Thread For Your Unrecognised CA

dl-rs · Post by **dl-rs** » March 22nd, 2025, 8:09 am

Vlev2 wrote: ↑
March 10th, 2025, 10:18 pm
i found a rule with some cool stuff in it
i call this rule wlife (or w life)
it's rulestring is: B34w/S234w (this rule might already exist)
first cool thing i found: traffic light predecessor oscillator
Code: Select all
x = 1, y = 1, rule = B34w/S234w
3o$obo$3o!
second thing i found: diagonal p7 spaceship
Code: Select all
x = 1, y = 1, rule = B34w/S234w
3b2o$2bo2bo$b2obo$o$obo$bo!

This is indeed an interesting rule. A small c/3 ship:

Code: Select all

x = 20, y = 17, rule = B34w/S234w
2bo14bo$b4o10b4o$o3bob3o2b3obo3bo$bobo4bo2bo4bobo$5b2obo2bob2o$9b2o$6b
8o$7b6o$6bo6bo$6bob4obo$2bo3b2o4b2o3bo$b4o3b4o3b4o$o3bo2b2o2b2o2bo3bo
$3bobo3b2o3bobo$3bobo8bobo$2bo14bo$2bob2o8b2obo!

confocaloid · Post by **confocaloid** » March 22nd, 2025, 10:22 am

Low-period spaceships (below period 5 or 6) are easy to find when they exist at all, the current tools are powerful enough to find them quickly.
Without any additional information, merely finding a low-period spaceship doesn't imply notability of the CA. "Way too many to investigate them all"

pifricted · Post by **pifricted** » March 23rd, 2025, 8:20 am

Ant but move knightwise

Code: Select all

x = 1, y = 1, rule = k-antR1
B!
@RULE k-antR1
@COLORS
1 255 255 255
@NAMES
0 Empty
1 On
2 NE0
3 NE1
4 NEd0
5 NEd1
6 EN0
7 EN1
8 ENd0
9 ENd1
10 ES0
11 ES1
12 ESd0
13 ESd1
14 SE0
15 SE1
16 SEd0
17 SEd1
18 SW0
19 SW1
20 SWd0
21 SWd1
22 WS0
23 WS1
24 WSd0
25 WSd1
26 WN0
27 WN1
28 WNd0
29 WNd1
30 NW0
31 NW1
32 NWd0
33 NWd1
@TABLE
n_states:34
neighborhood:Moore
symmetries:none
var a1={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var B={0,1}
var n={2,3,30,31}
var e={6,7,10,11}
var s={14,15,18,19}
var w={22,23,26,27}
var ne={4,5,8,9}
var se={12,13,15,16}
var sw={20,21,24,25}
var nw={28,29,32,33}
var Nn={B,e,s,w}
var Ne={B,n,s,w}
var Ns={B,n,w,e}
var Nw={B,n,e,s}
var Nne={B,se,sw,nw}
var Nse={B,ne,sw,nw}
var Nsw={B,ne,se,nw}
var Nnw={B,ne,se,sw}
var ant={2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34}
var ant0={3,4,7,8,11,12,15,16,19,20,23,24,27,28,32,31}
var ant1={2,5,6,9,10,13,14,17,18,21,22,25,26,29,30,33}
#0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,
#NE
0,Ns,Nsw,Nw,Nnw,2,Nne,Ne,Nse,4
0,Ns,Nsw,Nw,Nnw,3,Nne,Ne,Nse,4
1,Ns,Nsw,Nw,Nnw,2,Nne,Ne,Nse,5
1,Ns,Nsw,Nw,Nnw,3,Nne,Ne,Nse,5
0,Ns,Nsw,Nw,Nnw,Nn,4,Ne,Nse,6
0,Ns,Nsw,Nw,Nnw,Nn,5,Ne,Nse,6
1,Ns,Nsw,Nw,Nnw,Nn,4,Ne,Nse,31
1,Ns,Nsw,Nw,Nnw,Nn,5,Ne,Nse,31
#EN
0,Ns,Nsw,Nw,Nnw,Nn,Nne,6,Nse,8
0,Ns,Nsw,Nw,Nnw,Nn,Nne,7,Nse,8
1,Ns,Nsw,Nw,Nnw,Nn,Nne,6,Nse,9
1,Ns,Nsw,Nw,Nnw,Nn,Nne,7,Nse,9
0,Ns,Nsw,Nw,Nnw,Nn,8,Ne,Nse,10
0,Ns,Nsw,Nw,Nnw,Nn,9,Ne,Nse,10
1,Ns,Nsw,Nw,Nnw,Nn,8,Ne,Nse,3
1,Ns,Nsw,Nw,Nnw,Nn,9,Ne,Nse,3
#ES
0,Ns,Nsw,Nw,Nnw,Nn,Nne,10,Nse,12
0,Ns,Nsw,Nw,Nnw,Nn,Nne,11,Nse,12
1,Ns,Nsw,Nw,Nnw,Nn,Nne,10,Nse,13
1,Ns,Nsw,Nw,Nnw,Nn,Nne,11,Nse,13
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,12,14
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,13,14
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,12,7
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,13,7
#SE
0,14,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,16
0,15,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,16
1,14,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,17
1,15,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,17
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,16,18
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,17,18
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,16,11
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,17,11
#SW
0,18,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,20
0,19,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,20
1,18,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,21
1,19,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,21
0,Ns,20,Nw,Nnw,Nn,Nne,Ne,Nse,22
0,Ns,21,Nw,Nnw,Nn,Nne,Ne,Nse,22
1,Ns,20,Nw,Nnw,Nn,Nne,Ne,Nse,15
1,Ns,21,Nw,Nnw,Nn,Nne,Ne,Nse,15
#WS
0,Ns,Nsw,22,Nnw,Nn,Nne,Ne,Nse,24
0,Ns,Nsw,23,Nnw,Nn,Nne,Ne,Nse,24
1,Ns,Nsw,22,Nnw,Nn,Nne,Ne,Nse,25
1,Ns,Nsw,23,Nnw,Nn,Nne,Ne,Nse,25
0,Ns,24,Nw,Nnw,Nn,Nne,Ne,Nse,26
0,Ns,25,Nw,Nnw,Nn,Nne,Ne,Nse,26
1,Ns,24,Nw,Nnw,Nn,Nne,Ne,Nse,19
1,Ns,25,Nw,Nnw,Nn,Nne,Ne,Nse,19
#WN
0,Ns,Nsw,26,Nnw,Nn,Nne,Ne,Nse,28
0,Ns,Nsw,27,Nnw,Nn,Nne,Ne,Nse,28
1,Ns,Nsw,26,Nnw,Nn,Nne,Ne,Nse,29
1,Ns,Nsw,27,Nnw,Nn,Nne,Ne,Nse,29
0,Ns,Nsw,Nw,28,Nn,Nne,Ne,Nse,30
0,Ns,Nsw,Nw,29,Nn,Nne,Ne,Nse,30
1,Ns,Nsw,Nw,28,Nn,Nne,Ne,Nse,23
1,Ns,Nsw,Nw,29,Nn,Nne,Ne,Nse,23
#NW
0,Ns,Nsw,Nw,Nnw,30,Nne,Ne,Nse,32
0,Ns,Nsw,Nw,Nnw,31,Nne,Ne,Nse,32
1,Ns,Nsw,Nw,Nnw,30,Nne,Ne,Nse,33
1,Ns,Nsw,Nw,Nnw,31,Nne,Ne,Nse,33
0,Ns,Nsw,Nw,32,Nn,Nne,Ne,Nse,2
0,Ns,Nsw,Nw,33,Nn,Nne,Ne,Nse,2
1,Ns,Nsw,Nw,32,Nn,Nne,Ne,Nse,27
1,Ns,Nsw,Nw,33,Nn,Nne,Ne,Nse,27
#
ant0,a1,a2,a3,a4,a5,a6,a7,a8,0
ant1,a1,a2,a3,a4,a5,a6,a7,a8,1

CARuler · Post by **CARuler** » March 25th, 2025, 3:54 pm

pifricted wrote: ↑

March 23rd, 2025, 8:20 am

Ant but move knightwise

Code: Select all

x = 1, y = 1, rule = k-antR1
B!
@RULE k-antR1
@COLORS
1 255 255 255
@NAMES
0 Empty
1 On
2 NE0
3 NE1
4 NEd0
5 NEd1
6 EN0
7 EN1
8 ENd0
9 ENd1
10 ES0
11 ES1
12 ESd0
13 ESd1
14 SE0
15 SE1
16 SEd0
17 SEd1
18 SW0
19 SW1
20 SWd0
21 SWd1
22 WS0
23 WS1
24 WSd0
25 WSd1
26 WN0
27 WN1
28 WNd0
29 WNd1
30 NW0
31 NW1
32 NWd0
33 NWd1
@TABLE
n_states:34
neighborhood:Moore
symmetries:none
var a1={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var B={0,1}
var n={2,3,30,31}
var e={6,7,10,11}
var s={14,15,18,19}
var w={22,23,26,27}
var ne={4,5,8,9}
var se={12,13,15,16}
var sw={20,21,24,25}
var nw={28,29,32,33}
var Nn={B,e,s,w}
var Ne={B,n,s,w}
var Ns={B,n,w,e}
var Nw={B,n,e,s}
var Nne={B,se,sw,nw}
var Nse={B,ne,sw,nw}
var Nsw={B,ne,se,nw}
var Nnw={B,ne,se,sw}
var ant={2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34}
var ant0={3,4,7,8,11,12,15,16,19,20,23,24,27,28,32,31}
var ant1={2,5,6,9,10,13,14,17,18,21,22,25,26,29,30,33}
#0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,
#NE
0,Ns,Nsw,Nw,Nnw,2,Nne,Ne,Nse,4
0,Ns,Nsw,Nw,Nnw,3,Nne,Ne,Nse,4
1,Ns,Nsw,Nw,Nnw,2,Nne,Ne,Nse,5
1,Ns,Nsw,Nw,Nnw,3,Nne,Ne,Nse,5
0,Ns,Nsw,Nw,Nnw,Nn,4,Ne,Nse,6
0,Ns,Nsw,Nw,Nnw,Nn,5,Ne,Nse,6
1,Ns,Nsw,Nw,Nnw,Nn,4,Ne,Nse,31
1,Ns,Nsw,Nw,Nnw,Nn,5,Ne,Nse,31
#EN
0,Ns,Nsw,Nw,Nnw,Nn,Nne,6,Nse,8
0,Ns,Nsw,Nw,Nnw,Nn,Nne,7,Nse,8
1,Ns,Nsw,Nw,Nnw,Nn,Nne,6,Nse,9
1,Ns,Nsw,Nw,Nnw,Nn,Nne,7,Nse,9
0,Ns,Nsw,Nw,Nnw,Nn,8,Ne,Nse,10
0,Ns,Nsw,Nw,Nnw,Nn,9,Ne,Nse,10
1,Ns,Nsw,Nw,Nnw,Nn,8,Ne,Nse,3
1,Ns,Nsw,Nw,Nnw,Nn,9,Ne,Nse,3
#ES
0,Ns,Nsw,Nw,Nnw,Nn,Nne,10,Nse,12
0,Ns,Nsw,Nw,Nnw,Nn,Nne,11,Nse,12
1,Ns,Nsw,Nw,Nnw,Nn,Nne,10,Nse,13
1,Ns,Nsw,Nw,Nnw,Nn,Nne,11,Nse,13
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,12,14
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,13,14
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,12,7
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,13,7
#SE
0,14,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,16
0,15,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,16
1,14,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,17
1,15,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,17
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,16,18
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,17,18
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,16,11
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,17,11
#SW
0,18,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,20
0,19,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,20
1,18,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,21
1,19,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,21
0,Ns,20,Nw,Nnw,Nn,Nne,Ne,Nse,22
0,Ns,21,Nw,Nnw,Nn,Nne,Ne,Nse,22
1,Ns,20,Nw,Nnw,Nn,Nne,Ne,Nse,15
1,Ns,21,Nw,Nnw,Nn,Nne,Ne,Nse,15
#WS
0,Ns,Nsw,22,Nnw,Nn,Nne,Ne,Nse,24
0,Ns,Nsw,23,Nnw,Nn,Nne,Ne,Nse,24
1,Ns,Nsw,22,Nnw,Nn,Nne,Ne,Nse,25
1,Ns,Nsw,23,Nnw,Nn,Nne,Ne,Nse,25
0,Ns,24,Nw,Nnw,Nn,Nne,Ne,Nse,26
0,Ns,25,Nw,Nnw,Nn,Nne,Ne,Nse,26
1,Ns,24,Nw,Nnw,Nn,Nne,Ne,Nse,19
1,Ns,25,Nw,Nnw,Nn,Nne,Ne,Nse,19
#WN
0,Ns,Nsw,26,Nnw,Nn,Nne,Ne,Nse,28
0,Ns,Nsw,27,Nnw,Nn,Nne,Ne,Nse,28
1,Ns,Nsw,26,Nnw,Nn,Nne,Ne,Nse,29
1,Ns,Nsw,27,Nnw,Nn,Nne,Ne,Nse,29
0,Ns,Nsw,Nw,28,Nn,Nne,Ne,Nse,30
0,Ns,Nsw,Nw,29,Nn,Nne,Ne,Nse,30
1,Ns,Nsw,Nw,28,Nn,Nne,Ne,Nse,23
1,Ns,Nsw,Nw,29,Nn,Nne,Ne,Nse,23
#NW
0,Ns,Nsw,Nw,Nnw,30,Nne,Ne,Nse,32
0,Ns,Nsw,Nw,Nnw,31,Nne,Ne,Nse,32
1,Ns,Nsw,Nw,Nnw,30,Nne,Ne,Nse,33
1,Ns,Nsw,Nw,Nnw,31,Nne,Ne,Nse,33
0,Ns,Nsw,Nw,32,Nn,Nne,Ne,Nse,2
0,Ns,Nsw,Nw,33,Nn,Nne,Ne,Nse,2
1,Ns,Nsw,Nw,32,Nn,Nne,Ne,Nse,27
1,Ns,Nsw,Nw,33,Nn,Nne,Ne,Nse,27
#
ant0,a1,a2,a3,a4,a5,a6,a7,a8,0
ant1,a1,a2,a3,a4,a5,a6,a7,a8,1

re-burnable fuse

Code: Select all

x = 2, y = 23, rule = k-antR1
.A4$.A4$.A4$.A4$.A4$.A2$B!
@RULE k-antR1
@COLORS
1 255 255 255
@NAMES
0 Empty
1 On
2 NE0
3 NE1
4 NEd0
5 NEd1
6 EN0
7 EN1
8 ENd0
9 ENd1
10 ES0
11 ES1
12 ESd0
13 ESd1
14 SE0
15 SE1
16 SEd0
17 SEd1
18 SW0
19 SW1
20 SWd0
21 SWd1
22 WS0
23 WS1
24 WSd0
25 WSd1
26 WN0
27 WN1
28 WNd0
29 WNd1
30 NW0
31 NW1
32 NWd0
33 NWd1
@TABLE
n_states:34
neighborhood:Moore
symmetries:none
var a1={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var B={0,1}
var n={2,3,30,31}
var e={6,7,10,11}
var s={14,15,18,19}
var w={22,23,26,27}
var ne={4,5,8,9}
var se={12,13,15,16}
var sw={20,21,24,25}
var nw={28,29,32,33}
var Nn={B,e,s,w}
var Ne={B,n,s,w}
var Ns={B,n,w,e}
var Nw={B,n,e,s}
var Nne={B,se,sw,nw}
var Nse={B,ne,sw,nw}
var Nsw={B,ne,se,nw}
var Nnw={B,ne,se,sw}
var ant={2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34}
var ant0={3,4,7,8,11,12,15,16,19,20,23,24,27,28,32,31}
var ant1={2,5,6,9,10,13,14,17,18,21,22,25,26,29,30,33}
#0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,
#NE
0,Ns,Nsw,Nw,Nnw,2,Nne,Ne,Nse,4
0,Ns,Nsw,Nw,Nnw,3,Nne,Ne,Nse,4
1,Ns,Nsw,Nw,Nnw,2,Nne,Ne,Nse,5
1,Ns,Nsw,Nw,Nnw,3,Nne,Ne,Nse,5
0,Ns,Nsw,Nw,Nnw,Nn,4,Ne,Nse,6
0,Ns,Nsw,Nw,Nnw,Nn,5,Ne,Nse,6
1,Ns,Nsw,Nw,Nnw,Nn,4,Ne,Nse,31
1,Ns,Nsw,Nw,Nnw,Nn,5,Ne,Nse,31
#EN
0,Ns,Nsw,Nw,Nnw,Nn,Nne,6,Nse,8
0,Ns,Nsw,Nw,Nnw,Nn,Nne,7,Nse,8
1,Ns,Nsw,Nw,Nnw,Nn,Nne,6,Nse,9
1,Ns,Nsw,Nw,Nnw,Nn,Nne,7,Nse,9
0,Ns,Nsw,Nw,Nnw,Nn,8,Ne,Nse,10
0,Ns,Nsw,Nw,Nnw,Nn,9,Ne,Nse,10
1,Ns,Nsw,Nw,Nnw,Nn,8,Ne,Nse,3
1,Ns,Nsw,Nw,Nnw,Nn,9,Ne,Nse,3
#ES
0,Ns,Nsw,Nw,Nnw,Nn,Nne,10,Nse,12
0,Ns,Nsw,Nw,Nnw,Nn,Nne,11,Nse,12
1,Ns,Nsw,Nw,Nnw,Nn,Nne,10,Nse,13
1,Ns,Nsw,Nw,Nnw,Nn,Nne,11,Nse,13
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,12,14
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,13,14
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,12,7
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,13,7
#SE
0,14,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,16
0,15,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,16
1,14,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,17
1,15,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,17
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,16,18
0,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,17,18
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,16,11
1,Ns,Nsw,Nw,Nnw,Nn,Nne,Ne,17,11
#SW
0,18,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,20
0,19,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,20
1,18,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,21
1,19,Nsw,Nw,Nnw,Nn,Nne,Ne,Nse,21
0,Ns,20,Nw,Nnw,Nn,Nne,Ne,Nse,22
0,Ns,21,Nw,Nnw,Nn,Nne,Ne,Nse,22
1,Ns,20,Nw,Nnw,Nn,Nne,Ne,Nse,15
1,Ns,21,Nw,Nnw,Nn,Nne,Ne,Nse,15
#WS
0,Ns,Nsw,22,Nnw,Nn,Nne,Ne,Nse,24
0,Ns,Nsw,23,Nnw,Nn,Nne,Ne,Nse,24
1,Ns,Nsw,22,Nnw,Nn,Nne,Ne,Nse,25
1,Ns,Nsw,23,Nnw,Nn,Nne,Ne,Nse,25
0,Ns,24,Nw,Nnw,Nn,Nne,Ne,Nse,26
0,Ns,25,Nw,Nnw,Nn,Nne,Ne,Nse,26
1,Ns,24,Nw,Nnw,Nn,Nne,Ne,Nse,19
1,Ns,25,Nw,Nnw,Nn,Nne,Ne,Nse,19
#WN
0,Ns,Nsw,26,Nnw,Nn,Nne,Ne,Nse,28
0,Ns,Nsw,27,Nnw,Nn,Nne,Ne,Nse,28
1,Ns,Nsw,26,Nnw,Nn,Nne,Ne,Nse,29
1,Ns,Nsw,27,Nnw,Nn,Nne,Ne,Nse,29
0,Ns,Nsw,Nw,28,Nn,Nne,Ne,Nse,30
0,Ns,Nsw,Nw,29,Nn,Nne,Ne,Nse,30
1,Ns,Nsw,Nw,28,Nn,Nne,Ne,Nse,23
1,Ns,Nsw,Nw,29,Nn,Nne,Ne,Nse,23
#NW
0,Ns,Nsw,Nw,Nnw,30,Nne,Ne,Nse,32
0,Ns,Nsw,Nw,Nnw,31,Nne,Ne,Nse,32
1,Ns,Nsw,Nw,Nnw,30,Nne,Ne,Nse,33
1,Ns,Nsw,Nw,Nnw,31,Nne,Ne,Nse,33
0,Ns,Nsw,Nw,32,Nn,Nne,Ne,Nse,2
0,Ns,Nsw,Nw,33,Nn,Nne,Ne,Nse,2
1,Ns,Nsw,Nw,32,Nn,Nne,Ne,Nse,27
1,Ns,Nsw,Nw,33,Nn,Nne,Ne,Nse,27
#
ant0,a1,a2,a3,a4,a5,a6,a7,a8,0
ant1,a1,a2,a3,a4,a5,a6,a7,a8,1

Citation needed · Post by **Citation needed** » March 25th, 2025, 6:23 pm

Are there any other versions for this rule?

Code: Select all

x = 42, y = 59, rule = KnightwiseWilfred1
31.2E$31.2E13$25.E$24.E2.E$26.E$26.E$26.E$26.E$26.E$26.E$26.E$26.E$15.
E10.E$14.E9.E$13.E2.8E2.E$15.E8.E$15.E10.E$15.E10.E$15.E10.E$15.E10.E
$15.E10.E$15.E10.E$15.E10.E$15.E10.E$15.E7.E2.E$13.E9.E2.E$.DA11.E9.E
$13E11$31.E$32.10E$32.E$32.E$32.E$32.E$32.E$32.E$32.E!
@RULE KnightwiseWilfred1
@COLORS
0   0   0   0
1   0 255   0
2 255 255   0
3 255   0   0
4 255 255 255
5 0 204 238
6 170 170 170
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate8reflect
var a = {0,1,2,3,4,5,6}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
var l = {1,2,3}
var ax={0,4,6}
var bx=ax
var cx=ax
var dx=ax
var ex=ax
var ay={0,1,2,3,4,6}
var by=ay
var cy=ay
var dy=ay
var ey=ay
var at={0,1,2,3,4,5}
var bt=at
var ct=at
var dt=at
var et=at
var ft=at
0,5,5,5,l,bx,cx,dx,ex,l
0,5,5,5,ax,l,cx,dx,ex,l
0,5,5,5,ax,bx,l,dx,ex,l
0,5,5,l,5,bx,cx,dx,ex,l
0,5,5,ax,5,l,bx,cx,dx,l
0,5,5,ax,5,bx,l,cx,dx,l
0,5,5,ax,5,bx,cx,l,dx,l
0,5,5,ax,5,bx,cx,dx,l,l
0,5,5,l,bx,5,cx,dx,ex,l
0,5,5,ax,l,5,cx,dx,ex,l
0,5,5,ax,bx,5,l,dx,ex,l
0,5,5,ax,bx,5,cx,l,ex,l
0,5,5,ax,bx,5,cx,dx,l,l
0,5,l,5,bx,5,cx,dx,ex,l
0,5,ax,5,bx,5,l,dx,ex,l
0,5,ax,5,bx,5,cx,l,ex,l
0,5,l,5,bx,cx,5,dx,ex,l
0,5,ax,5,l,cx,5,dx,ex,l
0,5,ax,5,bx,l,5,dx,ex,l
l,5,5,5,ay,by,cy,dy,ey,4
l,5,5,ay,5,by,cy,dy,ey,4
l,5,5,ay,by,5,cy,dy,ey,4
l,5,ay,5,by,5,cy,dy,ey,4
l,5,ay,5,by,cy,5,dy,ey,4
4,5,l,a,5,b,c,d,e,4
0,5,l,4,a,b,c,d,e,0
0,5,a,l,4,4,a,b,c,0
0,4,5,l,l,a,b,c,d,0
0,5,4,l,l,a,b,c,d,0
0,5,5,l,l,a,b,c,d,0
0,4,4,1,1,a,b,c,d,0
0,4,4,2,2,a,b,c,d,0
0,4,4,3,3,a,b,c,d,0
0,1,1,at,bt,ct,dt,et,ft,2
1,1,a,4,b,c,d,e,f,4
4,1,1,a,b,c,d,e,f,4
0,2,4,at,bt,ct,dt,et,ft,3
0,3,4,at,bt,ct,dt,et,ft,1
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,4
3,a,b,c,d,e,f,g,h,4
4,a,b,c,d,e,f,g,h,0

Disaster16439 · Post by **Disaster16439** » March 26th, 2025, 8:03 am

The critter, a 2c/6 spaceship:

Code: Select all

x = 3, y = 5, rule = B2i3-ky/S23-ky4q
o$2o$2bo$2o$o!

Btw can somebody find another name for this spaceship because I think something else is named “critter”
Anyways, a p3, p10, p21:

Code: Select all

x = 34, y = 5, rule = B2i3-ky/S23-ky4q
3b2o$3b2o$bo12b5o8b2o2b2o$obo23bo2b2o2bo$bo12b5o8b2o2b2o!

Some other spashships:

Code: Select all

x = 20, y = 185, rule = B2i3-ky/S23-ky4q
3bo$2bob2o$4b2o$4b2o4$2b3o$4bo$3bo9$bobo$2b4o$bo3b2o$4bo$6bo$4bobo$7bo
$7bo$4bobo$6bo$4bo$bo3b2o$2b4o$bobo7$bob2o$5bobo$3bobo2bo$3o5b2o$9bo$
3o5b2o$3bobo2bo$5bobo$bob2o49$14bo$14b2o$13b5o$11bo6bo$12b2o2bo2bo$9bo
2b2o4bo$4b2ob3o6bo$4b3ob2o5bo2bo$5bobo6b5o$13b2o$13b2o$5bobo6b5o$4b3ob
2o5bo2bo$4b2ob3o6bo$9bo2b2o4bo$12b2o2bo2bo$11bo6bo$13b5o$14b2o$14bo6$
13b2o$5bo7b2o$2bobo2bo2b2o$b3o6b3ob2o$b2ob2ob2obo5bo$14b2o$11bo2b2o$
14bo$11bo2b2o$14b2o$b2ob2ob2obo5bo$b3o6b3ob2o$2bobo2bo2b2o$5bo7b2o$13b
2o7$10b2o$10b2o$7b2o$7b3ob2o$7bo5bo$11b2o$8bo2b2o$11bo$8bo2b2o$11b2o$
7bo5bo$7b3ob2o$7b2o$10b2o$10b2o7$14b2o$6bo7b2o$5bo2bo2b2o$11b3ob2o$5b
2ob2obo5bo$15b2o$12bo2b2o$15bo$12bo2b2o$15b2o$5b2ob2obo5bo$11b3ob2o$5b
o2bo2b2o$6bo7b2o$14b2o6$5b3o$8bo$5b3o!

apg is probably slow, but at least 16x16 seems ok. The rule is borderline stable, but still, many 2g collisions last more than 500 generations. One that lasts 3465:

Code: Select all

x = 7, y = 10, rule = B2i3-ky/S23-ky4q
bo$2bo$3o5$4b3o$6bo$5bo!

Ok so by now this is turning into a MDIOCA post but some oscs in other rules:
p31:

Code: Select all

x = 6, y = 1, rule = B2i3-ky5y/S23-ky4q
6o!

p160:

Code: Select all

x = 4, y = 4, rule = B3/S2-i34q
bo$3o$o2bo$b2o!

p21:

Code: Select all

x = 3, y = 9, rule = B2i3/S2-i34q
bo$obo$obo$bo2$bo$obo$obo$bo!

My 208th Post!
208=2^4x13

confocaloid · Post by **confocaloid** » March 26th, 2025, 10:09 am

Disaster16439 wrote: ↑
March 26th, 2025, 8:03 am
[...] Ok so by now this is turning into a MDIOCA post [...]

The p160 mod-40 statorless rotating oscillator is known (tlife).

The oscillator labelled " p21: " is actually a period-24 oscillator, and its evolutionary sequence can be captured using a range-3 weighted neighbourhood:

Code: Select all

x = 19, y = 12, rule = R3,C0,S11-19,30-39,50-59,75-79,135-144,155-164,175-184,200-204,260-269,280-289,300-309,325-329,385-394,405-414,425-434,436,450-454,511-512,514-519,530-539,550-559,575-579,635-637,639-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,1135-1144,1155-1164,1175-1184,1200-1204,1260-1269,1280-1289,1300-1309,1325-1329,1385-1394,1405-1414,1425-1434,1450-1454,1510-1519,1530-1539,1550-1559,1575-1579,B15-19,35-39,55-59,75-79,140-144,160-164,180-184,200-204,260,265-269,285-289,305-309,325-329,385,390-394,410-414,430-434,450-454,510-511,515-519,535-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1539,1555-1559,1575-1579,NW7D00000000007D00007D017D0000007D1905197D0000010500050100007D1905197D0000007D017D00007D00000000007D
17bo$18bo$16b3o$bo$obo$obo$bo2$bo$obo$obo$bo!

Disaster16439 wrote: ↑
March 26th, 2025, 8:03 am
B2i3-ky/S23-ky4q

Initial population = 6 alive cells, population sequence eventually enters the cycle (588, 590, 604, 602, 600, 594):

Code: Select all

x = 4, y = 3, rule = B2i3-ky/S23-ky4q
2o$b2o$2b2o!

unname4798 · Post by **unname4798** » March 26th, 2025, 10:32 am

Code: Select all

#R R2,C2,S2,6,B6,7,NW0050000100510150010000500
3obo!

Factorio in R2 Cross HRLT

confocaloid · Post by **confocaloid** » March 26th, 2025, 10:58 am

unname4798 wrote: ↑
March 26th, 2025, 10:32 am
Code: Select all
#R R2,C2,S2,6,B6,7,NW0050000100510150010000500
3obo!
Factorio in R2 Cross HRLT

CAN HAS KNIGHTSHIP?
VISIBLE "this pattern shows a period-3 (2,1)c/3 knightship"

Code: Select all

x = 47, y = 37, rule = R2,C0,S2,6,B6-8,NW0050000100510150010000500
17bo$18bo$18b2o$19bo$18bo13$46bo$44bo$46bo17$ob3o!

OBTW
I tweaked the rules by adding a single birth condition (namely B8), and got a knightship.

The p1 c/1 spaceship and the p3 (2,1)c/3 knightship are preserved in 2^33 cellular automata with the same weighted neighbourhood:
- optional birth conditions (15): 3-4, 9, 13-24
- optional survival conditions (18): 3-4, 8-10, 12-24

The p3 (2,1)c/3 knightship is preserved in 2^35 cellular automata with the same weighted neighbourhood:
- optional birth conditions (15): 3-4, 9, 13-24
- optional survival conditions (20): 3-4, 6, 8-24

The p1 c/1 spaceship is preserved in 2^41 cellular automata with the same weighted neighbourhood:
- optional birth conditions (20): 2-4, 8-24
- optional survival conditions (21): 0-1, 3-4, 7-10, 12-24

It's worth noting that the p1 c/1 spaceship can be found in the "two cellstates, range-2 cross neighbourhood, outer-totalistic rules" space, but the soups go kaboom:

Code: Select all

x = 5, y = 1, rule = R2,C0,S2,B2-3,N+
ob3o!

TLDR
KTHXBYE

Disaster16439 · Post by **Disaster16439** » March 26th, 2025, 8:02 pm

confocaloid wrote: ↑
March 26th, 2025, 10:09 am

The p160 mod-40 statorless rotating oscillator is known (tlife).

The oscillator labelled " p21: " is actually a period-24 oscillator, and its evolutionary sequence can be captured using a range-3 weighted neighbourhood etc etc etc
Disaster16439 wrote: ↑
March 26th, 2025, 8:03 am
B2i3-ky/S23-ky4q
Initial population = 6 alive cells, population sequence eventually enters the cycle (588, 590, 604, 602, 600, 594):
Code: Select all
x = 4, y = 3, rule = B2i3-ky/S23-ky4q
2o$b2o$2b2o!

It seems like my mind wasn’t working yesterday, I also thought for a moment that the 2c/6 was actually a 2c/5. A small 6765M:

Code: Select all

x = 4, y = 4, rule = B2i3-ky/S23-ky4q
2o$o$b2o$2b2o!

A big 7744M:

Code: Select all

x = 20, y = 11, rule = B2i3-ky/S23-ky4q
18b2o$19bo3$4ob2o$3bo$2bob2o$6bo$2bo$b2o$b2o2bo!

And finally, a 9173M:

Code: Select all

x = 6, y = 7, rule = B2i3-ky/S23-ky4q
bo$3bobo$bo$2ob3o$o$2b2o$2bo!

My best diehard, a DH114:

Code: Select all

x = 25, y = 10, rule = B2i3-ky/S23-ky4q
23b2o$23b2o2$4ob2o$3bo$2bob2o$6bo$2bo$b2o$b2o2bo!

I did feel like the p160 was known, but posted it just in case.

Edit 1:
15800M:

Code: Select all

 x = 6, y = 5, rule = B2i3-ky/S23-ky4q
o3bo$4obo$3o2$3bo!

DH239:

Code: Select all

 x = 14, y = 26, rule = B2i3-ky/S23-ky4q
2o$2o16$7bo$7b2o2bobo$9bo3bo$7bob2o2bo$8bo4bo$7b3o2b2o$8b3ob2o$8bobobo
$7bo3bo!

My 209th post!
209=11x19

dl-rs · Post by **dl-rs** » March 29th, 2025, 8:02 am

An interesting rule indeed @above.
Note: A c/3 that somehow escaped you:

Code: Select all

x = 12, y = 13, rule = B2i3-ky/S23-ky4q
4bo3b2o$bobo2b4o$b2o3bo3bo$b3o2bobobo$2bo7bo$2b8o2$2b8o$2bo7bo$b3o2bo
bobo$b2o3bo3bo$bobo2b4o$4bo3b2o!

A few very small c/2:

Code: Select all

x = 10, y = 53, rule = B2i3-ky/S23-ky4q
5bo$3b2ob2o$3b2ob2o$3bo3bo$2b2o3b2o4$5bo$3b2ob2o$3b2ob2o$3bo3bo$2b2o3b
2o$2bo5bo$bobo3bobo$2bo5bo$b4ob4o$3b2ob2o4$5bo$3b2ob2o$3b2ob2o$3bo3bo
$2b2o3b2o$2bo5bo$bobo3bobo4$4bo$2b2ob2o$2b2ob2o$2bo3bo$b2o3b2o$bo$obo
$bo$4o$2bobo$4bo$3bo4$4bo$2b2ob2o$2b2ob2o$2bo3bo$b2o3b2o$bo$obo!

A c/4:

Code: Select all

x = 20, y = 28, rule = B2i3-ky/S23-ky4q
4b3o6b3o$2b2ob3o4b3ob2o$2b2o4bo2bo4b2o$4bo10bo$2bo2bo8bo2bo$2bo4b2o2b
2o4bo$7b2o2b2o$4b2obo4bob2o$3b2o2b2o2b2o2b2o$2bo4b2o2b2o4bo$bo5bo4bo5b
o2$b3o5b2o5b3o$7b2o2b2o2$4bobo6bobo$2b4obo4bob4o$7b2o2b2o$5bo3b2o3bo$
2b2o4bo2bo4b2o$4bo10bo$6b2o4b2o$2bo14bo$7o6b7o$7bo4bo$3b2o3bo2bo3b2o$
2o16b2o$2bo3b3o2b3o3bo!

dl-rs · Post by **dl-rs** » March 30th, 2025, 4:54 am

A new rule of mine: CircuitWorld, an 11 state rule which merges Brian's brain with WireWorld.
Here's an example:

Code: Select all

x = 49, y = 25, rule = CircuitWorld
14.J$.3CA27.2C8.2C$C4.BA8CHD7.FBA6C.CBA5C.6C$.4C6.C2.DHD7.F7.2C8.2C$
11.C2.J$11.C$11.C$11.B$11.A2.J$11.C$11.4CH3.ED8.ED4.F$15.H3.ED3.12C$
14.J2.ED12.J3.C$35.C$35.B$35.A$35.C$35.C$35.C$35.C$35.C$35.C$35.C$35.
C$35.B!
@RULE CircuitWorld

A combination of WireWorld and Brian's Brain.

@TABLE

n_states:11
neighborhood:Moore
symmetries:permute
var a={0,1,2,3,4,5,6,7,8,9}
var b={0,1,2,3,4,5,6,7,8,9}
var c={0,1,2,3,4,5,6,7,8,9}
var d={0,1,2,3,4,5,6,7,8,9}
var e={0,1,2,3,4,5,6,7,8,9}
var f={0,1,2,3,4,5,6,7,8,9}
var g={0,1,2,3,4,5,6,7,8,9}
var h={0,1,2,3,4,5,6,7,8,9}
var i={0,2,3,4,5,6,8,9}
var j={0,2,3,4,5,6,8,9}
var k={0,2,3,4,5,6,8,9}
var l={0,2,3,4,5,6,8,9}
var m={0,2,3,4,5,6,8,9}
var n={0,2,3,4,5,6,8,9}
var o={1,7}
var p={4,9}
var q={4,9}
var r={0,1,2,3,5,6,7,8,10}
var s={0,1,2,3,5,6,7,8,10}
var t={0,1,2,3,5,6,7,8}
var u={0,1,2,3,5,6,7,8}
var v={0,1,2,3,5,6,7,8}
var w={0,1,2,3,5,6,7,8}
var x={0,1,2,3,6,7,9}
var y={0,1,2,3,6,7,9}
var z={0,1,2,3,6,7,9}
var aa={1,2,3,6,7,9}
var ba={1,2,3,6,7,9}
var ca={1,2,3,6,7,9}
var da={0,1,2,3,4,5,6,7,8,9,10}
var ea={0,1,2,3,4,5,6,7,8,9,10}
var fa={0,1,2,3,4,5,6,7,8,9,10}
var ga={0,1,2,3,4,5,6,7,8,9,10}
var ha={0,1,2,3,4,5,6,7,8,9,10}
var ia={0,1,2,3,4,5,6,7,8,9,10}
var ja={0,1,2,3,4,5,6,7,8,9,10}
var ka={0,1,2,3,4,5,6,7,8,9,10}
1,a,b,c,d,e,f,g,h,2
2,a,b,c,d,e,f,g,h,3
3,i,j,k,l,m,n,a,o,1
0,p,r,s,t,u,v,w,9,4
0,4,r,s,t,u,v,w,4,4
0,p,a,x,y,z,aa,ba,ca,4
4,a,b,c,d,e,f,g,h,5
5,a,b,c,d,e,f,g,h,0
6,p,da,ea,fa,ga,ha,ia,ja,7
7,da,ea,fa,ga,ha,ia,ja,ka,6
8,i,j,k,l,m,n,da,o,9
9,da,ea,fa,ga,ha,ia,ja,ka,8
4,10,a,b,c,d,e,f,g,0
5,10,a,b,c,d,e,f,g,0

@NAMES

0 empty
1 electron head
2 electron tail
3 copper wire
4 brain alive
5 brain dying
6 inlet off
7 inlet on
8 outlet off
9 outlet on
10 eater

@COLORS

0 255 255 255
1   0 128 255
2 255   0   0
3 255 153  51
4   0   0   0
5 128 128 128
6 204 255 204
7   0 255   0
8 229 204 255
9 127 0 255
10 199 97 20

Using only WireWorld or brain would be Okay, but if you merge them, brain tends to become more explosive because I've added bits of the rule to enable brain cells to travel on wire.

wirehead · Post by **wirehead** » March 30th, 2025, 12:44 pm

dl-rs wrote: ↑
March 30th, 2025, 4:54 am
A new rule of mine: CircuitWorld, an 11 state rule which merges Brian's brain with WireWorld.

I did something similar a few years back with fewer states: the rule WiredBrain. It's what’s used in my profile picture :-

wirehead wrote: ↑
November 5th, 2022, 9:09 pm

islptng · Post by **islptng** » March 31st, 2025, 5:01 am

TPedestrianHighPseudoBasiKnight?

Code: Select all

#R B2e3air4ijwz5678/S12-in3k4qr5i8
! [[ RANDOMIZE ]]

It's explosive, but a lot more interesting than the original. It has a common 2c/4o and a common c/4d (The old c/9d and 2c/4o don't work).

Common collision which produces a 43*54 68-bit P2 ash:

Code: Select all

x = 16, y = 11, rule = B2e3air4ijwz5678/S12-in3k4qr5i8
13bo$13b3o$13bobo$14bo5$bo$bo$2o!

confocaloid · Post by **confocaloid** » March 31st, 2025, 10:41 am

islptng wrote: ↑
March 31st, 2025, 5:01 am
TPedestrianHighPseudoBasiKnight? [...]

Here is something loosely related and defined using a fully-symmetric weighted neighbourhood:

Code: Select all

#C Two-state isotropic cellular automaton, weighted neighbourhood:
#C -- 7D -- -- -- 7D --
#C 7D 7D 7D 01 7D 7D 7D
#C -- 7D 05 19 05 7D --
#C -- 01 19 -- 19 01 --
#C -- 7D 05 19 05 7D --
#C 7D 7D 7D 01 7D 7D 7D
#C -- 7D -- -- -- 7D --
x = 45, y = 36, rule = R3,C0,S10-19,30-39,50-54,56-59,75-79,125,131,135-144,150-151,155-164,175-181,183-184,200-204,210,250,255,260-269,275,280-289,300-305,307-309,325-329,331,375,385-394,400,405-414,425-429,431-434,450-454,500,510-519,530-539,550-554,556-559,575-579,625,635-644,655-664,675-684,700-704,760-769,780-789,800-809,825-829,885-894,905-914,925-934,950-954,1010-1019,1030-1039,1050-1059,1075-1079,1135-1144,1155-1164,1175-1184,1200-1204,1260-1269,1280-1289,1300-1309,1325-1329,1385-1394,1405-1414,1425-1434,1450-1454,1510-1519,1530-1539,1550-1559,1575-1579,1635-1644,1655-1664,1675-1684,1700-1704,1760-1769,1780-1789,1800-1809,1825-1829,1885-1894,1905-1914,1925-1934,1950-1954,2010-2019,2030-2039,2050-2059,2075-2079,2135-2144,2155-2164,2175-2184,2200-2204,2260-2269,2280-2289,2300-2309,2325-2329,2385-2394,2405-2414,2425-2434,2450-2454,2510-2519,2530-2539,2550-2559,2575-2579,B15-19,35,37-39,56,58-59,61,75-80,140-144,160-164,176,180-184,200-204,265-269,285-289,300,305-309,325-329,390-394,410-414,430-434,450-454,515-519,535,537-539,555-559,575-579,640-644,660-664,680-684,700-704,765-769,785-789,805-809,825-829,890-894,910-914,930-934,950-954,1015-1019,1035-1039,1055-1059,1075-1079,1140-1144,1160-1164,1180-1184,1200-1204,1265-1269,1285-1289,1305-1309,1325-1329,1390-1394,1410-1414,1430-1434,1450-1454,1515-1519,1535-1539,1555-1559,1575-1579,1640-1644,1660-1664,1680-1684,1700-1704,1765-1769,1785-1789,1805-1809,1825-1829,1890-1894,1910-1914,1930-1934,1950-1954,2015-2019,2035-2039,2055-2059,2075-2079,2140-2144,2160-2164,2180-2184,2200-2204,2265-2269,2285-2289,2305-2309,2325-2329,2390-2394,2410-2414,2430-2434,2450-2454,2515-2519,2535-2539,2555-2559,2575-2579,NW007D0000007D007D7D7D017D7D7D007D0519057D0000011900190100007D0519057D007D7D7D017D7D7D007D0000007D00
14bo2$15bo5$17bo2$16bo5bo$24bo$15bo2$14bo$24bo$13bo$25bo$12bo2$11bo2$
10bo2$9bo2$8bo2$7bo2$3o3bo$2bo$5bo36b3o$42bobo$4bo37bobo2$3bo!

What formerly was a knightship, now becomes instead more of a wire pulse (except I didn't show and I don't currently have an injector device and a receiver device; that would be needed to actually use it as a wire).

It is impossible to "capture" the knightship on its own unchanged using a fully-symmetric weighted neighbourhood: in each of the following two phases there is an alive cell (shown marked), that cell is in the same condition in both cases, but in one case the cell must survive and in the other case the cell must die. The common cell condition can be expressed as "The cell is currently alive, it has precisely three alive (1,0) neighbours, it has precisely two alive (1,1) neighbours, and it has precisely one alive (2,1) neighbour":

Code: Select all

x = 10, y = 4, rule = B2e3air4ijwz5678/S12-in3k4qr5i8History
7.A$ACA4.2A$3A5.CA$2.A5.2A!
#C [[ GRID ]]

Disaster16439 · Post by **Disaster16439** » April 1st, 2025, 5:30 am

A (13,10)c/107 puffer, which is a new 5s speed if corderized:

Code: Select all

x = 5, y = 5, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
b3o$bo2bo$o3bo$4bo$bobo!

Adding a block gives a different puffer:

Code: Select all

x = 10, y = 8, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
2o$2o2$6b3o$6bo2bo$5bo3bo$9bo$6bobo!

The star, which is why I call this rule Starry Night:

Code: Select all

x = 5, y = 5, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
2bo$bobo$o3bo$bobo$2bo!

While it is p4, it can be hassled into p5, p8, and p28 oscillators. Collection:

Code: Select all

x = 70, y = 95, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
10bo2$10bo$22b2o$10bo6b2o2bo2bo$17b2o3b2o$10bo2$10bo5$6bobobo2$10bo2$
6bobobo6b3o2$6bo2$6bobobo5$7bobobo2$11bo8b2o$20b2o$7bobobo$17b2o$11bo
5b2o2$7bobobo6$7bo3bo2$7bo3bo2$7bobobo10bo$21bobo$11bo8bo3bo$21bobo$
11bo10bo5$40b2o$7bobobo28b2o$26b2o$7bo14bo3b2o10bo$21bobo13bobo$7bobob
o8bo3bo11bo3bo$21bobo13bobo$11bo5b2o3bo10b2o3bo$17b2o14b2o$7bobobo28b
2o21bo$40b2o20b3o$63bo$53bo$36bo15bobo$35bobo13bo3bo9bo$7bobobo22bo3bo
13bobo10bo$35bobo15bo10b3o$7bo3bo11bo12bo28bo$22bobo26bo13bo$7bobobo9b
o3bo8bo16bo14bo$22bobo8bobo13b2ob2o13bo$7bo3bo6b2o3bo8bo3bo14bo15bo$
18b2o13bobo15bo13b2ob2o$7bobobo22bo32bo$67bo3$21bo$20b3o$obobo2bobobo
9bo$29bo$4bo2bo3bo16bobo$23bo3bo3bo$obobo2bobobo10bobo3bobo$17bo3bo3bo
3bo$o6bo3bo4bobo3bobo$15bo3bo3bo$obobo2bobobo4bobo$17bo$25bo$24b3o$25b
o!

Due to the extremely common phase shift mechanisms, putting stars together in different shapes may lead to results like the p28, but it commonly just turns into p8s, which are not notable at all in this rule. Just put a few blocks and stars together, and just get lucky, and you’ll get a new oscillator! Just now, I made a p36 which perfectly illustrates that:

Code: Select all

x = 39, y = 35, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
5$14bo$13bobo$12bo3bo$13bobo10b2o$14bo7bo3b2o$22bo2bo$16bo3b2ob2o$16bo
2bo2bo$14b2ob2o3bo$10bo2bo2bo$9b3o4bo$10bo$18bo$17bobo2$17b3o3$20b2o$
20b2o!

Unfortunately those oscillators are mostly trivial. However, that name is misleading, and they are still extremely interesting.

Here is a few guidelines that are important to follow for hunting for star-oscillators, from most important to least important.
1. Never let the objects interact in any way other than B2n.
2. When finding star-oscillators, never let the edge cell in the rotated square phase touch anything. It’s easier to just show:

Code: Select all

x = 55, y = 22, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cekSuper
7.D43.D$6.D43.D$.D3.D16.D3.D18.D3.D$2.D.D18.D.D20.D.D$3.D20.D22.D$23.
D.D$22.D3.D4$49.2A$49.2A2$25.2A25.A$25.2A24.A.A$29.A20.A3.A$2A26.A.A
20.A.A$2A3.A21.A3.A20.A$4.A.A21.A.A$3.A3.A21.A$4.A.A$5.A!

3. Blocks are end caps, not to be embedded in the oscillator:

Code: Select all

 x = 22, y = 27, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cekSuper
D3.D14.D$.D.D14.D$2.D10.D3.D$.D.D10.D.D$D3.D10.D6$14.2A$14.2A2$3.A13.
A$2.A.A11.A.A$.A3.A9.A3.A$2.A.A11.A.A$3.A13.A2$5.2A12.A$5.2A11.A.A$
17.A3.A$8.A9.A.A$7.A.A9.A$6.A3.A$7.A.A$8.A!

4. Stick to the grid; you will be more likely to find star-oscillators if you stick to the imaginary rotated square grid:

Code: Select all

x = 22, y = 20, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cekSuper
6.D6.D3.D$5.D8.D.D$D3.D10.D$.D.D10.D.D$2.D10.D3.D5$.2A$.2A10.2A$13.2A
3.A$4.A12.A.A$3.A.A10.A3.A$2.A3.A10.A.A$3.A.A12.A$4.A$20.2A$6.2A12.2A
$6.2A!

And that’s about it! Note that these rules are not necessary to follow; there may be exceptions, but it is always good to follow the rules. Happy hunting!

My 211th post!
211=211

ababa11e · Post by **ababa11e** » April 1st, 2025, 5:44 am

Disaster16439 wrote: ↑
April 1st, 2025, 5:30 am
A (13,10)c/107 puffer, which is a new 5s speed if corderized:
Code: Select all
x = 5, y = 5, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
b3o$bo2bo$o3bo$4bo$bobo!
Adding a block gives a different puffer:
Code: Select all
x = 10, y = 8, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
2o$2o2$6b3o$6bo2bo$5bo3bo$9bo$6bobo!
The star, which is why I call this rule Starry Night:
Code: Select all
x = 5, y = 5, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
2bo$bobo$o3bo$bobo$2bo!
While it is p4, it can be hassled into p5, p8, and p28 oscillators. Collection:
Code: Select all
x = 70, y = 95, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
10bo2$10bo$22b2o$10bo6b2o2bo2bo$17b2o3b2o$10bo2$10bo5$6bobobo2$10bo2$
6bobobo6b3o2$6bo2$6bobobo5$7bobobo2$11bo8b2o$20b2o$7bobobo$17b2o$11bo
5b2o2$7bobobo6$7bo3bo2$7bo3bo2$7bobobo10bo$21bobo$11bo8bo3bo$21bobo$
11bo10bo5$40b2o$7bobobo28b2o$26b2o$7bo14bo3b2o10bo$21bobo13bobo$7bobob
o8bo3bo11bo3bo$21bobo13bobo$11bo5b2o3bo10b2o3bo$17b2o14b2o$7bobobo28b
2o21bo$40b2o20b3o$63bo$53bo$36bo15bobo$35bobo13bo3bo9bo$7bobobo22bo3bo
13bobo10bo$35bobo15bo10b3o$7bo3bo11bo12bo28bo$22bobo26bo13bo$7bobobo9b
o3bo8bo16bo14bo$22bobo8bobo13b2ob2o13bo$7bo3bo6b2o3bo8bo3bo14bo15bo$
18b2o13bobo15bo13b2ob2o$7bobobo22bo32bo$67bo3$21bo$20b3o$obobo2bobobo
9bo$29bo$4bo2bo3bo16bobo$23bo3bo3bo$obobo2bobobo10bobo3bobo$17bo3bo3bo
3bo$o6bo3bo4bobo3bobo$15bo3bo3bo$obobo2bobobo4bobo$17bo$25bo$24b3o$25b
o!
Due to the extremely common phase shift mechanisms, putting stars together in different shapes may lead to results like the p28, but it commonly just turns into p8s, which are not notable at all in this rule. Just put a few blocks and stars together, and just get lucky, and you’ll get a new oscillator! Just now, I made a p36 which perfectly illustrates that:
Code: Select all
x = 39, y = 35, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
5$14bo$13bobo$12bo3bo$13bobo10b2o$14bo7bo3b2o$22bo2bo$16bo3b2ob2o$16bo
2bo2bo$14b2ob2o3bo$10bo2bo2bo$9b3o4bo$10bo$18bo$17bobo2$17b3o3$20b2o$
20b2o!
Unfortunately those oscillators are mostly trivial. However, that name is misleading, and they are still extremely interesting.

Here is a few guidelines that are important to follow for hunting for star-oscillators, from most important to least important.
1. Never let the objects interact in any way other than B2n.
2. When finding star-oscillators, never let the edge cell in the rotated square phase touch anything. It’s easier to just show:
Code: Select all
x = 55, y = 22, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cekSuper
7.D43.D$6.D43.D$.D3.D16.D3.D18.D3.D$2.D.D18.D.D20.D.D$3.D20.D22.D$23.
D.D$22.D3.D4$49.2A$49.2A2$25.2A25.A$25.2A24.A.A$29.A20.A3.A$2A26.A.A
20.A.A$2A3.A21.A3.A20.A$4.A.A21.A.A$3.A3.A21.A$4.A.A$5.A!
3. Blocks are end caps, not to be embedded in the oscillator:
Code: Select all
 x = 22, y = 27, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cekSuper
D3.D14.D$.D.D14.D$2.D10.D3.D$.D.D10.D.D$D3.D10.D6$14.2A$14.2A2$3.A13.
A$2.A.A11.A.A$.A3.A9.A3.A$2.A.A11.A.A$3.A13.A2$5.2A12.A$5.2A11.A.A$
17.A3.A$8.A9.A.A$7.A.A9.A$6.A3.A$7.A.A$8.A!
4. Stick to the grid; you will be more likely to find star-oscillators if you stick to the imaginary rotated square grid:
Code: Select all
x = 22, y = 20, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cekSuper
6.D6.D3.D$5.D8.D.D$D3.D10.D$.D.D10.D.D$2.D10.D3.D5$.2A$.2A10.2A$13.2A
3.A$4.A12.A.A$3.A.A10.A3.A$2.A3.A10.A.A$3.A.A12.A$4.A$20.2A$6.2A12.2A
$6.2A!
And that’s about it! Note that these rules are not necessary to follow; there may be exceptions, but it is always good to follow the rules. Happy hunting!

My 211th post!
211=211

1st puffer [probably very unoptimizedly] corderized in 5 engines.

Code: Select all

x = 131, y = 193, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
11b3o$11bo2bo$10bo3bo$14bo$11bobo4$2bo$b3o$2o2bo$bo2b2o$2b3o$3bo7$7bo
$6bobo$6bobo$7bo3$33b3o$33bo2bo$32bo3bo$36bo$33bobo4$16b2o$16b2o12$26b
2o$26b2o9$33bo$32b3o$33bo11$42b3o$42b3o$42b3o10$53bo$52bobo$51bo3bo$52b
obo$53bo9$78b3o$78bo2bo$77bo3bo$81bo$62b3o13bobo$62bobo$62b3o2$61b2o$
71bo$63bobo3b2o$62b2obo3b2o$63b3o4$62bo$61bobo9bo$60bo3bo7b3o$61bobo9b
o$62bo5$75b3o$75b3o$75b3o2$72bo$72bo$70b2ob2o$72bo$72bo4$86bo$85bobo$
84bo3bo$85bobo$86bo2$82bo$81b3o$82bo2$111b3o$111bo2bo$110bo3bo$96bo17b
o$96bo14bobo$94b2ob2o$96bo$96bo2$91b3o$91b3o$91b3o6$106bo$105b3o$106b
o2$102bo$101bobo$100bo3bo$101bobo$102bo2$110b2o$110b2o3$127b3o$127bo2b
o$126bo3bo$112bo17bo$112bo14bobo$110b2ob2o$112bo$112bo2$120b2o$120b2o
7$122bo$121b3o$122bo!

I'll begin work on the other one. (10,13)c/107 acheived.
Update I:
3-engine cordership.

Code: Select all

x = 55, y = 96, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
7b3o$7b2o$7bobo4$8bo2bo$9bobo$9b3o3$2o2$3o$3bobo$5bo$2bobob2o$2bo2bo$
4b2o$4bo$5b2o$4bo2bo$3b2o$3b4o$4bo3$3o$3o$obobo$b3o$b3o4$9bo$8bobo$7b
o3bo$8bobo$9bo2$5bo28b3o$4b3o27b2o$5bo28bobo4$35bo2bo$19bo16bobo$19bo
16b3o$17b2ob2o$19bo$19bo2$14b3o$14b3o$14b3o6$29bo$28b3o$29bo2$25bo$24b
obo$23bo3bo$24bobo$25bo2$33b2o15b3o$33b2o15b2o$50bobo4$51bo2bo$35bo16b
obo$35bo16b3o$33b2ob2o$35bo$35bo2$43b2o$43b2o7$45bo$44b3o$45bo!

Update II: 2 ENGINE!

Code: Select all

x = 35, y = 60, rule = B2n3-jkq4eirt5cekq6ik/S2-n3-c4eikty5cek
10bo$9b3o$9bo2bo$11b3o$12bo14$6bo$5bobo$4bo2$2bo6bo$bo$o11bo$bo11bo$12b
o$6bo4bo$6bo2bo$7b2o$6b2o$7bo$3b3obo$5bo$5bo2$13b2o$13b2o2$31bo$30b3o
$30bo2bo$32b3o$33bo$15bo$14b3o$15bo3$23b2o$23b2o7$24b3o$24b3o$24b3o!

PK22 · Post by **PK22** » April 1st, 2025, 1:21 pm

B36n7e/S2-i3 has a strange (9,7)c/152 spaceship, based on the wing. It appears to make copies of the active region, which get cleaned up by blocks:

Code: Select all

x = 37, y = 28, rule = B36n7e/S2-i3
26b3o$26bo2bo$9b2o18bo$9b2o16b2o4$33bobo$30bo3bobo$2o29bob3o$2o28b3o4$
8b3o$8bo2bo$9bobo$10bo2$33b2o$19b3o11b2o$18b2ob2o$18b2o3bo$20b3o$21bo
2$24b2o$24b2o!

A wing by itself evolves into a p608 gun for the spaceship. Sadly, this makes asymmetric soups almost impossible to apgsearch. (The gun always gets categorised as ZZ_LINEAR or ZZ_REPLICATOR):

Code: Select all

x = 4, y = 4, rule = B36n7e/S2-i3
2b2o$bobo$o2bo$b2o!

Soups with reflective symmetry are still possible to search, but I have not tried rotational symmetry yet.
There are some other linear growth patterns, found using apgsearch, including oblique puffers based on the (9,7)c/152 reaction, a c/2 block puffer, and a 14c/69 puffer with two backwards streams of Ts:

Code: Select all

x = 326, y = 101, rule = B36n7e/S2-i3
278b2o$278b2o6$287b2o$287b2o2$238b2o$238b2o$247b2o$58b2o38b2o147b2o$
57bo2bo36bo2bo195b2o$58b2o10b3o12b3o10b2o196b2o$70b3o12b3o$71bo14bo3$
290b2o$289bo2bo12b2o$255b2o33b2o13b2o$255b2o$283b2o$282bo2bo$283bo2bo$
58b2o38b2o184b2o$57bo2bo36bo2bo213b2o$58b2o38b2o152b2o60b2o$251bo2bo$
252b2o4$323b2o$136b2o185b2o$136b2o$274b2o$274b2o$2o9b2o270b2o$2o9b2o
45b2o38b2o183b2o$57bo2bo10bo14bo10bo2bo$58b2o10bobo12bobo10b2o45b2o
154bo$145b2o155b2o$b2o7b2o58b3o12b3o212bo2b2o$o11bo289bobo$3o7b3o287b
2o21b3o$300b2o20bo2bo$2b3o3b3o290b5o16bobo$2b2o5b2o143b2o146bobo18bo$
154b2o147bo$2ob2o3b2ob2o$4o5b4o299b3o$3b3ob3o301b2ob2o$3b3ob3o48b2o38b
2o199b2o9bo3b2o$b2o2bobo2b2o45bo2bo36bo2bo60bo137b2o10b3o$2b3o3b3o47b
2o38b2o59bo2bo149bo$3bo5bo153bo$158bo4b2o$157bo2b2o2bo$156bo5b3o$160bo
b2o$157b2ob2o2$71bo14bo72bo$70bobo12bobo70b2o$69b2ob2o10b2ob2o69bo7bo$
71bo14bo79b2o$158b3o6b2o$158b2o6bo$159bo5b2o$160bo3bo$161b2o16b2o$63bo
30bo84b2o$62b2o30b2o$61bo2bo13b2o13bo2bo79bo$62b2o9bo3bo2bo3bo9b2o79b
3o$70bo2b2o3b2o3b2o2bo85b2o3bo$69b2o2bo10bo2b2o84b2ob2o$69bo3bo10bo3bo
85b3o11b2o$69bobo14bobo99b2o$69b3o14b3o$165bo$164bobo$163bo2bo$163b3o
4$185b3o$186bob3o$185bo3bobo$188bobo4$164b2o16b2o$164b2o18bo$181bo2bo$
181b3o!

The house is a failed replicator, and it should be possible to stabilise it into a p160 oscillator (it takes 40 generations to produce 2 rotated copies of itself), since catalysts such as eater 1 still work, but I have yet to find a solution.
EDIT: Changed pi-heptomino to house, since by itself, the heptomino is a spark.

b-engine · Post by **b-engine** » April 1st, 2025, 8:27 pm

PK22 wrote: ↑
April 1st, 2025, 1:21 pm
The pi-heptomino is a failed replicator, and it should be possible to stabilise it into a p160 oscillator (it takes 40 generations to produce 2 rotated copies of itself), since catalysts such as eater 1 still work, but I have yet to find a solution.

A block could turn a house into two huge sparks, but unfortunately arranging them in a manner that it would produce an oscillator would result in a block accidentally hit by another spark:

Code: Select all

x = 33, y = 20, rule = B36n7e/S2-i3
18bo$2o15b3o$2o14b2ob2o3$31b2o$31b2o12$14b2o$14b2o!

pifricted · Post by **pifricted** » April 3rd, 2025, 6:45 am

In this rule, all n x n checkerborads are synthesizable:

Code: Select all

x = 80, y = 41, rule = B3-j4i6c/S1c2-e3-eq4cny5ey
55bo$54bobo$53bobo$52bobo$51bobo$50bobo$49bobo$48bobo$32b3o14bo$33bo16b
o10$73bo$72b3o5$6bo$6b2o$6bo16bo24bo19bo9bo$22bobo22bobo17bobo8b2o$21b
obo7bo14bobobo15bobobo7bo$22bo8b2o14bobo7bo9bobobo$31bo16bo8b2o9bobo$
57bo11bo3$3o$bo2$25b3o$26bo24b3o$52bo!

hth3 · Post by **hth3** » April 3rd, 2025, 8:19 am

CircuitWorld photon reflector:

Code: Select all

x = 11, y = 5, rule = CircuitWorld
.4C$C4.2C$9.DE$C8.DE$.6C!

Heisenburp:

Code: Select all

x = 8, y = 9, rule = CircuitWorld
.2C$6.DE$3.C2.DE$.2C$3.C2$.C.C$C2.C$C!

Which means another reflector:

Code: Select all

x = 8, y = 9, rule = CircuitWorld
.2C$C5.DE$3.C2.DE$.2C$3.C2$.C.C$C2.C$C!

b-engine · Post by **b-engine** » April 3rd, 2025, 9:13 am

dl-rs wrote: ↑
March 30th, 2025, 4:54 am
A new rule of mine: CircuitWorld, an 11 state rule which merges Brian's brain with WireWorld.

Why I feel this like something that existed back in 2013???

Anyway, this is a SMM breeder:

Code: Select all

x = 13, y = 5, rule = CircuitWorld
CBA8CH$C.A8.H$3C2$12.C!

Naszvadi · Post by **Naszvadi** » April 3rd, 2025, 9:15 am

PK22 wrote: ↑
April 1st, 2025, 1:21 pm
...
Soups with reflective symmetry are still possible to search, but I have not tried rotational symmetry yet.
There are some other linear growth patterns, found using apgsearch, including oblique puffers based on the (9,7)c/152 reaction, a c/2 block puffer, and a 14c/69 puffer with two backwards streams of Ts:
Code: Select all
rle
...

Corderized, speed is 14/69c orthogonal:

Code: Select all

#C [[ TRACK 14/69 0 ]]
x = 2007, y = 812, rule = B36n7e/S2-i3
1876bo13bo13bo13bo13bo13bo13bo$1875bobo11bobo11bobo11bobo11bobo11bobo
11bobo$1875bobo11bobo11bobo11bobo11bobo11bobo11bobo16b3o$1876bo13bo13b
o13bo13bo13bo13bo16bo3bo$1976bo$1977bo4bo$1978b2ob2o$1980bo$1870b2o$
1868bo2bo$1875bo111b2o$1865b3obo5bo108b2o$1865bob3o6bo110bobo$1820bobo
26bo15bob2o3bob2obo12bo26b2o26bobo26bo8bobo3b2o$1819bo2bo24b2o2bo13b2o
3bo3b2o13b2o26b3o24bo2bo24b2o2bo5b2o3bobo$1820bobo26bo17bo4b3o4b3o8bo
26b2o26bobo26bo8bobo$1878b2ob2o104b2o$1878bo3bo101b2o$1879bobo$1880bo$
1981bo$1980bobo$1980bobo$1798bo182bo$1797bo17bo64bo$1797b3o14bobo62bob
o$1813bo2b2o60bo3bo101b2o$1815bo62b2ob2o104b2o$1813bobo33bo17bo4b3o4b
3o8bo26b2o26bobo26bo8bobo$1812bobo32b2o2bo13b2o3bo3b2o13b2o26b3o24bo2b
o24b2o2bo5b2o3bobo$1812bob2o33bo15bob2o3bob2obo12bo26b2o26bobo26bo8bob
o3b2o$1814bo50bob3o6bo110bobo$1815bo49b3obo5bo108b2o$1875bo111b2o$
1868bo2bo$1831bo38b2o$1825b2o3bo5bo143bo$1815b2o8b2o2bo2b5ob3o137b2ob
2o$1448bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o6b
2obo10bo4bo4bo136bo4bo$1446b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o
24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o4bo3bo11b2o2b3ob2o135bo$1448bo
26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o5bo4b4o2b2o
8b3o37bo13bo13bo13bo13bo13bo13bo16bo3bo$1766bobo45bo11b2o9bo37bobo11bo
bo11bobo11bobo11bobo11bobo11bobo16b3o$1766b2o48b3o56bobo11bobo11bobo
11bobo11bobo11bobo11bobo$1767bo108bo13bo13bo13bo13bo13bo13bo2$1444b2o$
1445b2o$1444bo4$1816b3o$1814bo11b2o9bo53bo13bo13bo13bo13bo13bo13bo$
919bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo
26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo
26bo27bo26b2o5bo4b4o2b2o8b3o51bobo11bobo11bobo11bobo11bobo11bobo11bobo
$919b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b
2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24b
o2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o4bo3bo11b2o2b
3ob2o49bobo11bobo11bobo11bobo11bobo11bobo11bobo17b2o$919bo27bo26b2o26b
obo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bo
bo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o6b2ob
o10bo4bo4bo50bo13bo13bo13bo13bo13bo13bo15b2ob2o$1815b2o8b2o2bo2b5ob3o
149bobo2b2o$1825b2o3bo5bo154b2o3bo$1735bo95bo160bo$1735bobo$1735b2o
147bobo$1881b2o$1441b2o367b3o67b2o4bo114b3o$1440bobo368b2o67b2o3bo3b3o
107b2ob3o$1442bo366bo2bo74bo3bo106b2o3bobo$1809b3o4b3o16bo26b2o16bo6bo
b2o4bo9bo26bo27bo26b2o8bobo5b2o$1810b2o3bo2bo15b2o26b3o22bo2bo6bo5b2o
2bo24b3o24b2o26b3o6b2o5bobo$1812b2o21bo26b2o16bo6b3ob2o5bo6bo26bo27bo
26b2o8bobo3b2o$1816bo71bo2bo6bo99b3ob2o$1793b3o13bo4bo77b2obob2o100b3o
$921b2o871bo16b3o79bo3bo$921bobo970bobo$921bo973bo100bo$1995bobo$1995b
obo$1705bo189bo100bo$1703b2o189bobo$1704b2o187bo3bo$1892b2obob2o100b3o
$1438bo449bo2bo6bo99b3ob2o$1438b2o367bo27bo26b2o16bo6b3ob2o5bo6bo26bo
27bo26b2o8bobo3b2o$1437bobo367b3o24b2o26b3o22bo2bo6bo5b2o2bo24b3o24b2o
26b3o6b2o5bobo$1807bo27bo26b2o16bo6bob2o4bo9bo26bo27bo26b2o8bobo5b2o$
1887bo3bo106b2o3bobo$1880b2o3bo3b3o107b2ob3o$1880b2o4bo114b3o$1881b2o$
953bo930bobo$952b2o$952bobo1037bo$1991b2o3bo$1990bobo2b2o$1673bo217bo
13bo13bo13bo13bo13bo13bo15b2ob2o$1672bo217bobo11bobo11bobo11bobo11bobo
11bobo11bobo17b2o$1672b3o215bobo11bobo11bobo11bobo11bobo11bobo11bobo$
1891bo13bo13bo13bo13bo13bo13bo2$1434b3o$1436bo$1435bo4$745bo13bo13bo
13bo13bo13bo13bo$744bobo11bobo11bobo11bobo11bobo11bobo11bobo$744bobo
11bobo11bobo11bobo11bobo11bobo11bobo152b3o$745bo13bo13bo13bo13bo13bo
13bo153bo$848b2o134bo$848bobo$847bo2bo$849bo791bobo$848bo792b2o$742b2o
898bo$737bo2bo3b2o$726bobo7bobo5bo5b2o679b2o$725bo10bobobob4ob4obo87bo
14b2o575b2o$691bo26b2o4bobobo8bo3bo3bo7bo7bo26bo27bo21bo2b2o11bobo574b
o$690b2o26b3o3bo3bo20bo9b2o2bo24b3o24b2o20bo2bobo11bobo$691bo26b2o4bob
o10b2o7bo5bo8bo26bo27bo21bo2b2o11b2o$726bo10b2o8bo3bo88bo10bo$748b3o2$
1015b2o$850bo163b2o$849bobo164bo$668bobo178bobo$668b2o180bo$669bo940bo
$1610bobo$748b3o859b2o$681b2o2bo40bo10b2o8bo3bo88bo10bo$681b2obobo31b
2o4bobo10b2o7bo5bo8bo26bo27bo21bo2b2o11b2o572b2o$680b2o2bob2o30b3o3bo
3bo20bo9b2o2bo24b3o24b2o20bo2bobo11bobo570bobo$681bobo2b2o30b2o4bobobo
8bo3bo3bo7bo7bo26bo27bo21bo2b2o11bobo572bo$682b2o3bo37bo10bobobob4ob4o
bo87bo14b2o$683b2obo39bobo7bobo5bo5b2o$685bo51bo2bo3b2o$700bobo39b2o$
848bo$688bo5b3o6b2o144bo196b2o$686b4o3bo6b2obobo141bo2bo195bobo$12bo
26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo
26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo5b2ob3o2bo6b2o3b2o141bobo
195bo$11b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b
2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24b
o2bo11bo12b2o2bo24b3o2b2o3b2o6bo2b3ob2o142b2o$12bo26b2o26bobo26bo26bo
27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo
27bo26b2o26bobo11bobo12bo26bo5bobob2o6bo3b4o40bo13bo13bo13bo13bo13bo
13bo$637b2o47b2o6b3o5bo41bobo11bobo11bobo11bobo11bobo11bobo11bobo749bo
$3o741bobo11bobo11bobo11bobo11bobo11bobo11bobo747b2o$3o685bobo54bo13bo
13bo13bo13bo13bo13bo749b2o$bo687b2o$690bo734bo$689bobo733b2o$689bobo
732bobo$690bo$689b2o$688bobo2$686b2o6b3o5bo57bo13bo13bo13bo13bo13bo13b
o$456b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo5bobob2o6bo3b4o54bobo11bo
bo11bobo11bobo11bobo11bobo11bobo232bo$456b3o24bo2bo24b2o2bo24b3o24b2o
26b3o24bo2bo24b2o2bo24b3o2b2o3b2o6bo2b3ob2o53bobo11bobo11bobo11bobo11b
obo11bobo11bobo231b2o$15bo440b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo
5b2ob3o2bo6b2o3b2o53bo13bo13bo13bo13bo13bo13bo18bo213bobo$14bobo590bo
78b4o3bo6b2obobo156b3o$605b2o81bo5b3o6b2o157bo2bo$14b3o589b2o255bobo
682bo$700bobo161bo682bo$452bo306bo787b3o$452b2o304bobo$451bobo298b4o$
683bo67bo3bo2bob2o109bo549b3o$682b3o54bobo8bo4bo4bobobo91bo12b4o550bo$
663bo14b3o2bobo20bo26bo5bobo8bo2b4ob2o14b2o26bobo26bo25b2o9b2o3bo548bo
$677bo2bobob2o18b2o2bo24b3o4bo9bobobob2o5bo2bo7b3o24bo2bo24b2o2bo22b3o
8bo3b2o$662bobo13bo3bobo21bo26bo17bobo8b2ob2o7b2o26bobo26bo25b2o9b4o$
663bo15b2o71b2o8bo3bo89bo12bo$29bo633bo98bobobo$29bo$28bobo1077b3o$
865bo242bo$29bo545bo288bobo242bo$574bo289bobo$574b3o288bo$1516bobo$
1516b2o$448b3o311bobobo750bo$450bo301b2o8bo3bo89bo12bo$449bo227bobo26b
o26bo17bobo8b2ob2o7b2o26bobo26bo25b2o9b4o546b2o$676bo2bo24b2o2bo24b3o
4bo9bobobob2o5bo2bo7b3o24bo2bo24b2o2bo22b3o8bo3b2o546b2o$677bobo26bo
26bo5bobo8bo2b4ob2o14b2o26bobo26bo25b2o9b2o3bo544bo$739bobo8bo4bo4bobo
bo91bo12b4o$42b3o706bo3bo2bob2o109bo$43bo708b4o$43bo714bobo$759bo$864b
o275b2o$863bobo273b2o$862bo2bo275bo$543bobo316b3o$543b2o215bo13bo13bo
13bo13bo13bo13bo18bo$544bo214bobo11bobo11bobo11bobo11bobo11bobo11bobo
639bo$759bobo11bobo11bobo11bobo11bobo11bobo11bobo639bobo$445b2o313bo
13bo13bo13bo13bo13bo13bo640b2o$446b2o$57bo387bo969b2o$56b3o1355bobo$
1416bo6$1171b2o$1171bobo$1171bo$512bo$512bobo$512b2o941bo$70b3o1380b2o
$70b3o369b2o1010b2o$71bo369bobo$443bo968bo$1412b2o$1411bobo2$1505bo13b
o13bo13bo13bo13bo13bo$1504bobo11bobo11bobo11bobo11bobo11bobo11bobo$
1504bobo11bobo11bobo11bobo11bobo11bobo11bobo10b2o$1505bo13bo13bo13bo
13bo13bo13bo10bo2bo$1203bo396b2obo$1202b2o396b2o2bo$85bo1116bobo300b2o
94bo$84bobo395bo1020bo2bo96bobo$480b2o1014b2o4b2o2bo96bobo$84b3o394b2o
940bo71bob2ob3o101b2o$1422bo71b8o120b3o$439bo982b3o69b2obo111bo4b2o5bo
3bo$439b2o1053b2ob2o9bo96bo3bo4bo5b2o3b2o$438bobo977bo27bo26b2o20b3o4b
obo4bo33bo27bo26b2o4bobo13bobobob2o$1418b3o24b2o26b3o20bo5bo2bo2b2o33b
3o24b2o26b3o2b2obobobo13bobo$1418bo27bo26b2o27bob3o2bo33bo27bo26b2o4b
2o3b2o5bo4bo3bo$1510b2o93bo3bo5b2o4bo$1504b3o99b3o$1514bo95b2o$1513bo
96b2o$99bo1301bo104bo5bo98b2o$99bo1301bo103bobo104bo$98bobo1132b3o164b
3o102bobo104bo$1233bo272bo5bo98b2o$99bo350bo783bo278bo96b2o$449bo1064b
o95b2o$449b3o1052b3o99b3o$1510b2o93bo3bo5b2o4bo$445bo27bo26b2o26bobo
26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo
26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo
26bo26bo27bo26b2o27bob3o2bo33bo27bo26b2o4b2o3b2o5bo4bo3bo$445b3o24b2o
26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo
2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2b
o24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b
2o26b3o20bo5bo2bo2b2o33b3o24b2o26b3o2b2obobobo13bobo$445bo27bo26b2o26b
obo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bo
bo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bob
o26bo26bo27bo26b2o20b3o4bobo4bo33bo27bo26b2o4bobo13bobobob2o$1494b2ob
2o9bo96bo3bo4bo5b2o3b2o$1494b2obo111bo4b2o5bo3bo$1387bo106b8o120b3o$
1495bob2ob3o101b2o$112b3o313bo957bobo107b2o4b2o2bo96bobo$113bo314bo
958bo115bo2bo96bobo$113bo313b3o957bo117b2o94bo$1600b2o2bo$1265b2o333b
2obo$1264b2o239bo13bo13bo13bo13bo13bo13bo10bo2bo$1266bo237bobo11bobo
11bobo11bobo11bobo11bobo11bobo10b2o$1504bobo11bobo11bobo11bobo11bobo
11bobo11bobo$1505bo13bo13bo13bo13bo13bo13bo5$127bo286bo957b3o$126b3o$
413bobo956bobo$414bo958bo$414bo4$1296b2o$1296bobo$1296bo4$140b3o1216bo
$140b3o256b3o956b3o$141bo1216b3o$399bobo$400bo7$1328bo$1327b2o218bo13b
o13bo13bo13bo13bo13bo$155bo1171bobo216bobo11bobo11bobo11bobo11bobo11bo
bo11bobo15bo$154bobo1389bobo11bobo11bobo11bobo11bobo11bobo11bobo15bo$
386bo957b3o200bo13bo13bo13bo13bo13bo13bo14bobo$154b3o228b3o957bo299b2o
$385b3o1258b3o$1647b2o3$1656bo$1537bo8b2o106bo2bo3bo$1536bobo5b2o2b2o
104bo6b2o$1536b2o6b2obo105b2ob2o4b2o$1462bo27bo26b2o21b3o2bo4bo3bo5bo
26bo27bo26b2o7b4o4b3ob2o$1462b3o24b2o26b3o21bo7bo3bobo2b2o2bo24b3o24b
2o26b3o5b2ob3o4b4o$169bo1161bo130bo27bo26b2o23bo2b2obobo2bob2o3bo26bo
27bo26b2o7b2o4b2ob2o$169bo1161bo211bo3b2ob4o98b2o6bo$168bobo1159b3o25b
3o186bo5b2o98bo3bo2bo$371b3o984bo185bo2b2obo3bo103bo$169bo202bo986bo
188bo$1549bo102bo$1549bo3bo97bobo$1549bo3bo97bobo$1549bo102bo$1450bo
18b2o77bo$1449b3o16bo2bo72bo2b2obo3bo103bo$1468bo2bo75bo5b2o98bo3bo2bo
$1467bo3bo71bo3b2ob4o98b2o6bo$1317bo149bo3bobo16bo26b2o23bo2b2obobo2bo
b2o3bo26bo27bo26b2o7b2o4b2ob2o$1472bob2o13b2o26b3o21bo7bo3bobo2b2o2bo
24b3o24b2o26b3o5b2ob3o4b4o$182b3o173bo957bobo148bo7bo14bo26b2o21b3o2bo
4bo3bo5bo26bo27bo26b2o7b4o4b3ob2o$183bo174bo958bo148b3o4bobo60b2o6b2ob
o105b2ob2o4b2o$183bo173b3o957bo218bobo5b2o2b2o104bo6b2o$1467b2o68bo8b
2o106bo2bo3bo$1390b2o75b2o187bo$1295b3o91b2o$1295bo2bo92bo95b2o$1284bo
8b2o187bo2bo3b2o156b2o$1293bo5bo171bobo7bobo5bo5b2o149b3o$1283bobo7bo
3b2o171bo10bobobob4ob4obo147b2o$1284bo9bo2bo11b2o13b2o26bobo26bo26bo
27bo26b2o4bobobo8bo3bo3bo7bo48bo13bo13bo13bo13bo13bo13bo14bobo$1284bo
11bo12b2o13b3o24bo2bo24b2o2bo24b3o24b2o26b3o3bo3bo20bo51bobo11bobo11bo
bo11bobo11bobo11bobo11bobo15bo$1324b2o26bobo26bo26bo27bo26b2o4bobo10b
2o7bo5bo48bobo11bobo11bobo11bobo11bobo11bobo11bobo15bo$197bo146bo1126b
o10b2o8bo3bo50bo13bo13bo13bo13bo13bo13bo$196b3o1093bo13bo186b3o$343bob
o945bobo11bobo$344bo947bo13bo$344bo4$1421b2o$1270b2o149bobo108bo13bo
13bo13bo13bo13bo13bo$1273bo147bo71b3o35bobo11bobo11bobo11bobo11bobo11b
obo11bobo17bo$1270b2obo197bo10b2o8bo3bo34bobo11bobo11bobo11bobo11bobo
11bobo11bobo15b2o$1269bo2bo24bo26b2o26bobo26bo26bo27bo26b2o4bobo10b2o
7bo5bo34bo13bo13bo13bo13bo13bo13bo15b2o$1270bo25b2o26b3o24bo2bo24b2o2b
o24b3o24b2o26b3o3bo3bo20bo140bobo$210b3o1058bo25bo26b2o26bobo26bo26bo
27bo26b2o4bobobo8bo3bo3bo7bo134b5o$210b3o116b3o1138bo10bobobob4ob4obo
134b3o$211bo1259bobo7bobo5bo5b2o$329bobo1150bo2bo3b2o31bo$330bo1156b2o
153bo$1523bo7b2o108b2o$1470b2o49b2o8b2o107b2ob4o$1470bobo48b2o3bobobo
2bo104bo2bo3b3o$1504bo21b2o3b2o12bo26b2o26bobo26bo7b3o3b2o3bo$1470bo2b
o28b2o2bo20b2obo2bo10b2o26b3o24bo2bo24b2o2bo4bo3b2o3b3o$1470b3o31bo25b
ob2o4b3o4bo26b2o26bobo26bo7b3o3bo2bo$1453bo14bobo57bobo2bobobo2bo97b4o
b2o$1452b2o15b2o58b3o4b2o104b2o$225bo1226bobo15bo2bo59bobobobo102bo$
224bobo1244b2o61bo3bo$316bo1218b3o99bo$224b3o88b3o1318bobo$315b3o1318b
obo$1535b3o99bo$1534bo3bo$1533bobobobo102bo$1529b3o4b2o104b2o$1528bobo
2bobobo2bo97b4ob2o$1475bobo26bo25bob2o4b3o4bo26b2o26bobo26bo7b3o3bo2bo
$1474bo2bo24b2o2bo20b2obo2bo10b2o26b3o24bo2bo24b2o2bo4bo3b2o3b3o$1475b
obo26bo21b2o3b2o12bo26b2o26bobo26bo7b3o3b2o3bo$1521b2o3bobobo2bo104bo
2bo3b3o$239bo1281b2o8b2o107b2ob4o$239bo1283bo7b2o108b2o$238bobo1401bo$
301b3o1218bo$239bo62bo$1632b3o$1633b5o$1635bobo$1532bo13bo13bo13bo13bo
13bo13bo15b2o$1531bobo11bobo11bobo11bobo11bobo11bobo11bobo15b2o$1531bo
bo11bobo11bobo11bobo11bobo11bobo11bobo17bo$1532bo13bo13bo13bo13bo13bo
13bo4$252b3o33bo$253bo34bo$253bo33b3o11$267bo6bo$266b3o$273bobo$274bo$
274bo10$280b3o1242bo13bo13bo13bo13bo13bo13bo$259b3o18b3o1241bobo11bobo
11bobo11bobo11bobo11bobo11bobo$281bo1242bobo11bobo11bobo11bobo11bobo
11bobo11bobo$259bobo1263bo13bo13bo13bo13bo13bo13bo$260bo5$1516bo$1515b
obob2o98bo8b2o$1514b3ob4o96bobo6bo2bo$1512bo3bo2bo2b2o94b2o3bo3bo2bo$
295bo1179bo27bo7bo2bo4b2o2bo20bobo26bo26bo22bo3b4o$294bobo1178b3o24b2o
7bo2b2o4bo2bo19bo2bo24b2o2bo24b3o20b5o2bo5bo$246bo1228bo27bo7b2o2bo2bo
3bo21bobo26bo26bo23b2o3b2o4b3o$245b3o46b3o1216b4ob3o109b2o2bo2bo$245b
3o1200b3o63b2obobo106b4o2bobo$1447bo3bo66bo108bo3b2obo$1447bo3b2o178bo
3bo$1449bobo60bo119bobo$1511bobo119bo$1511bobo119bo$1512bo119bobo$
1631bo3bo$1518bo108bo3b2obo$1514b2obobo106b4o2bobo$309bo1203b4ob3o109b
2o2bo2bo$309bo1165bo27bo7b2o2bo2bo3bo21bobo26bo26bo23b2o3b2o4b3o$308bo
bo1156b3o5b3o24b2o7bo2b2o4bo2bo19bo2bo24b2o2bo24b3o20b5o2bo5bo$231b3o
1233bo2bo4bo27bo7bo2bo4b2o2bo20bobo26bo26bo22bo3b4o$232bo76bo1160bo41b
o3bo2bo2b2o94b2o3bo3bo2bo$1468b2o44b3ob4o96bobo6bo2bo$1515bobob2o98bo
8b2o$1422bobo91bo$1422b2o$1423bo$1460b2o13b3o$1268b2o26bobo26bo26bo27b
o26b2o26bobo24bo10b2o2bo$1268b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo
24b2o9bo2b2o$1268b2o26bobo26bo26bo27bo26b2o26bobo24bo10b3o49bo13bo13bo
13bo13bo13bo13bo$1460b2o62bobo11bobo11bobo11bobo11bobo11bobo11bobo$
218bo103b3o1199bobo11bobo11bobo11bobo11bobo11bobo11bobo$218bo104bo
1201bo13bo13bo13bo13bo13bo13bo$217b3o103bo$1470bo$1469bobo$1469bobo$
1262b3o205bo$1263bo21bo$1263bo20bobo$1285bo105bo$1391bobo66b2o78bo13bo
13bo13bo13bo13bo13bo$1296b3o26bo26bo27bo10b2o14b2o26bobo24bo10b3o63bob
o11bobo11bobo11bobo11bobo11bobo11bobo$1288b2o5bo2bo24b2o2bo24b3o24b2o
26b3o24bo2bo24b2o9bo2b2o61bobo11bobo11bobo11bobo11bobo11bobo11bobo$
204bo132bo950b2o5bo3bo25bo26bo27bo26b2o26bobo24bo10b2o2bo62bo13bo13bo
13bo13bo13bo13bo$336b3o957b2obo160b2o13b3o$203bobo$204bo1091bobo$204bo
1091b2o2$1277bo190b2o$1276b3o170bo20bo59b2o4b2o96bo7b4o$1448bo18bo2bo
59b2o4bobo94bobo5bo3bo$1449bo17b3o60b3o5b2o93b2o3bobo4b2o$1461b2o26bob
o26bo6b2o12b2o18bo26b2o26bobo20b3ob3o7bo$1461b3o24bo2bo24b2o2bo3b2o12b
2o18b2o26b3o24bo2bo20bo4b2o2b2o2bob2o$1461b2o26bobo26bo6b2o5b3o24bo26b
2o26bobo22bo3bobobo2bob2o$1361bo82bo81bobo4b2o110bob2o3bo$350b3o1006b
2o83b2o81b2o4b2o108bo3bo3bo$189b3o158b3o957bo49b2o78bo4bo198b3o3b2o$
351bo957b3o128bob3o199b2o$189bobo1249b2o84bo117b2o$190bo1335bobo116bob
o$1526bobo116bobo$1527bo117b2o$1429bo214b2o$1428b3o213b3o3b2o$1428b3o
96b2o4b2o108bo3bo3bo$1526bobo4b2o110bob2o3bo$1434bo26b2o26bobo26bo6b2o
5b3o24bo26b2o26bobo22bo3bobobo2bob2o$1433b2o26b3o24bo2bo24b2o2bo3b2o
12b2o18b2o26b3o24bo2bo20bo4b2o2b2o2bob2o$365bo1068bo26b2o26bobo26bo6b
2o12b2o18bo26b2o26bobo20b3ob3o7bo$364bobo1163b3o5b2o93b2o3bobo4b2o$
176bo1146b3o204b2o4bobo94bobo5bo3bo$175b3o186b3o956b3o3bo200b2o4b2o96b
o7b4o$175b3o1146bo3bo$1328b3o5$1540bo13bo13bo13bo13bo13bo13bo$1539bobo
11bobo11bobo11bobo11bobo11bobo11bobo$1539bobo11bobo11bobo11bobo11bobo
11bobo11bobo$1540bo13bo13bo13bo13bo13bo13bo$379bo$379bo958bo$378bobo
956bobo$161b3o$162bo216bo957b3o3$1297bobo$1297b2o$1298bo6$148bo243b3o
957bo$148bo244bo958bo$147b3o243bo957bobo2$1352bo5$1266bo$1266bobo$
1266b2o2$134bo272bo$406b3o$133bobo1229b3o130bo13bo13bo13bo13bo13bo13bo
$134bo1231bo130bobo11bobo11bobo11bobo11bobo11bobo11bobo$134bo1231bo
130bobo11bobo11bobo11bobo11bobo11bobo11bobo$1498bo13bo13bo13bo13bo13bo
13bo3$1602b2o$1599b3ob2o$426bo1166b3o4bo$1498bo92bo8bo$424b2obo1068b2o
b2o98bo$423b2o811bo252b2o4bo4b2o88bo2bo3bo$422b2ob2o807b2o243b3o7b2o3b
2obo4bo90bobo$119b3o301bo20b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27b
o26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo
26b2o26bobo26bo26bo11b2o14bo26b2o26bobo26bo26bo17bo9bo26b2o26bobo26bo
3b2o2b2o11bo6b2o11bo26b2o26bobo18bo3bo4bo5bo$424bo2bo16b3o24bo2bo24b2o
2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o
24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o
24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o14b3o7b2o26b3o24bo2b
o24b2o2b3o6bo11b2o2b2o11b2o26b3o24bo2bo19b3o3bo4bob3o$119bobo302bo2bo
16b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo
26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo
26b2o26bobo26bo26bo27bo26b2o26bobo26bo3bo4bob2o3b2o7b3o13bo26b2o26bobo
27b4ob2o$120bo1358b2o5bo3b2o108bo6bo$425bo2bo1051b2o$426b3o1053bo3bo
115bo$1484bo125bo$1486b3o114bo$424bo1177bobo$425bo1176bobo$423b3o973bo
86b3o114bo$1484bo125bo$451b2o944b2obo81bo3bo115bo$450b2o944b2o82b2o$
106bo345bo942b2ob2o79b2o5bo3b2o108bo6bo$105b3o1096bo191bo20b2o26bobo
26bo3bo4bob2o3b2o7b3o13bo26b2o26bobo27b4ob2o$105b3o1095bo193bo2bo16b3o
24bo2bo24b2o2b3o6bo11b2o2b2o11b2o26b3o24bo2bo19b3o3bo4bob3o$1203b3o
191bo2bo16b2o26bobo26bo3b2o2b2o11bo6b2o11bo26b2o26bobo18bo3bo4bo5bo$
1479b3o7b2o3b2obo4bo90bobo$1398bo2bo87b2o4bo4b2o88bo2bo3bo$1399b3o94b
2ob2o98bo$1498bo92bo8bo$1593b3o4bo$1397bo201b3ob2o$1398bo203b2o$1396b
3o$426bobo$427b2o995b2o72bo13bo13bo13bo13bo13bo13bo$427bo995b2o72bobo
11bobo11bobo11bobo11bobo11bobo11bobo$91b3o388b2o941bo71bobo11bobo11bob
o11bobo11bobo11bobo11bobo$92bo389bobo1013bo13bo13bo13bo13bo13bo13bo$
482bo2$1172bobo$1172b2o$1173bo6$78bo1320bobo$78bo1321b2o$77b3o351bo
968bo$429bobo1023b2o$430b2o1023bobo$514bo940bo$513b2o$513bobo2$1141bo$
1141bobo$737bo403b2o$736bo4bo11bo13bo13bo13bo13bo13bo$64bo671bo4bo10bo
bo11bobo11bobo11bobo11bobo11bobo10b3o$742bo9bobo11bobo11bobo11bobo11bo
bo11bobo$63bobo672bo2bo11bo13bo13bo13bo13bo13bo14b2o$64bo675bo92b2o3b
2o$64bo767bo571bo$833b2o567bobo$433bo404bo564b2o$434b2o403bo16bo630bo$
433b2o405bo9b2o4bo629b2o$836bo12bob2o4b2o627bobo$544b3o198b3o89bo10b3o
b2o2b3o$544bo198b2obobo89bo8b2o5b2obo$545bo104bo26bo27bo26b2o8bobo3bo
26bo26bo27bo15bo3bo4b2o3bo$648b2o2bo24b3o24b2o26b3o7bo3bobo24b2o2bo24b
3o24b2o16bobo3b3o3b5o247bo$650bo26bo27bo26b2o8bobob2o27bo26bo27bo17bo
2bo7b6o244b2o$49b3o691b3o103b2o7b2obob2o245b2o$860bobo$49bobo$50bo$
641b3o96bo$642bo14bo81bobo$642bo12b2obo80bobo664bo$655b2ob2o80bo666b2o
$437bo217bobobo746b2o$438bo216b2obob2o$436b3o217bob5o197bobo654b3o$
656b3o2bo5bo75b3o103b2o7b2obob2o652bo$576b2o84bo14bo27bo26b2o8bobob2o
27bo26bo27bo17bo2bo7b6o653bo$575b2o90bo9b3o24b2o26b3o7bo3bobo24b2o2bo
24b3o24b2o16bobo3b3o3b5o$36bo540bo84b3o12bo27bo26b2o8bobo3bo26bo26bo
27bo15bo3bo4b2o3bo$35b3o623bo2bo78b2obobo89bo8b2o5b2obo221bo$35b3o625b
o81b3o89bo10b3ob2o2b3o219bo$660b3o19bo153bo12bob2o4b2o219b3o$680b4o
156bo9b2o4bo$673b2o5b2o2bo154bo16bo$672bobo3bo159bo$672bo2bob2o154b2o$
671bo3bo7b2o147bo$671bo3bo10bo2bo50bo92b2o3b2o570bo$457bo26bo27bo26b2o
26bobo26bo26bo27bo20bobo4bobo4bo3bo47bo2bo11bo13bo13bo13bo13bo13bo14b
2o571bo$455b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o21bo5b3o2b2o
56bo9bobo11bobo11bobo11bobo11bobo11bobo584b3o$457bo26bo27bo26b2o26bobo
26bo26bo27bo28bobo4bo48bo4bo10bobo11bobo11bobo11bobo11bobo11bobo10b3o$
681b2o4bo48bo4bo11bo13bo13bo13bo13bo13bo725b2o$682b2o4bobo46bo810b2o$
21b3o583b2o82bo858bo$22bo584bobo79b2o$607bo$682b3obobo$682b3obobo358bo
bo$724bo322b2o$689b2o32bobo322bo$691bo30b5o11bo13bo13bo13bo13bo13bo13b
o$682b2o4bobo32bobo11bobo11bobo11bobo11bobo11bobo11bobo11b2o$681b2o4bo
37bo11bobo11bobo11bobo11bobo11bobo11bobo7b2o5bo$11bobo26bo26bo27bo26b
2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b
2o26bobo26bo26bo27bo28bobo4bo35b3o12bo13bo13bo13bo13bo13bo7bo5bo2bo$
10bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b
2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o
24b2o21bo5b3o2b2o38bo95bo3bo$8bob2obo26bo26bo27bo26b2o26bobo26bo26bo
27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo
27bo20bobo4bobo4bo3bo34bo91bo594bobo$8bo662bo3bo10bo2bo128b2o593b2o$7b
3o661bo3bo7b2o39bo688bo$672bo2bob2o143b2o756b2o$672bobo3bo142b2ob2o14b
2o738bobo$639bo33b2o5b2o2bo136b2ob2o8bo6b2o737bo$638b2o40b4o139b2o8bob
o2bo4bobob2o$638bobo41bo32b2o13b3o100bob2ob3ob2o2b2obo$658bo31bobo24bo
10b2o2bo27bo26b2o26bobo16bo3b3ob2o3bo$660b2o27bo2bo24b2o9bo2b2o26b2o
26b3o24bo2bo16b2o180bo$657b2o2bo28bobo24bo10b3o29bo26b2o26bobo16b2o
180bobo$658bob2o53b2o117b2o8b5o167b2o$845bobo$846bo$663b2o$665bo59bo$
661b2o3bo57bobo$661b5o58bobo690bo$659bobo3bo59bo689bobo$659b5o752b2o$
659bo2bobo181bo765bo$845bobo763b2o$715b2o117b2o8b5o762bobo$690bobo24bo
10b3o29bo26b2o26bobo16b2o$663b2o24bo2bo24b2o9bo2b2o26b2o26b3o24bo2bo
16b2o$690bobo24bo10b2o2bo27bo26b2o26bobo16bo3b3ob2o3bo$715b2o13b3o100b
ob2ob3ob2o2b2obo136bo$823b2o8bobo2bo4bobob2o135b2o$821b2ob2o8bo6b2o
142b2o$821b2ob2o14b2o$822b2o$724bo$818b2o$725bo91bo$724bo95bo3bo594bo$
723b3o12bo13bo13bo13bo13bo13bo7bo5bo2bo594b2o$725bo11bobo11bobo11bobo
11bobo11bobo11bobo7b2o5bo594b2o$723bobo11bobo11bobo11bobo11bobo11bobo
11bobo11b2o$722b5o11bo13bo13bo13bo13bo13bo13bo819b3o$723bobo916bo$724b
o918bo3$954bo$953bo$953b3o$1884bo13bo13bo13bo13bo13bo13bo$1883bobo11bo
bo11bobo11bobo11bobo11bobo11bobo$1883bobo11bobo11bobo11bobo11bobo11bob
o11bobo$1884bo13bo13bo13bo13bo13bo13bo2$1423bo$1424bo$1422b3o2$1674b2o
200bo100b3o2bo$1673b2o200b2o110bo$1675bo198b2ob4o96b2o4bo3b2o$1872bo2b
o3b3o95b2o4bo4bo$1779bo26b2o26bobo26bo7b3o3b2o3bo21bo26b2o26bobo21bo2b
3o$1778b2o26b3o24bo2bo24b2o2bo4bo3b2o3b3o21b2o26b3o24bo2bo21b2o$922bob
o854bo26b2o26bobo26bo7b3o3bo2bo23bo26b2o26bobo22bobob2o4b2o$922b2o948b
4ob2o105b5obo4b2o$923bo952b2o111b3ob3o$1772b3o101bo112b2obob2o$1772b3o
216b3o$1773bo97bo120bo$1870bobo$1870bobo$1425bobo357bo85bo120bo$1426b
2o357bo2bo202b3o$1426bo358b2o2bo86bo112b2obob2o$1705b2o82bo86b2o111b3o
b3o$1705bobo79bo84b4ob2o105b5obo4b2o$1705bo100b2o26bobo26bo7b3o3bo2bo
23bo26b2o26bobo22bobob2o4b2o$1806b3o24bo2bo24b2o2bo4bo3b2o3b3o21b2o26b
3o24bo2bo21b2o$1794bo11b2o26bobo26bo7b3o3b2o3bo21bo26b2o26bobo21bo2b3o
$1792bob2o17bo58bo2bo3b3o95b2o4bo4bo$891bo900bob2o16bobo59b2ob4o96b2o
4bo3b2o$891bobo899bo17b2obo60b2o110bo$891b2o920bo62bo100b3o2bo5$1804bo
11b4o$891bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo
26bo26bo27bo26b2o26bobo26bo26bo10bo16bo26b2o26bobo26bo26bo27bo26b2o26b
obo26bo26bo27bo26b2o26bobo20b2o10b2o2bo64bo13bo13bo13bo13bo13bo13bo$
890b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b
3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o6bobo15b2o26b3o24b
o2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo19bo2b
o12b2o63bobo11bobo11bobo11bobo11bobo11bobo11bobo$891bo26b2o26bobo26bo
26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo
26bo9b2o16bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo
20b2o78bobo11bobo11bobo11bobo11bobo11bobo11bobo$1737bo66bo9b4o66bo13bo
13bo13bo13bo13bo13bo$1736b2o77bo$1736bobo2$1814bo$1813bobo$1813bobo$
1814bo2$1869bo13bo13bo13bo13bo13bo$1815bo52bobo11bobo11bobo11bobo11bob
o11bobo12b2o$1804bo9b4o38b2o10bobo11bobo11bobo11bobo11bobo11bobo11b2o$
1447bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo20b2o
64bo13bo13bo13bo13bo13bo$1446b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24b
o2bo24b2o2bo24b3o24b2o26b3o24bo2bo19bo2bo12b2o$1447bo26b2o26bobo26bo
26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo20b2o10b2o2bo$1804bo11b4o2$
1967b2o$1767b3o197b2o$1767bo195b3o$1768bo44bo46b5o97bobobo5b2o$1789bob
o19b2obo43b2o3bobo95b3o2bo4bobo$1812bobo5bo27bo8bobobo4bo22bobo26bo26b
o15b2o7b2o$1787bo5bo19bo6b3o24b2o7bo4bobobo22bo2bo24b2o2bo24b3o14bo2bo
2b2o3bo3bo$1820bo27bo8bobo3b2o24bobo26bo26bo17bo6b3o2b2ob2o$1787bo5bo
64b5o107bo4bo3bo$1975bo3bo$1789bobo184b3o$1977bo$1793bo3b2o57bo$1793bo
3b2o56bobo$1789b2o4b3o57bobo$1794bo2bo58bo$1788bo3b2o183bo$1795b2o179b
3o$1789b3o183bo3bo$1858b5o107bo4bo3bo$1820bo27bo8bobo3b2o24bobo26bo26b
o17bo6b3o2b2ob2o$1820b3o24b2o7bo4bobobo22bo2bo24b2o2bo24b3o14bo2bo2b2o
3bo3bo$1820bo27bo8bobobo4bo22bobo26bo26bo15b2o7b2o$1858b2o3bobo95b3o2b
o4bobo$1860b5o97bobobo5b2o$1963b3o$1967b2o$1967b2o5$1869bo13bo13bo13bo
13bo13bo$1856b2o10bobo11bobo11bobo11bobo11bobo11bobo11b2o$1868bobo11bo
bo11bobo11bobo11bobo11bobo12b2o$1869bo13bo13bo13bo13bo13bo!

PK22 · Post by **PK22** » April 3rd, 2025, 11:49 am

Naszvadi wrote: ↑
April 3rd, 2025, 9:15 am
Corderized, speed is 14/69c orthogonal:
Code: Select all
rle

How did you find all of the reactions and assemble a Corderoid so quickly?

Partial converter for the oblique spaceship (which probably needs a name) to a glider:

Code: Select all

x = 38, y = 63, rule = B36n7e/S2-i3
25b2o$25b2o16$34b2o$34bobo$36bo$36b2o7$12b2o$2o10bobo$2o10bo2bo$13b2o
7$19b2o$18b3o$18bo2bo$18b2ob2o$19bobo$4bo15bo$2b2obo$bobobo$bob2o$2bo
6$17b2o$17b2o2$5b2o$4b3o$4bo2bo$4b2ob2o$5bobo$6bo$10b2o$10b2o!

Just need to find a way to clean up those two blocks, and then we have a glider gun.

confocaloid · Post by **confocaloid** » April 3rd, 2025, 2:52 pm

Crossposting some prior art for constructible "checkerboard" still lives:

pifricted wrote: ↑

April 3rd, 2025, 6:45 am

In this rule, all n x n checkerborads are synthesizable:

Code: Select all

x = 80, y = 41, rule = B3-j4i6c/S1c2-e3-eq4cny5ey
55bo$54bobo$53bobo$52bobo$51bobo$50bobo$49bobo$48bobo$32b3o14bo$33bo16b
o10$73bo$72b3o5$6bo$6b2o$6bo16bo24bo19bo9bo$22bobo22bobo17bobo8b2o$21b
obo7bo14bobobo15bobobo7bo$22bo8b2o14bobo7bo9bobobo$31bo16bo8b2o9bobo$
57bo11bo3$3o$bo2$25b3o$26bo24b3o$52bo!

confocaloid wrote: ↑

December 24th, 2024, 4:44 am

[...] Unrelated (but still related to glider syntheses), here is a CA where "checkerboard still lives" of all sizes are constructible.
The pattern includes

a small p5 orthogonal 2c/5 spaceship,
a small p50 orthogonal 2c/5 spaceship,
an engineered p40 orthogonal 2c/5 puffer that incrementally constructs 5-by-3 "checkerboards",
a p40 rake that removes the "checkerboards".

It looks plausible that all "checkerboards" are also glider-destructible, but I did not prove that.

Code: Select all

x = 589, y = 141, rule = B2cin3aijk4iqr5acir6aci78/S1c2-ik3ceq4c5y
357b2o$278b2o76b2o$30b2o245b2o78b2o$29b2o247b2o81bobo188b2o$30b2o250bo
bo75bobo4bo6bo176b2o$34bobo244bobo4bo6bo65bo4bobo5bo177b2o4bo$33bobo4b
o6bo234bo4bobo5bo32b2o35bobo6bo181b2ob2o$34bo4bobo5bo71b2o128b2o35bobo
6bo31b2o37bo68b2o118bobobo4bo$b2o35bobo6bo70b2o78b2o48b2o37bo40b2o104b
2o120bobo4bobo4bobo$2o37bo79b2o4bo71b2o50b2o81bobo5bo94b2o4bo81b2o32bo
4bobo$b2o120b2ob2o70b2o4bo48bobo5bo69bobo5b2o98b2ob2o78b2o39bo$5bobo5b
o108bobobo4bo70b2ob2o45bobo5b2o70bo5b2obo5b3o13b3o72bobobo4bo75b2o4bo$
4bobo5b2o109bobo4bobo4bobo61bobobo4bo42bo5b2obo5b3o13b3o52b3obo95bobo
4bobo4bobo71b2ob2o$5bo5b2obo5b3o13b3o51b2o32bo4bobo70bobo4bobo4bobo41b
3obo75b2obo11bo15bo15bo18b2o32bo4bobo78bobobo4bo9bo15bo$12b3obo72b2o
39bo38b2o32bo4bobo50b2obo11bo15bo15bo31bo2b2o60b2o39bo80bobo5bo$13b2ob
o11bo15bo15bo29b2o4bo71b2o39bo51bo2b2o71bo17bo15bo15bo18b2o4bo115bo4bo
bo9bo15bo$13bo2b2o76b2ob2o70b2o4bo82bo17bo15bo15bo101b2ob2o$10bo17bo
15bo15bo32bobobo4bo9bo15bo44b2ob2o161b2o68bobobo4bo9bo15bo90b2obo12b3o
13b3o13b3o$94bobo5bo69bobobo4bo9bo15bo52b2o76b2o70bobo5bo117b3o$12b2o
81bo4bobo9bo15bo44bobo5bo77b2o76bo51bo21bo4bobo9bo15bo92bo$11b2o161bo
4bobo9bo15bo50bo51bo25b2o45bo4bobo191bobo$10bo51bo39b2obo12b3o13b3o13b
3o104b2o45bo4bobo19bo4bobob2o40bobo4bobo26b2obo12b3o13b3o13b3o111b3ob
3o$9b2o45bo4bobo39b3o75b2obo12b3o13b3o13b3o20bo4bobob2o40bobo4bobo19bo
4b3o41b2o2b2o3bo28b3o158b3ob3o$4bo4bobob2o40bobo4bobo39bo77b3o68bo4b3o
41b2o2b2o3bo16b2o8bo4bo36bo5bo33bo106bo51bobo2bo2bo$5bo4b3o41b2o2b2o3b
o85bobo31bo65b2o8bo4bo36bo5bo19b2o48bobo3b3o79bobo58bobo9bo41b2o4bobo$
b2o8bo4bo36bo5bo87b3ob3o74bobo17b2o48bobo3b3o21b2o48b3o82b3ob3o57bobo
7b3o36bo3b2o5bo$2o48bobo3b3o88b3ob3o72b3ob3o16b2o48b3o75bobo83b3ob3o
53b2o50bobo4bo$b2o48b3o40bo51bobo2bo2bo71b3ob3o65bobo109bo51bobo2bo2bo
51b2o48bobo$50bobo40bobo9bo41b2o4bobo17bo51bobo2bo2bo175bobo9bo41b2o4b
obo51b2o48b3o$94bobo7b3o36bo3b2o5bo17bobo9bo41b2o4bobo175bobo7b3o36bo
3b2o5bo101bobo$90b2o50bobo4bo23bobo7b3o36bo3b2o5bo172b2o50bobo4bo$89b
2o48bobo27b2o50bobo4bo176b2o48bobo$90b2o48b3o25b2o48bobo185b2o48b3o$
139bobo27b2o48b3o233bobo$218bobo$357bo$278bo77b3o$30bo246b3o$29b3o2$
554bo$553b3o3$121bo315bo$120b3o77bo235b3o$199b3o5$b2o370bo$2o292bo77b
3o$b2o43bo246b3o$45b3o2$570bo$569b3o3$137bo251bo63bo$136b3o77bo93bo76b
o64b3o$215b3o90bo$387b2o$308b2o2$413bo15bo15bo15bo15bo15bo15bo15bo15bo
15bo15bo$b2o331bo15bo15bo15bo8b2o5bo13bobo13bobo13bobo13bobo13bobo13bo
bo13bobo13bobo13bobo13bobo13bobo$2o61bo15bo15bo15bo15bo15bo15bo15bo15b
o15bo15bo15bo15bo15bo15bo15bo8b2o5bo13bobo13bobo13bobo13bobo13bobo11bo
bobo11bobobo11bobobo11bobobo11bobobo11bobobo11bobobo11bobobo11bobobo
11bobobo11bobobo$b2o59bo15bo15bo15bo15bo15bo10bo4bo15bo15bo15bo15bo15b
o15bo15bo15bo15bo15bo13bobo13bobo13bobo13bobo9bo3bobo11bobobo11bobobo
11bobobo11bobobo6bo4bobobo11bobobo11bobobo11bobobo11bobobo11bobobo11bo
bobo$5bo7b2o140bo17bo15bo15bo15bo10bo4bo15bo15bo15bo15bo11bo3bo13bobo
13bobo13bobo13bobo8bo4bobo13bobo13bobo13bobo13bobo9bo3bobo11bobobo11bo
bobo11bobobo11bobobo11bobobo11bobobo$4bo4bobo3bo218bo17bo15bo15bo15bo
10bo4bo15bo15bo15bo15bo15bo15bo15bo15bo15bo15bo13bobo13bobo13bobo13bob
o13bobo13bobo$8b2o4bobo137b2o314b2o19bo15bo15bo15bo15bo15bo$7bo7bo217b
2o$8b2obob2o$9bobobo$150b2o314b2o$229b2o$9bobobo136bo222b3o90bo$8b2obo
b2o137bo76bo64b3o77bo93bo$7bo7bo215bo63bo$8b2o4bobo$4bo4bobo3bo$5bo7b
2o31b3o$b2o44bo$2o$b2o$135b3o313b3o$136bo77b3o235bo$215bo5$357b3o$278b
3o77bo$279bo3$30b3o$31bo3$119b3o313b3o$120bo77b3o235bo$199bo$376bobo$
297bobo27b2o48b3o$248b2o48b3o25b2o48bobo$51bobo193b2o48bobo27b2o50bobo
4bo$2b2o48b3o193b2o50bobo4bo23bobo7b3o36bo3b2o5bo$b2o48bobo3b3o192bobo
7b3o36bo3b2o5bo17bobo9bo41b2o4bobo$2b2o8bo4bo36bo5bo190bobo9bo41b2o4bo
bo17bo51bobo2bo2bo$6bo4b3o41b2o2b2o3bo75bobo109bo51bobo2bo2bo71b3ob3o
65bobo$5bo4bobob2o40bobo4bobo25b2o48b3o75bobo83b3ob3o72b3ob3o16b2o48b
3o$10b2o45bo4bobo25b2o48bobo3b3o21b2o48b3o82b3ob3o74bobo17b2o48bobo3b
3o$11bo51bo27b2o8bo4bo36bo5bo19b2o48bobo3b3o79bobo31bo65b2o8bo4bo36bo
5bo$12b2o81bo4b3o41b2o2b2o3bo16b2o8bo4bo36bo5bo33bo77b3o68bo4b3o41b2o
2b2o3bo$13b2o79bo4bobob2o40bobo4bobo19bo4b3o41b2o2b2o3bo28b3o75b2obo
12b3o13b3o13b3o20bo4bobob2o40bobo4bobo$99b2o45bo4bobo19bo4bobob2o40bob
o4bobo26b2obo12b3o13b3o13b3o104b2o45bo4bobo$11bo17bo15bo15bo38bo51bo
25b2o45bo4bobo99bo4bobo9bo15bo50bo51bo$14bo2b2o82b2o76bo51bo21bo4bobo
9bo15bo44bobo5bo77b2o$14b2obo11bo15bo15bo40b2o76b2o70bobo5bo69bobobo4b
o9bo15bo52b2o$13b3obo163b2o68bobobo4bo9bo15bo44b2ob2o$6bo5b2obo5b3o13b
3o60bo17bo15bo15bo101b2ob2o70b2o4bo82bo17bo15bo15bo$5bobo5b2o88bo2b2o
71bo17bo15bo15bo18b2o4bo71b2o39bo51bo2b2o$6bobo5bo88b2obo11bo15bo15bo
31bo2b2o60b2o39bo38b2o32bo4bobo50b2obo11bo15bo15bo$2b2o98b3obo75b2obo
11bo15bo15bo18b2o32bo4bobo70bobo4bobo4bobo41b3obo$b2o37bo54bo5b2obo5b
3o13b3o52b3obo95bobo4bobo4bobo61bobobo4bo42bo5b2obo5b3o13b3o$2b2o35bob
o6bo45bobo5b2o70bo5b2obo5b3o13b3o72bobobo4bo70b2ob2o45bobo5b2o$35bo4bo
bo5bo46bobo5bo69bobo5b2o98b2ob2o70b2o4bo48bobo5bo$34bobo4bo6bo42b2o81b
obo5bo94b2o4bo71b2o50b2o$35bobo52b2o37bo40b2o104b2o78b2o48b2o37bo$31b
2o58b2o35bobo6bo31b2o37bo68b2o128b2o35bobo6bo$30b2o92bo4bobo5bo32b2o
35bobo6bo223bo4bobo5bo$31b2o90bobo4bo6bo65bo4bobo5bo222bobo4bo6bo$124b
obo75bobo4bo6bo223bobo$120b2o81bobo230b2o$119b2o78b2o234b2o$120b2o76b
2o236b2o$199b2o!

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