10B.B2A12.4B8.A30.A11.
2A$38.4B16.13B15.4B7.2A$26.D5.D4.4B16.14B16.4B3.5B$28.D.D5.4B16.15B
17.4B2.3B$35.4B16.4B2.8B20.9B7.2A$34.4B16.4B5.6B21.8B8.A$33.4B16.4B4.
9B21.10B3.B.A.2A$32.4B16.4B5.2A4.4B20.7B2A2B.B3A2.A$31.4B16.4B7.A5.4B
19.7B2A3BAB2.2A$30.4B16.4B5.3A7.4B18.12B4A$29.4B16.4B6.A10.4B15.2AB.
7B3.2B.A$28.4B16.4B19.4B9.2A2.A.AB.7B2.B3A$27.4B16.4B21.4B9.A2.A5.4B
4.A$26.4B16.4B23.4B6.A2.3A5.4B5.5A$25.4B16.4B25.4B5.3A7.4B10.A$24.4B
16.4B27.4B7.A5.4B9.A$23.4B16.4B29.4B5.2A4.4B10.2A$22.4B16.4B31.4B4.9B
$21.4B16.4B33.4B5.6B$20.BC2B16.4B35.4B2.8B$19.2C2B16.4B37.15B$18.2B2C
16.4B39.14B$17.4B16.4B41.13B$16.4B16.4B43.10B.B2A$15.4B16.4B46.3B2AB
3.BA.A$14.4B16.4B47.3B2AB6.A$13.4B16.4B50.4B6.2A$12.4B16.4B51.3B$11.
4B16.4B49.AB.2B$10.4B16.4B49.A.AB2AB$9.4B16.4B50.A.ABABAB$8.4B16.4B
48.2A.A.A.A.A2.A$7.4B16.4B49.A2.A2.2A.4A$6.4B16.4B52.2A4.A$5.4B16.4B
59.A.A$4.4B16.4B61.2A$3.4B16.4B$2.4B16.4B$.4B16.CBCB$CBCB16.B2CB$2CB
16.3BC$.C16.4B$17.4B$16.4B$15.4B$14.4B$13.4B$12.4B$11.4B$10.4B$9.4B$
8.4B$7.4B$6.4B$5.4B$4.4B$3.4B$2.BC2B$.2C2B$2.2C!


Unfortunately the tempting placement of an Original Semisnark to insert the remaining glider collides earlier on.
What do you do with ill crystallographers? Take them to the mono-clinic!
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calcyman
 
Posts: 1661
Joined: June 1st, 2009, 4:32 pm

Re: Spaceship Discussion Thread

Postby dvgrn » January 8th, 2018, 7:19 pm

calcyman wrote:There's another free output of the opposite colour...
Unfortunately the tempting placement of an Original Semisnark to insert the remaining glider collides earlier on...

Does it, though? I don't see any problem... except for the obvious one:

x = 406, y = 295, rule = LifeHistory
334.2A$334.A.A$336.A4.2A$332.4A.2A2.A2.A$332.A2.A.A.A.A.2A$334.BABABA
.A$335.B2ABA.A$336.2B.BA$335.3B$326.2A6.4B2.B$92.2A233.A6.B2A6B$91.A.
A233.A.AB3.B2A5B$85.2A4.A236.2AB.10B$83.A2.A2.2A.4A234.13B$83.2A.A.A.
A.A2.A234.14B$86.A.ABABAB236.15B$86.A.AB2AB239.8B2.3B$87.AB.2B240.6B
5.2B$90.3B238.9B4.4B$87.B2.4B6.2A228.4B4.2A5.4B$85.6B2AB6.A228.4B5.A
7.4B$86.5B2AB3.BA.A227.4B7.3A5.3B$86.10B.B2A227.4B10.A6.2B$85.13B228.
4B$84.14B228.3B$83.15B$83.3B2.8B$83.2B5.6B$80.4B4.9B$79.4B5.2A4.3B$
78.4B7.A5.2B$77.4B5.3A7.B$76.4B6.A$75.4B$74.4B$73.4B$72.4B$71.4B$70.
4B$69.4B$68.4B$67.4B9$376.4B$377.4B$378.4B$379.4B13.A$380.4B10.3A$
381.4B8.A$382.4B7.2A$383.4B3.5B$384.4B2.3B$385.9B7.2A$386.8B8.A$387.
10B3.B.A.2A$387.7B2A2B.B3A2.A$387.7B2A3BAB2.2A$387.12B4A$385.2AB.7B3.
2B.A$384.A.AB.7B2.B3A$384.A5.7B.A$383.2A5.4B5.5A$389.4B10.A$388.4B9.A
$387.4B10.2A$386.4B$385.4B$384.4B$383.4B$382.4B$381.4B$380.4B$379.4B$
378.4B$377.4B$377.3B$377.2B2$9.A$9.3A$12.A$11.2A7.B$11.5B3.2B$13.3B2.
4B$3.2A7.9B$3.A8.8B$2A.A.B3.10B$A2.3AB.2B2A7B$.2A2.BA3B2A7B$3.4A12B$
3.A.2B3.7B.B2A$4.3AB2.7B.BA.A$7.A.7B5.A$2.5A5.4B5.2A$2.A10.4B$4.A9.4B
$3.2A10.4B61$239.A8.2A$239.3A6.2A$242.A$199.2A11.A28.2A13.2A$198.B2AB
9.A.A31.4B7.A$199.3B9.A.A2.2A3.A23.4B4.BA.A$198.B.B9.2A.2A2.A2.A.A6.
2A13.4B.B3.B2A$198.5B8.B2.A.A3.A.A6.2A6.B5.8B.2B$198.6B6.2ABA2.4A.A8.
6B7.3B.2A2B.2B$198.8B4.2A.A.A3.A7.9B11.2A3.B$199.13B2.A.AB2.A8.6B17.B
$197.13B5.A.A2B.A7.5B18.B$196.15B5.A2B.2A6.7B3.B14.A$196.15B4.3B10.6B
3.2B13.A.A$195.17B.B.2B10.7B3.3B13.2A$195.29B4.6B.B.2B$194.13B2A11BD
4B2.9B.B$193.14B2A9B3D4B2.9B8.2A$192.2AB3.20BDBD4B.10B8.2A$191.A2.A4.
19BD16B3.BA$190.A.2A5.6B3.B2.2B2.20B2.BA.A$190.A7.6B14.21BA$189.2A6.
9B14.17B.B$196.4B4.2A15.17B$195.4B5.A15.17B$194.4B7.3A12.17B$193.3DB
10.A10.2AB.14B$192.3BD21.A.AB4.10B$191.3BD22.A9.8B7.A$190.4B22.2A8.9B
5.3A$189.4B33.9B4.A$142.2A10.4B30.4B35.11B2.A$143.A9.4B30.4B36.12B2A$
141.A10.4B30.4B38.10BA$141.5A5.4B5.2A23.4B39.10B.2A$146.A.7B5.A23.4B
41.6B.B3.A$139.B3.3AB2.7B.BA.A22.4B42.6B5.A.A$142.A.2B3.7B.B2A4.A17.
4B43.5B7.2A$142.4A12B4.3A16.4B43.4B$140.2A2.BA3B2A7B3.A18.4B43.4B$
139.A2.3AB.2B2A9B.2A16.4B43.4B$139.2A.A.B3.15B15.4B43.4B$142.A8.10B
16.4B43.4B$142.2A7.10B15.4B43.4B$152.10B13.4B43.4B$150.5B.6B12.4B19.A
23.4B$150.2A4.7B10.4B.3B.B12.3A22.4B$151.A4.6B4.18B10.A24.4B$148.3A5.
7B2.4BD15B5.B3.2A11.A10.4B$148.A7.7B2.4B3D9B2A2B3.3BA4B11.3A7.4B$155.
9B.4BDBD13B.2BA5B16.A5.4B$155.16BD9B2ABAB3A5B15.2A4.4B$150.B4.20B2.2B
.B2AB5A3BA2B14.9B6.2A$149.2AB.19B8.A4B2A4BA5B14.6B7.A$149.2A19B11.ABA
16B2.2B2.B3.6B5.2A.A$150.B.17B12.2BAB2A9BD19B4.A2.A$153.17B12.B3A3B.
4BDBD20B3.B2A$153.17B11.3BA9B3D25B$153.15B.B2A8.14BD26B$153.12B4.BA.A
8.8B2.18BA10B$152.11B9.A8.6B11.2B.B.2B3A2BA9B$151.13B8.2A8.5B10.A2B4.
A4BA9B$152.12B18.4B7.2A.2BA5.A3BA10B$153.10B20.3B7.A.3B.A5.2BA10B$
153.9B19.4B9.A2.2A.A2.13B$153.9B19.2A12.A3.A.A.2A4.8B$153.9B20.A10.A.
4A2.AB2A6.6B$156.5B18.3A10.A.A3.A.A2.B8.5B$157.4B18.A12.A.A2.A2.2A.2A
9.B.B$157.4B32.A3.2A2.A.A9.3B$158.4B39.A.A9.B2AB$159.4B39.A11.2A$160.
B2AB$161.2A2B$162.4B$163.B2AB$164.2A2B$165.4B$166.B2AB$167.2A2B$168.
4B28.A$169.B2AB27.3A10.B$170.2A2B29.A8.2B$171.4B27.2A7.4B$172.B2AB26.
5B3.4B$173.2A2B27.3B2.4B$174.4B16.2A7.9B$175.B2AB15.A8.8B$176.2A2B11.
2A.A.B3.10B$191.A2.3AB.2B2A7B$192.2A2.BA3B2A7B$194.4A12B$194.A.2B3.7B
.B2A$195.3AB2.7B.BA.A$198.A4.4B5.A$193.5A5.4B5.2A$193.A10.4B$177.D.D
5.4B6.A9.4B$175.D5.D4.4B4.2A10.4B$187.4B16.4B$174.D2.D.D2.D5.4B16.4B$
178.2D9.4B16.4B$174.D3.D3.D7.4B16.4B$191.4B16.4B$175.D5.D10.4B16.4B$
177.D.D13.4B16.4B$194.4B16.4B$195.4B16.2BDB$196.4B16.2B2D$197.BDBD16.
2D2B$198.B2DB16.4B$199.D3B16.4B$200.4B16.4B$201.4B16.4B$202.4B16.4B$
203.4B16.4B$204.4B16.4B$205.4B16.4B$206.4B16.4B$207.4B16.4B$208.4B16.
4B$209.4B16.4B$210.4B16.4B$211.4B16.4B$212.4B16.4B$213.4B16.4B$214.4B
16.4B$215.4B16.BDBD$216.2BDB16.B2D$217.2B2D16.D$218.2D!
#C [[ STEP 9 STOP 2020 ]]

The p8N+4 period of the loop seems almost like a blessing, but mostly it's probably just a curse.
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Re: Spaceship Discussion Thread

Postby A for awesome » January 8th, 2018, 7:26 pm

An explicit example of a 5-engine p192 Cordership:
x = 81, y = 111, rule = B3/S23
59bo$58bo2bo$58bo2bo$58bo3bo$61b2o$58b2obo$59b2o2$73b2o$73b2o7$75b2o$
74b3o$74bobob3o2$78bobo$78b2o2$78bo$77bobo$78bo2$63b3o$54bobo5bo$50bob
o9bobob2o$50bo10b2o3b2o8bo$50bobo3bo5b3ob2o6b2ob2o$53b2obo5b4o11b3o$
40b2o22b2o$40b2o35b3o$78bo6$41b2o5b2o$41b2o5b2o10bo$19b2o40b5o$19b2o
39bobo2bob3o$63bo6bo$60bo3b2o4bo$29bo29bobo3bo4bo$28bobo29bo6b3o$27bo
2bo$27bo2bo$30bo$26bo3b2o11b5o$26bo16b2obo$27bobo2bo11b3o$28bo2bo12b2o
$27b5o12bo$27b2obo12bobo$28bo14b2o$26b2o14bob3o$29b2o12bo3bo$27bobo12b
o3bo$28bo17b3o$44b2o$44b2ob2o$46bo4$33b2o$33b2o2$20bo$19b2o$19b2o$19b
2o2bob2o$18b3obo4bobo$20b2o3bo2bo12b2o$21bo2bo3bo5bo6b2o$11bo11bo10bo$
10bo2bo2b2o4b2o$15bob2o$10bo3bo$11b2obo$12bo$6b3o4bo$5bo2bo$5bo2bo2$4b
2o$4bo26bo$30bobo$29b2obo10b2o$34bo7bobob2o$2o29bo3b4o6b3o$2o30bobo2b
2o7b2o$33bo6$8b2o$8b2o$20b2obo$20b2obobo2bo$22bo2bo3bo$19bobo6bo$21bo
5bo$29bo$29bo!

308 cells; there are probably smaller ones.
EDIT: 303:
x = 80, y = 111, rule = B3/S23
58bo2b2o$58bo2b2o$58bob2obo$57b2o2$57bo2b2o$58b4o$60bo$72b2o$72b2o8$
75b2o$75bo2bo$75bo3bo$76b3o3$73bobo$72bo3bo$77b2o$72bo5bo$56bo15bo6bo$
57bo3bo11b2o4bo$52b2o3bo4b2obo13bo$52bo3bo2bo2b2obo9bo3bo$52bobo3b4o3b
o9bo3bo$53b2o3b2o16bobo$39b2o35b3o$39b2o7$47b2o$47b2o$41b2o16b2o2bo$
41b2o16bo2bo$19b2o40bobo3b2o$19b2o38b3o5bo$59bo7bo$25b2o40bo$25b2o$29b
3o$29bo2bo$28bo3bo$29bo2b2o$31bo14bo$29b2o13bobo$28b3o12bo2bo$28b3o13b
o$45b2o$44bo$42b3o$29b3o11bo$44bobo$45bo2bo$49bo$22b3o21bobo$21bo3bo$
24b2o$24bo$21bo$21bobo$33b2o$20bo12b2o$19b3o$18b2o2bo$19b4o$17bobo$16b
o2bo$16bo2bo10bobo3bo$17b2o6b3o9b2o$25bo2b2o4b2obobo$25b2ob4o4b4o$12bo
14b3o$12b2o$14bo$12b2o$11bobo$12bo$10bobo$8bo$8bobo$8bobo$8b2o$7bo16b
2o7b4o$8b2o10b2obo2bo5b2ob2o$9bo14bobo5b2o3bo2b3o$2o6bobo21b2ob2o$2o6b
obo23bo5bobo$8bo32bo2$24b3o$27bo3$8b2o11bo3bo$8b2o15bo3bo$23bo$23b2o2$
23b2ob2o$25bo!

I'll stop looking now, as there seems to be little point in continuing without an actual exhaustive search.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: Spaceship Discussion Thread

Postby calcyman » January 9th, 2018, 12:08 am

dvgrn wrote:
calcyman wrote:There's another free output of the opposite colour...
Unfortunately the tempting placement of an Original Semisnark to insert the remaining glider collides earlier on...

Does it, though? I don't see any problem... except for the obvious one:
The p8N+4 period of the loop seems almost like a blessing, but mostly it's probably just a curse.


The tempting placement is to use the Original Semisnark in lieu of a Herschel-based edge-shooter. It would fit, were it not for colliding gliders.
What do you do with ill crystallographers? Take them to the mono-clinic!
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Re: Spaceship Discussion Thread

Postby dbell » January 9th, 2018, 7:38 am

I was able to remove one of the Corderships from the new glider turning edge reaction, so that it isn't nearly as clumsy as before.

#C A period 96 Cordership with an edge near the front which can be used
#C to turn sideways gliders into forward gliders.  This uses a two-engine
#C block and boat puffer which is cleaned up by a two-engine Cordership.
#C This is an improvement of a previous version of this reaction.
#C David I. Bell, 9 January 2018
x = 51, y = 88
23bo$22bobo$21booboo$22bobbo$24b3o$24bobo$25boo$25boo12boo$39boo3$5bo
17bo$24bo$bo7bo14boo$bo8bobb3o7b3o$o4boo3bobb3o31boo$bobo6bobboobbo29b
oo$boboo10bobo6b3o$15b3o4bo4bo$6bo15boo3bo14boo$24b4o14boo$43boo$38bob
4o$37bobboo3$34bo3bo$34bobbo$33bo3bo10b3o$33booboo$9bo23boobbo$8bobbo
22b3o$16bobboo14bo$12bo4boobo$6bo5bo8bo$7bo11boo$11bo11bobo$9boo$23bob
o3$23b3o$23b3o$24bo$25boo$26bo18boo$25bo14boo3boo$40boo4boo$45boo$45b
oo$23boo20bo$23boo$24bo$8bo31bo$8bo5b3o24boo5boo$7bobo3boobbo21bobo6b
oo$8bo3bo5bo5bo14bo$8bo3bo10bobbo13boo$13bobboo6boo16bo$14boo24b3o$39b
oboo$41boo$38bo$38bo$36boo$36bobo$35b3o$35bo$21bo14boo$11boo9boo12boo$
10bob3o8boo$10bo3bo10bo$11boobo5b5o6boo$12bo10bo6bobbo$29booboo$28bobo
$27boo$27bo3bo$28bobbo$15boo11b3o$15boo$27bo$27bo$24boo$24boo$24bobbo$
25b3o$26bo!

Here it is being used as part of a forward glider rake.

#C A period 96 forward glider Cordership rake.
#C David I. Bell, 9 January 2018
x = 138, y = 116
28b3o$28bo$29bo14$44b3o$44bo$45bo11$109b3o$109b3o$$60b3o46boboo$60bo
48bo3bo$39boo20bo49b3o$38bo87boo$38bobbo84boo$36boob4o$35bo20b3o$35bo
3b3obbo65bo$35bobbobbob3o3bobo57bobo$37boo4b3o4bo39b5o7bo7bo$39boobobo
43boo5boo4bobo5boo$40boobo14bo6boo21bo7bo4bo7boo23boo$43bo12b4o5boo21b
oo7bo3bobbo5bo23boo$28bo26bo3bo30boo6bo3b3o3boboo$27bobo25bobbo34bo15b
oboobo12boo$26booboo25b3o34bo4bo10bo4bo12b3o$26boo16boo30b3o15boobo14b
obo15bo$32boo9bobbo29bo52boo$26b3obbo12bobbo29bo49b3o$30boboo92boo$28b
obbo92boo$31bo11bo81bo$29boo11boo3bo$43bo3boo72b4o$29bo13boboboo71bo
14b3o$27booboo11bo3boo24bo46bobboo$30bo13b3o26bo21boo24b3o$27bo16b3o
50bo6boo16bo$29bo65bobbo4bo$93b3obbo5b3o3bo$93boobbo8boo3bo$43bo53bo9b
o$42b3o45boo3b3o14bo$45bo43bobo15bo3boo$42booboo44bo17boo$14bo26booboo
$15boboobobo9boo7booboo$9b3o3b4o3bo9boo8bobbo65bo$15bobbooboo20b3o64bo
bo$14bo28boo64booboo$12b3o94booboo$12b3o17boo74b3o$32boo74b3o3bo12b3ob
3o$108b3o4bo11b5oboo$40boo67boo5bo13booboo$40boo67b3o20bo$110boo$bb3o
106boo$bo3bo52boo66boo$o3boo34boo15bobo$bo38boo17bo34b3o6bo22b3o6boo$
bb4o22b4o63boo3boobo6bo4bo10bobo6boo$4boboo24bo61boo5bobo5bobbo3bo$4bo
bbo6bobooboo7bo4bo65b3obo7boo15bo$5boo6b5obboo7boobo69boo7boobboo10boo
$13bobb3obo10bo95boo$19bo$126boo$4bo121b3o$4bo119b3o$3bobo118bo$4bo$4b
oo117b3o$4b3o116bo$123b3o$bbo4boo95bo3boo$bbo5bo89boboo3boboobo$bbo5bo
87boobo3bobo4boo$7bo91bobobb3obboo7boo$100bo4boo10bobbo$118boo$118boo$
114boobo$114bobbo$7boo106b3o$7boo93boo$102boo$19bo93boo$18bo94b3o$17b
oo95bo$17boo92booboo$18boo91booboo$20boo91bo$22bo!

The only downside of this improvement is that the lanes near the forward glider are obstructed, preventing the creation of close salvos using multiple of these reactions. But then, we do have the other reactions in that case.

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Re: Spaceship Discussion Thread

Postby dvgrn » January 20th, 2018, 2:34 am

dvgrn wrote:
dvgrn wrote:That makes a fairly compact 15sL Cordership seed:

x = 62, y = 61, rule = B3/S23
21bo$20bobo$20b2o4$17bo$16bobo13b2o$17b2o13b2o3$17bo$16bobo$17b2o2$40b
2o$40b2o2$45b2o$45bobo$23bo22bo$22bobo$22b2o2$7bo4bo$6bobo2bobo$7b2o3b
2o2$b2o$obo$bo2$18b2o$18bobo16bo$19bo16bobo$37b2o3$30bo$29bobo$7b2o21b
o$7b2o11$17b2o$17bobo$18bo4$59b2o$59bobo$59bo!

Meant to mention -- this could (probably) be trivially reduced at least to 13 still lifes, if there is some two-object constellation that produces a switch engine in a different orientation -- i.e., when a trigger glider hits it from behind.

Are there any such constellations known, or has it been proven that there aren't any such?

Unfortunately it looks like any seeds where the switch engine travel directly away from the trigger glider, must be made of fairly rare still lifes, or possibly less common oscillators like beacons or toads. (Or there will be hundreds of 3-still-life constellations that would work, but that wouldn't save anything.)

I fixed up my enumerator script a little, so now it handles blocks, tubs, boats, beehives, ships, loaves, eaters, longboats, ponds, and blinkers. It found about a quarter of a million two-object constellations that fit inside a 16x16 box.

Ten of those constellations produced a clean switch engine, but with my enumerator half the results are always mirror images of the other half. So there were really only five cases, including chris_c's original two-boat one:

x = 165, y = 55, rule = LifeHistory
105.A$70.A35.2A28.A$69.A35.2A27.A.A$69.3A63.2A4$17.A.A$17.2A$18.A12$
44.2A75.A$43.A.A74.A.A40.A$43.A75.A2.A39.A.A$.A3.2A35.2A37.2A37.2A40.
2A$A.A2.A.A74.A$.2A4.A74.A.A$7.2A34.2A38.2A78.A$42.A.A117.A.A$42.A
119.2A$41.2A39.2A38.2A$81.A.A38.A.A$82.A40.A.A$124.A19$107.3A$107.A$
108.A!
#C [[ STOP 100 ]]

Still seems like there should be a way to reduce the number of still lifes somehow. Maybe there's a better cleanup constellation, or possibly there's a 2sL splitter that delays one of its outputs long enough that it could be connected directly to one of the forward signals, thus saving one turner object.
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Re: Spaceship Discussion Thread

Postby 2718281828 » January 24th, 2018, 6:04 pm

I have no idea how actual the page
http://www.conwaylife.com/wiki/LifeWiki ... tatus_Page
itself is.

But I did some computations using zfind for (4,0)c/8.
The results for a gutter spaceship with width 17 were negative. But for a width of 19 I got a couple positive results:
This is an example:
x = 19, y = 200, rule = B3/S23
6bo5bo$5b3o3b3o$4b2o2bobo2b2o$5bo2bobo2bo$5bo7bo$5b2o5b2o$6bobobobo2$
6bobobobo$3bo3bo3bo3bo$2b3o9b3o$bo2b2o7b2o2bo$4b2o7b2o2$3b3o7b3o$b2obo
9bob2o$b2o13b2o$bob4o5b4obo$4bo2bo3bo2bo$5b3o3b3o$5bo2bobo2bo$7b2ob2o$
5bo2bobo2bo$8bobo$5bo2bobo2bo$4b2obo3bob2o$4b2o7b2o$5b2o5b2o$6b2o3b2o$
5bo2bobo2bo$5bob2ob2obo$5bo7bo$5b2o5b2o2$4b4o3b4o$3b3ob2ob2ob3o$2bo13b
o$bobobo2bobo2bobobo$2o6bobo6b2o$bob3o7b3obo$bo5b2ob2o5bo$o4bobo3bobo
4bo$7bo3bo$o2b2o3bobo3b2o2bo$bo15bo$5bo2bobo2bo$4bobo5bobo$2b2o2b2o3b
2o2b2o$bob4o5b4obo$b2o4bo3bo4b2o$3bo3b2ob2o3bo$6bo5bo$5bo7bo$4b5ob5o$
3bo4bobo4bo$3bob2obobob2obo$bo3b2o5b2o3bo$bo15bo$3b2o9b2o$3b2o9b2o$2b
2obo7bob2o$2b3obo5bob3o$4bobo5bobo$4bo9bo$4b4o3b4o$8bobo$3b3o7b3o$2bo
2bo2bobo2bo2bo$bobobobo3bobobobo$bobob2o5b2obobo$2o2bo9bo2b2o$3bo11bo$
ob2o11b2obo$obo13bobo$b4o9b4o$2b3o9b3o$2b2obo7bob2o$2b2obo7bob2o$3b3o
7b3o$5bo7bo2$4bo9bo$3bobo7bobo$2b2obo7bob2o$2bo2bo7bo2bo$2b4o7b4o$3b2o
9b2o$3bobo7bobo$3b3o7b3o$2bo13bo$b2ob2o7b2ob2o$b2o3bo5bo3b2o$2bo3bo5bo
3bo$7bo3bo$7bo3bo$3bo3b2ob2o3bo$3b2ob3ob3ob2o$3bo3b2ob2o3bo$5obo5bob5o
$3b2ob3ob3ob2o$ob3ob3ob3ob3obo$b2o5bobo5b2o$3bo2b2o3b2o2bo$6bo5bo$5bo
7bo$2b3o9b3o$bobo11bobo$bo2bo9bo2bo$2obobo7bobob2o$bobob2o5b2obobo$2ob
o2bo5bo2bob2o$2b3ob2o3b2ob3o$o2bo2b2o3b2o2bo2bo$3bo3bo3bo3bo$o2bob2o5b
2obo2bo$2b2obo7bob2o$5bo7bo$5b2o5b2o2$3bo2bo5bo2bo$3bo3bo3bo3bo$3b2o2b
o3bo2b2o$3b3ob2ob2ob3o$2b3o9b3o$4bo2b2ob2o2bo$8bobo$6bo5bo$5b2obobob2o
$4b2ob2ob2ob2o$4b2o7b2o$4b3o5b3o$4bo9bo$2bo3bobobobo3bo$bo4bobobobo4bo
$2o3bobo3bobo3b2o$5bo2bobo2bo$6b3ob3o$6bobobobo$2b2o11b2o$2b2ob3o3b3ob
2o$2bo13bo$4b2o7b2o$3b2o9b2o$3b2o9b2o2$6bo5bo$5b3o3b3o$8bobo$4bo3bobo
3bo$8bobo$5bo7bo$5b3o3b3o$6bobobobo$6b3ob3o$6bobobobo$5bobo3bobo$6bo5b
o$4bob2o3b2obo2$4b2ob2ob2ob2o$3bob2obobob2obo$2b3o3bobo3b3o$3bo2bobobo
bo2bo$2ob4obobob4ob2o$2o4bobobobo4b2o$3b2obobobobob2o$3o3bobobobo3b3o$
obobobobobobobobobo$3bo2bobobobo2bo$3bo2bobobobo2bo$6bobobobo$4bo3bobo
3bo$4bo9bo$4bo2bo3bo2bo$6bo5bo$5bo7bo$5b2o5b2o$4bo2bo3bo2bo$3b3ob2ob2o
b3o$2bo4b2ob2o4bo$bob2o2b2ob2o2b2obo$bo5bo3bo5bo$5b3o3b3o$5b2o5b2o$5bo
7bo$4bo2bo3bo2bo$4b4o3b4o$2b2o4bobo4b2o$2bo2bo2bobo2bo2bo$3bo4bobo4bo$
4bobobobobobo$5bo2bobo2bo$4bobobobobobo$2b3obobobobob3o$2b4o2bobo2b4o$
8bobo$2b2o3b2ob2o3b2o$bo2bo3bobo3bo2bo$bo2bo2b2ob2o2bo2bo$2b2o11b2o!

It is nice due to the p8 sparks. Maybe someone finds a way to attach the tail to a shorter spaceship front.
Moreover, it is listed that for (4,0)c/8 there is no asymmetric spaceship with width 10 or smaller. But we have a known example with width 11:
x = 11, y = 13, rule = B3/S23
3o$o2bo4b3o$o6bo2bo$o3bo5bo$bo4bo3bo$bo3bo4bo$obob2o3bo$o6bo2$2bo2$5bo
$3b2o!

For the even-symmetric spaceship with width the results of zfind were negative for a width of 16 and 18 (20 is still running).
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Re: Spaceship Discussion Thread

Postby 77topaz » January 24th, 2018, 7:26 pm

2718281828 wrote:I have no idea how actual the page
http://www.conwaylife.com/wiki/LifeWiki ... tatus_Page
itself is.


You can look at the revision history to see when the page was last updated; currently, the most recent update is from 10 December 2017.
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Re: Spaceship Discussion Thread

Postby Sokwe » January 27th, 2018, 3:47 am

2718281828 wrote:I did some computations using zfind for (4,0)c/8.
The results for a gutter spaceship with width 17 were negative. But for a width of 19 I got a couple positive results:
This is an example:
x = 19, y = 200, rule = B3/S23
6bo5bo$5b3o3b3o$4b2o2bobo2b2o$5bo2bobo2bo$5bo7bo$5b2o5b2o$6bobobobo2$
6bobobobo$3bo3bo3bo3bo$2b3o9b3o$bo2b2o7b2o2bo$4b2o7b2o2$3b3o7b3o$b2obo
9bob2o$b2o13b2o$bob4o5b4obo$4bo2bo3bo2bo$5b3o3b3o$5bo2bobo2bo$7b2ob2o$
5bo2bobo2bo$8bobo$5bo2bobo2bo$4b2obo3bob2o$4b2o7b2o$5b2o5b2o$6b2o3b2o$
5bo2bobo2bo$5bob2ob2obo$5bo7bo$5b2o5b2o2$4b4o3b4o$3b3ob2ob2ob3o$2bo13b
o$bobobo2bobo2bobobo$2o6bobo6b2o$bob3o7b3obo$bo5b2ob2o5bo$o4bobo3bobo
4bo$7bo3bo$o2b2o3bobo3b2o2bo$bo15bo$5bo2bobo2bo$4bobo5bobo$2b2o2b2o3b
2o2b2o$bob4o5b4obo$b2o4bo3bo4b2o$3bo3b2ob2o3bo$6bo5bo$5bo7bo$4b5ob5o$
3bo4bobo4bo$3bob2obobob2obo$bo3b2o5b2o3bo$bo15bo$3b2o9b2o$3b2o9b2o$2b
2obo7bob2o$2b3obo5bob3o$4bobo5bobo$4bo9bo$4b4o3b4o$8bobo$3b3o7b3o$2bo
2bo2bobo2bo2bo$bobobobo3bobobobo$bobob2o5b2obobo$2o2bo9bo2b2o$3bo11bo$
ob2o11b2obo$obo13bobo$b4o9b4o$2b3o9b3o$2b2obo7bob2o$2b2obo7bob2o$3b3o
7b3o$5bo7bo2$4bo9bo$3bobo7bobo$2b2obo7bob2o$2bo2bo7bo2bo$2b4o7b4o$3b2o
9b2o$3bobo7bobo$3b3o7b3o$2bo13bo$b2ob2o7b2ob2o$b2o3bo5bo3b2o$2bo3bo5bo
3bo$7bo3bo$7bo3bo$3bo3b2ob2o3bo$3b2ob3ob3ob2o$3bo3b2ob2o3bo$5obo5bob5o
$3b2ob3ob3ob2o$ob3ob3ob3ob3obo$b2o5bobo5b2o$3bo2b2o3b2o2bo$6bo5bo$5bo
7bo$2b3o9b3o$bobo11bobo$bo2bo9bo2bo$2obobo7bobob2o$bobob2o5b2obobo$2ob
o2bo5bo2bob2o$2b3ob2o3b2ob3o$o2bo2b2o3b2o2bo2bo$3bo3bo3bo3bo$o2bob2o5b
2obo2bo$2b2obo7bob2o$5bo7bo$5b2o5b2o2$3bo2bo5bo2bo$3bo3bo3bo3bo$3b2o2b
o3bo2b2o$3b3ob2ob2ob3o$2b3o9b3o$4bo2b2ob2o2bo$8bobo$6bo5bo$5b2obobob2o
$4b2ob2ob2ob2o$4b2o7b2o$4b3o5b3o$4bo9bo$2bo3bobobobo3bo$bo4bobobobo4bo
$2o3bobo3bobo3b2o$5bo2bobo2bo$6b3ob3o$6bobobobo$2b2o11b2o$2b2ob3o3b3ob
2o$2bo13bo$4b2o7b2o$3b2o9b2o$3b2o9b2o2$6bo5bo$5b3o3b3o$8bobo$4bo3bobo
3bo$8bobo$5bo7bo$5b3o3b3o$6bobobobo$6b3ob3o$6bobobobo$5bobo3bobo$6bo5b
o$4bob2o3b2obo2$4b2ob2ob2ob2o$3bob2obobob2obo$2b3o3bobo3b3o$3bo2bobobo
bo2bo$2ob4obobob4ob2o$2o4bobobobo4b2o$3b2obobobobob2o$3o3bobobobo3b3o$
obobobobobobobobobo$3bo2bobobobo2bo$3bo2bobobobo2bo$6bobobobo$4bo3bobo
3bo$4bo9bo$4bo2bo3bo2bo$6bo5bo$5bo7bo$5b2o5b2o$4bo2bo3bo2bo$3b3ob2ob2o
b3o$2bo4b2ob2o4bo$bob2o2b2ob2o2b2obo$bo5bo3bo5bo$5b3o3b3o$5b2o5b2o$5bo
7bo$4bo2bo3bo2bo$4b4o3b4o$2b2o4bobo4b2o$2bo2bo2bobo2bo2bo$3bo4bobo4bo$
4bobobobobobo$5bo2bobo2bo$4bobobobobobo$2b3obobobobob3o$2b4o2bobo2b4o$
8bobo$2b2o3b2ob2o3b2o$bo2bo3bobo3bo2bo$bo2bo2b2ob2o2bo2bo$2b2o11b2o!

It is nice due to the p8 sparks. Maybe someone finds a way to attach the tail to a shorter spaceship front.

This p8 tagalong was first found by Paul Tooke on 4 Feb. 2002, and can be seen in the Life Lexicon under "still life tagalong". Also, zfind can only prove the nonexistence of ships of type (n,0)/p where gcd(n,p)=1. Therefore it is not capable of proving the minimum width for (4,0)c/8 or (6,0)c/12 ships.

2718281828 wrote:it is listed that for (4,0)c/8 there is no asymmetric spaceship with width 10 or smaller. But we have a known example with width 11:
x = 11, y = 13, rule = B3/S23
3o$o2bo4b3o$o6bo2bo$o3bo5bo$bo4bo3bo$bo3bo4bo$obob2o3bo$o6bo2$2bo2$5bo
$3b2o!


This ship actually has a width of 14. The width of an orthogonal spaceship is typically considered to be the width of the reaction envelope after the ship has been run through one full period (i.e., the width of the pattern after it has been run in LifeHistory). For example, the LWSS has a width of 5, even though each phase only has a width of 4.
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Re: Spaceship Discussion Thread

Postby googleplex » February 1st, 2018, 11:05 am

Is this 2c/5 spaceship known?
x = 18, y = 16, rule = B3/S23
2bo12bo$bobo10bobo$2ob2o8b2ob2o$2o14b2o$2bo12bo$2b4o6b4o$2bo2b2o4b2o2b
o$3b2o2bo2bo2b2o$4b2ob4ob2o$5bobo2bobo$6bo4bo$$5bo6bo$3b2ob2o2b2ob2o$
4bo8bo$4b2o6b2o!
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Re: Spaceship Discussion Thread

Postby dvgrn » February 1st, 2018, 11:09 am

googleplex wrote:Is this 2c/5 spaceship known?

Yes. Column number 12 in 2c5-orthogonal.rle, in Golly's Patterns/Life/Spaceships.
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Re: Spaceship Discussion Thread

Postby googleplex » February 1st, 2018, 1:56 pm

dvgrn wrote:
googleplex wrote:Is this 2c/5 spaceship known?

Yes. Column number 12 in 2c5-orthogonal.rle, in Golly's Patterns/Life/Spaceships.

Thanks!
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Re: Spaceship Discussion Thread

Postby Rhombic » February 3rd, 2018, 12:06 pm

Reporting unsatisfiability (750 seconds) of $ ./lls -S lingeling -m -b 11 9 --force_at_most 40 -x 2 -y 1 -p 6.

Some long searches are underway.
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Re: Spaceship Discussion Thread

Postby A for awesome » February 3rd, 2018, 12:15 pm

Rhombic wrote:Reporting unsatisfiability (750 seconds) of $ ./lls -S lingeling -m -b 11 9 --force_at_most 40 -x 2 -y 1 -p 6.

Some long searches are underway.

If I remember right, the existence of p6 knightships with width <= 15 has already been ruled out.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Spaceship Discussion Thread

Postby Macbi » February 3rd, 2018, 12:24 pm

I'm under the impression that programs called -find are just much better at finding ships than programs called -search. Is that true? If so then there's not much point looking for a knightship with LLS.
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Re: Spaceship Discussion Thread

Postby Sokwe » February 4th, 2018, 8:54 pm

Macbi wrote:I'm under the impression that programs called -find are just much better at finding ships than programs called -search. Is that true?

This is not true. For example, WLS and JLS are much faster than gfind and even zfind when doing a diagonally-shaped search. I'm not really sure why this is. WLS and JLS also allow for greater customization of the spaceship shape. By the way, knight2 is faster than gfind for p6 and p7 knightship searches.

A for awesome wrote:If I remember right, the existence of p6 knightships with width <= 15 has already been ruled out.

This is recorded on the spaceship search status page. In this case, the "width" is in the dimension of least travel. This can be seen in Tim Coe's width-15 partial p6 knightship:
x = 15, y = 37, rule = B3/S23
7bo$5b5o$5bo4b2o$3bo3b3obo$3bo3b2obo$2bo3bo$2b2obo$2b4o2bo$4bo$2b4o3b
2o$2b3o2bob2o$6b2obobo$6b3o2b2o$b3o6b3o$2b2o5b2o2$7b3o2b2o$9bob3o$4b3o
3b3o$4bo6bo$3bo3b3ob2o$b2obo5b2obo$4bob3obo$o5bo2bo$4bob2o4bo$2bobo5b
2o$2bo5b2o$2bo$2bo3bobo$o3bo2b2o$o2b2o2b2o$3b3o$2ob2ob2o$2obo4b4o$bobo
b2o3b2o$2bo4bo5b2o$2b2o4bob2o!

Knight2, gfind, and zfind are not capable of searching for "short" knightships.
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Re: Spaceship Discussion Thread

Postby BlinkerSpawn » February 4th, 2018, 10:58 pm

Sokwe wrote:WLS and JLS are much faster than gfind and even zfind when doing a diagonally-shaped search. I'm not really sure why this is.

Do spaceship programs use straight-line rows for diagonal searches?
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Re: Spaceship Discussion Thread

Postby Sokwe » February 4th, 2018, 11:35 pm

BlinkerSpawn wrote:
Sokwe wrote:WLS and JLS are much faster than gfind and even zfind when doing a diagonally-shaped search. I'm not really sure why this is.

Do spaceship programs use straight-line rows for diagonal searches?

gfind does, but I made a modification of zfind that used diagonal rows, and it was still slower than WLS.

Edit: Also, zfind is not well suited for diagonal searches, because they usually require widths larger than 10 to find anything.
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Re: Spaceship Discussion Thread

Postby Macbi » February 5th, 2018, 8:05 am

That's interesting. So LLS is potentially a useful tool for finding a knightship. On the other hand I just ran searches in LLS with -b8, -b9, -b10 and -b11 and they took 2s, 20s, 200s and 2000s. So unless calcyman's new distributed search is much faster than glucose-syrup, we're not going to get anywhere near width 15.

I notice that knight2 can't run a search with translation 2 in the y direction. Is there some other program that could be used to bound the height of a knightship?

EDIT: Also, can gfind and co. be used to find oscillators? What are the known bounds on a p19?
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Re: Spaceship Discussion Thread

Postby Sokwe » February 5th, 2018, 5:28 pm

Macbi wrote:I notice that knight2 can't run a search with translation 2 in the y direction. Is there some other program that could be used to bound the height of a knightship?

Basically, WLS, JLS. I've found that afind misses some things, so I don't trust it to give any bounds.
There is also lifelocallookahead, but I haven't used it, so I'm not sure of its restrictions.

Macbi wrote:Can gfind and co. be used to find oscillators?

There is ofind by David Eppstein, which works on principles similar to gfind. There's also this program by Aidan F. Pierce based on zfind, but I haven't used it, so I don't know much about it.

Macbi wrote:What are the known bounds on a p19?

You are almost certainly not going to find a p19 with any of these direct search methods. Even period-9 is pushing the limits of what these programs can search for.
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Re: Spaceship Discussion Thread

Postby dvgrn » February 5th, 2018, 7:14 pm

Sokwe wrote:
Macbi wrote:What are the known bounds on a p19?

You are almost certainly not going to find a p19 with any of these direct search methods. Even period-9 is pushing the limits of what these programs can search for.

That's all true enough, but the "known bounds" question is still an interesting one -- maybe particularly for LLS.

We can certainly say that we know that no p19 exists that fits inside an MxN bounding box in all phases, for various small M and N. It would be interesting to run searches for different (period, M, N) combinations, increasing M and N for each period until we stop getting quick negative results -- and just see where that dividing line might be for each period.
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Re: Spaceship Discussion Thread

Postby rokicki » February 6th, 2018, 4:27 pm

Using ideas like those in LLS (but my own code), using the SAT solver glucose, I was able to
get a "partial" (if having six cells wrong can be considered a partial) (1,2)c/6 knightship in
CGOL to this point:

x = 38, y = 40, rule = B3/S23
$4b3o$3bo2b2o$3bo4bo2$3b3o3b2ob3o$b2obobo4bob2o$3bo2bo4bo2b2o$o2bo8bo$
o4bo2b2o2bo2bo$bob3o2b2o3b2o$3b2obob2obo3bo$9b2ob3o$9bo5bo$12b3o2b3o$
15bob2o$10b2obo3b3o$10b2o2bo2b2o$12b4o3bo$13b2obo2bo$11b2obobobo$14bo$
11bo7b2o$12b2o5b2o$14b2obo$16b3o2bobo$16b2o3bo$17bo$18b5obobo3b2o$19b
2o2b2o4b2obo$19b2o2bo6bobo$23b2obobo$23b2o2b2o3bo$27bo5b2o$25bo2bobob
2o$24bo4bo3bo$24bo2bo2bo$30bo$30bo!


At this point I'm having troubles extending it.
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