x = 13, y = 24, rule = B3/S23
2bo$obo$b2o3$5bo$6bo$4b3o2$4bo$4b2o$3bobo5$7bo$7b2o$6bobo3bo$10b2o$11b
2o$4bo$4b2o$3bobo!
x = 13, y = 24, rule = B3/S23
2bo$obo$b2o3$5bo$6bo$4b3o2$4bo$4b2o$3bobo5$7bo$7b2o$6bobo3bo$10b2o$11b
2o$4bo$4b2o$3bobo!
x = 158, y = 211, rule = LifeHistory
.A$2.A151.A$3A141.A9.A.A$145.A8.2A$143.3A$147.2A$146.2A$148.A18$136.
2A$135.A.A$59.A77.A$59.A.A$59.2A9$44.2A$43.2A$40.2A3.A$41.2A$40.A23$
59.A.A94.A$59.2A93.2A$60.A94.2A4$132.A$122.A.A7.2A$123.2A6.A.A$123.A
11.3A$135.A$136.A13$26.A.A2.2A$27.2A.2A$27.A4.A22$28.2A$29.2A$28.A13$
37.A118.A$38.A116.A$36.3A116.3A12$59.A$58.A$58.3A2$59.A$58.2A$58.A.A
15$136.A.A$137.2A$137.A$135.A$135.2A$134.A.A2$31.2A$32.2A$31.A$137.A$
136.2A$136.A.A18$16.A$14.A.A$15.2A4$59.A$59.A.A$59.2A5$40.2A$39.2A$
36.2A3.A$37.2A$36.A!
simeks wrote:A few more still lifes in 4 gliders:...
Goldtiger997 wrote:simeks wrote:A few more still lifes in 4 gliders:...
Great work simeks! Is this the result of a new search program? It does not fit with any search programs that I know of. Is the result here from the same program (if so it has a lot of versatility)?
simeks wrote:Thanks! It's not really a search program, but as you correctly guessed, I got curious if that hive/longboat constellation you linked to could be built with 4 gliders.
I threw some code together in about an hour to look for a solution, and then I thought maybe I cound find some new still lifes synthesis with it... My GoLGrid library makes it pretty easy to write something like this, and to identify strict still lifes I already had some code I could borrow from this project.
x = 941, y = 443, rule = LifeHistory
445.A$443.2A$444.2A6$721.A.A$412.A308.2A$413.A308.A$411.3A$A906.A.A$.
2A904.2A$2A906.A5$125.A$124.A195.A.A$119.2A3.3A193.2A$120.2A199.A$
119.A666.A$426.A360.A$426.A.A356.3A$118.2A306.2A$117.A.A$119.A819.2A$
21.A.A284.3A627.A.A$22.2A51.2A190.A40.A112.3A78.A244.A189.A$22.A53.A
189.A.A34.3A3.A113.A79.2A2.2A237.A.A41.A145.A$27.A46.A92.2A97.2A37.A
116.A32.A46.2A2.2A181.A56.A.A41.2A2.3A138.A$27.A.A44.2A92.A2.A92.2A
38.A54.2A.2A90.A.A51.A41.A.2A92.2A41.A.A55.A41.A.A2.A45.2A.2A89.A$27.
2A46.A92.A.A.A92.A94.A.A.A90.2A93.2A.3A90.A2.2A.A36.2A53.3A48.A43.A.A
.A89.A$73.A95.A.A91.A96.A2.A93.2A.A35.A59.A90.A.A.2A90.A95.2A2.A88.A$
73.2A95.A92.2A96.2A94.A.2A36.2A56.2A31.A59.A94.2A98.2A40.A46.2A$496.
2A91.2A4.A94.A192.A.A$507.A80.2A3.A.A93.2A193.2A$322.2A182.2A86.2A93.
A.A$321.2A183.A.A381.A$323.A564.2A$889.2A$221.A368.3A$211.3A5.2A371.A
$213.A6.2A369.A210.3A$212.A589.A$803.A$107.2A109.2A$108.2A108.A.A663.
3A$107.A110.A667.A$885.A5$31.2A687.2A$31.A.A686.A.A$31.A688.A$233.3A$
233.A$234.A364.2A$599.A.A$599.A38$816.A.A$816.2A$817.A6$214.A$215.A$
213.3A$100.A.A$101.2A$101.A2$591.A$592.A$25.A.A562.3A$26.2A577.A$26.A
576.2A$604.2A$518.A$518.A.A168.A206.3A$518.2A167.A.A201.3A2.A$363.2A
323.2A107.A43.2A50.A3.A$19.A247.A51.A42.A.A93.2A94.2A240.A43.A.A49.A$
20.A245.A.A50.A.A40.A54.2A38.A2.A41.A51.A.A41.A144.A46.2A4.3A41.A97.
2A$18.3A3.A45.A.2A94.A97.A.A50.2A42.A54.2A37.A.A43.2A51.A39.A.A47.2A
3.A90.A.A46.2A46.2A97.A$23.A46.2A.A70.A.A20.A.A.2A91.2A.A92.3A54.A5.
2A30.2A.A43.2A48.4A41.2A47.A.A.A.A89.A2.A.2A41.A50.2A92.2A.A.A$23.3A
47.A.2A59.A7.2A20.A2.A.A52.2A3.3A31.A2.A92.A62.2A32.A94.A.A94.A.A.A
90.2A3.A92.A.A92.A2.2A$73.A2.A59.A.A6.A21.2A2.A53.2A2.A33.A.A57.2A33.
A.A63.A29.A.A94.A96.A2.A93.3A52.2A41.A90.A.A$74.2A60.2A33.2A51.A5.A
33.A58.A.A33.A94.2A94.2A97.2A94.A53.2A42.2A89.2A$315.A7.A175.2A98.3A
199.A$314.2A182.A.A100.A294.A$141.A172.A.A183.A99.A294.2A$140.2A753.A
.A$140.A.A3$424.2A267.2A$395.2A26.2A269.2A202.2A$396.2A27.A267.A204.A
.A$395.A502.A$699.2A$317.2A379.2A$316.2A382.A$318.A2$201.2A282.2A211.
3A$202.2A282.2A210.A$13.2A186.A283.A213.A$12.A.A$14.A43$383.A$381.A.A
$382.2A12$688.A$228.A.A455.A.A$228.2A457.2A$229.A2$317.A567.A$316.A
569.2A$316.3A566.2A$122.2A578.A$123.2A2.3A87.2A393.A89.A.A83.A$11.A4.
A105.A4.A88.A.A382.A8.2A84.2A4.2A82.2A$9.A.A5.2A56.A52.A42.2A45.A47.A
285.A46.A.A9.2A34.A47.A.A45.A43.2A$10.2A4.2A56.A.A93.A.A50.A41.A.A
129.A57.2A2.2A90.A.A46.2A44.A.A48.A44.A.A97.2A95.2A$73.A2.A93.A51.2A
42.A.A129.A56.A4.A90.A2.A41.A49.A2.A92.A2.A95.A2.A33.2A58.A.A$73.3A
95.A50.A.A43.A52.2A35.2A36.3A57.4A92.3A39.A.A50.3A50.2A41.2A.A41.A52.
A2.A32.A.A58.A$71.2A95.4A92.4A53.A.A33.A2.A.2A231.2A102.A.A43.A42.2A
49.2A.2A35.A55.2A.A.A$14.2A54.A2.A93.A95.A51.A5.A36.A.A.A.A91.2A96.3A
92.3A49.A43.A.A39.A.A48.A.A42.3A50.A2.2A$13.A.A55.A.A55.2A36.A.A93.A.
A47.2A44.A2.A.A90.A.A95.A2.A92.A2.A93.A.A49.2A38.A.A42.A50.A.A$15.A
56.A55.2A38.2A94.2A48.2A46.2A92.A96.2A43.2A50.2A95.2A49.A.A38.A44.A
49.2A$121.3A6.A374.A.A91.2A197.A$123.A372.A.A7.2A90.A$122.A302.A71.2A
7.A5.A$317.2A104.2A72.A12.2A$31.2A284.A.A98.A5.2A85.2A375.3A$31.A.A
170.A112.A101.2A467.A$31.A172.2A212.2A469.A$203.A.A4$799.2A$798.2A$
534.3A263.A$534.A$535.A54$525.A$525.A.A$525.2A4$15.A.A$16.2A$16.A2$
392.A397.A82.A.A$390.A.A398.2A81.2A$391.2A397.2A5.A76.A$705.A89.2A$
107.A.A595.A.A88.2A$108.2A595.2A93.A$108.A690.A$213.A201.3A381.3A$
214.2A199.A$74.A138.2A93.A107.A230.2A2.2A90.2A2.2A93.2A$73.A.A233.2A
240.2A94.A4.A90.A4.A93.A.A57.A$73.A2.A45.A139.2A44.2A100.2A46.2A40.2A
4.2A43.A.A.2A47.2A42.4A92.4A91.A4.A55.2A$71.2A.2A40.A4.A140.A.A.2A92.
A42.2A6.2A41.2A.A2.A38.A.A3.2A46.A.A47.A.A233.5A57.2A28.2A.2A2.A$70.A
.A44.2A2.3A41.2A3.2A47.A.A42.A.A.A87.2A.A.A.2A39.2A4.A44.A.A.2A40.A5.
A44.2A.A49.A42.2A94.2A186.A.A2.A.A$69.A2.A43.2A46.A2.A.A2.A41.2A3.2A
43.A2.2A88.A.A.A.A39.A51.A.A.A93.A.2A52.3A35.A2.A92.A2.A92.3A90.A2.A.
A2.A$69.A.A93.A.A.A.A43.2A3.A41.A.A46.3A43.A.A.A.A92.A2.A93.A55.A37.A
.A93.A2.A91.A2.A48.A42.A.A2.2A$70.A95.2A.2A43.A47.2A49.A44.A3.A94.2A
93.2A56.A37.A95.2A93.2A47.2A44.2A$312.A288.2A286.2A$211.2A389.2A$29.A
182.2A387.A97.A$24.A4.A.A179.A485.2A189.2A$22.A.A4.2A667.2A188.A.A$
23.2A599.2A262.A$41.2A68.3A509.2A$41.A.A69.A511.A74.2A$41.A70.A586.2A
$701.A8$486.3A$347.3A138.A$347.A139.A$348.A2$293.2A$294.2A$293.A376.
2A$671.2A$670.A12$744.2A$743.A.A$745.A28$408.A.A$409.2A$409.A9$600.A.
A$214.A.A383.2A$215.2A384.A$215.A3$203.A111.A.A$204.2A109.2A330.2A$
203.2A111.A43.2A40.A243.A2.A$74.A235.A48.A2.A40.2A49.2A95.2A94.A2.A$
19.2A49.2A.A.A145.A.A85.A50.A.A39.2A49.A2.A.2A90.A.3A93.3A$18.A.A49.A
.2A2.A89.2A3.A50.2A3.2A33.2A45.3A49.A92.A.A.A.A89.A4.A$20.A53.2A89.A
2.A.A.A49.A3.2A33.A2.A.2A187.A4.A43.A46.4A.A91.5A$24.3A44.3A91.2A.A.A
.A55.A32.2A.A.A.A90.5A92.4A45.2A49.A90.A4.A$24.A6.2A37.A2.A94.A.2A92.
A.A.A89.A5.A40.3A96.2A47.3A90.A.A.A$25.A5.A.A36.A.A92.3A93.3A3.A90.2A
2.A.A42.A48.2A37.A.A54.A41.2A50.A.A.2A$31.A39.A93.A95.A49.3A48.2A42.A
49.2A38.2A12.A41.2A39.2A5.2A45.A$121.A4.2A183.A184.A12.A85.A4.A.A$
116.A4.A.A2.A.A183.A196.3A77.2A9.A$23.3A88.A.A4.2A3.A192.2A267.A.A$
25.A84.A4.2A201.2A270.A$24.A83.A.A209.A$109.2A7$522.2A$521.2A$523.A5$
437.3A$437.A$438.A!
simeks wrote:47 new still-lifes synthesized with 4 gliders
Sokwe wrote:I presume that you are finding these by enumerating subsets of 4-glider syntheses.
x = 198, y = 198, rule = LifeHistory
33.D130.D$32.3D128.3D$31.5D126.5D$30.7D124.7D$29.9D122.9D$28.11D120.
11D$27.13D118.13D$26.15D116.15D$25.17D114.17D$24.19D112.19D$23.21D
110.21D$22.23D108.23D$21.25D106.25D$20.27D104.27D$19.29D102.29D$18.
31D100.31D$17.33D98.33D$16.35D96.35D$15.37D94.37D$14.39D92.39D$13.41D
90.41D$12.43D88.43D$11.45D86.45D$10.47D84.47D$9.49D82.49D$8.51D80.51D
$7.53D78.53D$6.55D76.55D$5.57D74.57D$4.59D72.59D$3.61D70.61D$2.63D68.
63D$.65D66.65D$67D64.67D$.67D62.67D$2.67D60.67D$3.67D58.67D$4.67D56.
67D$5.67D54.67D$6.67D52.67D$7.67D50.67D$8.67D48.67D$9.65D50.65D$10.
63D52.63D$11.61D54.61D$12.52DCDC4D56.59D$13.52D2C3D58.57D$14.51DC3D
60.20DCDC32D$15.53D62.19D2C32D$16.51D64.19DC31D$17.49D66.21DC27D$18.
47D68.20DCDC24D$19.45D70.19D2C24D$20.43D72.43D$21.41D74.41D$22.39D76.
39D$23.37D78.37D$24.35D80.35D$25.33D82.33D$26.31D84.31D$27.29D86.29D$
28.27D88.27D$29.25D90.25D$30.23D92.23D$31.21D94.21D$32.19D96.19D$33.
17D98.17D$34.15D100.15D$35.13D102.13D$36.11D104.11D$37.9D106.9D$38.7D
108.7D$39.5D110.5D$40.3D112.3D$41.D114.D49$41.D114.D$40.3D112.3D$39.
5D110.5D$38.7D108.7D$37.9D106.9D$36.11D104.11D$35.13D102.13D$34.15D
100.15D$33.17D98.17D$32.19D96.19D$31.21D94.21D$30.23D92.23D$29.25D90.
25D$28.27D88.27D$27.29D86.29D$26.31D84.31D$25.33D82.33D$24.35D80.35D$
23.37D78.37D$22.39D76.39D$21.41D74.41D$20.43D72.43D$19.45D70.45D$18.
47D68.47D$17.49D66.49D$16.51D64.51D$15.53D62.53D$14.55D60.55D$13.57D
58.57D$12.59D56.59D$11.61D54.61D$10.63D52.63D$9.65D50.65D$8.67D48.67D
$7.67D50.67D$6.67D52.67D$5.67D54.67D$4.67D56.67D$3.67D58.67D$2.67D60.
67D$.67D62.67D$67D64.67D$.65D66.65D$2.63D68.63D$3.61D70.61D$4.59D72.
59D$5.57D74.57D$6.55D76.55D$7.53D78.53D$8.51D80.51D$9.49D82.49D$10.
47D84.47D$11.45D86.45D$12.43D88.43D$13.41D90.41D$14.39D92.39D$15.3D3C
31D94.37D$16.4DC30D96.35D$17.2DC30D98.33D$18.31D100.31D$19.29D102.29D
$20.27D104.27D$21.25D106.25D$22.23D108.23D$23.21D110.21D$24.19D112.
19D$25.17D114.17D$26.15D116.15D$27.13D118.13D$28.11D120.11D$29.9D122.
9D$30.7D124.7D$31.5D126.5D$32.3D128.3D$33.D130.D!
Sokwe wrote:If that's so, are you also finding any new 5-glider syntheses in which 4 gliders form an object and some debris with a fifth glider for cleanup?
Sokwe wrote:I noticed that almost all of these syntheses involve a single glider crashing into a 3-glider collision. One, however, involves the collision of two 2-glider collisions. Is this just a fluke, or are you testing both types of collisions?
hkoenig wrote:You might want to not limit the results to stable objects. Ways of getting 4 gliders to result in an oscillator, especially one with a period greater than 2, would be worth knowing.
simeks wrote:Sokwe wrote:If that's so, are you also finding any new 5-glider syntheses in which 4 gliders form an object and some debris with a fifth glider for cleanup?
It would be easy to add this. And to look for oscillators, pseudo still-lifes, non-standard spaceships etc.
simeks wrote:Sokwe wrote:I presume that you are finding these by enumerating subsets of 4-glider syntheses.
It's a very simple search that ducks the complications of enumerating collisions correctly: It just places 4 gliders, each within one of the boxes below picked at random, at random coordinates and phases, but each headed towards the center.
The sizes shown below are the actual sizes of the boxes used for this search - 64 lanes wide and 160 generations deep:
Then it just runs the pattern until it stabilizes and checks if the result is a single strict still-life. It also imports a list of previously known still-lifes that don't need to be reported as results.Code: Select allx = 198, y = 198, rule = LifeHistory
33.D130.D$32.3D128.3D$31.5D126.5D$30.7D124.7D$29.9D122.9D$28.11D120.
11D$27.13D118.13D$26.15D116.15D$25.17D114.17D$24.19D112.19D$23.21D
110.21D$22.23D108.23D$21.25D106.25D$20.27D104.27D$19.29D102.29D$18.
31D100.31D$17.33D98.33D$16.35D96.35D$15.37D94.37D$14.39D92.39D$13.41D
90.41D$12.43D88.43D$11.45D86.45D$10.47D84.47D$9.49D82.49D$8.51D80.51D
$7.53D78.53D$6.55D76.55D$5.57D74.57D$4.59D72.59D$3.61D70.61D$2.63D68.
63D$.65D66.65D$67D64.67D$.67D62.67D$2.67D60.67D$3.67D58.67D$4.67D56.
67D$5.67D54.67D$6.67D52.67D$7.67D50.67D$8.67D48.67D$9.65D50.65D$10.
63D52.63D$11.61D54.61D$12.52DCDC4D56.59D$13.52D2C3D58.57D$14.51DC3D
60.20DCDC32D$15.53D62.19D2C32D$16.51D64.19DC31D$17.49D66.21DC27D$18.
47D68.20DCDC24D$19.45D70.19D2C24D$20.43D72.43D$21.41D74.41D$22.39D76.
39D$23.37D78.37D$24.35D80.35D$25.33D82.33D$26.31D84.31D$27.29D86.29D$
28.27D88.27D$29.25D90.25D$30.23D92.23D$31.21D94.21D$32.19D96.19D$33.
17D98.17D$34.15D100.15D$35.13D102.13D$36.11D104.11D$37.9D106.9D$38.7D
108.7D$39.5D110.5D$40.3D112.3D$41.D114.D49$41.D114.D$40.3D112.3D$39.
5D110.5D$38.7D108.7D$37.9D106.9D$36.11D104.11D$35.13D102.13D$34.15D
100.15D$33.17D98.17D$32.19D96.19D$31.21D94.21D$30.23D92.23D$29.25D90.
25D$28.27D88.27D$27.29D86.29D$26.31D84.31D$25.33D82.33D$24.35D80.35D$
23.37D78.37D$22.39D76.39D$21.41D74.41D$20.43D72.43D$19.45D70.45D$18.
47D68.47D$17.49D66.49D$16.51D64.51D$15.53D62.53D$14.55D60.55D$13.57D
58.57D$12.59D56.59D$11.61D54.61D$10.63D52.63D$9.65D50.65D$8.67D48.67D
$7.67D50.67D$6.67D52.67D$5.67D54.67D$4.67D56.67D$3.67D58.67D$2.67D60.
67D$.67D62.67D$67D64.67D$.65D66.65D$2.63D68.63D$3.61D70.61D$4.59D72.
59D$5.57D74.57D$6.55D76.55D$7.53D78.53D$8.51D80.51D$9.49D82.49D$10.
47D84.47D$11.45D86.45D$12.43D88.43D$13.41D90.41D$14.39D92.39D$15.3D3C
31D94.37D$16.4DC30D96.35D$17.2DC30D98.33D$18.31D100.31D$19.29D102.29D
$20.27D104.27D$21.25D106.25D$22.23D108.23D$23.21D110.21D$24.19D112.
19D$25.17D114.17D$26.15D116.15D$27.13D118.13D$28.11D120.11D$29.9D122.
9D$30.7D124.7D$31.5D126.5D$32.3D128.3D$33.D130.D!
The search that found 47 new still-lifes repeated this about 130 billion times, which took 10 CPU days (150000 patterns/second).
It was also able to find 179 of the 186 still-lifes previously known to be synthesizable with 4 or less gliders.
...
BobShemyakin wrote:For 4G synthesis more effectively attack 2G set by two gliders from all possible directions. Because 2G set limited (71) and many of them short-lived, this should dramatically reduce the amount of computation (at least one of the gliders must reacts with 2G).
Bob Shemyakin
BlinkerSpawn wrote:The thing about simeks' program is that it doesn't need to discriminate between 2G + 2G or 2G + G + G or 3G + G collisions; it just places four gliders over and over and over and over.
x = 18, y = 19, rule = B3/S23
16bo$15bo$15b3o6$5bo$6bo$4b3o2$4b3o$4bo$5bo2$3o$2bo$bo!
gmc_nxtman wrote:Alternate 4G synthesis of beehive and dock:Code: Select allx = 18, y = 19, rule = B3/S23
16bo$15bo$15b3o6$5bo$6bo$4b3o2$4b3o$4bo$5bo2$3o$2bo$bo!
drc wrote:gmc_nxtman wrote:Alternate 4G synthesis of beehive and dock:Code: Select allx = 18, y = 19, rule = B3/S23
16bo$15bo$15b3o6$5bo$6bo$4b3o2$4b3o$4bo$5bo2$3o$2bo$bo!
That doesn't look right. Can't that not be rewinded or am I seeing things?
x = 80, y = 19, rule = B3/S23
40bo31bo$41bo31bo$39b3o29b3o2$42bobo29bobo$42b2o30b2o$bo31bo9bo31bo$ob
o14bo14bobo$bo9bo5bobo13bo$10bo6b2o46bo$10b3o51bobo$40bo24bo6bo$17b2o
21b2o30b2o$11b3o2b2o21bobo29bobo$11bo6bo$12bo$46b2o30b2o$45b2o30b2o$
47bo31bo!
simeks wrote:47 new still-lifes synthesized with 4 gliders:
...Code: Select allx = 941, y = 443, rule = LifeHistory
445.A$443.2A$444.2A6$721.A.A$412.A308.2A$413.A308.A$411.3A$A906.A.A$.
2A904.2A$2A906.A5$125.A$124.A195.A.A$119.2A3.3A193.2A$120.2A199.A$
119.A666.A$426.A360.A$426.A.A356.3A$118.2A306.2A$117.A.A$119.A819.2A$
21.A.A284.3A627.A.A$22.2A51.2A190.A40.A112.3A78.A244.A189.A$22.A53.A
189.A.A34.3A3.A113.A79.2A2.2A237.A.A41.A145.A$27.A46.A92.2A97.2A37.A
116.A32.A46.2A2.2A181.A56.A.A41.2A2.3A138.A$27.A.A44.2A92.A2.A92.2A
38.A54.2A.2A90.A.A51.A41.A.2A92.2A41.A.A55.A41.A.A2.A45.2A.2A89.A$27.
2A46.A92.A.A.A92.A94.A.A.A90.2A93.2A.3A90.A2.2A.A36.2A53.3A48.A43.A.A
.A89.A$73.A95.A.A91.A96.A2.A93.2A.A35.A59.A90.A.A.2A90.A95.2A2.A88.A$
73.2A95.A92.2A96.2A94.A.2A36.2A56.2A31.A59.A94.2A98.2A40.A46.2A$496.
2A91.2A4.A94.A192.A.A$507.A80.2A3.A.A93.2A193.2A$322.2A182.2A86.2A93.
A.A$321.2A183.A.A381.A$323.A564.2A$889.2A$221.A368.3A$211.3A5.2A371.A
$213.A6.2A369.A210.3A$212.A589.A$803.A$107.2A109.2A$108.2A108.A.A663.
3A$107.A110.A667.A$885.A5$31.2A687.2A$31.A.A686.A.A$31.A688.A$233.3A$
233.A$234.A364.2A$599.A.A$599.A38$816.A.A$816.2A$817.A6$214.A$215.A$
213.3A$100.A.A$101.2A$101.A2$591.A$592.A$25.A.A562.3A$26.2A577.A$26.A
576.2A$604.2A$518.A$518.A.A168.A206.3A$518.2A167.A.A201.3A2.A$363.2A
323.2A107.A43.2A50.A3.A$19.A247.A51.A42.A.A93.2A94.2A240.A43.A.A49.A$
20.A245.A.A50.A.A40.A54.2A38.A2.A41.A51.A.A41.A144.A46.2A4.3A41.A97.
2A$18.3A3.A45.A.2A94.A97.A.A50.2A42.A54.2A37.A.A43.2A51.A39.A.A47.2A
3.A90.A.A46.2A46.2A97.A$23.A46.2A.A70.A.A20.A.A.2A91.2A.A92.3A54.A5.
2A30.2A.A43.2A48.4A41.2A47.A.A.A.A89.A2.A.2A41.A50.2A92.2A.A.A$23.3A
47.A.2A59.A7.2A20.A2.A.A52.2A3.3A31.A2.A92.A62.2A32.A94.A.A94.A.A.A
90.2A3.A92.A.A92.A2.2A$73.A2.A59.A.A6.A21.2A2.A53.2A2.A33.A.A57.2A33.
A.A63.A29.A.A94.A96.A2.A93.3A52.2A41.A90.A.A$74.2A60.2A33.2A51.A5.A
33.A58.A.A33.A94.2A94.2A97.2A94.A53.2A42.2A89.2A$315.A7.A175.2A98.3A
199.A$314.2A182.A.A100.A294.A$141.A172.A.A183.A99.A294.2A$140.2A753.A
.A$140.A.A3$424.2A267.2A$395.2A26.2A269.2A202.2A$396.2A27.A267.A204.A
.A$395.A502.A$699.2A$317.2A379.2A$316.2A382.A$318.A2$201.2A282.2A211.
3A$202.2A282.2A210.A$13.2A186.A283.A213.A$12.A.A$14.A43$383.A$381.A.A
$382.2A12$688.A$228.A.A455.A.A$228.2A457.2A$229.A2$317.A567.A$316.A
569.2A$316.3A566.2A$122.2A578.A$123.2A2.3A87.2A393.A89.A.A83.A$11.A4.
A105.A4.A88.A.A382.A8.2A84.2A4.2A82.2A$9.A.A5.2A56.A52.A42.2A45.A47.A
285.A46.A.A9.2A34.A47.A.A45.A43.2A$10.2A4.2A56.A.A93.A.A50.A41.A.A
129.A57.2A2.2A90.A.A46.2A44.A.A48.A44.A.A97.2A95.2A$73.A2.A93.A51.2A
42.A.A129.A56.A4.A90.A2.A41.A49.A2.A92.A2.A95.A2.A33.2A58.A.A$73.3A
95.A50.A.A43.A52.2A35.2A36.3A57.4A92.3A39.A.A50.3A50.2A41.2A.A41.A52.
A2.A32.A.A58.A$71.2A95.4A92.4A53.A.A33.A2.A.2A231.2A102.A.A43.A42.2A
49.2A.2A35.A55.2A.A.A$14.2A54.A2.A93.A95.A51.A5.A36.A.A.A.A91.2A96.3A
92.3A49.A43.A.A39.A.A48.A.A42.3A50.A2.2A$13.A.A55.A.A55.2A36.A.A93.A.
A47.2A44.A2.A.A90.A.A95.A2.A92.A2.A93.A.A49.2A38.A.A42.A50.A.A$15.A
56.A55.2A38.2A94.2A48.2A46.2A92.A96.2A43.2A50.2A95.2A49.A.A38.A44.A
49.2A$121.3A6.A374.A.A91.2A197.A$123.A372.A.A7.2A90.A$122.A302.A71.2A
7.A5.A$317.2A104.2A72.A12.2A$31.2A284.A.A98.A5.2A85.2A375.3A$31.A.A
170.A112.A101.2A467.A$31.A172.2A212.2A469.A$203.A.A4$799.2A$798.2A$
534.3A263.A$534.A$535.A54$525.A$525.A.A$525.2A4$15.A.A$16.2A$16.A2$
392.A397.A82.A.A$390.A.A398.2A81.2A$391.2A397.2A5.A76.A$705.A89.2A$
107.A.A595.A.A88.2A$108.2A595.2A93.A$108.A690.A$213.A201.3A381.3A$
214.2A199.A$74.A138.2A93.A107.A230.2A2.2A90.2A2.2A93.2A$73.A.A233.2A
240.2A94.A4.A90.A4.A93.A.A57.A$73.A2.A45.A139.2A44.2A100.2A46.2A40.2A
4.2A43.A.A.2A47.2A42.4A92.4A91.A4.A55.2A$71.2A.2A40.A4.A140.A.A.2A92.
A42.2A6.2A41.2A.A2.A38.A.A3.2A46.A.A47.A.A233.5A57.2A28.2A.2A2.A$70.A
.A44.2A2.3A41.2A3.2A47.A.A42.A.A.A87.2A.A.A.2A39.2A4.A44.A.A.2A40.A5.
A44.2A.A49.A42.2A94.2A186.A.A2.A.A$69.A2.A43.2A46.A2.A.A2.A41.2A3.2A
43.A2.2A88.A.A.A.A39.A51.A.A.A93.A.2A52.3A35.A2.A92.A2.A92.3A90.A2.A.
A2.A$69.A.A93.A.A.A.A43.2A3.A41.A.A46.3A43.A.A.A.A92.A2.A93.A55.A37.A
.A93.A2.A91.A2.A48.A42.A.A2.2A$70.A95.2A.2A43.A47.2A49.A44.A3.A94.2A
93.2A56.A37.A95.2A93.2A47.2A44.2A$312.A288.2A286.2A$211.2A389.2A$29.A
182.2A387.A97.A$24.A4.A.A179.A485.2A189.2A$22.A.A4.2A667.2A188.A.A$
23.2A599.2A262.A$41.2A68.3A509.2A$41.A.A69.A511.A74.2A$41.A70.A586.2A
$701.A8$486.3A$347.3A138.A$347.A139.A$348.A2$293.2A$294.2A$293.A376.
2A$671.2A$670.A12$744.2A$743.A.A$745.A28$408.A.A$409.2A$409.A9$600.A.
A$214.A.A383.2A$215.2A384.A$215.A3$203.A111.A.A$204.2A109.2A330.2A$
203.2A111.A43.2A40.A243.A2.A$74.A235.A48.A2.A40.2A49.2A95.2A94.A2.A$
19.2A49.2A.A.A145.A.A85.A50.A.A39.2A49.A2.A.2A90.A.3A93.3A$18.A.A49.A
.2A2.A89.2A3.A50.2A3.2A33.2A45.3A49.A92.A.A.A.A89.A4.A$20.A53.2A89.A
2.A.A.A49.A3.2A33.A2.A.2A187.A4.A43.A46.4A.A91.5A$24.3A44.3A91.2A.A.A
.A55.A32.2A.A.A.A90.5A92.4A45.2A49.A90.A4.A$24.A6.2A37.A2.A94.A.2A92.
A.A.A89.A5.A40.3A96.2A47.3A90.A.A.A$25.A5.A.A36.A.A92.3A93.3A3.A90.2A
2.A.A42.A48.2A37.A.A54.A41.2A50.A.A.2A$31.A39.A93.A95.A49.3A48.2A42.A
49.2A38.2A12.A41.2A39.2A5.2A45.A$121.A4.2A183.A184.A12.A85.A4.A.A$
116.A4.A.A2.A.A183.A196.3A77.2A9.A$23.3A88.A.A4.2A3.A192.2A267.A.A$
25.A84.A4.2A201.2A270.A$24.A83.A.A209.A$109.2A7$522.2A$521.2A$523.A5$
437.3A$437.A$438.A!
x = 64, y = 110, rule = B3/S23
bo$2bo$3o9bobo$12b2o$13bo$61b2o$14bo47bo$13bobo45bo$12bo2bo45b2o$13b2o
42bob2o2bo$57b2obobo$61bo5$4bo$4b2o$3bobo32$obo$b2o6bobo$bo7b2o$10bo2$
11bo$10bobo$10bo2bo$11b2o3$55bo$55b3o$58bo$57bobo$56bobo$56b2o$b3o$3bo
$2bo31$2bo$obo$b2o$54bo$8bo44bobo$8bobo43bo$8b2o4b2o39b3o$4b2o7bo2bo
40b3o$5b2o6bobo44bo$4bo9bo44b2o!
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