ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

A spaceship in Langtons Ant!?

For discussion of other cellular automata.

A spaceship in Langtons Ant!?

Postby 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:
x = 2, y = 2, rule = Langtons-Ant
2G$2G!
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1921
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: A spaceship in Langtons Ant!?

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

Cute!

Related: This turmite makes a period 68 glider:
{{{0,2,1},{0,8,0}},{{1,8,1},{1,4,0}}}
User avatar
Tim Hutton
 
Posts: 61
Joined: May 20th, 2010, 7:30 am

Re: A spaceship in Langtons Ant!?

Postby Kiran » July 9th, 2015, 7:47 pm

x = 7, y = 2, rule = Langtons-Ant
2G4.A$2G!
Kiran Linsuain
User avatar
Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: A spaceship in Langtons Ant!?

Postby Saka » July 9th, 2015, 10:00 pm

Tim Hutton wrote:Cute!

Related: This turmite makes a period 68 glider:
{{{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!!
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1921
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: A spaceship in Langtons Ant!?

Postby gmc_nxtman » July 9th, 2015, 10:01 pm

Scripts > Python > Rule-generators > Turmite-gen.py > Paste it in and press enter
User avatar
gmc_nxtman
 
Posts: 1030
Joined: May 26th, 2015, 7:20 pm

Re: A spaceship in Langtons Ant!?

Postby 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
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1921
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: A spaceship in Langtons Ant!?

Postby gameoflifeboy » July 14th, 2015, 10:42 pm

Colliding this with a triomino produces a C/12 spaceship:
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:
x = 38, y = 2, rule = Langtons-Ant
25.2B$3A22.2B8.3A!
User avatar
gameoflifeboy
 
Posts: 456
Joined: January 15th, 2015, 2:08 am
Location: New Mexico Tech

Re: A spaceship in Langtons Ant!?

Postby Kiran » July 15th, 2015, 11:27 pm

so you can create a shuttle:

A simpler shuttle:
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
User avatar
Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: A spaceship in Langtons Ant!?

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

Faster recovery time:
x = 16, y = 5, rule = Langtons-Ant
A$7.2B$7.2B2$15.A!


Two different reactions:
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:
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
x = 13, y = 3, rule = Langtons-Ant
8.2D$8.2D$A11.A!
also works. Found by accident.)
M. I. Wright
 
Posts: 290
Joined: June 13th, 2015, 12:04 pm

Re: A spaceship in Langtons Ant!?

Postby knightlife » July 18th, 2015, 11:44 pm

A diagonal line "runs over" a domino:
x = 28, y = 11, rule = Langtons-Ant
2A8$13.2D$13.2D$5.A21.A!


Pattern recovers from stray dot collision sometimes:
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:
x = 32, y = 15, rule = Langtons-Ant
18.2A$2A17.2A$4.2A$3.2A9$17.2D$17.2D$9.A21.A!
knightlife
 
Posts: 564
Joined: May 31st, 2009, 12:08 am

Re: A spaceship in Langtons Ant!?

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


Or just more really slow spaceships
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1921
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: A spaceship in Langtons Ant!?

Postby Kiran » July 19th, 2015, 9:52 am

a. A gun

This is impossible because more ants cannot be generated.
Kiran Linsuain
User avatar
Kiran
 
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: A spaceship in Langtons Ant!?

Postby 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.
dvgrn
Moderator
 
Posts: 3861
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: A spaceship in Langtons Ant!?

Postby drc » March 30th, 2017, 10:03 pm

What have I done:
x = 5, y = 3, rule = Langtons-Ant
2B$2B$4.A!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)

B2-ac3i4a/S12
User avatar
drc
 
Posts: 1592
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: A spaceship in Langtons Ant!?

Postby Rhombic » April 9th, 2017, 6:49 am

This pattern has a very weird growth (I think it is x^1/2)
x = 2, y = 6, rule = Langtons-Ant
D2$2A$2A2$B!

Pop:
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]]
User avatar
Rhombic
 
Posts: 722
Joined: June 1st, 2013, 5:41 pm

Re: A spaceship in Langtons Ant!?

Postby 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:
x = 1, y = 2, rule = Langtons-Ant
B$B!

Definitely x^(1/2).
Still drifting.
Bullet51
 
Posts: 379
Joined: July 21st, 2014, 4:35 am

Re: A spaceship in Langtons Ant!?

Postby gameoflifemaniac » April 9th, 2017, 1:11 pm

Here's a much better population plot:
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!
User avatar
gameoflifemaniac
 
Posts: 306
Joined: January 22nd, 2017, 11:17 am
Location: 54°00'39.4"N 21°43'50.5"E

Re: A spaceship in Langtons Ant!?

Postby gameoflifemaniac » April 9th, 2017, 1:16 pm

Have I made a Langton's Wick?
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!
User avatar
gameoflifemaniac
 
Posts: 306
Joined: January 22nd, 2017, 11:17 am
Location: 54°00'39.4"N 21°43'50.5"E

Re: A spaceship in Langtons Ant!?

Postby Saka » April 10th, 2017, 5:13 am

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!
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1921
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: A spaceship in Langtons Ant!?

Postby Rhombic » April 10th, 2017, 9:19 am

Saka wrote:
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
User avatar
Rhombic
 
Posts: 722
Joined: June 1st, 2013, 5:41 pm

Re: A spaceship in Langtons Ant!?

Postby Saka » April 10th, 2017, 9:52 am

Rhombic wrote:
Saka wrote:
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.
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
User avatar
Saka
 
Posts: 1921
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: A spaceship in Langtons Ant!?

Postby 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]
User avatar
BlinkerSpawn
 
Posts: 1426
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: A spaceship in Langtons Ant!?

Postby 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:
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:
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
Ethanagor
 
Posts: 78
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

Re: A spaceship in Langtons Ant!?

Postby BlinkerSpawn » April 17th, 2017, 11:23 am

Here's the p1060:
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]
User avatar
BlinkerSpawn
 
Posts: 1426
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: A spaceship in Langtons Ant!?

Postby 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:
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
Ethanagor
 
Posts: 78
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

Next

Return to Other Cellular Automata

Who is online

Users browsing this forum: No registered users and 3 guests