Thread for your unsure discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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lifeisawesome
Posts: 86
Joined: April 22nd, 2016, 1:55 pm
Location: poland

Re: Thread for your unsure discoveries

Post by lifeisawesome » April 26th, 2016, 5:36 am

finally a new post
I beat a 26-year-old record for smallest nontrivial p72 oscillator. :o
Here's the pattern:

Code: Select all

x = 22, y = 23, rule = B3/S23
18b2o2$17bo3bo$16bo4bo$15bobobo$2o12bobobo$bo10bo4bo$bobo8bo3bo$2b2o6b
o$14b2o$7b2obo$8b2o$9bo3$4bo$4b2o$3bob2o2$3bo6b2o$10bobo$12bo$12b2o!
Edit: Minimum population is 38.
Edit 2: No, wait, it's 36!
Last edited by lifeisawesome on April 26th, 2016, 10:13 am, edited 1 time in total.
--Szymon Bartosiewicz
favorite pattern:

Code: Select all

x = 2, y = 2, rule = B25/S3a
2o$2o!

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simsim314
Posts: 1823
Joined: February 10th, 2014, 1:27 pm

Re: Thread for your unsure discoveries

Post by simsim314 » April 26th, 2016, 8:34 am

lifeisawesome wrote:I beat a 26-year-old record for smallest nontrivial p72 oscillator. :o
Looks legit to me (but I'm not an expert). Congrats!

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gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

Re: Thread for your unsure discoveries

Post by gmc_nxtman » April 26th, 2016, 8:14 pm

Almost!

Code: Select all

x = 30, y = 33, rule = LifeHistory
4.2A.A$4.A.2A2$5.5A2.A16.A$2A2.A4.A2.3A12.3A$A2.A2.A8.A10.A$.A.A.2A7.
2A10.2A$2A.A5.A$3.A4.A.A$3.2A2.A2.A$8.2A6$8.A$8.A.A$8.3A$10.A7$9.2A$
9.2A4$15.2A$15.2A!
EDIT: It's a bummer that the FNG doesn't clean up the debris...

Code: Select all

x = 38, y = 33, rule = LifeHistory
12.2A.A$12.A.2A2$13.5A2.A16.A$8.2A2.A4.A2.3A12.3A$8.A2.A.BAB7.A10.A$
9.A.A.2AB6.2A10.2A$8.2A.A.4BA4.5B5.4B$11.A3.BABA5.10B$11.2A2.A2BA3.
12B$16.2A2B.12B$18.16B$18.17B$18.17B$16.18B$14.21B$14.2BC17B$13.3BCBC
15B$14.2B3C14B$13.5BC14B$12.22B$11.4B4.14B$10.4B4.15B$9.4B6.12B$8.4B
8.15B$7.4B9.16BD$6.4B10.14B3DB$5.4B11.14BDBD$4.4B10.2AB.12BD$3.4B10.A
.AB3.B2.2B2.2B$2.4B11.A5.3B$.4B11.2A4.B2AB$4B19.2A!
EDIT2: Herschel to aircraft carrier:

Code: Select all

x = 34, y = 29, rule = LifeHistory
8.2A.A$8.A.2A2$9.5A2.A16.A$4.2A2.A4.A2.3A12.3A$4.A2.A.BAB7.A10.A$5.A.
A.2AB6.2A10.2A$4.2A.A.4BA4.5B5.4B$7.A3.BABA5.10B$7.2A2.A2BA3.12B$12.
2A2B.12B$14.16B$14.17B$14.17B$12.18B$10.10B2.9B$10.2BC7B2.8B$9.3BCBC
15B$10.2B3C14B$9.5BC14B$8.22B$7.4B7.11B$6.4B9.3B2D5B$5.4B9.2BD2BD3B$
4.4B10.2B2D5B$3.4B9.2AB.B3.2B$2.4B9.A.AB$.4B10.A$4B10.2A!

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muzik
Posts: 5612
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Thread for your unsure discoveries

Post by muzik » April 29th, 2016, 10:16 am

A pre traffic light moving mechanism (5c/14?). Making a basic ship of this speed suddenly feels a bit more possible.

Code: Select all

x = 7, y = 5, rule = B3/S23
6bo$3obobo$obobobo$3obobo$6bo!

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gmc_nxtman
Posts: 1150
Joined: May 26th, 2015, 7:20 pm

Re: Thread for your unsure discoveries

Post by gmc_nxtman » May 1st, 2016, 10:49 am

Can this unsure transparent block reaction be tamed into an Fx98?

Code: Select all

x = 20, y = 21, rule = LifeHistory
13.2A$13.2A7$18.2A$18.2A$C$C.C$3C$2.C4$9.2A$10.A$7.3A$7.A!

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Extrementhusiast
Posts: 1966
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: Thread for your unsure discoveries

Post by Extrementhusiast » May 2nd, 2016, 12:06 pm

gmc_nxtman wrote:Can this unsure transparent block reaction be tamed into an Fx98?

Code: Select all

RLE
Doubt it; you'd have to reconstruct the eater.
I Like My Heisenburps! (and others)

unze2unze4
Posts: 3
Joined: May 4th, 2016, 7:21 pm

Re: Thread for your unsure discoveries

Post by unze2unze4 » May 4th, 2016, 7:32 pm

I think I found a Methuselah. Its got rotational symmetry, and it stabilizes on generation 3373. A lot of gliders came out of it. Is it the parent of another Methuselah, or has someone already discovered this one?
oooooxxx
ooooooxo
oooooxoo
ooooxooo
oooxoooo
ooxooooo
oxoooooo
xxxooooo

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

Re: Thread for your unsure discoveries

Post by drc » May 4th, 2016, 9:41 pm

unze2unze4 wrote:I think I found a Methuselah. Its got rotational symmetry, and it stabilizes on generation 3373. A lot of gliders came out of it. Is it the parent of another Methuselah, or has someone already discovered this one?
oooooxxx
ooooooxo
oooooxoo
ooooxooo
oooxoooo
ooxooooo
oxoooooo
xxxooooo
It stabilizes at gen 192, and it is just a predecessor of two Pi-heptominoes.

unze2unze4
Posts: 3
Joined: May 4th, 2016, 7:21 pm

Re: Thread for your unsure discoveries

Post by unze2unze4 » May 4th, 2016, 9:59 pm

drc wrote:
unze2unze4 wrote:I think I found a Methuselah. Its got rotational symmetry, and it stabilizes on generation 3373. A lot of gliders came out of it. Is it the parent of another Methuselah, or has someone already discovered this one?
oooooxxx
ooooooxo
oooooxoo
ooooxooo
oooxoooo
ooxooooo
oxoooooo
xxxooooo
It stabilizes at gen 192, and it is just a predecessor of two Pi-heptominoes.
Oops!
Sorry, its supposed to be 2 cells longer, my bad:
oooooooxxx
ooooooooxo
oooooooxoo
ooooooxooo
oooooxoooo
ooooxooooo
oooxoooooo
ooxooooooo
oxoooooooo
xxxooooooo

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: Thread for your unsure discoveries

Post by M. I. Wright » May 4th, 2016, 11:29 pm

Do you have Golly? It lets you copy and paste patterns into/out of a run-length encoded format - pretty useful, since manually copying every cell can get tedious. Here's the RLE for your pattern:

Code: Select all

x = 10, y = 10, rule = B3/S23
7b3o$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$3o!
It's still a predecessor of two pi-heptominoes (they can both be seen starting at generation 2), and unfortunately it isn't notable compared with existing methuselahs - take Lidka, for example, which has one less cell to start with but lasts nearly nine times as long, or 23334M, which has both a smaller starting population and bounding box but lasts (as the name suggests) for 23,334 generations. Someone who's thought about it more than I have could probably give a better definition of what a notable methuselah looks like, but imo if it has more than 10 cells and doesn't last longer than, say, Acorn, it isn't really interesting unless it has any cool quirks (outputs a high number of spaceships [not gliders], leaves behind an unusual still life or oscillator, leaves behind no debris or a few simple objects, etc).

Lots of beginners try to develop methuselahs, maybe because they look simpler than other areas of Life, but without a search program it's pretty much a waste of time - not to scare you off, but take a look through that list of long-lived methuselahs (pay attention to the leftmost column) and you'll see what I mean.

unze2unze4
Posts: 3
Joined: May 4th, 2016, 7:21 pm

Re: Thread for your unsure discoveries

Post by unze2unze4 » May 5th, 2016, 5:03 am

M. I. Wright wrote:Do you have Golly? It lets you copy and paste patterns into/out of a run-length encoded format - pretty useful, since manually copying every cell can get tedious. Here's the RLE for your pattern:

Code: Select all

x = 10, y = 10, rule = B3/S23
7b3o$8bo$7bo$6bo$5bo$4bo$3bo$2bo$bo$3o!
It's still a predecessor of two pi-heptominoes (they can both be seen starting at generation 2), and unfortunately it isn't notable compared with existing methuselahs - take Lidka, for example, which has one less cell to start with but lasts nearly nine times as long, or 23334M, which has both a smaller starting population and bounding box but lasts (as the name suggests) for 23,334 generations. Someone who's thought about it more than I have could probably give a better definition of what a notable methuselah looks like, but imo if it has more than 10 cells and doesn't last longer than, say, Acorn, it isn't really interesting unless it has any cool quirks (outputs a high number of spaceships [not gliders], leaves behind an unusual still life or oscillator, leaves behind no debris or a few simple objects, etc).

Lots of beginners try to develop methuselahs, maybe because they look simpler than other areas of Life, but without a search program it's pretty much a waste of time - not to scare you off, but take a look through that list of long-lived methuselahs (pay attention to the leftmost column) and you'll see what I mean.
I do have golly, im just an idiot.

mtve
Posts: 22
Joined: April 19th, 2016, 4:59 pm
Contact:

Re: Thread for your unsure discoveries

Post by mtve » May 5th, 2016, 7:29 am

Would you please help me to verify following pattern?

It has parents but all of them are Gardens of Eden, so it has no grandparent:

Code: Select all

XXXXXXXX.XXXXX.XXXX.XXX.
X.X..XX..XXX..XXXX.XX..X
XX.X.XXXX.XXXX.XX.X..XXX
XXX.X.X.X.X..X.XXX.XXX..
X.XX......X..XXXXX...XX.
.X.X.XXXXXXXXX.X.X......
X.X.XX....X..X.XXXX.X...
X.X.X..XXX.XXX.XX.......
XXXX..XX.XXX.XXXX....X..
XXXX.XXXXXX..X......X...
X.X.XXX.XX.XX.XXX.XX...X
X.XXX.X.XXXXXX.XXXX.X...
..XXXXXX.X.XX..XXX......
XX..X.X.X.XXXX..........
.XXXX.XXXX..XXXXXX....XX
X.X.X.X..XX.XX..XX..XXX.
X...XX.XX..XXX.XX...X...
XX.XX....XX....XXX......
XXX.X.XXXXX...XXXX.X.X.X
X.XXXX..XX...X.X....X..X
XX.XX....XX...X.....XX.?
.XXXX.X..X.X....X.XX..X?
XXX...XX.XXX..X.X......?

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Scorbie
Posts: 1692
Joined: December 7th, 2013, 1:05 am

Re: Thread for your unsure discoveries

Post by Scorbie » May 5th, 2016, 8:12 am

I can't really verify it, but this is a REALLY big deal if what you claim turns out to be correct.
I think this JLS search could verify it, but I think it would take a long time.

nogp.jdf

Code: Select all

# JavaLifeSearch status file, automatically generated
#
# Any changes to it, including changing order of lines, may cause
# any kinds of strange behaviour after loading it to JLS
# including errors, deadlocks, or crashes.

[Properties]

columns=30
rows=29
generations=3
periods={3,1,2,3,4,5,6}
outer_space_unset=No
symmetry=None
tile_horizontal=No
tile_horizontal_shift_down=0
tile_horizontal_shift_future=0
tile_vertical=No
tile_vertical_shift_right=0
tile_vertical_shift_future=0
tile_temporal=No
tile_temporal_shift_right=0
tile_temporal_shift_down=0
translation=None
rule_birth={No,No,No,Yes,No,No,No,No,No}
rule_survival={No,No,Yes,Yes,No,No,No,No,No}

[SearchOptions]

sort_generations_first=No
sort_to_future=No
sort_start_column=0
sort_start_row=0
sort_type=Horizontal
sort_reverse=No
prepare_in_background=Yes
ignore_subperiods=No
prune_with_combination=No
pause_each_iteration=No
pause_on_solution=Yes
save_solutions=No
save_solutions_file=
save_solutions_spacing=20
save_solutions_all_generations=No
save_status=No
save_status_file=
save_status_period=60
display_status=Yes
display_status_period=5
limit_generation_0=No
limit_generation_0_cells=1
limit_generation_0_variables_only=No
layers_live_constraint=No
layers_live_cells=1
layers_live_cells_variables_only=No
layers_active_constraint=No
layers_active_cells=1
layers_active_cells_variables_only=No
layers_from_sorting=Yes
layers_start_column=0
layers_start_row=0
layers_type=Columns

[CellArray]

read_only=Yes

cells{0,0}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}
cells{0,1}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,2}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,3}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,4}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,5}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,6}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,7}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,8}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,9}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,10}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,11}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,12}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,13}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,14}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,15}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,16}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,17}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,18}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,19}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,20}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,21}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,22}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,23}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,24}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,25}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,26}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,27}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,28}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}

cells{1,0}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}
cells{1,1}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}
cells{1,2}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,3}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,4}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,5}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,6}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,7}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,8}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,9}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,10}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,11}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,12}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,13}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,14}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,15}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,16}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,17}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,18}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,19}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,20}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,21}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,22}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,23}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,24}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,25}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,26}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,27}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}
cells{1,28}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}

cells{2,0}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,1}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,2}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,3}={0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0}
cells{2,4}={0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0}
cells{2,5}={0,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0}
cells{2,6}={0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0}
cells{2,7}={0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0}
cells{2,8}={0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0}
cells{2,9}={0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0}
cells{2,10}={0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0}
cells{2,11}={0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0}
cells{2,12}={0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0}
cells{2,13}={0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0}
cells{2,14}={0,0,0,1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0}
cells{2,15}={0,0,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0}
cells{2,16}={0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,17}={0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0}
cells{2,18}={0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0}
cells{2,19}={0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0}
cells{2,20}={0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0}
cells{2,21}={0,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0}
cells{2,22}={0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0}
cells{2,23}={0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0}
cells{2,24}={0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0}
cells{2,25}={0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0}
cells{2,26}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,27}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,28}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

stacks{0}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{1}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{2}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{3}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{4}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{5}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{6}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{7}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{8}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{9}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{10}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{11}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{12}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{13}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{14}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{15}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{16}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{17}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{18}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{19}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{20}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{21}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{22}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{23}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{24}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{25}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{26}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{27}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{28}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}

[Search]

cell_count=2610
search_mode=Yes
variable_count=1406
time_passed_ns=222388824998
iterations_done=81666608
solutions_found=0

cells{0,0}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}
cells{0,1}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,2}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,3}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,4}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,5}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,6}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,7}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,8}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,9}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,10}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,11}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,12}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,13}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,14}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,15}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,16}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,17}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,18}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,19}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,20}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,21}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,22}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,23}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,24}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,25}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,26}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,27}={10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10}
cells{0,28}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}

cells{1,0}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}
cells{1,1}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}
cells{1,2}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,3}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,4}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,5}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,6}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,7}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,8}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,9}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,10}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,11}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,12}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,13}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,14}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,15}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,16}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,17}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,18}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,19}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,20}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,21}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,22}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,23}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,24}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,25}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,26}={10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10}
cells{1,27}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}
cells{1,28}={10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10}

cells{2,0}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,1}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,2}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,3}={0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0}
cells{2,4}={0,0,0,1,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,0,0}
cells{2,5}={0,0,0,1,1,0,1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0}
cells{2,6}={0,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0}
cells{2,7}={0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0}
cells{2,8}={0,0,0,0,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0}
cells{2,9}={0,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0}
cells{2,10}={0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0}
cells{2,11}={0,0,0,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0}
cells{2,12}={0,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0}
cells{2,13}={0,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0}
cells{2,14}={0,0,0,1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0}
cells{2,15}={0,0,0,0,0,1,1,1,1,1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0}
cells{2,16}={0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,17}={0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0}
cells{2,18}={0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0}
cells{2,19}={0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0}
cells{2,20}={0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0}
cells{2,21}={0,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0}
cells{2,22}={0,0,0,1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0}
cells{2,23}={0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0}
cells{2,24}={0,0,0,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0}
cells{2,25}={0,0,0,1,1,1,0,0,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0}
cells{2,26}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,27}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
cells{2,28}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}

stacks{0}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{1}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{2}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{3}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{4}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{5}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{6}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{7}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{8}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{9}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{10}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{11}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{12}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{13}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{14}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{15}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{16}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{17}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{18}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{19}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{20}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{21}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{22}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{23}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{24}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{25}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{26}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{27}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
stacks{28}={16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}

# Representatives:
# Variable index for each cell, -1 for cells without a variable

representative{0,0}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{0,1}={-1,1405,1404,1403,1402,1401,1400,1399,1398,1397,1396,1395,1394,1393,1392,1391,1390,1389,1388,1387,1386,1385,1384,1383,1382,1381,1380,1379,1378,-1}
representative{0,2}={-1,1377,1376,1374,1372,1370,1368,1366,1364,1362,1360,1358,1356,1354,1352,1350,1348,1346,1344,1342,1340,1338,1336,1334,1332,1330,1328,1326,1324,-1}
representative{0,3}={-1,1323,1322,1320,1318,1316,1314,1312,1310,1308,1306,1304,1302,1300,1298,1296,1294,1292,1290,1288,1286,1284,1282,1280,1278,1276,1274,1272,1270,-1}
representative{0,4}={-1,1269,1268,1266,1264,1262,1260,1258,1256,1254,1252,1250,1248,1246,1244,1242,1240,1238,1236,1234,1232,1230,1228,1226,1224,1222,1220,1218,1216,-1}
representative{0,5}={-1,1215,1214,1212,1210,1208,1206,1204,1202,1200,1198,1196,1194,1192,1190,1188,1186,1184,1182,1180,1178,1176,1174,1172,1170,1168,1166,1164,1162,-1}
representative{0,6}={-1,1161,1160,1158,1156,1154,1152,1150,1148,1146,1144,1142,1140,1138,1136,1134,1132,1130,1128,1126,1124,1122,1120,1118,1116,1114,1112,1110,1108,-1}
representative{0,7}={-1,1107,1106,1104,1102,1100,1098,1096,1094,1092,1090,1088,1086,1084,1082,1080,1078,1076,1074,1072,1070,1068,1066,1064,1062,1060,1058,1056,1054,-1}
representative{0,8}={-1,1053,1052,1050,1048,1046,1044,1042,1040,1038,1036,1034,1032,1030,1028,1026,1024,1022,1020,1018,1016,1014,1012,1010,1008,1006,1004,1002,1000,-1}
representative{0,9}={-1,999,998,996,994,992,990,988,986,984,982,980,978,976,974,972,970,968,966,964,962,960,958,956,954,952,950,948,946,-1}
representative{0,10}={-1,945,944,942,940,938,936,934,932,930,928,926,924,922,920,918,916,914,912,910,908,906,904,902,900,898,896,894,892,-1}
representative{0,11}={-1,891,890,888,886,884,882,880,878,876,874,872,870,868,866,864,862,860,858,856,854,852,850,848,846,844,842,840,838,-1}
representative{0,12}={-1,837,836,834,832,830,828,826,824,822,820,818,816,814,812,810,808,806,804,802,800,798,796,794,792,790,788,786,784,-1}
representative{0,13}={-1,783,782,780,778,776,774,772,770,768,766,764,762,760,758,756,754,752,750,748,746,744,742,740,738,736,734,732,730,-1}
representative{0,14}={-1,729,728,726,724,722,720,718,716,714,712,710,708,706,704,702,700,698,696,694,692,690,688,686,684,682,680,678,676,-1}
representative{0,15}={-1,675,674,672,670,668,666,664,662,660,658,656,654,652,650,648,646,644,642,640,638,636,634,632,630,628,626,624,622,-1}
representative{0,16}={-1,621,620,618,616,614,612,610,608,606,604,602,600,598,596,594,592,590,588,586,584,582,580,578,576,574,572,570,568,-1}
representative{0,17}={-1,567,566,564,562,560,558,556,554,552,550,548,546,544,542,540,538,536,534,532,530,528,526,524,522,520,518,516,514,-1}
representative{0,18}={-1,513,512,510,508,506,504,502,500,498,496,494,492,490,488,486,484,482,480,478,476,474,472,470,468,466,464,462,460,-1}
representative{0,19}={-1,459,458,456,454,452,450,448,446,444,442,440,438,436,434,432,430,428,426,424,422,420,418,416,414,412,410,408,406,-1}
representative{0,20}={-1,405,404,402,400,398,396,394,392,390,388,386,384,382,380,378,376,374,372,370,368,366,364,362,360,358,356,354,352,-1}
representative{0,21}={-1,351,350,348,346,344,342,340,338,336,334,332,330,328,326,324,322,320,318,316,314,312,310,308,306,304,302,300,298,-1}
representative{0,22}={-1,297,296,294,292,290,288,286,284,282,280,278,276,274,272,270,268,266,264,262,260,258,256,254,252,250,248,246,244,-1}
representative{0,23}={-1,243,242,240,238,236,234,232,230,228,226,224,222,220,218,216,214,212,210,208,206,204,202,200,198,196,194,192,190,-1}
representative{0,24}={-1,189,188,186,184,182,180,178,176,174,172,170,168,166,164,162,160,158,156,154,152,150,148,146,144,142,140,138,136,-1}
representative{0,25}={-1,135,134,132,130,128,126,124,122,120,118,116,114,112,110,108,106,104,102,100,98,96,94,92,90,88,86,84,82,-1}
representative{0,26}={-1,81,80,78,76,74,72,70,68,66,64,62,60,58,56,54,52,50,48,46,44,42,40,38,36,34,32,30,28,-1}
representative{0,27}={-1,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0,-1}
representative{0,28}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}

representative{1,0}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{1,1}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{1,2}={-1,-1,1375,1373,1371,1369,1367,1365,1363,1361,1359,1357,1355,1353,1351,1349,1347,1345,1343,1341,1339,1337,1335,1333,1331,1329,1327,1325,-1,-1}
representative{1,3}={-1,-1,1321,1319,1317,1315,1313,1311,1309,1307,1305,1303,1301,1299,1297,1295,1293,1291,1289,1287,1285,1283,1281,1279,1277,1275,1273,1271,-1,-1}
representative{1,4}={-1,-1,1267,1265,1263,1261,1259,1257,1255,1253,1251,1249,1247,1245,1243,1241,1239,1237,1235,1233,1231,1229,1227,1225,1223,1221,1219,1217,-1,-1}
representative{1,5}={-1,-1,1213,1211,1209,1207,1205,1203,1201,1199,1197,1195,1193,1191,1189,1187,1185,1183,1181,1179,1177,1175,1173,1171,1169,1167,1165,1163,-1,-1}
representative{1,6}={-1,-1,1159,1157,1155,1153,1151,1149,1147,1145,1143,1141,1139,1137,1135,1133,1131,1129,1127,1125,1123,1121,1119,1117,1115,1113,1111,1109,-1,-1}
representative{1,7}={-1,-1,1105,1103,1101,1099,1097,1095,1093,1091,1089,1087,1085,1083,1081,1079,1077,1075,1073,1071,1069,1067,1065,1063,1061,1059,1057,1055,-1,-1}
representative{1,8}={-1,-1,1051,1049,1047,1045,1043,1041,1039,1037,1035,1033,1031,1029,1027,1025,1023,1021,1019,1017,1015,1013,1011,1009,1007,1005,1003,1001,-1,-1}
representative{1,9}={-1,-1,997,995,993,991,989,987,985,983,981,979,977,975,973,971,969,967,965,963,961,959,957,955,953,951,949,947,-1,-1}
representative{1,10}={-1,-1,943,941,939,937,935,933,931,929,927,925,923,921,919,917,915,913,911,909,907,905,903,901,899,897,895,893,-1,-1}
representative{1,11}={-1,-1,889,887,885,883,881,879,877,875,873,871,869,867,865,863,861,859,857,855,853,851,849,847,845,843,841,839,-1,-1}
representative{1,12}={-1,-1,835,833,831,829,827,825,823,821,819,817,815,813,811,809,807,805,803,801,799,797,795,793,791,789,787,785,-1,-1}
representative{1,13}={-1,-1,781,779,777,775,773,771,769,767,765,763,761,759,757,755,753,751,749,747,745,743,741,739,737,735,733,731,-1,-1}
representative{1,14}={-1,-1,727,725,723,721,719,717,715,713,711,709,707,705,703,701,699,697,695,693,691,689,687,685,683,681,679,677,-1,-1}
representative{1,15}={-1,-1,673,671,669,667,665,663,661,659,657,655,653,651,649,647,645,643,641,639,637,635,633,631,629,627,625,623,-1,-1}
representative{1,16}={-1,-1,619,617,615,613,611,609,607,605,603,601,599,597,595,593,591,589,587,585,583,581,579,577,575,573,571,569,-1,-1}
representative{1,17}={-1,-1,565,563,561,559,557,555,553,551,549,547,545,543,541,539,537,535,533,531,529,527,525,523,521,519,517,515,-1,-1}
representative{1,18}={-1,-1,511,509,507,505,503,501,499,497,495,493,491,489,487,485,483,481,479,477,475,473,471,469,467,465,463,461,-1,-1}
representative{1,19}={-1,-1,457,455,453,451,449,447,445,443,441,439,437,435,433,431,429,427,425,423,421,419,417,415,413,411,409,407,-1,-1}
representative{1,20}={-1,-1,403,401,399,397,395,393,391,389,387,385,383,381,379,377,375,373,371,369,367,365,363,361,359,357,355,353,-1,-1}
representative{1,21}={-1,-1,349,347,345,343,341,339,337,335,333,331,329,327,325,323,321,319,317,315,313,311,309,307,305,303,301,299,-1,-1}
representative{1,22}={-1,-1,295,293,291,289,287,285,283,281,279,277,275,273,271,269,267,265,263,261,259,257,255,253,251,249,247,245,-1,-1}
representative{1,23}={-1,-1,241,239,237,235,233,231,229,227,225,223,221,219,217,215,213,211,209,207,205,203,201,199,197,195,193,191,-1,-1}
representative{1,24}={-1,-1,187,185,183,181,179,177,175,173,171,169,167,165,163,161,159,157,155,153,151,149,147,145,143,141,139,137,-1,-1}
representative{1,25}={-1,-1,133,131,129,127,125,123,121,119,117,115,113,111,109,107,105,103,101,99,97,95,93,91,89,87,85,83,-1,-1}
representative{1,26}={-1,-1,79,77,75,73,71,69,67,65,63,61,59,57,55,53,51,49,47,45,43,41,39,37,35,33,31,29,-1,-1}
representative{1,27}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{1,28}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}

representative{2,0}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,1}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,2}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,3}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,4}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,5}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,6}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,7}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,8}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,9}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,10}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,11}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,12}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,13}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,14}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,15}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,16}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,17}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,18}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,19}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,20}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,21}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,22}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,23}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,24}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,25}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,26}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,27}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}
representative{2,28}={-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1}


# Variable combination states:

combination{0}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{100}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{200}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{300}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{400}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{500}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{600}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{700}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{800}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{900}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{1000}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{1100}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{1200}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{1300}={2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2}
combination{1400}={2,2,2,2,2,2}

# Stack:
# - Variable index
# - Variable value, 0 = OFF, 1 = ON
# - Item type, 0 = closed, 1 = open (i.e. the other state was not tried yet)

stack{0}={1375,0,1}
stack{1}={1321,0,1}
stack{2}={1267,0,1}
stack{3}={1213,0,1}
stack{4}={1159,0,1}
stack{5}={1105,0,1}
stack{6}={1051,0,1}
stack{7}={997,0,1}
stack{8}={943,0,1}
stack{9}={889,0,1}
stack{10}={835,0,1}
stack{11}={781,0,1}
stack{12}={727,0,1}
stack{13}={673,0,1}
stack{14}={619,0,1}
stack{15}={565,0,1}
stack{16}={511,0,1}
stack{17}={457,0,1}
stack{18}={403,0,1}
stack{19}={349,0,1}
stack{20}={295,1,0}
stack{21}={241,0,1}
stack{22}={187,0,1}
stack{23}={133,0,1}
stack{24}={79,1,0}
stack{25}={1373,1,0}
stack{26}={1319,0,1}
stack{27}={1265,0,1}
stack{28}={1211,1,0}
stack{29}={1157,0,1}
stack{30}={1103,0,1}
stack{31}={1049,1,0}
stack{32}={995,0,1}
stack{33}={941,0,1}
stack{34}={887,1,0}
stack{35}={833,1,0}
stack{36}={779,0,1}
stack{37}={725,0,1}
stack{38}={671,1,0}
stack{39}={617,0,1}
stack{40}={563,0,1}
stack{41}={509,0,1}
stack{42}={455,1,0}
Oh... There's alternative ways to verify these like in this thread

Sokwe
Moderator
Posts: 2644
Joined: July 9th, 2009, 2:44 pm

Re: Thread for your unsure discoveries

Post by Sokwe » May 5th, 2016, 4:52 pm

mtve wrote:Would you please help me to verify following pattern?

It has parents but all of them are Gardens of Eden, so it has no grandparent:
I haven't yet been able to verify this, but if true, this would be an extremely interesting result. Can you give insight into how you found it? Do all predecessors of this pattern contain the same orphan?
-Matthias Merzenich

grisha5
Posts: 13
Joined: November 6th, 2014, 3:39 am

Re: Thread for your unsure discoveries

Post by grisha5 » May 5th, 2016, 9:26 pm

Not sure if this has been made... I think i got a new stillife, by putting a tub inside traffic lights or something... :?

Code: Select all

#CXRLE Pos=-6,-5
x = 9, y = 9, rule = B3/S23
4bo$3bobo$3bobo$b2o3b2o$o7bo$b2o3b2o$3bobo$3bobo$4bo!
EDIT: BTW it can be converted bact to lights if you place a single cell at one of its four "tips"
My name is a methuselah with a lifetime of 369, and produces 1 bakery 1 traffic lights, 4 blinkers(excluding the lights),1 loaf(again, excluding the bakery),2 boats, 2 beehives, 3 blocks.

mtve
Posts: 22
Joined: April 19th, 2016, 4:59 pm
Contact:

Re: Thread for your unsure discoveries

Post by mtve » May 6th, 2016, 2:21 am

Sokwe wrote:Can you give insight into how you found it?
It was found by an algorithm similar to Nicolay Beluchenko's OEIS sequence A196447 - try next cell on and off, skip first level GoEs, choose minimum number of grandparents, where minimum number is not the exact number but just a minimal distance between first and last. Search is done with picosat, like in Mark Owen's Unlife (thanks to Scorbie for the link).

I thought it would be 100x100 pattern but luckily it's more like 20x20, so I wonder what size of no-grand-grand-parent solution would be, 30x30 or 40x40?
Sokwe wrote:Do all predecessors of this pattern contain the same orphan?
Good question, there are 17920 parents, need to investigate.
Last edited by mtve on May 6th, 2016, 4:50 am, edited 2 times in total.

grisha5
Posts: 13
Joined: November 6th, 2014, 3:39 am

Re: Thread for your unsure discoveries

Post by grisha5 » May 6th, 2016, 2:36 am

Can anyone suggest a name for the still life i found?

Sokwe
Moderator
Posts: 2644
Joined: July 9th, 2009, 2:44 pm

Re: Thread for your unsure discoveries

Post by Sokwe » May 6th, 2016, 2:53 am

grisha5 wrote:Can anyone suggest a name for the still life i found?
The still life you found is called small lake.
-Matthias Merzenich

grisha5
Posts: 13
Joined: November 6th, 2014, 3:39 am

Re: Thread for your unsure discoveries

Post by grisha5 » May 6th, 2016, 5:28 am

Oh, thank you!
My name is a methuselah with a lifetime of 369, and produces 1 bakery 1 traffic lights, 4 blinkers(excluding the lights),1 loaf(again, excluding the bakery),2 boats, 2 beehives, 3 blocks.

Sokwe
Moderator
Posts: 2644
Joined: July 9th, 2009, 2:44 pm

Re: Thread for your unsure discoveries

Post by Sokwe » May 6th, 2016, 8:41 pm

Using JLS I have been able to confirm that mtve's pattern does indeed solve the grandfather problem. Here is my method:

First, run a search to find all 1-generation predecessors of the given pattern. Here is the .jdf file:

Code: Select all

# JavaLifeSearch status file, automatically generated
#
# Any changes to it, including changing order of lines, may cause
# any kinds of strange behaviour after loading it to JLS
# including errors, deadlocks, or crashes.

[Properties]

columns=40
rows=39
generations=2
periods={2,1,2,3,4,5,6}
outer_space_unset=Yes
symmetry=None
tile_horizontal=No
tile_horizontal_shift_down=0
tile_horizontal_shift_future=0
tile_vertical=No
tile_vertical_shift_right=0
tile_vertical_shift_future=0
tile_temporal=No
tile_temporal_shift_right=0
tile_temporal_shift_down=0
translation=None
rule_birth={No,No,No,Yes,No,No,No,No,No}
rule_survival={No,No,Yes,Yes,No,No,No,No,No}

[SearchOptions]

sort_generations_first=Yes
sort_to_future=Yes
sort_start_column=20
sort_start_row=19
sort_type=Circle
sort_reverse=No
prepare_in_background=Yes
ignore_subperiods=No
prune_with_combination=No
pause_each_iteration=No
pause_on_solution=No
save_solutions=No
save_solutions_file=
save_solutions_spacing=20
save_solutions_all_generations=No
save_status=No
save_status_file=
save_status_period=60
display_status=Yes
display_status_period=5
limit_generation_0=No
limit_generation_0_cells=1
limit_generation_0_variables_only=No
layers_live_constraint=No
layers_live_cells=1
layers_live_cells_variables_only=No
layers_active_constraint=No
layers_active_cells=1
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stacks{11}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{12}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{13}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{14}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{15}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{16}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{17}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{18}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{19}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{20}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{21}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{22}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{23}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{24}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{25}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{26}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{27}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{28}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{29}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0,0}
stacks{30}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0,0}
stacks{31}={0,0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0,0}
stacks{32}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{33}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{34}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{35}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{36}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{37}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{38}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
Note that "pause_on_solution" is set to "No". After the search finishes running, it gives all of the cells that had the same setting in all solutions (which, in this case, is most cells). Select "Search -> Accept Displayed State" to copy these cells into the pattern.

Next, mark all of the unset cells with "X". Then, increase the period by 1 and shift the pattern to the future by 1 generation. Set the outer cells to "X" in generation 0. Go to "Search -> Options" and check "Pause search after each solution". The .jdf file should look something like this:

Code: Select all

# JavaLifeSearch status file, automatically generated
#
# Any changes to it, including changing order of lines, may cause
# any kinds of strange behaviour after loading it to JLS
# including errors, deadlocks, or crashes.

[Properties]

columns=40
rows=39
generations=3
periods={3,1,2,3,4,5,6}
outer_space_unset=Yes
symmetry=None
tile_horizontal=No
tile_horizontal_shift_down=0
tile_horizontal_shift_future=0
tile_vertical=No
tile_vertical_shift_right=0
tile_vertical_shift_future=0
tile_temporal=No
tile_temporal_shift_right=0
tile_temporal_shift_down=0
translation=None
rule_birth={No,No,No,Yes,No,No,No,No,No}
rule_survival={No,No,Yes,Yes,No,No,No,No,No}

[SearchOptions]

sort_generations_first=Yes
sort_to_future=Yes
sort_start_column=20
sort_start_row=19
sort_type=Circle
sort_reverse=No
prepare_in_background=Yes
ignore_subperiods=No
prune_with_combination=No
pause_each_iteration=No
pause_on_solution=Yes
save_solutions=No
save_solutions_file=
save_solutions_spacing=20
save_solutions_all_generations=No
save_status=No
save_status_file=
save_status_period=60
display_status=Yes
display_status_period=5
limit_generation_0=No
limit_generation_0_cells=1
limit_generation_0_variables_only=No
layers_live_constraint=No
layers_live_cells=1
layers_live_cells_variables_only=No
layers_active_constraint=No
layers_active_cells=1
layers_active_cells_variables_only=No
layers_from_sorting=Yes
layers_start_column=20
layers_start_row=19
layers_type=Circles

[CellArray]

read_only=No

cells{0,0}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,1}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,2}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,3}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,4}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,5}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,6}={6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,7}={6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,8}={6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,9}={6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,10}={6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,11}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,12}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,13}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,14}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6}
cells{0,15}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6}
cells{0,16}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,17}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,18}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,19}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,20}={6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,21}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,22}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,23}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,24}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,25}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,26}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,27}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,28}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,29}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6}
cells{0,30}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6}
cells{0,31}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6}
cells{0,32}={6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6,6}
cells{0,33}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,34}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,35}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,36}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,37}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{0,38}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}

cells{1,0}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{1,1}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{1,2}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{1,3}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{1,4}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{1,5}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{1,6}={6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6}
cells{1,7}={6,6,6,6,6,6,6,6,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,1,6,6,6,6,6,6,6,6}
cells{1,8}={6,6,6,6,6,6,6,6,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,6,6,6,6,6,6,6}
cells{1,9}={6,6,6,6,6,6,6,6,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,6,6,6,6,6,6,6}
cells{1,10}={6,6,6,6,6,6,6,6,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,0,6,6,6,6,6,6,6}
cells{1,11}={6,6,6,6,6,6,6,6,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,6,6,6,6,6,6,6}
cells{1,12}={6,6,6,6,6,6,6,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,1,1,1,6,6,6,6,6,6,6}
cells{1,13}={6,6,6,6,6,6,6,6,0,1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,6,6,6,6,6,6,6,6}
cells{1,14}={6,6,6,6,6,6,6,6,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,6,6,6,6,6,6,6,6}
cells{1,15}={6,6,6,6,6,6,6,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,1,6,6,6,6,6,6,6,6}
cells{1,16}={6,6,6,6,6,6,6,6,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,1,1,6,6,6,6,6,6,6,6}
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stacks{27}={0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0}
stacks{28}={0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0}
stacks{29}={0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0}
stacks{30}={0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{31}={0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0}
stacks{32}={0,0,0,0,0,0,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,0,0,0,0,0,0,0,0}
stacks{33}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{34}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{35}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{36}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{37}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
stacks{38}={0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
Running this should give "Search finished: 0 solutions found" after several hours.

Congratulations on this discovery! Lifeline Volume 6 claims that Conway offered a $50 prize for such a pattern, but I'm not sure if there was a time limit on the prize.

Edit: Here is a parent of mtve's pattern:

Code: Select all

x = 30, y = 30, rule = B3/S23
15bo3bob2o$5bob2ob2o2bo5b5obo$6b10o5b2o4bo$4bobo2b2obob2o3bo3bob5o$3bo
2b2o2b2o3b2o3b2o5bo$o2bo3bo4bo4bobo2b2o2bo$bobob2obob2ob2obobo3bo2bo$
3o4bobobobo2bo2bo2b2o2bo$3o2bo2bo6b2o2b2obo2b4o$bo2bobob5ob2o2bo3b2o2b
o$4obobo3bobo5bo2b2ob2o$2obo2bo3bo2bob2o2bobo3b2obo$b2o2bobo2bo5bo2b5o
b2o$2o2bo4bob2obobo2bobo4bo$2obobo2bo3bo2bob2ob2o2b3obo$b3o2bobo4bo2bo
4bo4bobo$bo3bo4b2o2bo3bo3b2ob5o$2ob2o2bobo3b2o2b2ob5obob2o$2o2bob2ob2o
4bob2o3bo2bo2bo$b2o4bo3b2obo6b2o2bo2b2o$b2o2bobobob2o3bob2ob2o2bob3o$
2obo2bo6bobob2o2b2o4b2o$2o2bobo7b3o5bobo2b2o$bobo4b5o2bo3b2o2bobo2b2o$
b3obobob2o2b2o3b4obo3b3o$2o4bo7b4obob2o3b3o$4o2bo3b3o3b2o7b3obo$bob2o
4b2obo2bo3b7o$bo2b19obo$3bob2ob2o2b2o2b2ob2o4bo!
-Matthias Merzenich

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codeholic
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Re: Thread for your unsure discoveries

Post by codeholic » May 7th, 2016, 6:44 am

Congratulations, mtve!
Ivan Fomichev

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lifeisawesome
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Re: Thread for your unsure discoveries

Post by lifeisawesome » May 7th, 2016, 8:31 am

Is it just me, or a lot of newcomers seem to be posting interesting things lately?
--Szymon Bartosiewicz
favorite pattern:

Code: Select all

x = 2, y = 2, rule = B25/S3a
2o$2o!

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dvgrn
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Re: Thread for your unsure discoveries

Post by dvgrn » May 7th, 2016, 10:28 am

lifeisawesome wrote:Is it just me, or a lot of newcomers seem to be posting interesting things lately?
It's not just you. This grandparentless pattern is certainly a bolt from the blue -- solutions to 43.5-year-old open problems don't come along every day. And AbhpzTa's solution to a twenty-year-old open problem showed up less than a month ago, along with new true-period guns. Don't know if NotLiving's aperiodic Life tiles were exactly on anyone's list of open problems, but they certainly seem new and interesting to me...!

Assuming I've transcribed it correctly from Sokwe's second .JDF file, here's the orphan pattern common to all 17920 parents of the Grandparentless pattern:

Code: Select all

x = 28, y = 27, rule = LifeHistory
.27D$.DBABA2B2ABAB2A3BA3BAB2A2D$.DA2B2A2B2A3B2A3B2A5BAD$.DA3BA4BA4BAB
A2B2A2BABD$.DAB2ABAB2AB2ABABA3BA2BA2BD$2D4BABABABA2BA2BA2B2A2BABD$DA
2BA2BA6B2A2B2ABA2B3AD$2DBABAB5AB2A2BA3B2A2BA2D$2DABABA3BABA5BA2B2AB2A
D$DBA2BA3BA2BAB2A2BABA3B2AD$2D2BABA2BA5BA2B5AB2A2D$2DBA4BAB2ABABA2BAB
A4BABD$DBABA2BA3BA2BAB2AB2A2B3ABD$2DA2BABA4BA2BA4BA4BABD$.D2BA4B2A2BA
3BA3B2AB3AD$2D2A2BABA3B2A2B2AB5A2DBD$D2BAB2AB2A4BAB2A3BA2BA2BD$DA4BA
3B2ABA6B2A2BA2BD$DA2BABABAB2A3BAB2AB2A2BABAD$DBA2BA6BABAB2A2B2A4BAD$D
2BABA7B3A5BABA2BAD$DBA4B5A2BA3B2A2BABA2BD$D2ABABAB2A2B2A3B4ABA3BAD$2D
3BA7B4ABAB2A3BA2D$2DA2BA3B3A3B2A7B2AD$DB2A4B2ABA2BA3B2ADA2DA2D$26D!
#C [[ THUMBNAIL ]]
This appears to be a 622-cell orphan, including OFF cells around the edges. Can someone confirm my math here?

Very likely a lot of cells around the edges could be removed, and the reduced pattern would still be an orphan -- but that wouldn't necessarily imply a smaller grandparentless pattern, because there probably wouldn't be any descendants of that smaller orphan with a restrictive enough list of possible parents.

... This stuff is hard to think about -- it's no wonder the problem hasn't been solved before now. Congratulations to mtve!

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Re: Thread for your unsure discoveries

Post by Sokwe » May 7th, 2016, 6:51 pm

dvgrn wrote:This appears to be a 622-cell orphan
Surprisingly, this is not an orphan. Here are two different predecessors:

Code: Select all

x = 77, y = 27, rule = B3/S23
2b2obo3b2o6b2ob2o28bo2bo4bobobob3ob2obo$bo3bobo5bo2bo3b3ob2o26bobo2b7o
b3o2b5obo$3bo2bo2bob4o3bo2bo3b2o23b2o2bo14bo3bobo$2bo3bob2o3bo2bobo3b
2obo24bo3bo6bo2bobobo2b2o$3b3obob2o2bob3o3bo3bobo28b2obobo4bo4b2obo$ob
obo2bo5bobo5bo5bo22bobob2o3b3o2b3o4bo3bo$o3bo6bo4bob2obo3b2o23b2o5bo2b
o3b2obobo2b2o$3bo3b3o4bo4b2ob2obo24bo3b2o2b2o2bo5bo2b2o2b2o$4b2o2bobob
ob2o2b2o5bo24b2obo3bo3b2o4b2obo2bo$2b2o3b3ob2ob2o2bo2bo4bo27bo4bobob2o
2bobo3bo$2b2o2b2o3bo7bo3bobo26b2o3bo2bo3bo5b4o$3bo2bo2bob3obo2bobobo2b
2o22b2o3b2o2bob3obobobo3bo2bo$bo2b4o5b2obo2bob3obobo21b3o2b3o5b2obo2bo
4bo$bo3bo6bo3bo5bo31bo6bo3bo2bo2bo2bo$3bo4bob3o7bo2bob2o25bobo2bob3o8b
o4bo$b2o2bo2bo2b2o3bobo2bo3bobo21bobo5bo2b2o4b4o2bobo$2bo3b3obo3b3o3bo
bobob2o22bo2b3ob2o4bob2obo2bobo$b2o3bo5b2obo9bo24b2o3b2o2b2ob3o4bo3bob
o$bob2obob3o4bo2b3o4b2o24b3o3bo2bobobob4o3bo$2bob2o2b3o4bob2obobobobo
25bo3bo4bobo2bo2bo4bobo$3bo4bo2b3o5bo6bo26b2o7bo8bo4bo$bobo2bob2ob2o2b
2ob2obo2bobo26b2obo6bobo2bo2bobo$13bo5bo2b3o25b4obob6o4b2o3b2o2bo$2o2b
3obo5b3o7b2obo23bo4bo2b2o2b2o2bo2bo2b2obo$10bobo4bobob2o2bobo22bo4b2o
7b2obo2b2obo$3o6bobo38bo2b2ob2obo2bo3b3ob2o$ob2o3bobo2b4o3b2o2b2o27b4o
3bobo2b2o7b2o!
This means that not all of the pattern's parents contain the same orphan.
dvgrn wrote:And AbhpzTa's solution to a twenty-year-old open problem showed up less than a month ago, along with new true-period guns. Don't know if NotLiving's aperiodic Life tiles were exactly on anyone's list of open problems, but they certainly seem new and interesting to me...!
Don't forget about copperhead by 'zdr'.
-Matthias Merzenich

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Re: Thread for your unsure discoveries

Post by dvgrn » May 7th, 2016, 8:29 pm

Sokwe wrote:Surprisingly, this is not an orphan. Here are two different predecessors...
This means that not all of the pattern's parents contain the same orphan.
Did I get the transcription wrong somewhere, or did I misunderstand the verification process? It appeared as if the 622 common cells were what was run through JLS to prove that none of the parent patterns had parents.

Seems as if the alternative would be to run a predecessor check on each of the 17920 parent patterns independently...?

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