Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 »

Merry Christmas! I just arrived home, so this shall be quick.

First, we have 15809 oscillators with shape 3o! There's the still life, 3 p2 oscillators, 4 p3 oscillators, 32 p4 oscillators, 340 p5 oscillators, and 15429 p6 oscillators. A total of 1413004896817255*2^46, or about 15.69% of all rules without B0, B1c, or B1e have one of these objects. The six non-relativistic objects span 5*2^94, or exactly 31.25% of all non-relativistic rules, while the B2a objects cover 5630013263975*2^46 rules, or about 0.1250% of the total.
3o!.txt
15809 distinct oscillators
(974.6 KiB) Downloaded 78 times
Second, here's the first set with spaceships: 2214 objects with shape 2o$3bo! More precisely, we have:
  • The still life
  • 1 p2 oscillator
  • 6 p3 oscillators
  • 30 p4 oscillatos
  • 3 c/4o spaceships: 2 that move north and 1 that moves west
  • 130 p5 oscillators
  • 48 c/5o spaceships: 1 that moves east, 27 that move west, 1 that moves south, and 19 that move north
  • 1 c/5d spaceship, which moves northwest
  • 622 p6 oscillators
  • 1032 c/6o spaceships: 67 that move east, 542 that move west, 125 that move south, and 298 that move north
  • 227 c/6d spaceships: 8 that move southeast, 63 that move southwest, 68 that move northwest, and 88 that move northeast
  • 94 2c/6o spaceships: 43 that move west and 51 that move north
  • 19 (2,1)c/6 spaceships, all of which move north-northeast.
A total of 72349418902589*2^49 rules support one of these objects, or 1980674724925*2^49 if the still life is not counted. The latter is about 0.3518% of all non-relativistic rules.
2o$3bo!.txt
2214 distinct oscillators and spaceships
(138.94 KiB) Downloaded 63 times
As for why I skipped B2a rules, note that the domino forms a lightspeed engine, but the singlet cell is left behind. Additionally, it cannot spawn from a banana-shaped frontend, since the required cell has neighborhood B1c.

Code: Select all

#C [[ STOP 2 ]]
x = 4, y = 5, rule = B2aek3a/S03jHistory
2D$3.D2$2C.D$3.C!
2obo! and o3bo2$2bo! are proving exceptionally tough, but I'm continuing to run them. In place of the 2 concluded runs, I began obobo! and 2o2$3bo! I'll leave it as an exercise to show that the latter is also not a possible B2a photon.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Naszvadi
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi »

Definiately known replicator-based ships and puffers, 10c/72 orthogonal:

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x = 216, y = 75, rule = B378/S23e458
206bobo3bobo$206b3o3b3o$205bobobobobobo$205bobobobobobo$206b3o3b3o$
206bobo3bobo4$206bobo$203b3o3b3o$203b3o3b3o$206bobo4$206bobo3bobo$206b
3o3b3o$205bobobobobobo$205bobobobobobo$206b3o3b3o$206bobo3bobo8$137bo
2bobo2bo$136bo3bobo3bo$135bo11bo$135bo11bo$136bo3bobo3bo$137bo2bobo2bo
4$134b2o5b2o63bobo3bobo$70b2o9b2o51bob2ob2obo63b3o3b3o$70b3o7b3o51bob
2ob2obo62bobobobobobo$70b3o7b3o51b2o5b2o62bobobobobobo$70b2o9b2o123b3o
3b3o$206bobo3bobo3$137b4o6b4o6b4o6b4o6b4o$70bo5bo129bobo$68b2ob2ob2ob
2o107b2o3b2o3b2o5b3o3b3o$12b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o
3b2ob2ob2ob2o107b2o3b2o3b2o5b3o3b3o$12b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o6bo5bo110bo4bo4bo8bobo3$2bo$2b2o5b2o3b2o57b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o6bo5bo
$2b2o5b3ob3o57b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o
2b3o2b3o2b3o2b3o2b3o2b3o3b2ob2ob2ob2o$ob3o4b3ob3o158b2ob2ob2ob2o$9b2o
3b2o160bo5bo5$8b3o165b2o9b2o$8bobo165b3o7b3o$8bobo165b3o7b3o$8b3o165b
2o9b2o5$9b2o3b2o$ob3o4b3ob3o$2b2o5b3ob3o$2b2o5b2o3b2o$2bo!
Tiny ship, 7c/84:

Code: Select all

x = 9, y = 12, rule = B378/S23e458
2o3b2o$2obob2o$2obob2o$2o3b2o5$6b3o$6bobo$6bobo$6b3o!
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hotcrystal0
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 »

weird glider bounce

Code: Select all

x = 7, y = 29, rule = B3-kq4j7c/S2-i34c5e6e
2o$2o13$3bo$3bo$2bobo2$3bo2$3b3o$3b3o$4bo4$4b3o$5bo$5bo!
uh...

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x = 67, y = 65, rule = B3-kq4j7c/S2-i34c5e6e
18b2o$18b2o29b2o$49b2o4$18b2o$18b2o29b2o$49b2o4$51bo$11bo38bobo$5b2o3b
obo38b2o$5b2o4bo8$25b20o$25b7obo2bo2b3o2bo$25bobobobo4bo6b2o$25bob2ob
ob2o3bo4b3o$25b3obo2bob3o2b3ob2o$25bo3b2o2b2ob2o3b2obo$25bobob4obobob
obobobo$2o23b5ob2ob2o2bobob3o$2o23b3obo6b2o2bob3o$25b2o4bo2b3o2bob4o$
25bo3bo2b2ob2obobo2b2o$25bob2ob3o5bo2b2obo$25b5ob2ob3o3bob3o$8b2o15b7o
b4ob2o4bo$8b2o15b5obo3b2o2bo4bo$25b3o4b5o2b4obo$25b2o9bo4bob2o$25b2o2b
o2bo2b2o6b2o$25b2ob2obo2bo2b2ob3obo$25b20o2$2o$2o4$41bo$2o38bobo$2o39b
o5$65b2o$65b2o6$54b2o4b2o$54b2o4b2o!
118 days until New York's age verification law goes into effect.

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x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh »

Naszvadi wrote: December 25th, 2021, 9:12 am Tiny ship, 7c/84:

Code: Select all

x = 9, y = 12, rule = B378/S23e458
2o3b2o$2obob2o$2obob2o$2o3b2o5$6b3o$6bobo$6bobo$6b3o!
That ship is known, not sure how you missed a whole thread and catalogue at the same time
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
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SaltatorialSepulchre
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by SaltatorialSepulchre »

Merry Christmas!
I have found a celebratory spaceship, a 5-cell R-parent at 2c/310 diagonal, 12 days of Chri- I mean, 12 transitions from Life.

Code: Select all

x = 3, y = 3, rule = B2n3-k4ej5r7e8/S23-cq4c7c8
3o$bo$2bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 »

Okay, 2obo! is too complex to analyze in-depth, but here are all the nonrelativistic results up to period 6. There are 41172 objects up to period 6:
  • The still life
  • 2 p2 oscillators
  • 21 p3 oscillators
  • 6 c/3o spaceships, all of which move east
  • 239 p4 oscillators
  • 115 c/4o spaceships, of which 68 move east and 47 move west
  • 1631 p5 oscillators
  • 1192 c/5o spaceships, of which 657 move east and 535 move west
  • 208 2c/5o spaceships, all of which move east
  • 14807 p6 oscillators
  • 16574 c/6o spaceships, of which 8674 move east and 7900 move west
  • 6376 2c/6o spaceships, of which 5138 move east and 1238 move west
A total of 21991907361189*2^50 rules support one of these objects, or 4399721316773*2^50 if the still life is excluded. The latter is about 1.563% of all non-relativistic rules.
2obo!_nonrel.txt
41172 distinct oscillators and spaceships
(2.52 MiB) Downloaded 80 times
I'd cut back to 4 generations for B2a rules, since this case generates a very large evolutionary tree. In particular, if we choose the minrule B2ac/S0 in generation 0, then there are 8 degrees of freedom in generation 1 for subsequent evolution of the pattern.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by pzq_alex »

Code: Select all

x = 22, y = 19, rule = B34j6n8/S23
b2ob3o2bo2b6obobo$b2o4b2o2bo3b2o2bobo$2obo3b2obo2b5ob3o$bo2bob3ob3o2b
ob5o$2b4o6bo4b2o$2b3o2b2ob3o4b3o$2bob4ob7o3bo$bo5b4ob3obo3b2o$b2o4bob
o10b2o$2bob3o2bobo6bob2o$2o2bo2b3ob3obob3obo$2b4ob2o3b6o2bo$bo3b3ob3o
2bo2b4o$2bo2bob6o2bo5bo$obob3o2b7obo2b2o$bo2bo2b3o2b3obobo$2b4obo2b2o
2bo2b2obo$2obob2obo3bo2bobo2bo$4b4o3b2o3bo3bo!
Edit: I'm running 2o$2bo! in EPE, 6 gens, and there seems to be only 537 patterns so far.

Edit2: Output attached:
2obo_6gen.txt
(30.63 KiB) Downloaded 62 times
Last edited by pzq_alex on December 26th, 2021, 8:34 am, edited 1 time in total.
\sum_{n=1}^\infty H_n/n^2 = \zeta(3)

How much of current CA technology can I redevelop "on a desert island"?
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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 »

EPE took 11007 seconds to collect all the 2obo! objects in B2a rules with period 4 or less. As it turns out, the geometry of the situation enforces a period of exactly 4 for all of these objects. A total of 4934127*2^60 rules, or about 0.001795% of all B2a rules, support one of these objects.
  • 163 p4 oscillators
  • 363 c/4o spaceships, of which 188 move east and 175 move west
  • 248 2c/4o spaceships, of which 17 move east and 231 move west
2obo!_rel4.txt
774 distinct oscillators and spaceships
(41.54 KiB) Downloaded 62 times
If you replicate this search yourself and compare it against a 3o! search, you can probably figure out why I stopped at generation 4. Now attempting: o3bo$2bo! An unintentional preliminary result indicates that there are 161 such objects wiht period 4 or less; I sought to run for 6 generations.

Code: Select all

o3bo$2bo!

B/S0: (0,0)/1, Minpop:3, 2^97
B2c2e2k4i5y/S01e2c3j4e: (0,0)/4, Minpop:3, 2^79
B2k3a3i/S0: (0,1)/2, Minpop:3, 2^89
B2e2k3a3i3n/S01e4i: (0,2)/4, Minpop:3, 2^80
B2k3a5i/S0: (0,0)/4, Minpop:3, 2^89
B2e2k3a3n5i/S01e3i4i: (0,0)/4, Minpop:3, 2^80
B2c2k2i3a/S04i: (0,2)/4, Minpop:3, 2^81
B2c2k2i3a3i3n3r/S04i: (0,2)/4, Minpop:3, 2^79
B2c2k3c3a3i/S01c1e4i: (0,1)/4, Minpop:3, 2^77
B2c2k3c3a3i3r/S01e4i5y: (0,0)/4, Minpop:3, 2^76
B2c2k3a3r5i/S02i4i: (0,2)/4, Minpop:3, 2^80
B2k3a4i/S01c2e3e3j: (0,0)/4, Minpop:3, 2^81
B2k3a3i5y/S03j: (0,0)/3, Minpop:3, 2^84
B2k3a3i4i5y/S02c2i3j: (0,0)/4, Minpop:3, 2^80
B2e2k3a3i4i5y/S03k3j: (0,1)/4, Minpop:3, 2^78
B2k3a3i3j4i/S03k3j: (0,1)/4, Minpop:3, 2^80
B2k3a/S03j4i: (0,0)/3, Minpop:3, 2^87
B2k3a/S01c2i3e3j4i: (0,0)/4, Minpop:3, 2^82
B2k3a/S01e2c3i3j4i: (0,0)/4, Minpop:3, 2^82
B2k3a3i/S03j4i5y: (0,0)/3, Minpop:3, 2^85
B2k3a3i/S02c3i3j4i4j: (0,1)/4, Minpop:3, 2^79
B2k3a5i/S01c3e3j4i4r5i: (0,0)/4, Minpop:3, 2^80
B2k3a5i/S01e3i3j4a4i5i: (0,0)/4, Minpop:3, 2^81
B2k3e3a3i5i/S01c3j4i5i5n: (0,0)/4, Minpop:3, 2^75
B2k3a3i4e5i/S01c3i3j4i5i5n: (0,0)/4, Minpop:3, 2^74
B2e2k3a3i5i/S03j4i5i5n6c: (0,1)/4, Minpop:3, 2^75
B2k3a3i3j4a4i5i/S03j4i5i5n: (0,1)/4, Minpop:3, 2^75
B2k3a3i4a5i5y/S01c3j4i5i5n: (0,0)/4, Minpop:3, 2^75
B2k3a3i3j4a5i/S03j4i5i5n6c: (0,1)/4, Minpop:3, 2^75
B2k3e3a3i3n4a5i/S03j4a4i6c: (0,1)/4, Minpop:3, 2^73
B2k3a3i4a5i/S01e3j4c4a4i6c: (0,0)/4, Minpop:3, 2^73
B2k3a3i4a4i5i/S03j4a4i5n: (0,1)/4, Minpop:3, 2^75
B2k3a3i4a5i/S03j4a4i5n6c: (0,1)/4, Minpop:3, 2^77
B2c2k3a5y/S02c2e3q3j: (0,1)/4, Minpop:3, 2^77
B2c2e2k3a4i4t/S02c3j: (0,-1)/4, Minpop:3, 2^76
B2c2e2k3a4i5y/S02c3j4t: (0,-1)/4, Minpop:3, 2^75
B2c2e2k3a4i5y/S02c3q3j6c: (0,-1)/4, Minpop:3, 2^76
B2c2k3a/S03j4i: (0,0)/3, Minpop:3, 2^84
B2c2k3a/S01c2i3e3j4i: (0,0)/4, Minpop:3, 2^80
B2c2k3a6c/S01c2c3e3j4i: (0,0)/4, Minpop:3, 2^78
B2c2k3a6c/S01e3i3j4i4n: (0,0)/4, Minpop:3, 2^80
B2c2e2k3a6c/S02c3j4i4t: (0,-1)/4, Minpop:3, 2^78
B2c2e2k3a6c/S02c3j4i4n6c: (0,-1)/4, Minpop:3, 2^78
B2c2k3a3i/S03j4i5y: (0,0)/3, Minpop:3, 2^81
B2c2k3a3i6c/S02c3j4i4n4j5y: (0,1)/4, Minpop:3, 2^77
B2c2k3a5i/S01c1e3i3j4i5i6c: (0,0)/4, Minpop:3, 2^76
B2c2e2k3a5i/S03i3j4i4t5i6c: (0,-1)/4, Minpop:3, 2^76
B2k2n3e3i/S01c2a: (0,0)/4, Minpop:3, 2^83
B2k/S02a4i: (0,0)/2, Minpop:3, 2^89
B2k3i3q/S01e2a4i5y: (0,0)/4, Minpop:3, 2^84
B2k3c3i4e5i/S01c2a: (0,0)/4, Minpop:3, 2^81
B2k3n5i/S01c1e2a3e4i: (0,0)/4, Minpop:3, 2^80
B2k3r5i/S01e2a3i4i: (0,0)/4, Minpop:3, 2^82
B2k3i5i/S02a2i4i: (0,0)/3, Minpop:3, 2^85
B2k3i4e4n5i/S01c1e2a4i: (0,0)/4, Minpop:3, 2^79
B2k3i4n5i/S01c1e2a2i4e4i: (0,0)/4, Minpop:3, 2^79
B2c2k/S02a: (0,0)/4, Minpop:3, 2^89
B2c2k3c3i3r5i6c/S01e2a: (0,0)/4, Minpop:3, 2^76
B2k4i/S01c2a3e3j: (0,0)/4, Minpop:3, 2^81
B2k3i5y/S02a3j: (0,0)/3, Minpop:3, 2^83
B2k3i4i5y/S02c2a2i3j: (0,0)/4, Minpop:3, 2^79
B2k3i4i5y/S01c2c2a3q3j4e: (0,0)/4, Minpop:3, 2^78
B2e2k3i3j4i/S02a3q3j: (0,1)/4, Minpop:3, 2^78
B2e2k3i5y/S01e2e2a3j4c: (0,0)/4, Minpop:3, 2^76
B2k3i/S01e2c2a3j4i5y: (0,0)/4, Minpop:3, 2^81
B2k3i5y/S02a3i3j4i4w: (0,0)/4, Minpop:3, 2^80
B2k5i/S02a3j: (0,0)/3, Minpop:3, 2^87
B2k5i/S01c2a2i3i3j: (0,0)/4, Minpop:3, 2^82
B2k5i/S01e2c2a3e3j: (0,0)/4, Minpop:3, 2^82
B2k5i/S01c2a3e3j4a4i5i: (0,0)/4, Minpop:3, 2^80
B2k5i/S01e2a3i3j4i4r5i: (0,0)/4, Minpop:3, 2^81
B2c2e2k4i/S02a3i3j: (0,1)/4, Minpop:3, 2^79
B2c2k4i/S01c2a3e3j: (0,0)/4, Minpop:3, 2^79
B2c2e2k4i5y/S02c2a3i3j: (0,1)/4, Minpop:3, 2^75
B2c2k4i5y/S01c2c2a3j4e: (0,0)/4, Minpop:3, 2^75
B2c2k5y6c/S02a3k3j: (0,0)/4, Minpop:3, 2^80
B2c2k4i5y/S02a3k3j6c: (0,0)/4, Minpop:3, 2^79
B2c2k3j4i/S02c2a3e3j: (0,0)/4, Minpop:3, 2^77
B2c2k3j4i5y/S02c2a3j4e: (0,0)/4, Minpop:3, 2^76
B2c2k3i5y/S01c2c2a3q3j4e: (0,0)/4, Minpop:3, 2^75
B2c2k/S01c2a2i3j4i: (0,0)/4, Minpop:3, 2^81
B2c2k6c/S01c2c2a3e3j4i: (0,0)/4, Minpop:3, 2^77
B2c2k6c/S02c2a3j4k4i5i: (0,0)/4, Minpop:3, 2^79
B2c2k3i/S02a3j4i5y: (0,0)/3, Minpop:3, 2^82
B2c2e2k3i6c/S02c2a3j4i4w5y: (0,1)/4, Minpop:3, 2^74
B2c2e2k3i6c/S02c2a3i3j4i4w5y: (0,1)/4, Minpop:3, 2^74
B2c2e2k5i/S02a3i3j5y: (0,1)/4, Minpop:3, 2^77
B2c2k3i5i6c/S02a3j: (0,0)/3, Minpop:3, 2^81
B2c2k3i5i/S01e2a3i3j4j: (0,0)/4, Minpop:3, 2^77
B2c2k5i/S02a3j4i5i: (0,0)/3, Minpop:3, 2^83
B2c2k5i/S01c2a2i3j4a4i5i: (0,0)/4, Minpop:3, 2^78
B2c2e2k5i/S02a3i3j4a4i6c: (0,1)/4, Minpop:3, 2^75
B2c2k5i/S01c2a3e3i3j4a4i5i6c: (0,0)/4, Minpop:3, 2^75
B2c2k5i/S01e2a3i3j4i5n: (0,0)/4, Minpop:3, 2^78
B2c2k4a5i/S01c1e2a3i3j4i5i6c: (0,0)/4, Minpop:3, 2^75
B2c2e2k4a5i/S02a3i3j4i4t5i6c: (0,-1)/4, Minpop:3, 2^75
B2c2e2k3i5i/S02a3i3j4i5a6c: (0,1)/4, Minpop:3, 2^76
B2k3a3r/S01e2a2i4i: (0,0)/4, Minpop:3, 2^82
B2e2k3a3i3n/S01e2a4i: (0,2)/4, Minpop:3, 2^79
B2k3a3i3n4z/S01e2a4i: (0,2)/4, Minpop:3, 2^81
B2k3e3a3n5i/S01e2a: (0,0)/4, Minpop:3, 2^81
B2k3a3i4e5i5r/S01e2a4i: (0,0)/4, Minpop:3, 2^78
B2c2k2i3a3r/S01e2a4i: (0,2)/4, Minpop:3, 2^78
B2c2k3a3n5i/S01e2e2a: (0,1)/4, Minpop:3, 2^79
B2c2e2k3a3i4z5i/S01e2a: (0,2)/4, Minpop:3, 2^73
B2c2e2k2i3a3i4z5i/S01e2a: (0,2)/4, Minpop:3, 2^74
B2c2k3a3i4y4z5i/S01e2a: (0,2)/4, Minpop:3, 2^76
B2c2k2i3a3i4y4z5i/S01e2a: (0,2)/4, Minpop:3, 2^75
B2c2e2k3a5i5r/S01e2a4i: (0,2)/4, Minpop:3, 2^74
B2c2e2k3a5i5r/S01e2a2i4i: (0,2)/4, Minpop:3, 2^73
B2k3a3i5y/S01e2c2a3a3j: (0,1)/4, Minpop:3, 2^76
B2k3a3i3j5y/S02e2a3a3j4c: (0,0)/4, Minpop:3, 2^77
B2e2k3a3i3j5y/S02c2a3a3j: (0,2)/4, Minpop:3, 2^76
B2k3a/S02a2i3a3j4i4r: (0,0)/4, Minpop:3, 2^82
B2k2i3a3i4a/S02k2a3a3j4i: (0,1)/4, Minpop:3, 2^77
B2k3e3a3i4a/S02k2a3a3j4i5y: (0,1)/4, Minpop:3, 2^76
B2k3a3i/S01e2a3a3i3j4a4i5y: (0,1)/4, Minpop:3, 2^76
B2k3a3i4a/S02e2a3a3j4c4a4i5y: (0,0)/4, Minpop:3, 2^76
B2e2k3a3i4a/S02a3a3i3j4a4i5y: (0,2)/4, Minpop:3, 2^76
B2k3a5i/S02a2i3a3j4a: (0,0)/4, Minpop:3, 2^82
B2c2k3a4i/S02a3e3a3j: (0,0)/4, Minpop:3, 2^78
B2c2k3a4i5y/S02c2a3a3j4e: (0,0)/4, Minpop:3, 2^74
B2c2k3a3j4i/S02c2e2a3a3i3j: (0,1)/4, Minpop:3, 2^72
B2c2k3a3j4i/S02c2a3e3a3n3j: (0,0)/4, Minpop:3, 2^72
B2c2e2k3a3j4i6i/S02c2a3a3j: (0,-1)/4, Minpop:3, 2^72
B2c2k3a3j4i5y/S02c2e2a3a3i3j: (0,1)/4, Minpop:3, 2^73
B2c2e2k3a3j4i5y/S02c2a3a3j6i: (0,-1)/4, Minpop:3, 2^73
B2c2k3a/S02a2i3a3j4i4r: (0,0)/4, Minpop:3, 2^79
B2c2e2k3a3j6i/S02c2a3a3j4i4r: (0,-1)/4, Minpop:3, 2^75
B2c2e2k3a3i4a/S02a3a3j4i5y: (0,2)/4, Minpop:3, 2^74
B2c2e2k3a3i4a6c/S02c2a3a3j4i: (0,2)/4, Minpop:3, 2^71
B2c2e2k3a3i4a6c/S02c2a3a3i3j4i: (0,2)/4, Minpop:3, 2^72
B2c2e2k3a3i4a6c/S02c2a3a3i3j4i5y: (0,2)/4, Minpop:3, 2^70
B2c2k3a5i/S02a3e3a3j4a: (0,0)/4, Minpop:3, 2^80
B2c2k3a5i/S01e2a3a3j5y5q: (0,1)/4, Minpop:3, 2^77
B2c2k3a5i/S01e2a3a3i3j5q: (0,1)/4, Minpop:3, 2^74
B2c2e2k3a4a4t5i/S02a3a3i3j: (0,-1)/4, Minpop:3, 2^75
B2c2k3a4a5i/S01e2a3a3i3j5y: (0,1)/4, Minpop:3, 2^73
B2c2k3a4a5i/S02k2a2i3a3i3j5y: (0,0)/4, Minpop:3, 2^73
B2c2e2k3a4a5i/S02a3a3i3j4t5y: (0,-1)/4, Minpop:3, 2^73
B2c2e2k3a3i3j5i6c/S02a3a3j: (0,2)/4, Minpop:3, 2^74
B2c2e2k3a3i3j5i6c/S02c2a3a3j: (0,2)/4, Minpop:3, 2^73
B2c2e2k3a3i3j5i/S02a3a3i3j5y: (0,2)/4, Minpop:3, 2^71
B2c2e2k3a3i3j5i/S02c2a3a3i3j5y: (0,2)/4, Minpop:3, 2^72
B2c2e2k3a3i3j5i6c/S02a3a3i3j5y: (0,2)/4, Minpop:3, 2^71
B2c2e2k3a3i3j5i6c/S02c2a3a3i3j5y: (0,2)/4, Minpop:3, 2^70
B2c2k3a5i/S02a2i3a3j4i5i: (0,0)/4, Minpop:3, 2^80
B2c2e2k3a4a5i/S02a3a3i3j4i6c: (0,-1)/4, Minpop:3, 2^76
B2c2e2k3a4a5i6i/S02a3a3i3j4i5i: (0,-1)/4, Minpop:3, 2^75
B2c2k2a3e4i5i/S03j3r4r5i: (0,0)/4, Minpop:3, 2^68
B2c2k2a4e4i5i/S03j3r4r5i7e: (0,0)/4, Minpop:3, 2^68
B2c2k2a3e5i/S03j4i4r5i: (0,0)/4, Minpop:3, 2^70
B2c2k2a5i/S03e3j4i4r5i7e: (0,0)/4, Minpop:3, 2^70
B2c2k2a4e5i/S03j4i4r5i8: (0,0)/4, Minpop:3, 2^70
B2c2e2k2a2i3a3r4n/S0: (0,-2)/4, Minpop:3, 2^75
B2c2e2k2a3e3a3r5e/S04i: (0,-2)/4, Minpop:3, 2^71
B2c2e2k2a3e3a3r4t5e6c/S02i4i4t: (0,0)/4, Minpop:3, 2^68
B2c2e2k2a2i3k3a3r5i5j/S0: (0,-2)/4, Minpop:3, 2^69
B2c2e2k2a2i3k3a3r5i5y5j/S03e3r4t: (0,0)/4, Minpop:3, 2^67
B2c2e2k2a2i3k3a3r5i5j6c/S03e3i3r4t: (0,0)/4, Minpop:3, 2^66
B2c2k2a3a4i5i7e/S03y3j4e4j4r5i7e: (0,0)/4, Minpop:3, 2^67

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
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Gustone
Posts: 893
Joined: March 6th, 2019, 2:26 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Gustone »

Code: Select all

x = 8219, y = 7642, rule = B3-ckqr4y5ay6ei7c/S2-i3-aek4ity5ac6ei7e8
2084bo$2083bobo$2084b2o7$2068bo$2067bobo$2068b2o2$2092b2o$2091b2o$
2091bo3$2052bo$2051bobo$2052b2o7$2036bo$2035bobo$2036b2o7$2020bo$2019b
obo$2020b2o7$2004bo$2003bobo$2004b2o7$1988bo$1987bobo$1988b2o3$2113b3o
$2112b2o$2112bo$2112bo2bo$1972bo$1971bobo$1972b2o7$1956bo$1955bobo$
1956b2o7$1940bo$1939bobo$1940b2o7$1924bo$1923bobo$1924b2o7$1908bo$
1907bobo$1908b2o4$2135bo$2068bo67bo$2063b2o2bobo63bobo$1892bo170bobo2b
o65bo$1891bobo170bo$1892b2o5$1740bo$1739bobo$1740b2o134bo$1744b3o128bo
bo$1743b2o131b2o$1743bo$1743bo2bo3$1724bo300b2o$1723bobo298b3o$1724b2o
134bo162b2o8b3o$1859bobo161b2obo5bo3bo10bo$1860b2o160b2ob2obo3b2o12b3o
$2022bo4bo7b2obo7b4o$2023bobo8bo3bo8b2o$2023bo2bo7b3obo$2023b2obo7b2ob
2o$1708bo314bo2bo8b3o$1707bobo326bo$1708b2o134bo$1843bobo$1844b2o5$
1692bo321bo$1691bobo319bobo$1692b2o134bo185b2o$1827bobo$1828b2o5$1676b
o321bo$1675bobo319bobo157bo$1676b2o134bo185b2o156b3o$1811bobo341b4o$
1812b2o342b2o5$1660bo321bo$1659bobo319bobo$1660b2o134bo185b2o$1795bobo
$1766bo29b2o$1767bo$1764bobo$1765bo2$1644bo321bo$1643bobo319bobo$1644b
2o134bo185b2o$1779bobo$1780b2o5$1628bo321bo105bo$1627bobo319bobo102b3o
$1628b2o134bo185b2o102bo$1763bobo287b2o$1764b2o5$1612bo321bo$1611bobo
319bobo$1612b2o134bo185b2o$1747bobo$1748b2o5$1596bo321bo$1595bobo319bo
bo$1596b2o134bo185b2o259bo$1731bobo443bobo$1732b2o444bo$2176b2o4$1580b
o321bo$1579bobo319bobo$1580b2o134bo185b2o$1715bobo$1716b2o2$1788bo$
1211bo575b3o$1210bobo573b4o$1211bo5b3o344bo222b2o97bo$1216b2o345bobo
319bobo$1216bo347b2o134bo185b2o$1216bo2bo479bobo$1700b2o3$1195bo$1194b
obo575b3o$1195bo352bo222bo3bo94bo$1547bobo221bo3bo93bobo$1548b2o134bo
85bo2bo2bo93b2o$1683bobo84b7o300b2o$1684b2o84bo5bo299b2o$1767b3obobobo
b3o296bo$1765b2obobobobobobob2o$1179bo584bo3bo2bobobo2bo3bo$1178bobo
583bo2b2obobobobob2o2bo$1179bo352bo231bo3bo2bobobo2bo3bo71bo$1531bobo
231b2obobobobobobob2o71bobo$1532b2o134bo98b3obobobob3o74b2o$1667bobo
100bo5bo$1668b2o100b7o$1770bo2bo2bo7bo$1771bo3bo7bobo$1163bo607bo3bo8b
o$1162bobo607b3o$1163bo352bo250b2o69bo$1515bobo249bobo67bobo$1516b2o
134bo115bo69b2o$1651bobo$1652b2o107bo23bo$1760bobo21bobo8b3o401b3o$
1751bo7bo3bo19bo3bo6b3o402bobo$1147bo602b3o5bob4o19b4obo5bo3bo400b2o$
1146bobo600b3obo5b2o25b2o5b2o4bo$1147bo352bo243bo2bo5b2o15bo5bo17bo3bo
23bo$1499bobo243bobo5bo15bobo3bobo19bo23bobo$1500b2o134bo106bo2b2o3b3o
14bobo5bobo16b2o25b2o$1635bobo104b3o2bo21bo7bo$1636b2o103b2o2bobo$
1742b3o2bo14b2o19b2o$1743bo2b2o3b3o8bobo17bobo$1131bo613bobo5bo8b2o19b
2o$1130bobo174bo436bo2bo5b2o$1131bo174bobo175bo264b3obo5b2o25b2o18bo$
1239bo67b2o174bobo264b3o5bob4o19b4obo16bobo$1240bo243b2o134bo130bo7bo
3bo19bo3bo18b2o$1237bobo379bobo138bobo21bobo$1238bo381b2o139bo23bo$
1766b2o2bob3obo2b2o$1765bobo2b2o3b2o2bobo$1115bo648bo2bo11bo2bo$1114bo
bo174bo473bob2o9b2obo7bo$1115bo174bobo175bo297bobo9bobo7bobo$1291b2o
174bobo297bo11bo9b2o$1468b2o134bo$1603bobo$1604b2o492b3o$1218bo550bo7b
o319b2o$1217bobo548b4o3b4o318bo$1099bo118bo548bo3bo3bo3bo317bo2bo$
1098bobo108b3o63bo490b3o2bo3bo2b3o$1099bo109bobo62bobo175bo314b2o9b2o$
1208bo3bo62b2o174bobo314bo9bo$1207bobobobo238b2o134bo$1207b2o3b2o373bo
bo179b9o$1207bobobobo374b2o181bo3bo$1207b2o3b2o556bo2bo2bo$1208bo3bo
21bo534bo2bobo2bo$1083bo149bobo535b2ob2o$1082bobo125bo23bo24bo512b3o$
1083bo116b4o13b4o37bobo80bo94bo336bo$1199bobob2o4bobo4b2obobo37b2o81bo
92bobo$1197b2obobo5bobobo5bobob2o115bobo94b2o134bo239bo2bo$1197bo8bo2b
obo2bo8bo116bo230bobo241bo$1197b2obobo5bobobo5bobob2o348b2o240b2o$
1199bobob2o4bobo4b2obobo590b3o407bo$1200b4o13b4o999b3o$1067bo142bo
1009bo$1066bobo174bo975b2o$1067bo140bo3bo29bobo175bo$1207b2o3b2o29b2o
174bobo$1207bobobobo206b2o134bo$1207b2o3b2o10b2o329bobo$1207bobobobo
10b2o5bo324b2o$1208bo3bo15b5o$1209bobo14b4o2b2o89bo$1051bo157b3o13bo2b
o2b2o89bobo$1050bobo172bobob2o91b3o$1051bo174bo2b2o88bo3bo3bo76bo$
1403bobo$1319bo7bo76b2o134bo$1322b2o215bobo$1321b3o216b2o$1237bo85bo$
1236b2o82bo$1035bo199b2o84b2o9b3o$1034bobo294bo$1035bo281b2o6b2o4b3o
54bo$1317bobo4bobo5bo54bobo$1318bo4b2obo61b2o134bo$1322bo2b2o196bobo$
1324bobo197b2o342bo$1323bob2o540b2o251bo$1323bo2bo539b2o253bo$1019bo
290b2o11bobo9b2o10bo770bobo$1018bobo284bo4bobo6bo2bobo2bo6bobo4bo4bobo
770bo$1019bo281bobo3bo3bo6bobo2bo2bobo6bo3bo3bo3bo24bo$1304bo2bo11bobo
3bobo11bo2bo28bobo$1304bo2bo12bo5bo12bo2bo29b2o134bo$1299b2o2b2ob2o7b
2o13b2o7b2ob2o2b2o159bobo$1298bob2obo3bo6bobo13bobo6bo3bob2obo159b2o$
1299b2o2b2ob2o7b2o13b2o7b2ob2o2b2o$1304bo2bo12bo5bo12bo2bo$1003bo300bo
2bo11bobo3bobo11bo2bo$1002bobo296bobo3bo3bo6bobo5bobo6bo3bo3bobo$1003b
o301bo4bobo6bo7bo6bobo4bo14bo$1310b2o23b2o18bobo$1322b3o31b2o134bo$
1322bobo166bobo$1323bo168b2o2$1318bo9bo$987bo303b2o24bobo7bobo$986bobo
302bo25b2o9b2o9bo903b2o$987bo301b3o46bobo901b2o$1289bo49b2o901bo$1319b
9o148bo$1322bobo150bobo$1318bo9bo147b2o$1320b3ob3o$1319bo2b3o2bo594b2o
$971bo950bo$970bobo346bo3bo3bo592b3o$971bo350b3o595bo$1322bobo$1323bo
136bo$1459bobo$1460b2o3$955bo$954bobo404bo$955bo404b2o$1359b2o$1444bo$
1443bobo$1444b2o3$939bo1202bo$938bobo402b2o796b3o$939bo402bobo795b4o$
1342b3o796b2o$1428bo$1427bobo$1428b2o3$923bo1050b2o$922bobo1048bobo$
923bo1049b3o2$1412bo$1411bobo$1412b2o3$907bo$906bobo$907bo1356b3o$
2263b2o$1396bo866bo$1395bobo865bo2bo$1396b2o3$891bo$890bobo$891bo$
1398b2o$1380bo16bo$1379bobo14bobo$1380b2o14bo3$875bo$874bobo$875bo
1153b2o$2028bo$1364bo662bobo$1363bobo661bo$1364b2o3$859bo$858bobo1303b
o$859bo1302bobo$2163bo$1348bo812b2o$1347bobo$1348b2o3$843bo$842bobo$
843bo2$1332bo117b2o$1331bobo115b4o$1332b2o115b3o$1450bo2$827bo$826bobo
$827bo$2081b2o203bo$1316bo763b4o203bo$1315bobo762b3o201bobo$1316b2o
763bo203bo3$811bo$810bobo$811bo2$1300bo$1299bobo$1300b2o3$795bo$794bob
o$795bo2$1284bo$1283bobo$1284b2o219bo$1504bobo$1503bo$779bo724bo$778bo
bo$779bo2$1268bo915b3o$1267bobo866bo47bobo$1268b2o865bobo46b2o$2134bo$
2135bo$763bo$762bobo$763bo2$1252bo$1251bobo$1252b2o3$747bo$746bobo$
747bo2$1236bo$1235bobo1070bo$1236b2o1069b3o$1556bo2bo746b4o$1559bo747b
2o$731bo826b2o$730bobo823b3o$731bo2$1220bo$1219bobo$1220b2o965bo2bo$
2190bo$2189b2o$715bo1471b3o$714bobo$715bo2$1204bo$1203bobo$1204b2o993b
o$2198bobo$2198b2o$699bo$698bobo$699bo2$1188bo$1187bobo$1188b2o993bo$
2182bobo$2182b2o$683bo928bo$682bobo926b2o$683bo926b2o$996bo$995bobo
174bo$996bo174bobo$1172b2o993bo$2166bobo$2166b2o$667bo$666bobo$667bo$
980bo$979bobo174bo$980bo174bobo$1156b2o993bo178bo$2150bobo175bobo$
2150b2o177bo$651bo1675b2o$650bobo$651bo$964bo$963bobo174bo$964bo174bob
o$1140b2o993bo$2134bobo$2134b2o$635bo$634bobo$635bo1030b2o$948bo717bo$
947bobo174bo539b3o$948bo174bobo538bo$1124b2o993bo$2118bobo$2118b2o$
619bo414bo$618bobo412b3o$619bo412b4o$932bo100b2o$931bobo174bo$932bo
174bobo$1108b2o993bo$2102bobo$2102b2o$603bo$602bobo$603bo$916bo$915bob
o174bo$916bo174bobo$1092b2o993bo$2086bobo$2086b2o$587bo$586bobo430bo$
587bo430bobo$900bo109b3o6bo698b2o$899bobo108bobo63bo640bobo$900bo107b
2obob2o60bobo639b3o$1008bobobobo61b2o993bo$1008b2obob2o1055bobo$1010bo
bo1057b2o$571bo438b3o1337b3o$570bobo1777bobo$571bo463bo1314b2o$884bo
123b3ob3o19bobo$883bobo122bo5bo20bo24bo$884bo114b3o4b2ob2ob2ob2o4b3o
35bobo$999bobo4bobo2bo2bobo4bobo36b2o993bo$997b2obob2o2bobo2bo2bobo2b
2obob2o1028bobo$997bobobobo5b2ob2o5bobobobo1028b2o$555bo441b2obob2o2bo
bo2bo2bobo2b2obob2o$554bobo442bobo4bobo2bo2bobo4bobo$555bo443b3o4b2ob
2ob2ob2o4b3o$868bo139bo5bo$867bobo138b3ob3o29bo$868bo174bobo$1044b2o
993bo$1010b3o1025bobo$1010bobo1025b2o$539bo468b2obob2o$538bobo467bobob
obo$539bo468b2obob2o$852bo157bobo14bo$851bobo156b3o13bobo$852bo174b2o
744b2o$1772bo250bo$1771bobo248bobo$1771bo250b2o$523bo$522bobo$523bo$
836bo$835bobo$836bo$2007bo$1042bo2bo960bobo$1045bo960b2o$507bo536b2o$
506bobo533b3o$507bo$820bo$819bobo$820bo$1991bo$1990bobo$1990b2o$491bo
1881bo$490bobo1878b3o$491bo1879bo$804bo1565b2o$803bobo$804bo$1825b2o
148bo$1824b4o146bobo$1824b3o147b2o$475bo1349bo$474bobo$475bo$788bo$
787bobo$788bo$1959bo$1958bobo$1958b2o$459bo638bo$458bobo636b2o$459bo
636b2o$772bo$771bobo$772bo$1943bo$1942bobo$1942b2o$443bo$442bobo$443bo
$756bo$755bobo$756bo$1927bo$1926bobo$1880bo45b2o$427bo1451bobo$426bobo
1449bo$427bo1451bo$740bo$739bobo$740bo$1911bo$1910bobo$1910b2o$411bo$
410bobo$411bo740b2o$724bo427bo1241b2o$723bobo424b3o1240b2o$724bo425bo
1242bo2$1899bo$1898bobo$395bo1503b2o$394bobo$395bo$708bo$707bobo$708bo
2$1883bo$1882bobo$379bo1503b2o$378bobo$379bo$692bo$691bobo$692bo2$
1867bo$1866bobo$363bo1503b2o$362bobo$363bo$676bo527b2o$675bobo525bobo$
676bo526b3o2$1851bo$1850bobo$347bo1503b2o$346bobo$347bo$660bo$659bobo$
660bo2$1835bo$1834bobo$331bo1503b2o$330bobo$331bo$644bo$643bobo1769b3o
$644bo1769b2o$2414bo$1819bo594bo2bo$1818bobo$315bo1503b2o$314bobo$315b
o$628bo$627bobo$628bo630b2o$1258bo$1257bobo543bo$1257bo544bobo$299bo
1503b2o$298bobo$299bo$612bo$611bobo$612bo2$1787bo$1786bobo$283bo1503b
2o$282bobo$283bo$596bo$595bobo$596bo2$1771bo$1770bobo$267bo1503b2o$
266bobo$267bo$580bo$579bobo$580bo$1311b2o$1310b4o441bo$1310b3o441bobo$
251bo1059bo443b2o$250bobo$251bo$564bo$563bobo$564bo1872bo$2438bo$1739b
o695bobo$1738bobo695bo$235bo1503b2o$234bobo$235bo$548bo$547bobo$548bo
2$1723bo$1722bobo$219bo1503b2o$218bobo$219bo$532bo$531bobo$532bo2$
1707bo$1366bo339bobo$203bo1161bobo339b2o$202bobo1159bo$203bo1161bo$
516bo$515bobo$516bo2$1691bo$1690bobo$187bo1503b2o$186bobo$187bo$500bo$
499bobo$500bo2$1675bo$1674bobo$171bo1503b2o$170bobo$171bo$484bo$483bob
o$484bo2$1659bo799bo$1658bobo797b3o$155bo1261bo2bo238b2o796b4o$154bobo
1263bo1037b2o$155bo1263b2o$1417b3o2$464b2o$463bobo$463b2o1178bo$1642bo
bo$139bo1503b2o$138bobo$139bo3$448b2o$447bobo$447b2o1178bo$1626bobo$
123bo362bo1140b2o$122bobo359b3o$123bo360bo$483b2o2$432b2o$431bobo$431b
2o1178bo$1610bobo$107bo1503b2o$106bobo$107bo1365bo$1472b2o$1471b2o$
416b2o$415bobo$415b2o1178bo$1594bobo$91bo1503b2o$90bobo$91bo3$400b2o$
399bobo$399b2o1178bo$1578bobo900bo$75bo1503b2o898bobo$74bobo2403bo$75b
o2402b2o3$384b2o$383bobo$383b2o1178bo$1562bobo$59bo1503b2o$58bobo$59bo
2$1527b2o$368b2o1157bo$367bobo1155b3o$367b2o1156bo21bo$1546bobo$1547b
2o3$507b2o$506b2o$352b2o152bo$13bo337bobo$12bobo336b2o1178bo$11bo3bo
1514bobo$10bo5bo1514b2o$11bo3bo$8bo3bobo$7bobo3bo$6bobobo$5bobobobo
324b2o$4bobobobobo322bobo$3bobobobobobo321b2o1178bo$2bobobobobobobo
1499bobo$bobobobobobobobo1499b2o$2bobobobobobobo$3bobobobobobo15b2o3b
2o$4bobobobobo15b9o$5bobobobo15bob2o3b2obo$6bobobo17b9o283b2o1257b2o$
7bobo19b2o3b2o283bobo1256bobo$8bo310b2o1178bo78b3o$1498bobo$41b2o1456b
2o$18b2o19b2o2bo$17bobo12bo6bobobo2457b3o$16b2o13bobo3bo2b3o2458bobo$
17bo14b2o3bo2bo3b2o2455b2o$17b3o9bo9bo264b2o$19bo4bo2b5o8b2o261bobo$bo
20b2ob2o2b4o6bobo4b2o255b2o1178bo$obo19bobo3b2o2b2o6bo4b2o1435bobo$bo
16b2o2b2ob2o2b4o1450b2o$6bo11b3o3bo2b5o$5bobo3b2o16bo$4bobo5b2o3bo14b
2o$5bo6bobo2b2o12bobo$13b2o17bo255b2o$51bo235bobo$51bo235b2o1178bo$17b
o31b3o1414bobo127bo$16bobo1448b2o126bobo$17bo11b2o3b2o6bo1552b2o$4bo
23b9o4bobo$3bobo21bob2o3b2obo4b2o$2bobobo21b9o491b3o$bobobobo21b2o3b2o
236b2o253b2o$2bobobo264bobo253bo$3bobo6b2o257b2o254bo2bo920bo$4bo6bo2b
o1435bobo127bo$12bobo1436b2o126bobo$13bo12bo1552b2o$15bo9bobo$14bobo9b
2o$8bo6bo$7b2o247b2o$6b2o247bobo$255b2o1178bo$1434bobo127bo$1435b2o
126bobo$1563b2o4$240b2o$239bobo$239b2o1178bo$1418bobo127bo$1419b2o126b
obo$1547b2o$2524bo$2522b3o$2522bo$224b2o2295b2o$223bobo$223b2o1178bo$
1402bobo127bo$64b3o1336b2o126bobo$63b2o1466b2o$63bo$63bo2bo46bo$114b2o
$113b2o93b2o$62b2o143bobo$62bo144b2o1178bo$60b3o1323bobo127bo$60bo829b
o496b2o126bobo$889bobo623b2o$890b2o3$192b2o356bo$191bobo357bo$191b2o
355bobo820bo$549bo820bobo127bo$874bo496b2o126bobo$873bobo623b2o$874b2o
3$176b2o$175bobo$175b2o1178bo$1354bobo127bo$858bo496b2o126bobo$857bobo
52b3o568b2o$858b2o51b2o$911bo$911bo2bo$160b2o$159bobo$54bo59b2o43b2o
1178bo$52bo2b5o53bobo1222bobo127bo$52bo3bob2o53b3o726bo496b2o126bobo$
52bo3bo784bobo623b2o$53b3ob2o2bobo778b2o$53b5o3b2o91bo$55b2o2bob2o92bo
$59b3o82b2o6bob2o2389b2o$60bo82bobo7b2o2389b2o$143b2o1178bo1220bo$
1322bobo127bo$826bo496b2o126bobo$131bo693bobo623b2o$87bo42bobo693b2o$
86b2o43b2o$85b3ob3o4b2o$90b2o4b4o$87b3o2bo7bo$58bo32bobobo3bo1207bo$
57bobo30b3o3bob2o1206bobo127bo$58bo28b2o2bobo2bo2b3o708bo496b2o126bobo
$85bo2bo3b2o6bo14bo693bobo623b2o$84bo7b4o5bo12bobo693b2o$84bobobobobo
3bo18b2o$59b2o3b2o18b2obob3o2bo$59b2obob2o20b2o4b2o$59b2o3b2o130bo$60b
o3bo129bobo375bo718bo$61b3o10bo120b2o374b3o716bobo127bo$73bobo494b4o
220bo496b2o126bobo$59b5o10bo24bo471b2o220bobo623b2o$59b2o2bo34bobo693b
2o$59b3obo35b2o$49b2o10bo$48bobo7bo$49b2o7bo9bo$53bo13b3o1205bo$53bo
11b2o2bo1204bobo127bo$64bo3bo709bo496b2o126bobo$58bo4b2ob2o15bo693bobo
623b2o$56bo2bo3b2o7bo9bobo693b2o154bo$56b2o13bobo9b2o850bo$57bobo2b2o
8bo859bobo$58b2obobo869bo$60bo2bo$60b3o1196bo$1258bobo127bo$70bo691bo
496b2o126bobo$69b2o690bobo623b2o$68b2o692b2o4$2566b3o$1243bo1321b2o$
1242bobo127bo1192bo$746bo496b2o126bobo1191bo2bo$745bobo623b2o$746b2o5$
1227bo$1226bobo127bo$730bo496b2o126bobo$729bobo623b2o$730b2o5$1211bo$
594bo615bobo127bo$592bobo119bo496b2o126bobo$593bo119bobo623b2o$124b2o
465b2o121b2o$124bo$122b3o$122bo2$1195bo$1194bobo127bo$276bobo419bo496b
2o126bobo$277b2o418bobo623b2o$257b3o17bo420b2o$257b2o$257bo324bobobobo
367bo$582b7o366b3o$586bobo365b4o$584bob2o367b2o222bo$585bobo590bobo
127bo$682bo496b2o126bobo$681bobo623b2o$581bo100b2o$580b3o2b2o$579b2ob
2o2b2o$579bobobo3bo$578bo2bob2o$579b5o579bo1424bo$1162bobo127bo1296bo$
583bo82bo496b2o126bobo1292bobo$665bobo623b2o1294bo$583bo82b2o$176b2o$
175bobo$175b3o406bo$584bo2bo$586bo20b3o537bo$607bobo536bobo127bo$607bo
bo40bo496b2o126bobo$608bo40bobo623b2o$606bo3bo39b2o$605b2o3b2o$604bo2b
obo2bo$561b3o39b2o7b2o$561b2o14bo15bo5b3o3bo5bo3b3o$576bobo13bobo4bo2b
o11bo2bo513bo$559b2obo3bo10bo15bo5b3o3bo5bo3b3o512bobo127bo$559bobobob
2o15bo5bo14b2o7b2o20bo496b2o126bobo$557b2obobo2b2o14bobo3bobo14bo2bobo
2bo20bobo623b2o$557bobobobo16bobo5bobo14b2o3b2o22b2o$554b2o2bobob2o17b
o7bo16bo3bo$554b2obobobo46bo$554bo3bob2o13b2o30bobo$574b5o28bobo$558b
2o15bo3bo13bo13b3o505bo$557b3o10b2obo5bo12bobo519bobo127bo$569bo3bo5bo
13bo24bo496b2o126bobo$570bob3o3bo38bobo623b2o$571bo3b2o41b2o3$231b2o
341b2o5bo396bo$230bo343bob2o2bobo5b2o386bobo$229bobo342bo2bobo3bo3bo2b
o386bo121bo$229bo345bo3b4o5bobo384b2o121bobo127bo$574bo2bobobo7bo12bo
496b2o126bobo$574bobo2bo11bo9bobo623b2o$359bo214b2o2bobo9bobo9b2o$360b
o218bo11bo$358b3o3$1083bo$1082bobo127bo$1083b2o126bobo1396bo$1211b2o
1396b3o$971bobo1634b4o$971b4o1634b2o$973bobo$974b2o$974bo$1067bo$1066b
obo127bo$967bo3b2o94b2o126bobo$965bobo4b2o221b2o$964bo8bo$965b2ob2o$
968bobo$969b2o$283b2o$282b4o765bo$282b3o77bo687bobo127bo$283bo78bo270b
o417b2o126bobo$360b3o269bobo544b2o$631bo361bo$632bo359b3o$991b2ob2o$
991bobobo$990b3ob3o$1035bo$1034bobo127bo$989bob5obo37b2o126bobo$988bo
3bobo3bo164b2o$985bo15bo$983b3o2bo3b3o3bo2b3o$946bo15bo15bo3b2obo2b2ob
o3bob2o2bob2o$945b3o13bobo13bobob2obo3bo2bo3bo2bo3bob2o$946b2o14bo15bo
3b2obo2b2obo3bob2o2bob2o$944bobob2o17bo5bo9b3o2bo3b3o3bo2b3o15bo$943bo
bob4o15bobo3bobo10bo15bo16bobo127bo$941bo2bobo2bo15bobo5bobo12bo3bobo
3bo20b2o126bobo$940b4obobo18bo7bo14bob5obo149b2o$941b2obobo$943b2o17b
2o$943b3o14bo29b3ob3o$944bo15bobo2bo12bo12bobobo$957bo3bo2bo12bobo11b
2ob2o$956bobo19bo13b3o8bo$338bo616bo2bo34bo8bobo127bo$337bobo615bo10bo
36b2o126bobo$336bo347bo2bo268bobo6b3o163b2o1499bo$337bo349bo271b2o3b2o
b2o1661bobo$686b2o272b2o4b3o1662bo$684b3o274bo5b3o3b2o1654b2o$440bo
519b2o5b3o2bo2bo$441b2o516bobo6bo4bobo$440b2o516bo2bo12bo12bo$958bo2bo
b2o11bo9bobo127bo$959bo3bobo9bobo9b2o126bobo$964bo11bo138b2o7$1100bo$
1099bobo$1099b2o7$1084bo$389bo2bo690bobo$392bo690b2o$391b2o$389b3o348b
o$739b2o$738b2o3$1019bo48bo$1018bobo46bobo$1017bo49b2o$1018bo6$1052bo$
1051bobo$1051b2o3$2652b3o$465bo2186bobo$466bo2185b2o$463bob2o$464b2o$
1040bo$1039bobo$445bo594bo$444b2o$443b2o$794b2o$794bo$792b3o$523bo268b
o$521bobo500bo$522b2o499bobo$1024bo7$1008bo$1007bobo$1008bo7$992bo$
991bobo$992bo2$499b2o$499bo$497b3o346b2o$497bo347bobo$845b3o$976bo$
975bobo$976bo2$2675bo$2673b3o$2673bo$2672b2o2$960bo$959bobo$960bo7$
944bo$943bobo$944bo3$551b2o$550bobo$550b3o$901b2o$900bo27bo$899bobo25b
obo$603bobo293bo28bo$604b2o$604bo6$913b2o$912bobo$913bo7$897b2o$896bob
o$897bo4$606b2o2088b2o$605bo2089b2o$604bobo2088bo$604bo276b2o$880bobo$
881bo7$865b2o$864bobo$865bo7$849b2o$848bobo$849bo5$658b2o$657b4o$657b
3o173b2o$658bo173bobo$833bo$686bo$687bo$685b3o4$817b2o$816bobo$817bo5$
2717b3o$2716b2o$801b2o1913bo$800bobo1913bo2bo$801bo7$713bo71b2o$712bob
o69bobo$711bo73bo$712bo6$769b2o$768bobo$769bo7$753b2o$752bobo$753bo8$
764bo2bo$767bo$766b2o$764b3o4$2739bo$2740bo$2737bobo$2738bo19$820bo$
819b2o$818b2o23$2761bo$2760b3o$2759b4o$2760b2o$874b2o$874bo$872b3o$
872bo25$926b2o$925bobo$925b3o12$2783bo$2781bobo$2782bo$2780b2o12$981b
2o$980bo$979bobo$979bo25$1033b2o$1032b4o$1032b3o$1033bo2$2803b3o$2803b
obo$2803b2o22$1088bo$1087bobo$1086bo$1087bo18$2826bo$2824b3o$2824bo$
2823b2o4$1139bo2bo$1142bo$1141b2o$1139b3o26$1195bo$1194b2o$1193b2o10$
2847b2o$2846b2o$2846bo15$1249b2o$1249bo$1247b3o$1247bo25$1301b2o$1300b
obo1565b3o$1300b3o1564b2o$2867bo$2867bo2bo25$1356b2o$1355bo$1354bobo$
1354bo15$2890bo$2891bo$2888bobo$2889bo7$1408b2o$1407b4o$1407b3o$1408bo
26$1463bo$1462bobo$1461bo$1462bo5$2912bo$2911b3o$2910b4o$2911b2o17$
1514bo2bo$1517bo$1516b2o$1514b3o23$2934bo$2932bobo$2933bo$1570bo1360b
2o$1569b2o$1568b2o27$1624b2o$1624bo$1622b3o$1622bo13$2954b3o$2954bobo$
2954b2o10$1676b2o$1675bobo$1675b3o27$1731b2o$1730bo$1729bobo$1729bo$
2977bo$2975b3o$2975bo$2974b2o21$1783b2o$1782b4o$1782b3o$1783bo21$2998b
2o$2997b2o$2997bo3$1838bo$1837bobo$1836bo$1837bo25$1889bo2bo$1892bo$
1891b2o$1889b3o10$3019b3o$3018b2o$3018bo$3018bo2bo13$1945bo$1944b2o$
1943b2o27$1999b2o$1999bo1041bo$1997b3o1042bo$1997bo1041bobo$3040bo24$
2051b2o$2050bobo$2050b3o18$3063bo$3062b3o$3061b4o$3062b2o6$2106b2o$
2105bo$2104bobo$2104bo25$2158b2o$2157b4o$2157b3o$2158bo6$3085bo$3083bo
bo$3084bo$3082b2o17$2213bo$2212bobo$2211bo$2212bo25$2264bo2bo837b3o$
2267bo837bobo$2266b2o837b2o$2264b3o26$2320bo$2319b2o$2318b2o14$3128bo$
3126b3o$3126bo$3125b2o10$2374b2o$2374bo$2372b3o$2372bo25$2426b2o$2425b
obo$2425b3o5$3149b2o$3148b2o$3148bo20$2481b2o$2480bo$2479bobo$2479bo
21$3170b3o$3169b2o$3169bo$3169bo2bo$2533b2o$2532b4o$2532b3o$2533bo26$
2588bo$2587bobo$2586bo$2587bo10$3192bo$3193bo$3190bobo$3191bo12$2639bo
2bo$2642bo$2641b2o$2639b3o26$2695bo$2694b2o$2693b2o$3214bo$3213b3o$
3212b4o$3213b2o23$2749b2o$2749bo$2747b3o$2747bo17$3236bo$3234bobo$
3235bo$3233b2o5$2801b2o$2800bobo$2800b3o27$2856b2o$2855bo$2854bobo$
2854bo8$3256b3o$3256bobo$3256b2o15$2908b2o$2907b4o$2907b3o$2908bo25$
3279bo$2963bo313b3o$2962bobo312bo$2961bo314b2o$2962bo25$3014bo2bo$
3017bo$3016b2o$3014b3o16$3300b2o$3299b2o$3299bo8$3070bo$3069b2o$3068b
2o27$3124b2o$3124bo$3122b3o$3122bo4$3321b3o$3320b2o$3320bo$3320bo2bo
18$3176b2o$3175bobo$3175b3o23$3343bo$3344bo$3341bobo$3342bo$3231b2o$
3230bo$3229bobo$3229bo25$3283b2o$3282b4o$3282b3o$3283bo12$3365bo$3364b
3o$3363b4o$3364b2o11$3338bo$3337bobo$3336bo$3337bo25$3389bo2bo$3392bo$
3391b2o$3389b3o$3387bo$3385bobo$3386bo$3384b2o22$3445bo$3444b2o$3443b
2o21$3407b3o$3407bobo$3407b2o4$3499b2o$3499bo$3497b3o$3497bo25$3551b2o
$3550bobo$3550b3o9$3430bo$3428b3o$3428bo$3427b2o15$3606b2o$3605bo$
3604bobo$3604bo25$3658b2o$3657b4o$3451b2o204b3o$3450b2o206bo$3450bo25$
3713bo$3712bobo$3711bo$3712bo16$3472b3o$3471b2o$3471bo$3471bo2bo6$
3764bo2bo$3767bo$3766b2o$3764b3o26$3820bo$3819b2o$3818b2o6$3494bo$
3495bo$3492bobo$3493bo18$3874b2o$3874bo$3872b3o$3872bo23$3516bo$3515b
3o$3514b4o408b2o$3515b2o408bobo$3925b3o27$3981b2o$3980bo$3979bobo$
3979bo12$3538bo$3536bobo$3537bo$3535b2o10$4033b2o$4032b4o$4032b3o$
4033bo26$4088bo$4087bobo$4086bo$4087bo3$3558b3o$3558bobo$3558b2o20$
4139bo2bo$4142bo$4141b2o$4139b3o20$3581bo$3579b3o$3579bo$3578b2o3$
4195bo$4194b2o$4193b2o27$4249b2o$4249bo$4247b3o$4247bo10$3602b2o$3601b
2o$3601bo13$4301b2o$4300bobo$4300b3o27$4356b2o$4355bo$3623b3o728bobo$
3622b2o730bo$3622bo$3622bo2bo23$4408b2o$4407b4o$4407b3o$4408bo17$3645b
o$3646bo$3643bobo$3644bo6$4463bo$4462bobo$4461bo$4462bo25$4514bo2bo$
4517bo$4516b2o$4514b3o7$3667bo$3666b3o$3665b4o$3666b2o16$4570bo$4569b
2o$4568b2o25$3689bo$3687bobo$3688bo935b2o$3686b2o936bo$4622b3o$4622bo
25$4676b2o$4675bobo$4675b3o16$3709b3o$3709bobo$3709b2o9$4731b2o$4730bo
$4729bobo$4729bo25$4783b2o$4782b4o$4782b3o$4783bo3$3732bo$3730b3o$
3730bo$3729b2o20$4838bo$4837bobo$4836bo$4837bo22$3753b2o$3752b2o$3752b
o$4889bo2bo$4892bo$4891b2o$4889b3o26$4945bo$4944b2o$4943b2o12$3774b3o$
3773b2o$3773bo$3773bo2bo12$4999b2o$4999bo$4997b3o$4997bo25$5051b2o$
5050bobo$5050b3o$3796bo$3797bo$3794bobo$3795bo23$5106b2o$5105bo$5104bo
bo$5104bo18$3818bo$3817b3o$3816b4o$3817b2o4$5158b2o$5157b4o$5157b3o$
5158bo26$5213bo$5212bobo$5211bo$5212bo7$3840bo$3838bobo$3839bo$3837b2o
15$5264bo2bo$5267bo$5266b2o$5264b3o26$5320bo$3860b3o1456b2o$3860bobo
1455b2o$3860b2o26$5374b2o$5374bo$5372b3o$5372bo14$3883bo$3881b3o$3881b
o$3880b2o8$5426b2o$5425bobo$5425b3o27$5481b2o$5480bo$5479bobo$5479bo5$
3904b2o$3903b2o$3903bo18$5533b2o$5532b4o$5532b3o$5533bo23$3925b3o$
3924b2o$3924bo$3924bo2bo1660bo$5587bobo$5586bo$5587bo25$5639bo2bo$
5642bo$5641b2o$5639b3o12$3947bo$3948bo$3945bobo$3946bo11$5695bo$5694b
2o$5693b2o27$5749b2o$5749bo$5747b3o$5747bo$3969bo$3968b3o$3967b4o$
3968b2o21$5801b2o$5800bobo$5800b3o20$3991bo$3989bobo$3990bo$3988b2o4$
5856b2o$5855bo$5854bobo$5854bo25$5908b2o$5907b4o$5907b3o$5908bo10$
4011b3o$4011bobo$4011b2o14$5963bo$5962bobo$5961bo$5962bo25$6014bo2bo$
4034bo1982bo$4032b3o1981b2o$4032bo1981b3o$4031b2o25$6070bo$6069b2o$
6068b2o18$4055b2o$4054b2o$4054bo7$6124b2o$6124bo$6122b3o$6122bo25$
6176b2o$6175bobo$6175b3o7$4076b3o$4075b2o$4075bo$4075bo2bo17$6231b2o$
6230bo$6229bobo$6229bo23$4098bo$4099bo$4096bobo2184b2o$4097bo2184b4o$
6282b3o$6283bo26$6338bo$6337bobo$6336bo$6337bo13$4120bo$4119b3o$4118b
4o$4119b2o9$6389bo2bo$6392bo$6391b2o$6389b3o26$6445bo$6444b2o$6443b2o
3$4142bo$4140bobo$4141bo$4139b2o21$6499b2o$6499bo$6497b3o$6497bo21$
4162b3o$4162bobo$4162b2o2$6551b2o$6550bobo$6550b3o27$6606b2o$6605bo$
6604bobo$6604bo9$4185bo$4183b3o$4183bo$4182b2o13$6658b2o$6657b4o$6657b
3o$6658bo26$6713bo$6712bobo$6711bo$4206b2o2504bo$4205b2o$4205bo23$
6764bo2bo$6767bo$6766b2o$6764b3o18$4227b3o$4226b2o$4226bo$4226bo2bo5$
6820bo$6819b2o$6818b2o27$6874b2o$6874bo$6872b3o$6872bo6$4249bo$4250bo$
4247bobo$4248bo16$6926b2o$6925bobo$6925b3o26$4271bo$4270b3o2708b2o$
4269b4o2707bo$4270b2o2707bobo$6979bo25$7033b2o$7032b4o$7032b3o$7033bo
14$4293bo$4291bobo$4292bo$4290b2o9$7088bo$7087bobo$7086bo$7087bo25$
7139bo2bo$7142bo$7141b2o$7139b3o5$4313b3o$4313bobo$4313b2o19$7195bo$
7194b2o$7193b2o22$4336bo$4334b3o$4334bo$4333b2o2$7249b2o$7249bo$7247b
3o$7247bo25$7301b2o$7300bobo$7300b3o13$4357b2o$4356b2o$4356bo12$7356b
2o$7355bo$7354bobo$7354bo25$7408b2o$7407b4o$7407b3o$7408bo$4378b3o$
4377b2o$4377bo$4377bo2bo22$7463bo$7462bobo$7461bo$7462bo18$4400bo$
4401bo$4398bobo$4399bo4$7514bo2bo$7517bo$7516b2o$7514b3o26$7570bo$
7569b2o$7568b2o9$4422bo$4421b3o$4420b4o$4421b2o15$7624b2o$7624bo$7622b
3o$7622bo25$4444bo3231b2o$4442bobo3230bobo$4443bo3231b3o$4441b2o26$
7731b2o$7730bo$7729bobo$7729bo16$4464b3o$4464bobo$4464b2o7$7783b2o$
7782b4o$7782b3o$7783bo26$7838bo$7837bobo$7836bo$7837bo4$4487bo$4485b3o
$4485bo$4484b2o18$7889bo2bo$7892bo$7891b2o$7889b3o24$4508b2o$4507b2o$
4507bo3437bo$7944b2o$7943b2o27$7999b2o$7999bo$7997b3o$7997bo12$4529b3o
$4528b2o$4528bo$4528bo2bo10$8051b2o$8050bobo$8050b3o27$8106b2o$8105bo$
8104bobo$8104bo$4551bo$4552bo$4549bobo$4550bo21$8158b2o$8157b4o$8157b
3o$8158bo20$4573bo$4572b3o$4571b4o$4572b2o3$8213bo$8212bobo2bo$8211bo
4bobo$8212bo4b2o7$8201bo$8200bobo$8201b2o7$8185bo$8184bobo$8185b2o7$
8169bo$8168bobo$8169b2o25b2o$8197bo$8197b3o$8199bo4$8153bo$8152bobo$
8153b2o$4595bo$4593bobo$4594bo$4592b2o3$8137bo$8136bobo$8137b2o7$8121b
o$8120bobo$8121b2o$8176b2o$8176bobo$8176b3o4$8105bo$8104bobo$8105b2o7$
8089bo$8088bobo$8089b2o7$8073bo$8072bobo$8073b2o3$8153b2o$4615b3o3537b
o$4615bobo3536bobo$4615b2o3539bo$8057bo$8056bobo$8057b2o7$8041bo$8040b
obo$8041b2o7$8025bo$8024bobo$8025b2o4$8133b2o$8132b4o$8133b3o$8009bo
124bo$8008bobo$8009b2o7$7993bo$7992bobo$7993b2o4$4638bo$4636b3o$4636bo
$4635b2o3340bo$7976bobo$7977b2o6$8111bo$7961bo148bobo$7960bobo150bo$
7961b2o149bo7$7945bo$7944bobo$7945b2o7$7929bo$7928bobo$7929b2o7$7913bo
$7912bobo$7913b2o5$8081bo$8080bobo$4659b2o3236bo183b2o$4658b2o3236bobo
$4658bo3238b2o5$8065bo$8064bobo$7881bo183b2o$7880bobo$7881b2o5$8049bo$
8048bobo$7865bo183b2o$7864bobo$7865b2o5$8033bo$8032bobo$7849bo183b2o$
7848bobo$7849b2o5$8017bo$8016bobo$7833bo183b2o$7832bobo$7833b2o5$8001b
o$8000bobo$7817bo183b2o$4680b3o3133bobo$4679b2o3136b2o$4679bo$4679bo2b
o3$7985bo$7984bobo$7801bo183b2o$7800bobo$7801b2o5$7969bo$7968bobo$
7785bo183b2o$7784bobo$7785b2o5$7953bo$7952bobo$7769bo183b2o$7768bobo$
7769b2o5$7937bo$7936bobo$7753bo183b2o$7752bobo$7753b2o5$7921bo$7920bob
o$7737bo183b2o$7736bobo$4702bo3034b2o$4703bo$4700bobo$4701bo2$7905bo$
7904bobo$7721bo183b2o$7720bobo$7721b2o5$7889bo$7888bobo$7705bo183b2o$
7704bobo$7705b2o5$7873bo$7872bobo$7689bo183b2o$7688bobo$7689b2o5$7857b
o$7856bobo$7673bo183b2o$7672bobo$7673b2o5$7841bo$7840bobo$7657bo183b2o
$7656bobo$7657b2o2$4724bo$4723b3o$4722b4o$4723b2o3100bo$7824bobo$7641b
o183b2o$7640bobo$7641b2o5$7809bo$7808bobo$7625bo183b2o$7624bobo$7625b
2o5$7793bo$7792bobo$7609bo183b2o$7608bobo$7609b2o5$7777bo$7776bobo$
7593bo183b2o$7592bobo$7593b2o5$7761bo$7760bobo$7577bo183b2o$7576bobo$
7577b2o3$4746bo$4744bobo$4745bo2999bo$4743b2o2999bobo$7561bo183b2o$
7560bobo$7561b2o5$7729bo$7728bobo$7545bo183b2o$7544bobo$7545b2o5$7713b
o$7712bobo$7529bo183b2o$7528bobo$7529b2o5$7697bo$7696bobo$7513bo183b2o
$7512bobo$7513b2o5$7681bo$7680bobo$7497bo183b2o$7496bobo$7497b2o5$
7665bo$4766b3o2895bobo$4766bobo2712bo183b2o$4766b2o2712bobo$7481b2o5$
7649bo$7648bobo$7465bo183b2o$7464bobo$7465b2o5$7633bo$7632bobo$7449bo
183b2o$7448bobo$7449b2o5$7617bo$7616bobo$7433bo183b2o$7432bobo$7433b2o
5$7601bo$7600bobo$7417bo183b2o$7416bobo$7417b2o5$7585bo$4789bo2794bobo
$4787b3o2611bo183b2o$4787bo2612bobo$4786b2o2613b2o5$7569bo$7568bobo$
7385bo183b2o$7384bobo$7385b2o5$7553bo$7552bobo$7369bo183b2o$7368bobo$
7369b2o5$7537bo$7536bobo$7353bo183b2o$7352bobo$7353b2o5$7521bo$7520bob
o$7337bo183b2o$7336bobo$7337b2o5$7505bo$7504bobo$7321bo183b2o$7320bobo
$4810b2o2509b2o$4809b2o$4809bo3$7489bo$7488bobo$7305bo183b2o$7304bobo$
7305b2o5$7473bo$7472bobo$7289bo183b2o$7288bobo$7289b2o5$7457bo$7456bob
o$7273bo183b2o$7272bobo$7273b2o5$7441bo$7440bobo$7257bo183b2o$7256bobo
$7257b2o5$7425bo$7424bobo$7241bo183b2o$7240bobo$7241b2o$4831b3o$4830b
2o$4830bo$4830bo2bo$7409bo$7408bobo$7225bo183b2o$7224bobo$7225b2o5$
7393bo$7392bobo$7209bo183b2o$7208bobo$7209b2o5$7057bo319bo$7056bobo
317bobo$7057b2o134bo183b2o$7060b2o130bobo$7058b2o133b2o$7058bo$7058bo
2bo3$7041bo319bo$7040bobo317bobo$7041b2o134bo183b2o$7176bobo$7177b2o5$
7025bo319bo$7024bobo317bobo$7025b2o134bo183b2o$7160bobo$7161b2o2$4853b
o$4854bo$4851bobo$4852bo2156bo319bo$7008bobo317bobo$7009b2o134bo183b2o
$7144bobo$7145b2o5$6993bo319bo$6992bobo317bobo$6993b2o134bo183b2o$
7128bobo$7129b2o5$6977bo319bo$6976bobo317bobo$6977b2o134bo183b2o$7112b
obo$7081bo31b2o$7082bo$7079bobo$7080bo2$6961bo319bo$6960bobo317bobo$
6961b2o134bo183b2o$7096bobo$7097b2o5$6945bo319bo$6944bobo317bobo$6945b
2o134bo183b2o$7080bobo$7081b2o4$4875bo$4874b3o2052bo319bo$4873b4o2051b
obo317bobo$4874b2o2053b2o134bo183b2o$7064bobo$7065b2o5$6913bo319bo$
6912bobo317bobo$6913b2o134bo183b2o$7048bobo$7049b2o5$6897bo319bo$6896b
obo317bobo$6897b2o134bo183b2o$7032bobo$7033b2o2$7103bo$6528bo573b3o$
6527bobo571b4o$6528bo5b3o344bo220b2o97bo$6533b2o345bobo317bobo$6533bo
347b2o134bo183b2o$6533bo2bo479bobo$7017b2o3$6512bo$6511bobo573b3o$
6512bo352bo220bo3bo94bo$6864bobo219bo3bo93bobo$6865b2o134bo83bo2bo2bo
93b2o$7000bobo82b7o$7001b2o82bo5bo$7082b3obobobob3o$7080b2obobobobobob
ob2o$6496bo582bo3bo2bobobo2bo3bo$6495bobo581bo2b2obobobobob2o2bo$4897b
o1598bo352bo229bo3bo2bobobo2bo3bo71bo$4895bobo1950bobo229b2obobobobobo
bob2o71bobo$4896bo1952b2o134bo96b3obobobob3o74b2o$4894b2o2088bobo98bo
5bo$6985b2o98b7o$7085bo2bo2bo7bo$7086bo3bo7bobo$6480bo605bo3bo8bo$
6479bobo605b3o$6480bo352bo248b2o69bo$6832bobo247bobo67bobo$6833b2o134b
o113bo69b2o$6968bobo$6969b2o105bo23bo$7075bobo21bobo8b3o$7066bo7bo3bo
19bo3bo6b3o$6464bo600b3o5bob4o19b4obo5bo3bo$6463bobo598b3obo5b2o25b2o
5b2o4bo$6464bo352bo241bo2bo5b2o15bo5bo17bo3bo23bo$6816bobo241bobo5bo
15bobo3bobo19bo23bobo$6817b2o134bo104bo2b2o3b3o14bobo5bobo16b2o25b2o$
6952bobo102b3o2bo21bo7bo$6953b2o101b2o2bobo$7057b3o2bo14b2o19b2o$7058b
o2b2o3b3o8bobo17bobo$6448bo611bobo5bo8b2o19b2o$6447bobo174bo434bo2bo5b
2o$6448bo174bobo175bo262b3obo5b2o25b2o18bo$6556bo67b2o174bobo262b3o5bo
b4o19b4obo16bobo$6557bo243b2o134bo128bo7bo3bo19bo3bo18b2o$6554bobo379b
obo136bobo21bobo$6555bo381b2o137bo23bo$7081b2o2bob3obo2b2o$7080bobo2b
2o3b2o2bobo$6432bo646bo2bo11bo2bo$6431bobo174bo471bob2o9b2obo7bo$6432b
o174bobo175bo295bobo9bobo7bobo$6608b2o174bobo295bo11bo9b2o$6785b2o134b
o$6920bobo$6921b2o$6535bo548bo7bo$6534bobo546b4o3b4o$6416bo118bo546bo
3bo3bo3bo$6415bobo108b3o63bo488b3o2bo3bo2b3o$6416bo109bobo62bobo175bo
312b2o9b2o$6525bo3bo62b2o174bobo312bo9bo$6524bobobobo238b2o134bo$4917b
3o1604b2o3b2o373bobo177b9o$4917bobo1604bobobobo374b2o179bo3bo$4917b2o
1605b2o3b2o554bo2bo2bo$6525bo3bo21bo532bo2bobo2bo$6400bo149bobo533b2ob
2o$6399bobo125bo23bo24bo510b3o$6400bo116b4o13b4o37bobo80bo94bo334bo$
6516bobob2o4bobo4b2obobo37b2o81bo92bobo$6514b2obobo5bobobo5bobob2o115b
obo94b2o134bo237bo2bo$6514bo8bo2bobo2bo8bo116bo230bobo239bo$6514b2obob
o5bobobo5bobob2o348b2o238b2o$6516bobob2o4bobo4b2obobo588b3o$6517b4o13b
4o$6384bo142bo$6383bobo174bo$6384bo140bo3bo29bobo175bo$6524b2o3b2o29b
2o174bobo$6524bobobobo206b2o134bo$6524b2o3b2o10b2o329bobo$6524bobobobo
10b2o5bo324b2o$6525bo3bo15b5o$6526bobo14b4o2b2o89bo$6368bo157b3o13bo2b
o2b2o89bobo$6367bobo172bobob2o91b3o$6368bo174bo2b2o88bo3bo3bo76bo$
6720bobo$6636bo7bo76b2o134bo$6639b2o215bobo$6638b3o216b2o$6554bo85bo$
6553b2o82bo$6352bo199b2o84b2o9b3o$6351bobo294bo$6352bo281b2o6b2o4b3o
54bo$6634bobo4bobo5bo54bobo$6635bo4b2obo61b2o134bo$6639bo2b2o196bobo$
6641bobo197b2o340bo$6640bob2o538b2o$6640bo2bo537b2o$6336bo290b2o11bobo
9b2o10bo$6335bobo284bo4bobo6bo2bobo2bo6bobo4bo4bobo$6336bo281bobo3bo3b
o6bobo2bo2bobo6bo3bo3bo3bo24bo$6621bo2bo11bobo3bobo11bo2bo28bobo$6621b
o2bo12bo5bo12bo2bo29b2o134bo$4940bo1675b2o2b2ob2o7b2o13b2o7b2ob2o2b2o
159bobo$4938b3o1674bob2obo3bo6bobo13bobo6bo3bob2obo159b2o$4938bo1677b
2o2b2ob2o7b2o13b2o7b2ob2o2b2o$4937b2o1682bo2bo12bo5bo12bo2bo$6320bo
300bo2bo11bobo3bobo11bo2bo$6319bobo296bobo3bo3bo6bobo5bobo6bo3bo3bobo$
6320bo301bo4bobo6bo7bo6bobo4bo14bo$6627b2o23b2o18bobo$6639b3o31b2o134b
o$6639bobo166bobo$6640bo168b2o2$6635bo9bo$6304bo303b2o24bobo7bobo$
6303bobo302bo25b2o9b2o9bo$6304bo301b3o46bobo$6606bo49b2o$6636b9o148bo$
6639bobo150bobo$6635bo9bo147b2o$6637b3ob3o$6636bo2b3o2bo592b2o$6288bo
948bo$6287bobo346bo3bo3bo590b3o$6288bo350b3o593bo$6639bobo$6640bo136bo
$6776bobo$6777b2o3$6272bo$6271bobo404bo$6272bo404b2o$6676b2o$6761bo$
6760bobo$6761b2o3$6256bo$6255bobo402b2o$6256bo402bobo$6659b3o$6745bo$
6744bobo$6745b2o2$4961b2o$4960b2o1278bo1048b2o$4960bo1278bobo1046bobo$
6240bo1047b3o2$6729bo$6728bobo$6729b2o3$6224bo$6223bobo$6224bo2$6713bo
$6712bobo$6713b2o3$6208bo$6207bobo$6208bo$6715b2o$6697bo16bo$6696bobo
14bobo$6697b2o14bo3$6192bo$6191bobo$6192bo1151b2o$7343bo$6681bo660bobo
$6680bobo659bo$6681b2o3$6176bo$6175bobo$6176bo2$6665bo$6664bobo$6665b
2o3$4982b3o1175bo$4981b2o1176bobo$4981bo1178bo$4981bo2bo$6649bo117b2o$
6648bobo115b4o$6649b2o115b3o$6767bo2$6144bo$6143bobo$6144bo$7396b2o$
6633bo761b4o$6632bobo760b3o$6633b2o761bo3$6128bo$6127bobo$6128bo2$
6617bo$6616bobo$6617b2o3$6112bo$6111bobo$6112bo2$6601bo$6600bobo$6601b
2o219bo$6821bobo$6820bo$6096bo724bo$6095bobo$6096bo2$6585bo$6584bobo
864bo$6585b2o863bobo$7449bo$7450bo$6080bo$5004bo1074bobo$5005bo1074bo$
5002bobo$5003bo1565bo$6568bobo$6569b2o3$6064bo$6063bobo$6064bo2$6553bo
$6552bobo$6553b2o$6873bo2bo$6876bo$6048bo826b2o$6047bobo823b3o$6048bo
2$6537bo$6536bobo$6537b2o963bo2bo$7505bo$7504b2o$6032bo1469b3o$6031bob
o$6032bo2$6521bo$6520bobo$6521b2o993bo$7515bobo$7515b2o$6016bo$6015bob
o$6016bo2$6505bo$6504bobo$6505b2o993bo$7499bobo$7499b2o$6000bo928bo$
5999bobo926b2o$6000bo926b2o$5026bo1286bo$5025b3o1284bobo174bo$5024b4o
1285bo174bobo$5025b2o1462b2o993bo$7483bobo$7483b2o$5984bo$5983bobo$
5984bo$6297bo$6296bobo174bo$6297bo174bobo$6473b2o993bo$7467bobo$7467b
2o$5968bo$5967bobo$5968bo$6281bo$6280bobo174bo$6281bo174bobo$6457b2o
993bo$7451bobo$7451b2o$5952bo$5951bobo$5952bo1030b2o$6265bo717bo$6264b
obo174bo539b3o$6265bo174bobo538bo$6441b2o993bo$7435bobo$7435b2o$5936bo
414bo$5935bobo412b3o$5936bo412b4o$6249bo100b2o$6248bobo174bo$6249bo
174bobo$6425b2o993bo$7419bobo$7419b2o$5920bo$5919bobo$5920bo$6233bo$
5048bo1183bobo174bo$5046bobo1184bo174bobo$5047bo1361b2o993bo$5045b2o
2356bobo$7403b2o$5904bo$5903bobo430bo$5904bo430bobo$6217bo109b3o6bo
698b2o$6216bobo108bobo63bo640bobo$6217bo107b2obob2o60bobo639b3o$6325bo
bobobo61b2o993bo$6325b2obob2o1055bobo$6327bobo1057b2o$5888bo438b3o$
5887bobo$5888bo463bo$6201bo123b3ob3o19bobo$6200bobo122bo5bo20bo24bo$
6201bo114b3o4b2ob2ob2ob2o4b3o35bobo$6316bobo4bobo2bo2bobo4bobo36b2o
993bo$6314b2obob2o2bobo2bo2bobo2b2obob2o1028bobo$6314bobobobo5b2ob2o5b
obobobo1028b2o$5872bo441b2obob2o2bobo2bo2bobo2b2obob2o$5871bobo442bobo
4bobo2bo2bobo4bobo$5872bo443b3o4b2ob2ob2ob2o4b3o$6185bo139bo5bo$6184bo
bo138b3ob3o29bo$6185bo174bobo$6361b2o993bo$6327b3o1025bobo$6327bobo
1025b2o$5856bo468b2obob2o$5855bobo467bobobobo$5856bo468b2obob2o$6169bo
157bobo14bo$6168bobo156b3o13bobo$6169bo174b2o744b2o$7089bo250bo$7088bo
bo248bobo$7088bo250b2o$5840bo$5839bobo$5840bo$6153bo$6152bobo$6153bo$
7324bo$5068b3o1288bo2bo960bobo$5068bobo1291bo960b2o$5068b2o754bo536b2o
$5823bobo533b3o$5824bo$6137bo$6136bobo$6137bo$7308bo$7307bobo$7307b2o$
5808bo$5807bobo$5808bo$6121bo$6120bobo$6121bo$7142b2o148bo$7141b4o146b
obo$7141b3o147b2o$5792bo1349bo$5791bobo$5792bo$6105bo$6104bobo$6105bo$
7276bo$7275bobo$7275b2o$5776bo638bo$5775bobo636b2o$5776bo636b2o$6089bo
$6088bobo$6089bo$7260bo$7259bobo$7259b2o$5760bo$5759bobo$5760bo$6073bo
$6072bobo$6073bo$7244bo$5091bo2151bobo$5089b3o2105bo45b2o$5089bo654bo
1451bobo$5088b2o653bobo1449bo$5744bo1451bo$6057bo$6056bobo$6057bo$
7228bo$7227bobo$7227b2o$5728bo$5727bobo$5728bo740b2o$6041bo427bo$6040b
obo424b3o$6041bo425bo2$7216bo$7215bobo$5712bo1503b2o$5711bobo$5712bo$
6025bo$6024bobo$6025bo2$7200bo$7199bobo$5696bo1503b2o$5695bobo$5696bo$
6009bo$6008bobo$6009bo2$7184bo$7183bobo$5680bo1503b2o$5679bobo$5680bo$
5993bo527b2o$5992bobo525bobo$5993bo526b3o2$7168bo$7167bobo$5664bo1503b
2o$5112b2o549bobo$5111b2o551bo$5111bo865bo$5976bobo$5977bo2$7152bo$
7151bobo$5648bo1503b2o$5647bobo$5648bo$5961bo$5960bobo$5961bo2$7136bo$
7135bobo$5632bo1503b2o$5631bobo$5632bo$5945bo$5944bobo$5945bo630b2o$
6575bo$6574bobo543bo$6574bo544bobo$5616bo1503b2o$5615bobo$5616bo$5929b
o$5928bobo$5929bo2$7104bo$7103bobo$5600bo1503b2o$5599bobo$5600bo$5913b
o$5912bobo$5913bo2$7088bo$7087bobo$5584bo1503b2o$5583bobo$5133b3o448bo
$5132b2o763bo$5132bo763bobo$5132bo2bo761bo$6628b2o$6627b4o441bo$6627b
3o441bobo$5568bo1059bo443b2o$5567bobo$5568bo$5881bo$5880bobo$5881bo2$
7056bo$7055bobo$5552bo1503b2o$5551bobo$5552bo$5865bo$5864bobo$5865bo2$
7040bo$7039bobo$5536bo1503b2o$5535bobo$5536bo$5849bo$5848bobo$5849bo2$
7024bo$6683bo339bobo$5520bo1161bobo339b2o$5519bobo1159bo$5520bo1161bo$
5833bo$5832bobo$5833bo2$7008bo$7007bobo$5504bo1503b2o$5503bobo$5504bo$
5155bo661bo$5156bo659bobo$5153bobo661bo$5154bo$6992bo$6991bobo$5488bo
1503b2o$5487bobo$5488bo$5801bo$5800bobo$5801bo2$6976bo$6975bobo$5472bo
1261bo2bo238b2o$5471bobo1263bo$5472bo1263b2o$6734b3o2$5781b2o$5780bobo
$5780b2o1178bo$6959bobo$5456bo1503b2o$5455bobo$5456bo3$5765b2o$5764bob
o$5764b2o1178bo$6943bobo$5440bo362bo1140b2o$5439bobo359b3o$5440bo360bo
$5800b2o2$5749b2o$5748bobo$5748b2o1178bo$6927bobo$5424bo1503b2o$5423bo
bo$5424bo1365bo$6789b2o$6788b2o$5177bo555b2o$5176b3o553bobo$5175b4o
553b2o1178bo$5176b2o1733bobo$5408bo1503b2o$5407bobo$5408bo3$5717b2o$
5716bobo$5716b2o1178bo$6895bobo$5392bo1503b2o$5391bobo$5392bo3$5701b2o
$5700bobo$5700b2o1178bo$6879bobo$5376bo1503b2o$5375bobo$5376bo2$6844b
2o$5685b2o1157bo$5684bobo1155b3o$5684b2o1156bo21bo$6863bobo$6864b2o3$
5824b2o$5823b2o$5669b2o152bo$5330bo337bobo$5329bobo336b2o1178bo$5328bo
3bo1514bobo$5327bo5bo1514b2o$5328bo3bo$5325bo3bobo$5324bobo3bo$5323bob
obo$5322bobobobo324b2o$5199bo121bobobobobo322bobo$5197bobo120bobobobob
obo321b2o1178bo$5198bo120bobobobobobobo1499bobo$5196b2o120bobobobobobo
bobo1499b2o$5319bobobobobobobo$5320bobobobobobo15b2o3b2o$5321bobobobob
o15b9o$5322bobobobo15bob2o3b2obo$5323bobobo17b9o283b2o1257b2o$5324bobo
19b2o3b2o283bobo1256bobo$5325bo310b2o1178bo78b3o$6815bobo$5358b2o1456b
2o$5335b2o19b2o2bo$5334bobo12bo6bobobo$5333b2o13bobo3bo2b3o$5334bo14b
2o3bo2bo3b2o$5334b3o9bo9bo264b2o$5336bo4bo2b5o8b2o261bobo$5318bo20b2ob
2o2b4o6bobo4b2o255b2o1178bo$5317bobo19bobo3b2o2b2o6bo4b2o1435bobo$
5318bo16b2o2b2ob2o2b4o1450b2o$5323bo11b3o3bo2b5o$5322bobo3b2o16bo$
5321bobo5b2o3bo14b2o$5322bo6bobo2b2o12bobo$5330b2o17bo255b2o$5368bo
235bobo$5368bo235b2o1178bo$5334bo31b3o1414bobo127bo$5333bobo1448b2o
126bobo$5334bo11b2o3b2o6bo1552b2o$5321bo23b9o4bobo$5320bobo21bob2o3b2o
bo4b2o$5319bobobo21b9o491b3o$5318bobobobo21b2o3b2o236b2o253b2o$5319bob
obo264bobo253bo$5320bobo6b2o257b2o254bo2bo920bo$5321bo6bo2bo1435bobo
127bo$5329bobo1436b2o126bobo$5330bo12bo1552b2o$5332bo9bobo$5331bobo9b
2o$5325bo6bo$5324b2o247b2o$5323b2o247bobo$5572b2o1178bo$6751bobo127bo$
5219b3o1530b2o126bobo$5219bobo1658b2o$5219b2o3$5557b2o$5556bobo$5556b
2o1178bo$6735bobo127bo$6736b2o126bobo$6864b2o4$5541b2o$5540bobo$5540b
2o1178bo$6719bobo127bo$5381b3o1336b2o126bobo$5380b2o1466b2o$5380bo$
5380bo2bo46bo$5431b2o$5430b2o93b2o$5379b2o143bobo$5379bo144b2o1178bo$
5377b3o1323bobo127bo$5377bo829bo496b2o126bobo$6206bobo623b2o$6207b2o3$
5509b2o356bo$5508bobo357bo$5508b2o355bobo820bo$5866bo820bobo127bo$
6191bo496b2o126bobo$6190bobo623b2o$6191b2o3$5493b2o$5492bobo$5492b2o
1178bo$6671bobo127bo$5242bo932bo496b2o126bobo$5240b3o931bobo52b3o568b
2o$5240bo934b2o51b2o$5239b2o987bo$6228bo2bo$5477b2o$5476bobo$5371bo59b
2o43b2o1178bo$5369bo2b5o53bobo1222bobo127bo$5369bo3bob2o53b3o726bo496b
2o126bobo$5369bo3bo784bobo623b2o$5370b3ob2o2bobo778b2o$5370b5o3b2o91bo
$5372b2o2bob2o92bo$5376b3o82b2o6bob2o$5377bo82bobo7b2o$5460b2o1178bo$
6639bobo127bo$6143bo496b2o126bobo$5448bo693bobo623b2o$5404bo42bobo693b
2o$5403b2o43b2o$5402b3ob3o4b2o$5407b2o4b4o$5404b3o2bo7bo$5375bo32bobob
o3bo1207bo$5374bobo30b3o3bob2o1206bobo127bo$5375bo28b2o2bobo2bo2b3o
708bo496b2o126bobo$5402bo2bo3b2o6bo14bo693bobo623b2o$5401bo7b4o5bo12bo
bo693b2o$5401bobobobobo3bo18b2o$5376b2o3b2o18b2obob3o2bo$5376b2obob2o
20b2o4b2o$5376b2o3b2o130bo$5377bo3bo129bobo375bo718bo$5378b3o10bo120b
2o374b3o716bobo127bo$5390bobo494b4o220bo496b2o126bobo$5376b5o10bo24bo
471b2o220bobo623b2o$5376b2o2bo34bobo693b2o$5376b3obo35b2o$5366b2o10bo$
5365bobo7bo$5366b2o7bo9bo$5370bo13b3o1205bo$5370bo11b2o2bo1204bobo127b
o$5381bo3bo709bo496b2o126bobo$5375bo4b2ob2o15bo693bobo623b2o$5373bo2bo
3b2o7bo9bobo693b2o154bo$5263b2o108b2o13bobo9b2o850bo$5262b2o110bobo2b
2o8bo859bobo$5262bo112b2obobo869bo$5377bo2bo$5377b3o1196bo$6575bobo
127bo$5387bo691bo496b2o126bobo$5386b2o690bobo623b2o$5385b2o692b2o5$
6560bo$6559bobo127bo$6063bo496b2o126bobo$6062bobo623b2o$6063b2o5$6544b
o$6543bobo127bo$6047bo496b2o126bobo$6046bobo623b2o$6047b2o5$6528bo$
5911bo615bobo127bo$5909bobo119bo496b2o126bobo$5910bo119bobo623b2o$
5441b2o465b2o121b2o$5441bo$5439b3o$5439bo2$6512bo$6511bobo127bo$5593bo
bo419bo496b2o126bobo$5594b2o418bobo623b2o$5574b3o17bo420b2o$5574b2o$
5284b3o287bo324bobobobo367bo$5283b2o614b7o366b3o$5283bo619bobo365b4o$
5283bo2bo614bob2o367b2o222bo$5902bobo590bobo127bo$5999bo496b2o126bobo$
5998bobo623b2o$5898bo100b2o$5897b3o2b2o$5896b2ob2o2b2o$5896bobobo3bo$
5895bo2bob2o$5896b5o579bo$6479bobo127bo$5900bo82bo496b2o126bobo$5982bo
bo623b2o$5900bo82b2o$5493b2o$5492bobo$5492b3o406bo$5901bo2bo$5903bo20b
3o537bo$5924bobo536bobo127bo$5924bobo40bo496b2o126bobo$5925bo40bobo
623b2o$5923bo3bo39b2o$5922b2o3b2o$5921bo2bobo2bo$5878b3o39b2o7b2o$
5878b2o14bo15bo5b3o3bo5bo3b3o$5893bobo13bobo4bo2bo11bo2bo513bo$5876b2o
bo3bo10bo15bo5b3o3bo5bo3b3o512bobo127bo$5876bobobob2o15bo5bo14b2o7b2o
20bo496b2o126bobo$5874b2obobo2b2o14bobo3bobo14bo2bobo2bo20bobo623b2o$
5874bobobobo16bobo5bobo14b2o3b2o22b2o$5871b2o2bobob2o17bo7bo16bo3bo$
5871b2obobobo46bo$5871bo3bob2o13b2o30bobo$5891b5o28bobo$5875b2o15bo3bo
13bo13b3o505bo$5874b3o10b2obo5bo12bobo519bobo127bo$5886bo3bo5bo13bo24b
o496b2o126bobo$5887bob3o3bo38bobo623b2o$5888bo3b2o41b2o3$5306bo241b2o
341b2o5bo396bo$5307bo239bo343bob2o2bobo5b2o386bobo$5304bobo239bobo342b
o2bobo3bo3bo2bo386bo121bo$5305bo240bo345bo3b4o5bobo384b2o121bobo127bo$
5891bo2bobobo7bo12bo496b2o126bobo$5891bobo2bo11bo9bobo623b2o$5676bo
214b2o2bobo9bobo9b2o$5677bo218bo11bo$5675b3o3$6400bo$6399bobo127bo$
6400b2o126bobo$6528b2o$6288bobo$6288b4o$6290bobo$6291b2o$6291bo$6384bo
$6383bobo127bo$6284bo3b2o94b2o126bobo$6282bobo4b2o221b2o$6281bo8bo$
6282b2ob2o$6285bobo$6286b2o$5600b2o$5599b4o765bo$5599b3o77bo687bobo
127bo$5600bo78bo270bo417b2o126bobo$5677b3o269bobo544b2o$5948bo361bo$
5949bo359b3o$6308b2ob2o$6308bobobo$6307b3ob3o$6352bo$6351bobo127bo$
6306bob5obo37b2o126bobo$6305bo3bobo3bo164b2o$6302bo15bo$6300b3o2bo3b3o
3bo2b3o$6263bo15bo15bo3b2obo2b2obo3bob2o2bob2o$6262b3o13bobo13bobob2ob
o3bo2bo3bo2bo3bob2o$6263b2o14bo15bo3b2obo2b2obo3bob2o2bob2o$5328bo932b
obob2o17bo5bo9b3o2bo3b3o3bo2b3o15bo$5327b3o930bobob4o15bobo3bobo10bo
15bo16bobo127bo$5326b4o928bo2bobo2bo15bobo5bobo12bo3bobo3bo20b2o126bob
o$5327b2o928b4obobo18bo7bo14bob5obo149b2o$6258b2obobo$6260b2o17b2o$
6260b3o14bo29b3ob3o$6261bo15bobo2bo12bo12bobobo$6274bo3bo2bo12bobo11b
2ob2o$6273bobo19bo13b3o8bo$5655bo616bo2bo34bo8bobo127bo$5654bobo615bo
10bo36b2o126bobo$5653bo347bo2bo268bobo6b3o163b2o$5654bo349bo271b2o3b2o
b2o$6003b2o272b2o4b3o$6001b3o274bo5b3o3b2o$5757bo519b2o5b3o2bo2bo$
5758b2o516bobo6bo4bobo$5757b2o516bo2bo12bo12bo$6275bo2bob2o11bo9bobo
127bo$6276bo3bobo9bobo9b2o126bobo$6281bo11bo138b2o7$6417bo$6416bobo$
6416b2o7$6401bo$5706bo2bo690bobo$5709bo690b2o$5708b2o$5706b3o348bo$
6056b2o$6055b2o3$5350bo985bo48bo$5348bobo984bobo46bobo$5349bo984bo49b
2o$5347b2o986bo6$6369bo$6368bobo$6368b2o4$5782bo$5783bo$5780bob2o$
5781b2o$6357bo$6356bobo$5762bo594bo$5761b2o$5760b2o$6111b2o$6111bo$
6109b3o$5840bo268bo$5838bobo500bo$5839b2o499bobo$6341bo7$6325bo$6324bo
bo$6325bo7$6309bo$6308bobo$5370b3o936bo$5370bobo$5370b2o444b2o$5816bo$
5814b3o346b2o$5814bo347bobo$6162b3o$6293bo$6292bobo$6293bo7$6277bo$
6276bobo$6277bo7$6261bo$6260bobo$6261bo3$5868b2o$5867bobo$5867b3o$
6218b2o$6217bo27bo$6216bobo25bobo$5920bobo293bo28bo$5921b2o$5921bo6$
6230b2o$5393bo835bobo$5391b3o836bo$5391bo$5390b2o5$6214b2o$6213bobo$
6214bo4$5923b2o$5922bo$5921bobo$5921bo276b2o$6197bobo$6198bo7$6182b2o$
6181bobo$6182bo7$6166b2o$6165bobo$6166bo5$5975b2o$5974b4o$5974b3o173b
2o$5975bo173bobo$6150bo$6003bo$5414b2o588bo$5413b2o587b3o$5413bo3$
6134b2o$6133bobo$6134bo7$6118b2o$6117bobo$6118bo7$6030bo71b2o$6029bobo
69bobo$6028bo73bo$6029bo6$6086b2o$6085bobo$6086bo7$6070b2o$6069bobo$
6070bo3$5435b3o$5434b2o$5434bo$5434bo2bo3$6062bo$6061bobo5b2o$6062b2o
6bo$6070b3o$6072bo5$6046bo$6045bobo$6046b2o7$6030bo$6029bobo$6030b2o7$
6014bo$6013bobo$6014b2o33b2o$6049bobo$6049b3o5$5998bo$5997bobo$5998b2o
2$5457bo$5458bo$5455bobo$5456bo2$5982bo$5981bobo$5982b2o7$5966bo$5965b
obo$5966b2o2$6026b2o$6028bo$6027bobo$6029bo2$5950bo$5949bobo$5950b2o7$
5934bo$5933bobo$5934b2o7$5918bo$5917bobo$5918b2o3$6006b2o$5479bo525b4o
$5478b3o525b3o$5477b4o526bo$5478b2o422bo$5901bobo$5902b2o7$5886bo$
5885bobo$5886b2o7$5870bo$5869bobo$5870b2o5$5984bo$5983bobo$5854bo131bo
$5853bobo129bo$5854b2o7$5838bo$5837bobo$5838b2o5$5501bo$5499bobo$5500b
o321bo$5498b2o321bobo$5822b2o6$5962bo2bo$5806bo155bo$5805bobo154b2o$
5806b2o155b3o7$5790bo$5789bobo$5790b2o7$5774bo$5773bobo$5774b2o7$5758b
o$5757bobo181bo$5758b2o181b2o$5942b2o6$5742bo$5521b3o217bobo$5521bobo
218b2o$5521b2o6$5726bo$5725bobo$5726b2o7$5710bo$5709bobo$5710b2o$5918b
2o$5919bo$5919b3o$5921bo3$5694bo$5693bobo$5694b2o7$5678bo$5677bobo$
5678b2o7$5662bo$5544bo116bobo$5542b3o117b2o$5542bo$5541b2o355b2o$5898b
obo$5898b3o3$5646bo$5645bobo$5533bo112b2o$5532b3o$5530b2obob2o2$5529bo
bo3bobo$5528b3o5b3o$5527bo11bo$5528bo9bo91bo$5529bo7bo91bobo$5524bo17b
o87b2o$5523b3o6b3o6bobo$5522b3obo4bo3bo4bo2b2o$5523bob2o16bo2bo$5520bo
2b2obo2bo2bobo2bo6bobo$5519b4o3bo2bobo4b3o8bo$5518b2obobo4b3obo3b3o7b
3o$5519b3obo2bo2bob2obo3bo8bo66bo$5520bo5bo3bobob3o7bobo66bobo$5522b3o
bo4bobobo7bo2bo67b2o$5523b2o7bo7bobo$5541bobo$5544bo$5543bobo329b2o$
5544bo332bo$5876bobo$5598bo279bo$5556bo40bobo$5555b3o40b2o$5554b2ob2o$
5555b3o$5552bo3bo3bo$5525bo15bo9b3o5b3o$5524bobo13bobo7b2ob2o3b2ob2o$
5525bo15bo9b3o5b3o$5530bo5bo15bo3bo3bo21bo$5509b3o9bo7bobo3bobo17b3o
23bobo$5509bobo7bo2bo5bobo5bobo7bo7b2ob2o23b2o$5507b2obob2o5bobobo5bo
7bo7bo2bo6b3o$5507bobobobo4bo3b3o31bo$5507b2obob2o4bo2bo2bo24bo$5509bo
bo4bo2b2ob2o21bo2bo$5509b3o3bobo2b3o2bo15bo$5515bo2bo5bobo13bobo$5515b
3o7bo15bo24bo$5565bobo$5566b2o$5527bo2bo5bo2bo$5521b2o8bo3bo7bo$5521bo
22bo$5520bo6bo2bo5bo2bo6b2o$5518b2obo6bo9bo6bobo307b2o$5518bo2b2o21b3o
307b4o$5518b2obo8bo5bo8bo4bo304b3o$5520bo8b3o3b3o8b2o2bo305bo$5521bo6b
o3bobo3bo5bob5o$5521b2o6bo2bobo2bo5bo4bo$5529bo2bobo2bo21$5579b2o$
5578bo$5577bobo253bo$5577bo254bobo$5835bo$5834bo23$5631b2o$5630b4o$
5630b3o178bo2bo$5631bo179bo$5811b2o$5812b3o24$5686bo$5685bobo$5684bo
105bo$5685bo104b2o$5791b2o24$5737bo2bo$5740bo$5739b2o$5737b3o27b2o$
5768bo$5768b3o$5770bo!
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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh »

Gustone wrote: December 29th, 2021, 6:54 am

Code: Select all

sssssnippppp
iNoMed be like:

Code: Select all

x = 322, y = 242, rule = B3-ckqr4y5ay6ei7c/S2-i3-aek4ity5ac6ei7e8
70b2o$69bo2bo$69bo2bo$70b2o6$86b2o$85bo2bo$85bo2bo$86b2o6$102b2o$101bo
2bo$101bo2bo$102b2o6$118b2o$41bo75bo2bo$40bo76bo2bo$41bobo74b2o$42bo5$
135bo$134bobo$134b2o7$58bo92bo$57bobo90bobo$58bo91b2o$bo$obo$2o2$66bo$
65b3o$65bobo99bo$42bo22b3o98bobo$41bobo122b2o$17bo24bo168bo$16bobo191b
obo$16b2o193bo$58b3o11b3o$57b2obo11bob2o$58b3o11b3o$183bo$182bobo$182b
2o$33bo193bo$32bobo30b3o158bobo$32b2o31bobo159bo$65b3o$66bo2$199bo$
198bobo$50bo147b2o$49bobo43bo147bo$49b2o43bo147bobo$95bobo87b3o55bo$
96bo90b2o$188bo$185bo2bo$215bo$214bobo$214b2o$259bo$34b3o221bobo$34bob
o222bo$34b2o3$231bo$230bobo$112bo117b2o$111bobo161bo$112bo161bobo$55bo
219bo$54bobo247bo$54b2o247bobo$304bo$120bo126bo$119b3o124bobo$119bobo
124b2o$96bo22b3o$95bobo214bo$71bo24bo214b3o$70bobo238bobo$70b2o216bo
22b3o$112b3o11b3o158bobo$111b2obo11bob2o133bo24bo$112b3o11b3o133bobo$
262b2o$304b3o11b3o$303b2obo11bob2o$87bo216b3o11b3o$86bobo30b3o$86b2o
31bobo$119b3o$120bo158bo$278bobo30b3o$278b2o31bobo$311b3o$104bo207bo$
103bobo$103b2o60bo$164bo$165bobo128bo$166bo128bobo$295b2o4$249b3o$251b
2o$98b2o152bo$97bobo9bo139bo2bo$97b3o8bobo$108b2o171bo$281b2o$282b2o2$
182bo$181bobo$182bo$125bo$124bobo$124b2o2$190bo$189b3o$189bobo$166bo
22b3o$165bobo$141bo24bo$140bobo$140b2o$182b3o11b3o$181b2obo11bob2o$
182b3o11b3o4$157bo$121b2o33bobo30b3o$120bo35b2o31bobo$119bobo67b3o$
119bo70bo35b2o$227bo$227b3o$229bo$174bo$173bobo$173b2o6$160bo68bo$228b
o$162bo66bobo$162bo67bo$153b3o6bo$154bo4bo$155b2ob2o$156b3o4$173bo$
172bobo$141b2o29b2o$140b4o$140b3o$141bo32b2o$174bobo69bo$174b3o68bobo$
246bo$189bo$188bobo$188b2o2$254bo$253b3o$253bobo$230bo22b3o$229bobo$
205bo24bo$204bobo$204b2o$246b3o11b3o$179b2o64b2obo11bob2o$178bo67b3o
11b3o$177bobo$177bo2$221bo$220bobo30b3o$220b2o31bobo$253b3o$254bo4$
238bo$237bobo$237b2o9$223bo$223b2o$224b2o2$199b2o$198b4o$198b3o$199bo!
There's also this questionably corderizeable tub puffer, at 4c/46o

Code: Select all

x = 16, y = 16, rule = B3-ckqr4y5ay6ei7c/S2-i3-aek4ity5ac6ei7e8
booooboboobooobb$
bbbbooooobboobbb$
bbobobbobbobbboo$
bobboobboobbbooo$
bobobbbbbbbbbbbb$
oobobooboboboobo$
obbobboboobooooo$
bbbbbooobbobbbbo$
obbbobobbboobboo$
oboboooobbooobob$
bbobobboobbobbbb$
obobbobbbbbboooo$
boboboobbboooooo$
bbobbbobobbbboob$
booooobbooobbobo$
obbbbobobobobobb!
By the way it is actually a 2c/23o engine
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
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silversmith
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by silversmith »

Here is another corderization, same engine count

Code: Select all

x = 224, y = 250, rule = B3-ckqr4y5ay6ei7c/S2-i3-aek4ity5ac6ei7e8
122bo$121bobo6bo$122bo3bob2ob2obo$128bo3bo$126bob2ob2obo$130bo3$129b3o
$129bobo$106bo22bobo$105bobo19b2obob2o$106bo9bobo8bobobobo8bobo$125b2o
b5ob2o$116b3o6bobo5bobo6b3o$116bobo3b3ob2o5b2ob3o3bobo$115bo3bo2bo2bob
o5bobo2bo2bo3bo$116bobo3b3ob2o5b2ob3o3bobo$116b3o6bobo5bobo6b3o$125b2o
b5ob2o$116bobo8bobobobo8bobo$97bo29b2obob2o$96bobo30bobo$96b2o31bobo$
129b3o3$130bo$126bob2ob2obo$114bo13bo3bo$113bobo10bob2ob2obo$74b3o36b
2o15bo$74bobo$75b2o$207bo$206bobo$207bo2$100bo2bo$100bo$100b2o$101b3o$
214b3o$214bobo$191bo18bo4bo4bo$190bobo16bo5bo5bo$191bo3$207b2o13b2o$
207bob2o9b2obo$207b2o13b2o4$182bo26bo5bo5bo$181bobo26bo4bo4bo$181b2o
31bobo$214b3o4$161bo$161b3o35bo$163bo34bobo$163b2o33b2o2$47bo$47b2o$
48b2o5$184bo$183bobo$53bo132bo$53b3o129bo$55bo$55b2o12$2o$obo$b2o68bo$
70bobo$71bo$14bo$13bobo62bobo$13b2o3$77bobobo$75bo2bobo2bo46bo2bo$55bo
18bo4bo4bo45bo$54bobo16bo2b2o3b2o2bo44b2o$30bo24bo16bo3b3ob3o3bo44b3o$
29bobo42b2ob2ob2ob2o$29b2o40bo2b3o5b3o2bo$67bo4bo2b2o5b2o2bo4bo$71bobo
11bobo$67bo4bo2b2o5b2o2bo4bo47b2o$71bo2b3o5b3o2bo52b2o$74b2ob2ob2ob2o
56bo$72bo3b3ob3o3bo$46bo26bo2b2o3b2o2bo$45bobo26bo4bo4bo$45b2o28bo2bob
o2bo$77bobobo4$78bobo$63bo$62bobo$62b2o3$156bo$155bobo$156bo$164bo$77b
o85bobo$43b2o32b2o83bobobo$43bobob2o29b2o$44b3o2bo114bo$48bobo$50bo
110bo2bo2bo$140bo21bo3bo$139bobo21b3o$140bo23bo$157bo13bo$59b2o92bo4bo
11bo4bo$59bobo90bo6bo9bo6bo$60b2o89bobobobob2o7b2obobobobo$152bo6bo9bo
6bo$153bo4bo11bo4bo$157bo13bo$164bo$163b3o$162bo3bo$75b2o84bo2bo2bo$
75bobo$76b2o86bo2$162bobobo$163bobo$148bo15bo$147bobo$147b2o$91b2o$22b
2o67bobo$23bo68b2o$23b3o$25bo4$13bo$12bobo92b2o23b2o$12b2o93bobo22bobo
$108b2o22b3o6$29bo$28bobo$28b2o3$118bo$118b3o$120bo$120b2o$45bo$44bobo
$44b2o2$25b2o$24b4o$24b3o$25bo2$61bo$60bobo$60b2o4$134bo$133bobo$134bo
$77bo64bo$76bobo62b3o$76b2o62b2ob2o$141b3o$142bo3$118bo$117bobo20b2ob
2o$93bo24bo21bo3bo$92bobo46bobo$92b2o37bo5b2o3bo3b2o5bo$130b3o4bobo5bo
bo4b3o$129b2ob2o6bo3bo6b2ob2o$130b3o4bobo5bobo4b3o$48bo82bo5b2o3bo3b2o
5bo$47bobo91bobo$46bo93bo3bo$47bo61bo30b2ob2o$108bobo$108b2o2$142bo$
141b3o$140b2ob2o$141b3o$126bo15bo$125bobo$125b2o11$108b2o$110bo$109bob
o$111bo$67bo2bo$70bo$69b2o$67b3o!
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EvinZL
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by EvinZL »

Definitely suboptimal 6-engine 15c/45 corderoid in B36n/S23-c6c

Code: Select all

x = 79, y = 73, rule = B36n/S23-c6c
9bo59bo$7b2ob2o16b3o17b3o16b2ob2o$7b2ob2o15bo3bo15bo3bo15b2ob2o$27b2ob
2o15b2ob2o$4bo9bo49bo9bo$2b2obo7bob2o6b2o9b2o7b2o9b2o6b2obo7bob2o$b2o
13b2o3b4o9b4o3b4o9b4o3b2o13b2o$2b2o3bo3bo3b2o4bo2bo9bo2bo3bo2bo9bo2bo
4b2o3bo3bo3b2o$21b3o11b3o3b3o11b3o$4bob2o3b2obo8bo2b2o3b2o2bo7bo2b2o3b
2o2bo8bob2o3b2obo$5b2o5b2o12b2o3b2o13b2o3b2o12b2o5b2o$25b3o3b3o11b3o3b
3o3$5b2o5b2o51b2o5b2o$4bo2bo3bo2bo10b2o5b2o11b2o5b2o10bo2bo3bo2bo$5b2o
5b2o10bo2bo3bo2bo9bo2bo3bo2bo10b2o5b2o$25b2o5b2o11b2o5b2o7$b2ob2o7b2ob
2o43b2ob2o7b2ob2o$6bo5bo12bo7bo11bo7bo12bo5bo$2bo2bo7bo2bo4b4obo5bob4o
3b4obo5bob4o4bo2bo7bo2bo$3bo11bo47bo11bo$6bo5bo53bo5bo$6bo5bo53bo5bo9$
2o22bo29bo22b2o$2o22bo29bo22b2o$12bo11bo29bo11bo$12bo53bo$12bo53bo$12b
o53bo$8b2ob3ob2o45b2ob3ob2o$7bob7obo43bob7obo$6b2o2bo3bo2b2o41b2o2bo3b
o2b2o$7b2obo3bob2o43b2obo3bob2o$8b3o3b3o45b3o3b3o5$2o75b2o$2o5b2o7b2o
5b3o27b3o5b2o7b2o5b2o$8bo2bobo2bo45bo2bobo2bo$8b3o3b3o45b3o3b3o$8b3o3b
3o45b3o3b3o$8b2o5b2o45b2o5b2o$8b2o5b2o45b2o5b2o$7bo2bo3bo2bo43bo2bo3bo
2bo$8b2o5b2o45b2o5b2o5$6bo11bo41bo11bo$6b2o9b2o41b2o9b2o$6b2o9b2o5bo
29bo5b2o9b2o$2o20bobo29bobo20b2o$5b2o11b3o3bo29bo3b3o11b2o$5b2o11b3o
37b3o11b2o$5bo13bo39bo13bo!
based on this puffer

Code: Select all

x = 3, y = 4, rule = B36n/S23-c6c
bo$obo$obo$obo!
This rule is pretty active, especially at large scales where soups spawn lots of puffers, though somehow nonexplosive
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Aleph
Posts: 2288
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Aleph »

5c/10:

Code: Select all

x = 14, y = 11, rule = B2ack4n5e/S|B2ack3n4n5e/S
3bo2$b2o2bo4bobo2$2obobobo2bo2bo2$2obobobo2bo2bo2$b2o2bo4bobo2$3bo!
EDIT: A pattern that keeps stacking c/3 engines:

Code: Select all

x = 4, y = 1, rule = B2acn3n4i/S
4o!
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LaundryPizza03
Posts: 2631
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 »

2o2$3bo! completed. Note that B2a never works for this shape.
  • 1 still life
  • 1 p2 oscillator
  • 1 p3 oscillator
  • 18 p4 oscillators
  • 2 c/4o spaceships, both of which move north
  • 1 c/4d, which moves northeast
  • 318 p5 oscillators
  • 120 c/5o spaceships, of which 12 move east, 36 move west, 4 move south, and 68 move north
  • 109 c/5d spaceships, of which 2 move southwest and 107 move northeast
  • 3760 p6 oscillators
  • 3334 c/6o spaceships, of which 689 move east, 977 move west, 419 move south, and 1249 move north
  • 3411 c/6d spaceships, of which 490 move southeast, 993 move southwest, 96 move northwest, and 1832 move northeast
  • 59 2c/6o spaceships, all of which move north
  • 450 (2,1)c/6 spaceships, of which 377 move ENE, 5 move SSW, and 68 move NNE
2o2$3bo!.txt
11585 distinct oscillators and spaceships
(754.95 KiB) Downloaded 62 times
EDIT: Since pzq_alex shared their non-relativistic 2o$b2o! results, I'll do the B2a ones. Enumeration of their results, of which there were 537:
  • 1 still life
  • 2 p2 oscillators
  • 5 p3 oscillators
  • 11 p4 oscillators
  • 5 c/4o spaceships, of which 4 move west and 1 moves north
  • 5 c/4d spaceships, all of which move northeast
  • 17 p5 oscillators
  • 25 c/5o spaceships, of which 3 move east, 6 move west, and 16 move north
  • 3 2c/5o spaceships, all of which move north
  • 3 c/5d spaceships, of which 1 moves southwest and 2 move northeast
  • 104 p6 oscillators
  • 174 c/6o spaceships, of which 34 move east, 46 move west, 20 move south, and 74 move north
  • 34 2c/6o spaceships, of which 2 move west and 32 move north
  • 120 c/6d spaceships, of which 40 move southwest, 38 move northwest, and 42 move northeast
  • 28 (2,1)c/6 spaceships, of which 5 move SSW, 1 moves NNW, 10 move NNE, and 12 move ENE

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
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pzq_alex
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by pzq_alex »

Endemic 2c/208:

Code: Select all

x = 4, y = 3, rule = B2n3-k4jty6e7/S2-n3-a4i5q6ace7e
bo$3o$ob2o!
14c/190d (endemic except S8):

Code: Select all

x = 4, y = 3, rule = B2n34cjty6en78/S23-a4i5q6ace7
bo$3o$ob2o!
\sum_{n=1}^\infty H_n/n^2 = \zeta(3)

How much of current CA technology can I redevelop "on a desert island"?
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Aleph
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Aleph »

This 61-cell 60c/72 ties the record:

Code: Select all

x = 28, y = 27, rule = B2ack3a4ckrwy5-n/S2an3aejqy4cejrz5-ek6ek7c8
o2b3o2bo10bo2b3o2bo$4ob4o10b4ob4o$2bo3bo14bo3bo$o2bobo2bo10bo2bobo2bo
5$14b2o2$13bo2bo13$o2b3o2bo$4ob4o$2bo3bo$o2bobo2bo!
EDIT: Weird P82:

Code: Select all

x = 2, y = 3, rule = B1c2cn3ny4nyz/S|B2ak3cn4i/S
bo2$o!
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May13
Posts: 1092
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by May13 »

wwei47 wrote: January 1st, 2022, 6:08 pm This 61-cell 60c/72 ties the record:

Code: Select all

x = 28, y = 27, rule = B2ack3a4ckrwy5-n/S2an3aejqy4cejrz5-ek6ek7c8
o2b3o2bo10bo2b3o2bo$4ob4o10b4ob4o$2bo3bo14bo3bo$o2bobo2bo10bo2bobo2bo
5$14b2o2$13bo2bo13$o2b3o2bo$4ob4o$2bo3bo$o2bobo2bo!
Siderakes in the same rule based on different technologies:
10c/12 rake producing p5 photons

Code: Select all

x = 48, y = 47, rule = B2ack3a4ckrwy5-n/S2an3aejqy4cejrz5-ek6ek7c8
14bob2obob2obo$17b2ob2o$16b3ob3o$17bo3bo$17b5o$11bobo11bobo$11bobo11bo
bo2$11bobo11bobo$19bo$15bobo3bobo$17bobobo$13bobobo3bobobo2$15bo3bo3bo
$17bo3bo13bo$4ob4o6bo3bo3bo6b2obo3bob2o$b3ob3o11bo9bo3b5o3bo$b7o7bobo
3bobo10bobo$2bo3bo10bobobo7bobo3bo3bobo$2bobobo$bo5bo11bo5bobo$2bo3bo
8bo7bo3bo$25bo$15bo7bo3$15bo$2b4ob4o$3b3ob3o5bo$3b7o7bo15bo$4bo3bo26bo
$4bobobo4bo7bobo5bobo3bo$3bo5bobo5bobobo5bobo3bo$4bo3bo6bobo3bo9bo$11b
obo5bo7bo5$45bo$41bo5bo$bo2b3o2bo33bo3bo$b4ob4o13bo2b3o2bo7bobo3bo$3bo
3bo15b4ob4o11bo$bo2bobo2bo15bo3bo11bo$23bo2bobo2bo!
Small 5c/6 rake

Code: Select all

x = 19, y = 17, rule = B2ack3a4ckrwy5-n/S2an3aejqy4cejrz5-ek6ek7c8
10bo2b3o2bo$10b4ob4o$12bo3bo$10b2obobob2o$10bo2bobo2bo2$13bobo$11bo5bo
2$13bobo$11bobobobo2$6bo6bobo$b2obo3bob2obobo$o3b5o3bo$5bobo$obo3bo3bo
bo!
Spaceship databases:
new-gliders.db (30683 gliders, square grid)
hex-gliders.db (668 gliders, hexagonal grid)
My scripts: new-glider.py v0.2, nbsearch2a.py, collector.py v0.3

-Dmitry Maitak
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi »

pzq_alex wrote: January 1st, 2022, 9:05 am ...
14c/190d (endemic except S8):

Code: Select all

x = 4, y = 3, rule = B2n34cjty6en78/S23-a4i5q6ace7
bo$3o$ob2o!
P22 based P110 T-gun, 2 barrels, one removed with a P22 eater reaction:

Code: Select all

x = 35, y = 17, rule = B2n34cjty6en78/S23-a4i5q6ace7
bo$bo8b3o$obo7bobo$bo9bo3$30bo$27bob2o$30bo6$32b3o$32bobo$33bo!
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Moosey
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Moosey »

rule with a (24,21)c/158 (40 cells) and a 4c/466 glider forerake (20 cells)

Code: Select all

x = 23, y = 29, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
20b2o$20bobo$21b2o7$o4bo$4b3o$4bobo$3b2ob2o$2b2o2bo$3bo2bo$4b3o8$2b4o$
b2o$2obo$b3o2bo$6bo$6bo!

Code: Select all

x = 19, y = 9, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
2o$bo11bo$b2o9b2o3bo$12bo2bob2o$13bo$11b2o$10b2o$11bo$12bo!
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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C28
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by C28 »

Moosey wrote: January 2nd, 2022, 10:49 am rule with a (24,21)c/158 (40 cells) and a 4c/466 glider forerake (20 cells)

Code: Select all

x = 23, y = 29, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
20b2o$20bobo$21b2o7$o4bo$4b3o$4bobo$3b2ob2o$2b2o2bo$3bo2bo$4b3o8$2b4o$
b2o$2obo$b3o2bo$6bo$6bo!

Code: Select all

x = 19, y = 9, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
2o$bo11bo$b2o9b2o3bo$12bo2bob2o$13bo$11b2o$10b2o$11bo$12bo!
p152

Code: Select all

x = 49, y = 32, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
2bob2obob2o5bob2ob2obo3b3o2b2ob2ob3o2b4o$o5b2obo2b5o3b5ob3obob3ob3obo
3bobobo$7ob2o3bo2bobo5bobob4ob5o3b2obobobo$2bo2b5obobobobo2b2o4bobo2b
4o4bo5bob2o$obo4bobo3bo4b3o4bob2ob2ob3obo2b2o2bo3bo$bobob2o3bob2obo2b
obo2b2obo2b3o3b2o2bo3b3ob2o$o5bobob3obo2bo2b2o4bo2b3obob2ob4ob4o$b5ob
4obo3bobo2bo4bo2b2obo3bobo4b2o3bo$o2bo3b2obo2b2o5b2obo3bo3bobo3b2ob3o
bo$5obo3bo3bo2b2o3b10o2bob2ob3o2b2obo$3b2o2bo4bo3bobobob4obob2o3b2obo
b3o4b2o$bo3bobo5b4o3bo3bob4o3bo3bo3bo4b3o$ob3obob2ob2ob3obob3o2bob2o3b
o2b2o2b3o2bob2o$2ob2o6b2obob3o2bobob3ob2ob4ob2o4b2obobo$5b2obo4bo4b3o
2b2ob3o2bo2bobobo2bo2bobobo$4ob2ob2o2bobob2o3bo4b3obo2bo2bo3bo5b2o$bo
bob4ob2o6b4o2b3o2b5o3b2o2b2obo2b2o$o2b2obobo4b4obobo4bo2b2obob2ob2o9b
o$o3b2o2b4o2bo2bo2bo2bo2bo2b6o3b2o3bobob2o$ob2o2bobo2b2o5b5o8bo2bo4b6o
2bo$ob3obob4obobo3b2ob2obob3o3b3ob3o2bob2ob2o$bo3bobo3b7ob12ob2o3bo2b
7obo$obo2b6obob2ob3o3bobo4b5o2bo4bo2b3o$ob4o3b2obobo3b7o3b5obob2o2bo2b
4o$3bo3b2obo3bob2o2bo2b3ob2o8b3ob3obobo$2bo3bobob2ob2obo3bobobob5obob
o2b2o4b2obo$2bo2b3ob2ob2ob2o4bo4b4o4bo2b8o$2b4ob3o2b2ob3o2bo2bobo2bob
4o3bo2b2ob2o2bo$ob2ob2ob2obob4o2b5ob2o2b2o3b4ob6o3bo$obo2b2obo2b3ob3o
2b5ob4o2bo2bo2bo2bob6o$2bo2bo2b4obob3o2bobob5o2bo8bobo2b2obo$o2b6obob
obo5bobob5o5bob2ob2o4b3o!
mostly taking a break from CGoL for now
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi »

C28 wrote: January 2nd, 2022, 10:59 am
Moosey wrote: January 2nd, 2022, 10:49 am rule with a (24,21)c/158 (40 cells) and a 4c/466 glider forerake (20 cells)

Code: Select all

x = 23, y = 29, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
20b2o$20bobo$21b2o7$o4bo$4b3o$4bobo$3b2ob2o$2b2o2bo$3bo2bo$4b3o8$2b4o$
b2o$2obo$b3o2bo$6bo$6bo!

Code: Select all

x = 19, y = 9, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
2o$bo11bo$b2o9b2o3bo$12bo2bob2o$13bo$11b2o$10b2o$11bo$12bo!
p152

Code: Select all

x = 49, y = 32, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
2bob2obob2o5bob2ob2obo3b3o2b2ob2ob3o2b4o$o5b2obo2b5o3b5ob3obob3ob3obo
3bobobo$7ob2o3bo2bobo5bobob4ob5o3b2obobobo$2bo2b5obobobobo2b2o4bobo2b
4o4bo5bob2o$obo4bobo3bo4b3o4bob2ob2ob3obo2b2o2bo3bo$bobob2o3bob2obo2b
obo2b2obo2b3o3b2o2bo3b3ob2o$o5bobob3obo2bo2b2o4bo2b3obob2ob4ob4o$b5ob
4obo3bobo2bo4bo2b2obo3bobo4b2o3bo$o2bo3b2obo2b2o5b2obo3bo3bobo3b2ob3o
bo$5obo3bo3bo2b2o3b10o2bob2ob3o2b2obo$3b2o2bo4bo3bobobob4obob2o3b2obo
b3o4b2o$bo3bobo5b4o3bo3bob4o3bo3bo3bo4b3o$ob3obob2ob2ob3obob3o2bob2o3b
o2b2o2b3o2bob2o$2ob2o6b2obob3o2bobob3ob2ob4ob2o4b2obobo$5b2obo4bo4b3o
2b2ob3o2bo2bobobo2bo2bobobo$4ob2ob2o2bobob2o3bo4b3obo2bo2bo3bo5b2o$bo
bob4ob2o6b4o2b3o2b5o3b2o2b2obo2b2o$o2b2obobo4b4obobo4bo2b2obob2ob2o9b
o$o3b2o2b4o2bo2bo2bo2bo2bo2b6o3b2o3bobob2o$ob2o2bobo2b2o5b5o8bo2bo4b6o
2bo$ob3obob4obobo3b2ob2obob3o3b3ob3o2bob2ob2o$bo3bobo3b7ob12ob2o3bo2b
7obo$obo2b6obob2ob3o3bobo4b5o2bo4bo2b3o$ob4o3b2obobo3b7o3b5obob2o2bo2b
4o$3bo3b2obo3bob2o2bo2b3ob2o8b3ob3obobo$2bo3bobob2ob2obo3bobobob5obob
o2b2o4b2obo$2bo2b3ob2ob2ob2o4bo4b4o4bo2b8o$2b4ob3o2b2ob3o2bo2bobo2bob
4o3bo2b2ob2o2bo$ob2ob2ob2obob4o2b5ob2o2b2o3b4ob6o3bo$obo2b2obo2b3ob3o
2b5ob4o2bo2bo2bo2bob6o$2bo2bo2b4obob3o2bobob5o2bo8bobo2b2obo$o2b6obob
obo5bobob5o5bob2ob2o4b3o!
Plenty of oblique puffers and rakes can be constructed trivially:

Code: Select all

x = 820, y = 53, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
59bo$58b2obo$58bo3bo$62b2o$62bo$61bobo$63bo2$464bo$463b2obo$463bo3bo$
22b2o443b2o$22bobo442bo347bo$23b2o441bobo345b2obo$45b2o421bo345bo3bo$
43b3o772b2o$42bob2o772bo$43bo773bobo$41b2o18b2o756bo$39b2obo18bobo363b
2o$2b2o35b3o20b2o363bobo$b2obo35bo387b2o$bo2bo445b2o$2b8o35b2o401b3o
327b2o$bo3bobob2o38b2o396bob2o327bobo$2b2o2b2o2b2o31b3o2b2o398bo330b2o
$2obo2bob3o32b3ob2obo395b2o18b2o333b2o$2o6b2o32bo2bobo358b3o35b2obo18b
obo330b3o$2bo3b2o33bobobobo357bo2b2o34b3o20b2o329bob2o$4o2bo33b3o2bo
363b3o33bo311b3o39bo$o2bob2o30b5o3bo2bo355bo355bo36b2o18b2o$bo3b2o30bo
3bo362bo3bob2o2b2o34b2o343b2obo18bobo$bo2bo32b3o2b2o4bo359bob2obob2o
37b2o301bo37b3o20b2o$2b3o33b3obo2bo2bo358b3o3bo2b2o30b3o2b2o303bo2bo
34bo$40b3obo369b3o31b3ob2obo$41bo2bobo360bobo3b2o32bo2bobo305b2o2bo2b
2ob2o31b2o$6b2o32bob2obo368bo31bobobobo306bo2bo2b2obobo34b2o$7bo34b2ob
obo356b3o2b3obo31b3o2bo308bo5bob2ob2o27b3o2b2o$4b2ob2o36bob2o355bo2bo
34b5o3bo2bo305b2o6bob2o28b3ob2obo$4b2o39b3o361bo32bo3bo309bo2b4o4bobo
28bo2bobo$4b3o39bo362b2o31b3o2b2o4bo300b2o3b2o6b2o28bobobobo$407bob2o
32b3obo2bo2bo300bo3bobo3b3o29b3o2bo$407b3o35b3obo305b2obo2b2o30b5o3bo
2bo$408bo37bo2bobo303b2o4b2o30bo3bo$411b2o32bob2obo311b2o29b3o2b2o4bo$
412bo34b2obobo304b3o34b3obo2bo2bo$411b3o36bob2o303bobo2bo33b3obo$412bo
37b3o304bobo37bo2bobo$451bo306bobo35bob2obo$798b2obobo$801bob2o$801b3o
$802bo!
How about corderizing the orthogonal forerake?

[APPEND#1]

Done.:

Code: Select all

x = 35, y = 154, rule = B2ik3-cq4cet5ce/S2-i3-a4ceitz6e
3b2o$2bob2o$bo3bo$2bobo2$6bo$o2bo2bo$5bo$2o3b2o$6b2o$b2o2b2o$b6o$bo3bo
$2b4o$3bo5b3o$9bobo$9bo$6bob2o2bo$5bo3b5o$4b3o5b2o$5bo8bo$10bo2b2o$10b
obo7$3bo$2bo$bo$2o$b2o22$29b3o$29bobo$28bo2bo$27b2o$26bo$25b3o4b2o$25b
2obobo2b2o2$27b3o4$17b2o$17bo$16b2o15$16b2o$17bo$17b2o4$27b3o2$25b2obo
bo2b2o$25b3o4b2o$26bo$27b2o$28bo2bo$29bobo$29b3o22$b2o$2o$bo$2bo$3bo7$
10bobo$10bo2b2o$5bo8bo$4b3o5b2o$5bo3b5o$6bob2o2bo$9bo$9bobo$3bo5b3o$2b
4o$bo3bo$b6o$b2o2b2o$6b2o$2o3b2o$5bo$o2bo2bo$6bo2$2bobo$bo3bo$2bob2o$
3b2o!
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LaundryPizza03
Posts: 2631
Joined: December 15th, 2017, 12:05 am
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 »

29 B2a photons with shape 2o$2bo! and period at most 4. We have a unique p2 photon in B2ae/S, a unique p3 photon in B2ace/S, and 27 p4 photons.
2o$2bo!_rel4.txt
29 distinct spaceships
(1.38 KiB) Downloaded 53 times
At this point we have compiled the following 3-cell patterns, up to 6 generations unless otherwise noted:
  1. 3o!
  2. 2obo! (6 gen. no B2a, 4 gen. B2a only)
  3. 2o$bo! (no B2a)
  4. 2o$2bo! (6 gen. no B2a by pzq_alex, 4 gen. B2a only)
  5. 2o$3bo! (no B2a, explain)
  6. 2o2$3bo! (no B2a)
  7. o$bo$2bo!
  8. o$2bo$4bo!
  9. o3bo$2bo! (4 gen.)
  10. o2$2bo2$4bo!
What's left is:
  1. 2o2$bo!
  2. 2o2$2bo!
  3. obobo!
  4. obo$bo!
  5. obo$3bo!
  6. obo$4bo!
  7. obo2$bo!
  8. obo2$2bo!
  9. obo2$3bo!
  10. obo2$4bo!
  11. 2bo$o$bo!
  12. 3bo$o$bo!
  13. o2bo$bo!
  14. o$bo$3bo!
  15. o$bo2$3bo!
  16. 3bo$o$2bo!
  17. 4bo$o$2bo!
  18. o3bo$2bo! (6 gen.)
  19. o$2bo2$o!
  20. o$2bo2$3bo!
  21. o$2bo2$4bo!
  22. o3bo2$2bo!
I'm currently doing obobo!, o3bo2$2bo!, and o3bo$2bo! to 6 gen, and just began 2o2$2bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
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Aleph
Posts: 2288
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Aleph »

Gigantic pile of 5c/6 spaceships
5c_6 ships again.txt
(80.21 KiB) Downloaded 58 times
Rubbing photons against their backs might yield new reactions. For example, I accidentally discovered a 40c/48 with one of these:

Code: Select all

x = 25, y = 32, rule = B2ack3e4knqrty5aijnq/S2acn3acjkq4eijtwyz5aeijy6aik7e
5bo3bo$5b2ob2o$4bo2bo2bo$5bo3bo3$o6bo6bo3$6b2o2$5bo2bo14$15bo3bo$15b2o
b2o$14bo2bo2bo$15bo3bo3$10bo6bo6bo!
EDIT: This rulespace should simulate the first two rows of a stripe-restricted photon with B2a, it seems like even-period photons are the easy part:

Code: Select all

x = 42, y = 1, rule = 31
C.3C4.C.C.C.C8.C.2C.C2.2C.C.3C.C!
@RULE 31
@TABLE
n_states:4
neighborhood:Moore
symmetries:reflect_horizontal
#0=Cell off, Bkgd off
#1=Cell on,  Bkgd off
#2=Cell off, Bkgd on
#3=Cell on,  Bkgd on
var a0={0,1,2,3}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a={1,2}
#B0 (forbidden)
0,0,0,a0,a1,a2,a3,a4,0,0
#B1c (forbidden)
0,0,a,a0,a1,a2,a3,a4,0,0
#B1e (forbidden)
0,1,0,a0,a1,a2,a3,a4,0,0
0,2,0,a0,a1,a2,a3,a4,0,2
#B2a (mandatory)
0,1,1,a0,a1,a2,a3,a4,0,1
0,2,2,a0,a1,a2,a3,a4,0,3
#B2c (probably not a good idea but not forbidden)
0,0,a,a0,a1,a2,a3,a4,a,0
0,0,3,a0,a1,a2,a3,a4,0,0
#B2i (forbidden)
0,3,0,a0,a1,a2,a3,a4,0,2
#B2k
0,1,2,a0,a1,a2,a3,a4,0,1
0,1,0,a0,a1,a2,a3,a4,2,1
0,2,1,a0,a1,a2,a3,a4,0,3
0,2,0,a0,a1,a2,a3,a4,1,3
#B2n
0,0,1,a0,a1,a2,a3,a4,2,1
0,0,2,a0,a1,a2,a3,a4,1,1
#B3c
0,0,a,a0,a1,a2,a3,a4,3,1
#B3i
0,a,a,a0,a1,a2,a3,a4,a,0
#B3n
0,1,3,a0,a1,a2,a3,a4,0,0
0,2,3,a0,a1,a2,a3,a4,0,2
#B3q
0,1,1,a0,a1,a2,a3,a4,2,1
0,2,1,a0,a1,a2,a3,a4,2,3
#B3r
0,3,a,a0,a1,a2,a3,a4,0,2
#B3y
0,2,1,a0,a1,a2,a3,a4,1,3
0,1,2,a0,a1,a2,a3,a4,2,1
#B4c
0,0,3,a0,a1,a2,a3,a4,3,0
#B4i
0,3,3,a0,a1,a2,a3,a4,0,2
#B4n
0,1,1,a0,a1,a2,a3,a4,3,1
0,2,2,a0,a1,a2,a3,a4,3,3
#B4t
0,3,1,a0,a1,a2,a3,a4,1,2
#B4y
0,1,2,a0,a1,a2,a3,a4,3,1
0,2,1,a0,a1,a2,a3,a4,3,3
#B4z
0,3,1,a0,a1,a2,a3,a4,2,2
#B5e
0,1,3,a0,a1,a2,a3,a4,3,0
0,2,3,a0,a1,a2,a3,a4,3,2
#B5r
0,3,a,a0,a1,a2,a3,a4,3,2
#B6i
0,3,3,a0,a1,a2,a3,a4,3,2
@COLORS
0 0 0 0
1 222 222 222
2 63 63 63
3 255 255 255
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hotcrystal0
Posts: 4612
Joined: July 3rd, 2020, 5:32 pm
Location: wherever you think I am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 »

A small camelship

Code: Select all

x = 3, y = 3, rule = B2c3-knqy4ez5-cey6k8/S2-n3-aeqy4aciktz6n
b2o$bo$3o!
118 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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LLAMASKYWALKER
Posts: 166
Joined: December 2nd, 2021, 1:02 pm

Rakes/guns

Post by LLAMASKYWALKER »

post OCA rakes and guns here! idk if this is known yet:

Code: Select all

x = 15, y = 16, rule = B2/S
3$6bo$8bo$8bo$3bo2bo3$7bo$7bo$5bo$3bo!

EDIT by dvgrn: Someone reported this post, as being very likely to clutter up the OCA thread list without being too useful. The problem is that there are a bajillion different rules, and it's much better if discoveries in a specific rule are included in the thread for that rule. Otherwise discoveries can't build on each other.

In this case, the relevant thread would be the Seeds thread -- but I didn't move this post there, either. It would be better to read through the thread first and see if something is already known, and then only post it if it's not known.

Code: Select all

x = 5, y = 5, rule = B3/S12o3H
bo$2obo$3bo$b2obo$3bo!

Code: Select all

x = 15, y = 11, rule = 23/34/10
2$6.F.B$5.GICDA$4.H3I2D2A$4.I3.GF2A$7.FAD2A$8.2A!

Code: Select all

x = 8, y = 14, rule = B3-q4z5y/S234k5j
4b2o$4bo2bo$5b3o7$2o2b3o$2obo3bo$3bo3bo$3bo3bo$4b3o!
CGoL is my hobby
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