How about a unidimensional spaceship?

[Sphenocorona]

Here are some proof-of-concept salvos 1, 2, and 3 (plus glider source) that can be used to automatically build a 6c/13 wick, and that can be toggled on and off when it rams into strategically placed blocks:

Code: Select all

#C Bistable slide gun salvos for building a 6c/13 wick.
#C These examples aren't very efficient, but they serve as a proof of concept.
#C In order to build a 6c/13 wick, the salvos need to be fired repeatedly in
#C numerical order, 1 2 3 1 2 3 1 2 3 etc.
#C I was too lazy to get nice tidy big lettering for the labels so they're hand-drawn
x = 335, y = 404, rule = LifeHistory
2.2D$.9D20.5D$.D28.D$.D27.2D133.A$.D27.D37.D20.5D69.A3.A$D29.D35.D.2D
6.3D6.3D4.D12.3D53.A$D29.2D33.D4.2D3.D8.2D6.D9.D4.D44.2C7.A4.A$D3.2D
25.2D11.5D16.D6.3D8.2D5.2D9.3D.3D43.C2.C6.5A$D4.6D22.2D9.2D2.2D9.D5.D
7.D9.7D12.D2.D46.2C$D6.D2.D24.3D5.D.D3.D.D7.D3.D.D6.D10.D21.3D$D6.3D
27.3D2.D6.D.D7.D3.D.D6.2D9.2D$2D6.2D29.D2.D6.D.D7.D3.D.D7.D10.2D97.A
2.A$.D6.2D29.2D.D5.D2.D6.2D.D2.2D8.2D10.5D91.A$.2D6.D22.2D6.D.D5.D2.
2D5.D.2D2.2D10.D105.A3.A$2.D2.4D23.D6.2D2.5D4.3D2.2D.D4.D11.6D99.4A$
2.4D27.2D4.D14.3D$35.4D175.A2.A$213.A$213.A3.A$213.4A21$111.C$112.C$
110.3C38$192.A2.A$191.A$191.A3.A$191.4A$89.2E$89.2E2$164.2A$62.5D95.A
4.A$61.2D12.3D66.2E15.A$61.D10.D2.D.D33.C32.2E6.2C7.A5.A$61.D3.2D4.3D
.3D34.C38.C2.C6.6A$61.D4.D5.D2.D.D32.3C39.2C$61.2D3.D8.3D146.3A$62.5D
156.5A$222.2A.3A$223.2A25$15.2D$15.2D$14.D.D$13.D2.D$13.D2.D$11.2D3.D
$10.D5.D$10.D5.D$9.D5.D$7.2D6.D176.A2.A$6.D8.D175.A$15.D175.A3.A$15.D
175.4A$15.D$15.D$14.D$14.D149.2A$14.D147.A4.A$14.D60.3D83.A$14.D57.D
4.D33.C40.2C7.A5.A$14.D56.3D.3D34.C38.C2.C6.6A$14.D57.D2.D34.3C39.2C$
14.D60.3D146.3A$14.D208.5A$13.D208.2A.3A$13.D209.2A$13.D$13.D$13.D$
13.D$13.D$13.D$9.17D$.8D4.D12.2D26$192.A2.A$191.A$191.A3.A$191.4A4$
164.2A$62.5D95.A4.A$61.2D12.3D83.A$61.D10.D4.D68.2C4.2D7.A5.A$61.D3.
2D4.3D.3D67.C2.C2.D2.D6.6A$61.D4.D5.D2.D70.2C4.2D$61.2D3.D8.3D146.3A$
62.5D156.5A$222.2A.3A$223.2A35$231.5D8.5D$231.D7.D4.D11.4D5.3D10.3D
10.3D13.3D$231.D8.D3.D11.D5.D4.D7.D4.D7.D4.D3.3D7.D5.3D.3D.3D.3D.D$
231.D2.2D2.4D2.D2.2D7.D.2D.3D.3D6.3D.3D6.3D.3D13.3D4.D2.D.D2.D2.D.D.D
$231.D3.D4.D3.D3.D7.D2.D2.D2.D9.D2.D9.D2.D5.3D7.D.D4.D2.D.D2.D2.3D.D$
231.D3.D3.D4.D3.D7.4D5.3D2.D7.3D2.D7.3D13.3D4.D2.3D2.D2.D.D.2D$231.5D
8.5D20.D12.D9$17.3D$11.6D3.2D$9.2D11.D$8.D14.D$5.3D15.D$5.D18.D206.5D
8.D3.D$3.2D19.D206.D7.D4.2D2.D7.4D5.3D10.3D10.D.D13.3D$3.D20.D206.D8.
D3.2D2.D7.D5.D4.D7.D4.D10.D.D3.3D7.D.D3.3D.3D.3D.3D.D$24.D206.D2.2D2.
4D2.D.D.D7.D.2D.3D.3D6.3D.3D6.3D.3D13.D.D4.D2.D.D2.D2.D.D.D$24.D206.D
3.D4.D3.D2.2D7.D2.D2.D2.D9.D2.D14.D3.3D7.D.D4.D2.D.D2.D2.3D.D$23.D
207.D3.D3.D4.D2.2D7.4D5.3D2.D7.3D2.D9.D13.3D4.D2.3D2.D2.D.D.2D$22.D
141.A66.5D8.D3.D20.D12.D$22.D139.A3.A$21.D54.3D82.A$21.D50.D5.D73.2C
7.A4.A$20.D50.3D2.3D72.C2.C6.5A$19.D52.D3.D75.2C$18.D57.3D$17.D$16.D$
15.D174.2A$14.D174.2A.2A$13.D176.4A$12.D178.2A$11.D$10.D220.D3.D8.D3.
D$9.D221.2D2.D3.D4.2D2.D16.3D10.3D10.3D13.3D$8.D222.2D2.D4.D3.2D2.D
13.D4.D7.D4.D7.D4.D3.3D7.D5.3D.3D.3D.3D.D$7.D223.D.D.D2.4D2.D.D.D12.
3D.3D6.3D.3D6.3D.3D13.3D4.D2.D.D2.D2.D.D.D$6.D224.D2.2D4.D3.D2.2D13.D
2.D9.D2.D9.D2.D5.3D7.D.D4.D2.D.D2.D2.3D.D$5.D225.D2.2D3.D4.D2.2D16.3D
2.D7.3D2.D7.3D13.3D4.D2.3D2.D2.D.D.2D$3.2D226.D3.D8.D3.D20.D12.D$2.D$
.23D12$231.D3.D8.5D$231.2D2.D3.D4.D11.4D5.3D10.3D10.3D10.D2.3D$231.2D
2.D4.D3.D11.D5.D2.D.D7.D4.D7.D4.D3.3D3.2D4.D3.3D.3D.3D.3D.D$231.D.D.D
2.4D2.D2.2D7.D.2D.3D.3D6.3D.3D6.3D.3D10.D2.3D4.D2.D.D2.D2.D.D.D$231.D
2.2D4.D3.D3.D7.D2.D2.D2.D.D7.D2.D9.D2.D5.3D4.D2.D6.D2.D.D2.D2.3D.D$
231.D2.2D3.D4.D3.D7.4D5.3D2.D7.3D2.D7.3D9.3D.3D4.D2.3D2.D2.D.D.2D$
231.D3.D8.5D20.D12.D47$275.2A$274.2A.2A$275.4A$164.A111.2A26.A$162.A
3.A135.A3.A$75.3D83.A139.A$9.6D57.D4.D74.2C7.A4.A134.A4.A$8.D6.D55.3D
.3D73.C2.C6.5A85.5A45.5A$6.2D8.D55.D2.D76.2C97.A4.A$5.D10.D58.3D173.A
$4.D12.D234.A3.A$3.D14.D184.A50.A$3.D14.D182.A3.A$18.D181.A$19.D180.A
4.A$19.D153.A2.A23.5A27.A2.A$19.D152.A58.A99.2A$19.D152.A3.A54.A3.A
94.2A.2A$19.D152.4A55.4A96.4A$18.D313.2A$18.D$17.D$17.D$16.D$14.2D$
11.3D$5.7D$12.4D$16.D$17.2D$19.D$20.D$21.2D$22.D$22.D$22.D$22.D$22.D$
21.D$20.D$18.2D255.2A$16.2D256.2A.2A$2.D5.8D259.4A$2.6D156.A111.2A26.
A$162.A3.A135.A3.A$75.D.D68.2E13.A139.A$75.D.D68.2E4.2C7.A4.A134.A4.A
$71.3D.3D73.C2.C6.5A85.5A45.5A$77.D74.2C97.A4.A$77.D173.A$252.A3.A$
203.A50.A$201.A3.A$200.A$200.A4.A$173.A2.A23.5A27.A2.A$172.A58.A99.2A
$172.A3.A54.A3.A94.2A.2A$172.4A55.4A96.4A$332.2A!

This solution looks pretty ugly, needing roughly 20 xWSS on each side of the center axis per period. But it shows that this kind of approach to rebuilding the wick is an option available to us. I've attached a quick and dirty demo of this system, showing that the toggle functionality does work. This idea could in theory be used for more complex wicks to build like 2c/3, though the whole thing would be quite a bit more complex. I fully expect that the version I've posted here won't be the final version making it into the spaceship, even if it does use an automatic wick extender setup like this, just because it's so inefficient and it also builds a wick slower than c/2.

[Pavgran]

Here are wick transitions:
Normal wick -> pre-pulsar -> t tetromino -> t wick (6c/13 *2) -> queen bee -> normal wick.
All the transitions are clean.

Code: Select all

x = 209, y = 1, rule = LifeSuper
2G.6G2.3M.3M.3Q.3pA.3U.3S.3O.3W7.3M.3M.3M.3M7.3S3.3W3.3S3.3W3.3S3.3W
3.3S3.3W3.3S3.3W3.3M.3M.3M.3M4.3M.3M.3U.3S.3O.3W.3S.3O.3W.3S.3O.3W.3S
.3O.3W!

I don't know if these are the simplest normal->t and t->normal transitions, I've found them while studying various wick reactions.

Also, I've found an another method of supposedly universal initial construction. The concept is to fire a glider far into the sky, wait for some time, shoot it down with vertical LWSS producing another glider travelling down (the wick stops after emitting the LWSS). That glider then collides with the middle-point and ignites two wicks travelling away from each other. These wick fire backwards LWSSs which collide to produce explosions at various points. These explosions then are catalyzed by dirty wick debris to produce something.
Camera operator work is hard...

Code: Select all

x = 2755, y = 1, rule = LifeSuper
2G.6G2.3M.3M.3Q.3pA.3U2.3M8.3M5.3M7.3M.3pA2.3M3.3M.3Q.3pA2.3M3.3M.3Q.
3pA2.3M3.3M.3Q.3pA2.3M3.3M.3Q.3pA2.3M3.3M.3Q.3pA2.3M3.3M.3Q.3pA2.3M3.
3M.3Q.3pA2.3M3.3M.3Q.3pA2.3M3.3M.3Q.3pA.3W7.3M.3M.3M.3M7.3M.3M.3M.3M
7.3M.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.
3pA3.3M5.3Q.3pA.3W7.3M.3M.3M.3M7.3M.3M.3M.3M7.3M.3Q.3pA3.3M5.3Q.3pA3.
3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA.3W7.3M.3M.
3M.3M7.3M.3M.3M.3M7.3M.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M
5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA.3W7.3M.3M.3M.3M7.3M.3M.3M.3M7.3M.3Q.
3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.3Q.3pA3.3M5.
3Q.3pA2.3M8.3M.3M152.3pA.3M2.3M.3M.3M5.3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.
3M.3M.3M.3M7.3U.3pA.3Q.3M3.3M2.3O.3S.3W.3O.3S.3U.3pA.3Q.3M3.3M2.3pA.
3M2.3M.3M.3M5.3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.3M7.3U.3pA.3M2.
3M.3M.3M5.3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.3M7.3U.3pA.3M2.3M.3M
.3M5.3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.3M7.3U.3pA.3Q.3M3.3M2.3pA
.3Q.3M3.3M2.3pA.3M2.3M.3M.3M5.3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.
3M7.3U.3pA.3M2.3M.3M.3M5.3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.3M7.
3W.3O.3S.3W.3O.3S.3U.3pA.3Q.3M7.3M.3M.3M.3M3.3M2.3M3.3M3.3M.3M.3M.3M
7.3M.3Q.3pA.3U.3S.3O.3W.3S.3O.3W2.3M.3M3.3M2.3M.3pA.3U2.3M.3M3.3M2.3M
.3pA.3U.3U7.3M.3M.3M.3M7.3M.3M.3M.3M5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.
3pA.3U7.3M.3M.3M.3M7.3M.3M.3M.3M5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.3pA2.
3M3.3M.3Q.3pA.3U.3S.3O.3W.3S.3O.3W.3S.3O.3W.3S.3O2.3M3.3M.3Q.3pA.3U7.
3M.3M.3M.3M7.3M.3M.3M.3M5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.3pA2.3M3.3M.
3Q.3pA.3U.3S2.3M3.3M.3Q.3pA.3U7.3M.3M.3M.3M7.3M.3M.3M.3M5.3M.3M.3M2.
3M.3M5.3M.3M.3M2.3M.3pA.3U7.3M.3M.3M.3M7.3M.3M.3M.3M5.3M.3M.3M2.3M.3M
5.3M.3M.3M2.3M.3pA2.3M3.3M.3Q.3pA.3U.3S2.3M3.3M.3Q.3pA.3U7.3M.3M.3M.
3M7.3M.3M.3M.3M5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.3pA!
[[ GPS 60 ]]
[[ T 0 X -1350 Y 0 Z 7 ]]
[[ T 200 X -1250 Y 0 Z 4 LINEAR X ]]
[[ T 1750 X -425 STEP 6 LINEAR X ]]
[[ T 2085 X -425 Z 2.2 STEP 1 ]]
[[ T 3630 X -425 Y -900 Z 4 STEP 30 LINEAR Y ]]
[[ T 4270 Z 2.3 STEP 1 ]]
[[ T 7440 X 500 Y 0 Z 4 STEP 60 ]]
[[ T 7490 STEP 1 ]]
[[ T 7690 X 590 Z 3 ]]
[[ T 8300 Z -1.2 ]]
[[ T 8600 Z 3 ]]
[[ T 9550 STEP 20 ]]
[[ T 9700 STEP 1 ]]
[[ T 10070 STEP 20 ]]
[[ T 10350 STEP 1 ]]
[[ T 11380 STEP 20 ]]
[[ T 11600 STEP 1 ]]

I think this method is more convoluted than single-channel HWSS one, but it may happen to be useful. It is shorter for the same number of XWSSs, so it may be more efficient. These methods can even be combined, since the wick has to travel at c/2 to catch the glider with the LWSS, and it does so naturally while constructing HWSS stream. There is also a problem of cleaning up glider-LWSS explosion, but that can be done with just a few gliders.

[Bullet51]

Also, I've found an another method of supposedly universal initial construction. The concept is to fire a glider far into the sky, wait for some time, shoot it down with vertical LWSS producing another glider travelling down (the wick stops after emitting the LWSS)

How did you find the vertical LWSS producing reaction? It may be beneficial if we have more downward glider channels.

[Pavgran]

How did you find the vertical LWSS producing reaction? It may be beneficial if we have more downward glider channels.

That was the reaction that happened VERY often in random blinker soups. I even had to explicitly forbid [2,8] spacing at the beginning so that these reactions won't clutter up results.
Also, gliders from this reaction are very expensive. You have to align fuse at two points of space-time, and you have to clean up the debris from the reaction.

There is also this clean reaction:

Code: Select all

x = 54, y = 42, rule = LifeSuper
42.2M$43.2M$42.M13$50.3M$50.M2.M$50.M$50.M$51.M20$2M$.2M$M!

But that is inaccessible right now, as 1) input glider lanes are too close and 2) the LWSS is of wrong parity.

[muzik]

Not sure if this clean fuse has been mentioned here before, I checked a few earlier posts:

Code: Select all

x = 82, y = 15, rule = B3/S23
4$6b2ob2o$6b2obobo$11bob3ob3ob3ob3ob3ob3o3b3o5b3ob3o3b3o5b3ob3o3b3o$6b
2obobo$6b2ob2o!

And this can be used to leave behind blinkers of the same parity:

Code: Select all

x = 83, y = 5, rule = B3/S23
b2o$o2bo$o2bo2b3ob3o3b3ob3o3b3ob3o3b3ob3o3b3ob3o3b3ob3o3b3ob3o3b3ob3o$
o2bo$b2o!

And some useless looking reactions I found while trying to find a way to get a conventional fuse to produce a house at an odd generation to feed into a minor glider-producing reaction I found:

Code: Select all

x = 80, y = 43, rule = B3/S23
8$13b2o$13bobo$15bob3o4b3ob3o7b3o4b3ob3o7b3ob3o4b3o$13bobo$13b2o18$8b
2o$7bo2bo$7bo2bo2b3o2b3o7b3o5b3ob3ob3o$7bo2bo$8b2o!

[calcyman]

I've been thinking about the tape-reading mechanism some more. Here's an 18-glider p2 slow salvo which does the following:

• If no blinker is present, do nothing;
• If a blinker is present, push it 2 cells forwards (east) and emit a backwards (west) MWSS.

Code: Select all

x = 313, y = 653, rule = TripleLife
.C$2.C$3C8$13.C$14.C$12.3C13$22.C$23.C$21.3C38$62.C$63.C$61.3C18$83.C
$84.2C$83.2C18$94.C$95.C$93.3C18$111.C$112.2C$111.2C18$121.C$122.2C$
121.2C18$145.C$146.C$144.3C18$174.C$175.C$173.3C18$195.C$196.C$194.3C
25$220.C.C$221.2C$221.C8$229.C.C$230.2C$230.C8$238.C.C$239.2C$239.C8$
247.C.C$248.2C$248.C23$266.C.C$267.2C$267.C8$285.C.C$286.2C$286.C13$
294.C.C$295.2C$295.C12$310.3E12$295.C$295.2C$294.C.C13$286.C$286.2C$
285.C.C8$267.C$267.2C$266.C.C23$248.C$248.2C$247.C.C8$239.C$239.2C$
238.C.C8$230.C$230.2C$229.C.C8$221.C$221.2C$220.C.C25$194.3C$196.C$
195.C18$173.3C$175.C$174.C18$144.3C$146.C$145.C18$121.2C$122.2C$121.C
18$111.2C$112.2C$111.C18$93.3C$95.C$94.C18$83.2C$84.2C$83.C18$61.3C$
63.C$62.C38$21.3C$23.C$22.C13$12.3C$14.C$13.C8$3C$2.C$.C!

Why is this useful? Well, we can construct 18 of these cheap yl1152s on each side of the axis without any synchronisation headaches:

Code: Select all

x = 168, y = 200, rule = B3/S23
162b2o$161b3o$160bob2o$145bo13bo$145bo12bo3b2o3bo$145bo11bo$158bobo$
160bo$144bo13bobo4bo$136b2o4b2ob2o$136b2o20b4o$145bobo12b2o$143bo3bo$
143bo2b2o$144b3o$145bo2$128b2o11bo$128b2o10bobo$140bobo$141bo$156b2o$
156b2o$143b2o$142bo2bo$120b2o21b2o$120b2o22bo3$148b2o$148b2o$123b2o$
123b2o3$127b2o$127b2o5$104b2o$104b2o3$132b2o$114b2o16b2o$114b2o2$96b2o
$96b2o20b2o$118b2o2$124b2o$124b2o$99b2o$99b2o3$103b2o$103b2o5$80b2o$
80b2o3$108b2o$90b2o16b2o$90b2o2$72b2o$72b2o20b2o$94b2o2$100b2o$100b2o$
75b2o$75b2o3$79b2o$79b2o5$56b2o$56b2o4$66b2o$66b2o2$48b2o$48b2o20b2o
12bo$70b2o11bobo2b2o7b2o$82bo3b4o6b3o$85bo7bobob2o$80b2obo10b2o$51b2o
28bobo$51b2o19b2o8bo$72b2o2$55b2o$55b2o4$87bo$32b2o23b3o23bob2obo$32b
2o23b3o21b2o5bo$60bo$57b4o20bo10b2o$58bo2b2o18bob5o4b2o$42b2o17bo24b2o
$42b2o14bo6b2o15bob2o$57bo2b2o2b3o16bo$24b2o31bo4b2o$24b2o30bobo4b4o$
56b2o6bobo$57bo26b2o$84b2o2$27b2o$27b2o3$31b2o29b2o$31b2o29b2o12b2o$
76b2o3$42b2o$8b2o31bo2bo$8b2o32b2o$65b2o$64bobo$65bo3$47b2o$2o45bobo$
2o46bo5$3b2o$3b2o14b2o$19b2o2$7b2o19b2ob2o$7b2o19b2ob2o19b2o$52b2o5$
13b2o$13bobo$14bo29b2o$44b2o2$2b2o$bo2bo$2bobo$3bo$33b2o$32bobo$5b2o
26bo$4bo2bo$5b2o$15b2o$15bobo$16bo10$20b2o$20b2o4$13b2o$12bo2bo$6b2o4b
obo$6b2o5bo3bo$16bobo$15bo2bo$16b2o!

and it will read-and-shift a tape consisting of bits (represented by blinkers) positioned every 192 cells, producing a backward MWSS stream of period 1920 (compatible with plenty of technology -- p120, p30, p8, etc.). With some very minimal p1920 circuitry, this MWSS stream could be wired up to the single-blinker construction arm from the RCT15/16/17 project, giving us tape-directed universal construction almost immediately.

Also, because the puffers are c/12 diagonal, we can fire them down from behind using gliders* much later, instead of needing to construct a complicated fuse-based method of self-destruction. Then we can build Corderabsorbers at the end and do the usual ash-cleaning thing familiar from the RCT15 project (and this yl1152 looks to be less messy than a GPSE anyway).

* The BLSE throws off sparks that protrude a single half-diagonal beyond the block trail, so this is indeed possible.

Like the RCT15 project, this will have some bootstrapping: chris_c's clever blinker-trail reactions will be used to construct the tape-reading yl1152s and seed for a minimal construction arm, along with a large (but bounded!) amount of ash, and then that construction arm will be responsible for cleaning the ash and restoring those blinker trails 2 cells further east, along with doing the cleanup of any mechanisms constructed. We'll probably want to involve at least one more layer of bootstrapping -- maybe a p1920 DBCA -- for the same reasons as in the RCT15 project (increased efficiency and ease of firing in directions that are inconvenient for the original construction arm).

Unlike the RCT15, though, the period and bounding box are only linear in the length of the tape, not exponential. Instead of doubling the bounding box, each additional bit of tape only increases the length of the spaceship by 192 cells. So whilst we'll have a similar number of abstractions as in the RCT15 project, the final pattern will be HashLife-friendly and runnable in Golly without any issues.

[googleplex]

I've been thinking recently about this project and I think I have a new approach.
This design would be (relatively) simple and would possibly bootstrap calcyman's design. This design would be similar to previous designs using transparent MWSS seeds, but it would instead have 2 streams of MWSSes, colliding with each other. Such colliding MWSS streams can create monochromatic, monophase slow salvos.
Here's an example:

Code: Select all

x = 386, y = 1, rule = B3/S23
6o2b3ob3ob3ob3o3b3o2b3ob3ob3o10b3o2b3ob3ob3o9b3o6b6o2b3ob3ob3ob3o3b3o
2b3ob3ob3o10b3o2b3ob3ob3o9b3o50b3o9b3ob3ob3o2b3o10b3ob3ob3o2b3o3b3ob3o
b3ob3o2b6o10b3o9b3ob3ob3o2b3o10b3ob3ob3o2b3o3b3ob3ob3ob3o2b6o!

A construction arm like this could build the puffers from calcyman's design and circuitry to use the inbound MWSSes for construction. This second construction arm (and whatever bootstrapping mechanisms it makes) would then clean up the debris from the puffers, as well as the debris from the MWSS-creating reactions. Then it creates a some one-time turner mechanisms to trigger the MWSSes and cleans itself up.

No fancy (and slow!) detection mechanisms would be needed to create the one-time turners because the one-time turner recipe would be encoded in calcyman's tape.

EDIT: It's not actually monochromatic. I forgot that you can just move the whole reaction over, like this:

Code: Select all

x = 624, y = 30, rule = LifeHistory
13$23.A85.A112.A85.A10.A89.A106.A89.A$21.A3.A81.A3.A108.A3.A81.A3.A6.
A3.A85.A3.A102.A3.A85.A3.A$26.A85.A112.A85.A4.A89.A106.A89.A$21.A4.A
80.A4.A107.A4.A80.A4.A4.A4.A84.A4.A101.A4.A84.A4.A$22.5A81.5A108.5A
81.5A4.5A85.5A102.5A85.5A!

EDIT2:
Found a different-phased option, making all slow salvos possible:

Code: Select all

x = 494, y = 5, rule = B3/S23
2bo86bo89bo89bo11bo92bo116bo$o3bo82bo3bo85bo3bo85bo3bo7bo3bo88bo3bo
112bo3bo$5bo86bo89bo89bo5bo92bo116bo$o4bo81bo4bo84bo4bo84bo4bo5bo4bo
87bo4bo111bo4bo$b5o82b5o85b5o85b5o5b5o88b5o112b5o!

EDIT3: with help from the discord, a 1-glider seed for the p1152 puffer:

Code: Select all

x = 67, y = 46, rule = B3/S23
$16b2o$16b2o3$22b2o$22bobo$23bo3$34bo$33bobo$33b2o$22b2o$21bo2bo$21bob
o$22bo3b2o$26b2o6$34bo2b2o$23bo8b3o3bo$23bo7bo6bobo$23bo7b2o6b2o5$53b
2o$32b2o19bobo$32b2o19bo!

1 glider escapes, but it's heading back into the pattern and as such doesn't matter.

[calcyman]

Right... I think that the following initial bootstrap sequence works:

1. The unidimensional blinker fuse is triggered from the easternmost endpoint, producing a west-burning fuse.
2. This west-burning fuse immediately produces some NW gliders and, a while later, a northbound LWSS using Pavgran's idea (but reflected):
   

   Code: Select all

   x = 2755, y = 1, rule = LifeSuper
   3pA.3M2.3M.3M.3M5.3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.3M7.3U.3pA.
   3Q.3M3.3M2.3S.3U.3pA.3Q.3M3.3M2.3pA.3M2.3M.3M.3M5.3M.3M2.3M.3M.3M5.3M
   .3M.3M.3M7.3M.3M.3M.3M7.3U.3pA.3M2.3M.3M.3M5.3M.3M2.3M.3M.3M5.3M.3M.
   3M.3M7.3M.3M.3M.3M7.3U.3pA.3Q.3M3.3M2.3S.3U.3pA.3Q.3M3.3M2.3pA.3M2.3M
   .3M.3M5.3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.3M7.3U.3pA.3Q.3M3.3M2.
   3O.3S.3W.3O.3S.3W.3O.3S.3W.3O.3S.3U.3pA.3Q.3M3.3M2.3pA.3M2.3M.3M.3M5.
   3M.3M2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.3M7.3U.3pA.3M2.3M.3M.3M5.3M.3M
   2.3M.3M.3M5.3M.3M.3M.3M7.3M.3M.3M.3M7.3U.3U.3pA.3M2.3M3.3M.3M2.3U.3pA
   .3M2.3M3.3M.3M2.3W.3O.3S.3W.3O.3S.3U.3pA.3Q.3M7.3M.3M.3M.3M3.3M3.3M2.
   3M3.3M.3M.3M.3M7.3M.3Q.3pA.3U.3S.3O.3W.3S.3O.3W7.3M.3M.3M.3M7.3M.3M.
   3M.3M5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.3pA.3U7.3M.3M.3M.3M7.3M.3M.3M.3M
   5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.3pA2.3M3.3M.3Q.3pA2.3M3.3M.3Q.3pA.3U
   7.3M.3M.3M.3M7.3M.3M.3M.3M5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.3pA.3U7.3M.
   3M.3M.3M7.3M.3M.3M.3M5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.3pA.3U7.3M.3M.3M
   .3M7.3M.3M.3M.3M5.3M.3M.3M2.3M.3M5.3M.3M.3M2.3M.3pA2.3M3.3M.3Q.3pA.3U
   .3S.3O.3W.3S.3O2.3M3.3M.3Q.3pA.3U7.3M.3M.3M.3M7.3M.3M.3M.3M5.3M.3M.3M
   2.3M.3M5.3M.3M.3M2.3M.3pA152.3M.3M8.3M2.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.
   3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.3M7.
   3M.3M.3M.3M7.3W.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.
   3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.3M7.3M.3M.3M.3M7.3W.3pA.3Q5.
   3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.
   3Q.3M7.3M.3M.3M.3M7.3M.3M.3M.3M7.3W.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.
   3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.3M7.3M.3M
   .3M.3M7.3W.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M
   2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.
   3M3.3M2.3pA.3M7.3M5.3M8.3M2.3U.3pA.3Q.3M.3M2.6G.2G!

3. The LWSS and glider collide to form a 'floating island', as in Pavgran's demonstration, which emits a SW-bound glider to ignite a fuse burning in both directions.
4. We use googleplex's reactions to create an arbitrary NE-directed slow salvo aimed at the floating island.
5. Firstly, this produces a SE-directed slow^2 salvo to build the MWSS-receiving circuitry near the axis, slightly to the east of the entirety of the blinker fuses.
6. Secondly, with regular slow^1 gliders, we sequentially build the 18 yl1152s, in a left-to-right order so that ash trails produced by earlier yl1152s don't block the glider stream from later yl1152s.
7. The MWSSes from the sparse blinker tape begin arriving into the MWSS-receiving circuitry, which is attached to the universal single-blinker construction arm familiar from the RCT15/16/17 project.

[calcyman]

Here's a p1920 self-activating construction arm:

Code: Select all

#C [[ ZOOM 2 ]]
x = 251, y = 145, rule = B3/S23
139b2o$139b2o60$55b2o$55b2o7$56b2o$55bobo24bo25bo$55b2o25b3o23b3o$85bo
25bo$84b2o6bo17b2o6bo$91bobo23bobo$92bo25bo2$112b2o$62b2o15b2o24b2o5b
2o$63bo15b2o6b2o16b2o$52b2o6b3o24b2o$53bo6bo$50b3o12b2o29b2o24b2o$50bo
14b2o29b2o24b2o$130b2o$61b2o18b2o24b2o21b2o$62bo17bobo23bobo$60bo19bo
25bo$60b2o17b2o24b2o26b2o$133b2o2$48bo$47bobo$48b2o$132b2o$131bobo$
131bo$66b2o24b2o36b2o$67bo25bo$67bobo23bobo$68b2o24b2o34bo$130b3o$83b
2o24b2o22bo$83b2o24b2o21b2o2$147b2o$66b2o24b2o53bo$66b2o5b2o17b2o5b2o
47b3o$73b2o24b2o40b2o7bo$141b2o$79bo25bo$78bobo23bobo31b2o$71b2o6bo17b
2o6bo32b2o$72bo25bo$69b3o23b3o$69bo25bo45b2o$141b2o19$245b5o$b2o242bo
4bo$b2o242bo$246bo3bo$248bo$4b2o$3bobo79bo$b3obobo76bobo$o5b2o77bobo$
2o84b2o!

It will be built using a SE-directed slow^2 salvo produced from the floating island. This slow^2 salvo doesn't need a target, because the two mirror-images of the first gliders in the salvo will form a bi-block on the axis, and subsequent gliders can pull the halves of that bi-block away to form a suitable target for the remainder of the slow^2 salvo.

It's universal because the sequence of incoming MWSSes result in double gliders (of the same shape as in the RCT15 project) and any gaps in the stream result in single gliders, and we already know that these binary slow salvos are capable of universal construction.

[Pavgran]

Right... I think that the following initial bootstrap sequence works:

1. The unidimensional blinker fuse is triggered from the easternmost endpoint, producing a west-burning fuse.
2. This west-burning fuse immediately produces some NW gliders and, a while later, a northbound LWSS using Pavgran's idea (but reflected):
   <snip>
3. The LWSS and glider collide to form a 'floating island', as in Pavgran's demonstration, which emits a SW-bound glider to ignite a fuse burning in both directions.
4. We use googleplex's reactions to create an arbitrary NE-directed slow salvo aimed at the floating island.

Concrete demonstration of these points:

Code: Select all

x = 2457, y = 1, rule = LifeSuper
3pA.3Q2.3M3.3M2.3M2.3M4.3M.3M.3M2.3M8.3M5.3M4.3M.3M.3M.3M4.3M3.3M.3M
2.3Q.3M3.3M2.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q2.3M3.3M2.3M2.3M4.3M.3M.3M
2.3M8.3M5.3M4.3M.3M.3M.3M4.3M3.3M.3M2.3Q.3M3.3M2.3pA.3Q2.3M3.3M2.3M2.
3M4.3M.3M.3M2.3M8.3M5.3M4.3M.3M.3M.3M4.3M3.3M.3M2.3Q.3M3.3M2.3pA.3Q5.
3M3.3pA.3Q5.3M3.3pA.3Q2.3M3.3M2.3M2.3M4.3M.3M.3M2.3M8.3M5.3M4.3M.3M.
3M.3M4.3M3.3M.3M2.3Q.3M3.3M2.3pA.3Q.3M7.3M.3M.3M.3M3.3M3.3M2.3M3.3M.
3M.3M.3M7.3M.3Q.3pA.3U.3S.3O.3W.3S.3O2.3M3.3M.3Q2.3M.3M3.3M4.3M.3M.3M
.3M4.3M5.3M8.3M2.3M.3M.3M4.3M2.3M2.3M3.3M2.3Q.3pA.3U.3S.3O.3W.3S.3O.
3W.3S.3O.3W2.3M3.3M.3Q2.3M.3M3.3M4.3M.3M.3M.3M4.3M5.3M8.3M2.3M.3M.3M
4.3M2.3M2.3M3.3M2.3Q.3pA2.3M3.3M.3Q2.3M.3M3.3M4.3M.3M.3M.3M4.3M5.3M8.
3M2.3M.3M.3M4.3M2.3M2.3M3.3M2.3Q.3pA.3U.3S.3O.3W.3S.3O.3W.3S.3O.3W2.
3M3.3M.3Q2.3M.3M3.3M4.3M.3M.3M.3M4.3M5.3M8.3M2.3M.3M.3M4.3M2.3M2.3M3.
3M2.3Q.3pA280.3M.3M8.3M2.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.
3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.3M7.3M.3M.3M.3M7.3W.
3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.
3M3.3pA.3Q.3M7.3M.3M.3M.3M7.3M.3M.3M.3M7.3W.3pA.3Q5.3M3.3pA.3Q5.3M3.
3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.
3M7.3M.3M.3M.3M7.3W.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.
3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.3M7.3M.3M.3M.3M7.3W.3pA.
3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M
2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3M
7.3M5.3M8.3M2.3U.3pA.3Q.3M.3M2.6G.2G!

Two NE-directed gliders are produced.
Also, how do we plan to clean up these debris? If we use non-monochromatic NE salvos, the debris would be non-monochromatic as well and so couldn't be able to be cleaned by simple xWSS flotillas.

Colliding MWSSes aren't required to be monophase. They can be delayed by any even number of ticks. If we require monochromaticity of the debris, then there's a requirement of another reaction that produces different-color glider.

[calcyman]

Two NE-directed gliders are produced.
Also, how do we plan to clean up these debris? If we use non-monochromatic NE salvos, the debris would be non-monochromatic as well and so couldn't be able to be cleaned by simple xWSS flotillas.

The ash from the blinker fuses, you mean? I'm suggesting to clear that in the naive way, using lots and lots of SW-directed slow gliders from the p1920 ECCA. The same technique also works to rebuild the blinker fuses that had been burned, 2 cells east of where they were originally.

That's why we want this arrangement of blinker fuses to be as small as is necessary to bootstrap a tape-reader and construction arm, which in turn is the reason for building the simplest universal constructor (the p1920 single-blinker construction arm) as soon as possible.

[googleplex]

snip

Colliding MWSSes aren't required to be monophase. They can be delayed by any even number of ticks. If we require monochromaticity of the debris, then there's a requirement of another reaction that produces different-color glider.

The 2 reactions I found were found relatively easily by hand. I'm sure an automated search of synchronized MWSS pairs would find some decent reactions.

It also should be noted that the MWSS construction arm can actually send gliders both NE and NW so we have options. This means that only the MWSS-G converter would have to be built with slow^2 gliders, and the actual p1920 construction arm can be built with a NW salvo.

[calcyman]

It also should be noted that the MWSS construction arm can actually send gliders both NE and NW so we have options. This means that only the MWSS-G converter would have to be built with slow^2 gliders, and the actual p1920 construction arm can be built with a NW salvo.

I'm not sure how NW gliders would help, because the floating island is to the NE of the location where the antiparallel LWSSes collide.

However, you're correct that the p1920 gun doesn't need to be built with slow^2 gliders; it can be built on the floating island, with the construction arm pointing SE and its slow output gliders aimed SW. That can build the ECCA, which can in turn build everything else.

[AlbertArmStain]

Concrete demonstration of these points:

Code: Select all

x = 2457, y = 1, rule = LifeSuper
3pA.3Q2.3M3.3M2.3M2.3M4.3M.3M.3M2.3M8.3M5.3M4.3M.3M.3M.3M4.3M3.3M.3M
2.3Q.3M3.3M2.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q2.3M3.3M2.3M2.3M4.3M.3M.3M
2.3M8.3M5.3M4.3M.3M.3M.3M4.3M3.3M.3M2.3Q.3M3.3M2.3pA.3Q2.3M3.3M2.3M2.
3M4.3M.3M.3M2.3M8.3M5.3M4.3M.3M.3M.3M4.3M3.3M.3M2.3Q.3M3.3M2.3pA.3Q5.
3M3.3pA.3Q5.3M3.3pA.3Q2.3M3.3M2.3M2.3M4.3M.3M.3M2.3M8.3M5.3M4.3M.3M.
3M.3M4.3M3.3M.3M2.3Q.3M3.3M2.3pA.3Q.3M7.3M.3M.3M.3M3.3M3.3M2.3M3.3M.
3M.3M.3M7.3M.3Q.3pA.3U.3S.3O.3W.3S.3O2.3M3.3M.3Q2.3M.3M3.3M4.3M.3M.3M
.3M4.3M5.3M8.3M2.3M.3M.3M4.3M2.3M2.3M3.3M2.3Q.3pA.3U.3S.3O.3W.3S.3O.
3W.3S.3O.3W2.3M3.3M.3Q2.3M.3M3.3M4.3M.3M.3M.3M4.3M5.3M8.3M2.3M.3M.3M
4.3M2.3M2.3M3.3M2.3Q.3pA2.3M3.3M.3Q2.3M.3M3.3M4.3M.3M.3M.3M4.3M5.3M8.
3M2.3M.3M.3M4.3M2.3M2.3M3.3M2.3Q.3pA.3U.3S.3O.3W.3S.3O.3W.3S.3O.3W2.
3M3.3M.3Q2.3M.3M3.3M4.3M.3M.3M.3M4.3M5.3M8.3M2.3M.3M.3M4.3M2.3M2.3M3.
3M2.3Q.3pA280.3M.3M8.3M2.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.
3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.3M7.3M.3M.3M.3M7.3W.
3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.
3M3.3pA.3Q.3M7.3M.3M.3M.3M7.3M.3M.3M.3M7.3W.3pA.3Q5.3M3.3pA.3Q5.3M3.
3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.
3M7.3M.3M.3M.3M7.3W.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q5.3M3.
3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.3Q.3M7.3M.3M.3M.3M7.3M.3M.3M.3M7.3W.3pA.
3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M
2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3Q.3M3.3M2.3pA.3M
7.3M5.3M8.3M2.3U.3pA.3Q.3M.3M2.6G.2G!

That doesn’t look easy to clean up, what’s the easiest?

[googleplex]

Here's another firing mechanism, both colors:

Code: Select all

x = 189, y = 51, rule = B3/S23
101bo$99bo3bo$b5o62b5o14b5o6bo17b5o$o4bo61bo4bo13bo4bo6bo4bo12bo4bo$5b
o66bo18bo6b5o13bo$o3bo62bo3bo14bo3bo26bo3bo$2bo66bo18bo30bo38$101bo$99b
o3bo$7b5o56b5o14b5o6bo17b5o62b5o$6bo4bo55bo4bo13bo4bo6bo4bo12bo4bo61b
o4bo$11bo60bo18bo6b5o13bo66bo$6bo3bo56bo3bo14bo3bo26bo3bo62bo3bo$8bo60b
o18bo30bo66bo!

There's an extra escaping glider but the resultant bi-block can be suppressed.

[calcyman]

Concrete demonstration of these points:

That doesn’t look easy to clean up, what’s the easiest?

See my earlier reply: just destroy the mess with a huge SW-directed slow salvo from the ECCA.

[N.B. by convention, whenever I talk about anything related to this project, I'm describing what happens only in the upper half-plane; the lower half-plane is just the mirror image.]

[AlbertArmStain]

See my earlier reply: just destroy the mess with a huge SW-directed slow salvo from the ECCA.

What about using 2c/4 flybys?
That way it doesn’t need an ECCA to reply on.

[calcyman]

See my earlier reply: just destroy the mess with a huge SW-directed slow salvo from the ECCA.

What about using 2c/4 flybys?
That way it doesn’t need an ECCA to reply on.

That would be more difficult to engineer, would involve constructing something at the other end to absorb the 2c/4 spaceships, and wouldn't solve the problem of rebuilding the blinker trails. Once you've consigned to rebuilding the blinker trails using gliders from a construction arm, there's no reason to not also use that for cleaning the ash.

[toroidalet]

Small improvement: the last 2 gliders of the 18-glider salvo can be replaced with an MWSS (EDIT: and we can remove one of the block-pulling gliders as well, so that's 15):

Code: Select all

x = 599, y = 583, rule = TripleLife
317.C$318.C$316.3C38$357.C$358.C$356.3C18$378.C$379.2C$378.2C18$389.C
$390.C$388.3C18$406.C$407.2C$406.2C18$416.C$417.2C$416.2C18$440.C$
441.C$439.3C18$469.C$470.C$468.3C18$490.C$491.C$489.3C25$515.C.C$516.
2C$516.C8$524.C.C$525.2C$525.C8$533.C.C$534.2C$534.C23$552.C.C$553.2C
$553.C8$571.C.C$572.2C$572.C13$580.C.C$581.2C$581.C4$.5C$C4.C$5.C$C3.
C$2.C4$2.A593.3E4$2.C$C3.C$5.C$C4.C$.5C4$581.C$581.2C$580.C.C13$572.C
$572.2C$571.C.C8$553.C$553.2C$552.C.C23$534.C$534.2C$533.C.C8$525.C$
525.2C$524.C.C8$516.C$516.2C$515.C.C25$489.3C$491.C$490.C18$468.3C$
470.C$469.C18$439.3C$441.C$440.C18$416.2C$417.2C$416.C18$406.2C$407.
2C$406.C18$388.3C$390.C$389.C18$378.2C$379.2C$378.C18$356.3C$358.C$
357.C38$316.3C$318.C$317.C!

They can be constructed to the left of the blinker tape and crash into an appropriate obstacle at the right end, or be constructed at the right end using slow^2 gliders from the area of the stopped puffers. We might be able to use a dirtier reaction that allows us to create fewer puffers (or puffers made using the construction arm rather than the fuses).

Inspired by this, here is a design that only uses 2 puffers at the cost of quadratic runtime and increasing the tape length:

Code: Select all

x = 2294, y = 957, rule = LifeHistory
1062.A$1055.A3.A2.A.A2.A$1055.5A.2A4.A$1056.A.A4.A3.A2$1063.3A$1044.
2A18.A$1044.2A7$1036.2A$1036.2A$1047.2A$1045.2A2.A$1044.A4.A7.2A.A$
1037.3A3.A3.2A8.A.2A.3A$1037.A2.2A5.A9.A.A3.A$1037.A4.A.A.A11.A3.A$
1028.2A7.A6.A$1028.2A8.A3.2A3$1056.2A$1056.2A$1031.2A$1031.2A$1045.3A
2$1035.2A8.A$1035.2A10.A$1043.3A2.A$1043.3A.2A$1045.3A$1046.A$1012.2A
$1012.2A3$1040.2A$1022.2A16.2A$1022.2A2$1004.2A$1004.2A20.2A$1026.2A
2$1032.2A$1032.2A$1007.2A$1007.2A3$1011.2A$1011.2A5$988.2A$988.2A3$
1016.2A$998.2A16.2A$998.2A2$980.2A$980.2A20.2A$1002.2A2$1008.2A$1008.
2A$983.2A$983.2A3$987.2A$987.2A5$964.2A$964.2A3$992.2A3.A$974.2A16.2A
3.2A$974.2A20.2A.A$995.2A2.A$956.2A36.3A.4A$956.2A20.2A13.2A2.A.A2.A$
978.2A13.3A.A.A.A$993.A.3A.2A$992.A.A2.4A$993.A3.A$959.2A32.A3.A$959.
2A19.2A12.A2.A$980.2A2$963.2A$963.2A$995.2A3$972.2A$940.2A30.2A$940.
2A48.2A$989.A2.A$988.2A2.A4.3A$989.2A2.A$950.2A38.4A$950.2A2$932.2A
40.A$932.2A20.2A5.2A9.2A.2A$954.2A5.A.A11.2A$959.4A8.A5.A14.2A$959.A
11.2A3.A15.2A$958.A.A11.3A.A$935.2A22.A12.3A$935.2A22.A13.A4.2A$973.
3A$975.A$981.2A$980.A.A$981.A3$963.2A$916.2A45.A.A$916.2A46.A$937.2A$
937.2A2$926.2A$926.2A2$908.2A$908.2A2$968.2A$968.2A2$911.2A36.A$911.
2A36.A$940.2A7.A$939.A2.A$915.2A22.A.A9.3A$915.2A23.A19.2A$960.2A3$
926.2A$892.2A31.A2.A$892.2A32.2A6$931.2A$884.2A45.A.A$884.2A46.A5$
887.2A$887.2A14.2A$903.2A2$891.2A19.2A.2A$891.2A19.2A.2A19.2A$936.2A
4$868.2A$868.2A27.2A$897.A.A$898.A29.2A$928.2A$878.2A$878.2A6.2A$885.
A2.A$860.2A24.A.A$860.2A25.A$917.2A$916.A.A$889.2A26.A$888.A2.A$863.
2A24.2A$863.2A34.2A$899.A.A$900.A$867.2A$867.2A5$844.2A$844.2A2$904.
2A$904.2A$854.2A$854.2A2$836.2A31.2A26.2A$836.2A31.2A25.A2.A$890.2A4.
A.A$890.2A5.A3.A$900.A.A$899.A2.A$839.2A28.2A29.2A$839.2A28.2A$873.3A
2$877.A$877.A$877.A3$867.2A$820.2A45.A.A$820.2A46.A$841.2A$841.2A2$
830.2A$830.2A2$812.2A$812.2A2$872.2A$872.2A2$298.2A515.2A36.A$291.2A
3.2B2AB514.2A36.A$290.B2AB2.4B544.2A7.A$291.2B3.6B.B539.A2.A47.2A$
292.2B2.10B513.2A22.A.A9.3A35.3A$291.2B2A11B6.2A8.2A495.2A23.A19.2A
26.A.2A$288.B.3B2A12B5.A8.B2AB539.2A11.A13.A$287.2A18B2.BA.A9.2B553.A
12.A3.2A3.A$287.2AB.15B3.B2A11.2B3.B548.A11.A$288.B3.18B12.4B.B2A500.
2A58.A.A$292.18B10.8B2A466.2A31.A2.A59.A$293.19B2.2B2.6B2AB.B467.2A
32.2A44.A13.A.A4.A$293.31B2A542.2A4.2A.2A$294.7B.24B542.2A20.4A$294.
6B2.28B547.A.A12.2A$293.7B.29B545.A3.A$293.6B.29B2A544.A2.2A$286.2A6.
9B7.4B.14B2A504.2A39.3A$287.A6.8B9.4B2.11B.B458.2A45.A.A39.A$287.A.AB
2.8B11.4B2.10B460.2A46.A$288.2AB2.7B13.14B533.2A11.A$290.9B15.14B532.
2A10.A.A$290.9B15.13B545.A.A$291.8B15.13B546.A$288.2B.8B15.8B.2B466.
2A95.2A$286.13B15.9B468.2A14.2A79.2A$286.13B15.10B483.2A66.2A$285.14B
15.11B549.A2.A$286.14B13.7B.4B470.2A19.2A.2A31.2A21.2A$285.10B2.B3A
11.8B2.3B470.2A19.2A.2A19.2A10.2A22.A$283.B.11B2.A3B9.8B4.B516.2A$
282.2A14B.A3B7.9B4.2A$282.2A29B.B3A2B4.A555.2A$283.29B.BA2BA2B3.A556.
2A$283.28B2.B2ABAB4.2A447.2A81.2A$287.24B.7B453.2A27.2A52.2A$287.2A
31B481.A.A$284.B.B2A6B2.2B2.19B482.A29.2A$283.2A8B10.18B511.2A25.2A$
283.2AB.4B11.11BA7B3.B457.2A75.2A$284.B3.2B11.4B2.3BABABAB3A3B.B2A
456.2A6.2A$289.2B9.4B2.2A3B4A4BA4B2A463.A2.A$288.B2AB7.4B3.2A8B3A4B.B
439.2A24.A.A$289.2A7.4B5.15B442.2A25.A$297.4B6.10B2.2B500.2A13.2A$
296.4B9.B.6B3.2B498.A.A13.2A$295.4B14.4B2.B2AB470.2A26.A$294.4B14.B2A
2B3.2A470.A2.A$293.4B16.2A452.2A24.2A69.2A$292.4B471.2A34.2A41.2A16.
2A$291.4B508.A.A40.2A$290.4B510.A$289.4B478.2A55.2A$288.4B479.2A55.2A
20.2A$287.4B559.2A$286.4B$285.4B567.2A$284.4B568.2A$283.4B461.2A81.2A
$282.4B462.2A81.2A$281.4B$280.4B524.2A$279.4B525.2A25.2A$278.4B476.2A
75.2A$277.4B477.2A$276.4B$275.4B461.2A31.2A26.2A$274.4B462.2A31.2A25.
A2.A$273.4B517.2A4.A.A9.2A$272.4B518.2A5.A3.A6.2A$271.4B529.A.A$270.
4B529.A2.A$269.4B470.2A28.2A29.2A34.2A$268.4B471.2A28.2A47.2A16.2A$
267.4B506.3A42.2A$266.4B$265.4B512.A22.2A$264.4B513.A22.2A20.2A$263.A
3B514.A44.2A$262.BABA$261.2B2A567.2A$260.4B24.2A481.2A59.2A$259.4B24.
B2A2B3.2A427.2A45.A.A33.2A$258.4B26.4B2.B2AB426.2A46.A34.2A$257.4B23.
B.6B3.2B448.2A$256.4B22.10B2.2B449.2A$255.4B5.2A16.11B2A2B514.2A$254.
4B5.B2AB4.A.2A.2AB2.12B2A3B.B434.2A75.2A$253.4B7.2B5.2A.ABABAB.18B2A
433.2A$252.4B3.B3.2B11.BA3B.15B.B2A$251.4B3.2AB.4B11.19B3.B416.2A$
250.4B4.2A8B10.18B420.2A$249.4B6.B.B2A6B2.2B2.19B493.2A$248.4B10.2A
31B481.2A10.2A$247.4B11.24B.7B482.2A$246.4B8.28B2.6B$245.4B9.27B2A.7B
424.2A36.A$244.4B9.2A25B2A2B.6B424.2A36.A40.2A$243.4B10.2A14B.4B7.BA
7B6.A447.2A7.A40.2A$240.6B12.B.11B2.4B9.8B4.3A446.A2.A$238.7B15.10B2.
4B11.8B2.A425.2A22.A.A9.3A18.2A$237.7B17.14B13.7B2.2A424.2A23.A19.2A
10.2A20.2A12.A$236.9B15.14B15.10B469.2A32.2A11.A.A2.2A7.2A$235.9B17.
13B15.8B517.A3.4A6.3A$234.10B17.13B15.8B520.A7.A.A.2A$233.4B.7B18.2B.
8B15.8B.2A434.2A76.2A.A10.2A$232.4B2.8B20.8B15.9B2A2B398.2A31.A2.A46.
2A28.A.A$231.4B3.9B18.9B15.13B398.2A32.2A47.2A19.2A8.A$230.4B4.5B.4B
16.10B15.14B501.2A$229.4B5.5B2.4B14.4B.7B13.14B$228.4B6.5B3.4B12.4B2.
8B11.4B2.4B3A3B484.2A$227.4B7.5B4.4B10.4B4.8B9.4B2.4BA3BA2B.B482.2A$
226.4B8.5B5.4B8.4B5.9B7.4B.2BA3BA4BA2B2A$225.4B9.5B6.4B6.4B5.6B.13B2A
2BA7BA3B2A433.2A$224.4B10.5B7.4B4.4B6.7B.11BA5BA5BA5B387.2A45.A.A$
223.4B11.5B8.4B2.4B8.6B2.9B2A2BABA12B387.2A46.A78.A$222.4B12.5B2.2A5.
4BABAB9.7B.10B2A3BA4BA3B463.2A23.3A23.A.2A.A$221.4B13.5B3.A5.4B2AB9.
20B3A5BA4B463.2A23.3A21.2A5.A$220.4B14.5B3.A.AB.6BA10.19B2.2B2.3BA5B.
B488.A$219.4B15.5B4.2AB.9B7.18B10.2B3A3B2A484.4A20.A10.2A$218.4B16.5B
6.11B.3B3.18B12.4B.B2A390.2A93.A2.2A18.A.5A4.2A$217.4B17.5B6.13B2AB.
15B2.4B11.2B3.B391.2A14.2A61.2A17.A24.2A$216.4B18.5B6.13B2A18B3.2A10.
2B412.2A61.2A14.A6.2A15.A.2A$215.2A2B19.5B6.15B.3B2A12B3.A10.B2AB489.
A2.2A2.3A16.A$214.ABAB20.5B3.7B2A3B2.4B2.2B2A11B5.3A8.2A400.2A19.2A.
2A31.2A31.A4.2A$213.3BA21.5B2.2A6B2A3B3.4B2.2B2.10B7.A410.2A19.2A.2A
19.2A10.2A30.A.A4.4A$212.4B22.5B2.2A11B4.6B3.6B.B465.2A42.2A6.A.A$
211.4B23.5B2.13B5.3B2AB2.4B514.A26.2A$210.4B24.5B.4B3.7B6.2B2A3.2B2AB
540.2A$209.4B25.9B5.5B.A6.4B4.2A$208.4B26.8B4.4B3.A.A6.4B489.2A$207.
4B27.7B5.2A6.2A7.4B434.2A52.2A$206.4B28.6B7.A16.4B433.A.A$205.4B29.5B
5.3A18.4B433.A29.2A$204.4B30.5B5.A21.4B462.2A25.2A29.2A$203.4B30.6B
28.4B488.2A29.2A12.2A$202.4B30.7B29.4B418.2A112.2A$201.4B30.8B30.4B
416.A2.A$200.4B30.9B451.A.A$199.4B30.4B.5B452.A78.2A$198.4B30.4B2.5B
482.2A13.2A31.A2.A$197.4B30.4B3.5B481.A.A13.2A32.2A$196.4B31.3B4.5B
454.2A26.A71.2A$195.4B32.2B5.5B453.A2.A96.A.A$194.4B40.5B454.2A98.A$
193.4B41.5B464.2A$192.4B42.5B464.A.A$191.4B43.5B465.A70.2A$190.4B44.
5B489.2A45.A.A$189.4B45.5B489.2A46.A$188.4B46.5B$187.4B47.5B$186.4B
48.5B91.11D$185.4B49.5B83.8D8.2D$184.4B50.5B81.2D13.2D.D392.2A$165.2A
16.4B51.5B79.2D14.D3.D392.2A14.2A$158.2A3.2B2AB14.4B52.5B94.D4.D408.
2A$157.B2AB2.4B14.4B53.5B93.D5.D369.2A$158.2B3.6B.B9.4B54.5B92.D6.D
369.2A25.2A19.2A.2A$159.2B2.10B6.4B55.5B90.2D7.D396.2A19.2A.2A19.2A$
158.15B5.4B7.2A47.5B89.D9.D441.2A$155.B.4B3A8B2A3.4B7.B2AB46.5B88.D
10.D$154.2A4BA4B4A3B2A2.4B9.2B47.5B88.D10.D362.2A$154.2AB.3B3ABABABA
3B2.4B11.2B3.B42.5B87.D11.D361.A2.A$155.B3.7BA11B11.4B.B2A41.5B86.D
12.D355.2A4.A.A$159.18B10.8B2A41.5B86.D12.D355.2A5.A3.A35.2A$160.19B
2.2B2.6B2AB.B42.5B85.D13.D365.A.A34.A.A$160.31B2A45.5B85.D13.D364.A2.
A35.A29.2A$161.7B.24B45.5B84.D14.D365.2A66.2A$155.2A4.BAB2AB2.28B41.
5B84.D14.D$156.A3.2BA2BAB.29B41.5B82.3D406.2A$155.A4.2B3AB.29B2A40.5B
77.5D408.A2.A$155.2A4.9B7.3BA.14B2A40.5B75.2D414.A.A$156.B4.8B9.3BA2.
11B.B41.5B73.2D417.A$155.3B2.8B11.3AB2.10B43.5B71.2D449.2A$155.4B.7B
13.14B44.5B70.D450.A.A$155.11B15.14B43.5B69.D424.2A26.A$156.10B15.13B
44.5B68.D424.A2.A$157.9B15.13B44.5B67.D426.2A$155.2B.8B15.8B.2B46.5B
66.D437.2A$153.13B15.8B49.5B65.D438.A.A$153.13B15.9B48.5B64.D440.A$
152.14B15.9B48.5B63.D$153.14B13.7B2.B2A46.5B63.D$152.10B2.4B11.8B2.BA
.A45.5B62.D$150.B.11B2.4B9.8B6.A45.5B60.2D$149.2A14B.4B7.9B6.2A44.5B
59.D$149.2A29B.6B51.5B54.7D$150.29B.7B51.5B51.3D$150.28B2.6B52.5B49.
2D$154.24B.7B52.5B47.2D802.A$154.2A31B51.5B45.2D462.2A341.2A$151.B.B
2A6B2.2B2.19B51.5B44.D464.2A340.2A$150.2A8B10.18B50.5B42.2D$150.2AB.
4B12.18B3.B46.5B41.D$151.B3.2B11.2AB3.15B.B2A45.5B40.D$156.2B9.A.AB2.
18B2A45.5B38.2D462.2A$155.B2AB8.A5.12B2A3B.B46.5B37.D463.A2.A$156.2A
8.2A6.11B2A2B49.5B36.D458.2A4.A.A$174.10B2.2B50.5B35.D459.2A5.A3.A$
176.B.6B3.2B49.5B34.D470.A.A$180.4B2.B2AB48.5B34.D469.A2.A$179.B2A2B
3.2A49.5B33.D471.2A$180.2A56.5B32.D$238.5B31.D$238.5B30.D$238.5B30.D$
238.5B29.D$238.5B28.D$238.5B27.D$238.5B26.D$269.D$268.D$267.D$267.D4$
.2D178.2A$4D176.4A$2D.2D175.2A.2A$2.2D178.2A4$43.5D175.5A$.4D37.D4.D
32.D100.4A37.A4.A$D3.D42.D31.2D99.A3.A42.A$4.D37.D3.D30.2D105.A37.A3.
A$D2.D40.D30.2D103.A2.A40.A$74.D$73.9D$75.D6.19D843.2A$76.2D866.2A$
44.A33.D145.A914.3A765.3A381.3A$79.D864.2A$80.D863.2A$80.D2$D2.D40.D
135.A2.A40.A$4.D37.D3.D137.A37.A3.A$D3.D42.D132.A3.A42.A$.4D37.D4.D
133.4A37.A4.A$43.5D175.5A4$2.2D178.2A$2D.2D175.2A.2A$4D176.4A$.2D178.
2A8$238.5B$238.5B$238.5B$238.5B$238.5B$238.5B$238.5B$180.2A56.5B$179.
B2A2B3.2A49.5B505.2A$180.4B2.B2AB48.5B504.A2.A$176.B.6B3.2B49.5B505.A
.A$174.10B2.2B50.5B495.2A5.A3.A$156.2A8.2A6.11B2A2B49.5B495.2A4.A.A$
155.B2AB8.A5.12B2A3B.B46.5B501.A2.A$156.2B9.A.AB2.18B2A45.5B502.2A$
151.B3.2B11.2AB3.15B.B2A45.5B$150.2AB.4B12.18B3.B46.5B$150.2A8B10.18B
50.5B$151.B.B2A6B2.2B2.19B51.5B509.2A340.2A$154.2A31B51.5B509.2A341.
2A$154.24B.7B52.5B851.A$150.28B2.6B52.5B$150.29B.7B51.5B$149.2A29B.6B
51.5B$149.2A14B.4B7.9B6.2A44.5B$150.B.11B2.4B9.8B6.A45.5B$152.10B2.4B
11.8B2.BA.A45.5B$153.14B13.7B2.B2A46.5B$152.14B15.9B48.5B$153.13B15.
9B48.5B505.A$153.13B15.8B49.5B504.A.A$155.2B.8B15.8B.2B46.5B504.2A$
157.9B15.13B44.5B494.2A$156.10B15.13B44.5B493.A2.A$155.11B15.14B43.5B
494.2A26.A$155.4B.7B13.14B44.5B521.A.A$155.3B2.8B11.3AB2.10B43.5B522.
2A$156.B4.8B9.3BA2.11B.B41.5B492.A$155.2A4.9B7.3BA.14B2A40.5B491.A.A$
155.A4.2B3AB.29B2A40.5B490.A2.A$156.A3.2BA2BAB.29B41.5B491.2A$155.2A
4.BAB2AB2.28B41.5B$161.7B.24B45.5B465.2A66.2A$160.31B2A45.5B464.A2.A
35.A29.2A$160.19B2.2B2.6B2AB.B42.5B465.A.A34.A.A$159.18B10.8B2A41.5B
455.2A5.A3.A35.2A$155.B3.7BA11B11.4B.B2A41.5B455.2A4.A.A$154.2AB.3B3A
BABABA3B2.4B11.2B3.B42.5B461.A2.A$154.2A4BA4B4A3B2A2.4B9.2B47.5B462.
2A$155.B.4B3A8B2A3.4B7.B2AB46.5B$158.15B5.4B7.2A47.5B541.2A$159.2B2.
10B6.4B55.5B496.2A19.2A.2A19.2A$158.2B3.6B.B9.4B54.5B469.2A25.2A19.2A
.2A$157.B2AB2.4B14.4B53.5B469.2A$158.2A3.2B2AB14.4B52.5B508.2A$165.2A
16.4B51.5B492.2A14.2A$184.4B50.5B492.2A$185.4B49.5B$186.4B48.5B$187.
4B47.5B$188.4B46.5B$189.4B45.5B489.2A46.A$190.4B44.5B489.2A45.A.A$
191.4B43.5B465.A70.2A$192.4B42.5B464.A.A$193.4B41.5B464.2A$194.4B40.
5B454.2A98.A$195.4B32.2B5.5B453.A2.A96.A.A$196.4B31.3B4.5B454.2A26.A
71.2A$197.4B30.4B3.5B481.A.A13.2A32.2A$198.4B30.4B2.5B482.2A13.2A31.A
2.A$199.4B30.4B.5B452.A78.2A$200.4B30.9B451.A.A$201.4B30.8B30.4B416.A
2.A$202.4B30.7B29.4B418.2A112.2A$203.4B30.6B28.4B488.2A29.2A12.2A$
204.4B30.5B5.A21.4B462.2A25.2A29.2A$205.4B29.5B5.3A18.4B433.A29.2A$
206.4B28.6B7.A16.4B433.A.A$207.4B27.7B5.2A6.2A7.4B434.2A52.2A$208.4B
26.8B4.4B3.A.A6.4B489.2A$209.4B25.9B5.5B.A6.4B4.2A$210.4B24.5B.4B3.7B
6.2B2A3.2B2AB540.2A$211.4B23.5B2.13B5.3B2AB2.4B514.A26.2A$212.4B22.5B
2.2A11B4.6B3.6B.B465.2A42.2A6.A.A$213.3BA21.5B2.2A6B2A3B3.4B2.2B2.10B
7.A410.2A19.2A.2A19.2A10.2A30.A.A4.4A$214.ABAB20.5B3.7B2A3B2.4B2.2B2A
11B5.3A8.2A400.2A19.2A.2A31.2A31.A4.2A$215.2A2B19.5B6.15B.3B2A12B3.A
10.B2AB489.A2.2A2.3A16.A$216.4B18.5B6.13B2A18B3.2A10.2B412.2A61.2A14.
A6.2A15.A.2A$217.4B17.5B6.13B2AB.15B2.4B11.2B3.B391.2A14.2A61.2A17.A
24.2A$218.4B16.5B6.11B.3B3.18B12.4B.B2A390.2A93.A2.2A18.A.5A4.2A$219.
4B15.5B4.2AB.9B7.18B10.2B3A3B2A484.4A20.A10.2A$220.4B14.5B3.A.AB.6BA
10.19B2.2B2.3BA5B.B488.A$221.4B13.5B3.A5.4B2AB9.20B3A5BA4B463.2A23.3A
21.2A5.A$222.4B12.5B2.2A5.4BABAB9.7B.10B2A3BA4BA3B463.2A23.3A23.A.2A.
A$223.4B11.5B8.4B2.4B8.6B2.9B2A2BABA12B387.2A46.A78.A$224.4B10.5B7.4B
4.4B6.7B.11BA5BA5BA5B387.2A45.A.A$225.4B9.5B6.4B6.4B5.6B.13B2A2BA7BA
3B2A433.2A$226.4B8.5B5.4B8.4B5.9B7.4B.2BA3BA4BA2B2A$227.4B7.5B4.4B10.
4B4.8B9.4B2.4BA3BA2B.B482.2A$228.4B6.5B3.4B12.4B2.8B11.4B2.4B3A3B484.
2A$229.4B5.5B2.4B14.4B.7B13.14B$230.4B4.5B.4B16.10B15.14B501.2A$231.
4B3.9B18.9B15.13B398.2A32.2A47.2A19.2A8.A$232.4B2.8B20.8B15.9B2A2B
398.2A31.A2.A46.2A28.A.A$233.4B.7B18.2B.8B15.8B.2A434.2A76.2A.A10.2A$
234.10B17.13B15.8B520.A7.A.A.2A$235.9B17.13B15.8B517.A3.4A6.3A$236.9B
15.14B15.10B469.2A32.2A11.A.A2.2A7.2A$237.7B17.14B13.7B2.2A424.2A23.A
19.2A10.2A20.2A12.A$238.7B15.10B2.4B11.8B2.A425.2A22.A.A9.3A18.2A$
240.6B12.B.11B2.4B9.8B4.3A446.A2.A$243.4B10.2A14B.4B7.BA7B6.A447.2A7.
A40.2A$244.4B9.2A25B2A2B.6B424.2A36.A40.2A$245.4B9.27B2A.7B424.2A36.A
$246.4B8.28B2.6B$247.4B11.24B.7B482.2A$248.4B10.2A31B481.2A10.2A$249.
4B6.B.B2A6B2.2B2.19B493.2A$250.4B4.2A8B10.18B420.2A$251.4B3.2AB.4B11.
19B3.B416.2A$252.4B3.B3.2B11.BA3B.15B.B2A$253.4B7.2B5.2A.ABABAB.18B2A
433.2A$254.4B5.B2AB4.A.2A.2AB2.12B2A3B.B434.2A75.2A$255.4B5.2A16.11B
2A2B514.2A$256.4B22.10B2.2B449.2A$257.4B23.B.6B3.2B448.2A$258.4B26.4B
2.B2AB426.2A46.A34.2A$259.4B24.B2A2B3.2A427.2A45.A.A33.2A$260.4B24.2A
481.2A59.2A$261.2B2A567.2A$262.BABA$263.A3B514.A44.2A$264.4B513.A22.
2A20.2A$265.4B512.A22.2A$266.4B$267.4B506.3A42.2A$268.4B471.2A28.2A
47.2A16.2A$269.4B470.2A28.2A29.2A34.2A$270.4B529.A2.A$271.4B529.A.A$
272.4B518.2A5.A3.A6.2A$273.4B517.2A4.A.A9.2A$274.4B462.2A31.2A25.A2.A
$275.4B461.2A31.2A26.2A$276.4B$277.4B477.2A$278.4B476.2A75.2A$279.4B
525.2A25.2A$280.4B524.2A$281.4B$282.4B462.2A81.2A$283.4B461.2A81.2A$
284.4B568.2A$285.4B567.2A$286.4B$287.4B559.2A$288.4B479.2A55.2A20.2A$
289.4B478.2A55.2A$290.4B510.A$291.4B508.A.A40.2A$292.4B471.2A34.2A41.
2A16.2A$293.4B16.2A452.2A24.2A69.2A$294.4B14.B2A2B3.2A470.A2.A$295.4B
14.4B2.B2AB470.2A26.A$296.4B9.B.6B3.2B498.A.A13.2A$297.4B6.10B2.2B
500.2A13.2A$289.2A7.4B5.15B442.2A25.A$288.B2AB7.4B3.2A8B3A4B.B439.2A
24.A.A$289.2B9.4B2.2A3B4A4BA4B2A463.A2.A$284.B3.2B11.4B2.3BABABAB3A3B
.B2A456.2A6.2A$283.2AB.4B11.11BA7B3.B457.2A75.2A$283.2A8B10.18B511.2A
25.2A$284.B.B2A6B2.2B2.19B482.A29.2A$287.2A31B481.A.A$287.24B.7B453.
2A27.2A52.2A$283.28B2.B2ABAB4.2A447.2A81.2A$283.29B.BA2BA2B3.A556.2A$
282.2A29B.B3A2B4.A555.2A$282.2A14B.A3B7.9B4.2A$283.B.11B2.A3B9.8B4.B
516.2A$285.10B2.B3A11.8B2.3B470.2A19.2A.2A19.2A10.2A22.A$286.14B13.7B
.4B470.2A19.2A.2A31.2A21.2A$285.14B15.11B549.A2.A$286.13B15.10B483.2A
66.2A$286.13B15.9B468.2A14.2A79.2A$288.2B.8B15.8B.2B466.2A95.2A$291.
8B15.13B546.A$290.9B15.13B545.A.A$290.9B15.14B532.2A10.A.A$288.2AB2.
7B13.14B533.2A11.A$287.A.AB2.8B11.4B2.10B460.2A46.A$287.A6.8B9.4B2.
11B.B458.2A45.A.A39.A$286.2A6.9B7.4B.14B2A504.2A39.3A$293.6B.29B2A
544.A2.2A$293.7B.29B545.A3.A$294.6B2.28B547.A.A12.2A$294.7B.24B542.2A
20.4A$293.31B2A542.2A4.2A.2A$293.19B2.2B2.6B2AB.B467.2A32.2A44.A13.A.
A4.A$292.18B10.8B2A466.2A31.A2.A59.A$288.B3.18B12.4B.B2A500.2A58.A.A$
287.2AB.15B3.B2A11.2B3.B548.A11.A$287.2A18B2.BA.A9.2B553.A12.A3.2A3.A
$288.B.3B2A12B5.A8.B2AB539.2A11.A13.A$291.2B2A11B6.2A8.2A495.2A23.A
19.2A26.A.2A$292.2B2.10B513.2A22.A.A9.3A35.3A$291.2B3.6B.B539.A2.A47.
2A$290.B2AB2.4B544.2A7.A$291.2A3.2B2AB514.2A36.A$298.2A515.2A36.A2$
872.2A$872.2A2$812.2A$812.2A2$830.2A$830.2A2$841.2A$841.2A$820.2A46.A
$820.2A45.A.A$867.2A3$877.A$877.A$877.A2$873.3A$839.2A28.2A$839.2A28.
2A29.2A$899.A2.A$900.A.A$890.2A5.A3.A$890.2A4.A.A$836.2A31.2A25.A2.A$
836.2A31.2A26.2A2$854.2A$854.2A$904.2A$904.2A2$844.2A$844.2A5$867.2A$
867.2A$900.A$899.A.A$863.2A34.2A$863.2A24.2A$888.A2.A$889.2A26.A$916.
A.A$917.2A$860.2A25.A$860.2A24.A.A$885.A2.A$878.2A6.2A$878.2A$928.2A$
898.A29.2A$897.A.A$868.2A27.2A$868.2A4$936.2A$891.2A19.2A.2A19.2A$
891.2A19.2A.2A2$903.2A$887.2A14.2A$887.2A5$884.2A46.A$884.2A45.A.A$
931.2A6$892.2A32.2A$892.2A31.A2.A$926.2A3$960.2A$915.2A23.A19.2A$915.
2A22.A.A9.3A$939.A2.A$940.2A7.A$911.2A36.A$911.2A36.A2$968.2A$968.2A
2$908.2A$908.2A2$926.2A$926.2A2$937.2A$937.2A$916.2A46.A$916.2A45.A.A
$963.2A3$981.A$980.A.A$981.2A$975.A$973.3A$935.2A22.A13.A4.2A$935.2A
22.A12.3A$958.A.A11.3A.A$959.A11.2A3.A15.2A$959.4A8.A5.A14.2A$954.2A
5.A.A11.2A$932.2A20.2A5.2A9.2A.2A$932.2A40.A2$950.2A$950.2A38.4A$989.
2A2.A$988.2A2.A4.3A$989.A2.A$940.2A48.2A$940.2A30.2A$972.2A3$995.2A$
963.2A$963.2A2$980.2A$959.2A19.2A12.A2.A$959.2A32.A3.A$993.A3.A$992.A
.A2.4A$993.A.3A.2A$978.2A13.3A.A.A.A$956.2A20.2A13.2A2.A.A2.A$956.2A
36.3A.4A$995.2A2.A$974.2A20.2A.A$974.2A16.2A3.2A$992.2A3.A3$964.2A$
964.2A5$987.2A$987.2A3$983.2A$983.2A$1008.2A$1008.2A2$1002.2A$980.2A
20.2A$980.2A2$998.2A$998.2A16.2A$1016.2A3$988.2A$988.2A5$1011.2A$
1011.2A3$1007.2A$1007.2A$1032.2A$1032.2A2$1026.2A$1004.2A20.2A$1004.
2A2$1022.2A$1022.2A16.2A$1040.2A3$1012.2A$1012.2A$1046.A$1045.3A$
1043.3A.2A$1043.3A2.A$1035.2A10.A$1035.2A8.A2$1045.3A$1031.2A$1031.2A
$1056.2A$1056.2A3$1028.2A8.A3.2A$1028.2A7.A6.A$1037.A4.A.A.A11.A3.A$
1037.A2.2A5.A9.A.A3.A$1037.3A3.A3.2A8.A.2A.3A$1044.A4.A7.2A.A$1045.2A
2.A$1047.2A$1036.2A$1036.2A7$1044.2A$1044.2A18.A$1063.3A2$1056.A.A4.A
3.A$1055.5A.2A4.A$1055.A3.A2.A.A2.A$1062.A!

The gap between return LWSSes from 2 successive blocks is 768 generations. Then, it passes through something like the LWSS bouncer (which would probably be p256 with a p512 component somewhere else), which sends it through some other circuits to make it into a binary pair and send another 3-XWSS group back out. I did not make any of that circuitry, so I have no idea if it is an improvement over the 15-puffer method. It could be improved if there is a 2-XWSS or 3-XWSS with better timing salvo, or one that works directly off of the traffic light or returns an MWSS instead.

If you want to, you could use 4 puffers instead, giving a gap of 384 generations, which reduces the bounding box of the tape (but not population), and may make better circuitry (probably not?). You can also shift one of the puffer pairs and blinker lines an even number of cells, which would shift the delay by 8, to possibly shrink the receiving circuitry.

EDIT2:
An extra blinker at the end of the ignition reduces the cleanup and coincidentally moves the right amount in a traffic light:

Code: Select all

x = 74, y = 5, rule = LifeSuper
72.2M$71.Q.M$3M8.3M.3M8.3M2.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.Q$71.Q.M$72.
2M!

You could use this to build the blinker fuse from both ends, but that doesn't seem as useful.
This one doesn't leave a blinker behind but cleans it up more:

Code: Select all

x = 72, y = 5, rule = LifeSuper
70.2M$69.Q.M$3M6.3M.3M8.3M2.3pA.3Q5.3M3.3pA.3Q5.3M3.3pA.Q$69.Q.M$70.
2M!

These are actually very useless—the top one only removes the doves and beehives, which should be made up for by the gliders to turn the traffic light back into a blinker, and the bottom doesn't clean it up enough to earn the blinker back.

EDIT3: Yet another problem has emerged with my design: the guns for the 3-XWSS salvo, in addition to having to be one-sided, have to be constructed with slow^2 gliders. The LWSS smasher does not have to be, but then the mystery circuitry will be very far away from either it or the glider stream (it is better for the LWSS smasher to be pointed the other direction, so the gliders head to the left instead). This is not a problem, because the MWSS pairs can be moved, but it might create an infinite feedback loop where the 3-XWSS gun and LWSS smasher have to be put beyond the main fuse, which makes the main fuse longer, which increases the distance of the blob in the sky and the distance the circuitry has to constructed at, which makes the main fuse longer.
In any case, it seems unlikely that it will be cheaper than the 15-puffer solution.

[HartmutHolzwart]

Just a remark: Even an unidimensional puffer would be very impressive!

[calcyman]

Small improvement: the last 2 gliders of the 18-glider salvo can be replaced with an MWSS (EDIT: and we can remove one of the block-pulling gliders as well, so that's 15):

I trawled through my library of slow-salvo MWSS syntheses, and managed to find a clean solution with 15 gliders (like yours) but requiring no cleanup spaceships:

Code: Select all

#C [[ ZOOM 1 ]]
x = 261, y = 543, rule = TripleLife
2.C$3.C$.3C18$.C$2.C$3C18$42.C$43.C$41.3C19$46.C.C$47.2C$47.C18$59.C.
C$60.2C$60.C17$90.C$91.C$89.3C18$121.C$122.C$120.3C18$141.C$142.C$
140.3C18$152.C$153.C$151.3C25$177.C.C$178.2C$178.C8$186.C.C$187.2C$
187.C8$195.C.C$196.2C$196.C23$214.C.C$215.2C$215.C8$233.C.C$234.2C$
234.C13$242.C.C$243.2C$243.C12$258.3E12$243.C$243.2C$242.C.C13$234.C$
234.2C$233.C.C8$215.C$215.2C$214.C.C23$196.C$196.2C$195.C.C8$187.C$
187.2C$186.C.C8$178.C$178.2C$177.C.C25$151.3C$153.C$152.C18$140.3C$
142.C$141.C18$120.3C$122.C$121.C18$89.3C$91.C$90.C17$60.C$60.2C$59.C.
C18$47.C$47.2C$46.C.C19$41.3C$43.C$42.C18$3C$2.C$.C18$.3C$3.C$2.C!

[googleplex]

Improved seed for the p1152 puffer:

Code: Select all

x = 58, y = 56, rule = B3/S23
16$6b2o$6b2o3$12b2o$12bobo$13bo6$12b2o$11bo2bo$11bobo$12bo3b2o$16b2o6$
19bo$13bo4bobo$13bo4bobo$13bo5bo$27b2o$27b2o$23b2o$22bo2bo$19b2o2b2o$
18bobo$20bo!

This time the trigger glider is going from the correct direction, and it doesn't need 2 (expensive!) eaters.

The topmost block serves only to absorb an escaping glider, so it might be possible to slightly optimize the seed by replacing it with another suitable still life/blinker

[Pavgran]

The topmost block serves only to absorb an escaping glider, so it might be possible to slightly optimize the seed by replacing it with another suitable still life/blinker

It might be possible to absorb an escaping glider with previous puffer's ash.

[calcyman]

Improved seed for the p1152 puffer:

Great discovery!

How can we most easily fire down the puffer from behind? A pair of synchronised gliders works (discovered by dvgrn here: viewtopic.php?f=2&t=3347&start=50#p60527 ), although you'll also need a third synchronised glider to remove the NW-escaping glider:

Code: Select all

x = 252, y = 254, rule = B3/S23
248bobo$248bo2bo$248bobo$233b2o$232bobo$232b3o13bo$231bo2bo11b2obo$
233bo12b2obo$224b2o7bo12bo3bo$224b2o20b4o$231bo15b3o$234bo$231bo2bo$
233b3o$233b3o$231b2o2bo$216b2o11bo4bo$216b2o10bo4b2o$228bob2o$229bo$
244b2o$231b3o10b2o2$229b2o$208b2o19bo4bo$208b2o19bo$230bo2bo$232bo$
236b2o$236b2o$211b2o$211b2o3$215b2o$215b2o2$234bo2$230bo$192b2o$192b2o
40bob3o$234bob3o$227b2o8bo$227b2ob3o3bo$202b2o24bo6bo$202b2o24bobobobo
$233bo$184b2o$184b2o20b2o$206b2o3$216b3o$187b2o27b2o$187b2o19b2o$208b
2o$225b3o$191b2o31b2o3bo$191b3ob7o2bo18b2o2bobo3b3o$193b2o2b2o4b2o19bo
5bo$194bo2b2o2bo23b2o2bo$195b7o21b3o3bo$197b3o23bo$168b2o53bo$168b2o$
219b3o3b3o2$196b2o25bo$178b2o15bo2bo24bo$178b2o15bobo25bo$196bo$160b2o
$160b2o2$220b2o$220b2o$197b2ob2o$163b2o31b2o3b2o$163b2o31b3o$196b3o$
196b3o$167b2o28bobo$142b3o22b2o29b2o12b2o$144bo67b2o$143bo2$178b2o$
144b2o31bo2bo$144b2o32b2o$201b2o$200bobo$201bo$118b3o$120bo$119bo63b2o
$136b2o45bobo$136b2o46bo5$139b2o$139b2o14b2o$155b2o2$143b2o19b2ob2o$
143b2o19b2ob2o19b2o$188b2o4$120b2o$120b2o27b2o$149bobo$150bo29b2o$180b
2o$130b2o$130b2o6b2o$137bo2bo$112b2o24bobo$112b2o25bo$169b2o$168bobo$
141b2o26bo$140bo2bo$115b2o24b2o$115b2o34b2o$151bobo$152bo$119b2o$119b
2o5$96b2o$96b2o2$156b2o$156b2o$106b2o$106b2o2$88b2o31b2o26b2o$88b2o31b
2o25bo2bo$142b2o4bobo$142b2o5bo3bo$152bobo$151bo2bo$91b2o28b2o29b2o$
91b2o28b2o$125b3o2$129bo$129bo$129bo3$119b2o$72b2o45bobo$72b2o46bo$93b
2o$93b2o2$82b2o$82b2o2$64b2o$64b2o2$124b2o$124b2o2$67b2o36bo$67b2o36bo
$96b2o7bo$95bo2bo$71b2o22bobo9b3o$71b2o23bo19b2o$116b2o3$82b2o$48b2o
31bo2bo$48b2o32b2o6$87b2o$87bobo$88bo6$59b2o$59b2o2$68b2ob2o$19bo48b2o
b2o19b2o$18bobo23b2o46b2o$18bo2bo5b2o14bo2bo$2b2o15b2o5bo2bo14b2o$2b2o
23b2o3$35b2ob2o$b2o32b2ob2o14bo29b2o$o2bo17b2o30bobo28b2o$obo18b2o29bo
2bo$bo34b2o15b2o$36b2o6$29bo13b2o21b2o$29bo13b2o20bo2bo$29bo36b2o6$29b
2o$29b2o15b2o$45bo2bo13b2o$46bobo13b2o$47bo4$60b2o$60b2o$70b3o$63b2o$
62bobo3bo5bo$61bobo4bo5bo$62bo5bo5bo2$70b3o2$59b3o2$57bo5bo$57bo5bo$
57bo5bo2$59b3o!

The SE-escaping gliders aren't a problem; if we shut down all of the puffers using the same mechanism in the same order that we created them (most probably using a seed for precise synchronisation), then they'll collide with the x-axis in the same pattern as the tape-reading salvo, thereby cleanly annihilating.

Note also that the tape-reading mechanism is already a BSRD: once we fire the gliders to shoot down the puffers, we'll still subsequently receive many hundreds of thousands of bits from the tape which can be used for building the Corderabsorbers and 2EC fleets.

[googleplex]

The SE-escaping gliders aren't a problem; if we shut down all of the puffers using the same mechanism in the same order that we created them (most probably using a seed for precise synchronisation), then they'll collide with the x-axis in the same pattern as the tape-reading salvo, thereby cleanly annihilating.

Is it possible to build the puffers close enough to each other the debris from one will take out the rest in a chain reaction, without creating any NW or NE gliders?

I'd also like to create a script which can, if given an applicable slow salvo, create the 1d fuse trails that make it. However, I'm not quite certain in my golly scripting skill ability to make such a script.