Glider-Powered Spaceships

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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dvgrn
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Re: Glider-Powered Spaceships

Post by dvgrn » July 3rd, 2020, 12:00 pm

dvgrn wrote:
July 3rd, 2020, 9:30 am
I'll run a fresh search for LWSS seeds and see what turns up.
It looks like well-spaced constellations (no pseudo still lifes) that fit inside 8x8 will probably offer enough variety to produce the LWSS seeds we need. Here's one that works for the two closely-spaced LWSSes at the top of the space rake:

Code: Select all

x = 33, y = 17, rule = B3/S23
31bo$32bo$30b3o3$30b2o$29bobo$25b2o3bo$25b2o2$28b2o$28bobo$29b2o$o2bo$
4bo$o3bo$b4o!
However, there's a spark that extends to the south, so this doesn't work for the two LWSSes below the front one. For those we could use the old two-blocks-plus-beehive seed, only build the LWSSes from the opposite side -- or just wait and see what else the search turns up (it's still running).

EDIT: Aha, this one should be good enough to build the whole seed. See if you can put five of these seed+gliders on the right output lanes, and then move the gliders backward and forward (e.g., select in Golly and hit Shift+S to move by say "-10 -10", or select an area around the glider and hit Ctrl+Space) until all five LWSSes show up in the right places.

Code: Select all

x = 12, y = 13, rule = LifeHistory
.A$2.A$3A3$8.A$7.A.A$7.A.A$8.A2$6.A3.2A$5.A.A2.2A$5.2A!
It might also be useful to move the seed forward and backward along the LWSS lane, usually two cells at a time, and then adjust the position of the glider by 1 cell diagonally to make up for the move (because LWSSes travel twice as fast as gliders, c/2 instead of c/4).

Once you have a 5G space-rake seed, turning it into a 1G seed is a separate problem, so let's deal with that later.

EDIT2: Oops, you need the activation glider, too, so that will be a 6G seed. Here are the LWSS flotillas for the forerake and backrake versions:

Code: Select all

x = 92, y = 89, rule = LifeHistory
75.4B$76.4B$77.4B$78.4B$79.4B$80.4B$81.4B$82.4B$83.4B$84.4B$85.4B$86.
4B$87.2BAB$52.17B2A5BA2BA8.2B2A$52.16B4A8BA8.2A$52.16B2AB2A3BA3BA$52.
18B2A5B4A$52.27B4$52.24BA2BA$52.28BA$52.24BA3BA$52.25B4A$52.27B2$52.
24BA2BA$52.28BA$52.6BA2BA14BA3BA$52.10BA14B4A$52.6BA3BA16B$52.7B4A$
52.9B22$23.4B$24.4B$25.4B$26.4B$27.4B$28.4B$29.4B$30.4B$31.4B$32.4B$
33.4B$34.4B$35.2BAB$17B2A5BA2BA8.2B2A$16B4A8BA8.2A$16B2AB2A3BA3BA$18B
2A5B4A$27B4$24BA2BA$28BA$24BA3BA$25B4A$27B2$24BA2BA$28BA$24BA3BA$8B4A
13B4A$7BA3BA15B$11BA$7BA2BA!

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NoAyeBeardo
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Re: Glider-Powered Spaceships

Post by NoAyeBeardo » July 4th, 2020, 3:10 am

Neat! Now all we need to do is to assemble the timings and splitters.
Not inactive any more! :D

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dvgrn
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Re: Glider-Powered Spaceships

Post by dvgrn » July 5th, 2020, 10:47 pm

NoAyeBeardo wrote:
July 4th, 2020, 3:10 am
Neat! Now all we need to do is to assemble the timings and splitters.
I've just finished some searches that can help with that. More tomorrow, but here's a universal set of turners that's a bit better than the crazy awkward set of Blockic stuff I used in the old quadratic-growth seed.

EDIT: Reversed the numbering system, so that increasing category numbers now describe increasing delay of the output glider, rather than increasing advance:

Code: Select all

x = 318, y = 237, rule = LifeHistory
61.2A$61.2A$61.3B$62.3B2A$62.3BAB$62.BABA2B$62.B2A3B232.B$60.7B230.7B
$2.6D2.7D6.2D35.7B175.6D4.6D5.2D31.3B2A5B$.D6.D.D6.D4.D2.D34.6B175.D
6.D2.D6.D3.D2.D31.BA2BA6B$D9.D7.D2.D4.D33.5B175.D9.D10.D4.D30.BABA7B$
D9.D7.D2.D4.D33.6B174.D9.D10.D4.D30.2BA7B$D9.D7.D2.D2.D.D32.8B173.D9.
D10.D2.D.D28.12B$D9.D6.D3.D.D2.D31.4B2.4B172.D9.D10.D.D2.D28.2A11B$D
9.7D4.D4.D30.4B4.4B171.D9.D10.D4.D28.2A4B4.4B$D9.D10.D4.D29.4B6.4B
170.D9.D10.D4.D28.4B7.4B$.D6.D.D11.D2.D29.4B8.4B170.D6.D2.D6.D3.D2.D
28.4B9.4B$2.6D2.D12.2D29.D3B10.4B170.6D4.6D5.2D28.4B11.4B$53.D3B12.B
3A219.4B13.B3A$53.3D14.A2B218.4B15.A2B$71.A218.4B17.A$289.4B$288.4B$
287.D3B$286.D3B$286.3D5$299.2A$178.2AB118.2A$178.2AB118.4B$139.2A39.
3BA40.B76.2BA$60.A73.5B2A2B37.2BABA38.4B2.B2A69.BABA$58.BABAB69.11B
38.B2A39.6BABA69.B2A$57.3BA3B66.5BA.5B37.5B38.7B2A68.5B$56.10B63.5BAB
A5B37.5B38.9B68.5B$2.6D2.7D6.D31.11B64.5BA7B35.5B38.8B13.6D4.6D5.D34.
5B$.D6.D.D6.D4.2D30.4B.2A5B64.14B33.7B37.4B2A3B11.D6.D2.D6.D3.2D33.7B
$D9.D7.D2.D.D29.4B.ABA7B62.4B2.4B.4B31.4B.4B36.3BABA3B10.D9.D10.D.D
32.4B.4B$D9.D7.D4.D28.4B3.A9B60.4B9.4B29.4B3.4B35.3B2A3B11.D9.D12.D
31.4B3.4B$D9.D7.D4.D27.4B7.6B60.4B11.4B27.4B5.4B33.8B12.D9.D12.D30.4B
5.4B$D9.D6.D5.D26.4B9.5B59.4B13.4B25.4B7.4B31.4B.B.2B12.D9.D12.D29.4B
7.4B$D9.7D6.D25.4B12.4B57.4B15.4B23.4B9.4B29.4B3.4B11.D9.D12.D28.4B9.
4B$D9.D12.D24.4B14.4B55.4B17.4B21.4B11.4B27.4B5.4B10.D9.D12.D27.4B11.
4B$.D6.D.D12.D23.4B16.4B53.4B19.4B19.4B13.4B25.4B7.4B10.D6.D2.D6.D4.D
26.4B13.4B$2.6D2.D10.5D20.4B18.4B51.BD2B21.4B17.BD2B15.4B23.BD2B9.4B
10.6D4.6D3.5D23.BD2B15.4B$45.BD2B20.4B49.2D2B23.B3A15.2D2B17.B3A21.2D
2B11.B3A55.2D2B17.B3A$44.2D2B22.B3A49.2D25.A2B16.2D19.A2B22.2D13.A2B
56.2D19.A2B$45.2D24.A2B77.A39.A39.A79.A$72.A10$294.3B$54.4B163.2B70.B
A2B$54.4B162.3B70.ABA2B$53.B.4B157.9B68.A.AB.B$52.2A6B155.10B69.A.4B$
52.2A2B.4B113.2A2B36.4B2A2B2A72.5B$54.3B.4B112.2A2B2A3B31.4B2A2B2A2B
68.8B$2.6D2.7D6.5D25.3B3.4B111.4B2A4B30.12B16.6D4.6D5.5D26.2A2B.4B$.D
6.D.D6.D4.D5.D23.BAB5.4B109.4B.6B29.12B16.D6.D2.D6.D3.D5.D24.B2AB3.4B
$D9.D7.D2.D7.D21.BABA6.4B107.4B2.7B27.4B.8B15.D9.D10.D7.D22.4B5.4B$D
9.D7.D10.D20.2B2A8.4B105.4B3.2A6B25.4B2.2A7B14.D9.D18.D21.4B7.4B$D9.D
7.D10.D19.4B10.4B103.4B4.2A2B.4B23.4B3.2A8B13.D9.D18.D20.4B9.4B$D9.D
6.D9.2D19.4B12.4B101.4B6.3B2.4B21.4B7.8B12.D9.D16.2D20.4B11.4B$D9.7D
8.2D20.4B14.4B99.4B13.4B19.4B9.3B.4B11.D9.D14.2D21.4B13.4B$D9.D12.2D
21.4B16.4B97.4B15.4B17.4B11.B3.4B10.D9.D12.2D22.4B15.4B$.D6.D.D10.2D
22.4B18.4B95.4B17.4B15.4B17.4B10.D6.D2.D6.D2.2D23.4B17.4B$2.6D2.D10.
9D14.D3B20.4B93.4B19.4B13.4B19.4B10.6D4.6D3.9D15.D3B19.4B$44.DBD22.B
3A91.4B21.B3A11.4B21.B3A52.DBD21.B3A$44.2D24.A2B90.4B23.A2B10.D3B23.A
2B52.2D23.A2B$71.A90.4B25.A11.DBD25.A79.A$161.D3B38.2D$161.DBD$161.2D
7$62.B$61.3B$59.5B$58.2B2A3B$57.3BABA2B$57.4BABA2B236.2B$58.2B.BA3B
235.2AB$61.4B235.B2A3B$2.6D2.7D6.5D33.4B177.6D4.6D5.5D31.8B$.D6.D.D6.
D4.D5.D31.4B177.D6.D2.D6.D3.D5.D28.10B$D9.D7.D2.D7.D29.6B175.D9.D10.D
7.D26.2A9B$D9.D7.D10.D28.8B174.D9.D18.D26.2A8B$D9.D7.D9.D28.4B2.4B
173.D9.D17.D27.11B$D9.D6.D6.4D28.4B4.4B172.D9.D13.4D27.13B$D9.7D11.D
26.4B6.4B171.D9.D17.D25.4B3.8B$D9.D10.D7.D24.4B8.4B170.D9.D10.D7.D23.
4B4.3B2.4B$.D6.D.D11.D6.D23.4B10.4B170.D6.D2.D6.D3.D6.D22.4B6.2B3.4B$
2.6D2.D12.6D23.4B12.4B170.6D4.6D5.6D22.4B13.4B$51.4B14.B3A217.4B15.B
3A$50.DBDB16.A2B216.DBDB17.A2B$50.2DB18.A217.2DB19.A$51.D238.D12$58.
3B239.2A$56.3BA6B232.2B2A2B$56.2BABA6B230.7B$56.2B2A7B229.8B$57.10B
228.4B.A2B$2.6D2.7D4.D37.8B175.6D4.6D3.D32.4B.ABA2B$.D6.D.D6.D3.D38.
6B175.D6.D2.D6.D2.D31.4B2.A.AB$D9.D7.D2.D5.D33.4B175.D9.D10.D5.D24.4B
4.A4B$D9.D7.D2.D5.D32.6B174.D9.D10.D5.D23.4B5.6B$D9.D7.D2.D5.D31.8B
173.D9.D10.D5.D22.4B5.8B$D9.D6.D3.D5.D30.4B2.4B172.D9.D10.D5.D21.4B7.
8B$D9.7D4.9D27.4B4.4B171.D9.D10.9D18.4B10.2B.4B$D9.D16.D28.4B6.4B170.
D9.D16.D19.4B15.4B$.D6.D.D16.D27.4B8.4B170.D6.D2.D6.D8.D18.4B17.4B$2.
6D2.D16.D26.4B10.4B170.6D4.6D9.D17.4B19.4B$53.D3B12.B3A211.D3B22.3A$
52.D3B14.A2B210.D3B23.A2B$52.3D16.A211.3D25.A17$60.4B$2.6D2.7D4.9D29.
6B177.6D4.6D3.9D32.2A$.D6.D.D6.D3.D36.7B176.D6.D2.D6.D2.D40.2A$D9.D7.
D2.D35.9B174.D9.D10.D40.4B$D9.D7.D2.D34.3B2A7B172.D9.D10.D40.B.2B$D9.
D7.D2.7D27.3BABA8B171.D9.D10.7D32.2A5B$D9.D6.D10.D25.5BA9B171.D9.D17.
D30.ABAB.4B$D9.7D12.D23.16B171.D9.D18.D28.B2AB3.4B$D9.D18.D22.12B2.4B
170.D9.D18.D27.4B5.4B$.D6.D.D10.D6.D22.BD2B3.2AB.B4.4B170.D6.D2.D6.D
2.D6.D27.4B7.4B$2.6D2.D11.6D22.2D2B4.2A8.4B170.6D4.6D4.6D27.4B9.4B$
51.2D16.B3A221.4B11.4B$70.A2B220.4B13.4B$71.A220.4B15.4B$291.4B17.4B$
290.4B19.4B$289.4B21.B3A$288.4B23.A2B$287.BD2B25.A$286.2D2B$287.2D6$
63.2B2A$62.3BAB229.2B$62.BABAB228.3B$62.B2A2B227.5B$60.6B227.6B$2.6D
2.7D6.6D31.5B177.6D4.6D5.6D23.3BA3B.4B$.D6.D.D6.D4.D6.D30.4B177.D6.D
2.D6.D3.D6.D21.3BABA2B.4B$D9.D7.D2.D37.6B175.D9.D10.D28.5BA9B$D9.D7.D
2.D36.8B174.D9.D10.D27.4B2.3B2A6B$D9.D7.D2.7D29.4B2.4B173.D9.D10.7D
20.4B3.2BABA7B$D9.D6.D3.D6.D27.4B4.4B172.D9.D10.D6.D18.4B4.2B2A9B$D9.
7D4.D7.D25.4B6.4B171.D9.D10.D7.D16.4B5.14B$D9.D10.D7.D24.4B8.4B170.D
9.D10.D7.D15.4B8.4B2.2B.4B$.D6.D.D11.D5.D24.4B10.4B170.D6.D2.D6.D3.D
5.D15.D3B19.4B$2.6D2.D12.5D24.4B12.4B170.6D4.6D5.5D16.DBD21.4B$51.D3B
14.B3A211.2D23.B3A$51.DBD16.A2B237.A2B$51.2D18.A239.A12$58.AB$57.A.A
2B$58.2A2B$56.7B$55.2A5B146.6B85.2A$54.B2A5B146.7B83.ABA$2.6D2.7D4.9D
23.4B2.4B144.2A6B27.6D4.6D3.9D27.2BA3B$.D6.D.D6.D10.D23.4B4.4B142.B2A
5B27.D6.D2.D6.D9.D26.9B$D9.D7.D8.D23.4B6.4B140.10B25.D9.D16.D24.5BA7B
$D9.D7.D7.D23.4B8.4B139.11B24.D9.D15.D25.4BABA2B.4B$D9.D7.D6.D23.4B
10.4B139.11B23.D9.D14.D26.4B2A3B2.4B$D9.D6.D7.D22.4B12.4B138.3B2A2B.
4B22.D9.D14.D26.9B3.4B$D9.7D7.D22.4B14.4B135.2A3B2A2B2.4B21.D9.D13.D
27.7B6.4B$D9.D13.D21.4B16.4B134.2A6B4.4B20.D9.D13.D26.8B7.4B$.D6.D.D
12.D21.4B18.4B135.5B6.4B20.D6.D2.D6.D4.D26.4B3.B9.4B$2.6D2.D12.D20.4B
20.4B133.4B9.4B20.6D4.6D5.D25.4B15.4B$43.DBDB22.B3A131.4B11.B3A65.4B
17.B3A$43.2DB24.A2B130.4B13.A2B64.4B19.A2B$44.D26.A130.4B15.A64.4B21.
A$201.4B80.4B$200.DBDB80.4B$200.2DB80.4B$201.D80.DBDB$282.2DB$283.D!
The search also found lots of G->2G one-time splitters --

Code: Select all

x = 31, y = 46885, rule = B3/S23
16b2o$16b2o3$18b2o$17bobo$18bo4$21b3o$21bo$22bo50$11b2o$11b2o3$11b2o$
11bobo$12bobo$13bo3$21b3o$21bo$22bo50$18bo$17bobo$17b2o3$19b2o$18bobo$
19bo3$21b3o$21bo$22bo50$18b2o$18b2o3$18b2o$17bobo$16bobo$17bo3$21b3o$
21bo$22bo50$9bo$8bobo$7bobo$7b2o3$7b2o$7b2o3$21b3o$21bo$22bo50$17bo$
16bobo$17b2o3$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$18b2o$19bo$16b3o$
16bo2$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$14bo$13bobo$13b2o3$12bo$11b
obo$12b2o3$21b3o$21bo$22bo50$16bo$15bobo$15bobo$16bo2$13b2o$13bobo$14b
2o3$21b3o$21bo$22bo50$15b2o$15b2o2b2o$19b2o3$18b2o$18bobo$19bo3$21b3o$
21bo$22bo50$12b2o$11bo2bo$12b2o3$11b2o$11b2o2b2o$15b2o3$21b3o$21bo$22b
o50$13b2o$14bo$14bobo$15b2o$11b2o$11b2o$15b2o$15b2o3$21b3o$21bo$22bo
50$12b2o$12bobo$13bobo$14bo$11bo$10bobo$10bobo$11bo3$21b3o$21bo$22bo
50$9b2o$9b2o3$7b2o$8bo$5b3o$5bo3$21b3o$21bo$22bo50$19bo$18bobo$19b2o$
15b2o$15b2o$19bo$18bobo$18b2o3$21b3o$21bo$22bo50$11bo$10bobo$10b2o2$7b
2o$7b2o$11b2o$11b2o3$21b3o$21bo$22bo50$7b2o$7b2o3bo$11bobo$11b2o7$21b
3o$21bo$22bo50$18b2o2b2o$18b2o2b2o3$19b2o$19b2o2b2o$23b2o4$21b3o$21bo$
22bo50$16b2o3b2o$16b2o3b2o3$18b2o$17bobo$18bo4$21b3o$21bo$22bo50$4b2o
3bo$4b2o2bobo$9b2o2$5b2o$5b2o2b2o$9b2o4$21b3o$21bo$22bo50$5b2o$5b2o2b
2o$9b2o2$5b2o$5b2o3b2o$10b2o4$21b3o$21bo$22bo50$19b2o$19b2o2b2o$23b2o
2$20bo$19bobo2b2o$20b2o2b2o4$21b3o$21bo$22bo50$7b2o$7b2o3bo$11bobo$11b
2o2$7b2o$7b2o4$21b3o$21bo$22bo50$20b2o3b2o$20bobo2b2o$21bo2$25b2o$20b
2o2bobo$20b2o2b2o4$21b3o$21bo$22bo50$3b2o3b2o$3bobo2b2o$4bo2$8b2o$3b2o
2bobo$3b2o2b2o4$21b3o$21bo$22bo50$18b2o2b2o$18b2o2b2o4$17b2o2b2o$17b2o
2b2o4$21b3o$21bo$22bo50$18b2o$17bo2bo$17bo2bo$18b2o$22b2o$21bobo$21b2o
4$21b3o$21bo$22bo50$7b2o$6bo2bo$6bo2bo$7b2o$11b2o$10bobo$10b2o4$21b3o$
21bo$22bo50$17b2o$17b2o3$16bo$15bobo2b2o$15b2o3b2o4$21b3o$21bo$22bo50$
11b2o$6b2o3b2o$6b2o2$11b2o$6b2o3b2o$6b2o4$21b3o$21bo$22bo50$13b2o$12bo
bo$8b2o3bo$8b2o2$13b2o$13b2o4$21b3o$21bo$22bo50$13b2o2b2o$13b2o2bobo$
18b2o2$15b2o$14bobo$13bobo$14bo3$21b3o$21bo$22bo50$11b2o3b2o$11b2o2bob
o$16bo2$11b2o$11b2o3bo$15bobo$15b2o3$21b3o$21bo$22bo50$10b2o3b2o$10b2o
2bobo$15bo3$15b2o$14bobo$15bo3$21b3o$21bo$22bo50$9b2o3b2o$9b2o2bobo$
14bo3$14bo$13bobo$14bo3$21b3o$21bo$22bo50$4b2o3bo$4b2o2bobo$8b2o3$6bo$
5bobo$5b2o3$21b3o$21bo$22bo50$16b2o3bo$16b2o2bobo$20bobo$21bo$16b2o$
16bobo$18bo$18b2o3$21b3o$21bo$22bo50$5b2o3b2o$5b2o2bobo$9b2o3$7bo$6bob
o$6b2o3$21b3o$21bo$22bo50$12b2o3b2o$12b2o2bobo$16b2o3$15bo$14bobo$15bo
3$21b3o$21bo$22bo50$7b2o$7b2o3bo$11bobo$11b2o2$7b2o$7bobo$8bo3$21b3o$
21bo$22bo50$7b2o$7b2o3bo$11bobo$11b2o2$7b2o$7bobo$8b2o3$21b3o$21bo$22b
o50$7b2o$7b2o3bo$11bobo$11b2o2$8bo$7bobo$8b2o3$21b3o$21bo$22bo50$7b2o$
7b2o3bo$11bobo$11b2o2$8bo$7bobo$8bo3$21b3o$21bo$22bo50$6b2o$6b2o$10b2o
$10bobo$11bo$7b2o$6bobo$6b2o3$21b3o$21bo$22bo50$2b2o3b2o$2bobo2b2o$3bo
4$2b2o$2b2o3$21b3o$21bo$22bo50$15b2o$15bobo2b2o$16bo3b2o3$20bo$15b2o2b
obo$15b2o2b2o3$21b3o$21bo$22bo50$16b2o$16bobo2b2o$17bo3b2o3$21bo$16b2o
2bobo$16b2o3bo3$21b3o$21bo$22bo50$15b2o$15bobo$16bo3$20b2o$16b2o2b2o$
16b2o3$21b3o$21bo$22bo50$11b2o3b2o$11bobo2b2o$12b2o3$12b2o$12bobo$13bo
3$21b3o$21bo$22bo50$6b2o$6bobo$7b2o$11bo$10bobo$10b2o$6b2o$6b2o3$21b3o
$21bo$22bo50$16b2o$16bobo$17b2o2$21bo$20bobo$19bo2bo$20b2o3$21b3o$21bo
$22bo50$21b2o2b2o$21b2o2b2o3$20bo$20b3o$23bo$22b2o3$21b3o$21bo$22bo50$
16b2o$16b2o2b2o$20b2o2$17bo$16bobo$15bobo$15b2o3$21b3o$21bo$22bo50$21b
2o$21b2o3$25b2o$21b2o2b2o$20bobo$20b2o3$21b3o$21bo$22bo50$12b2o$12bobo
$13bo$16b2o$11bo4b2o$11b3o$14bo$13b2o3$21b3o$21bo$22bo50$9b2o$9bobo$
10bo3$12b2o$8b2o2bobo$8b2o3bo3$21b3o$21bo$22bo50$24b2o2b2o$23bobo2b2o$
24bo3$28b2o$23b2o2bobo$23b2o2b2o3$21b3o$21bo$22bo50$23bo$22bobo2b2o$
23b2o2b2o3$26b2o$22b2o2bobo$22b2o3bo3$21b3o$21bo$22bo50$21bo$20bobo$
21b2o3$20b2o3b2o$20b2o2bobo$24b2o3$21b3o$21bo$22bo50$8bo$7bobo2b2o$7b
2o3b2o3$7b2o2b2o$7b2o2bobo$12bo3$21b3o$21bo$22bo50$23bo$22bobo$22b2o3$
27bo$22b2o2bobo$22b2o2b2o3$21b3o$21bo$22bo50$7bo$6bobo$6b2o4$11b2o$11b
2o3$21b3o$21bo$22bo50$6bo3b2o$5bobo2b2o$6bo3$5b2o3b2o$5bobo2b2o$6bo3$
21b3o$21bo$22bo50$5b2o2b2o$4bobo2b2o$4b2o2$7b2o$8bo$5b3o$5bo3$21b3o$
21bo$22bo50$18b2o$17bobo2b2o$17b2o3b2o3$19b2o$18bobo$19bo3$21b3o$21bo$
22bo50$14b2o$13bobo$13b2o$18b2o$17bobo$14bo3bo$13bobo$13b2o3$21b3o$21b
o$22bo50$22b2o$21bo2bo$22bobo$23bo2$25bo$20b2o2bobo$20b2o2b2o3$21b3o$
21bo$22bo50$16b2o$17bo$14b3o$14bo4bo$18bobo$19b2o$15b2o$15b2o3$21b3o$
21bo$22bo50$21b2o$22bo$19b3o$19bo3$20b2o2b2o$20b2o2b2o3$21b3o$21bo$22b
o50$18b2o$17bobo$17bo$16b2o$20b2o$20bobo$16b2o3b2o$16b2o3$21b3o$21bo$
22bo50$14b2o$13bobo$14bo2$11b2o$11b2o3bo$15bobo$15b2o3$21b3o$21bo$22bo
50$10bo$9bobo$10b2o3$7b2o3b2o$7bobo2b2o$8bo3$21b3o$21bo$22bo50$23bo$
21b3o$20bo$20b2o$24b2o$24bobo$20b2o3b2o$20b2o3$21b3o$21bo$22bo50$8b2o$
9bo$6b3o$6bo$10bo$9bobo$5b2o2b2o$5b2o3$21b3o$21bo$22bo50$23b2o$23bobo$
24bobo$20b2o3bo$20b2o2$24b2o$24b2o3$21b3o$21bo$22bo50$8b2o$8b2o$5bo$4b
obo$5bo3b2o$8bobo$7bobo$8bo3$21b3o$21bo$22bo50$24b2o$24b2o2$20b2o$20b
2o4bo$24b3o$23bo$23b2o3$21b3o$21bo$22bo50$15b2o$15b2o3$11b2o$11b2o3bo$
15bobo$15b2o3$21b3o$21bo$22bo50$24b2o$24b2o3$24b2o$24bobo$20b2o3bo$20b
2o3$21b3o$21bo$22bo50$9b2o$5b2o2bobo$5b2o3bo2$8bo$6b3o$5bo$5b2o3$21b3o
$21bo$22bo50$15b2o$15bobo$16bo2$11b2o$11b2o3bo$15bobo$15b2o3$21b3o$21b
o$22bo50$19b2o$18bo2bo$19b2o$15b2o$15b2o$19bo$18bobo$18b2o3$21b3o$21bo
$22bo50$23b2o$22bo2bo$22bo2bo$23b2o2$19b2o$19b2o3b2o$24b2o3$21b3o$21bo
$22bo50$10b2o$5b2o3b2o$5b2o3$5b2o3b2o$5b2o2bobo$9b2o3$21b3o$21bo$22bo
50$26b2o$21b2o2bobo$21b2o3bo3$22bo$21bobo2b2o$22bo3b2o3$21b3o$21bo$22b
o50$19b2o$18bobo$19bo3$15bo3b2o$14bobo2b2o$14b2o3$21b3o$21bo$22bo50$8b
o$7bobo$4bo3b2o$3bobo$4bo$7b2o$7bobo$8bo3$21b3o$21bo$22bo50$14bo$9b2o
2bobo$9b2o2b2o3$12bo$11bobo$12b2o3$21b3o$21bo$22bo50$7bo$6bobo$2b2o2b
2o$2b2o3$6b2o$6b2o3$21b3o$21bo$22bo50$8bo$7bobo$8bo3$8bo$3b2o2bobo$3b
2o3b2o3$21b3o$21bo$22bo50$13b2o$12bobo$8b2o2b2o$8b2o2$12b2o$8b2o2b2o$
8b2o3$21b3o$21bo$22bo50$6b2o$5bobo$5b2o$2bo$bobo$b2o3bo$5bobo$5b2o3$
21b3o$21bo$22bo50$21bo$20bobo$19bo2bo$20b2o$16b2o$16bo$17b3o$19bo3$21b
3o$21bo$22bo50$16b2o$15bobo$14bobo$15bo2$12b2o$11bobo$12bo3$21b3o$21bo
$22bo50$12b2o2b2o$12b2o2bobo$17bobo$18bo7$21b3o$21bo$22bo50$7b2o$6bobo
3bo$7bo3bobo$11b2o7$21b3o$21bo$22bo50$18b2o2b2o$17bobo2b2o$16bobo$17bo
7$21b3o$21bo$22bo50$13bo$12bobo$7b2o2bobo$7b2o2b2o7$21b3o$21bo$22bo50$
8bo$7bobo$8b2o3bo$12bobo$12b2o6$21b3o$21bo$22bo50$9b2o$9bo$7bobo3bo$7b
2o3bobo$12b2o6$21b3o$21bo$22bo50$15b2o$15bobo$11b2o3b2o$10bo2bo$11b2o
6$21b3o$21bo$22bo50$18bo$17bobo$13b2o3b2o$12bobo$13bo6$21b3o$21bo$22bo
50$8b2o$8b2o2$13b2o$9b2o2bobo$9b2o3bo5$21b3o$21bo$22bo50$13bo3b2o$12bo
bo2b2o$12bobo$13bo$18b2o$18b2o5$21b3o$21bo$22bo50$11b2o$11b2o2$9bo4b2o
$8bobo2bobo$9b2o3bo5$21b3o$21bo$22bo50$16b2o$16b2o$12bo$12b3o$15bo2b2o
$14b2o2b2o5$21b3o$21bo$22bo50$20b2o$20b2o2$17b2o$16bobo3b2o$17bo4b2o5$
21b3o$21bo$22bo50$18b2o$17bo2bo$13b2o3b2o$13bobo$14bobo$15bo5$21b3o$
21bo$22bo50$24b2o$24bo$22bobo$22b2o$18b2o$18b2o5$21b3o$21bo$22bo50$12b
2o2b2o$12b2o2b2o3$13bo4b2o$12bobo2bobo$12b2o4bo4$21b3o$21bo$22bo50$7b
2o2b2o$7b2o2bo$12b3o$14bo$8b2o$7bo2bo$8b2o4$21b3o$21bo$22bo50$16b2o3b
2o$16b2o3bobo$22bo2$18b2o$17bobo$18bo4$21b3o$21bo$22bo50$16b2o3b2o$16b
2o3bobo$22b2o2$18b2o$17bobo$18bo4$21b3o$21bo$22bo50$16b2o4bo$16b2o3bob
o$22b2o2$18b2o$17bobo$18bo4$21b3o$21bo$22bo50$16b2o4bo$16b2o3bobo$22bo
2$18b2o$17bobo$18bo4$21b3o$21bo$22bo50$17b2o4b2o$17b2o3bobo$22b2o2$19b
2o$19bobo$20bo4$21b3o$21bo$22bo50$10b2o4bo$10b2o3bobo$14bobo$14b2o$10b
2o$10bobo$11b2o4$21b3o$21bo$22bo50$19b2o$19b2o4b2o$24bobo$25bo$20b2o$
19bobo$20bo4$21b3o$21bo$22bo50$18b2o$18b2o4b2o$23bobo$24bo$19b2o$18bob
o$18b2o4$21b3o$21bo$22bo50$11b2o$11b2o$17bo$16bobo$12b2o3bo$11bobo$11b
2o4$21b3o$21bo$22bo50$13b2o$13b2o3$14bo4bo$13bobo2bobo$13b2o3b2o4$21b
3o$21bo$22bo50$14b2o$14b2o3$15bo4bo$14bobo2bobo$14b2o4bo4$21b3o$21bo$
22bo50$8b2o4b2o$8bobo3b2o$9bo2$14b2o$9b2o2bobo$9b2o3bo4$21b3o$21bo$22b
o50$7b2o4b2o$7bobo3b2o$8bo2$13bo$8b2o2bobo$8b2o3bo4$21b3o$21bo$22bo50$
21b2o4b2o$21bobo3b2o$22bo3$21b2o$21b2o4$21b3o$21bo$22bo50$8b2o$8bobo3b
2o$9bo4b2o3$13b2o$13b2o4$21b3o$21bo$22bo50$17b2o4b2o$17bobo3b2o$18b2o
2$21b2o$20bobo$21bo4$21b3o$21bo$22bo50$12b2o$12bobo2b2o$13b2o2bobo$18b
o2$12b2o$12b2o4$21b3o$21bo$22bo50$7b2o$7bobo$8b2o$13bo$12bobo$11bo2bo$
12b2o4$21b3o$21bo$22bo50$19b2o2b2o$19b2o2b2o3$24b2o$18b2o3bobo$18b2o3b
2o4$21b3o$21bo$22bo50$3b2o3bo$3b2o2bobo$8bo2$3bo$2bobo3b2o$2b2o4b2o4$
21b3o$21bo$22bo50$19b2o3b2o$19b2o2bobo$23bo$22b2o$18b2o$18bobo$19bo4$
21b3o$21bo$22bo50$15b2o$15b2o$20bo$19bobo$15b2o3b2o$14bobo$15bo4$21b3o
$21bo$22bo50$17b2o2b2o$16bobo2b2o$17bo2$21b2o$17b2o2bobo$17b2o3bo4$21b
3o$21bo$22bo50$2b2o3b2o$bobo3b2o$2bo2$7b2o$6bobo$7bo4$21b3o$21bo$22bo
50$18b2o$17bobo$18bo3$23b2o$23b2o4$21b3o$21bo$22bo50$4bo3b2o$3bobo2b2o
$4b2o2$9b2o$8bobo$8b2o4$21b3o$21bo$22bo50$2bo4b2o$bobo3b2o$2b2o2$6b2o$
2b2o2bobo$2b2o3bo4$21b3o$21bo$22bo50$bo4b2o$obo3b2o$2o2$6b2o$2o3bobo$
2o3b2o4$21b3o$21bo$22bo50$19bo3b2o$18bobo2bobo$19bo4bo3$18b2o3b2o$18b
2o3b2o4$21b3o$21bo$22bo50$11b2o3b2o$10bobo2bobo$10b2o4bo2$14bo$13bobo$
13b2o4$21b3o$21bo$22bo50$7b2o$6bobo3bo$6b2o3bobo$11b2o2$7b2o$7b2o4$21b
3o$21bo$22bo50$20b2o$19bobo3b2o$19b2o4bo$23bobo$23b2o$19b2o$19b2o4$21b
3o$21bo$22bo50$17b2o2b2o$17b2o2b2o3$16b2o2b2o$15bobo2b2o$15b2o4$21b3o$
21bo$22bo50$23b2o$23b2o3$22b2o3b2o$21bobo3b2o$22bo4$21b3o$21bo$22bo50$
5b2o2b2o$4bobo2b2o$4bo$3b2o$7b2o$7bobo$8b2o4$21b3o$21bo$22bo50$11b2o$
11bo3b2o$9bobo3b2o$9b2o$13bo$12bobo$13b2o4$21b3o$21bo$22bo50$6b2o$6bo
3b2o$4bobo3b2o$4b2o2$10b2o$10b2o4$21b3o$21bo$22bo50$6b2o$6b2o2$3b2o$3b
obo3b2o$4bobo2b2o$5bo4$21b3o$21bo$22bo50$11b2o$11b2o2$9bo4b2o$8bobo2bo
bo$8bobo3bo$9bo4$21b3o$21bo$22bo50$6b2o$6b2o2$9b2o$3b2o3bobo$3b2o3bo$
7b2o4$21b3o$21bo$22bo50$22bo$21bobo$22bo$25bo$19b2o3bobo$19b2o2bobo$
23b2o4$21b3o$21bo$22bo50$23bo$22bobo$23bo2$21bo3b2o$20bobo2bobo$21b2o
3bo4$21b3o$21bo$22bo50$16b2o$16b2o$13bo$12bobo$12b2o4b2o$17bobo$18bo4$
21b3o$21bo$22bo50$16b2o$16b2o3$12b2o4b2o$12b2o3bobo$18bo4$21b3o$21bo$
22bo50$16b2o$16b2o3$12b2o4b2o$12bobo2bobo$13bo4bo4$21b3o$21bo$22bo50$
26b2o$25bobo$26bo2$23b2o3b2o$22bobo2bobo$22b2o4bo4$21b3o$21bo$22bo50$
7b2o$3b2o3bo$3b2o3bobo$9b2o2$3b2o$3b2o4$21b3o$21bo$22bo50$16b2o$12b2o
3bo$12bobo2bobo$13bo4b2o2$15b2o$15b2o4$21b3o$21bo$22bo50$11b2o$11bobo$
13bo$9bo3b2o$8bobo$7bo2bo$8b2o4$21b3o$21bo$22bo50$9b2o$9b2o2$5b2o$4bo
2bo$4bo2bo2b2o$5b2o3b2o4$21b3o$21bo$22bo50$21b2o$21bobo$17bo4bo$16bobo
$17b2o$21b2o$21b2o4$21b3o$21bo$22bo50$21b2o$15b2o4b2o$15bobo$16bo$20b
2o$20bobo$21bo4$21b3o$21bo$22bo50$9b2o$4bo4b2o$3bobo$3bo2bo$4b2o3b2o$
8bobo$9bo4$21b3o$21bo$22bo50$24b2o$20b2o2b2o$20bo$18bobo$18b2o3b2o$22b
obo$23bo4$21b3o$21bo$22bo50$9b2o$9b2o3$3b2o2b2o$3b2o2bobo$8bo4$21b3o$
21bo$22bo50$26b2o$26b2o3$21bo4bo$20bobo2bobo$21bo4b2o4$21b3o$21bo$22bo
50$15b2o$14bobo$15bo2$10bo$9bobo2b2o$9b2o3b2o4$21b3o$21bo$22bo50$18bo$
17bobo$17b2o$14bo$13bobo$12bobo$12b2o4$21b3o$21bo$22bo50$9b2o$3b2o3bob
o$3b2o3b2o3$7b2o$7b2o4$21b3o$21bo$22bo50$14b2o$8b2o3bobo$8b2o2bobo$13b
o2$9b2o$9b2o4$21b3o$21bo$22bo50$2b2o2b2o$2b2o2b2o3$6b2o$6bobo$7bobo$8b
o3$21b3o$21bo$22bo50$3b2o2b2o$3b2o2b2o4$4bo4b2o$3bobo3b2o$4b2o3$21b3o$
21bo$22bo50$5b2o2b2o$5b2o2bobo$10b2o3$6b2o$5bobo3b2o$6bo4b2o3$21b3o$
21bo$22bo50$5b2o2b2o$5b2o2bobo$11bo$11b2o$6b2o$6bobo$8bo$8b2o3$21b3o$
21bo$22bo50$7b2o2b2o$7b2o2bo$12b3o$14bo$8bo$7bobo$7bobo2b2o$8bo3b2o3$
21b3o$21bo$22bo50$10b2o2b2o$10b2o2bo$15b3o$17bo2$13bo$12bobo$12b2o3$
21b3o$21bo$22bo50$3b2o3b2o$3b2o3b2o3$3b2o4b2o$3bobo2bobo$4bo3bo$7b2o3$
21b3o$21bo$22bo50$10b2o3b2o$10b2o3b2o3$11b2o$10bobo3bo$11bo3bobo$15b2o
3$21b3o$21bo$22bo50$15b2o3b2o$15b2o3b2o3$16bo4b2o$15bobo3b2o$15bobo$
16bo3$21b3o$21bo$22bo50$4b2o3b2o$4b2o3b2o3$5bo4bo$4bobo2bobo$4bobo3bo$
5bo3$21b3o$21bo$22bo50$10b2o3b2o$10b2o3bobo$16bo2$11b2o$11b2o3bo$15bob
o$15b2o3$21b3o$21bo$22bo50$13b2o3b2o$13b2o3bobo$19bo3$14b2o$13bobo$13b
2o3$21b3o$21bo$22bo50$13b2o3bo$13b2o2bobo$17b2o3$13b2o4b2o$13b2o3bobo$
19bo3$21b3o$21bo$22bo50$19b2o3bo$19b2o2bobo$23b2o3$20b2o3b2o$19bobo2bo
bo$19b2o3b2o3$21b3o$21bo$22bo50$16b2o3b2o$16b2o2bo2bo$21b2o2$16b2o$16b
obo3b2o$18bo3b2o$18b2o3$21b3o$21bo$22bo50$15b2o3b2o$15b2o2bo2bo$20b2o
2$17b2o$16bobo$16bo$15b2o3$21b3o$21bo$22bo50$19b2o3b2o$19b2o2bo2bo$24b
2o3$19b2o3bo$19b2o2bobo$24bo3$21b3o$21bo$22bo50$8b2o3b2o$8b2o2bo2bo$
13b2o3$8b2o$8b2o2b2o$12b2o3$21b3o$21bo$22bo50$13b2o3b2o$13b2o2bo2bo$
18b2o3$14b2o$13bo2bo$14b2o3$21b3o$21bo$22bo50$9b2o3b2o$9b2o2bo2bo$13bo
2bo$14b2o3$9b2o4b2o$9b2o4b2o3$21b3o$21bo$22bo50$2b2o3b2o$2b2o3bobo$8b
2o2$4bo$3bobo$3bo2bo$4b2o3$21b3o$21bo$22bo50$5b2o3b2o$5b2o2bobo$9bo$8b
2o2$6bo4bo$5bobo2bobo$6b2o3bo3$21b3o$21bo$22bo50$14b2o4b2o$14b2o4b2o3$
15b2o$14bo2bo$14bo2bo2b2o$15b2o3b2o3$21b3o$21bo$22bo50$18b2o4bo$18b2o
3bobo$24b2o$21bo$19b3o$18bo5bo$18b2o3bobo$24bo3$21b3o$21bo$22bo50$20b
2o4bo$20b2o3bobo$26b2o2$20b2o$20b2o$25b2o$25b2o3$21b3o$21bo$22bo50$18b
2o4bo$18b2o3bobo$24b2o3$19b2o3b2o$19bobo2b2o$20bo3$21b3o$21bo$22bo50$
18b2o4bo$18b2o3bobo$23b2o2$18b2o$18bobo$19b2o3b2o$24b2o3$21b3o$21bo$
22bo50$11b2o4bo$11b2o3bobo$16b2o2$12bo$12b3o$15bo$14b2o3$21b3o$21bo$
22bo50$3b2o4bo$3b2o3bobo$8b2o3$6b2o$5bo2bo$6b2o3$21b3o$21bo$22bo50$10b
2o4bo$10b2o3bobo$15bobo$16bo$11bo$10bobo$10bobo$11bo3$21b3o$21bo$22bo
50$15b2o4bo$15b2o3bobo$20bobo$21bo2$16b2o$15bobo$15b2o3$21b3o$21bo$22b
o50$16b2o4bo$16b2o3bobo$22bo2$18b2o$17bobo2b2o$16bobo3b2o$17bo3$21b3o$
21bo$22bo50$13b2o4bo$13b2o3bobo$19bo3$15bo3b2o$14bobo2b2o$14b2o3$21b3o
$21bo$22bo50$4b2o4b2o$4b2o3bobo$9b2o2$5b2o$4bobo3b2o$5bo3bobo$9b2o3$
21b3o$21bo$22bo50$10b2o4b2o$10b2o3bobo$15b2o3$10b2o$10bobo$11bo3$21b3o
$21bo$22bo50$8b2o4b2o$8b2o3bobo$13b2o3$9b2o$8bo2bo$9b2o3$21b3o$21bo$
22bo50$4b2o4b2o$4b2o3bobo$9b2o3$7b2o$6bo2bo$7b2o3$21b3o$21bo$22bo50$9b
2o4b2o$9b2o3bobo$14bo$13b2o2$9b2o$9b2o2b2o$13b2o3$21b3o$21bo$22bo50$7b
2o4bo$7b2o3bobo$11bobo$11b2o2$8bo$7bobo2b2o$8bo3b2o3$21b3o$21bo$22bo
50$13b2o$13b2o2b2o$17b2o2$14b2o$14b2o3b2o$18bobo$19bo3$21b3o$21bo$22bo
50$10b2o$10b2o2b2o$14b2o2$11b2o$11b2o3bo$15bobo$15b2o3$21b3o$21bo$22bo
50$13b2o$13b2o2b2o$17b2o3$13b2o4b2o$13bobo2bobo$14bo4bo3$21b3o$21bo$
22bo50$12b2o$12b2o2b2o$17bo$17bobo$18b2o$13b2o$12bobo$13bo3$21b3o$21bo
$22bo50$11b2o$11b2o2b2o$15bobo$17bo$12b2o3b2o$12bobo$14bo$14b2o3$21b3o
$21bo$22bo50$18b2o$18b2o2b2o$22bo$23b3o$18b2o5bo$18bo$19b3o$21bo3$21b
3o$21bo$22bo50$12b2o$12b2o2b2o$16bo$17b3o$13b2o4bo$13bo$14b3o$16bo3$
21b3o$21bo$22bo50$13b2o$13b2o2b2o$17bo$18b3o$20bo2$14b2o$14b2o3$21b3o$
21bo$22bo50$15b2o$15b2o3b2o$20b2o3$17bo$16bobo2b2o$17bo3b2o3$21b3o$21b
o$22bo50$5b2o$5b2o3b2o$10bobo$11bo2$6bo$5bobo2b2o$6b2o2b2o3$21b3o$21bo
$22bo50$21b2o$21b2o3b2o$25bo2bo$26bobo$27bo$21b2o$21bobo$22b2o3$21b3o$
21bo$22bo50$10b2o$10b2o4b2o$16b2o2$11b2o$11bobo$13bo$13b2o3$21b3o$21bo
$22bo50$10b2o$10b2o4b2o$15bobo$16bo2$11bo$10bobo2b2o$11bo3b2o3$21b3o$
21bo$22bo50$13b2o$13b2o4b2o$18bobo$19bo2$15b2o$14bobo$14b2o3$21b3o$21b
o$22bo50$8b2o$8b2o4bo$13bobo$14bo2$9b2o$9b2o3b2o$14b2o3$21b3o$21bo$22b
o50$10b2o$10b2o4b2o$15bobo$15b2o2$12bo$11bobo$11b2o3$21b3o$21bo$22bo
50$13b2o$13b2o$19b2o$18bobo$13b2o4bo$13bobo$15bo$15b2o3$21b3o$21bo$22b
o50$20b2o$20b2o$26bo$25bobo$25bobo$21b2o3bo$20bobo$21bo3$21b3o$21bo$
22bo50$19b2o$19b2o$25bo$24bobo$24bobo$20b2o3bo$19bobo$19b2o3$21b3o$21b
o$22bo50$21b2o$21b2o3$21b2o2b2o$21b2o2bobo$26bobo$27bo3$21b3o$21bo$22b
o50$19b2o$19b2o3$25b2o$24bobo$19b2o3bo$19b2o2b2o3$21b3o$21bo$22bo50$
23b2o3b2o$23bobo2b2o$24bo2$29b2o$24bo3bobo$23bobo2b2o$23b2o3$21b3o$21b
o$22bo50$3b2o3b2o$3bobo2b2o$4bo2$9b2o$8bobo$4b2o2b2o$4b2o3$21b3o$21bo$
22bo50$23b2o3b2o$23bobo2bobo$24bo4b2o3$24b2o2b2o$23bobo2bobo$23b2o4bo
3$21b3o$21bo$22bo50$15b2o4b2o$15bobo3b2o$16bo2$18b2o$17bo2bo$18bobo$
19bo3$21b3o$21bo$22bo50$15b2o4b2o$15bobo3b2o$16bo2$19b2o$18bo2bo$18bob
o$19bo3$21b3o$21bo$22bo50$21b2o4b2o$21bobo3b2o$22bo2$27b2o$21b2o3bobo$
21b2o3bo$25b2o3$21b3o$21bo$22bo50$4b2o4b2o$4bobo3b2o$5bo3$5b2o3b2o$4bo
bo2bobo$5bo3b2o3$21b3o$21bo$22bo50$4b2o4b2o$4bobo3b2o$5bo3$5b2o3b2o$4b
obo2bobo$4b2o3b2o3$21b3o$21bo$22bo50$19b2o4b2o$19bobo3b2o$20bo3$21bo$
20bobo$20b2o3$21b3o$21bo$22bo50$2o4b2o$obo2bobo$bo4bo3$2o3b2o$2o2bobo$
4b2o3$21b3o$21bo$22bo50$15b2o4bo$15bobo2bobo$16bo3b2o3$16b2o3b2o$15bob
o3b2o$15b2o3$21b3o$21bo$22bo50$19b2o4bo$19bobo2bobo$20bo3b2o3$25b2o$
19b2o3bobo$19b2o3b2o3$21b3o$21bo$22bo50$9b2o4bo$9bobo2bobo$10bo4bo3$
11bo$10bobo$11b2o3$21b3o$21bo$22bo50$19b2o4b2o$19bobo2bobo$20bo3b2o2$
22bo$21bobo$20bobo$20b2o3$21b3o$21bo$22bo50$2o4b2o$obo2bobo$bo3b2o3$2o
3b2o$obo2bobo$b2o3bo3$21b3o$21bo$22bo50$8b2o4b2o$8bobo2bobo$9bo3b2o3$
9b2o$8bobo2b2o$9bo3b2o3$21b3o$21bo$22bo50$19b2o4b2o$19bobo2bobo$20bo3b
2o3$25b2o$19b2o3bobo$19b2o3b2o3$21b3o$21bo$22bo50$20b2o$20bobo3b2o$21b
o4b2o3$20b2o3b2o$20b2o2bobo$24b2o3$21b3o$21bo$22bo50$4b2o$4bobo3b2o$5b
o3bobo$10bo3$4b2o$4b2o3$21b3o$21bo$22bo50$14b2o$14bobo3bo$15bo3bobo$
20b2o2$15bo$14bobo$15bo3$21b3o$21bo$22bo50$4b2o$4bobo3b2o$5bo3bobo$8bo
bo$9bo$5b2o$4bobo$4b2o3$21b3o$21bo$22bo50$8b2o$8bobo$9bo3bo$12bobo$12b
o2bo$13b2o$8b2o$8b2o3$21b3o$21bo$22bo50$14b2o$14bobo$15bo4b2o$20b2o2$
17b2o$16bo2bo$17b2o3$21b3o$21bo$22bo50$9b2o$9bobo$10bo4bo$14bobo$14bob
o$15bo$11b2o$11b2o3$21b3o$21bo$22bo50$8b2o$8bobo$9bo$13b2o$12bo2bo$12b
obo$8b2o3bo$8b2o3$21b3o$21bo$22bo50$4b2o3b2o$4bobo2b2o$5b2o2$9b2o$5bo
3bobo$4bobo3b2o$5b2o3$21b3o$21bo$22bo50$14b2o3b2o$14bobo2bobo$15b2o3bo
3$15bo4bo$14bobo2bobo$15b2o3bo3$21b3o$21bo$22bo50$13b2o4b2o$13bobo3b2o
$14b2o2$19bo$18bobo$18bobo$19bo3$21b3o$21bo$22bo50$18b2o4b2o$18bobo2bo
bo$19b2o3bo3$20bo3b2o$19bobo2b2o$20b2o3$21b3o$21bo$22bo50$19b2o4bo$19b
obo2bobo$20b2o3b2o3$19b2o2b2o$19b2o2bobo$24b2o3$21b3o$21bo$22bo50$9b2o
4bo$9bobo2bobo$10b2o3b2o3$9b2o4bo$9bobo2bobo$10bo4bo3$21b3o$21bo$22bo
50$b2o4bo$bobo2bobo$2b2o3b2o3$2b2o$bobo3b2o$2bo4b2o3$21b3o$21bo$22bo
50$3b2o4bo$3bobo2bobo$4b2o3b2o3$5b2o$5b2o2b2o$9b2o3$21b3o$21bo$22bo50$
22b2o4bo$22bobo2bobo$23b2o2b2o3$23bo$22bobo3b2o$23b2o3b2o3$21b3o$21bo$
22bo50$17b2o4bo$17bobo2bobo$18b2o2b2o3$21b2o$21bobo$22bo3$21b3o$21bo$
22bo50$13b2o4bo$13bobo2bobo$14b2o3bo3$15bo3b2o$14bobo2b2o$14b2o3$21b3o
$21bo$22bo50$10b2o4b2o$10bobo2bobo$11b2o2b2o3$13b2o$12bobo$13bo3$21b3o
$21bo$22bo50$10b2o$10bobo3b2o$11b2o2bobo$16bo2$11bo$10bobo2b2o$11bo3b
2o3$21b3o$21bo$22bo50$5b2o$5bobo3bo$6b2o2bobo$11b2o2$6bo$5bobo2b2o$5b
2o3b2o3$21b3o$21bo$22bo50$20b2o$20bobo$21b2o2b2o$25b2o2$21bo$20bobo3b
2o$21b2o3b2o3$21b3o$21bo$22bo50$13b2o$13bobo$14b2o3bo$18bobo$18b2o$14b
2o$13bobo$13b2o3$21b3o$21bo$22bo50$6b2o$6bobo$7b2o2$11b2o$7b2o2bobo$6b
obo3bo$7bo3$21b3o$21bo$22bo50$10b2o$10bobo$11b2o3$15b2o$10b2o2bo2bo$
10b2o3b2o3$21b3o$21bo$22bo50$22b2o4b2o$22bobo2bobo$24bo3bo$24b2o2$28b
2o$22b2o3bobo$22b2o4bo3$21b3o$21bo$22bo50$b2o4b2o$bo5b2o$2b3o$4bo2$2bo
4bo$bobo2bobo$b2o3b2o3$21b3o$21bo$22bo50$12b2o4b2o$12bobo3b2o$13bobo$
14bo$18b2o$17bobo$16bobo$17bo3$21b3o$21bo$22bo50$6b2o4b2o$6bobo3b2o$7b
obo$8bo2$12b2o$7b2o2bobo$7b2o3bo3$21b3o$21bo$22bo50$17b2o$17bobo3b2o$
18bobo2b2o$19bo2$23bo$17b2o3bobo$17b2o3b2o3$21b3o$21bo$22bo50$11b2o$
11bobo$12bobo$13bo$17bo$16bobo$11b2o2bobo$11b2o2b2o3$21b3o$21bo$22bo
50$21b2o2b2o$21b2o2b2o3$20bo$20b3o3b2o$23bo2b2o$22b2o3$21b3o$21bo$22bo
50$18b2o2b2o$18b2o2b2o3$18b2o$17bobo3b2o$18bo3bobo$23bo3$21b3o$21bo$
22bo50$4b2o2b2o$4b2o2bobo$9b2o2$3b2o$3bobo$4b2o3b2o$9b2o3$21b3o$21bo$
22bo50$8b2o3b2o$8b2o3b2o4$8b2o$7bo2bo2b2o$8b2o3b2o3$21b3o$21bo$22bo50$
9b2o3bo$9b2o2bobo$14b2o2$9b2o$8bobo3b2o$9bo3bobo$14bo3$21b3o$21bo$22bo
50$2b2o3bo$2b2o2bobo$7b2o2$2b2o$bo2bo2b2o$bobo3b2o$2bo3$21b3o$21bo$22b
o50$6b2o3bo$6b2o2bobo$11b2o3$6b2o2b2o$5bobo2bobo$5b2o4bo3$21b3o$21bo$
22bo50$12b2o3bo$12b2o2bobo$17bo2$11b2o$11b2o3bo$15bobo$15b2o3$21b3o$
21bo$22bo50$14b2o3b2o$14b2o2bobo$18b2o2$14bo$13bobo3bo$13bobo2bobo$14b
o4bo3$21b3o$21bo$22bo50$16b2o3b2o$16b2o2bobo$20b2o3$16b2o3b2o$15bobo2b
obo$15b2o3b2o3$21b3o$21bo$22bo50$15b2o3b2o$15b2o2bobo$19bo$18b2o2$15b
2o$14bobo$15bo3$21b3o$21bo$22bo50$16b2o$16b2o2b2o$20bobo$21bo2$16b2o$
15bobo$16bo3$21b3o$21bo$22bo50$10b2o$10b2o3b2o$15b2o2$10bo$9bobo3b2o$
9b2o3bobo$15bo3$21b3o$21bo$22bo50$9b2o$9b2o3b2o$14b2o2$9bo$8bobo3bo$8b
2o3bobo$14bo3$21b3o$21bo$22bo50$19b2o$19b2o3b2o$24b2o2$19b2o$18bo2bo$
19b2o3b2o$24b2o3$21b3o$21bo$22bo50$23b2o$23b2o3b2o$27bobo$28bo$23b2o$
22bo2bo$22bo2bo2b2o$23b2o3b2o3$21b3o$21bo$22bo50$20b2o$20b2o3bo$24bobo
$24b2o$19b2o$20bo$20bobo2b2o$21b2o2b2o3$21b3o$21bo$22bo50$7b2o$7b2o3bo
$11bobo$11b2o$6bo$6b3o$9bo$8b2o3$21b3o$21bo$22bo50$7b2o$7b2o3bo$11bobo
$11b2o2$7b2o$6bo2bo$7b2o3$21b3o$21bo$22bo50$12b2o$12b2o$17b2o$17b2o$
11bo$11b3o$14bo$13b2o3$21b3o$21bo$22bo50$19b2o$19b2o$24b2o$24b2o3$18b
2o2b2o$18b2o2b2o3$21b3o$21bo$22bo50$11b2o$11b2o$16b2o$15bobo$16bo$11b
2o$10bo2bo$11b2o3$21b3o$21bo$22bo50$7b2o$7b2o3$7bo$6bobo3bo$7bo3bobo$
11b2o3$21b3o$21bo$22bo50$11b2o3b2o$11bobo2b2o$12bo3$10b2o3bo$10b2o2bob
o$15bo3$21b3o$21bo$22bo50$2b2o3b2o$2bobo2b2o$3bo3$b2o$bobo$2bo3$21b3o$
21bo$22bo50$2b2o3b2o$2bobo2b2o$3bo3$2bo$bobo$2b2o3$21b3o$21bo$22bo50$
2b2o3b2o$2bobo2b2o$3bo3$2bo$bobo$2bo3$21b3o$21bo$22bo50$22b2o$22bobo2b
2o$23bo3b2o3$22bo$21bobo2b2o$22bo3b2o3$21b3o$21bo$22bo50$3b2o$3bobo2b
2o$4bo3b2o3$8b2o$2b2o3bobo$2b2o4bo3$21b3o$21bo$22bo50$16b2o$16bobo$17b
o$21bo$20bobo$16b2o3b2o$15bobo$15b2o3$21b3o$21bo$22bo50$13b2o$13bobo$
14bo2$16b2o$16bobo$12b2o4bo$12b2o4b2o3$21b3o$21bo$22bo50$15b2o$15bobo$
16bo2$19b2o$14b2o3bobo$14bobo3bo$15b2o3$21b3o$21bo$22bo50$22b2o$22bobo
$23bo3$22b2o3bo$21bobo2bobo$22bo4bo3$21b3o$21bo$22bo50$6b2o2b2o$5bobo
2b2o$6bo2$10b2o$9bo2bo$5b2o3b2o$5b2o3$21b3o$21bo$22bo50$15b2o2b2o$14bo
bo2b2o$15bo2$19b2o$18bo2bo$14b2o2bo2bo$14b2o3b2o3$21b3o$21bo$22bo50$3b
2o2b2o$2bobo2bobo$3bo4bo3$3bo4b2o$2bobo2bobo$3b2o2b2o3$21b3o$21bo$22bo
50$6b2o2b2o$5bobo2bobo$6bo4bo3$11bo$6b2o2bobo$6b2o3b2o3$21b3o$21bo$22b
o50$15b2o2b2o$14bobo2bobo$15bo4bo4$14b2o$14b2o3$21b3o$21bo$22bo50$9b2o
2b2o$8bobo2bobo$9bo4b2o3$9bo4bo$8bobo2bobo$9b2o2b2o3$21b3o$21bo$22bo
50$10b2o2b2o$9bobo2bobo$10bo4b2o3$10bo4b2o$9bobo2bobo$10b2o2b2o3$21b3o
$21bo$22bo50$15b2o2b2o$14bobo2bobo$15bo4b2o3$16b2o2b2o$15bobo2b2o$16bo
3$21b3o$21bo$22bo50$24b2o3b2o$23bobo3b2o$24bo3$24b2o2b2o$23bobo2bobo$
23b2o4bo3$21b3o$21bo$22bo50$6b2o3b2o$5bobo2bobo$6bo4bo3$10b2o$10bobo$
11bo3$21b3o$21bo$22bo50$23b2o3bo$22bobo2bobo$23bo4b2o2$25bo$24bobo$23b
obo$23b2o3$21b3o$21bo$22bo50$16b2o3bo$15bobo2bobo$16bo3b2o3$16b2o3b2o$
15bobo3b2o$15b2o3$21b3o$21bo$22bo50$9b2o3bo$8bobo2bobo$9bo3b2o3$12bo$
11bobo$12b2o3$21b3o$21bo$22bo50$9b2o3bo$8bobo2bobo$9bo4bo3$8b2o3b2o$8b
2o2bobo$12b2o3$21b3o$21bo$22bo50$10b2o3b2o$9bobo2bobo$10bo3b2o3$10b2o
2b2o$10b2o2bobo$15bo3$21b3o$21bo$22bo50$4b2o$3bobo2b2o$4bo3b2o3$9b2o$
3b2o3bobo$3b2o4bo3$21b3o$21bo$22bo50$12b2o$11bobo3b2o$12bo4b2o2$14b2o$
14bo$12bobo$12b2o3$21b3o$21bo$22bo50$7b2o$6bobo3bo$7bo3bobo$11b2o2$7b
2o$7bobo$8bo3$21b3o$21bo$22bo50$7b2o$6bobo3bo$7bo3bobo$11b2o2$7b2o$6bo
2bo$7b2o3$21b3o$21bo$22bo50$7b2o$6bobo3bo$7bo3bobo$11b2o2$7b2o$7bobo$
8b2o3$21b3o$21bo$22bo50$7b2o$6bobo3bo$7bo3bobo$11b2o2$8bo$7bobo$8b2o3$
21b3o$21bo$22bo50$7b2o$6bobo3bo$7bo3bobo$11b2o2$8bo$7bobo$8bo3$21b3o$
21bo$22bo50$19b2o$18bobo3bo$19bo3bobo$23bobo$24bo$19b2o$18bobo$19bo3$
21b3o$21bo$22bo50$20b2o$19bobo3b2o$20bo5bo$23b3o$23bo$19b2o$19bobo$20b
o3$21b3o$21bo$22bo50$19b2o$18bobo$19bo3b2o$23bobo$24b2o$19b2o$18bobo$
19bo3$21b3o$21bo$22bo50$13b2o$12bobo$13bo$18b2o$18b2o$13bo$12bobo$13b
2o3$21b3o$21bo$22bo50$16bo3b2o$15bobo2b2o$16b2o2$21bo$16b2o2bobo$15bob
o2b2o$16bo3$21b3o$21bo$22bo50$3bo3b2o$2bobo2b2o$3b2o2$8b2o$8bo$6bobo$
6b2o3$21b3o$21bo$22bo50$11bo4b2o$10bobo3b2o$11b2o2$15b2o$14bo2bo$15bob
o$16bo3$21b3o$21bo$22bo50$17bo4b2o$16bobo3b2o$17b2o3$19b2o$18bobo$19bo
3$21b3o$21bo$22bo50$10bo4b2o$9bobo2bobo$10b2o3bo3$10b2o2b2o$9bobo2bobo
$10bo4bo3$21b3o$21bo$22bo50$5bo4bo$4bobo2bobo$5b2o3b2o3$5bo4b2o$4bobo
2bobo$5b2o3bo3$21b3o$21bo$22bo50$20bo4bo$19bobo2bobo$20b2o3b2o3$20bo4b
o$19bobo2bobo$20b2o2b2o3$21b3o$21bo$22bo50$9bo4bo$8bobo2bobo$9b2o2b2o
3$8b2o3b2o$8b2o2bobo$13bo3$21b3o$21bo$22bo50$15bo4bo$14bobo2bobo$15b2o
2b2o3$15bo3b2o$14bobo2bobo$14b2o4bo3$21b3o$21bo$22bo50$20bo4b2o$19bobo
2bobo$20b2o2b2o3$21b2o$20bobo$21bo3$21b3o$21bo$22bo50$19bo4b2o$18bobo
2bobo$19b2o2b2o3$20b2o$19bobo$19b2o3$21b3o$21bo$22bo50$3bo$2bobo3b2o$
3b2o2bobo$8bo2$6bo$5bobo$6bo3$21b3o$21bo$22bo50$5bo$4bobo3bo$5b2o2bobo
$9b2o2$5b2o$4bobo$4b2o3$21b3o$21bo$22bo50$6bo$5bobo3b2o$6b2o2bobo$10b
2o2$6b2o$5bobo$5b2o3$21b3o$21bo$22bo50$8bo$7bobo$8b2o3bo$12bobo$12b2o
2$7b2o$7b2o3$21b3o$21bo$22bo50$22bo$21bobo$22b2o$27bo$26bobo$23bo3bo$
22bobo$22b2o3$21b3o$21bo$22bo50$14bo$13bobo$14b2o2$18bo$17bobo$13b2o2b
o2bo$13b2o3b2o3$21b3o$21bo$22bo50$22bo$21bobo$22b2o2$27b2o$21b2o5bo$
21b2o2b3o$25bo3$21b3o$21bo$22bo50$16bo3b2o$15bobo2b2o$15b2o2$21b2o$16b
o3bobo$15bobo2b2o$16bo3$21b3o$21bo$22bo50$5bo3b2o$4bobo2bobo$4b2o4bo2$
7b2o$7bo$5bobo$5b2o3$21b3o$21bo$22bo50$19bo4b2o$18bobo3b2o$18b2o2$23bo
$18b2o2bobo$18b2o2bobo$23bo3$21b3o$21bo$22bo50$10bo4b2o$9bobo3b2o$9b2o
2$14b2o$9b2o2bo2bo$9b2o2bo2bo$14b2o3$21b3o$21bo$22bo50$10bo4b2o$9bobo
3b2o$9b2o3$9b2o$9bobo$10bo3$21b3o$21bo$22bo50$21bo4b2o$20bobo3b2o$20b
2o3$21b2o3bo$21b2o2bobo$25b2o3$21b3o$21bo$22bo50$22bo4bo$21bobo2bobo$
21b2o4b2o3$21b2o4b2o$21bobo2bobo$22bo3b2o3$21b3o$21bo$22bo50$16bo4bo$
15bobo2bobo$15b2o4b2o3$15b2o4b2o$15bobo2bobo$16b2o3bo3$21b3o$21bo$22bo
50$15bo4bo$14bobo2bobo$14b2o4b2o3$14b2o4b2o$14bobo2bobo$15b2o2b2o3$21b
3o$21bo$22bo50$12bo4bo$11bobo2bobo$11b2o4b2o4$14b2o$14b2o3$21b3o$21bo$
22bo50$6bo4bo$5bobo2bobo$5b2o3b2o3$7b2o$6bo2bo$7b2o3$21b3o$21bo$22bo
50$6bo4bo$5bobo2bobo$5b2o3b2o3$7b2o$7bobo$8b2o3$21b3o$21bo$22bo50$18bo
4bo$17bobo2bobo$17b2o3bobo$23bo2$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$
9bo4b2o$8bobo2bobo$8b2o3b2o3$9b2o$8bobo2b2o$9bo3b2o3$21b3o$21bo$22bo
50$bo4b2o$obo2bobo$2o3b2o3$5b2o$2o3bobo$2o4bo3$21b3o$21bo$22bo50$15bo$
14bobo2b2o$14b2o3b2o3$15b2o2b2o$14bobo2bobo$14b2o4bo3$21b3o$21bo$22bo
50$18bo$17bobo2b2o$17b2o3bobo$23bo2$19b2o$18bobo$19bo3$21b3o$21bo$22bo
50$18bo$17bobo2b2o$17b2o3bobo$23b2o2$19b2o$18bobo$19bo3$21b3o$21bo$22b
o50$19bo$18bobo3b2o$18b2o4b2o3$18b2o4bo$18bobo2bobo$19bo4b2o3$21b3o$
21bo$22bo50$18bo$17bobo3bo$17b2o3bobo$23b2o2$19b2o$18bobo$19bo3$21b3o$
21bo$22bo50$10bo$9bobo3bo$9b2o3bobo$14b2o2$9b2o$9bobo2b2o$10b2o2b2o3$
21b3o$21bo$22bo50$18bo$17bobo3bo$17b2o3bobo$23bo2$19b2o$18bobo$19bo3$
21b3o$21bo$22bo50$13bo$12bobo3b2o$12b2o5bo$16b3o$16bo2$13b2o$13b2o3$
21b3o$21bo$22bo50$2bo$bobo3b2o$b2o3bobo$5bobo$6bo$2bo$bobo$2b2o3$21b3o
$21bo$22bo50$16bo$15bobo$15b2o$21bo$20bobo$16b2o3b2o$15bobo$16bo3$21b
3o$21bo$22bo50$19bo$18bobo$18b2o3$19bo3b2o$18bobo2bobo$18b2o4bo3$21b3o
$21bo$22bo50$15b2o3b2o$14bo2bo2b2o$15b2o2$20bo$15bo3bobo$14bobo2bobo$
14b2o4bo3$21b3o$21bo$22bo50$11b2o$10bo2bo2b2o$11b2o3b2o2$14bo$13bobo$
13bo2bo$14b2o3$21b3o$21bo$22bo50$7b2o$6bo2bo2b2o$7b2o3b2o3$7b2o2b2o$7b
2o2bobo$12bo3$21b3o$21bo$22bo50$17b2o$16bo2bo2b2o$17b2o3b2o3$19b2o$18b
obo$19bo3$21b3o$21bo$22bo50$10b2o$9bo2bo2b2o$10b2o3b2o3$15bo$14bobo$
14b2o3$21b3o$21bo$22bo50$3b2o$2bo2bo2b2o$3b2o3b2o4$3b2o3b2o$3b2o3b2o3$
21b3o$21bo$22bo50$22b2o$21bo2bo$22b2o3b2o$26bobo$25bobo$22bo3bo$21bobo
$22bo3$21b3o$21bo$22bo50$10b2o$9bo2bo$10b2o2$15bo$10bo3bobo$9bobo2b2o$
10b2o3$21b3o$21bo$22bo50$14b2o$13bo2bo$14b2o3$13b2o4b2o$13bobo2bobo$
14b2o2b2o3$21b3o$21bo$22bo50$11bo3b2o$10bobo2bobo$10bobo3b2o$11bo2$16b
2o$15bobo$15b2o3$21b3o$21bo$22bo50$10bo4b2o$9bobo2bobo$9bobo3bo$10bo2$
14b2o$9b2o2bo2bo$9b2o3b2o3$21b3o$21bo$22bo50$15bo4bo$14bobo2bobo$14bob
o3b2o$15bo2$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$3bo4bo$2bobo2bobo$2bo
bo3bo$3bo$6bo$5bobo$4bobo$4b2o3$21b3o$21bo$22bo50$18bo$17bobo2b2o$17bo
bo2b2o$18bo2$22b2o$18b2o2bobo$18b2o3bo3$21b3o$21bo$22bo50$22bo$21bobo
3b2o$21bobo3b2o$22bo3$22b2o3b2o$22b2o3b2o3$21b3o$21bo$22bo50$8bo$7bobo
$7bobo3bo$8bo3bobo$12b2o2$8b2o$8b2o3$21b3o$21bo$22bo50$14bo$13bobo$13b
obo$14bo3b2o$17bo2bo$18bobo$14b2o3bo$14b2o3$21b3o$21bo$22bo50$15bo$14b
obo$14bobo$15bo2$20b2o$15b2o2bobo$15b2o3bo3$21b3o$21bo$22bo50$5bo3b2o$
4bobo2b2o$5bo4$4b2o4b2o$4b2o4b2o3$21b3o$21bo$22bo50$19bo3b2o$18bobo2bo
bo$19bo4bo3$20bo3b2o$19bobo2b2o$20bo3$21b3o$21bo$22bo50$4bo3b2o$3bobo
2bobo$4bo4b2o3$7bo$6bobo$6b2o3$21b3o$21bo$22bo50$20bo4b2o$19bobo3b2o$
20bo3$19b2o$19b2o4b2o$25b2o3$21b3o$21bo$22bo50$19bo4b2o$18bobo2bobo$
19bo4bo3$19b2o2b2o$18bobo2b2o$19bo3$21b3o$21bo$22bo50$8bo4bo$7bobo2bob
o$8bo4b2o3$9bo3b2o$8bobo2b2o$9bo3$21b3o$21bo$22bo50$6bo4bo$5bobo2bobo$
6bo3b2o3$6bo3b2o$5bobo2b2o$5b2o3$21b3o$21bo$22bo50$16bo4bo$15bobo2bobo
$16bo3b2o3$16b2o3b2o$15bobo3b2o$15b2o3$21b3o$21bo$22bo50$13bo4bo$12bob
o2bobo$13bo3bobo$18bo$15bo$14bobo$13bo2bo$14b2o3$21b3o$21bo$22bo50$10b
o4bo$9bobo2bobo$10bo4bo2$12b2o$11bo2bo$11bobo$12bo3$21b3o$21bo$22bo50$
9bo4b2o$8bobo2bobo$9bo3b2o3$9b2o$8bobo2b2o$9bo3b2o3$21b3o$21bo$22bo50$
bo4b2o$obo2bobo$bo3b2o3$2b2o2b2o$bobo2b2o$b2o3$21b3o$21bo$22bo50$6bo$
5bobo3b2o$6bo4b2o3$11b2o$10bobo$10b2o3$21b3o$21bo$22bo50$6bo$5bobo3bo$
6bo3bobo$11bo2$5b2o$5bobo2b2o$6bo3b2o3$21b3o$21bo$22bo50$17bo$16bobo3b
o$17bo3bobo$22bo2$17bo$16bobo2b2o$17b2o2b2o3$21b3o$21bo$22bo50$24bo$
23bobo3b2o$24bo3bobo$28b2o2$24b2o$23bobo2b2o$23b2o3b2o3$21b3o$21bo$22b
o50$12bo$11bobo3bo$12bo3bobo$15bo2bo$16b2o$12b2o$11bo2bo$12b2o3$21b3o$
21bo$22bo50$5bo$4bobo$5bo3b2o$9bobo$10bo$6b2o$6bobo$7b2o3$21b3o$21bo$
22bo50$20bo$19bobo$20bo3b2o$24bobo$25b2o$21b2o$21bobo$22bo3$21b3o$21bo
$22bo50$15bo$14bobo$15bo3b2o$18bo2bo$18bobo$15bo3bo$14bobo$15bo3$21b3o
$21bo$22bo50$15bo$14bobo$15bo4b2o$20b2o2$17b2o$16bo2bo$17b2o3$21b3o$
21bo$22bo50$10bo$9bobo$10bo4bo$14bobo$14bobo$15bo$11b2o$11b2o3$21b3o$
21bo$22bo50$21bo$20bobo$21bo$26b2o$25bobo$20b2o4bo$20bobo$21b2o3$21b3o
$21bo$22bo50$17bo$16bobo$17bo2$20b2o$20bobo$21bobo$22bo3$21b3o$21bo$
22bo50$8bo$7bobo$8bo2$11b2o$11bobo$12bobo$13bo3$21b3o$21bo$22bo50$19bo
$18bobo$19bo3$24b2o$19b2o2bobo$19b2o2b2o3$21b3o$21bo$22bo50$4b2o3b2o$
3bo2bo2b2o$3bo2bo$4b2o$9b2o$9b2o$4b2o$4b2o3$21b3o$21bo$22bo50$21b2o$
20bo2bo2b2o$20bo2bo2b2o$21b2o3$20b2o2b2o$20b2o2b2o3$21b3o$21bo$22bo50$
18b2o3b2o$18bobo2b2o$19b2o2$22b2o$17b2o3bobo$17bobo3bo$18bo3$21b3o$21b
o$22bo50$17b2o$17bobo2b2o$18b2o2b2o3$22b2o$16b2o3bobo$16b2o3b2o3$21b3o
$21bo$22bo50$18b2o$18bobo$19b2o3$17b2o4b2o$17bobo3b2o$18bo3$21b3o$21bo
$22bo50$18b2o2b2o$17bobo2b2o$17b2o2$22bo$21bobo$17b2o2bo2bo$17b2o3b2o
3$21b3o$21bo$22bo50$17b2o2b2o$16bobo2b2o$16b2o3$17bo4b2o$16bobo2bobo$
17b2o2b2o3$21b3o$21bo$22bo50$18b2o2b2o$17bobo2bobo$17b2o4bo3$19b2o$18b
obo$19bo3$21b3o$21bo$22bo50$3b2o2b2o$2bobo2bobo$2b2o4b2o3$6b2o$2b2o2bo
bo$2b2o3b2o3$21b3o$21bo$22bo50$5b2o2b2o$4bobo2bobo$4b2o4b2o3$8b2o$7bob
o$7b2o3$21b3o$21bo$22bo50$22b2o3b2o$21bobo3b2o$21b2o2$26b2o$21b2o3bobo
$21bobo3b2o$22b2o3$21b3o$21bo$22bo50$7b2o3b2o$6bobo3b2o$6b2o2$11b2o$6b
2o2bo2bo$6b2o3bobo$12bo3$21b3o$21bo$22bo50$8b2o3b2o$7bobo2bobo$7b2o4bo
3$8bo3b2o$7bobo2bobo$8b2o3b2o3$21b3o$21bo$22bo50$18b2o3b2o$17bobo2bobo
$17b2o4bo3$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$6b2o3b2o$5bobo2bobo$5b
2o4bo3$10b2o$10bobo$11bo3$21b3o$21bo$22bo50$8b2o3bo$7bobo2bobo$7b2o4b
2o3$7b2o4b2o$7b2o3bobo$12b2o3$21b3o$21bo$22bo50$17b2o3bo$16bobo2bobo$
16b2o4b2o3$17bo3b2o$16bobo2bobo$16b2o4b2o3$21b3o$21bo$22bo50$18b2o3bo$
17bobo2bobo$17b2o3b2o3$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$5b2o3bo$4b
obo2bobo$4b2o3b2o3$8b2o$7bobo$7b2o3$21b3o$21bo$22bo50$18b2o3bo$17bobo
2bobo$17b2o3bobo$23bo2$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$13b2o3bo$
12bobo2bobo$12b2o3bobo$18bo2$14b2o$13bo2bo$14b2o3$21b3o$21bo$22bo50$7b
2o3bo$6bobo2bobo$6b2o3bobo$12bo2$8bo$7bobo2b2o$8bo3b2o3$21b3o$21bo$22b
o50$5b2o3bo$4bobo2bobo$4b2o3bobo$10bo2$8bo$7bobo$8b2o3$21b3o$21bo$22bo
50$5b2o3bo$4bobo2bobo$4b2o3bobo$10bo2$8bo$7bobo$8bo3$21b3o$21bo$22bo
50$18b2o3bo$17bobo2bobo$17b2o4bo3$19b2o$18bobo$19bo3$21b3o$21bo$22bo
50$18b2o$17bobo2b2o$17b2o3bobo$23bo2$19b2o$18bobo$19bo3$21b3o$21bo$22b
o50$14b2o$13bobo2b2o$13b2o3bobo$19b2o3$14b2o$14b2o3$21b3o$21bo$22bo50$
11b2o$10bobo3b2o$10b2o4b2o3$11b2o$11bobo$12b2o3$21b3o$21bo$22bo50$17b
2o$16bobo3b2o$16b2o3bobo$22bo2$19bo$18bobo$18b2o3$21b3o$21bo$22bo50$
18b2o$17bobo3bo$17b2o3bobo$23b2o2$19b2o$18bobo$19bo3$21b3o$21bo$22bo
50$7b2o$6bobo3bo$6b2o3bobo$11b2o2$6b2o$6bobo$7bo3$21b3o$21bo$22bo50$7b
2o$6bobo3bo$6b2o3bobo$11b2o2$7b2o$7bobo$8bo3$21b3o$21bo$22bo50$7b2o$6b
obo3bo$6b2o3bobo$11b2o2$7b2o$6bobo$7bo3$21b3o$21bo$22bo50$7b2o$6bobo3b
o$6b2o3bobo$11b2o2$7bo$6bobo$6b2o3$21b3o$21bo$22bo50$7b2o$6bobo3bo$6b
2o3bobo$11b2o2$7b2o$6bo2bo$7b2o3$21b3o$21bo$22bo50$7b2o$6bobo3bo$6b2o
3bobo$11b2o2$7bo$6bobo$7bo3$21b3o$21bo$22bo50$7b2o$6bobo3bo$6b2o3bobo$
11b2o2$8bo$7bobo$8b2o3$21b3o$21bo$22bo50$7b2o$6bobo3bo$6b2o3bobo$11b2o
2$8bo$7bobo$8bo3$21b3o$21bo$22bo50$12b2o$11bobo3bo$11b2o3bobo$16bobo$
17bo$12b2o$11bo2bo$12b2o3$21b3o$21bo$22bo50$18b2o$17bobo3bo$17b2o3bobo
$23bo2$18b2o$17bo2bo2b2o$18b2o3b2o3$21b3o$21bo$22bo50$18b2o$17bobo3bo$
17b2o3bobo$23bo2$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$7b2o$6bobo3bo$6b
2o3bobo$12bo3$10b2o$10b2o3$21b3o$21bo$22bo50$8b2o$7bobo$7b2o4b2o$12bob
o$13bo$9bo$8bobo$8b2o3$21b3o$21bo$22bo50$20b2o$19bobo$19b2o$25bo$24bob
o$20b2o3b2o$19bo2bo$20b2o3$21b3o$21bo$22bo50$20b2o$19bobo$19b2o$25bo$
24bobo$20b2o3bo$19bo2bo$20b2o3$21b3o$21bo$22bo50$20b2o$19bobo$19b2o$
25b2o$24bobo$19b2o3b2o$19bobo$20b2o3$21b3o$21bo$22bo50$20b2o$19bobo$
19b2o$25b2o$24bobo$20b2o2b2o$19bobo$20bo3$21b3o$21bo$22bo50$18b2o$17bo
bo$17b2o2$23b2o$19bo3b2o$18bobo$19bo3$21b3o$21bo$22bo50$19b2o$18bobo$
18b2o3$19bo3b2o$18bobo2bobo$18b2o4bo3$21b3o$21bo$22bo50$10b2o$9bo2bo2b
2o$9bobo3b2o$10bo2$15bo$14bobo$14b2o3$21b3o$21bo$22bo50$15b2o$14bo2bo$
14bobo$15bo2$20b2o$15b2o2bobo$15b2o3bo3$21b3o$21bo$22bo50$15b2o$14bo2b
o2b2o$15bobo2b2o$16bo2$19b2o$19bobo$20bo3$21b3o$21bo$22bo50$10bo$9bobo
$9bo2bo$10b2o2$14b2o$10b2o2bobo$10b2o3bo3$21b3o$21bo$22bo50$10b2o$10bo
bo$11bobo$12bo2$10bo4bo$9bobo2bobo$10b2o3bo3$21b3o$21bo$22bo50$20b2o2b
2o$20b2o2b2o3$18b2o3bo$18b2o2bobo$22bobo$23bo3$21b3o$21bo$22bo50$13b2o
2b2o$13b2o2b2o3$11b2o$11b2o3bo$15bobo$15b2o3$21b3o$21bo$22bo50$5b2o2b
2o$5b2o2b2o3$3b2o$3bobo$4b2o2b2o$8b2o3$21b3o$21bo$22bo50$22b2o$22b2o2$
25bo$24bobo$24bo2bo$20b2o3b2o$20b2o3$21b3o$21bo$22bo50$15b2o$15b2o2$
19b2o$19b2o$14b2o$13bobo$13b2o3$21b3o$21bo$22bo50$15b2o$15b2o3$13b2o4b
2o$13bo5b2o$14b3o$16bo3$21b3o$21bo$22bo50$12b2o$12b2o3$11b2o$10bobo3bo
$11bo3bobo$15b2o3$21b3o$21bo$22bo50$20b2o$20b2o3$23b2o$22bo2bo$18b2o2b
obo$18b2o3bo3$21b3o$21bo$22bo50$6b2o$6b2o3$10b2o$5bo3bobo$4bobo3bo$4b
2o3$21b3o$21bo$22bo50$6b2o$6b2o3$10b2o$5bo3bobo$4bobo3bo$5bo3$21b3o$
21bo$22bo50$13b2o$12bobo2b2o$13bo3b2o3$11b2o$11bobo$12bo3$21b3o$21bo$
22bo50$4b2o$3bobo2b2o$4bo3b2o3$2b2o3b2o$2bobo2bobo$3b2o3bo3$21b3o$21bo
$22bo50$17b2o$16bobo$17bo$21bo$20bobo$16b2o3b2o$15bobo$16bo3$21b3o$21b
o$22bo50$14b2o$13bobo$14bo2$18b2o$13bo3bobo$12bobo2b2o$12b2o3$21b3o$
21bo$22bo50$12b2o$11bobo$12bo3$10b2o4bo$10bobo2bobo$11bo4bo3$21b3o$21b
o$22bo50$21bo$20bobo2b2o$21b2o2b2o3$20bo4b2o$19bobo2bobo$20b2o2b2o3$
21b3o$21bo$22bo50$24bo3b2o$23bobo2b2o$23b2o2$26b2o$26bobo$22b2o3bobo$
22b2o4bo3$21b3o$21bo$22bo50$21bo3b2o$20bobo2b2o$20b2o3$19b2o4bo$19b2o
3bobo$25b2o3$21b3o$21bo$22bo50$20bo$19bobo2b2o$19b2o3b2o3$19bo3b2o$18b
obo2bobo$18b2o4b2o3$21b3o$21bo$22bo50$23bo$22bobo$22b2o2$27b2o$21b2o5b
o$21b2o2b3o$25bo3$21b3o$21bo$22bo50$20bo$19bobo$19b2o3$19b2o3b2o$18bob
o3b2o$19bo3$21b3o$21bo$22bo50$12b2o$11bo2bo$12b2o3$11bo4b2o$10bobo2bob
o$11b2o3bo3$21b3o$21bo$22bo50$15bo3b2o$14bobo2b2o$15bo2$18b2o$14bo3b2o
$13bobo$13b2o3$21b3o$21bo$22bo50$6bo3b2o$5bobo2b2o$6bo3$5b2o3b2o$4bobo
2bobo$5bo3b2o3$21b3o$21bo$22bo50$9bo$8bobo2b2o$9bo3b2o3$7b2o2b2o$7b2o
2bobo$12b2o3$21b3o$21bo$22bo50$11bo$10bobo2b2o$11bo3b2o3$10bo3b2o$9bob
o2b2o$10b2o3$21b3o$21bo$22bo50$17bo$16bobo$17bo$21bo$20bobo$16b2o3b2o$
15bobo$16bo3$21b3o$21bo$22bo50$14bo$13bobo$14bo2$18b2o$13bo3bobo$12bob
o2b2o$12b2o3$21b3o$21bo$22bo50$9b2o$8bo2bo$8bo2bo$9b2o$13b2o$12bobo$7b
2o4bo$7b2o3$21b3o$21bo$22bo50$16b2o$16bobo$17b2o2$14b2o$15bo$15bobo2b
2o$16b2o2b2o3$21b3o$21bo$22bo50$7b2o$7bobo$8b2o2$6bo$5bobo3b2o$6b2o2bo
bo$11bo3$21b3o$21bo$22bo50$10b2o2b2o$9bobo2b2o$9b2o2$13b2o$9bo3b2o$8bo
bo$9b2o3$21b3o$21bo$22bo50$25b2o$24bobo2b2o$24b2o3b2o3$24bo4bo$23bobo
2bobo$23b2o4b2o3$21b3o$21bo$22bo50$24b2o$23bobo$23b2o3b2o$28b2o2$23bo$
22bobo2b2o$23b2o2b2o3$21b3o$21bo$22bo50$14b2o$13bobo$13b2o$18b2o$18b2o
$13bo$12bobo$13b2o3$21b3o$21bo$22bo50$5b2o$4bobo$4b2o$9b2o$8bobo$3b2o
4bo$3bobo$4b2o3$21b3o$21bo$22bo50$6b2o$5bobo$5b2o$10b2o$9bobo$5b2o3bo$
4bo2bo$5b2o3$21b3o$21bo$22bo50$23b2o$22bobo$22b2o3$22bo4bo$21bobo2bobo
$22b2o3bo3$21b3o$21bo$22bo50$7b2o$6bo2bo$6bobo$7bo$10bo$9bobo$5b2o3bob
o$5b2o4b2o3$21b3o$21bo$22bo50$22b2o$21bobo$21bo$20b2o3bo$24bobo$24bo2b
o$20b2o3b2o$20b2o3$21b3o$21bo$22bo50$11b2o$11bobo$12bobo$13bo$10bo$9bo
bo3b2o$9bobo2bobo$10bo4bo3$21b3o$21bo$22bo50$10b2o$10bobo$11bobo$12bo$
9bo$8bobo3bo$8bobo2bobo$9bo4bo3$21b3o$21bo$22bo50$22b2o2b2o$21bobo2b2o
$20bobo$21bo$24b2o$24bobo$20b2o3bobo$20b2o4bo3$21b3o$21bo$22bo50$8b2o
2b2o$7bobo2b2o$6bobo$7bo2$12b2o$7b2o2bobo$7b2o3bo3$21b3o$21bo$22bo50$
12b2o$11bobo$10bobo3b2o$11bo3bobo$15b2o2$10b2o$10b2o3$21b3o$21bo$22bo
50$5bo3b2o$4bobo2b2o$3bobo$3b2o$7b2o$7bobo$3b2o3bobo$3b2o4bo3$21b3o$
21bo$22bo50$15bo3b2o$14bobo2b2o$13bobo$13b2o2$16b2o$15bobo$15b2o3$21b
3o$21bo$22bo50$19bo$18bobo2b2o$17bobo3b2o$17b2o2$23bo$17b2o3bobo$17b2o
3b2o3$21b3o$21bo$22bo50$13b2o$13b2o3$11b2o$10bobo3bo$11bo3bobo$15b2o3$
21b3o$21bo$22bo50$6b2o$6b2o3$4b2o3b2o$3bo2bo2b2o$3bobo$4bo3$21b3o$21bo
$22bo50$8b2o$8b2o3$9b2o$5b2o3bo$5bobo2bobo$6bo4b2o3$21b3o$21bo$22bo50$
13b2o$13bobo$14bo$11bo$10bobo$10bobo3bo$11bo3bobo$15b2o3$21b3o$21bo$
22bo50$13b2o$13bobo$14bo2$10b2o$10b2o4b2o$15bobo$16bo3$21b3o$21bo$22bo
50$17b2o$17bobo$18bo2$14b2o4bo$14bobo2bobo$15b2o2bobo$20bo3$21b3o$21bo
$22bo50$13b2o$13bobo$14bo2$11b2o$10bobo3bo$11bo3bobo$15b2o3$21b3o$21bo
$22bo50$12b2o$12bobo$13bo2$15b2o$10b2o2bobo$9bobo2b2o$10bo3$21b3o$21bo
$22bo50$21b2o$21bobo$22bo3$19bo3b2o$18bobo2bobo$19b2o3b2o3$21b3o$21bo$
22bo50$22b2o$21bobo$22bo$25b2o$24bobo$20b2o2b2o$19bobo$20bo3$21b3o$21b
o$22bo50$15bo$14bobo$14b2o$18b2o$18b2o$13bo$12bobo$13b2o3$21b3o$21bo$
22bo50$23bo$22bobo$22b2o$26b2o$26b2o$21b2o$20bobo$20b2o3$21b3o$21bo$
22bo50$13b2o$12bo2bo$13b2o2$10b2o$10bobo3bo$11b2o2bobo$15b2o3$21b3o$
21bo$22bo50$10b2o$9bo2bo$10b2o3$12b2o$7b2o3bobo$7b2o4bo3$21b3o$21bo$
22bo50$21bo$20bobo$21bo$24bo$19bo3bobo$18bobo3bo$18bo2bo$19b2o3$21b3o$
21bo$22bo50$11b2o$10bo2bo$10bo2bo$11b2o2$9bo4b2o$8bobo2bobo$9bo3b2o3$
21b3o$21bo$22bo50$23b2o$23bobo$24b2o3$21b2o3bo$20bobo2bobo$20b2o4b2o3$
21b3o$21bo$22bo50$9b2o$8bobo$8b2o$12bo$11bobo$7bo3b2o$6bobo$7bo3$21b3o
$21bo$22bo50$10b2o$9bobo$9b2o$13b2o$12bobo$8bo3b2o$7bobo$8bo3$21b3o$
21bo$22bo50$7b2o$6bobo$6bo$5b2o3bo$9bobo$9b2o$4b2o$4b2o3$21b3o$21bo$
22bo50$11b2o$10bobo$10bo$9b2o$14b2o$13bobo$8b2o3bo$8b2o2b2o3$21b3o$21b
o$22bo50$8b2o$8bo$6bobo$6b2o$11b2o$11bo$5b2o2bobo$5b2o2b2o3$21b3o$21bo
$22bo50$16b2o$12b2o2b2o$12b2o2$18b2o$13bo3bobo$12bobo3bo$13bo3$21b3o$
21bo$22bo50$9b2o$9b2o$5b2o$5b2o$10b2o$9bo2bo$5b2o3b2o$5b2o3$21b3o$21bo
$22bo50$16b2o$16b2o$12b2o$12b2o$18b2o$17bobo$12b2o4bo$12b2o3$21b3o$21b
o$22bo50$17b2o$17b2o2$13b2o$13bobo$14bo4bo$18bobo$18b2o3$21b3o$21bo$
22bo50$14b2o$14b2o3$11bo$10bobo3bo$10b2o3bobo$15b2o3$21b3o$21bo$22bo
50$6b2o$6b2o3$4b2o2b2o$4bo3b2o$2bobo$2b2o3$21b3o$21bo$22bo50$9b2o$9bob
o$10bo2$5b2o$5bobo2b2o$6b2o2bobo$11b2o3$21b3o$21bo$22bo50$14b2o$14bobo
$15bo2$11b2o$10bobo3bo$10b2o3bobo$15b2o3$21b3o$21bo$22bo50$17b2o$17bob
o$18bo3$14bo4b2o$13bobo2bobo$14bo4bo3$21b3o$21bo$22bo50$14b2o$13bobo$
14bo2$11b2o$10bobo3bo$11bo3bobo$15b2o3$21b3o$21bo$22bo50$15b2o$14bobo$
15bo2$17bo$16bobo$11b2o2bobo$11b2o2b2o3$21b3o$21bo$22bo50$17bo$16bobo$
17b2o$14bo$13bobo$14b2o3b2o$18bobo$19bo3$21b3o$21bo$22bo50$14bo$13bobo
$14b2o$11bo$10bobo$11b2o3bo$15bobo$15b2o3$21b3o$21bo$22bo50$9bo$8bobo$
9b2o$6bo$5bobo$6bo4bo$10bobo$11b2o3$21b3o$21bo$22bo50$17bo$16bobo$17b
2o2$14bo$13bobo3b2o$13b2o3bobo$19bo3$21b3o$21bo$22bo50$17bo$16bobo$17b
2o2$14b2o$13bo2bo2b2o$14bobo2b2o$15bo3$21b3o$21bo$22bo50$17bo$16bobo$
17b2o3$13b2o4b2o$13bobo2bobo$14bo4bo3$21b3o$21bo$22bo50$17bo$16bobo$
17b2o3$13b2o3b2o$13bobo2bobo$14b2o3bo3$21b3o$21bo$22bo50$17b2o$16bo2bo
$17b2o$13b2o$13bobo$14bo4b2o$18bobo$19bo3$21b3o$21bo$22bo50$17b2o$16bo
2bo$17b2o$14bo$13bobo$14bo4b2o$18bobo$19bo3$21b3o$21bo$22bo50$22bo$21b
obo$22bo$19bo$18bobo$19b2o3bo$23bobo$24b2o3$21b3o$21bo$22bo50$14bo$13b
obo$14bo$11bo$10bobo$10bobo3bo$11bo3bobo$15b2o3$21b3o$21bo$22bo50$14bo
$13bobo$14bo2$11b2o$10bobo3bo$11bo3bobo$15b2o3$21b3o$21bo$22bo50$7bo$
6bobo$7bo2$9b2o$4bo3bobo$3bobo3bo$4b2o3$21b3o$21bo$22bo50$7bo$6bobo$7b
o2$9b2o$4bo3bobo$3bobo3bo$4bo3$21b3o$21bo$22bo50$21bo$20bobo$21bo2$23b
o$17b2o3bobo$17b2o3bobo$23bo3$21b3o$21bo$22bo50$21bo$20bobo$21bo3$17b
2o4bo$17bobo2bobo$18bo3b2o3$21b3o$21bo$22bo50$24b2o$20b2o2bobo$20b2o3b
2o3$20b2o$20bobo3b2o$21b2o3b2o3$21b3o$21bo$22bo50$24b2o$24bobo$20b2o3b
2o$20b2o2$26b2o$20b2o4b2o$20b2o3$21b3o$21bo$22bo50$17b2o$17bobo$14bo3b
2o$13bobo$13bobo$14bo4b2o$18bobo$19bo3$21b3o$21bo$22bo50$13b2o$13bobo$
14b2o$9b2o$9bobo$10bo3b2o$13bo2bo$14b2o3$21b3o$21bo$22bo50$22b2o$22bob
o$23b2o2$18b2o$18bobo2b2o$19bo3bobo$24b2o3$21b3o$21bo$22bo50$14b2o$14b
obo$15b2o2$11bo$10bobo3bo$11bo3bobo$15b2o3$21b3o$21bo$22bo50$6b2o$5bob
o$5b2o2$3bo4bo$2bobo2bobo$2bobo3b2o$3bo3$21b3o$21bo$22bo50$12b2o$11bob
o$11b2o2$14bo$9bo3bobo$8bobo2bobo$9b2o3bo3$21b3o$21bo$22bo50$21b2o$20b
obo$20b2o3$17b2o4b2o$17bobo3b2o$18bo3$21b3o$21bo$22bo50$22b2o$21bo2bo$
21bobo$22bo$19bo$18bobo3bo$18bobo2bobo$19bo4bo3$21b3o$21bo$22bo50$7b2o
$3b2o3bo$3b2o3bobo$9b2o2$3b2o$3b2o3b2o$8b2o3$21b3o$21bo$22bo50$21b2o$
17b2o3bo$17b2o3bobo$23b2o2$19b2o$18bobo$19bo3$21b3o$21bo$22bo50$16b2o$
12b2o3bo$12b2o3bobo$18b2o3$14b2o$14b2o3$21b3o$21bo$22bo50$10b2o$11bo$
11bobo$12b2o$7b2o$6bo2bo$6bo2bo$7b2o3$21b3o$21bo$22bo50$10b2o$11bo$11b
obo$12b2o$7b2o$6bo2bo$7bobo$8bo3$21b3o$21bo$22bo50$14b2o$14bobo$10b2o
4bo$10b2o4b2o3$14b2o$14b2o3$21b3o$21bo$22bo50$22b2o$21bobo$21bo$20b2o$
24b2o$23bobo$18b2o3bo$18b2o2b2o3$21b3o$21bo$22bo50$8bo$4b2o2b3o$4b2o5b
o$10b2o2$6b2o$5bobo2b2o$6bo3b2o3$21b3o$21bo$22bo50$13bo$13b3o$9b2o5bo$
9bobo3b2o$10b2o2$15b2o$15b2o3$21b3o$21bo$22bo50$23b2o$23bobo$24bobo$
25bo$20b2o$19bo2bo$19bo2bo2b2o$20b2o3b2o3$21b3o$21bo$22bo50$8b2o$3b2o
3b2o$3b2o2$9b2o$3b2o3bobo$3b2o3bo$7b2o3$21b3o$21bo$22bo50$18b2o$13b2o
3b2o$13bobo$14bo$19bo$18bobo$13b2o4bo$13b2o3$21b3o$21bo$22bo50$7b2o$3b
2o2b2o$2bobo$3bo$8b2o$8bo$6bobo$6b2o3$21b3o$21bo$22bo50$9b2o$5b2o2b2o$
4bobo$5bo2$10bo$4b2o3bobo$4b2o4b2o3$21b3o$21bo$22bo50$21b2o$17bo3b2o$
16bobo$17bo$21b2o$21bobo$17b2o3b2o$17b2o3$21b3o$21bo$22bo50$11b2o$11b
2o2$7bo$6bobo$7bo3b2o$10bo2bo$11b2o3$21b3o$21bo$22bo50$15b2o$15b2o2$
12b2o$12bo$10bobo3bo$10b2o3bobo$15b2o3$21b3o$21bo$22bo50$8b2o$8b2o3$4b
o4b2o$3bobo3b2o$3bo2bo$4b2o3$21b3o$21bo$22bo50$9b2o$9b2o3$6b2o$6bo3bo$
4bobo2bobo$4b2o4b2o3$21b3o$21bo$22bo50$27b2o$22b2o3bobo$22bobo3bo$23bo
3$22b2o$22b2o3$21b3o$21bo$22bo50$11b2o$6b2o3bobo$6bobo3bo$7b2o2$10b2o$
6b2o2bobo$6b2o3bo3$21b3o$21bo$22bo50$11b2o$6b2o3bobo$6bobo3bo$7b2o3$
11b2o$11b2o3$21b3o$21bo$22bo50$11b2o$7b2o2bobo$7b2o3bo3$6b2o4b2o$6bobo
2bobo$7b2o3bo3$21b3o$21bo$22bo50$18b2o$14bo3bobo$13bobo3bo$13b2o2$19bo
$18bobo$19bo3$21b3o$21bo$22bo50$17b2o$13bo3bobo$12bobo3bo$12b2o3$13b2o
$13b2o3$21b3o$21bo$22bo50$23b2o$23bobo$24bo$18b2o$18b2o2bo$22b3o$25bo$
24b2o3$21b3o$21bo$22bo50$15b2o$15bobo$16bo$11bo$10bobo$11b2o3bo$15bobo
$15b2o3$21b3o$21bo$22bo50$11b2o$11bobo$12bo$7bo$6bobo$7bo4b2o$11bobo$
12bo3$21b3o$21bo$22bo50$11b2o$11bobo$12bo$7b2o$6bobo$6b2o$11b2o$11b2o
3$21b3o$21bo$22bo50$19b2o$14b2o2bobo$14b2o3bo3$20bo$15b2o2bobo$15b2o2b
2o3$21b3o$21bo$22bo50$20b2o$15b2o2bobo$15b2o3bo3$21bo$16b2o2bobo$16b2o
3bo3$21b3o$21bo$22bo50$15b2o$14bobo$15bo$11bo$10bobo$11b2o3bo$15bobo$
15b2o3$21b3o$21bo$22bo50$18b2o$17bobo$18bo2$13b2o$13b2o4b2o$18bobo$19b
o3$21b3o$21bo$22bo50$25b2o$24bobo$25bo2$21b2o$20bobo3b2o$21bo3bobo$25b
2o3$21b3o$21bo$22bo50$20b2o$19bobo$20bo3$16bo3b2o$15bobo2bobo$16bo4bo
3$21b3o$21bo$22bo50$23bo$22bobo$18b2o3b2o$18bobo$19b2o$24bo$23bobo$23b
2o3$21b3o$21bo$22bo50$11bo$10bobo$11b2o$8bo$7bobo$6bobo3bo$6b2o3bobo$
11b2o3$21b3o$21bo$22bo50$23bo$22bobo$23b2o3$19bo4b2o$18bobo2bobo$19b2o
2b2o3$21b3o$21bo$22bo50$11bo$6b2o2bobo$6b2o2b2o3$6b2o4bo$6b2o3bobo$11b
2o3$21b3o$21bo$22bo50$20bo$15b2o2bobo$15b2o2b2o3$16bo4bo$15bobo2bobo$
16b2o2b2o3$21b3o$21bo$22bo50$18bo$17bobo$13b2o2b2o$13b2o2$19b2o$18bobo
$19bo3$21b3o$21bo$22bo50$18bo$17bobo$17b2o$13b2o$13b2o$19b2o$18bobo$
19bo3$21b3o$21bo$22bo50$18bo$17bobo$17b2o$13b2o$13bobo$14bo4b2o$18bobo
$19bo3$21b3o$21bo$22bo50$18bo$17bobo$17b2o$14bo$13bobo$13b2o4b2o$18bob
o$19bo3$21b3o$21bo$22bo50$18bo$17bobo$17b2o$14bo$13bobo$14bo4b2o$18bob
o$19bo3$21b3o$21bo$22bo50$18bo$17bobo$17b2o2$14b2o$13bobo3b2o$14bo3bob
o$19bo3$21b3o$21bo$22bo50$15bo$14bobo$14b2o2$11b2o$10bobo3bo$11bo3bobo
$15b2o3$21b3o$21bo$22bo50$8bo$7bobo$7b2o2$4bo$3bobo3b2o$3b2o3bobo$8b2o
3$21b3o$21bo$22bo50$23bo$22bobo$22b2o2$19bo$18bobo3bo$19bo3bobo$24bo3$
21b3o$21bo$22bo50$15b2o$10b2o2bo2bo$10b2o3b2o3$11b2o3bo$10bobo2bobo$
10b2o4bo3$21b3o$21bo$22bo50$19b2o$18bo2bo$14b2o3b2o$14bobo$15bobo$16bo
3bo$19bobo$19b2o3$21b3o$21bo$22bo50$20b2o$19bo2bo$15b2o3b2o$15bobo$16b
obo$17bo3bo$20bobo$21bo3$21b3o$21bo$22bo50$26b2o$25bo2bo$26b2o$22b2o$
21bobo$21b2o3bo$25bobo$26b2o3$21b3o$21bo$22bo50$10b2o$9bo2bo$10b2o$6b
2o$5bo2bo$5bobo3bo$6bo3bobo$11bo3$21b3o$21bo$22bo50$6b2o$5bo2bo$6b2o3$
b2o$bobo2b2o$2b2o2b2o3$21b3o$21bo$22bo50$21b2o$20bo2bo$21b2o3$17bo3b2o
$16bobo2bobo$16b2o4b2o3$21b3o$21bo$22bo50$10bo$5b2o2bobo$5b2o2bobo$10b
o3$6b2o3b2o$6b2o3b2o3$21b3o$21bo$22bo50$10bo$9bobo$9bobo$10bo2$6b2o$5b
o2bo2b2o$6b2o3b2o3$21b3o$21bo$22bo50$22bo$17b2o2bobo$17b2o3bo3$23b2o$
22bobo$23bo3$21b3o$21bo$22bo50$18bo$17bobo$18bo2$13b2o$13bobo3b2o$14b
2o2bobo$19bo3$21b3o$21bo$22bo50$10bo$9bobo$10bo2$6b2o$5bobo3bo$6bo3bob
o$11bo3$21b3o$21bo$22bo50$6b2o$b2o2bo2bo$b2o2bo2bo$6b2o2$3bo$2bobo2b2o
$2b2o3b2o3$21b3o$21bo$22bo50$22b2o$21bo2bo$21bo2bo$22b2o$17bo$17b3o$
20bo$19b2o3$21b3o$21bo$22bo50$9b2o$8bo2bo$8bo2bo$9b2o$4b2o$4bobo$5bobo
2b2o$6bo3b2o3$21b3o$21bo$22bo50$14b2o$9b2o3bobo$9bobo3b2o$10bo2$13b2o$
13bobo$14bo3$21b3o$21bo$22bo50$22b2o$18b2o2bobo$18b2o3b2o3$17b2o4bo$
17bobo2bobo$18bo3b2o3$21b3o$21bo$22bo50$22b2o$18b2o2bobo$18b2o3b2o3$
18bo4bo$17bobo2bobo$17b2o3b2o3$21b3o$21bo$22bo50$22b2o$18b2o2bobo$18b
2o3b2o3$23bo$17b2o3bobo$17b2o3b2o3$21b3o$21bo$22bo50$26b2o$22bo3bobo$
21bobo3b2o$21b2o2$26b2o$22b2o2bobo$22b2o3bo3$21b3o$21bo$22bo50$25b2o$
21b2o2bobo$20bobo3b2o$20b2o2$24bo$23bobo$23b2o3$21b3o$21bo$22bo50$15b
2o$15bobo$16b2o$11bo$10bobo$11b2o2b2o$15bobo$16bo3$21b3o$21bo$22bo50$
27b2o$27bobo$28b2o$24b2o$24bo$22bobo3bo$22b2o3bobo$27b2o3$21b3o$21bo$
22bo50$27b2o$27bobo$28b2o2$23bo$22bobo3b2o$22bobo3b2o$23bo3$21b3o$21bo
$22bo50$24b2o$24bobo$25b2o2$21b2o$21bo$19bobo2b2o$19b2o3b2o3$21b3o$21b
o$22bo50$9b2o$9bobo$10b2o2$6b2o$6bo$4bobo3b2o$4b2o4b2o3$21b3o$21bo$22b
o50$18b2o$17bobo$17b2o2$13b2o$13bobo3b2o$14bo3bobo$19bo3$21b3o$21bo$
22bo50$27b2o$22b2o2bo2bo$22b2o2bobo$27bo2$23bo$22bobo2b2o$23b2o2b2o3$
21b3o$21bo$22bo50$25b2o$24bo2bo$24bobo$20b2o3bo$20b2o2$24b2o$24b2o3$
21b3o$21bo$22bo50$10b2o$9bo2bo$6bo3bobo$5bobo3bo$6bo$9bo$8bobo$9bo3$
21b3o$21bo$22bo50$6b2o$5bo2bo$6bobo$3bo3bo$2bobo$bobo$b2o4b2o$7b2o3$
21b3o$21bo$22bo50$11b2o$10bo2bo$11bobo$12bo$8bo$7bobo$6bo2bo2b2o$7b2o
3b2o3$21b3o$21bo$22bo50$25b2o$24bo2bo$25bobo$26bo2$20b2o$20b2o2b2o$24b
2o3$21b3o$21bo$22bo50$9b2o$8bo2bo$9bobo$10bo2$5b2o$4bobo3b2o$5bo4b2o3$
21b3o$21bo$22bo50$15bo$14bobo$14bo2bo$11bo3b2o$10bobo$11b2o$15b2o$15b
2o3$21b3o$21bo$22bo50$22bo$21bobo$21bo2bo$22b2o$17bo$17b3o$20bo$19b2o
3$21b3o$21bo$22bo50$18b2o$19bo$16b3o$16bo2$13b2o4b2o$13b2o3bobo$19bo3$
21b3o$21bo$22bo50$6b2o$7bo$4b3o$4bo2$b2o4b2o$bobo2bobo$2b2o3bo3$21b3o$
21bo$22bo50$22b2o$21bobo$20bobo$21bo$18bo$17bobo3b2o$18b2o2bobo$23bo3$
21b3o$21bo$22bo50$27b2o$26bobo$25bobo$26bo$23bo$22bobo$22bo2bo2b2o$23b
2o3b2o3$21b3o$21bo$22bo50$11b2o$5b2o4b2o$5b2o2$11b2o$11b2o$7b2o$7b2o3$
21b3o$21bo$22bo50$17b2o$11b2o4b2o$11bobo$12bo$15b2o$15bo$16b3o$18bo3$
21b3o$21bo$22bo50$27b2o$21b2o4b2o$21bobo$22bo2$27bo$22b2o2bobo$22b2o2b
2o3$21b3o$21bo$22bo50$13b2o$7b2o4b2o$7bobo$8b2o2$13b2o$8b2o2bobo$8b2o
2b2o3$21b3o$21bo$22bo50$12b2o$7b2o3b2o$7b2o3$6b2o4b2o$6bobo2bobo$7b2o
3bo3$21b3o$21bo$22bo50$7b2o$2b2o3b2o$bobo$2bo$5b2o$5bobo$b2o3bobo$b2o
4bo3$21b3o$21bo$22bo50$22b2o$17b2o3b2o$16bo2bo$16bo2bo$17b2o$21bo$20bo
bo$20b2o3$21b3o$21bo$22bo50$24b2o$19b2o3b2o$18bo2bo$18bobo$19bo3bo$22b
obo$23bobo$24b2o3$21b3o$21bo$22bo50$28b2o$24b2o2b2o$24b2o3$23bo4b2o$
22bobo2bobo$23b2o3bo3$21b3o$21bo$22bo50$16b2o$12b2o2b2o$11bobo$11b2o$
16b2o$15bobo$10b2o3bo$10b2o2b2o3$21b3o$21bo$22bo50$24b2o$20b2o2b2o$21b
o$18b3o$18bo5b2o$25bo$22b3o$22bo3$21b3o$21bo$22bo50$25b2o$22bo2b2o$20b
3o$19bo$19b2o$23b2o$22bobo$23bo3$21b3o$21bo$22bo50$9b2o$9b2o$3b2o$3b2o
$7b2o$6bo2bo$7bobo$8bo3$21b3o$21bo$22bo50$11b2o$11b2o$5b2o$5b2o$10b2o$
9bo2bo$9bobo$10bo3$21b3o$21bo$22bo50$22b2o$22b2o$17bo$16bobo$16bobo$
17bo3b2o$21bobo$22bo3$21b3o$21bo$22bo50$18b2o$18b2o2$13bo$12bobo3b2o$
12b2o3bobo$16bobo$17bo3$21b3o$21bo$22bo50$12b2o$7b2o2bobo$7b2o3bo3$6b
2o4b2o$6bobo2bobo$7b2o3bo3$21b3o$21bo$22bo50$11b2o$6b2o2bobo$5bobo3bo$
6bo2$10b2o$6b2o2bobo$6b2o3b2o3$21b3o$21bo$22bo50$17b2o$12bo3bobo$11bob
o3bo$11b2o2$16b2o$15bobo$15b2o3$21b3o$21bo$22bo50$16b2o$11bo3bobo$10bo
bo3bo$11bo2$14b2o$10b2o2b2o$10b2o3$21b3o$21bo$22bo50$17b2o$12bo3bobo$
11bobo3bo$12bo2$16b2o$15bobo$15b2o3$21b3o$21bo$22bo50$6b2o$b2o2bobo$ob
o3bo$2o2$6bo$b2o2bobo$b2o3b2o3$21b3o$21bo$22bo50$25b2o$24bobo$19b2o4bo
$19b2o2$24bo$23bobo$23b2o3$21b3o$21bo$22bo50$13b2o$12bobo$13bo2$8bo$7b
obo2b2o$7bobo2bobo$8bo4b2o3$21b3o$21bo$22bo50$7b2o$6bobo$7bo3$2bo4b2o$
bobo2bobo$2bo3b2o3$21b3o$21bo$22bo50$28bo$22b2o3bobo$22bobo3b2o$23bo3$
22b2o$22b2o3$21b3o$21bo$22bo50$20bo$14b2o3bobo$14bobo3b2o$15bobo$16bo$
20bo$19bobo$20bo3$21b3o$21bo$22bo50$24bo$19b2o2bobo$19b2o3b2o3$19b2o$
18bobo2b2o$18b2o3b2o3$21b3o$21bo$22bo50$10bo$5bo3bobo$4bobo3b2o$5b2o2$
10b2o$5b2o2bobo$5b2o2b2o3$21b3o$21bo$22bo50$19bo$14bo3bobo$13bobo3b2o$
13bobo$14bo$19bo$18bobo$18b2o3$21b3o$21bo$22bo50$20bo$15bo3bobo$14bobo
3b2o$15bo2$19b2o$15b2o2b2o$15b2o3$21b3o$21bo$22bo50$21bo$16b2o2bobo$
15bobo3b2o$15b2o2$19b2o$15b2o2b2o$15b2o3$21b3o$21bo$22bo50$7bo$2b2o2bo
bo$bobo3b2o$b2o2$7b2o$3b2o2b2o$3b2o3$21b3o$21bo$22bo50$8bo$3b2o2bobo$
2bobo3b2o$2b2o2$8bo$7bobo$8bo3$21b3o$21bo$22bo50$17bo$12b2o2bobo$11bob
o3b2o$11b2o3$14b2o$14b2o3$21b3o$21bo$22bo50$7bo$6bobo$2b2o3b2o$2b2o2$
7bo$b2o3bobo$b2o3b2o3$21b3o$21bo$22bo50$17bo$16bobo$12b2o3b2o$11bobo$
12bo2$14b2o$14b2o3$21b3o$21bo$22bo50$11bo$10bobo$11b2o$5b2o$5bobo$6bo
3b2o$10bobo$11b2o3$21b3o$21bo$22bo50$26bo$25bobo$26b2o$21bo$20bobo$21b
o3bo$24bobo$24b2o3$21b3o$21bo$22bo50$21bo$20bobo$21b2o$16b2o$15bobo$
15b2o3b2o$19bo2bo$20b2o3$21b3o$21bo$22bo50$11bo$10bobo$11b2o2$6bo$5bob
o3b2o$6b2o2bobo$10b2o3$21b3o$21bo$22bo50$15bo$9b2o3bobo$9b2o3b2o2$12bo
$10b3o$9bo$9b2o3$21b3o$21bo$22bo50$14bo$8b2o3bobo$8b2o3b2o3$9b2o$9bobo
$10bo3$21b3o$21bo$22bo50$8bo$2b2o3bobo$2bobo2b2o$3bo2$8bo$7bobo$8bo3$
21b3o$21bo$22bo50$11bo$6b2o2bobo$5bobo2b2o$6bo3$10b2o$10b2o3$21b3o$21b
o$22bo50$14bo$9bo3bobo$8bobo2b2o$8b2o2$12bo$11bobo$12b2o3$21b3o$21bo$
22bo50$14bo$9bo3bobo$8bobo2b2o$9bo2$12bo$11bobo$12b2o3$21b3o$21bo$22bo
50$25bo$20bo3bobo$19bobo2b2o$20bo2$25b2o$19b2o3bobo$19b2o3b2o3$21b3o$
21bo$22bo50$10bo$9bobo$5bo3b2o$4bobo$4b2o$8b2o$7bobo$7b2o3$21b3o$21bo$
22bo50$20bo$19bobo$19b2o$14b2o$14bobo$15bo3b2o$18bobo$18b2o3$21b3o$21b
o$22bo50$25bo$24bobo$24b2o2$20bo$19bobo$19bo2bo2b2o$20b2o3b2o3$21b3o$
21bo$22bo50$23bo$17b2o3bobo$17b2o3bobo$23bo2$19b2o$18bobo$19bo3$21b3o$
21bo$22bo50$19bo$13b2o3bobo$13b2o3bobo$19bo2$16bo$15bobo$15b2o3$21b3o$
21bo$22bo50$22bo$16b2o3bobo$16b2o3bobo$22bo3$16b2o4b2o$16b2o4b2o3$21b
3o$21bo$22bo50$25bo$20b2o2bobo$19bobo2bobo$19b2o4bo2$23bo$22bobo$22b2o
3$21b3o$21bo$22bo50$24bo$23bobo$23bobo$24bo$19b2o$18bo2bo$19b2o3b2o$
24b2o3$21b3o$21bo$22bo50$8bo$2b2o3bobo$2bobo3bo$3bo2$8b2o$3b2o3b2o$3b
2o3$21b3o$21bo$22bo50$28bo$22b2o3bobo$22bobo3bo$23bo3$22b2o$22b2o3$21b
3o$21bo$22bo50$25bo$24bobo$19b2o4bo$19b2o2$24bo$23bobo$23b2o3$21b3o$
21bo$22bo50$21bo$20bobo$16b2o3bo$15bo2bo$15bo2bo$16b2o3b2o$20bobo$20b
2o3$21b3o$21bo$22bo50$23bo$22bobo$18b2o3bo$17bobo$17b2o$21b2o$20bobo$
21bo3$21b3o$21bo$22bo50$22bo$21bobo$17b2o3bo$16bobo$16b2o$20b2o$19bobo
$19b2o3$21b3o$21bo$22bo50$26bo$25bobo$26bo$21bo$20bobo$21bo3bo$24bobo$
24b2o3$21b3o$21bo$22bo50$16bo$15bobo$16bo2$10b2o$10bobo3bo$11bo3bobo$
15b2o3$21b3o$21bo$22bo50$14bo$13bobo$14bo2$9bo$8bobo2b2o$8b2o3bobo$14b
o3$21b3o$21bo$22bo50$26bo$25bobo$26bo2$22b2o$21bobo$20bobo$21bo3$21b3o
$21bo$22bo50$28bo$27bobo$28bo3$23bo4b2o$22bobo2bobo$22b2o3b2o3$21b3o$
21bo$22bo50$24b2o$18b2o3bobo$18b2o3b2o3$19bo3b2o$18bobo2bobo$19b2o3bo
3$21b3o$21bo$22bo50$14b2o$8b2o3bobo$8b2o3b2o3$9b2o3b2o$8bobo2bobo$8b2o
3b2o3$21b3o$21bo$22bo50$14b2o$8b2o3bobo$8bobo2b2o$9bo2$12bo$11bobo$12b
2o3$21b3o$21bo$22bo50$11b2o$6b2o2bobo$6b2o2b2o3$6bo4b2o$5bobo3b2o$6b2o
3$21b3o$21bo$22bo50$16b2o$15bobo$10b2o3b2o$10b2o3$13b2o$13b2o3$21b3o$
21bo$22bo50$9b2o$8bobo$4b2o2b2o$3bobo$4bo2$6b2o$6b2o3$21b3o$21bo$22bo
50$9b2o$8bobo$8b2o$3b2o$3bobo$4b2o3bo$8bobo$9b2o3$21b3o$21bo$22bo50$
23bo$22bobo$21bo2bo$22b2o$18bo$17bobo$17bo2bo2b2o$18b2o3b2o3$21b3o$21b
o$22bo50$27b2o$28bo$25b3o$25bo$21b2o$21b2o$25b2o$25b2o3$21b3o$21bo$22b
o50$25b2o$26bo$23b3o$23bo2$19b2o4bo$19b2o3bobo$25b2o3$21b3o$21bo$22bo
50$10b2o$11bo$8b3o$8bo2$4b2o4b2o$4bobo3b2o$5b2o3$21b3o$21bo$22bo50$25b
2o$26bo$23b3o$23bo2$19b2o$19bobo3b2o$20b2o3b2o3$21b3o$21bo$22bo50$9bo$
8bobo$7bobo$7b2o2$4bo$3bobo$4bo3$21b3o$21bo$22bo!
-- and even a few G->3G splitters:

Code: Select all

x = 27, y = 1997, rule = B3/S23
19b2o$19bobo$20b2o$24b2o$23bobo$19b2o3bo$19bobo$20bo3$19b3o$19bo$20bo
50$4b2o$3bobo$3b2o2$8bo$7bobo$3b2o2bobo$3b2o3bo3$19b3o$19bo$20bo50$4b
2o$3bobo$3b2o2$8bo$7bobo$3b2o3bo$3b2o3$19b3o$19bo$20bo50$16b2o$12b2o2b
obo$12b2o3bo3$13bo3b2o$12bobo2b2o$12b2o3$19b3o$19bo$20bo50$19b2o$18bob
o$18b2o$14b2o$14bobo$15bo3b2o$18bobo$19bo3$19b3o$19bo$20bo50$18b2o$17b
obo$17b2o$13b2o$13bobo$14bo3b2o$17bobo$17b2o3$19b3o$19bo$20bo50$2o3b2o
$obo2bobo$b2o3bo2$4bo$3bobo$3b2o4$19b3o$19bo$20bo50$8b2o3b2o$8b2o2bobo
$13bo2$7b2o$7bobo2b2o$8bo3b2o4$19b3o$19bo$20bo50$17b2o3b2o$16bobo3b2o$
16b2o2$21b2o$20bo2bo$21b2o4$19b3o$19bo$20bo50$17b2o3b2o$16bobo3b2o$16b
2o2$21bo$20bobo$21bo4$19b3o$19bo$20bo50$8b2o$8bobo$9bo2$6b2o3bo$5bobo
2bobo$5b2o3b2o4$19b3o$19bo$20bo50$9b2o$9bobo$10bo2$7b2o3b2o$6bobo2bobo
$6b2o3b2o4$19b3o$19bo$20bo50$12b2o$12bobo$13bo3bo$16bobo$17bo$12b2o$
11bo2bo$12b2o3$19b3o$19bo$20bo50$14b2o3b2o$13bobo2bobo$14bo3b2o3$14b2o
3b2o$13bobo3b2o$13b2o3$19b3o$19bo$20bo50$7bo4b2o$6bobo2bobo$6b2o3b2o3$
7b2o$6bobo2b2o$6b2o3b2o3$19b3o$19bo$20bo50$15b2o3b2o$14bo2bo2b2o$15b2o
3$17b2o$16bobo$17bo3$19b3o$19bo$20bo50$6bo$5bobo$5bobo3bo$6bo3bobo$10b
2o2$5b2o$5b2o3$19b3o$19bo$20bo50$16b2o2b2o$15bobo2bobo$15b2o4b2o3$17b
2o$16bobo$17bo3$19b3o$19bo$20bo50$17b2o3b2o$16bobo3b2o$16b2o2$21b2o$
20bo2bo$21bobo$22bo3$19b3o$19bo$20bo50$5b2o$4bobo3bo$4b2o3bobo$9b2o2$
4b2o$4bobo$5b2o3$19b3o$19bo$20bo50$4b2o$3bobo$3b2o2$8bo$7bobo$3b2o2bo
2bo$3b2o3b2o3$19b3o$19bo$20bo50$6bo$5bobo$5b2o2$9bo$4b2o2bobo$4b2o2bo
2bo$9b2o3$19b3o$19bo$20bo50$21b2o$20bobo$20b2o2$25b2o$19b2o5bo$19b2o2b
3o$23bo3$19b3o$19bo$20bo50$11b2o$11bobo$12bo$8b2o$8bobo$9b2o3bo$13bobo
$13b2o3$19b3o$19bo$20bo50$14b2o$14bobo$15b2o$11b2o$11bobo$12bo4b2o$16b
obo$17bo3$19b3o$19bo$20bo50$7b2o$6bo2bo$7bobo$8bo2$5b2o3b2o$4bobo2bobo
$5bo4bo3$19b3o$19bo$20bo50$19b2o$19bobo$20bo$16b2o$15bobo$16bo4b2o$20b
obo$21bo3$19b3o$19bo$20bo50$8bo$7bobo$7b2o2$4b2o$4bobo3bo$5bo3bobo$9b
2o3$19b3o$19bo$20bo50$11b2o$10bobo$9bobo$10bo$13b2o$12bobo$7b2o3bo$7b
2o2b2o3$19b3o$19bo$20bo50$20b2o$16b2o2b2o$15bobo$16bo$20b2o$19bo2bo$
20bobo$21bo3$19b3o$19bo$20bo50$5b2o$b2o2b2o$obo$2o$6b2o$6bo$4bobo$4b2o
3$19b3o$19bo$20bo50$21bo$20bobo$16bo3b2o$15bobo$15bo2bo$16b2o3bo$20bob
o$20b2o3$19b3o$19bo$20bo50$14bo$8b2o3bobo$8bobo2bobo$9bo4bo2$11bo$10bo
bo$11bo3$19b3o$19bo$20bo!

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dvgrn
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Re: Glider-Powered Spaceships

Post by dvgrn » July 6th, 2020, 10:44 am

dvgrn wrote:
July 5th, 2020, 10:47 pm
More tomorrow, but here's a universal set of turners...
I've re-arranged the numbering system, on the theory that glider adjustment toolkits more commonly work in terms of how many ticks an OTT slows down/delays a glider, rather than how much it advances the glider from some default. I think maybe it's a little easier to think about this way.

We can do a lot better than just collecting one example of each of the sixteen categories of one-time turners. For example, here's an extended collection for just the 90degCP1 category (color-preserving, delays glider 1 tick compared to a CP0):

Code: Select all

x = 389, y = 487, rule = LifeHistory
132.2A$132.2A$132.3B$50.B82.3B2A$43.2B2A5B81.3BAB$43.2BA8B79.BABA2B$
36.7BABA9B78.B2A3B232.B$32.2B.8B2A4B2A5B75.7B230.7B$30.19B2A4B18.6D2.
7D6.2D35.7B175.6D4.6D5.2D31.3B2A5B$29.17BA7B18.D6.D.D6.D4.D2.D34.6B
175.D6.D2.D6.D3.D2.D31.BA2BA6B$28.17BABA3B20.D9.D7.D2.D4.D33.5B175.D
9.D10.D4.D30.BABA7B$27.4B.13B2AB.B21.D9.D7.D2.D4.D33.6B174.D9.D10.D4.
D30.2BA7B$26.4B4.2B2.B2.8B22.D9.D7.D2.D2.D.D32.8B173.D9.D10.D2.D.D28.
12B$25.4B13.7B22.D9.D6.D3.D.D2.D31.4B2.4B172.D9.D10.D.D2.D28.2A11B$
24.4B15.2B.4B21.D9.7D4.D4.D30.4B4.4B171.D9.D10.D4.D28.2A4B4.4B$23.4B
20.4B20.D9.D10.D4.D29.4B6.4B170.D9.D10.D4.D28.4B7.4B$22.4B22.4B20.D6.
D.D11.D2.D29.4B8.4B170.D6.D2.D6.D3.D2.D28.4B9.4B$21.BD2B24.4B20.6D2.D
12.2D29.D3B10.4B170.6D4.6D5.2D28.4B11.4B$20.2D2B26.B3A70.D3B12.B3A
219.4B13.B3A$21.2D28.A2B70.3D14.A2B218.4B15.A2B$52.A89.A218.4B17.A$
360.4B$359.4B$358.D3B$357.D3B$357.3D5$370.2A$249.2AB118.2A$40.B208.2A
B118.4B$37.2A3B168.2A39.3BA40.B76.2BA$36.ABA2B2A88.A73.5B2A2B37.2BABA
38.4B2.B2A69.BABA$35.B2A3BABA85.BABAB69.11B38.B2A39.6BABA69.B2A$34.4B
2.2BA85.3BA3B66.5BA.5B37.5B38.7B2A68.5B$33.4B4.3B83.10B63.5BABA5B37.
5B38.9B68.5B$32.4B6.2B29.6D2.7D6.D31.11B64.5BA7B35.5B38.8B13.6D4.6D5.
D34.5B$31.4B6.4B27.D6.D.D6.D4.2D30.4B.2A5B64.14B33.7B37.4B2A3B11.D6.D
2.D6.D3.2D33.7B$30.4B8.4B25.D9.D7.D2.D.D29.4B.ABA7B62.4B2.4B.4B31.4B.
4B36.3BABA3B10.D9.D10.D.D32.4B.4B$29.4B10.4B9.10D5.D9.D7.D4.D28.4B3.A
9B60.4B9.4B29.4B3.4B35.3B2A3B11.D9.D12.D31.4B3.4B$28.4B12.4B23.D9.D7.
D4.D27.4B7.6B60.4B11.4B27.4B5.4B33.8B12.D9.D12.D30.4B5.4B$27.4B14.4B
22.D9.D6.D5.D26.4B9.5B59.4B13.4B25.4B7.4B31.4B.B.2B12.D9.D12.D29.4B7.
4B$26.4B16.4B21.D9.7D6.D25.4B12.4B57.4B15.4B23.4B9.4B29.4B3.4B11.D9.D
12.D28.4B9.4B$25.4B18.4B5.10D5.D9.D12.D24.4B14.4B55.4B17.4B21.4B11.4B
27.4B5.4B10.D9.D12.D27.4B11.4B$24.4B20.4B20.D6.D.D12.D23.4B16.4B53.4B
19.4B19.4B13.4B25.4B7.4B10.D6.D2.D6.D4.D26.4B13.4B$23.BD2B22.4B20.6D
2.D10.5D20.4B18.4B51.BD2B21.4B17.BD2B15.4B23.BD2B9.4B10.6D4.6D3.5D23.
BD2B15.4B$22.2D2B24.B3A62.BD2B20.4B49.2D2B23.B3A15.2D2B17.B3A21.2D2B
11.B3A55.2D2B17.B3A$23.2D26.A2B61.2D2B22.B3A49.2D25.A2B16.2D19.A2B22.
2D13.A2B56.2D19.A2B$52.A63.2D24.A2B77.A39.A39.A79.A$143.A10$37.B2A
325.3B$36.BA2BA84.4B163.2B70.BA2B$35.3BA.A84.4B162.3B70.ABA2B$35.4BA
84.B.4B157.9B68.A.AB.B$36.4B83.2A6B155.10B69.A.4B$36.7B80.2A2B.4B113.
2A2B36.4B2A2B2A72.5B$35.2B2A5B81.3B.4B112.2A2B2A3B31.4B2A2B2A2B68.8B$
34.3B2A5B29.6D2.7D6.5D25.3B3.4B111.4B2A4B30.12B16.6D4.6D5.5D26.2A2B.
4B$33.4B.7B27.D6.D.D6.D4.D5.D23.BAB5.4B109.4B.6B29.12B16.D6.D2.D6.D3.
D5.D24.B2AB3.4B$32.4B2.2B2.4B25.D9.D7.D2.D7.D21.BABA6.4B107.4B2.7B27.
4B.8B15.D9.D10.D7.D22.4B5.4B$31.4B8.4B24.D9.D7.D10.D20.2B2A8.4B105.4B
3.2A6B25.4B2.2A7B14.D9.D18.D21.4B7.4B$30.4B10.4B23.D9.D7.D10.D19.4B
10.4B103.4B4.2A2B.4B23.4B3.2A8B13.D9.D18.D20.4B9.4B$29.4B12.4B22.D9.D
6.D9.2D19.4B12.4B101.4B6.3B2.4B21.4B7.8B12.D9.D16.2D20.4B11.4B$28.4B
14.4B21.D9.7D8.2D20.4B14.4B99.4B13.4B19.4B9.3B.4B11.D9.D14.2D21.4B13.
4B$27.4B16.4B20.D9.D12.2D21.4B16.4B97.4B15.4B17.4B11.B3.4B10.D9.D12.
2D22.4B15.4B$26.4B18.4B20.D6.D.D10.2D22.4B18.4B95.4B17.4B15.4B17.4B
10.D6.D2.D6.D2.2D23.4B17.4B$25.BD2B20.4B20.6D2.D10.9D14.D3B20.4B93.4B
19.4B13.4B19.4B10.6D4.6D3.9D15.D3B19.4B$24.2D2B22.B3A61.DBD22.B3A91.
4B21.B3A11.4B21.B3A52.DBD21.B3A$25.2D24.A2B61.2D24.A2B90.4B23.A2B10.D
3B23.A2B52.2D23.A2B$52.A89.A90.4B25.A11.DBD25.A79.A$232.D3B38.2D$232.
DBD$232.2D6$38.2A$37.B2A93.B$35.6B91.3B$35.6B89.5B$33.3B2A2B2A87.2B2A
3B$32.4B2A2B2A2B84.3BABA2B$32.12B84.4BABA2B236.2B$33.2B.7B86.2B.BA3B
235.2AB$36.7B89.4B235.B2A3B$36.8B29.6D2.7D6.5D33.4B177.6D4.6D5.5D31.
8B$35.10B27.D6.D.D6.D4.D5.D31.4B177.D6.D2.D6.D3.D5.D28.10B$34.12B25.D
9.D7.D2.D7.D29.6B175.D9.D10.D7.D26.2A9B$33.4B3.B2.4B24.D9.D7.D10.D28.
8B174.D9.D18.D26.2A8B$32.4B8.4B23.D9.D7.D9.D28.4B2.4B173.D9.D17.D27.
11B$31.4B10.4B22.D9.D6.D6.4D28.4B4.4B172.D9.D13.4D27.13B$30.4B12.4B
21.D9.7D11.D26.4B6.4B171.D9.D17.D25.4B3.8B$29.4B14.4B20.D9.D10.D7.D
24.4B8.4B170.D9.D10.D7.D23.4B4.3B2.4B$28.4B16.4B20.D6.D.D11.D6.D23.4B
10.4B170.D6.D2.D6.D3.D6.D22.4B6.2B3.4B$27.BD2B18.4B20.6D2.D12.6D23.4B
12.4B170.6D4.6D5.6D22.4B13.4B$26.2D2B20.B3A68.4B14.B3A217.4B15.B3A$
27.2D22.A2B67.DBDB16.A2B216.DBDB17.A2B$52.A68.2DB18.A217.2DB19.A$122.
D238.D10$38.B$37.3B$35.5B89.3B239.2A$34.3B2A2B86.3BA6B232.2B2A2B$33.
3BABA4B84.2BABA6B230.7B$33.4BA6B83.2B2A7B229.8B$34.2B.7B84.10B228.4B.
A2B$37.4B2A2B28.6D2.7D4.D37.8B175.6D4.6D3.D32.4B.ABA2B$37.3BABA3B26.D
6.D.D6.D3.D38.6B175.D6.D2.D6.D2.D31.4B2.A.AB$36.4B2A4B25.D9.D7.D2.D5.
D33.4B175.D9.D10.D5.D24.4B4.A4B$35.12B24.D9.D7.D2.D5.D32.6B174.D9.D
10.D5.D23.4B5.6B$34.4B3.7B23.D9.D7.D2.D5.D31.8B173.D9.D10.D5.D22.4B5.
8B$33.4B8.4B22.D9.D6.D3.D5.D30.4B2.4B172.D9.D10.D5.D21.4B7.8B$32.4B
10.4B21.D9.7D4.9D27.4B4.4B171.D9.D10.9D18.4B10.2B.4B$31.4B12.4B20.D9.
D16.D28.4B6.4B170.D9.D16.D19.4B15.4B$30.4B14.4B20.D6.D.D16.D27.4B8.4B
170.D6.D2.D6.D8.D18.4B17.4B$29.BD2B16.4B20.6D2.D16.D26.4B10.4B170.6D
4.6D9.D17.4B19.4B$28.2D2B18.B3A70.D3B12.B3A211.D3B22.3A$29.2D20.A2B
69.D3B14.A2B210.D3B23.A2B$52.A70.3D16.A211.3D25.A9$44.2B$42.6B$41.3B
2A3B$40.2A2BA.A2B$40.2A3BA2B$41.6B$39.9B$38.4BA6B$38.3BABA5B82.4B$39.
2B2A7B23.6D2.7D4.9D29.6B177.6D4.6D3.9D32.2A$39.11B22.D6.D.D6.D3.D36.
7B176.D6.D2.D6.D2.D40.2A$38.12B21.D9.D7.D2.D35.9B174.D9.D10.D40.4B$
37.12B22.D9.D7.D2.D34.3B2A7B172.D9.D10.D40.B.2B$36.4B3.5B23.D9.D7.D2.
7D27.3BABA8B171.D9.D10.7D32.2A5B$35.4B6.4B22.D9.D6.D10.D25.5BA9B171.D
9.D17.D30.ABAB.4B$34.4B8.4B21.D9.7D12.D23.16B171.D9.D18.D28.B2AB3.4B$
33.4B10.4B20.D9.D18.D22.12B2.4B170.D9.D18.D27.4B5.4B$32.4B12.4B20.D6.
D.D10.D6.D22.BD2B3.2AB.B4.4B170.D6.D2.D6.D2.D6.D27.4B7.4B$31.BD2B14.
4B20.6D2.D11.6D22.2D2B4.2A8.4B170.6D4.6D4.6D27.4B9.4B$30.2D2B16.B3A
68.2D16.B3A221.4B11.4B$31.2D18.A2B87.A2B220.4B13.4B$52.A89.A220.4B15.
4B$362.4B17.4B$361.4B19.4B$360.4B21.B3A$359.4B23.A2B$358.BD2B25.A$
357.2D2B$358.2D$37.2B$36.4B$34.9B2A$34.9B2A$35.5BA4B$37.2BABA2B90.2B
2A$37.3BA4B88.3BAB229.2B$38.5B2AB87.BABAB228.3B$38.4BABAB87.B2A2B227.
5B$38.4B2A3B84.6B227.6B$38.8B27.6D2.7D6.6D31.5B177.6D4.6D5.6D23.3BA3B
.4B$37.8B27.D6.D.D6.D4.D6.D30.4B177.D6.D2.D6.D3.D6.D21.3BABA2B.4B$37.
9B25.D9.D7.D2.D37.6B175.D9.D10.D28.5BA9B$37.10B24.D9.D7.D2.D36.8B174.
D9.D10.D27.4B2.3B2A6B$38.10B23.D9.D7.D2.7D29.4B2.4B173.D9.D10.7D20.4B
3.2BABA7B$37.4B4.4B22.D9.D6.D3.D6.D27.4B4.4B172.D9.D10.D6.D18.4B4.2B
2A9B$36.4B6.4B21.D9.7D4.D7.D25.4B6.4B171.D9.D10.D7.D16.4B5.14B$35.4B
8.4B20.D9.D10.D7.D24.4B8.4B170.D9.D10.D7.D15.4B8.4B2.2B.4B$34.4B10.4B
20.D6.D.D11.D5.D24.4B10.4B170.D6.D2.D6.D3.D5.D15.D3B19.4B$33.BD2B12.
4B20.6D2.D12.5D24.4B12.4B170.6D4.6D5.5D16.DBD21.4B$32.2D2B14.B3A68.D
3B14.B3A211.2D23.B3A$33.2D16.A2B68.DBD16.A2B237.A2B$52.A69.2D18.A239.
A12$129.AB$38.2B88.A.A2B$37.B2A5B84.2A2B$37.ABA7B80.7B$36.2BA3B2A5B
77.2A5B146.6B85.2A$35.6BABA5B76.B2A5B146.7B83.ABA$35.7BA5B25.6D2.7D4.
9D23.4B2.4B144.2A6B27.6D4.6D3.9D27.2BA3B$35.3B2A7B25.D6.D.D6.D10.D23.
4B4.4B142.B2A5B27.D6.D2.D6.D9.D26.9B$34.3BA2BA6B24.D9.D7.D8.D23.4B6.
4B140.10B25.D9.D16.D24.5BA7B$35.3B2A7B24.D9.D7.D7.D23.4B8.4B139.11B
24.D9.D15.D25.4BABA2B.4B$35.13B23.D9.D7.D6.D23.4B10.4B139.11B23.D9.D
14.D26.4B2A3B2.4B$39.4B2.4B22.D9.D6.D7.D22.4B12.4B138.3B2A2B.4B22.D9.
D14.D26.9B3.4B$38.4B4.4B21.D9.7D7.D22.4B14.4B135.2A3B2A2B2.4B21.D9.D
13.D27.7B6.4B$37.4B6.4B20.D9.D13.D21.4B16.4B134.2A6B4.4B20.D9.D13.D
26.8B7.4B$36.4B8.4B20.D6.D.D12.D21.4B18.4B135.5B6.4B20.D6.D2.D6.D4.D
26.4B3.B9.4B$35.BD2B10.4B20.6D2.D12.D20.4B20.4B133.4B9.4B20.6D4.6D5.D
25.4B15.4B$34.2D2B12.B3A60.DBDB22.B3A131.4B11.B3A65.4B17.B3A$35.2D14.
A2B60.2DB24.A2B130.4B13.A2B64.4B19.A2B$52.A62.D26.A130.4B15.A64.4B21.
A$272.4B80.4B$271.DBDB80.4B$271.2DB80.4B$272.D80.DBDB$353.2DB$354.D7$
46.B$45.4B2.B2A$45.6BABA$44.7B2A$44.9B$43.8B$43.4B2A3B$43.3BABA3B$43.
4BA3B$42.8B$41.4B.3B$40.4B2.4B$39.4B4.4B$38.4B6.4B$37.BD2B8.5B$36.2D
2B10.B3A$37.2D12.A2B$52.A11$46.2A$46.2A$44.4B$43.2AB$42.ABA4B$43.A3BA
2B$42.4BABA3B$41.6BA4B$39.13B$39.13B$40.11B$41.9B$41.8B$42.8B$41.4B2.
4B$40.4B4.4B$39.BD2B6.4B$38.2D2B8.B3A$39.2D10.A2B$52.A15$48.B$46.4B$
41.2A2.2B2A3B$41.2A2.BABA3B$41.5B2A4B$40.12B$41.12B$41.B2A9B$40.BABA
9B$41.BA9B$41.10B$42.10B$41.BD10B$40.2D9B3A$41.2D2.4B2.A2B$46.3B3.A$
47.B21$48.3B$47.4B$46.4B$45.4B$44.4B$43.BD2B$42.2D2B$43.2D14$44.B$43.
4B8.B$43.5B6.4B$41.7B6.5B$40.B2A5B2.9B$40.B2A17B$40.6BA14B$40.5BABA
12B$40.5BA2BA11B$40.B2A3B2A11B$39.2BABA14B$39.3BA14B$40.16B$39.15B$
40.6BD6B$40.4B2D2B2.B3A$40.4B.2D4.A2B$52.A11$46.2B$45.3B$44.6B$42.9B
4.2B$41.10B3.4B$38.B2.3B.8B.4B$37.21B$37.22B$37.12BA9B$38.6B2A2BABA8B
$37.7B2A2BA2BA8B$38.11B2A8B$42.16B$41.3B2A12B$41.3BABA10B$40.5BA8B$
41.7BD4B$42.4B2D3B3A$47.2D2.A2B$52.A16$10.B2A$7.4BAB47.2B$6.6B3A40.B
2.6B$4.10BAB37.13B$2.5B2A7B36.B2A12B$.6BA7B34.4B2A11B$2.6B3A5B33.16B$
2.8BA4B33.2B2A13B$2.13B33.BA2BA11B$3.11B33.2BABA12B$3.9B35.3BA12B$4.
6BD2B34.3BD12B$4.4B2DB3A33.B2DB3A8B$3.6B2DA2B34.B2DA9B$.11BAB34.4BA5B
$15B33.10B$14B34.7B$14B34.6B$13B35.5B$12B37.4B$11B38.4B$.10B39.2B$.9B
$.9B$2.2B2.3B$6.3B$7.B5$46.3B$46.5B$44.8B$43.8B$41.11BDB$39.11B2D2B$
39.12B2D$38.5B2A2B2A3B$38.5B2A2B2A2B$38.14B$38.15B$39.2B2A3B2A3B3A$
40.B2A2BA2BA2BA2B$41.5B2A4BA2B$41.14B$40.14B$39.4B.8B$38.4B2.4B2.B$
37.4B$36.4B$35.4B$34.4B$33.4B$32.4B$31.4B$30.4B$29.4B$28.4B$27.4B$29.
B!
The 8x8 search space included at least one representative of each timing subcategory of CP1 in a wide range, with just one exception.

This means that it will often be possible to avoid the use of trombone slide mechanisms. Instead we can just calculate the timing adjustment needed for each OTT-chain output, and swap out the reflectors in that chain to produce the exact timing needed. If initial G->2G and G->3G splitters are chosen well, this should reduce the size of the average seed mechanism by quite a bit.

EDIT: I've attached the complete output of the categorization script. I haven't yet triple-checked that all the categories contain the correct OTTs, but based on the random sampling I've done so far it looks pretty good. Now planning to sort each file into multiple columns based on the absolute delay, so any OTT in a given column can be swapped for any other OTT in that column with no adjustments needed.
OTTs-by-category.zip
(137.42 KiB) Downloaded 139 times

User avatar
NoAyeBeardo
Posts: 261
Joined: June 16th, 2020, 12:38 pm
Location: A house, or a flat, or a [click to expand]

Re: Glider-Powered Spaceships

Post by NoAyeBeardo » July 10th, 2020, 6:47 am

Ok. Could someone complete the seed?

(I don't really have the time to do so)
Not inactive any more! :D

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Entity Valkyrie 2
Posts: 1758
Joined: February 26th, 2019, 7:13 pm
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Re: Glider-Powered Spaceships

Post by Entity Valkyrie 2 » July 10th, 2020, 6:52 pm

Crossposting a glider-to-loafer:

Code: Select all

x = 525, y = 523, rule = B3/S23
136bo$137b2o$136b2o38$176bo$177b2o$176b2o16$239bo$237b3o$236bo$236b2o
8bo$245bobo36b2o$245bobo2b2o3bo29bo$244b2ob2o2bo2bobo12bo15bobo$248bob
o3bobo10b3o16b2o37b2o$244b2obo2b4obo10bo58bobo$244b2obobo3bo12b2o12b2o
45bo4b2o$248bobo3bo25bo42b4ob2o2bo2bo$249bobo3bo25b3o39bo2bobobobob2o$
250bo3b2o27bo42bobobobo$275b2o50b2obobo$276bo54bo$276bobo17b2o$241b2o
34b2o17bobo18b2o$223b2o16b2o55bo19bo7b2o$223bo2b2o70b2o18bobo5b2o$224b
2o2bo90b2o$227bo$224b3o$216bo6bo$217b2o4b2o13b2o$216b2o20bo$239b3o24b
2o28b2o$241bo11b2o11b2o28bo32b2o$254bo39bobo32bo$251b3o31bo8b2o34b3o$
251bo11bo20bobo2bo42bo$213b2o46b3o21bo3b3o$212bobo5b2o38bo31bo$212bo7b
2o37bobo25b4ob3o$211b2o46bobo25bo2bo4bo$260bo31b3o$225bo65b2o$221b2obo
bo$220bobobobo$217bo2bobobobob2o$217b4ob2o2bo2bo14b2o$221bo4b2o16b2o$
219bobo$219b2o$265bo$265b3o$268bo$267b2o$257b2o$257b2o$333b2o$247bob2o
82bobo$245b3ob2o84bo4b2o$244bo86b4ob2o2bo2bo$219b2o24b3ob2o80bo2bobobo
bob2o$218bobo26b2o2bo82bobobobo$212b2o4bo31bobo82b2obobo$210bo2bo2b2ob
4o23bob2obobo85bo$210b2obobobobo2bo23b2obo2bo16b2o$213bobobobo29bo19bo
55b2o$213bobob2o30b2o16bobo56bo7b2o$214bo32b2o2bobo13b2o57bobo5b2o17bo
$246bo2bo2b2o73b2o22b3o$227b2o18b2o101bo$218b2o7bo122b2o$218b2o5bobo$
225b2o$358b2ob2o$359bob2o$337b2o20bo$337bo13b2o4b3o$338b3o10b2o3bo3b2o
$340bo15b4o2bo$215b2o32b2o15b2o72bob2o15bob2o$216bo31bobo15b2o70b2obob
o12b3o2bo$213b3o32bo89bo2bo13bo5bo$213bo33b2o91b2o14b5o$358bo3$357b2o$
357bobo$359bo4b2o$254b2o99b4ob2o2bo2bo$255bo99bo2bobobobob2o$255bobo
100bobobobo$256b2o101b2obobo$363bo2$349b2o$205b2o143bo7b2o$204bobo143b
obo5b2o17bo$198b2o4bo146b2o22b3o$196bo2bo2b2ob4o165bo$196b2obobobobo2b
o165b2o$199bobobobo$199bobob2o108bo$200bo112b3o66b2o$257b2o15b2o40bo
66bo$213b2o42b2o15bobo38b2o44b2o20bob2o$204b2o7bo62bo84bo13b2o4b3o2bo$
204b2o5bobo62b2o84b3o10b2o3bo3b2o$211b2o94b2o55bo15b4o$307bo56bob2o15b
o4b2o$304b2obo54b2obobo12b3o5bobo$304bo2b3o4b2o46bo2bo13bo10bo4b2o$
305b2o3bo3b2o48b2o14b5ob4ob2o2bo2bo$307b4o73bobo2bobobobob2o$269b2o36b
o15b2o57bo6bobobobo$201b2o66bo38b3o12bobo56b2o6b2obobo$202bo64bobo41bo
13bo68bo$199b3o65b2o37b5o14b2o$199bo106bo73b2o$308bo23bo48bo7b2o$307b
2o21b3o48bobo5b2o$329bo52b2o$329b2o16bo$347b3o$350bo$349b2o3$341b2o49b
2o$249b2o15b2o51b2o20bo50bo$248bobo15b2o50bobo5b2o10b2obo51b3o$248bo
69bo7b2o10bo2b3o4b2o45bo$247b2o68b2o20b2o3bo3b2o$341b4o$314bo16bo9bo
15b2o$314b3o10b2obobo9b3o12bobo$304bo12bo8bobobobo12bo13bo$304b3o7b4o
5bo2bobobobob2o4b5o14b2o$307bo6bo8b4ob2o2bo2bo4bo$254b2o50b2o9b3o7bo4b
2o8bo23bo$255bo61bo2bo4bobo13b2o21b3o$255bobo61b2o4b2o36bo$256b2o40b2o
2bo27bo32b2o$298bo2bobo24b3o$299bob2o24bo$300bo26b2o$301b2o8b2o$178b2o
122bo8bobo$177bobo120bo11bo22b2o$171b2o4bo122b2o34bo16b2o$169bo2bo2b2o
b4o154bob2o12bobo5b2o$169b2obobobobo2bo4b2o140b2o4b3o2bo12bo7b2o$172bo
bobobo8bo123b2o15b2o3bo3b2o12b2o$172bobob2o7bo125bo21b4o$173bo11b5o67b
2o15b2o36b3o4b2o15bo28bo$189bo67b2o15bobo37bo3bobo12b3o16b2o7b2obobo$
183b4o89bo41bo13bo19b2o6bobobobo$177b2o4bo2bo89b2o39b2o14b5o19bo2bobob
obob2o24b2o11bo$177b2o158bo19b4ob2o2bo2bo24b2o10bobo$190b2o143bo25bo4b
2o38bobo2b2o3bo$185b2obo2bo143b2o22bobo43b2ob2o2bo2bobo7b2o21b2o$185b
2ob2o30b2o137b2o48bobo3bobo7b2o22bo$219bobo141b2o40b2obo2b4obo30bo5b2o
$213b2o4bo143bobo39b2obobo3bo32b2o5bo$211bo2bo2b2ob4o45b2o94bo4b2o37bo
bo3bo38bob2o$211b2obobobobo2bo45bo91b4ob2o2bo2bo36bobo3bo30b2o2b2obo2b
o$174b2o38bobobobo46bobo91bo2bobobobob2o37bo3b2o30b2o3bob2o$175bo38bob
ob2o47b2o95bobobobo81bo$172b3o40bo149b2obobo80b2o$172bo196bo$228b2o
172b2o53b2o$180b2o37b2o7bo126b2o45b2o54bo$179bobo37b2o5bobo127bo7b2o
21b2o69bob2o$173b2o4bo46b2o128bobo5b2o20bo2bo60b2o4b3o2bo$171bo2bo2b2o
b4o173b2o26bob2o61b2o3bo3b2o$171b2obobobobo2bo201bo48b2o19b4o$174bobob
obo19bo183b2o48b2o5b2o15bo$174bobob2o20b3o87bo149bobo12b3o$175bo27bo
86b3o89b4o12b2o40bo13bo$202b2o45b2o15b2o25bo87bo3bo13bo39b2o14b5o$188b
2o26b2o30bobo15b2o24b2o40bo46b2o16bobo11b2o44bo$179b2o7bo28bo30bo79b2o
3bobo31b2o31b2o10bobo42bo$161bo17b2o5bobo25b3o30b2o80bo3bo2bo30bo44bo
44b2o$161b3o22b2o26bo69b2o43bob2obobo31b3o40b2o$164bo119bo45bobobob2o
6b2o24bo$163b2o116b2obo34bo13b2obo2bo5bo$212b2o67bo2b3o4b2o26b3o16b2o
3bo$205b2o5bobo67b2o3bo3b2o29bo20b5o14b2o7b2o$155b2o48b2o7bo69b4o33b2o
25bo13bo7bobo5b2o$155bo58b2o38b2o28bo15b2o14b2o27b3o12bobo7bo7b2o$152b
2obo20b2o77bo29b3o12bobo2b2o10bo26bo15b2o7b2o$152bo2b3o4b2o13bo23bo53b
obo30bo13bo2bo11bobo24b4o$153b2o3bo3b2o10b3o23bobob2o50b2o25b5o14b3o2b
o10b2o16b2o4b2o3bo3b2o30bo$155b4o15bo25bobobobo76bo21b3o28b2o3bo2b3o4b
2o26b2obobo$155bo15b2obo22b2obobobobo2bo75bo18bo36b2obo33bobobobo$156b
3o12bobob2o20bo2bo2b2ob4o74b2o18b2o38bo30bo2bobobobob2o$159bo13bo2bo
22b2o4bo83b2o53b2o29b4ob2o2bo2bo123b2o$154b5o14b2o30bobo82bo45b2o41bo
4b2o125b2o$154bo51b2o82bob2o42b2o39bobo$156bo134bo2bo57b2o23b2o$155b2o
135b2o59bo166bo$307b2o41b3o24b2o140bobo$307b2o41bo26bo142bo$379bo$257b
2o15b2o60bo22b2o14b5o$189bo67b2o15bobo58bobo22bo13bo139b2o$187b3o86bo
39bo3b2o14bo23bobo12b3o136b2o$186bo89b2o37bobo3bo39b2o15bo$186b2o126bo
bo3bo54b4o142b2o$310b2obobo3bo50b2o3bo3b2o140bobo$141b2o136b2o29b2obo
2b4obo4b2o42b2o4b3o2bo141bo$140bobo51b2o83bobo32bobo3b2o3bobo50bob2o
126b2o13b2o$134b2o4bo54bo85bo4b2o22b2ob2obobo6bo52bo130bo$132bo2bo2b2o
b4o50bob2o78b4ob2o2bo2bo21bobo3bob3o2b2o51b2o127b3o6b2o$132b2obobobobo
2bo42b2o4b3o2bo70b2o6bo2bobobobob2o21bobo4bo2bo184bo8b2o$135bobobobo
45b2o3bo3b2o71bo10bobobobo25bo6b2o$135bobob2o51b4o71bobo11b2obobo64bo
17b2o$136bo41b2o15bo71b2o16bo13b2o48b3o17bo$177bobo12b3o10b2o92b2o47bo
21b3o$149b2o26bo13bo5bob2o3bobo64b2o75b2o22bo$140b2o7bo26b2o14b6obo4bo
67bo7b2o13b2o$140b2o5bobo49bo2b2ob4o63bobo5b2o13bobo$147b2o45b4obobobo
bo2bo64b2o22bo5b2o$94bo99bo2bobobobobo91b2o5bo$94b3o98bobobobob2o99bob
2o$97bo98bo3bo96b2o2b2obo2bo$96b2o199b2o3bob2o32b2o$120b2o91b2o87bo34b
obo5b2o$120b2o82b2o7bo87b2o34bo7b2o$88b2o47b2o65b2o5bobo35b2o15b2o15b
2o51b2o$63bo24bo49bo72b2o35bobo15b2o15bo23b2o119b2o$63b3o19b2obo23bo
22b3o46bo63bo35b3o21bo41bo77bo$66bo18bo2b3o4b2o14bobo21bo48b3o60b2o37b
o21bob2o34b2obobo74bobo$65b2o19b2o3bo3b2o15bo74bo112b2o4b3o2bo33bobobo
bo74b2o$88b4o66bo27b2o112b2o3bo3b2o31bo2bobobobob2o$88bo15b2o52b3o144b
4o33b4ob2o2bo2bo$57b2o30b3o12bobo10b2o42bo129b2o15bo37bo4b2o$57bo34bo
13bo10b2o41b2o16b2o21b2o87bobo12b3o36bobo$54b2obo29b5o14b2o70bo23bo51b
o35bo13bo39b2o$54bo2b3o4b2o21bo22b2o63b2obo20b3o52b3o32b2o14b5o$55b2o
3bo3b2o23bo19bobo63bo2b3o4b2o12bo57bo51bo111b2o4b2o$57b4o27b2o19bo66b
2o3bo3b2o69b2o49bo113b2o4b2o$57bo15b2o33b2o13b2o53b4o125b2o$58b3o12bob
o47bo54bo15b2o$61bo13bo40b2o6b3o43b2o7b3o12bobo$56b5o14b2o39b2o8bo36b
2o5bobo9bo13bo225b2o$56bo27bo37bo40b2o7bo4b5o14b2o99b2o11bo102b2obo5b
2o2b2o$58bo23b3o35b3o49b2o3bo119b2o10bobo101b2ob3o7bobo$57b2o22bo37bo
59bo129bobo2b2o3bo99bo8bo$81b2o36b2o38bo18b2o128b2ob2o2bo2bobo7b2o83b
2ob3o9b2o$158bobob2o4b2o142bobo3bobo7b2o84bobo$158bobobobo2bo2bo137b2o
bo2b4obo94bobo$89b2o36b2o26b2obobobobo3b2o106b2o30b2obobo3bo97bo$90bo
37bo26bo2bo2b2ob4o108b2o34bobo3bo$90bob2o34bob2o25b2o4bo3bo145bobo3bo$
82b2o4b3o2bo26b2o4b3o2bo31bo2bo147bo3b2o$82b2o3bo3b2o27b2o3bo3b2o30bob
obo248b2o$87b4o34b4o30b3ob2o249bobo$73b2o15bo20b2o15bo29bo230b2o25bo$
72bobo12b3o20bobo12b3o30b2o145b2o83bo25b2o$72bo13bo23bo13bo180b2o83bob
o15b2o$71b2o14b5o17b2o14b5o131b2o27b2o99b2o15b2o$9bo81bo37bo36b2o93b2o
26bo2bo$9b3o50bo26bo37bo39bo120bob2o$12bo49b3o24b2o36b2o38bob2o117bo
48b2o$11b2o52bo93b2o4b3o2bo116b2o48b2o$64b2o93b2o3bo3b2o$164b4o133b2o$
3b2o90bo54b2o15bo134bo$3bo52b2o37b3o51bobo12b3o28b2o105bobo11b2o$2obo
52bo41bo43bo6bo13bo31bobo105b2o10bobo$o2b3o4b2o41b2obo40b2o43b3o3b2o
14b5o28bo4b2o111bo73b2o$b2o3bo3b2o41bo2b3o4b2o80bo22bo24b4ob2o2bo2bo
46bo61b2o72bo2bo2b2o$3b4o47b2o3bo3b2o79b2o20bo26bo2bobobobob2o46b3o
134b2o2bobo13b2o$3bo15b2o35b4o29b2o75b2o28bobobobo52bo135b2o16bobo$4b
3o12bobo34bo15b2o15bo107b2obobo51b2o135bo19bo$7bo13bo35b3o12bobo11b2ob
o46b2o63bo186b2obo2bo16b2o$2b5o14b2o37bo13bo11bo2b3o4b2o38bo251bob2obo
bo$2bo52b5o14b2o11b2o3bo3b2o35b2obo50b2o203bobo$4bo50bo27bo5b4o40bo2b
3o4b2o43bo7b2o191b2o2bo$3b2o52bo23b3o5bo15b2o3b2o22b2o3bo3b2o43bobo5b
2o189b3ob2o$56b2o22bo9b3o12bobobobo24b4o49b2o25bo169bo$80b2o11bo13bobo
26bo15b2o60b3o47b2o121b3ob2o$88b5o14bo2bo26b3o12bobo58bo43b2o5bobo122b
ob2o$87bo20bobo29bo13bo6bo51b2o27bo14b2o7bo$88b2ob2o16bo25b5o14b2o3b3o
78b3o23b2o131b2o$89bobobo41bo22bo80bo159b2o7b2o$89bobobo43bo20b2o61b2o
16b2o8bo3bo154bo2bo$81b2o4b3o2bo43b2o61b2o21bo25bobobobob2o148bobob2o$
81b2o3bo3b2o107bo22bob2o21bo2bobobobobo147b2obo$86b4o34b2o40b2o32b3o
11b2o4b3o2bo21b2obobobobobo2bo147bo$72b2o15bo34b2o41bo34bo11b2o3bo3b2o
23bobobo2b2ob4o147b3o$71bobo12b3o78bob2o48b4o25bobobo4bo154bo$71bo13bo
73b2o4b3o2bo34b2o15bo17b2o4b3o2bo5bobo126b2o23b2o$63bo6b2o14b5o13bo54b
2o3bo3b2o34bobo12b3o4b2o12b2o3bo3b2o7b2o126b2o$63b3o24bo11b3o59b4o29bo
6bo13bo5bo2bo17b4o$66bo21bo12bo48b2o15bo29b3o3b2o14b7o5b2o15bo$65b2o
21b2o11b2o46bobo12b3o33bo29bobo12b3o$111b2o36bo13bo35b2o18b2o2bo6bo13b
o$111b2o35b2o14b5o50b2o2b3o3b2o14b5o152bo$57b2o109bo57bo22bo151bobo17b
2o$57bo61b2obo43bo24b2o32b2o20bo153bobo10b2o5bobo$54b2obo61b2ob3o41b2o
23bo55b2o153bo11b2o7bo$54bo2b3o4b2o59bo62b2obo211b3o17b2o$55b2o3bo3b2o
53b2ob3o63bo2b3o4b2o17b2o186bo$57b4o57bo2b2o66b2o3bo3b2o17bo192bo$57bo
15b2o42bobo71b4o19b2obo191bobob2o$58b3o12bobo40bobob2obo9bo57bo15b2o5b
o2b3o4b2o183bobobobo$61bo13bo12bo28bo2bob2o9b3o56b3o12bobo5b2o3bo3b2o
180b2obobobobo2bo$56b5o14b2o10bobo30bo15bo58bo13bo7b4o185bo2bo2b2ob4o$
56bo30bobo29b2o14b2o53b5o14b2o6bo15b2o173b2o4bo$58bo26b3ob2o25bobo2b2o
67bo27b3o12bobo2b2o174bobo$57b2o25bo31b2o2bo2bo68bo28bo13bo2bo176b2o$
85b3ob2o30b2o4b2o62b2o23b5o14b3o2bo$87bob2o36bo88bo21b3o$124b2obo90bo
18bo$124bo2b3o4b2o81b2o18b2o$125b2o3bo3b2o$127b4o$127bo15b2o$128b3o12b
obo2b2o$114b2o15bo13bo2bo$114b2o10b5o14b3o2bo$126bo21b3o76b2o$128bo18b
o78bobo5b2o$115b2o10b2o18b2o77bo7b2o$115bo109b2o$95b2o19b3o41b2o$95bo
2bob2o16bo41bobo76bo$96b3obobo59bo4b2o66b2obobo$100bobo2bo52b4ob2o2bo
2bo63bobobobo$98b3ob4o52bo2bobobobob2o60bo2bobobobob2o$97bo3bo35b2o22b
obobobo63b4ob2o2bo2bo$98bo2bob3o30bobo5b2o16b2obobo67bo4b2o$99bobobo2b
o29bo7b2o20bo66bobo$100bo3b2o29b2o96b2o$152b2o$149bo3bo7b2o$145b2obobo
2bobo5b2o$144bobobobo3b2o$141bo2bobobob2o52bo$141b4ob2o2bo53b3o$145bo
4bobo54bo7b2o$143bobo5b2o41b2o10b2o7b2o$143b2o50bo$183b2o10bobo$164b2o
16bobo11b2o$164bo3bo13bo$165b4o12b2o2$145bo21b2o$143b3o22bo$142bo25bob
2o$142b2o25bo2bo$170b2o$185b2o$185b2o23b2o$210bo13bobobobo$211b3o9bob
2ob2obo$213bo9bo3bo3bo$132b2o60bo3b2o22b2o3bob2o$131bobo5b2o52bobo3bo
28bo$131bo7b2o51bobo3bo27bobo$130b2o56b2obobo3bo28b2o$188b2obo2b4obo$
144bo47bobo3bobo$140b2obobo29b2o11b2ob2o2bo2bobo$139bobobobo30bo12bobo
2b2o3bo$136bo2bobobobob2o24b3o13bobo$136b4ob2o2bo2bo24bo16bo$140bo4b2o
$138bobo12b2o$138b2o14bo14b2o11b2o$144bo9bobo12b2o11bobo$142b3o10b2o
27bo4b2o$141bo25b4o9b4ob2o2bo2bo83bo$141b2o23bo3bo9bo2bobobobob2o65b2o
14b5o$126b2o39bo15bobobobo69bo13bo5bo$127bo37bobo16b2obobo69bobo12b3o
2bo$127bob2o34b2o21bo71b2o15bob2o$128bo2bo37b2ob2ob2o97b4o2bo$129b2o
39bob2obo93b2o3bo3b2o$144b2o24bo4bo7b2o84b2o4b3o$144b2o23b2o4bobo5b2o
92bo$176b2o99bob2o$276b2ob2o2$153bo3b2o$152bobo3bo109b2o$151bobo3bo
110bo$147b2obobo3bo112b3o$147b2obo2b4obo27b2o83bo$151bobo3bobo26bo21bo
$147b2ob2o2bo2bobo27b3o16b3o$148bobo2b2o3bo25b3o2bo15bo$148bobo33bo2bo
17b2o$139b2o8bo32bobo2b2o$139bo42b2o$140b3o$142bo24b2o$167b2o2$195b2o$
184b2o8bobo5b2o$177b2o5b2o8bo7b2o$177b2o14b2o2$172bo34bo$171bobo29b2ob
obo$172bo6b2o21bobobobo$179bo19bo2bobobob2o$180b3o16b4ob2o2bo$182bo20b
o4bo$199b2o2bob3o$199b2o3b2o39$201b2o$201bo$199bobo$199b2o2$184b2o$
184b2o2$193b2o$193b2o6b2o$201b2o3$189bo$188bobo$189bo6b2o$196bo$197b3o
$199bo!
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NoAyeBeardo
Posts: 261
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Re: Glider-Powered Spaceships

Post by NoAyeBeardo » July 13th, 2020, 6:59 am

Entity Valkyrie 2 wrote:
July 10th, 2020, 6:52 pm
Crossposting a glider-to-loafer:

Code: Select all

x = 525, y = 523, rule = B3/S23
136bo$137b2o$136b2o38$176bo$177b2o$176b2o16$239bo$237b3o$236bo$236b2o
8bo$245bobo36b2o$245bobo2b2o3bo29bo$244b2ob2o2bo2bobo12bo15bobo$248bob
o3bobo10b3o16b2o37b2o$244b2obo2b4obo10bo58bobo$244b2obobo3bo12b2o12b2o
45bo4b2o$248bobo3bo25bo42b4ob2o2bo2bo$249bobo3bo25b3o39bo2bobobobob2o$
250bo3b2o27bo42bobobobo$275b2o50b2obobo$276bo54bo$276bobo17b2o$241b2o
34b2o17bobo18b2o$223b2o16b2o55bo19bo7b2o$223bo2b2o70b2o18bobo5b2o$224b
2o2bo90b2o$227bo$224b3o$216bo6bo$217b2o4b2o13b2o$216b2o20bo$239b3o24b
2o28b2o$241bo11b2o11b2o28bo32b2o$254bo39bobo32bo$251b3o31bo8b2o34b3o$
251bo11bo20bobo2bo42bo$213b2o46b3o21bo3b3o$212bobo5b2o38bo31bo$212bo7b
2o37bobo25b4ob3o$211b2o46bobo25bo2bo4bo$260bo31b3o$225bo65b2o$221b2obo
bo$220bobobobo$217bo2bobobobob2o$217b4ob2o2bo2bo14b2o$221bo4b2o16b2o$
219bobo$219b2o$265bo$265b3o$268bo$267b2o$257b2o$257b2o$333b2o$247bob2o
82bobo$245b3ob2o84bo4b2o$244bo86b4ob2o2bo2bo$219b2o24b3ob2o80bo2bobobo
bob2o$218bobo26b2o2bo82bobobobo$212b2o4bo31bobo82b2obobo$210bo2bo2b2ob
4o23bob2obobo85bo$210b2obobobobo2bo23b2obo2bo16b2o$213bobobobo29bo19bo
55b2o$213bobob2o30b2o16bobo56bo7b2o$214bo32b2o2bobo13b2o57bobo5b2o17bo
$246bo2bo2b2o73b2o22b3o$227b2o18b2o101bo$218b2o7bo122b2o$218b2o5bobo$
225b2o$358b2ob2o$359bob2o$337b2o20bo$337bo13b2o4b3o$338b3o10b2o3bo3b2o
$340bo15b4o2bo$215b2o32b2o15b2o72bob2o15bob2o$216bo31bobo15b2o70b2obob
o12b3o2bo$213b3o32bo89bo2bo13bo5bo$213bo33b2o91b2o14b5o$358bo3$357b2o$
357bobo$359bo4b2o$254b2o99b4ob2o2bo2bo$255bo99bo2bobobobob2o$255bobo
100bobobobo$256b2o101b2obobo$363bo2$349b2o$205b2o143bo7b2o$204bobo143b
obo5b2o17bo$198b2o4bo146b2o22b3o$196bo2bo2b2ob4o165bo$196b2obobobobo2b
o165b2o$199bobobobo$199bobob2o108bo$200bo112b3o66b2o$257b2o15b2o40bo
66bo$213b2o42b2o15bobo38b2o44b2o20bob2o$204b2o7bo62bo84bo13b2o4b3o2bo$
204b2o5bobo62b2o84b3o10b2o3bo3b2o$211b2o94b2o55bo15b4o$307bo56bob2o15b
o4b2o$304b2obo54b2obobo12b3o5bobo$304bo2b3o4b2o46bo2bo13bo10bo4b2o$
305b2o3bo3b2o48b2o14b5ob4ob2o2bo2bo$307b4o73bobo2bobobobob2o$269b2o36b
o15b2o57bo6bobobobo$201b2o66bo38b3o12bobo56b2o6b2obobo$202bo64bobo41bo
13bo68bo$199b3o65b2o37b5o14b2o$199bo106bo73b2o$308bo23bo48bo7b2o$307b
2o21b3o48bobo5b2o$329bo52b2o$329b2o16bo$347b3o$350bo$349b2o3$341b2o49b
2o$249b2o15b2o51b2o20bo50bo$248bobo15b2o50bobo5b2o10b2obo51b3o$248bo
69bo7b2o10bo2b3o4b2o45bo$247b2o68b2o20b2o3bo3b2o$341b4o$314bo16bo9bo
15b2o$314b3o10b2obobo9b3o12bobo$304bo12bo8bobobobo12bo13bo$304b3o7b4o
5bo2bobobobob2o4b5o14b2o$307bo6bo8b4ob2o2bo2bo4bo$254b2o50b2o9b3o7bo4b
2o8bo23bo$255bo61bo2bo4bobo13b2o21b3o$255bobo61b2o4b2o36bo$256b2o40b2o
2bo27bo32b2o$298bo2bobo24b3o$299bob2o24bo$300bo26b2o$301b2o8b2o$178b2o
122bo8bobo$177bobo120bo11bo22b2o$171b2o4bo122b2o34bo16b2o$169bo2bo2b2o
b4o154bob2o12bobo5b2o$169b2obobobobo2bo4b2o140b2o4b3o2bo12bo7b2o$172bo
bobobo8bo123b2o15b2o3bo3b2o12b2o$172bobob2o7bo125bo21b4o$173bo11b5o67b
2o15b2o36b3o4b2o15bo28bo$189bo67b2o15bobo37bo3bobo12b3o16b2o7b2obobo$
183b4o89bo41bo13bo19b2o6bobobobo$177b2o4bo2bo89b2o39b2o14b5o19bo2bobob
obob2o24b2o11bo$177b2o158bo19b4ob2o2bo2bo24b2o10bobo$190b2o143bo25bo4b
2o38bobo2b2o3bo$185b2obo2bo143b2o22bobo43b2ob2o2bo2bobo7b2o21b2o$185b
2ob2o30b2o137b2o48bobo3bobo7b2o22bo$219bobo141b2o40b2obo2b4obo30bo5b2o
$213b2o4bo143bobo39b2obobo3bo32b2o5bo$211bo2bo2b2ob4o45b2o94bo4b2o37bo
bo3bo38bob2o$211b2obobobobo2bo45bo91b4ob2o2bo2bo36bobo3bo30b2o2b2obo2b
o$174b2o38bobobobo46bobo91bo2bobobobob2o37bo3b2o30b2o3bob2o$175bo38bob
ob2o47b2o95bobobobo81bo$172b3o40bo149b2obobo80b2o$172bo196bo$228b2o
172b2o53b2o$180b2o37b2o7bo126b2o45b2o54bo$179bobo37b2o5bobo127bo7b2o
21b2o69bob2o$173b2o4bo46b2o128bobo5b2o20bo2bo60b2o4b3o2bo$171bo2bo2b2o
b4o173b2o26bob2o61b2o3bo3b2o$171b2obobobobo2bo201bo48b2o19b4o$174bobob
obo19bo183b2o48b2o5b2o15bo$174bobob2o20b3o87bo149bobo12b3o$175bo27bo
86b3o89b4o12b2o40bo13bo$202b2o45b2o15b2o25bo87bo3bo13bo39b2o14b5o$188b
2o26b2o30bobo15b2o24b2o40bo46b2o16bobo11b2o44bo$179b2o7bo28bo30bo79b2o
3bobo31b2o31b2o10bobo42bo$161bo17b2o5bobo25b3o30b2o80bo3bo2bo30bo44bo
44b2o$161b3o22b2o26bo69b2o43bob2obobo31b3o40b2o$164bo119bo45bobobob2o
6b2o24bo$163b2o116b2obo34bo13b2obo2bo5bo$212b2o67bo2b3o4b2o26b3o16b2o
3bo$205b2o5bobo67b2o3bo3b2o29bo20b5o14b2o7b2o$155b2o48b2o7bo69b4o33b2o
25bo13bo7bobo5b2o$155bo58b2o38b2o28bo15b2o14b2o27b3o12bobo7bo7b2o$152b
2obo20b2o77bo29b3o12bobo2b2o10bo26bo15b2o7b2o$152bo2b3o4b2o13bo23bo53b
obo30bo13bo2bo11bobo24b4o$153b2o3bo3b2o10b3o23bobob2o50b2o25b5o14b3o2b
o10b2o16b2o4b2o3bo3b2o30bo$155b4o15bo25bobobobo76bo21b3o28b2o3bo2b3o4b
2o26b2obobo$155bo15b2obo22b2obobobobo2bo75bo18bo36b2obo33bobobobo$156b
3o12bobob2o20bo2bo2b2ob4o74b2o18b2o38bo30bo2bobobobob2o$159bo13bo2bo
22b2o4bo83b2o53b2o29b4ob2o2bo2bo123b2o$154b5o14b2o30bobo82bo45b2o41bo
4b2o125b2o$154bo51b2o82bob2o42b2o39bobo$156bo134bo2bo57b2o23b2o$155b2o
135b2o59bo166bo$307b2o41b3o24b2o140bobo$307b2o41bo26bo142bo$379bo$257b
2o15b2o60bo22b2o14b5o$189bo67b2o15bobo58bobo22bo13bo139b2o$187b3o86bo
39bo3b2o14bo23bobo12b3o136b2o$186bo89b2o37bobo3bo39b2o15bo$186b2o126bo
bo3bo54b4o142b2o$310b2obobo3bo50b2o3bo3b2o140bobo$141b2o136b2o29b2obo
2b4obo4b2o42b2o4b3o2bo141bo$140bobo51b2o83bobo32bobo3b2o3bobo50bob2o
126b2o13b2o$134b2o4bo54bo85bo4b2o22b2ob2obobo6bo52bo130bo$132bo2bo2b2o
b4o50bob2o78b4ob2o2bo2bo21bobo3bob3o2b2o51b2o127b3o6b2o$132b2obobobobo
2bo42b2o4b3o2bo70b2o6bo2bobobobob2o21bobo4bo2bo184bo8b2o$135bobobobo
45b2o3bo3b2o71bo10bobobobo25bo6b2o$135bobob2o51b4o71bobo11b2obobo64bo
17b2o$136bo41b2o15bo71b2o16bo13b2o48b3o17bo$177bobo12b3o10b2o92b2o47bo
21b3o$149b2o26bo13bo5bob2o3bobo64b2o75b2o22bo$140b2o7bo26b2o14b6obo4bo
67bo7b2o13b2o$140b2o5bobo49bo2b2ob4o63bobo5b2o13bobo$147b2o45b4obobobo
bo2bo64b2o22bo5b2o$94bo99bo2bobobobobo91b2o5bo$94b3o98bobobobob2o99bob
2o$97bo98bo3bo96b2o2b2obo2bo$96b2o199b2o3bob2o32b2o$120b2o91b2o87bo34b
obo5b2o$120b2o82b2o7bo87b2o34bo7b2o$88b2o47b2o65b2o5bobo35b2o15b2o15b
2o51b2o$63bo24bo49bo72b2o35bobo15b2o15bo23b2o119b2o$63b3o19b2obo23bo
22b3o46bo63bo35b3o21bo41bo77bo$66bo18bo2b3o4b2o14bobo21bo48b3o60b2o37b
o21bob2o34b2obobo74bobo$65b2o19b2o3bo3b2o15bo74bo112b2o4b3o2bo33bobobo
bo74b2o$88b4o66bo27b2o112b2o3bo3b2o31bo2bobobobob2o$88bo15b2o52b3o144b
4o33b4ob2o2bo2bo$57b2o30b3o12bobo10b2o42bo129b2o15bo37bo4b2o$57bo34bo
13bo10b2o41b2o16b2o21b2o87bobo12b3o36bobo$54b2obo29b5o14b2o70bo23bo51b
o35bo13bo39b2o$54bo2b3o4b2o21bo22b2o63b2obo20b3o52b3o32b2o14b5o$55b2o
3bo3b2o23bo19bobo63bo2b3o4b2o12bo57bo51bo111b2o4b2o$57b4o27b2o19bo66b
2o3bo3b2o69b2o49bo113b2o4b2o$57bo15b2o33b2o13b2o53b4o125b2o$58b3o12bob
o47bo54bo15b2o$61bo13bo40b2o6b3o43b2o7b3o12bobo$56b5o14b2o39b2o8bo36b
2o5bobo9bo13bo225b2o$56bo27bo37bo40b2o7bo4b5o14b2o99b2o11bo102b2obo5b
2o2b2o$58bo23b3o35b3o49b2o3bo119b2o10bobo101b2ob3o7bobo$57b2o22bo37bo
59bo129bobo2b2o3bo99bo8bo$81b2o36b2o38bo18b2o128b2ob2o2bo2bobo7b2o83b
2ob3o9b2o$158bobob2o4b2o142bobo3bobo7b2o84bobo$158bobobobo2bo2bo137b2o
bo2b4obo94bobo$89b2o36b2o26b2obobobobo3b2o106b2o30b2obobo3bo97bo$90bo
37bo26bo2bo2b2ob4o108b2o34bobo3bo$90bob2o34bob2o25b2o4bo3bo145bobo3bo$
82b2o4b3o2bo26b2o4b3o2bo31bo2bo147bo3b2o$82b2o3bo3b2o27b2o3bo3b2o30bob
obo248b2o$87b4o34b4o30b3ob2o249bobo$73b2o15bo20b2o15bo29bo230b2o25bo$
72bobo12b3o20bobo12b3o30b2o145b2o83bo25b2o$72bo13bo23bo13bo180b2o83bob
o15b2o$71b2o14b5o17b2o14b5o131b2o27b2o99b2o15b2o$9bo81bo37bo36b2o93b2o
26bo2bo$9b3o50bo26bo37bo39bo120bob2o$12bo49b3o24b2o36b2o38bob2o117bo
48b2o$11b2o52bo93b2o4b3o2bo116b2o48b2o$64b2o93b2o3bo3b2o$164b4o133b2o$
3b2o90bo54b2o15bo134bo$3bo52b2o37b3o51bobo12b3o28b2o105bobo11b2o$2obo
52bo41bo43bo6bo13bo31bobo105b2o10bobo$o2b3o4b2o41b2obo40b2o43b3o3b2o
14b5o28bo4b2o111bo73b2o$b2o3bo3b2o41bo2b3o4b2o80bo22bo24b4ob2o2bo2bo
46bo61b2o72bo2bo2b2o$3b4o47b2o3bo3b2o79b2o20bo26bo2bobobobob2o46b3o
134b2o2bobo13b2o$3bo15b2o35b4o29b2o75b2o28bobobobo52bo135b2o16bobo$4b
3o12bobo34bo15b2o15bo107b2obobo51b2o135bo19bo$7bo13bo35b3o12bobo11b2ob
o46b2o63bo186b2obo2bo16b2o$2b5o14b2o37bo13bo11bo2b3o4b2o38bo251bob2obo
bo$2bo52b5o14b2o11b2o3bo3b2o35b2obo50b2o203bobo$4bo50bo27bo5b4o40bo2b
3o4b2o43bo7b2o191b2o2bo$3b2o52bo23b3o5bo15b2o3b2o22b2o3bo3b2o43bobo5b
2o189b3ob2o$56b2o22bo9b3o12bobobobo24b4o49b2o25bo169bo$80b2o11bo13bobo
26bo15b2o60b3o47b2o121b3ob2o$88b5o14bo2bo26b3o12bobo58bo43b2o5bobo122b
ob2o$87bo20bobo29bo13bo6bo51b2o27bo14b2o7bo$88b2ob2o16bo25b5o14b2o3b3o
78b3o23b2o131b2o$89bobobo41bo22bo80bo159b2o7b2o$89bobobo43bo20b2o61b2o
16b2o8bo3bo154bo2bo$81b2o4b3o2bo43b2o61b2o21bo25bobobobob2o148bobob2o$
81b2o3bo3b2o107bo22bob2o21bo2bobobobobo147b2obo$86b4o34b2o40b2o32b3o
11b2o4b3o2bo21b2obobobobobo2bo147bo$72b2o15bo34b2o41bo34bo11b2o3bo3b2o
23bobobo2b2ob4o147b3o$71bobo12b3o78bob2o48b4o25bobobo4bo154bo$71bo13bo
73b2o4b3o2bo34b2o15bo17b2o4b3o2bo5bobo126b2o23b2o$63bo6b2o14b5o13bo54b
2o3bo3b2o34bobo12b3o4b2o12b2o3bo3b2o7b2o126b2o$63b3o24bo11b3o59b4o29bo
6bo13bo5bo2bo17b4o$66bo21bo12bo48b2o15bo29b3o3b2o14b7o5b2o15bo$65b2o
21b2o11b2o46bobo12b3o33bo29bobo12b3o$111b2o36bo13bo35b2o18b2o2bo6bo13b
o$111b2o35b2o14b5o50b2o2b3o3b2o14b5o152bo$57b2o109bo57bo22bo151bobo17b
2o$57bo61b2obo43bo24b2o32b2o20bo153bobo10b2o5bobo$54b2obo61b2ob3o41b2o
23bo55b2o153bo11b2o7bo$54bo2b3o4b2o59bo62b2obo211b3o17b2o$55b2o3bo3b2o
53b2ob3o63bo2b3o4b2o17b2o186bo$57b4o57bo2b2o66b2o3bo3b2o17bo192bo$57bo
15b2o42bobo71b4o19b2obo191bobob2o$58b3o12bobo40bobob2obo9bo57bo15b2o5b
o2b3o4b2o183bobobobo$61bo13bo12bo28bo2bob2o9b3o56b3o12bobo5b2o3bo3b2o
180b2obobobobo2bo$56b5o14b2o10bobo30bo15bo58bo13bo7b4o185bo2bo2b2ob4o$
56bo30bobo29b2o14b2o53b5o14b2o6bo15b2o173b2o4bo$58bo26b3ob2o25bobo2b2o
67bo27b3o12bobo2b2o174bobo$57b2o25bo31b2o2bo2bo68bo28bo13bo2bo176b2o$
85b3ob2o30b2o4b2o62b2o23b5o14b3o2bo$87bob2o36bo88bo21b3o$124b2obo90bo
18bo$124bo2b3o4b2o81b2o18b2o$125b2o3bo3b2o$127b4o$127bo15b2o$128b3o12b
obo2b2o$114b2o15bo13bo2bo$114b2o10b5o14b3o2bo$126bo21b3o76b2o$128bo18b
o78bobo5b2o$115b2o10b2o18b2o77bo7b2o$115bo109b2o$95b2o19b3o41b2o$95bo
2bob2o16bo41bobo76bo$96b3obobo59bo4b2o66b2obobo$100bobo2bo52b4ob2o2bo
2bo63bobobobo$98b3ob4o52bo2bobobobob2o60bo2bobobobob2o$97bo3bo35b2o22b
obobobo63b4ob2o2bo2bo$98bo2bob3o30bobo5b2o16b2obobo67bo4b2o$99bobobo2b
o29bo7b2o20bo66bobo$100bo3b2o29b2o96b2o$152b2o$149bo3bo7b2o$145b2obobo
2bobo5b2o$144bobobobo3b2o$141bo2bobobob2o52bo$141b4ob2o2bo53b3o$145bo
4bobo54bo7b2o$143bobo5b2o41b2o10b2o7b2o$143b2o50bo$183b2o10bobo$164b2o
16bobo11b2o$164bo3bo13bo$165b4o12b2o2$145bo21b2o$143b3o22bo$142bo25bob
2o$142b2o25bo2bo$170b2o$185b2o$185b2o23b2o$210bo13bobobobo$211b3o9bob
2ob2obo$213bo9bo3bo3bo$132b2o60bo3b2o22b2o3bob2o$131bobo5b2o52bobo3bo
28bo$131bo7b2o51bobo3bo27bobo$130b2o56b2obobo3bo28b2o$188b2obo2b4obo$
144bo47bobo3bobo$140b2obobo29b2o11b2ob2o2bo2bobo$139bobobobo30bo12bobo
2b2o3bo$136bo2bobobobob2o24b3o13bobo$136b4ob2o2bo2bo24bo16bo$140bo4b2o
$138bobo12b2o$138b2o14bo14b2o11b2o$144bo9bobo12b2o11bobo$142b3o10b2o
27bo4b2o$141bo25b4o9b4ob2o2bo2bo83bo$141b2o23bo3bo9bo2bobobobob2o65b2o
14b5o$126b2o39bo15bobobobo69bo13bo5bo$127bo37bobo16b2obobo69bobo12b3o
2bo$127bob2o34b2o21bo71b2o15bob2o$128bo2bo37b2ob2ob2o97b4o2bo$129b2o
39bob2obo93b2o3bo3b2o$144b2o24bo4bo7b2o84b2o4b3o$144b2o23b2o4bobo5b2o
92bo$176b2o99bob2o$276b2ob2o2$153bo3b2o$152bobo3bo109b2o$151bobo3bo
110bo$147b2obobo3bo112b3o$147b2obo2b4obo27b2o83bo$151bobo3bobo26bo21bo
$147b2ob2o2bo2bobo27b3o16b3o$148bobo2b2o3bo25b3o2bo15bo$148bobo33bo2bo
17b2o$139b2o8bo32bobo2b2o$139bo42b2o$140b3o$142bo24b2o$167b2o2$195b2o$
184b2o8bobo5b2o$177b2o5b2o8bo7b2o$177b2o14b2o2$172bo34bo$171bobo29b2ob
obo$172bo6b2o21bobobobo$179bo19bo2bobobob2o$180b3o16b4ob2o2bo$182bo20b
o4bo$199b2o2bob3o$199b2o3b2o39$201b2o$201bo$199bobo$199b2o2$184b2o$
184b2o2$193b2o$193b2o6b2o$201b2o3$189bo$188bobo$189bo6b2o$196bo$197b3o
$199bo!
Why are you posting a glider - to loafer?
Not inactive any more! :D

User avatar
pcallahan
Posts: 854
Joined: April 26th, 2013, 1:04 pm

Re: Glider-Powered Spaceships

Post by pcallahan » July 13th, 2020, 8:14 pm

This was not the question, but I had a different idea of what a "glider-powered spaceship" would be. In CGOL, you don't really need a power source, but in the physical universe, where you do, one proposal for a starship is a laser-driven solar sail. This was used by Robert L. Forward in his science fiction novel Flight of the Dragonfly (which is apparently now retitled https://en.wikipedia.org/wiki/Rocheworld). The idea is that rather than carry all that heavy fuel and propellant with you, you power the starship by focusing a distant laser from a stationary base.

Anyway, suppose you had a spaceship that required glider input to keep moving (this is also rather different from physics, because our spaceships are all constant-velocity and should continue along by inertia). But just to make it hard on yourself... A block pusher has the same properties, but requires multiple gliders to move it along. What is the simplest stationary (ideally stable) pattern that advances forward along a diagonal when it is hit with a single glider? The concept ought to be pretty trivial with a universal constructor, but is there a more manageable pattern?

It doesn't need to be that fast, but the gliders should come in on the same diagonal. Again, ideally it should be stable so the phase does not matter. If there was a way to make it move backwards by the same amount when hit by a glider on a different diagonal, you'd have a counter like a blockpusher. The difference is that it would contain its own synthesis recipe rather than having that at the gun end.

The fact that I'm asking shows I have not really kept up with recent developments. I'm sure the pattern is realizable with existing technology, but I can't guess if it is just a massive constructor-based pattern or something smaller based on cleverly spaced turners and some mechanism for getting a lot of spare gliders like a gun synthesis.

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Re: Glider-Powered Spaceships

Post by dvgrn » July 14th, 2020, 6:06 pm

pcallahan wrote:
July 13th, 2020, 8:14 pm
I'm sure the pattern is realizable with existing technology, but I can't guess if it is just a massive constructor-based pattern or something smaller based on cleverly spaced turners and some mechanism for getting a lot of spare gliders like a gun synthesis.
There's no known pattern that can be pushed with one glider, except for various universal-constructor implementations -- none of which have actually been built. You'd have to generalize somehow. Maybe the pushing could be done with N gliders instead of just one?

I don't think there are known patterns that can be pushed by two (appropriately spaced) gliders, but it's possible that a constellation could be found with a search. There are patterns (like a block) that can be pushed by three synchronized gliders, so that's the current upper bound -- and maybe that means that my attempt at generalizing isn't really a very interesting one.

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Re: Glider-Powered Spaceships

Post by Hunting » July 18th, 2020, 10:31 pm

dvgrn wrote:
July 14th, 2020, 6:06 pm
pcallahan wrote:
July 13th, 2020, 8:14 pm
I'm sure the pattern is realizable with existing technology, but I can't guess if it is just a massive constructor-based pattern or something smaller based on cleverly spaced turners and some mechanism for getting a lot of spare gliders like a gun synthesis.
There's no known pattern that can be pushed with one glider, except for various universal-constructor implementations -- none of which have actually been built. You'd have to generalize somehow. Maybe the pushing could be done with N gliders instead of just one?

I don't think there are known patterns that can be pushed by two (appropriately spaced) gliders, but it's possible that a constellation could be found with a search. There are patterns (like a block) that can be pushed by three synchronized gliders, so that's the current upper bound -- and maybe that means that my attempt at generalizing isn't really a very interesting one.
It sounds like something that would have been found with sngdetect if it existed.

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Re: Glider-Powered Spaceships

Post by NoAyeBeardo » July 19th, 2020, 12:45 pm

What a 'Glider-Powered Spaceship' sounds like to me is a salvo of gliders hits a some objects, then creates the salvo and the objects.

Has anyone made a rake seed yet?
Not inactive any more! :D

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Re: Glider-Powered Spaceships

Post by dvgrn » July 20th, 2020, 11:03 am

NoAyeBeardo wrote:
July 19th, 2020, 12:45 pm
What a 'Glider-Powered Spaceship' sounds like to me is a salvo of gliders hits a some objects, then creates the salvo and the objects.
Right. Currently the only known examples are the HBK and Parallel HBK, but others could be put together with a little research, e.g., vaguely along the lines of the Caterloopillars -- a universal helix moving a constellation of still lifes, and also slow-salvo-building something that creates the next set of universal-helix signals. This works better as a "*WSS-Powered Spaceship", I suppose; I'm not at all clear how to build a diagonal universal helix where the glider salvo would get through undamaged but the still lifes would recover and move.
NoAyeBeardo wrote:
July 19th, 2020, 12:45 pm
Has anyone made a rake seed yet?
Here's the next easy step in that direction -- a couple of constellations that turn into rakes when hit with six gliders each:

Code: Select all

x = 264, y = 209, rule = B3/S23
211bo$212b2o$211b2o4$192bobo$193b2o$193bo12$170bo$171bo$169b3o22$162bo
bo$163b2o$163bo19$147bobo$148b2o$148bo3$222bo37bo$221bobo35bobo$221bob
o35bobo$222bo37bo2$220bo3b2o32bo3b2o$219bobo2b2o31bobo2b2o$219b2o36b2o
$200bo$199bobo$199bobo$200bo$114bobo$115b2o81bo3b2o$115bo54bo26bobo2b
2o$169bobo25b2o$122bo46bobo$121bobo46bo$121bobo$122bo45bo3b2o$167bobo
2b2o$120bo3b2o41b2o$119bobo2b2o$119b2o22$96bo$97b2o$96b2o4$77bobo$78b
2o$78bo12$55bo$56bo$54b3o22$47bobo$48b2o$48bo19$32bobo$33b2o$33bo3$
107bo37bo$106bobo35bobo$106bobo35bobo$107bo37bo2$105bo3b2o32bo3b2o$
104bobo2b2o31bobo2b2o$104b2o36b2o$85bo$84bobo$84bobo$85bo$o$b2o80bo3b
2o$2o53bo26bobo2b2o$54bobo25b2o$7bo46bobo$6bobo46bo$6bobo$7bo45bo3b2o$
52bobo2b2o$5bo3b2o41b2o$4bobo2b2o$4b2o!
Now it's just a matter of stringing together a G->2G splitter and a couple of G->3G splitters to get six gliders from one, and then add the right turners/lane shifters/timing changers from the new 8x8 OTT collection to put the six gliders in the right places relative to each other. Someone should give it a try -- it's really not as hard as it looks.

A good first step would be to experiment with moving the 3-object subconstellations closer to each other, and changing the positions of the trigger gliders so that you still get a rake out. These 6G seeds are very adjustable.

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Re: Glider-Powered Spaceships

Post by dvgrn » July 22nd, 2020, 4:42 pm

dvgrn wrote:
July 20th, 2020, 11:03 am
Now it's just a matter of stringing together a G->2G splitter and a couple of G->3G splitters... Someone should give it a try -- it's really not as hard as it looks.
I guess maybe I didn't actually post the final results of the search for turners and splitters in plain-vanilla Life. I only posted the Blockic turners for LeapLife, which used pretty much the same search code.

The full sorted collection of 90-degree turners can be found here now.

0-degree and 180-degree turners are also available in the ZIP file, and so are G->2G and G->3G splitters, but those all could use a bit more classification work.

Still, a rake seed could very easily be completed using those pieces. It's not high on my priority list at the moment, so I hope someone else will be interested in getting some practice in this highly specialized sub-field.

(To date, except for glider salvos in the HBKs ... and maybe some of the technology in the caterloopillars? ... just about every known seed constellation has been built either by me or by Goldtiger997 -- the link is to Goldtiger997's 100-glider 58P5H1V1 seed that blows all of my previous synchronization efforts totally out of the water).

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Re: Glider-Powered Spaceships

Post by dvgrn » July 26th, 2020, 8:19 pm

dvgrn wrote:
July 22nd, 2020, 4:42 pm
Still, a rake seed could very easily be completed using those pieces. It's not high on my priority list at the moment, so I hope someone else will be interested in getting some practice in this highly specialized sub-field.
No takers? Well, I guess this is what weekends are for:

Code: Select all

#C sample seed for a space-backrake
x = 116, y = 96, rule = LifeHistory
26.2A$26.2A5$22.2A27.2A$22.2A27.2A2$48.2A4.A$48.A.A2.A.A$49.A3.2A3$
91.2A4.A$91.A.A2.A.A$92.A4.2A2$28.2A$28.2A61.2A$22.2A55.2A4.A5.2A$22.
2A32.A22.A.A2.A.A$28.2A25.A.A22.A4.2A$27.A.A13.2A10.2A4.A$27.2A14.2A
15.A.A$60.2A17.2A$57.A21.2A$48.2A6.A.A9.A$48.2A7.2A8.A.A$67.2A4.A$72.
A.A$72.2A$69.A$68.A.A37.2A$44.2A23.2A37.2A2.2A$43.A.A66.2A$43.2A$47.
2A60.A$46.A.A59.A.A3.A$47.A61.A3.A.A$41.2A71.2A$41.2A29.2A$71.A.A10.
2A13.A$71.A11.A.A12.A.A$70.2A12.A13.2A4$81.2A$81.A.A7.2A$82.A8.A.A2.
2A$87.2A3.2A2.2A$87.A$85.A.A$85.2A8.2A$95.2A$3A$2.A49.2A$.A51.A$53.A.
A$54.2A2$87.A9.A$86.A.A7.A.A$17.A68.A.A7.A.A$17.3A67.A9.A$20.A$19.2A
64.A3.2A4.A3.2A$84.A.A2.2A3.A.A2.2A$31.A24.2A26.2A8.2A$30.A.A23.2A23.
A$31.2A47.A.A$53.A26.A.A$52.A.A26.A$53.2A$79.A3.2A$73.A4.A.A2.2A$72.A
.A3.2A$42.2A17.A10.A.A$41.A.A16.A.A10.A$41.A18.A.A$40.2A19.A9.A3.2A$
70.A.A2.2A$59.A3.2A5.2A$58.A.A2.2A$58.2A7$41.2A$40.A.A$40.A$39.2A!
This should make it a whole lot easier for someone to put together a seed for a regular forward-firing space rake. The only things that will need to be changed are the two sub-constellations in yellow in this version of the seed:

Code: Select all

x = 126, y = 97, rule = LifeHistory
57.B$26.2A15.2B10.4B$24.2B2A2B12.3B9.6B$24.6B11.5B4.B2.7B$24.5B12.5B
3.3B.7B$24.5B11.7B2.11B$22.8B9.21B$22.2AB.5B7.13B2A9B40.2A2B$22.2AB2.
5B7.12B2A10B39.BA3B$28.5B6.24B39.BABAB$29.5B6.8B2A4BA8B39.2B2AB$30.5B
5.8BABA2BABA7B40.6B$31.5B3.10BA3B2A6B43.5B$32.5B2.22B44.4B$33.5B2.21B
43.6B$34.5B.16B2.4B41.8B$35.22B2.4B39.4B2.4B$36.22B2.4B37.4B4.4B$22.
3B12.22B2.4B20.2A2B11.4B6.4B$22.6B2A4B4.22B2.4B19.BA3B9.4B8.4B$21.7B
2A5B2.14B.8B3.4B18.BABAB8.4B10.4B$20.2B2A11B.9B.6B.6B5.4B17.2B2AB7.4B
12.4B5.3BA$20.2B2A15B2.15BA2B6.4B17.6B4.4B14.4B3.2B3A$21.7B2A8B4.13BA
BA3B5.4B17.5B3.4B16.4B.2BA3B$25.2BABA7B6.2A10B2A4BA5.4B17.4B2.4B18.6B
2A2B$27.2A9B5.2A15BABA5.4B15.10B20.8B$27.12B5.16B2A2B4.4B14.10B21.5B$
30.10B6.9B2.A7B.5B14.4B2.4B21.6B$29.12B6.B2A3B3.ABAB2.6BA2B13.4B2.6B
19.4B$28.4B2.8B6.2A2B3.2B2AB2.5BABA3B10.4B2.8B17.4B$27.4B4.8B6.4B.5B
2.6B2A4BA8.4B2.4B2.4B15.4B$26.4B6.8B.2B3.7B3.12BABA6.4B2.4B4.4B3.4B6.
4B$25.4B8.11B3.5B3.4B2.7B2A2B4.4B2.4B6.4B.6B4.4B$24.4B10.10B3.5B2.4B
3.4BA7B2.4B2.4B8.10B3.4B$23.4B12.22B7.ABAB2.8B2.4B10.9B2.4B$22.4B14.
4B2A7B.6B7.2B2A2B2.6B2.4B11.9B.4B$21.4B16.2BABA6B3.4B7.8B2.4B2.4B11.
14B$20.4B17.2B2A6B3.6B5.4B2.14B11.4B.4BA4B$19.4B17.7B2A4.8B3.4B4.12B
11.4B3.2BABA2B$18.4B19.5BABA3.4B2.4B.4B6.4B2.4B11.4B5.B2A2B$17.4B21.B
.3BAB2.4B4.7B6.5B.6B9.4B6.4B$16.4B21.2AB2.8B6.5B6.14B7.4B6.5B$15.4B
22.2A4.6B7.5B5.2B2AB2.10B4.4B6.4B$14.4B30.4B7.7B4.BABAB2.7B2A2B2.4B6.
4B$13.4B30.6B5.4B.4B3.BA3B2.6BABA2B.4B6.4B$12.4B30.8B3.4B3.4B2.2A2B4.
6BA7B4.6B$11.4B30.4B2.4B.4B5.4B14.3B.4B4.6B$10.4B30.4B4.7B7.4B12.3B.
4B.9B$9.4B30.4B6.5B9.4B10.8B.10B$8.4B30.4B7.5B10.4B9.2A5B.10B$7.4B30.
4B7.7B10.4B7.BABA7B2A7B$6.4B30.4B7.4B.4B10.4B5.3BA6B.BABA2B2A2B$5.4B
30.4B7.4B3.4B10.4B4.8B2A.2B2A2B2AB$4.4B30.4B7.4B5.4B10.4B4.7BA3.3B.3B
$3.4B30.4B7.4B7.4B10.4B3.5BABA6.3B$2.4B30.4B7.4B9.4B10.4B3.2B.B2AB6.B
2AB$.4B30.4B7.4B11.4B10.4B6.4B6.2A2B$3AB30.4B7.4B13.4B10.4B6.4B6.4B$
2BA30.4B7.4B4.2A2B7.4B10.4B6.4B6.4B$.A30.4B7.4B5.BA3B7.4B10.4B6.4B6.
4B$31.4B7.4B6.BABAB8.4B10.4B6.4B6.4B$30.4B7.4B7.2B2AB9.4B10.4B6.4B6.
4B$29.4B7.4B9.6B8.4B10.5B5.5B5.4B$28.4B7.4B11.5B9.4B10.4B.A4.4B.A4.4B
$27.8B3.4B13.4B10.4B10.B.BA.A4.B.BA.A4.4B$17.A3B5.10B.4B13.6B10.4B9.
3BABA4.3BABA5.4B$17.3A2B3.4B.10B13.8B10.4B7.5BAB3.5BAB6.4B$17.3BA2B.
4B2.9B13.4B2.4B10.4B6.8B2.8B6.4B$17.2B2A6B3.9B12.4B4.4B10.4B5.3BA3B2A
.3BA3B2A6.4B$18.8B4.10B10.4B6.4B10.4B5.BABA2B2A3BABA2B2A11B$21.5B3.2B
A4B.4B8.4B3.2E3.4B10.5B2.2B2A8B2A16B$21.6B2.BABA2B3.4B6.4B4.2E4.4B10.
4B.A30B$24.4B.2B2AB5.4B4.4B3.4B5.4B10.B.BA.A29B$25.4B.4B6.4B2.4B3.E2B
8.4B9.3BABA29B$26.7B8.8B3.EBEB9.4B7.5BAB$27.4B11.6B5.2EB10.4B6.8B$28.
4B11.4B6.5B9.5B4.3BA3B2A$29.4B9.5B6.5B10.4B.A3.BABA2B2A27B$30.4B7.6B
7.6B9.B.BA.A.2B2A32B$31.4B5.2B2AB8.7B.E7.3BABA.36B$32.4B4.BABAB7.4B.B
.BE.E5.5BAB2.35B$33.4B3.BA3B6.4B2.3BEBE5.8B.35B$34.4B2.2A2B6.4B2.5BEB
5.3BA3B2A$35.4B10.4B3.8B5.BABA2B2A35B$36.4B8.4B4.3BE3B2E3.2B2A40B$37.
4B6.4B6.BEBE2B2E47B$38.4B4.4B6.2B2E52B$39.4B2.4B7.56B$40.8B9.55B$41.
6B10.55B$42.4B$41.5B$40.6B$39.2B2AB$39.BABAB$39.BA3B$39.2A2B!
#C [[ STEP 5 ]]
Also: notice the difference between this seed and the first version. In the northeast, plain fishhook eaters replace the three- and four-object constellations.

A fishhook eater shows up in the 90degCC6col22 equivalence class -- so you can replace it with any other OTT in any 90degCC6 category, provided it fits in the space and you adjust a trombone slide somewhere to account for the mod-8 difference in timing.

The three-glider constellation was taken from the 90degCC6col34 equivalence class, and the four-glider constellation is from 90degCC6col32. No doubt there are other substitutions that would reduce the bounding box a little more.

Equivalent substitutions could probably cut down the space taken up in the SW... though really there's probably a better design out there, maybe using six 180-degree turners in the NW instead of all those unnecessary 90-degree turners in the NE and SW. The initial splitter was also a very poor choice, because the two 180-degree signal paths have to cross the input lane, so those trombone slides can't be adjusted down to a reasonable minimum.

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Re: Glider-Powered Spaceships

Post by NoAyeBeardo » July 27th, 2020, 7:36 am

dvgrn wrote:
July 26th, 2020, 8:19 pm
dvgrn wrote:
July 22nd, 2020, 4:42 pm
Still, a rake seed could very easily be completed using those pieces. It's not high on my priority list at the moment, so I hope someone else will be interested in getting some practice in this highly specialized sub-field.
No takers? Well, I guess this is what weekends are for:

Code: Select all

#C sample seed for a space-backrake
x = 116, y = 96, rule = LifeHistory
26.2A$26.2A5$22.2A27.2A$22.2A27.2A2$48.2A4.A$48.A.A2.A.A$49.A3.2A3$
91.2A4.A$91.A.A2.A.A$92.A4.2A2$28.2A$28.2A61.2A$22.2A55.2A4.A5.2A$22.
2A32.A22.A.A2.A.A$28.2A25.A.A22.A4.2A$27.A.A13.2A10.2A4.A$27.2A14.2A
15.A.A$60.2A17.2A$57.A21.2A$48.2A6.A.A9.A$48.2A7.2A8.A.A$67.2A4.A$72.
A.A$72.2A$69.A$68.A.A37.2A$44.2A23.2A37.2A2.2A$43.A.A66.2A$43.2A$47.
2A60.A$46.A.A59.A.A3.A$47.A61.A3.A.A$41.2A71.2A$41.2A29.2A$71.A.A10.
2A13.A$71.A11.A.A12.A.A$70.2A12.A13.2A4$81.2A$81.A.A7.2A$82.A8.A.A2.
2A$87.2A3.2A2.2A$87.A$85.A.A$85.2A8.2A$95.2A$3A$2.A49.2A$.A51.A$53.A.
A$54.2A2$87.A9.A$86.A.A7.A.A$17.A68.A.A7.A.A$17.3A67.A9.A$20.A$19.2A
64.A3.2A4.A3.2A$84.A.A2.2A3.A.A2.2A$31.A24.2A26.2A8.2A$30.A.A23.2A23.
A$31.2A47.A.A$53.A26.A.A$52.A.A26.A$53.2A$79.A3.2A$73.A4.A.A2.2A$72.A
.A3.2A$42.2A17.A10.A.A$41.A.A16.A.A10.A$41.A18.A.A$40.2A19.A9.A3.2A$
70.A.A2.2A$59.A3.2A5.2A$58.A.A2.2A$58.2A7$41.2A$40.A.A$40.A$39.2A!
This should make it a whole lot easier for someone to put together a seed for a regular forward-firing space rake. The only things that will need to be changed are the two sub-constellations in yellow in this version of the seed:

Code: Select all

x = 126, y = 97, rule = LifeHistory
57.B$26.2A15.2B10.4B$24.2B2A2B12.3B9.6B$24.6B11.5B4.B2.7B$24.5B12.5B
3.3B.7B$24.5B11.7B2.11B$22.8B9.21B$22.2AB.5B7.13B2A9B40.2A2B$22.2AB2.
5B7.12B2A10B39.BA3B$28.5B6.24B39.BABAB$29.5B6.8B2A4BA8B39.2B2AB$30.5B
5.8BABA2BABA7B40.6B$31.5B3.10BA3B2A6B43.5B$32.5B2.22B44.4B$33.5B2.21B
43.6B$34.5B.16B2.4B41.8B$35.22B2.4B39.4B2.4B$36.22B2.4B37.4B4.4B$22.
3B12.22B2.4B20.2A2B11.4B6.4B$22.6B2A4B4.22B2.4B19.BA3B9.4B8.4B$21.7B
2A5B2.14B.8B3.4B18.BABAB8.4B10.4B$20.2B2A11B.9B.6B.6B5.4B17.2B2AB7.4B
12.4B5.3BA$20.2B2A15B2.15BA2B6.4B17.6B4.4B14.4B3.2B3A$21.7B2A8B4.13BA
BA3B5.4B17.5B3.4B16.4B.2BA3B$25.2BABA7B6.2A10B2A4BA5.4B17.4B2.4B18.6B
2A2B$27.2A9B5.2A15BABA5.4B15.10B20.8B$27.12B5.16B2A2B4.4B14.10B21.5B$
30.10B6.9B2.A7B.5B14.4B2.4B21.6B$29.12B6.B2A3B3.ABAB2.6BA2B13.4B2.6B
19.4B$28.4B2.8B6.2A2B3.2B2AB2.5BABA3B10.4B2.8B17.4B$27.4B4.8B6.4B.5B
2.6B2A4BA8.4B2.4B2.4B15.4B$26.4B6.8B.2B3.7B3.12BABA6.4B2.4B4.4B3.4B6.
4B$25.4B8.11B3.5B3.4B2.7B2A2B4.4B2.4B6.4B.6B4.4B$24.4B10.10B3.5B2.4B
3.4BA7B2.4B2.4B8.10B3.4B$23.4B12.22B7.ABAB2.8B2.4B10.9B2.4B$22.4B14.
4B2A7B.6B7.2B2A2B2.6B2.4B11.9B.4B$21.4B16.2BABA6B3.4B7.8B2.4B2.4B11.
14B$20.4B17.2B2A6B3.6B5.4B2.14B11.4B.4BA4B$19.4B17.7B2A4.8B3.4B4.12B
11.4B3.2BABA2B$18.4B19.5BABA3.4B2.4B.4B6.4B2.4B11.4B5.B2A2B$17.4B21.B
.3BAB2.4B4.7B6.5B.6B9.4B6.4B$16.4B21.2AB2.8B6.5B6.14B7.4B6.5B$15.4B
22.2A4.6B7.5B5.2B2AB2.10B4.4B6.4B$14.4B30.4B7.7B4.BABAB2.7B2A2B2.4B6.
4B$13.4B30.6B5.4B.4B3.BA3B2.6BABA2B.4B6.4B$12.4B30.8B3.4B3.4B2.2A2B4.
6BA7B4.6B$11.4B30.4B2.4B.4B5.4B14.3B.4B4.6B$10.4B30.4B4.7B7.4B12.3B.
4B.9B$9.4B30.4B6.5B9.4B10.8B.10B$8.4B30.4B7.5B10.4B9.2A5B.10B$7.4B30.
4B7.7B10.4B7.BABA7B2A7B$6.4B30.4B7.4B.4B10.4B5.3BA6B.BABA2B2A2B$5.4B
30.4B7.4B3.4B10.4B4.8B2A.2B2A2B2AB$4.4B30.4B7.4B5.4B10.4B4.7BA3.3B.3B
$3.4B30.4B7.4B7.4B10.4B3.5BABA6.3B$2.4B30.4B7.4B9.4B10.4B3.2B.B2AB6.B
2AB$.4B30.4B7.4B11.4B10.4B6.4B6.2A2B$3AB30.4B7.4B13.4B10.4B6.4B6.4B$
2BA30.4B7.4B4.2A2B7.4B10.4B6.4B6.4B$.A30.4B7.4B5.BA3B7.4B10.4B6.4B6.
4B$31.4B7.4B6.BABAB8.4B10.4B6.4B6.4B$30.4B7.4B7.2B2AB9.4B10.4B6.4B6.
4B$29.4B7.4B9.6B8.4B10.5B5.5B5.4B$28.4B7.4B11.5B9.4B10.4B.A4.4B.A4.4B
$27.8B3.4B13.4B10.4B10.B.BA.A4.B.BA.A4.4B$17.A3B5.10B.4B13.6B10.4B9.
3BABA4.3BABA5.4B$17.3A2B3.4B.10B13.8B10.4B7.5BAB3.5BAB6.4B$17.3BA2B.
4B2.9B13.4B2.4B10.4B6.8B2.8B6.4B$17.2B2A6B3.9B12.4B4.4B10.4B5.3BA3B2A
.3BA3B2A6.4B$18.8B4.10B10.4B6.4B10.4B5.BABA2B2A3BABA2B2A11B$21.5B3.2B
A4B.4B8.4B3.2E3.4B10.5B2.2B2A8B2A16B$21.6B2.BABA2B3.4B6.4B4.2E4.4B10.
4B.A30B$24.4B.2B2AB5.4B4.4B3.4B5.4B10.B.BA.A29B$25.4B.4B6.4B2.4B3.E2B
8.4B9.3BABA29B$26.7B8.8B3.EBEB9.4B7.5BAB$27.4B11.6B5.2EB10.4B6.8B$28.
4B11.4B6.5B9.5B4.3BA3B2A$29.4B9.5B6.5B10.4B.A3.BABA2B2A27B$30.4B7.6B
7.6B9.B.BA.A.2B2A32B$31.4B5.2B2AB8.7B.E7.3BABA.36B$32.4B4.BABAB7.4B.B
.BE.E5.5BAB2.35B$33.4B3.BA3B6.4B2.3BEBE5.8B.35B$34.4B2.2A2B6.4B2.5BEB
5.3BA3B2A$35.4B10.4B3.8B5.BABA2B2A35B$36.4B8.4B4.3BE3B2E3.2B2A40B$37.
4B6.4B6.BEBE2B2E47B$38.4B4.4B6.2B2E52B$39.4B2.4B7.56B$40.8B9.55B$41.
6B10.55B$42.4B$41.5B$40.6B$39.2B2AB$39.BABAB$39.BA3B$39.2A2B!
#C [[ STEP 5 ]]
Also: notice the difference between this seed and the first version. In the northeast, plain fishhook eaters replace the three- and four-object constellations.

A fishhook eater shows up in the 90degCC6col22 equivalence class -- so you can replace it with any other OTT in any 90degCC6 category, provided it fits in the space and you adjust a trombone slide somewhere to account for the mod-8 difference in timing.

The three-glider constellation was taken from the 90degCC6col34 equivalence class, and the four-glider constellation is from 90degCC6col32. No doubt there are other substitutions that would reduce the bounding box a little more.

Equivalent substitutions could probably cut down the space taken up in the SW... though really there's probably a better design out there, maybe using six 180-degree turners in the NW instead of all those unnecessary 90-degree turners in the NE and SW. The initial splitter was also a very poor choice, because the two 180-degree signal paths have to cross the input lane, so those trombone slides can't be adjusted down to a reasonable minimum.
Incredible! Now, an infinite number of spaceships can have a 1G seed.

Here is a example (it is in 6G, but splitters could be added):

Code: Select all

x = 253, y = 847, rule = LifeHistory
161.2A$161.2A5$157.2A27.2A$157.2A27.2A2$183.2A4.A$183.A.A2.A.A$184.A3.
2A3$226.2A4.A$226.A.A2.A.A$227.A4.2A2$163.2A$163.2A61.2A$157.2A55.2A4.
A5.2A$157.2A32.A22.A.A2.A.A$163.2A25.A.A22.A4.2A$162.A.A13.2A10.2A4.A
$162.2A14.2A15.A.A$195.2A17.2A$192.A21.2A$183.2A6.A.A9.A$183.2A7.2A8.
A.A$202.2A4.A$207.A.A$207.2A$204.A$203.A.A37.2A$179.2A23.2A37.2A2.2A$
178.A.A66.2A$178.2A$182.2A60.A$181.A.A59.A.A3.A$182.A61.A3.A.A$176.2A
71.2A$176.2A29.2A$206.A.A10.2A13.A$206.A11.A.A12.A.A$205.2A12.A13.2A4$
216.2A$216.A.A7.2A$217.A8.A.A2.2A$222.2A3.2A2.2A$222.A$220.A.A$220.2A
8.2A$230.2A$135.3A$137.A49.2A$136.A51.A$188.A.A$189.2A2$222.A9.A$221.
A.A7.A.A$152.A68.A.A7.A.A$152.3A67.A9.A$155.A$154.2A64.A3.2A4.A3.2A$219.
A.A2.2A3.A.A2.2A$166.A24.2A26.2A8.2A$165.A.A23.2A23.A$166.2A47.A.A$188.
A26.A.A$187.A.A26.A$188.2A$214.A3.2A$208.A4.A.A2.2A$207.A.A3.2A$177.2A
17.A10.A.A$176.A.A16.A.A10.A$176.A18.A.A$175.2A19.A9.A3.2A$205.A.A2.2A
$194.A3.2A5.2A$193.A.A2.2A$193.2A7$176.2A$175.A.A$175.A$174.2A46$26.2A
$26.2A5$22.2A27.2A$22.2A27.2A2$48.2A4.A$48.A.A2.A.A$49.A3.2A3$91.2A4.
A$91.A.A2.A.A$92.A4.2A2$28.2A$28.2A61.2A$22.2A55.2A4.A5.2A$22.2A32.A22.
A.A2.A.A$28.2A25.A.A22.A4.2A$27.A.A13.2A10.2A4.A$27.2A14.2A15.A.A$60.
2A17.2A$57.A21.2A$48.2A6.A.A9.A$48.2A7.2A8.A.A$67.2A4.A$72.A.A$72.2A$
69.A$68.A.A37.2A$44.2A23.2A37.2A2.2A$43.A.A66.2A$43.2A$47.2A60.A$46.A
.A59.A.A3.A$47.A61.A3.A.A$41.2A71.2A$41.2A29.2A$71.A.A10.2A13.A$71.A11.
A.A12.A.A$70.2A12.A13.2A4$81.2A$81.A.A7.2A$82.A8.A.A2.2A$87.2A3.2A2.2A
$87.A$85.A.A$85.2A8.2A$95.2A$3A$2.A49.2A$.A51.A$53.A.A$54.2A2$87.A9.A
$86.A.A7.A.A$17.A68.A.A7.A.A$17.3A67.A9.A$20.A$19.2A64.A3.2A4.A3.2A$84.
A.A2.2A3.A.A2.2A$31.A24.2A26.2A8.2A$30.A.A23.2A23.A$31.2A47.A.A$53.A26.
A.A$52.A.A26.A$53.2A$79.A3.2A$73.A4.A.A2.2A$72.A.A3.2A$42.2A17.A10.A.
A$41.A.A16.A.A10.A$41.A18.A.A$40.2A19.A9.A3.2A$70.A.A2.2A$59.A3.2A5.2A
$58.A.A2.2A$58.2A7$41.2A$40.A.A$40.A$39.2A31$41.2A$42.A$42.A.A$43.2A7$
60.2A$60.A.A2.2A$61.A3.2A5.2A$72.A.A2.2A$42.2A19.A9.A3.2A$43.A18.A.A$
43.A.A16.A.A10.A$44.2A17.A10.A.A$74.A.A3.2A$75.A4.A.A2.2A$81.A3.2A$55.
2A$54.A.A26.A$55.A26.A.A$33.2A47.A.A$32.A.A23.2A23.A$33.A24.2A26.2A8.
2A$86.A.A2.2A3.A.A2.2A$21.2A64.A3.2A4.A3.2A$22.A$19.3A67.A9.A$19.A68.
A.A7.A.A$88.A.A7.A.A$89.A9.A2$56.2A$55.A.A$3.A51.A$4.A49.2A$2.3A$97.2A
$87.2A8.2A$87.A.A$89.A$89.2A3.2A2.2A$84.A8.A.A2.2A$83.A.A7.2A$83.2A4$
72.2A12.A13.2A$73.A11.A.A12.A.A$73.A.A10.2A13.A$43.2A29.2A$43.2A71.2A
$49.A61.A3.A.A$48.A.A59.A.A3.A$49.2A60.A$45.2A$45.A.A66.2A$46.2A23.2A
37.2A2.2A$70.A.A37.2A$71.A$74.2A$74.A.A$69.2A4.A$50.2A7.2A8.A.A$50.2A
6.A.A9.A$59.A21.2A$62.2A17.2A$29.2A14.2A15.A.A$29.A.A13.2A10.2A4.A$30.
2A25.A.A22.A4.2A$24.2A32.A22.A.A2.A.A$24.2A55.2A4.A5.2A$30.2A61.2A$30.
2A2$94.A4.2A$93.A.A2.A.A$93.2A4.A3$51.A3.2A$50.A.A2.A.A$50.2A4.A2$24.
2A27.2A$24.2A27.2A5$28.2A$28.2A122$30.2A$30.2A5$26.2A27.2A$26.2A27.2A
2$52.2A4.A$52.A.A2.A.A$53.A3.2A3$95.2A4.A$95.A.A2.A.A$96.A4.2A2$32.2A
$32.2A61.2A$26.2A55.2A4.A5.2A$26.2A32.A22.A.A2.A.A$32.2A25.A.A22.A4.2A
$31.A.A13.2A10.2A4.A$31.2A14.2A15.A.A$64.2A17.2A$61.A21.2A$52.2A6.A.A
9.A$52.2A7.2A8.A.A$71.2A4.A$76.A.A$76.2A$73.A$72.A.A37.2A$48.2A23.2A37.
2A2.2A$47.A.A66.2A$47.2A$51.2A60.A$50.A.A59.A.A3.A$51.A61.A3.A.A$45.2A
71.2A$45.2A29.2A$75.A.A10.2A13.A$75.A11.A.A12.A.A$74.2A12.A13.2A4$85.
2A$85.A.A7.2A$86.A8.A.A2.2A$91.2A3.2A2.2A$91.A$89.A.A$89.2A8.2A$99.2A
$4.3A$6.A49.2A$5.A51.A$57.A.A$58.2A2$91.A9.A$90.A.A7.A.A$21.A68.A.A7.
A.A$21.3A67.A9.A$24.A$23.2A64.A3.2A4.A3.2A$88.A.A2.2A3.A.A2.2A$35.A24.
2A26.2A8.2A$34.A.A23.2A23.A$35.2A47.A.A$57.A26.A.A$56.A.A26.A$57.2A$83.
A3.2A$77.A4.A.A2.2A$76.A.A3.2A$46.2A17.A10.A.A$45.A.A16.A.A10.A$45.A18.
A.A$44.2A19.A9.A3.2A$74.A.A2.2A$63.A3.2A5.2A$62.A.A2.2A$62.2A7$45.2A$
44.A.A$44.A$43.2A31$41.2A$42.A$42.A.A$43.2A7$60.2A$60.A.A2.2A$61.A3.2A
5.2A$72.A.A2.2A$42.2A19.A9.A3.2A$43.A18.A.A$43.A.A16.A.A10.A$44.2A17.
A10.A.A$74.A.A3.2A$75.A4.A.A2.2A$81.A3.2A$55.2A$54.A.A26.A$55.A26.A.A
$33.2A47.A.A$32.A.A23.2A23.A$33.A24.2A26.2A8.2A$86.A.A2.2A3.A.A2.2A$21.
2A64.A3.2A4.A3.2A$22.A$19.3A67.A9.A$19.A68.A.A7.A.A$88.A.A7.A.A$89.A9.
A2$56.2A$55.A.A$3.A51.A$4.A49.2A$2.3A$97.2A$87.2A8.2A$87.A.A$89.A$89.
2A3.2A2.2A$84.A8.A.A2.2A$83.A.A7.2A$83.2A4$72.2A12.A13.2A$73.A11.A.A12.
A.A$73.A.A10.2A13.A$43.2A29.2A$43.2A71.2A$49.A61.A3.A.A$48.A.A59.A.A3.
A$49.2A60.A$45.2A$45.A.A66.2A$46.2A23.2A37.2A2.2A$70.A.A37.2A$71.A$74.
2A$74.A.A$69.2A4.A$50.2A7.2A8.A.A$50.2A6.A.A9.A$59.A21.2A$62.2A17.2A$
29.2A14.2A15.A.A$29.A.A13.2A10.2A4.A$30.2A25.A.A22.A4.2A$24.2A32.A22.
A.A2.A.A$24.2A55.2A4.A5.2A$30.2A61.2A$30.2A2$94.A4.2A$93.A.A2.A.A$93.
2A4.A3$51.A3.2A$50.A.A2.A.A$50.2A4.A2$24.2A27.2A$24.2A27.2A5$28.2A$28.
2A46$176.2A$177.A$177.A.A$178.2A7$195.2A$195.A.A2.2A$196.A3.2A5.2A$207.
A.A2.2A$177.2A19.A9.A3.2A$178.A18.A.A$178.A.A16.A.A10.A$179.2A17.A10.
A.A$209.A.A3.2A$210.A4.A.A2.2A$216.A3.2A$190.2A$189.A.A26.A$190.A26.A
.A$168.2A47.A.A$167.A.A23.2A23.A$168.A24.2A26.2A8.2A$221.A.A2.2A3.A.A
2.2A$156.2A64.A3.2A4.A3.2A$157.A$154.3A67.A9.A$154.A68.A.A7.A.A$223.A
.A7.A.A$224.A9.A2$191.2A$190.A.A$138.A51.A$139.A49.2A$137.3A$232.2A$222.
2A8.2A$222.A.A$224.A$224.2A3.2A2.2A$219.A8.A.A2.2A$218.A.A7.2A$218.2A
4$207.2A12.A13.2A$208.A11.A.A12.A.A$208.A.A10.2A13.A$178.2A29.2A$178.
2A71.2A$184.A61.A3.A.A$183.A.A59.A.A3.A$184.2A60.A$180.2A$180.A.A66.2A
$181.2A23.2A37.2A2.2A$205.A.A37.2A$206.A$209.2A$209.A.A$204.2A4.A$185.
2A7.2A8.A.A$185.2A6.A.A9.A$194.A21.2A$197.2A17.2A$164.2A14.2A15.A.A$164.
A.A13.2A10.2A4.A$165.2A25.A.A22.A4.2A$159.2A32.A22.A.A2.A.A$159.2A55.
2A4.A5.2A$165.2A61.2A$165.2A2$229.A4.2A$228.A.A2.A.A$228.2A4.A3$186.A
3.2A$185.A.A2.A.A$185.2A4.A2$159.2A27.2A$159.2A27.2A5$163.2A$163.2A!
Just make the p40 rakes into a p40 block/beehive puffer, making another p40 rake and so on. Or if it is a block puffer, the block pull reaction can be used.

Also, this means a infinite number of puffers and rakes could be made in 1G. This should definitely make to the LifeWiki news.

Now for the Backrake 2...

Probably just use a similar technique to Goldtiger997's 58P5H1V1 seed by just making the glider synthesis for Backrake 2.
Not inactive any more! :D

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dvgrn
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Re: Glider-Powered Spaceships

Post by dvgrn » July 27th, 2020, 8:49 am

NoAyeBeardo wrote:
July 27th, 2020, 7:36 am
Also, this means a infinite number of [spaceships,] puffers and rakes could be made in 1G. This should definitely make to the LifeWiki news.
Hm, I don't see it quite that way. So far only a finite number of puffers and rakes have been made into 1G seed constellations -- namely, exactly one. It's definitely true that an infinite number of them could be made in 1G ... but that has been true for several decades now, since the first rake syntheses were done. It would be very very old news at this point.

If someone wrote a script to compile arbitrary glider recipes into 1G seeds, that could certainly be something newsworthy.
NoAyeBeardo wrote:
July 27th, 2020, 7:36 am
Now for the Backrake 2...
Hold on a minute, what about finishing the actual space rake first? It's much easier than starting all over on a Backrake 2 recipe -- just one constellation to move a little bit, and one to be replaced, starting from the backrake seed.

EDIT: toroidalet completed a spacerake seed on August 3rd. Now maybe a Backrake 2 is a good next target.

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Re: Glider-Powered Spaceships

Post by dvgrn » August 21st, 2020, 11:12 am

dvgrn wrote:
July 27th, 2020, 8:49 am
EDIT: toroidalet completed a spacerake seed on August 3rd. Now maybe a Backrake 2 is a good next target.
If anyone wants to give this a try, some of the MWSS seeds posted here, from a search of stable constellations inside 8x8, look like they should work.

As a starting point, it seems like the B-heptomino activation can't be done quite as simply as for the spacerakes, because the MWSS on the bottom has sparks that get in the way of the LWSS-to-B conversion. So either the MWSS has to be created at just the right time --

Code: Select all

x = 50, y = 32, rule = B3/S23
2bo$o3bo$5bo28bo$o4bo6bo2bo19bo$b5o10bo6b2o8b3o$12bo3bo4b2ob2o$13b4o4b
4o$22b2o5$23b2o$21b2ob2o$21b4o$22b2o$2b2o$2ob2o$4o$b2o35b2o$38bobo$39b
o2$34b2o$34b2o2b2o$38b2o4$47b3o$47bo$48bo!
-- or another way to create the B-heptomino could be used.

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