A spaceship in Langtons Ant!?

For discussion of other cellular automata.
User avatar
Saka
Posts: 3405
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

A spaceship in Langtons Ant!?

Post by Saka » July 9th, 2015, 2:50 am

I found a small spaceship in langtons ant that travels at 2c/12, it's simply a block of white ants, here is the rle, and by the way I don't know if this has been discovered:

Code: Select all

x = 2, y = 2, rule = Langtons-Ant
2G$2G!

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

User avatar
Tim Hutton
Posts: 64
Joined: May 20th, 2010, 7:30 am
Contact:

Re: A spaceship in Langtons Ant!?

Post by Tim Hutton » July 9th, 2015, 7:16 pm

Cute!

Related: This turmite makes a period 68 glider:

Code: Select all

{{{0,2,1},{0,8,0}},{{1,8,1},{1,4,0}}}

User avatar
Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

Re: A spaceship in Langtons Ant!?

Post by Kiran » July 9th, 2015, 7:47 pm

Code: Select all

x = 7, y = 2, rule = Langtons-Ant
2G4.A$2G!
Kiran Linsuain

User avatar
Saka
Posts: 3405
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

Re: A spaceship in Langtons Ant!?

Post by Saka » July 9th, 2015, 10:00 pm

Tim Hutton wrote:Cute!

Related: This turmite makes a period 68 glider:

Code: Select all

{{{0,2,1},{0,8,0}},{{1,8,1},{1,4,0}}}
How do I use the turmite in golly? I use golly 2.6
Tim Hutton is alive? Nice!!

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

User avatar
gmc_nxtman
Posts: 1149
Joined: May 26th, 2015, 7:20 pm

Re: A spaceship in Langtons Ant!?

Post by gmc_nxtman » July 9th, 2015, 10:01 pm

Scripts > Python > Rule-generators > Turmite-gen.py > Paste it in and press enter

User avatar
Saka
Posts: 3405
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

Re: A spaceship in Langtons Ant!?

Post by Saka » July 9th, 2015, 10:04 pm

gmc_nxtman wrote:Scripts > Python > Rule-generators > Turmite-gen.py > Paste it in and press enter
Thanks!


That was fast

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

User avatar
gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Re: A spaceship in Langtons Ant!?

Post by gameoflifeboy » July 14th, 2015, 10:42 pm

Colliding this with a triomino produces a C/12 spaceship:

Code: Select all

x = 13, y = 2, rule = Langtons-Ant
2B$2B8.3A!
And colliding that with another triomino produces the original spaceship, so you can create a shuttle:

Code: Select all

x = 38, y = 2, rule = Langtons-Ant
25.2B$3A22.2B8.3A!

User avatar
Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

Re: A spaceship in Langtons Ant!?

Post by Kiran » July 15th, 2015, 11:27 pm

so you can create a shuttle:
A simpler shuttle:

Code: Select all

x = 8, y = 2, rule = Langtons-Ant
3.2B$A2.2B2.A!
Can be extended if parity is not changed, works even if contracted enough for interaction with other reflector.
Kiran Linsuain

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

Re: A spaceship in Langtons Ant!?

Post by M. I. Wright » July 16th, 2015, 1:52 am

Faster recovery time:

Code: Select all

x = 16, y = 5, rule = Langtons-Ant
A$7.2B$7.2B2$15.A!
Two different reactions:

Code: Select all

x = 13, y = 2, rule = Langtons-Ant
A7.2B2.A$8.2B!
There's also this thing - the spaceship can "run over" a set of two black cells in the right phase:

Code: Select all

x = 27, y = 11, rule = Langtons-Ant
3.AF$2.2AD11.A$2.AB.A10.A$3.2AD4$A7.B17.A$7.ABA3.A$7.A.H3.A$9.D!
(side note: this

Code: Select all

x = 13, y = 3, rule = Langtons-Ant
8.2D$8.2D$A11.A!
also works. Found by accident.)
gamer54657 wrote:God save us all.
God save humanity.

hgkhjfgh
nutshelltlifeDiscord 'Conwaylife Lounge'

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Re: A spaceship in Langtons Ant!?

Post by knightlife » July 18th, 2015, 11:44 pm

A diagonal line "runs over" a domino:

Code: Select all

x = 28, y = 11, rule = Langtons-Ant
2A8$13.2D$13.2D$5.A21.A!
Pattern recovers from stray dot collision sometimes:

Code: Select all

x = 42, y = 100, rule = Langtons-Ant
12.A8$8.2D$8.2D$A31.A47$A3$13.2D$13.2D$5.A19.A27$A8$13.2D$13.2D$5.A
35.A!
EDIT:
more complex recovery:

Code: Select all

x = 32, y = 15, rule = Langtons-Ant
18.2A$2A17.2A$4.2A$3.2A9$17.2D$17.2D$9.A21.A!

User avatar
Saka
Posts: 3405
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

Re: A spaceship in Langtons Ant!?

Post by Saka » July 19th, 2015, 6:59 am

Ok! Let's find:
a. A gun
b. A diagonal spaceship
c. A 90-degree reflector
Here is the best I have for the 90-degree reflector:

Code: Select all

x = 11, y = 2, rule = Langtons-Ant
2G6.3A$2G6.2A!


Or just more really slow spaceships

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

User avatar
Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

Re: A spaceship in Langtons Ant!?

Post by Kiran » July 19th, 2015, 9:52 am

a. A gun
This is impossible because more ants cannot be generated.
Kiran Linsuain

User avatar
dvgrn
Moderator
Posts: 6725
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
Contact:

Re: A spaceship in Langtons Ant!?

Post by dvgrn » July 19th, 2015, 11:10 am

Kiran wrote:
a. A gun
This is impossible because more ants cannot be generated.
Mind you, multiple ants is already a little bit strange -- the original 2D Turing Machine concept was exactly one spot of activity in an infinite area. Quite a bit of work has been done over the years with multiple TMs acting in parallel, but it wasn't the main point of Langton's Ant.

Multiple ants aren't really implemented correctly in the Golly rule, because of limitations in the rule-table format. Technically it would be necessary to define many new states for superpositions of two ants, and exponentially more states for superpositions of three ants. It wouldn't take very many overlapping ants to overflow Golly's 255-state limit.

Golly's current method of simulating Langton's Ant works perfectly as long as there is only one ant, or if two or more ants never end up on the same cell at the same time (e.g., if they start on different color squares). As soon as two ants try to step onto the same cell, though, they both die off.

It's certainly possible to invent a modified Golly-compatible Langton's Ant that does something else in the collision case, that might even allow for the possibility of a gun. For example, two ants stepping onto the same square might make a "nest" state, out of which several ants would appear on the next tick. Unfortunately there are a lot of arbitrary details to sort out -- which directions do the new ants travel? Will there be three or four of them?

It would probably be interesting to experiment with, but it probably shouldn't be called "Langton's-Ant" any more. Even the current rule shouldn't really be called "Langton's-Ant" for patterns where two or more ants collide, because it doesn't behave according to the original multi-ant specification.

User avatar
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: A spaceship in Langtons Ant!?

Post by drc » March 30th, 2017, 10:03 pm

What have I done:

Code: Select all

x = 5, y = 3, rule = Langtons-Ant
2B$2B$4.A!
\100\97\110\105

User avatar
Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

Re: A spaceship in Langtons Ant!?

Post by Rhombic » April 9th, 2017, 6:49 am

This pattern has a very weird growth (I think it is x^1/2)

Code: Select all

x = 2, y = 6, rule = Langtons-Ant
D2$2A$2A2$B!
Pop:

Code: Select all

x = 537, y = 536, rule = Langtons-Ant
251.A3.A.A3.A.5A2.3A2.5A.A5.5A.4A$251.A3.A.2A2.A3.A5.A5.A3.A5.A5.A3.A
$251.A3.A.A.A.A3.A5.A5.A3.A5.A5.A3.A$251.A3.A.A2.2A3.A5.A5.A3.A5.3A3.
A3.A$251.A3.A.A3.A3.A5.A5.A3.A5.A5.A3.A$251.A3.A.A3.A3.A5.A5.A3.A5.A
5.A3.A$252.3A2.A3.A3.A4.3A4.A3.5A.5A.4A8$.A4.3A5.A$2A3.A3.A3.2A$.A7.A
2.A.A$.A5.2A2.A2.A10.A483.A$.A7.A.5A9.A483.A$.A3.A3.A4.A10.A483.A$3A
3.3A5.A10.A483.A$25.A483.A$25.A483.A$25.A483.A$25.A483.A$25.A483.A$
25.A483.A$25.A483.A$25.A483.A$25.A483.A$25.A483.A$25.A483.A$25.A483.A
$25.A483.3A10.A$25.A483.3A10.A$25.A483.3A10.A$25.A483.3A10.A$25.A483.
3A10.A$25.A482.2A.A9.2A$25.A482.2A.A9.2A$25.A482.2A.A9.2A$25.A459.25A
.6A4.2A$25.A459.24A7.A4.2A$25.A459.24A7.A4.2A$25.A459.24A7.A4.2A$25.A
459.24A7.A4.2A$25.A459.24A7.A4.2A$25.A459.24A7.A4.2A$25.A459.24A7.A4.
2A$25.A415.A43.24A7.7A$25.A415.A43.24A12.2A$25.A415.A43.24A12.2A$25.A
415.A43.24A12.2A$25.A415.A43.24A12.2A$25.A415.A43.24A12.2A$25.A415.A
43.24A12.2A$25.A415.A43.24A12.2A$25.A415.A43.24A12.5A$25.A415.A43.24A
13.4A$25.A415.A43.24A13.3A$25.A415.A43.24A13.3A$25.A415.A43.24A13.3A$
25.A415.A43.24A13.3A$25.A415.A43.24A13.3A$25.A415.3A9.A7.48A13.3A$25.
A415.3A9.A7.25A36.3A$25.A415.3A9.A7.25A36.3A$25.A415.3A9.A7.25A36.3A$
25.A415.3A9.A7.25A36.3A$25.A414.2A.A9.A7.25A36.3A$25.A414.2A.A9.A7.
25A36.3A$25.A414.2A.A9.A7.25A36.3A$25.A393.23A.6A4.A7.25A36.3A$25.A
393.22A7.A4.A7.25A36.3A$25.A393.22A7.A4.A7.25A36.3A$25.A393.22A7.A4.A
7.25A36.3A$25.A393.22A7.A4.A7.25A36.3A$25.A393.22A7.A4.A7.25A36.3A$
25.A393.22A7.A4.A7.25A36.3A$25.A393.22A7.A4.A7.25A36.3A$25.A352.A40.
22A7.6A7.25A36.3A$25.A352.A40.22A11.2A7.25A$25.A352.A40.22A11.2A7.25A
$25.A352.A40.22A11.2A7.25A$25.A352.A40.22A11.2A7.25A$25.A351.2A40.22A
11.2A6.25A$25.A351.2A40.22A11.2A6.25A$25.A351.2A40.22A11.2A6.25A$25.A
351.2A40.22A11.33A$25.A351.2A40.22A12.8A$25.A351.2A40.22A12.8A$25.A
351.2A40.22A12.8A$25.A351.2A40.22A12.8A$25.A351.2A40.22A12.3A.4A$25.A
351.2A40.22A12.3A.4A$25.A351.2A40.22A12.3A.4A$25.A351.4A8.A7.44A12.3A
.4A$25.A351.4A8.A7.23A33.3A.4A$25.A351.4A8.A7.23A33.3A.4A$25.A351.4A
8.A7.23A33.3A.4A$25.A351.4A8.A7.23A34.2A2.3A$25.A351.2A.A8.A7.23A34.
2A2.3A$25.A351.2A.A8.A7.23A34.2A2.3A$25.A332.21A.5A4.A7.23A34.2A2.3A$
25.A332.20A6.A4.A7.23A34.2A2.3A$25.A332.20A6.A4.A7.23A34.2A2.3A$25.A
332.20A6.A4.A7.23A34.2A2.3A$25.A332.20A6.A4.A7.23A34.2A2.3A$25.A332.
20A6.A4.A7.23A34.2A2.3A$25.A332.20A6.A4.A7.23A34.2A2.3A$25.A332.20A6.
A4.A7.23A34.2A2.3A$25.A293.A38.20A6.6A7.23A34.2A2.3A$25.A293.A38.20A
10.2A7.23A$25.A293.A38.20A10.2A7.23A$25.A293.A38.20A10.2A7.23A$25.A
293.A38.20A10.2A7.23A$25.A293.A38.20A10.2A6.23A$25.A293.A38.20A10.2A
6.23A$25.A293.A38.20A10.2A6.23A$25.A293.A38.20A10.31A$25.A293.A38.20A
11.8A$25.A293.A38.20A11.8A$25.A293.A38.20A11.8A$25.A293.A38.20A11.8A$
25.A293.A38.20A11.3A.4A$25.A293.A38.20A11.3A.4A$25.A293.A38.20A11.3A.
4A$25.A293.3A8.A7.40A11.3A.4A$25.A293.3A8.A7.21A30.3A.4A$25.A293.3A8.
A7.21A30.3A.4A$25.A293.3A8.A7.21A30.3A.4A$25.A293.3A8.A7.21A31.2A2.3A
$25.A293.3A7.2A6.21A32.2A2.3A$25.A293.3A7.2A6.21A32.2A2.3A$25.A293.3A
7.2A6.21A32.2A2.3A$25.A276.24A3.2A6.21A32.2A2.3A$25.A276.18A5.A3.2A6.
21A32.2A2.3A$25.A276.18A5.A3.2A6.21A32.2A2.3A$25.A276.18A5.A3.2A6.21A
32.2A2.3A$25.A276.18A5.A3.2A6.21A32.2A2.3A$25.A276.18A5.A3.2A6.21A32.
2A2.3A$25.A276.18A5.A3.2A6.21A32.2A2.3A$25.A240.A35.18A5.6A6.21A32.2A
2.3A$25.A240.A35.18A9.2A6.21A$25.A240.A35.18A9.2A6.21A$25.A240.A35.
18A9.2A6.21A$25.A240.A35.18A9.2A6.21A$25.A239.2A34.18A10.2A6.21A$25.A
239.2A34.18A10.2A6.21A$25.A239.2A34.18A10.2A6.21A$25.A239.2A34.18A10.
29A$25.A239.2A34.18A11.8A$25.A239.2A34.18A11.8A$25.A239.2A34.18A11.8A
$25.A239.2A34.18A11.8A$25.A239.2A34.18A11.3A.4A$25.A239.2A34.18A11.3A
.4A$25.A239.2A34.18A11.3A.4A$25.A239.4A6.A7.36A11.3A.4A$25.A239.4A6.A
7.19A28.3A.4A$25.A239.4A6.A7.19A28.3A.4A$25.A239.4A6.A7.19A28.3A.4A$
25.A239.4A6.A7.19A28.3A.4A$25.A239.2A.A6.A7.19A28.3A.4A$25.A239.2A.A
6.A7.19A28.3A.4A$25.A239.2A.A6.A7.19A28.3A.4A$25.A224.17A.4A3.A7.19A
28.3A.4A$25.A224.16A5.A3.A7.19A28.3A.4A$25.A224.16A5.A3.A7.19A28.3A.
4A$25.A224.16A5.A3.A7.19A28.3A.4A$25.A224.16A5.A3.A7.19A28.3A.4A$25.A
224.16A5.A3.A7.19A28.3A.4A$25.A224.16A5.A3.A7.19A28.3A.4A$25.A224.16A
5.A3.A7.19A28.3A.4A$25.A191.A32.16A5.5A7.19A28.3A.4A$25.A191.A32.16A
8.2A7.19A$25.A191.A32.16A8.2A7.19A$25.A191.A32.16A8.2A7.19A$25.A191.A
32.16A9.2A6.19A$25.A191.A32.16A9.2A6.19A$25.A191.A32.16A9.2A6.19A$25.
A191.A32.16A9.2A6.19A$25.A191.A32.16A9.27A$25.A191.A32.16A10.8A$25.A
191.A32.16A10.8A$25.A191.A32.16A10.8A$25.A191.A32.16A10.3A.4A$25.A
191.A32.16A10.3A.4A$25.A191.A32.16A10.3A.4A$25.A191.3A6.A7.32A10.3A.
4A$25.A191.3A6.A7.17A25.3A.4A$25.A191.3A6.A7.17A25.3A.4A$25.A191.3A6.
A7.17A25.3A.4A$25.A191.3A6.A7.17A25.3A.4A$25.A190.2A.A5.2A6.17A26.2A
2.3A$25.A190.2A.A5.2A6.17A26.2A2.3A$25.A190.2A.A5.2A6.17A26.2A2.3A$
25.A177.15A.4A2.2A6.17A26.2A2.3A$25.A177.14A5.A2.2A6.17A26.2A2.3A$25.
A177.14A5.A2.2A6.17A26.2A2.3A$25.A177.14A5.A2.2A6.17A26.2A2.3A$25.A
177.14A5.A2.2A6.17A26.2A2.3A$25.A177.14A5.A2.2A6.17A26.2A2.3A$25.A
177.14A5.A2.2A6.17A26.2A2.3A$25.A177.14A5.A2.2A6.17A26.2A2.3A$25.A
147.A29.14A5.5A6.17A26.2A2.3A$25.A147.A29.14A8.2A6.17A$25.A147.A29.
14A8.2A6.17A$25.A147.A29.14A8.2A6.17A$25.A147.A29.14A8.2A6.17A$25.A
147.A29.14A8.2A6.17A$25.A147.A29.14A8.2A6.17A$25.A147.A29.14A8.2A6.
17A$25.A147.A29.14A8.25A$25.A147.A29.14A9.8A$25.A147.A29.14A9.8A$25.A
147.A29.14A9.8A$25.A147.A29.14A9.8A$25.A147.A29.14A9.3A.4A$25.A147.A
29.14A9.3A.4A$25.A147.A29.14A9.3A.4A$25.A147.3A5.A7.28A9.3A.4A$25.A
147.3A5.A7.15A22.3A.4A$25.A147.3A5.A7.15A22.3A.4A$25.A147.3A5.A7.15A
22.3A.4A$25.A146.4A5.A7.15A22.3A.4A$25.A146.2A.A5.A7.15A22.3A.4A$25.A
146.2A.A5.A7.15A22.3A.4A$25.A135.13A.4A2.A7.15A22.3A.4A$25.A135.12A5.
A2.A7.15A22.3A.4A$25.A135.12A5.A2.A7.15A22.3A.4A$25.A135.12A5.A2.A7.
15A22.3A.4A$25.A135.12A5.A2.A7.15A22.3A.4A$25.A135.12A5.A2.A7.15A22.
3A.4A$25.A135.12A5.A2.A7.15A22.3A.4A$25.A135.12A5.A2.A7.15A22.3A.4A$
25.A108.A26.12A5.4A7.15A22.3A.4A$25.A108.A26.12A7.2A7.15A$8.7A10.A
108.A26.12A7.2A7.15A$11.A13.A108.A26.12A7.2A7.15A$10.A14.A108.A26.12A
7.2A7.15A$9.A15.A107.2A26.12A7.2A6.15A$8.7A10.A107.2A26.12A7.2A6.15A$
25.A107.2A26.12A7.2A6.15A$9.5A11.A107.2A26.12A7.23A$8.A5.A10.A107.2A
26.12A8.8A$8.A5.A10.A107.2A26.12A8.8A$8.A5.A10.A107.2A26.12A8.8A$9.5A
11.A107.2A26.12A8.8A$25.A107.2A26.12A8.3A.4A$25.A107.2A26.12A8.3A.4A$
8.A5.A10.A107.2A26.12A8.3A.4A$8.7A10.A107.4A4.A7.24A8.3A.4A$8.A5.A10.
A107.4A4.A7.13A19.3A.4A$25.A107.4A4.A7.13A19.3A.4A$25.A107.4A4.A7.13A
19.3A.4A$8.A16.A107.4A4.A7.13A20.2A2.3A$8.A16.A107.2A.A4.A7.13A20.2A
2.3A$8.7A10.A107.2A.A4.A7.13A20.2A2.3A$8.A16.A107.2A.A4.A7.13A20.2A2.
3A$8.A16.A98.11A.3A2.A7.13A20.2A2.3A$25.A98.10A4.A2.A7.13A20.2A2.3A$
9.6A10.A98.10A4.A2.A7.13A20.2A2.3A$8.A2.A13.A98.10A4.A2.A7.13A20.2A2.
3A$8.A2.A13.A98.10A4.A2.A7.13A20.2A2.3A$8.A2.A13.A98.10A4.A2.A7.13A
20.2A2.3A$9.6A10.A98.10A4.A2.A7.13A20.2A2.3A$25.A73.A24.10A4.4A7.13A
20.2A2.3A$14.A10.A73.A24.10A6.2A7.13A$14.A10.A73.A24.10A6.2A7.13A$14.
A10.A73.A24.10A6.2A7.13A$14.A10.A73.A24.10A6.2A7.13A$8.7A10.A73.A24.
10A6.2A6.13A$25.A73.A24.10A6.2A6.13A$8.6A11.A73.A24.10A6.2A6.13A$14.A
10.A73.A24.10A6.21A$14.A10.A73.A24.10A7.8A$14.A10.A73.A24.10A7.8A$8.
6A11.A73.A24.10A7.8A$25.A73.A24.10A7.8A$9.2A14.A73.A24.10A7.3A.4A$8.A
2.A13.A73.A24.10A7.3A.4A$8.A2.A13.A73.A24.10A7.3A.4A$8.A2.A13.A73.3A
4.A7.20A7.3A.4A$8.7A10.A73.3A4.A7.11A16.3A.4A$25.A73.3A4.A7.11A16.3A.
4A$9.5A11.A73.3A4.A7.11A16.3A.4A$8.A5.A10.A73.3A4.A7.11A17.2A2.3A$8.A
5.A10.A73.3A3.2A6.11A18.2A2.3A$8.A5.A10.A73.3A3.2A6.11A18.2A2.3A$9.5A
11.A73.3A3.2A6.11A18.2A2.3A$25.A66.12A.2A6.11A18.2A2.3A$9.2A14.A66.8A
3.A.2A6.11A18.2A2.3A$8.A2.A13.A66.8A3.A.2A6.11A18.2A2.3A$8.A2.A13.A
66.8A3.A.2A6.11A18.2A2.3A$8.A2.A13.A66.8A3.A.2A6.11A18.2A2.3A$8.7A10.
A66.8A3.A.2A6.11A18.2A2.3A$25.A66.8A3.A.2A6.11A18.2A2.3A$25.A66.8A3.A
.2A6.11A18.2A2.3A$25.A44.A21.8A3.4A6.11A18.2A2.3A$25.A44.A21.8A5.2A6.
11A$25.A44.A21.8A5.2A6.11A$25.A44.A21.8A5.2A6.11A$25.A44.A21.8A5.2A6.
11A$25.A43.2A20.8A6.2A6.11A$25.A43.2A20.8A6.2A6.11A$25.A43.2A20.8A6.
2A6.11A$25.A43.2A20.8A6.19A$25.A43.2A20.8A7.8A$25.A43.2A20.8A7.8A$25.
A43.2A20.8A7.8A$25.A43.2A20.8A7.3A.4A$25.A43.2A20.8A7.3A.4A$25.A43.2A
20.8A7.3A.4A$25.A43.4A2.A7.16A7.3A.4A$25.A43.4A2.A7.9A14.3A.4A$25.A
43.4A2.A7.9A14.3A.4A$25.A43.4A2.A7.9A14.3A.4A$25.A43.4A2.A7.9A14.3A.
4A$25.A43.2A.A2.A7.9A14.3A.4A$25.A43.2A.A2.A7.9A14.3A.4A$25.A43.2A.A
2.A7.9A14.3A.4A$25.A38.7A.2A.A7.9A14.3A.4A$25.A38.6A3.A.A7.9A14.3A.4A
$25.A38.6A3.A.A7.9A14.3A.4A$25.A38.6A3.A.A7.9A14.3A.4A$25.A38.6A3.A.A
7.9A14.3A.4A$25.A38.6A3.A.A7.9A14.3A.4A$25.A38.6A3.A.A7.9A14.3A.4A$
25.A38.6A3.A.A7.9A14.3A.4A$25.A19.A18.6A3.3A7.9A14.3A.4A$25.A19.A18.
6A4.2A7.9A$25.A19.A18.6A4.2A7.9A$25.A19.A18.6A4.2A7.9A$25.A19.A18.6A
5.2A6.9A$25.A19.A18.6A5.2A6.9A$25.A19.A18.6A5.2A6.9A$25.A19.A18.6A5.
2A6.9A$25.A19.A18.6A5.17A$25.A19.A18.6A6.8A$25.A19.A18.6A6.8A$25.A19.
A18.6A6.8A$25.A19.A18.6A6.8A$25.A19.A18.6A6.3A.4A$25.A19.A18.6A6.3A.
4A$25.A19.A18.6A6.3A.4A$25.A19.3A2.A7.12A6.3A.4A$25.A19.3A2.A7.7A11.
3A.4A$25.A19.3A2.A7.7A11.3A.4A$25.A19.3A2.A7.7A11.3A.4A$25.A18.4A.2A
6.7A12.2A2.3A$25.A18.2A.A.2A6.7A12.2A2.3A$25.A18.2A.A.2A6.7A12.2A2.3A
$25.A15.5A.4A6.7A12.2A2.3A$25.A15.4A3.3A6.7A12.2A2.3A$25.A15.4A3.3A6.
7A12.2A2.3A$25.A15.4A3.3A6.7A12.2A2.3A$25.A15.4A3.3A6.7A12.2A2.3A$25.
A15.4A3.3A6.7A12.2A2.3A$25.A15.4A3.3A6.7A12.2A2.3A$25.A15.4A3.3A6.7A
12.2A2.3A$25.A15.4A3.3A6.7A12.2A2.3A$25.A15.4A4.2A6.7A$25.A15.4A4.2A
6.7A$25.A15.4A4.2A6.7A$25.A15.4A4.2A6.7A$25.A15.4A4.2A6.7A$25.A15.4A
4.2A6.7A$25.A15.4A4.2A6.7A$25.A15.4A4.15A$25.A15.4A5.8A$25.A15.4A5.8A
$25.A15.4A5.8A$25.A15.4A5.8A$25.A15.4A5.3A.4A$25.A15.4A5.3A.4A$25.A
15.4A5.3A.4A$25.A11.8A5.3A.4A$25.A11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A
11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A
11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A
11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A11.5A8.3A.4A$25.A
11.5A8.3A.4A$25.A11.5A$25.A11.5A$25.A11.5A$25.A11.5A$25.A10.5A$25.A
10.5A$25.A10.5A$25.A3.12A$25.A3.8A$25.A3.8A$25.A3.8A$25.A3.8A$25.A3.
3A.4A$25.A3.3A.4A$25.A3.3A.4A$25.A3.3A.4A$25.A3.3A.4A$25.A3.3A.4A$25.
A3.3A.4A$25.A3.3A2.3A$25.A3.3A2.3A$25.A3.3A2.3A$25.A3.3A2.3A$25.A3.3A
2.3A$25.A3.3A2.3A$25.A3.3A2.3A$25.A3.3A2.3A$25.A3.3A2.3A$25.A3.3A2.3A
$25.A3.3A2.3A$25.A3.3A2.3A$25.A.5A2.3A$25.A.4A$25.A.4A$25.A.4A$25.A.
2A.A$25.A.2A.A$25.A.2A.A$25.A.2A.A$25.A.2A.A$25.A.2A$25.A.2A$25.A.2A$
25.A.2A$25.A.2A$25.A.2A$25.A.2A$25.A.2A$25.A.2A$25.A.2A$25.A.2A$25.A.
2A$25.A.2A$25.A.2A$25.4A$25.3A$25.3A$25.3A$25.3A$25.3A$25.3A$25.3A$
25.3A$25.3A$25.3A$25.3A$25.3A$25.3A$25.3A$25.3A$25.3A$25.3A$25.3A$25.
3A$25.3A$25.3A$25.3A$25.3A$25.3A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$
25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A
$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.A$25.
A$25.A$25.A$25.A$25.A$25.A$25.A$11.3A11.A$10.A14.A$10.A14.A$10.4A11.A
$10.A3.A10.501A$10.A3.A$11.3A8$23.3A188.3A2.5A.A3.A.5A.4A3.3A2.5A2.3A
3.3A2.A3.A10.A33.3A4.A4.3A3.A179.5A2.3A3.3A3.3A$22.A3.A186.A3.A.A5.2A
2.A.A5.A3.A.A3.A3.A5.A3.A3.A.2A2.A9.A11.A21.A3.A2.A.A2.A3.A3.A178.A5.
A3.A.A3.A.A3.A$22.A2.2A186.A5.A5.A.A.A.A5.A3.A.A3.A3.A5.A3.A3.A.A.A.A
9.A4.4A.5A2.3A2.4A2.5A.A3.A.A3.A.A2.2A3.A178.A5.A2.2A.A2.2A.A2.2A$22.
A.A.A186.A2.2A.3A3.A2.2A.3A3.4A2.5A3.A5.A3.A3.A.A2.2A9.A3.A7.A3.A3.A.
A3.A8.3A8.A.A.A3.A179.3A2.A.A.A.A.A.A.A.A.A$22.2A2.A186.A3.A.A5.A3.A.
A5.A2.A2.A3.A3.A5.A3.A3.A.A3.A9.A4.3A4.A3.5A.A3.A.5A.A3.A7.2A2.A3.A
182.A.2A2.A.2A2.A.2A2.A$22.A3.A186.A3.A.A5.A3.A.A5.A3.A.A3.A3.A5.A3.A
3.A.A3.A9.A7.A3.A3.A5.A3.A7.A3.A7.A3.A3.A178.A3.A.A3.A.A3.A.A3.A$23.
3A188.3A2.5A.A3.A.5A.A3.A.A3.A3.A4.3A3.3A2.A3.A10.A2.4A5.2A2.4A.4A9.
3A9.3A3.A180.3A3.3A3.3A3.3A$303.A$303.A!
[[VIEWONLY]]
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Bullet51
Posts: 556
Joined: July 21st, 2014, 4:35 am

Re: A spaceship in Langtons Ant!?

Post by Bullet51 » April 9th, 2017, 8:17 am

Rhombic wrote:This pattern has a very weird growth
Equivalent to this pattern in terms of population growth:

Code: Select all

x = 1, y = 2, rule = Langtons-Ant
B$B!
Definitely x^(1/2).
Still drifting.

User avatar
gameoflifemaniac
Posts: 1028
Joined: January 22nd, 2017, 11:17 am
Location: There too

Re: A spaceship in Langtons Ant!?

Post by gameoflifemaniac » April 9th, 2017, 1:11 pm

Here's a much better population plot:

Code: Select all

x = 552, y = 536, rule = Langtons-Ant
257.A3.A.A3.A.5A2.3A2.5A.A5.5A.4A$257.A3.A.2A2.A3.A5.A5.A3.A5.A5.A3.A
$257.A3.A.A.A.A3.A5.A5.A3.A5.A5.A3.A$257.A3.A.A2.2A3.A5.A5.A3.A5.3A3.
A3.A$257.A3.A.A3.A3.A5.A5.A3.A5.A5.A3.A$257.A3.A.A3.A3.A5.A5.A3.A5.A
5.A3.A$258.3A2.A3.A3.A4.3A4.A3.5A.5A.4A8$.A4.3A5.A3.3A$2A3.A7.2A2.A$.
A3.A6.A.A2.A$.A3.4A2.A2.A2.4A10.A496.A$.A3.A3.A.5A.A3.A9.A496.A$.A3.A
3.A4.A2.A3.A9.A494.5A$3A3.3A5.A3.3A10.A491.A2.6A$31.A491.8A$31.A486.A
2.6A2.A$31.A486.A2.6A$31.A484.9A$31.A482.A.6A2.A$31.A482.6A$31.A477.A
2.5A2.A$31.A477.8A$31.A475.6A.A$31.A472.A2.6A.A$31.A472.7A$31.A467.A
2.6A2.A$31.A467.9A$31.A465.6A2.A$31.A462.A2.6A2.A$31.A461.8A$31.A458.
A2.5A2.A$31.A458.8A$31.A453.A2.6A.A$31.A453.A2.6A$31.A451.9A$31.A448.
A2.6A2.A$31.A448.7A$31.A444.A2.5A2.A$31.A444.A2.5A$31.A442.8A$31.A
439.A2.6A.A$31.A439.7A$31.A435.A.6A2.A$31.A435.8A$31.A433.5A2.A$31.A
430.A2.5A2.A$31.A428.8A$31.A425.A2.6A.A$31.A425.9A$31.A424.5A2.A$31.A
421.A2.5A2.A$31.A419.8A$31.A416.A2.6A.A$31.A416.9A$31.A412.A2.5A2.A$
31.A412.A2.5A$31.A410.8A$31.A408.A.6A.A$31.A408.6A$31.A403.A2.5A2.A$
31.A403.8A$31.A401.6A.A$31.A399.A.6A.A$31.A399.6A$31.A394.A2.5A2.A$
31.A394.8A$31.A393.5A.2A$31.A390.A2.5A.2A$31.A388.8A$31.A386.A.6A.A$
31.A386.8A$31.A381.A2.5A2.A$31.A381.A2.5A$31.A380.7A$31.A377.A2.5A.A$
31.A377.8A$31.A373.A.6A.A$31.A373.A.6A$31.A371.8A$31.A369.A.5A2.A$31.
A369.6A$31.A364.A2.5A2.A$31.A364.8A$31.A363.5A.A$31.A360.A2.5A.A$31.A
359.7A$31.A356.A2.5A.A$31.A356.8A$31.A354.6A.A$31.A352.A.6A.A$31.A
350.8A$31.A348.A.5A2.A$31.A348.7A$31.A344.A.5A2.A$31.A344.A.5A$31.A
342.8A$31.A340.A.5A2.A$31.A340.6A$31.A336.A.5A.2A$31.A336.A.5A$31.A
334.7A$31.A332.A.5A.A$31.A332.5A$31.A328.A.5A.A$31.A328.7A$31.A326.5A
.A$31.A324.A.5A.A$31.A322.7A$31.A320.A.5A.A$31.A320.7A$31.A316.A.5A.A
$31.A316.A.5A$31.A314.7A$31.A312.A.5A.A$31.A312.7A$31.A308.A.5A2.A$
31.A308.A.5A$31.A307.7A$31.A304.A2.4A2.A$31.A304.6A$31.A300.A2.5A.A$
31.A300.8A$31.A299.5A.A$31.A297.A.5A.A$31.A297.5A$31.A293.A.5A.A$31.A
293.7A$31.A291.5A.A$31.A289.A.5A.A$31.A288.7A$31.A285.A2.4A2.A$31.A
285.7A$31.A282.A.5A.A$31.A282.A.5A$31.A280.7A$31.A278.A.5A.A$31.A278.
5A$31.A274.A2.4A.A$31.A274.A2.4A$31.A273.7A$31.A271.A.5A.A$31.A271.5A
$31.A267.A.5A.A$31.A267.7A$31.A266.4A.A$31.A264.A.4A.A$31.A262.7A$31.
A260.A.5A.A$31.A260.7A$31.A259.4A.A$31.A256.A2.4A.A$31.A255.7A$31.A
253.A.5A.A$31.A253.7A$31.A249.A2.4A.A$31.A249.A2.4A$31.A248.7A$31.A
246.A.5A.A$31.A246.5A$31.A243.A.4A.A$31.A243.6A$31.A241.5A.A$31.A239.
A.5A.A$31.A239.5A$31.A236.A.4A.A$31.A236.6A$31.A234.5A.A$31.A232.A.5A
.A$31.A231.6A$31.A229.A.4A.A$31.A229.6A$31.A226.A.4A.A$31.A226.A.4A$
31.A224.7A$31.A222.A.5A.A$31.A222.7A$31.A219.A.4A.A$31.A219.A.4A$31.A
218.6A$31.A216.A.4A.A$31.A216.5A$31.A213.A.4A.A$31.A213.6A$31.A211.5A
.A$31.A210.6A.A$31.A208.6A$31.A206.A.4A.A$31.A206.6A$31.A205.4A.A$31.
A203.A.4A.A$31.A202.6A$31.A200.A.4A.A$31.A200.6A$31.A197.A.4A.A$31.A
197.A.4A$31.A196.6A$31.A194.A.4A.A$31.A194.5A$31.A191.A.4A.A$31.A191.
A.4A$31.A190.5A$31.A188.A.5A$31.A188.4A$31.A185.A.5A$31.A185.6A$31.A
184.5A$31.A182.A.5A$31.A181.5A$31.A179.A.5A$31.A179.6A$31.A176.A.5A$
31.A176.A.4A$31.A175.5A$31.A173.A.5A$31.A173.6A$31.A170.A.6A$31.A170.
A.4A$31.A169.6A$31.A167.A.4A.A$31.A167.5A$31.A164.A.4A.A$31.A164.6A$
31.A163.4A.A$31.A162.5A.A$31.A162.4A$31.A159.A.3A.A$31.A159.5A$31.A
158.5A$31.A156.A.5A$31.A155.5A$31.A153.A.5A$31.A153.6A$14.7A10.A151.
5A.A$17.A13.A151.5A$16.A14.A150.5A$15.A15.A148.A.3A.A$14.7A10.A148.4A
$31.A145.A.5A$15.5A11.A145.A.4A$14.A5.A10.A144.5A$14.A5.A10.A143.6A$
14.A5.A10.A143.4A$15.5A11.A140.A.3A.A$31.A140.5A$31.A139.5A$14.A5.A
10.A137.A.5A$14.7A10.A136.6A$14.A5.A10.A135.7A$31.A135.5A$31.A134.3A.
A$14.A16.A132.A.3A.A$14.A16.A131.5A$14.7A10.A130.6A$14.A16.A130.5A$
14.A16.A127.A.3A.A$31.A127.A.3A$15.6A10.A126.5A$14.A2.A13.A125.6A$14.
A2.A13.A125.4A$14.A2.A13.A122.A.3A.A$15.6A10.A122.5A$31.A121.5A$20.A
10.A120.6A$20.A10.A120.4A$20.A10.A118.4A.A$20.A10.A118.4A$14.7A10.A
117.4A$31.A115.A.4A$14.6A11.A114.5A$20.A10.A113.6A$20.A10.A113.5A$20.
A10.A110.A.3A.A$14.6A11.A110.A.3A$31.A110.4A$15.2A14.A108.A.4A$14.A2.
A13.A108.5A$14.A2.A13.A106.6A$14.A2.A13.A106.5A$14.7A10.A105.5A$31.A
104.4A.A$15.5A11.A104.3A$14.A5.A10.A101.A.4A$14.A5.A10.A101.5A$14.A5.
A10.A100.5A$15.5A11.A99.6A$31.A98.5A$15.2A14.A97.4A.A$14.A2.A13.A97.
4A$14.A2.A13.A96.3A.A$14.A2.A13.A95.4A.A$14.7A10.A94.4A$31.A93.5A$31.
A93.4A$31.A91.5A$31.A91.4A$31.A90.4A$31.A88.A.4A$31.A88.4A$31.A86.A.
4A$31.A86.A.3A$31.A86.4A$31.A84.A.4A$31.A84.4A$31.A82.A.4A$31.A82.5A$
31.A82.4A$31.A80.A.4A$31.A80.4A$31.A78.A.4A$31.A78.5A$31.A76.A.4A$31.
A76.A.3A$31.A76.4A$31.A75.5A$31.A75.4A$31.A73.5A$31.A73.4A$31.A72.4A$
31.A71.5A$31.A71.3A$31.A69.5A$31.A69.4A$31.A68.4A$31.A67.5A$31.A67.3A
$31.A65.5A$31.A65.4A$31.A65.3A$31.A63.A.3A$31.A63.4A$31.A62.5A$31.A
62.4A$31.A60.5A$31.A60.4A$31.A59.4A$31.A58.5A$31.A58.3A$31.A57.4A$31.
A57.3A$31.A56.4A$31.A55.5A$31.A55.3A$31.A53.5A$31.A53.4A$31.A53.3A$
31.A52.4A$31.A51.4A$31.A50.5A$31.A50.4A$31.A49.4A$31.A49.4A$31.A48.3A
$31.A47.4A$31.A47.3A$31.A45.5A$31.A45.4A$31.A45.3A$31.A44.4A$31.A44.
3A$31.A43.4A$31.A43.3A$31.A42.3A$31.A41.4A$31.A41.3A$31.A40.4A$31.A
40.3A$31.A39.3A$31.A38.4A$31.A38.3A$31.A37.4A$31.A37.3A$31.A36.4A$31.
A36.3A$31.A35.3A$31.A34.4A$31.A34.3A$31.A33.4A$31.A33.3A$31.A32.3A$
31.A32.3A$31.A32.2A$31.A30.4A$31.A30.3A$31.A30.3A$31.A29.4A$31.A29.3A
$31.A28.4A$31.A28.3A$31.A27.3A$31.A27.3A$31.A26.3A$31.A26.3A$31.A26.
2A$31.A24.4A$31.A24.3A$31.A24.3A$31.A23.4A$31.A23.3A$31.A22.4A$31.A
22.3A$31.A22.3A$31.A21.4A$31.A21.3A$31.A20.4A$31.A20.3A$31.A20.2A$31.
A19.3A$31.A19.2A$31.A18.3A$31.A18.3A$31.A17.3A$31.A17.3A$31.A17.2A$
31.A16.3A$31.A16.3A$31.A15.3A$31.A15.3A$31.A15.2A$31.A14.3A$31.A14.3A
$31.A14.3A$31.A14.2A$31.A13.3A$31.A13.3A$31.A13.2A$31.A12.3A$31.A12.
2A$31.A12.2A$31.A11.3A$31.A11.2A$31.A10.3A$31.A10.3A$31.A10.2A$31.A
10.2A$31.A9.3A$31.A9.3A$31.A9.2A$31.A8.3A$31.A8.2A$31.A8.2A$31.A8.2A$
31.A8.A$31.A7.2A$31.A7.2A$31.A7.2A$31.A6.3A$31.A6.2A$31.A6.2A$31.A6.
2A$31.A5.2A$31.A5.2A$31.A5.2A$31.A5.2A$31.A5.A$31.A4.2A$31.A4.2A$31.A
4.2A$31.A3.3A$31.A3.2A$31.A3.2A$31.A3.2A$31.A3.2A$31.A3.2A$31.A3.A$
31.A2.2A$31.A2.2A$31.A2.2A$31.A2.2A$31.A2.A$31.A.2A$31.A.2A$31.A.2A$
31.A.2A$31.A.A$31.A.A$31.A.A$31.3A$31.3A$31.3A$31.3A$31.2A$31.2A$31.
2A$31.2A$31.2A$31.2A$31.2A$31.2A$31.2A$31.2A$31.A$31.A$31.A$31.A$31.A
$31.A$31.A$31.A$31.A$31.A$31.A$31.A$31.A$31.A$31.A$31.A$31.A$17.3A11.
A$16.A14.A$16.A14.A$16.4A11.501A$16.A3.A$16.A3.A$17.3A7$30.3A187.3A2.
5A.A3.A.5A.4A3.3A2.5A2.3A3.3A2.A3.A10.A33.3A4.A4.3A3.A172.A4.3A3.3A3.
3A3.3A3.3A3.3A$29.A3.A185.A3.A.A5.2A2.A.A5.A3.A.A3.A3.A5.A3.A3.A.2A2.
A9.A11.A21.A3.A2.A.A2.A3.A3.A170.2A3.A3.A.A3.A.A3.A.A3.A.A3.A.A3.A$
29.A2.2A185.A5.A5.A.A.A.A5.A3.A.A3.A3.A5.A3.A3.A.A.A.A9.A4.4A.5A2.3A
2.4A2.5A.A3.A.A3.A.A2.2A3.A171.A3.A2.2A.A2.2A.A2.2A.A2.2A.A2.2A.A2.2A
$29.A.A.A185.A2.2A.3A3.A2.2A.3A3.4A2.5A3.A5.A3.A3.A.A2.2A9.A3.A7.A3.A
3.A.A3.A8.3A8.A.A.A3.A171.A3.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$29.
2A2.A185.A3.A.A5.A3.A.A5.A2.A2.A3.A3.A5.A3.A3.A.A3.A9.A4.3A4.A3.5A.A
3.A.5A.A3.A7.2A2.A3.A171.A3.2A2.A.2A2.A.2A2.A.2A2.A.2A2.A.2A2.A$29.A
3.A185.A3.A.A5.A3.A.A5.A3.A.A3.A3.A5.A3.A3.A.A3.A9.A7.A3.A3.A5.A3.A7.
A3.A7.A3.A3.A171.A3.A3.A.A3.A.A3.A.A3.A.A3.A.A3.A$30.3A187.3A2.5A.A3.
A.5A.A3.A.A3.A3.A4.3A3.3A2.A3.A10.A2.4A5.2A2.4A.4A9.3A9.3A3.A171.3A3.
3A3.3A3.3A3.3A3.3A3.3A$309.A$309.A!
I was so socially awkward in the past and it will haunt me for my entire life.

User avatar
gameoflifemaniac
Posts: 1028
Joined: January 22nd, 2017, 11:17 am
Location: There too

Re: A spaceship in Langtons Ant!?

Post by gameoflifemaniac » April 9th, 2017, 1:16 pm

Have I made a Langton's Wick?

Code: Select all

x = 32768, y = 1, rule = Langtons-Ant
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDB
DBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD
BDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBDBD!
I was so socially awkward in the past and it will haunt me for my entire life.

User avatar
Saka
Posts: 3405
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

Re: A spaceship in Langtons Ant!?

Post by Saka » April 10th, 2017, 5:13 am

Code: Select all

x = 46, y = 41, rule = Langtons-Ant
25.2A$24.A2.A$23.A4.F$22.A5.A$5.8A8.A7.A$5.3A4.A7.A9.A$5.2A.6A5.A11.A
$5.A3.2A.A5.A13.A$3.A2.A.3A2.A3.A15.A$2.A3.A.A5.A.A17.A$.A3.2A3.A4.A
19.A$A3.A.2A3.3A22.A$A4.A2.2A3.A23.A$.A3.A2.FA.3A24.A$2.A4.6A26.A$3.A
4.2A30.A$4.A2.2A32.A$5.3A34.A$6.A36.A$5.A38.A$5.A39.A$6.A38.A$7.A36.A
$8.A34.A$9.A32.A$10.A30.A$11.A28.A$12.A26.A$13.A24.A$14.A22.A$15.A20.
A$16.A18.A$17.A16.A$18.A14.A$19.A12.A$20.A10.A$21.A8.A$22.A6.A$23.A4.
A$24.A2.A$25.2A!

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

User avatar
Rhombic
Posts: 1064
Joined: June 1st, 2013, 5:41 pm

Re: A spaceship in Langtons Ant!?

Post by Rhombic » April 10th, 2017, 9:19 am

Saka wrote:

Code: Select all

x = 46, y = 41, rule = Langtons-Ant
25.2A$24.A2.A$23.A4.F$22.A5.A$5.8A8.A7.A$5.3A4.A7.A9.A$5.2A.6A5.A11.A
$5.A3.2A.A5.A13.A$3.A2.A.3A2.A3.A15.A$2.A3.A.A5.A.A17.A$.A3.2A3.A4.A
19.A$A3.A.2A3.3A22.A$A4.A2.2A3.A23.A$.A3.A2.FA.3A24.A$2.A4.6A26.A$3.A
4.2A30.A$4.A2.2A32.A$5.3A34.A$6.A36.A$5.A38.A$5.A39.A$6.A38.A$7.A36.A
$8.A34.A$9.A32.A$10.A30.A$11.A28.A$12.A26.A$13.A24.A$14.A22.A$15.A20.
A$16.A18.A$17.A16.A$18.A14.A$19.A12.A$20.A10.A$21.A8.A$22.A6.A$23.A4.
A$24.A2.A$25.2A!
Hahahahahaha no way!! period 4852 by the way
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

User avatar
Saka
Posts: 3405
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

Re: A spaceship in Langtons Ant!?

Post by Saka » April 10th, 2017, 9:52 am

Rhombic wrote:
Saka wrote:

Code: Select all

x = 46, y = 41, rule = Langtons-Ant
25.2A$24.A2.A$23.A4.F$22.A5.A$5.8A8.A7.A$5.3A4.A7.A9.A$5.2A.6A5.A11.A
$5.A3.2A.A5.A13.A$3.A2.A.3A2.A3.A15.A$2.A3.A.A5.A.A17.A$.A3.2A3.A4.A
19.A$A3.A.2A3.3A22.A$A4.A2.2A3.A23.A$.A3.A2.FA.3A24.A$2.A4.6A26.A$3.A
4.2A30.A$4.A2.2A32.A$5.3A34.A$6.A36.A$5.A38.A$5.A39.A$6.A38.A$7.A36.A
$8.A34.A$9.A32.A$10.A30.A$11.A28.A$12.A26.A$13.A24.A$14.A22.A$15.A20.
A$16.A18.A$17.A16.A$18.A14.A$19.A12.A$20.A10.A$21.A8.A$22.A6.A$23.A4.
A$24.A2.A$25.2A!
Hahahahahaha no way!! period 4852 by the way
Pretty easy to make, just put one of those "diamond rings" close to a pattern made of still states.

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
Add your computer to the Table of Lifeenthusiast Computers!

User avatar
BlinkerSpawn
Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: A spaceship in Langtons Ant!?

Post by BlinkerSpawn » April 10th, 2017, 10:35 am

Saka wrote:
Rhombic wrote:Hahahahahaha no way!! period 4852 by the way
Pretty easy to make, just put one of those "diamond rings" close to a pattern made of still states.
Only works with certain kinds of shapes though.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

Ethanagor
Posts: 80
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

Re: A spaceship in Langtons Ant!?

Post by Ethanagor » April 17th, 2017, 10:34 am

putting two of the spaceships next to each other with a one block gap quickly evolves into two oscillators:

Code: Select all

x = 5, y = 2, rule = Langtons-Ant
2B.2B$2B.2B!
Edit: Here's a pattern which expands infinitely AND evolves to contain a high-period oscillator:

Code: Select all

x = 14, y = 14, rule = Langtons-Ant
5.4B$3.2B4.2B$2.A8.A$.E10.C$.E10.C$E12.C$E12.C$E12.C$E12.C$.E10.C$.E
10.C$2.A8.A$3.2D4.2D$5.4D!
Poor Langton. People have totally changed his invention.
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter

User avatar
BlinkerSpawn
Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: A spaceship in Langtons Ant!?

Post by BlinkerSpawn » April 17th, 2017, 11:23 am

Here's the p1060:

Code: Select all

x = 12, y = 12, rule = Langtons-Ant
4.A3.H$4.D2$G$10.EA3$AC$11.I2$7.B$3.F3.A!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

Ethanagor
Posts: 80
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

Re: A spaceship in Langtons Ant!?

Post by Ethanagor » May 9th, 2017, 5:25 pm

If you place a single black cell any multiple of 3 blocks away from the spaceship's starting position, the spaceship gets reflected and still leaves the one cell in the same place:

Code: Select all

x = 11, y = 3, rule = Langtons-Ant
10.A$2B$2B!
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter

Post Reply