BiCoral

[Sphenocorona]

BiCoral is a rule I made trying to make a rule related to the Coral rule (B3/S45678) which would not always stabilize or explode endlessly for single-state soups. This is not a true alternating rule as the minority state-parity for a given region is employed to keep the majority in check. Here is the .rule file:

Code: Select all

@RULE BiCoral

This rule is designed to be a rule with 2 alive states that is similar to
"Coral" (B3/S45678) but which barely fails at natural growth from random soups.
As a result it exhibits very interesting behavior, similar to Conway's Life (B3/S23).
Two major active differences exist between this and B3/S23, other than the obvious lack of still lives
due to the alternating states:
1. There is usually less stable debris.
2. Most long-term chaotic growth occurs across orthogonal lines across which it is mostly symmetric,
instead of flowing madly around a debris field slowly sweeping out new territory.

@TABLE
n_states:3
neighborhood:Moore
symmetries:permute

var aa = {0,1}
var ba = {aa}
var ca = {aa}
var a = {aa,2}
var b = {a}
var c = {a}
var d = {a}
var e = {a}
var f = {a}
var g = {a}
var h = {a}
var ab = {0,2}
var bb = {ab}
var cb = {ab}
var db = {ab}
var z = {1,2}
var y = {z}
var x = {z}
var w = {z}
var v = {z}

#birth 1
0,1,1,1,0,0,0,0,0,2
0,1,1,1,1,1,1,1,1,2
#0,1,1,1,1,1,1,0,0,2
0,1,1,1,1,1,0,0,0,2

#birth 2
0,2,2,2,0,0,0,0,0,1
0,2,2,2,2,2,0,0,0,1
0,2,2,2,2,2,2,ab,0,1

#mixed birth
0,1,1,1,1,2,2,2,0,2
0,1,1,1,2,2,2,2,0,1
0,2,2,2,2,2,2,2,2,2
0,1,1,1,1,1,1,1,0,1

#survival 1
1,1,1,1,1,aa,ba,ca,0,2

#survival 2
2,2,2,2,2,ab,bb,cb,db,1

#mixed survival

z,1,1,1,1,2,2,2,0,2
z,1,1,1,2,2,2,2,0,1
1,1,1,1,1,1,2,2,0,2
2,2,2,2,2,2,1,1,0,1

#otherwise die
z,a,b,c,d,e,f,g,h,0

@COLORS
1 0 255 255 cyan
2 255 255 0 yellow

A simple phrase that describes this rule is "Explode and Die"; some common patterns will explode for a long time and to large sizes before they abruptly die off. Take this little 12-cell object that appears relatively frequently:

Code: Select all

x = 32, y = 8, rule = BiCoral
16.B$16.2B$15.3B$15.3B$16.2B$16.B!

It grows very wide and is very active, but by generation 3249 there is nothing left but a tiny oscillator remaining. The powerful c/3 movement engines that appear here can be used to engineer many interesting patterns. Here is a sample set of some of the things engineered using them:

Code: Select all

x = 615, y = 205, rule = BiCoral
8$573.A$541.3B3.3B.3B18.2A.A$541.B2.B4.B3.B8.4B5.3A.A$541.B2.B2.3B.3B
8.4B5.3A.A$356.2B21.2B12.3B.3B141.3B3.B3.B20.2A.A$354.6B17.6B12.B.B3.
3B137.B5.3B.3B19.A$278.2B19.2B54.B2.B19.B2.B11.3B.3B.B139.B$195.B.2B.
B13.B.2B.B58.2B19.2B53.2B2.2B17.2B2.2B12.B3.B.B$112.2B15.2B64.6B13.6B
58.2B19.2B54.B2.B19.B2.B11.3B.3B.3B$41.4B66.4B13.4B62.2B4.2B11.2B4.2B
53.10B11.10B50.B2.B19.B2.B$19.4B18.4B65.6B11.6B62.6B13.6B55.B.B2AB.B
13.B.B2AB.B50.2B2.2B17.2B2.2B8.15B$19.4B17.6B66.2B15.2B64.6B13.6B55.
3B2.3B13.3B2.3B50.2B2.2B17.2B2.2B118.3B$18.6B16.2B2A2B231.4B17.4B53.B
2.B19.B2.B11.2B2.3B.3B97.B$18.2B2A2B14.2B.4B.2B306.2B2.2B17.2B2.2B11.
B2.B3.B99.B$16.2B.4B.2B13.2B4.2B307.6B17.6B11.B2.3B.3B49.2B5.2B20.2B
7.2B8.3B$17.2B4.2B15.B4.B306.4B2A4B13.4B2A4B9.B4.B.B.B47.6B.6B16.6B3.
6B$18.B4.B17.4B308.3B2.3B15.3B2.3B9.3B.3B.3B48.B2.B3.B2.B18.B2.B5.B2.
B5.7B$19.4B19.2B151.6B13.6B136.2B21.2B70.6B.6B16.6B3.6B$20.2B173.6B
13.6B232.4B3.4B18.4B5.4B7.3B$194.2B4.2B11.2B4.2B282.B$195.6B13.6B57.
4B17.4B54.2B21.2B120.3B$195.B.2B.B13.B.2B.B55.3B2.3B13.3B2.3B50.6B17.
6B120.B$42.2B68.2B15.2B144.8B13.8B51.B2.B19.B2.B119.3B$20.2B19.4B65.
6B11.6B141.B.6B.B11.B.6B.B49.6B17.6B195.B$19.4B17.2B2.2B63.2B4.2B9.2B
4.2B142.6B15.6B53.2B21.2B199.B2.B.B.B8.B$18.2B2.2B17.B2.B63.3B4.3B7.
3B4.3B141.6B15.6B265.B10.8B4.B4.2B$19.B2.B17.2B2.2B63.3B2.3B9.3B2.3B
62.4B15.4B349.B.B7.2B6.4B.3B.4B$18.2B2.2B17.4B65.6B11.6B62.6B13.6B58.
2B19.2B267.B.B7.2B6.4B.3B.4B$19.4B19.2B67.4B13.4B64.B2.B15.B2.B137.2B
21.2B187.B10.8B4.B4.2B$20.2B174.B2.B15.B2.B135.6B17.6B197.B2.B.B.B8.B
$197.2B17.2B137.B2.B19.B2.B196.B$197.2B17.2B136.2B2.2B17.2B2.2B$278.
2B19.2B54.4B19.4B160.3B3.3B.B.B.B.B$112.2B15.2B64.6B13.6B58.2B19.2B
54.A2BA19.A2BA160.B2.B2.B3.B.B.B.B$110.6B11.6B60.4B2.4B9.4B2.4B55.B2.
B17.B2.B53.4B19.4B160.B2.B2.3B.3B.3B$109.3B.2B13.2B.3B59.4B2.4B9.4B2.
4B53.3B2.2B15.2B2.3B50.2B2.2B17.2B2.2B159.3B5.B3.B3.B$109.6B13.6B59.A
3B2.3BA9.A3B2.3BA53.2B4.4B9.4B4.2B51.B2.B19.B2.B160.B5.3B3.B3.B$109.
3B.2B.B9.B.2B.3B57.B.4B2.4B9.4B2.4B.B51.B7.3B7.3B7.B50.6B17.6B159.B$
42.2B65.2B21.2B56.2B.2B.4B.3B7.3B.4B.2B.2B49.2B8.2B7.2B8.2B51.2B21.2B
197.B$20.2B18.6B61.5B19.5B53.3B2.B6.B.B.B3.B.B.B6.B2.3B47.2B2.5B3.B7.
B3.5B2.2B274.B2.B.B.B8.B$18.6B16.2B2.2B62.2B2.B17.B2.2B52.2B3.B.2B4.
2B.3B3.3B.2B4.2B.B3.2B46.2B.BA.AB3.2B5.2B3.BA.AB.2B263.B10.8B4.B4.2B$
18.2B2.2B15.2B4.2B58.4B.3B.B13.B.3B.4B49.2B3.12B.5B.12B3.2B42.B2.B.7B
3.2B5.2B3.7B.B2.B47.2B21.2B187.B.B7.2B6.4B.3B.4B$17.2B4.2B14.2B4.2B
56.10B.B13.B.10B47.2B3.B.B.A2BA.B.B.5B.B.B.A2BA.B.B3.2B41.4B3.2B.B2.
5B5.5B2.B.2B3.4B46.2B21.2B187.B.B7.2B6.4B.3B.4B$17.2B4.2B15.B4.B57.2B
7.3B13.3B7.2B47.8B.4B.4B.3B.4B.4B.8B41.5B.2B2.9B3.9B2.2B.5B46.2B21.2B
187.B10.8B4.B4.2B$18.B4.B15.2B4.2B55.11B17.11B47.4B4.B2.B4.7B4.B2.B4.
4B43.8B.AB2.5B3.5B2.BA.8B43.B.B.2B.B.B13.B.B.2B.B.B195.B2.B.B.B8.B$
17.2B4.2B14.2B4.2B57.B.B.BA4B.B11.B.4BAB.B.B50.3B3.6B2.B3.B3.B2.6B3.
3B44.B5.7B2.2B5.2B2.7B5.B44.2B4.2B15.2B4.2B194.B$17.2B4.2B13.2B6.2B
55.2B2.5B2.2B11.2B2.5B2.2B56.4B6.3B6.4B51.B5.BABAB17.BABAB5.B43.3B4.
3B13.3B4.3B$16.2B6.2B13.2B4.2B59.B.2B3.2B13.2B3.2B.B68.2B.2B60.B.6B.
3B15.3B.6B.B46.B2.B19.B2.B$17.2B4.2B15.B4.B58.3B.2B4.B.B9.B.B4.2B.3B
67.3B60.4B.6B19.6B.4B46.2B21.2B$18.B4.B15.8B56.3B6.B.B13.B.B6.3B56.B
2.B5.B.B.B5.B2.B52.B5.2B21.2B5.B48.2B21.2B$17.8B14.2B4.2B58.2B10.2B5.
2B10.2B59.2B17.2B59.2B21.2B54.2B21.2B$17.2B4.2B12.B.2B4.2B.B58.B9.B7.
B9.B$15.B.2B4.2B.B11.4B2.4B68.4B3.4B$16.4B2.4B12.B.2B2.2B.B66.B3.2B3.
2B3.B$16.B.2B2.2B.B13.8B71.B5.B72.2B17.2B$17.8B15.6B72.2B3.2B71.4B15.
4B59.2B19.2B$18.6B16.6B68.5B5.5B67.4B15.4B58.4B17.4B$18.6B17.4B70.BAB
7.BAB68.4B15.4B58.B2.B17.B2.B$19.4B19.2B69.4B9.4B147.4B17.4B$20.2B20.
2B67.B3.2B9.2B3.B146.2B19.2B$20.2B93.B11.B$111.B19.B$113.2B13.2B4$
353.B.B25.B.B$354.2B25.2B$353.B.2B23.2B.B$351.4B.B23.B.4B$349.B.4B.3B
19.3B.4B.B216.A$349.3B.3B.2B19.2B.3B.3B214.3A$347.4B3.B.B.2B17.2B.B.B
3.4B212.3A.A$350.B3.B.3B19.3B.B3.B217.2A.A$350.3B.2B.3B17.3B.2B.3B84.
A68.A39.A5.A17.3A4.A$352.7B19.7B84.3A66.3A39.2A3.3A16.3A3.2A$351.B2.
5B19.5B2.B83.3A.A64.3A.A36.3A3.4A17.A3.3A$353.B.B25.B.B87.2A.A65.2A.A
35.3A3.4A17.A3.3A$31.B.B413.A5.A17.3A4.A37.A5.A17.3A4.A32.2A3.3A12.3A
3.A3.2A$31.3B413.2A3.3A16.3A3.2A37.2A3.3A16.3A3.2A32.A5.A13.3A2.2A4.A
$30.5B411.3A3.4A17.A3.3A35.3A3.4A17.A3.3A51.4A$33.B412.3A3.4A17.A3.3A
35.3A3.4A17.A3.3A52.4A.2A$447.2A3.3A16.3A3.2A37.2A3.3A16.3A3.2A52.4A$
106.2B27.2B310.A5.A17.3A4.A37.A5.A18.2A4.A52.9A$105.4B25.4B333.2A.A
68.A56.5A$105.B2.B25.B2.B283.3B3.3B.3B35.3A.A107.A5.A13.3A2.2A4.A$
105.4B25.4B283.B2.B2.B.B.B.B147.2A3.3A12.3A3.A3.2A$106.2B27.2B284.B2.
B2.3B.3B35.A110.3A3.4A17.A3.3A$421.3B3.B.B.B.B109.A36.3A3.4A17.A3.3A$
421.B5.3B.3B35.3A.A42.A5.A18.2A4.A33.2A3.3A12.3A3.A3.2A$356.2B21.2B
40.B49.2A.A41.2A3.3A16.3A3.2A33.A5.A13.3A2.2A4.A$197.3B15.3B136.6B17.
6B64.A5.A17.3A4.A36.3A3.4A17.A3.3A52.4A$194.7B13.7B134.B2.B19.B2.B65.
2A3.3A16.3A3.2A36.3A3.4A17.A3.3A53.4A.2A$194.8B.B7.B.8B133.2B2.2B17.
2B2.2B63.3A3.4A17.A3.3A36.2A3.3A16.3A3.2A53.4A$193.2B.B.BA3B9.3BAB.B.
2B133.4B19.4B64.3A3.4A17.A3.3A36.A5.A17.3A4.A53.9A$41.4B149.2B.4B.2B
7.2B.4B.2B134.A2BA19.A2BA65.2A3.3A16.3A3.2A61.2A.A57.5A$39.B.4B.B145.
3B.B2.B2.B9.B2.B2.B.3B132.4B19.4B65.A5.A17.3A4.A59.3A.A39.A5.A13.3A2.
2A4.A$39.3B2.3B145.4B3.B2.B9.B2.B3.4B131.2B2.2B17.2B2.2B88.2A.A63.3A
33.A7.2A3.3A12.3A3.A3.2A$39.B6.B145.8B2.2B7.2B2.8B132.4B19.4B87.3A.A
66.A40.3A3.4A17.A3.3A$39.B6.B146.2B3.2B.2B9.2B.2B3.2B133.4B19.4B87.3A
109.3A3.4A17.A3.3A$39.2B4.2B146.2B2.AB17.BA2.2B133.4B19.4B89.A110.2A
3.3A16.3A3.2A$39.2B4.2B146.2BA3B3.B9.B3.3BA2B133.4B19.4B200.A5.A17.3A
4.A$40.B4.B148.5B3.3B5.3B3.5B133.6B17.6B223.2A.A$39.2B4.2B145.B.6B3.
2B5.2B3.6B.B132.4B19.4B222.3A.A$38.2B6.2B146.3B.2B4.2B3.2B4.2B.3B134.
4B19.4B222.3A$39.2B4.2B146.6B4.2B5.2B4.6B132.6B17.6B223.A$39.8B154.4B
5.4B141.B2.B19.B2.B$42.2B157.2B9.2B140.2B2.2B17.2B2.2B$41.4B310.B2.B
19.B2.B$42.2B238.2B11.2B57.6B17.6B$40.B.2B.B234.B.3B9.3B.B56.4B19.4B$
41.4B236.2B.2B7.2B.2B$40.B.2B.B234.4B11.4B$42.2B237.B15.B$42.2B13$42.
2B$42.2B$40.B.2B.B$41.4B$40.B.2B.B$42.2B$42.2B3$336.2B$318.2B15.4B$
317.4B13.2B2.2B$316.2B2.2B13.B2.B$317.B2.B13.6B$316.6B14.2B$318.2B$
336.2B$318.2B14.6B$316.6B13.4B$317.4B14.A2BA$317.A2BA14.4B$317.4B13.
6B$316.6B13.4B$317.4B8$336.2B$318.2B$332.4B2A4B$314.4B2A4B9.B.4B.B$
315.B.4B.B10.B.4B.B$315.B.4B.B10.B.4B.B$315.B.4B.B10.B.4B.B$315.B.4B.
B8.3B.4B.3B$313.3B.4B.3B7.3B4.3B$314.3B4.3B9.8B$315.8B12.4B$106.2B27.
2B180.4B14.4B$103.8B21.8B177.4B14.4B$102.10B19.10B176.4B13.2B2.2B$
102.2B.4B.2B19.2B.4B.2B175.2B2.2B13.4B$101.2B.2B2.2B.2B17.2B.2B2.2B.
2B175.4B15.2B$102.4B2.4B19.4B2.4B177.2B$100.3B.B4.B.3B15.3B.B4.B.3B$
100.4B6.4B15.4B6.4B$99.2B.2B6.2B.2B13.2B.2B6.2B.2B$100.4B6.4B15.4B6.
4B$100.4B6.4B15.4B6.4B$101.B.2B4.2B.B17.B.2B4.2B.B$103.B.4B.B21.B.4B.
B$102.4B2.4B19.4B2.4B$103.3B2.3B21.3B2.3B$102.B.6B.B19.B.6B.B$104.2B
2.2B23.2B2.2B$104.6B23.6B$105.4B25.4B$106.2B27.2B2$328.2B$106.2B27.2B
190.4B$106.2B27.2B190.2B.B$106.2B27.2B189.2B2.B$106.2B27.2B188.7B$
106.2B27.2B188.2B.B$106.2B27.2B188.B!

There are also puffers that I have found for the rule, but no rakes because I can't seem to find any spaceships with only one front engine.

[Sphenocorona]

Here are two more oscillators of high period:

Code: Select all

x = 129, y = 26, rule = BiCoral
$82.3B3.3B.3B13.4A$82.B2.B2.B3.B.B$82.B2.B2.3B.B.B12.6A$82.3B5.B.B.B
13.4A$82.B5.3B.3B$82.B2$108.4A$25.A19.A61.6A$2.3B3.3B.3B8.A.2A17.2A.A
61.2A$2.B2.B4.B.B.B8.A.3A15.3A.A$2.B2.B2.3B.3B8.A.3A15.3A.A$2.3B3.B3.
B.B8.A.2A17.2A.A$2.B5.3B.3B10.A19.A$2.B2$120.A5.A$120.2A3.2A.A$119.3A
3.2A.A$119.3A3.2A.A$120.2A3.2A.A$120.A5.A!

[c0b0p0]

I looked at this rule operating under multi-state soups and found that it was very sparse and stabilized quickly. What soup density do you recommend for this rule?

[c0b0p0]

I think the pattern below is the smallest puffer in BiCoral.

Code: Select all

x = 3, y = 20, rule = BiCoral
.B$.2B$3B$3B$.2B$.B2$.B$.2B$3B$3B$.2B$.B2$.B$.2B$3B$3B$.2B$.B!

I created a couple of puffers based on it.

Code: Select all

x = 6, y = 49, rule = BiCoral
.B$.2B$3B$3B$.2B$.B2$.B$.2B$3B$3B$.2B$.B2$.B$.2B$3B$3B$.2B$.B10$4.B$
4.2B$3.3B$3.3B$4.2B$4.B2$4.B$4.2B$3.3B$3.3B$4.2B$4.B2$4.B$4.2B$3.3B$
3.3B$4.2B$4.B!

Code: Select all

x = 9, y = 49, rule = BiCoral
.B$.2B$3B$3B$.2B$.B2$.B$.2B$3B$3B$.2B$.B2$.B$.2B$3B$3B$.2B$.B10$7.B$
7.2B$6.3B$6.3B$7.2B$7.B2$7.B$7.2B$6.3B$6.3B$7.2B$7.B2$7.B$7.2B$6.3B$
6.3B$7.2B$7.B!

[Sphenocorona]

I looked at this rule operating under multi-state soups and found that it was very sparse and stabilized quickly. What soup density do you recommend for this rule?

By the nature of BiCoral, multi-state soups almost always stabilize rapidly. I don't think that any density value will get good results with them. Even single state patterns usually stabilize fast. I think the motto would be better as "Explode or Die", as if something doesn't explode very fast it won't stay chaotic long. Only symmetrical patterns seem to be very interesting, and almost all of them have even symmetry.

Which makes it surprising to find a c/2 front-end with odd-reflectional symmetry:

Code: Select all

x = 9, y = 5, rule = BiCoral
4.B$2.5B$.3B.3B$3B3.3B$.7B!

I'm sure there is a way to turn it into a c/2 ship or puffer, but I don't have any idea how. It doesn't seem like a good target for trying a "mutually stabilizing" dual-engine approach...

[c0b0p0]

Which makes it surprising to find a c/2 front-end with odd-reflectional symmetry:

Code: Select all

x = 9, y = 5, rule = BiCoral
4.B$2.5B$.3B.3B$3B3.3B$.7B!

I think that might more accurately be described as a 2c/4 front-end. Either way, it can actually be proven impossible to use a "mutually stabilizing" approach, so the only approach I can think of would be to make the object emit a long-lasting spark like this common one

Code: Select all

x = 7, y = 6, rule = BiCoral
.A.A.A$.5A$7A$7A$.5A$.A.A.A!
 

... which would hit the pattern and remake itself.

[c0b0p0]

I think the pattern below is the smallest puffer in BiCoral.

Code: Select all

x = 3, y = 20, rule = BiCoral
.B$.2B$3B$3B$.2B$.B2$.B$.2B$3B$3B$.2B$.B2$.B$.2B$3B$3B$.2B$.B!

No, this is a smaller puffer in BiCoral (in terms of population), which grows at the other common speed, 70c/314.

Code: Select all

x = 6, y = 23, rule = BiCoral
.B$.2B$3B$3B$.2B$.B12$4.B$4.2B$3.3B$3.3B$4.2B$4.B!

[c0b0p0]

Here is a very sparky ship whose debris is at first entirely composed of the frequently occurring 12-cell object.

Code: Select all

x = 974, y = 120, rule = BiCoral
21.2B3.B$21.B2.3B$.B.B.B3.B.B10.B2.3B3.2B$.6BA5B7.B3.2B.7B$2B4.3B2.2B
12.4B.B.B$2B4.3B2.2B8.2B.4B.5B$.6BA5B10.3B5.B$.B.B.B3.B.B11.6B.B$23.
3B2.4B$.B.B.B3.B.B13.5B.B$.6BA5B12.B3.5B18.3B$2B4.3B2.2B11.2B4.6B15.
2B.2B$2B4.3B2.2B11.2B4.6B15.AB.2B$.6BA5B12.3B.4B17.3B.B$.B.B.B3.B.B
14.4B.3B17.B2.B$27.6B18.4B$.B.B.B3.B.B16.B23.2B$.6BA5B17.2B$2B4.3B2.
2B16.4B$2B4.3B2.2B17.B.2B$.6BA5B16.5B$.B.B.B3.B.B21.B$44.3B33.3B69.3B
$45.3B33.3B69.3B$45.3B33.3B69.3B$45.B35.B71.B$.B.B.B3.B.B21.B143.2B4.
B$.6BA5B16.5B69.B72.8B787.B$2B4.3B2.2B17.B.2B69.2B.B70.3B3.2B254.4B
32.B.B492.3B$2B4.3B2.2B16.4B25.B.2B39.2B.5B68.3B2.2B34.B168.2B49.B.2B
.B30.3B3.B200.B.B.B283.2B.2B$.6BA5B17.2B26.3B36.3B2.B4.B66.B.B.2B2.B
32.5B3.B65.B86.B12.3B43.3B2.2B2.3B27.7B52.B.B144.7B30.B250.5B$.B.B.B
3.B.B16.B28.5B.B4.B26.5B.3B3.B65.3B3.B2.2B30.12B61.2B87.B7.B2.B.3B43.
4B4.4B12.B13.4B3.B.B48.2B3.4B7.B47.B5.B64.B.B10.B.7B19.5B3.5B247.6B$
29.4B24.2B4.B.5B25.2B2.3B.2B.2B3.B58.4B.2B.2B2.2B30.B.7B.2B2.5B.B52.
2B21.B30.B33.B.B8.B2.4B42.4B4.4B10.3B11.B.2B.3B.2B49.2B3.4B6.3B36.2B
2.B5.B5.B5.B2.2B54.3B.B2.B.B.B.B5.5B12.2B2.B2.2B4.2B.B222.2B25.3B$.B.
B.B3.B.B14.B.6B17.B6.B5.2B2.2B.2B6.B11.B2.B.B.3B.3B.B2.3B14.B3.B8.B.
5B.B22.2B4.8B33.B2.2B2.2B.7B76.3B17.B.B.B.B3.4B4.B7.B3.B3.B3.B5.2B.2B
5.2B7.2B39.B.2B6.2B.B7.2B2.2B11.3B3.B2.BA2B46.2B3.B3.2B4.4B22.B.B3.B
4.6B2.B3.3B.3B3.B2.6B4.B3.B.B39.B.14B4.5B5.B.B3.5B4.B.B3.B2.2B202.B.B
3.B.B5.B3.4B3.B.B18.B$.6BA5B17.3B13.B2.3B11.B.10BABA3B11.B3.B.B3.4B4.
3B10.B.3BA5B3.3B.3B3.2B20.2B5.B.7B6.3B26.3B.B3.4B.3B25.4B32.B3.2B6.5B
16.7B2.6B10.2B3.2BA3BA3B3.2B3.2B5.B6.2B.B37.B5.B2.B5.B6.B.5B8.6B.2B.
5B45.B.2B2.5B6.B.3B20.3B3.7B3.5B.9B.5B3.7B3.3B37.4B2.2B2.5B.B5.B.2B6.
3B3.5B5.3B.2B2.3B201.4BA.B.B.ABA2B2.2B.3B2.2B$2B4.3B2.2B11.2B5.5B8.4B
.B.2B10.B.ABABAB3.7B8.8B.2B2.4B4.4B7.B.3B.3B.3B3.6BAB2.3B17.2B7.3B4.
3B4.2B.2B22.3B2.B.2B.B.B4.3B24.4B31.3B.3B8.3B15.2B5.2B.2B.B5.B.B3.4B.
5B.5B.2B7.2B3.B.B4.2B.2B36.3B10.3B6.B.2B2.2B7.B.AB2.B.B.6B43.2B.B4.5B
6.2B.2B18.2B.2B.2B9.BA3B.BA5BAB.3BAB9.2B.2B.2B36.2B.2B2.B2.5B.2B4.B2.
B5.2B.2B.2B.B6.2B.B.B4.2B200.2B2.3B3.7B.B3.4B.4B$2B4.3B2.2B11.2B5.5B
8.4B.B.2B10.B.ABABAB3.7B8.8B.2B2.4B4.4B7.B.3B.3B.3B3.6BAB2.3B17.2B7.
3B4.3B4.2B.2B22.3B2.B.2B.B.B4.3B24.4B31.3B.3B8.3B15.2B5.2B.2B.B5.B.B
3.4B.5B.5B.2B7.2B3.B.B4.2B.2B36.3B10.3B6.B.2B2.2B7.B.AB2.B.B.6B43.2B.
B4.5B6.2B.2B18.2B.2B.2B9.BA3B.BA5BAB.3BAB9.2B.2B.2B36.2B.2B2.B2.5B.2B
4.B2.B5.2B.2B.2B.B6.2B.B.B4.2B200.2B2.3B3.7B.B3.4B.4B$.6BA5B17.3B13.B
2.3B11.B.10BABA3B11.B3.B.B3.4B4.3B10.B.3BA5B3.3B.3B3.2B20.2B5.B.7B6.
3B26.3B.B3.4B.3B25.4B32.B3.2B6.5B16.7B2.6B10.2B3.2BA3BA3B3.2B3.2B5.B
6.2B.B37.B5.B2.B5.B6.B.5B8.6B.2B.5B45.B.2B2.5B6.B.3B20.3B3.7B3.5B.9B.
5B3.7B3.3B37.4B2.2B2.5B.B5.B.2B6.3B3.5B5.3B.2B2.3B201.4BA.B.B.ABA2B2.
2B.3B2.2B$.B.B.B3.B.B14.B.6B17.B6.B5.2B2.2B.2B6.B11.B2.B.B.3B.3B.B2.
3B14.B3.B8.B.5B.B22.2B4.8B33.B2.2B2.2B.7B76.3B17.B.B.B.B3.4B4.B7.B3.B
3.B3.B5.2B.2B5.2B7.2B39.B.2B6.2B.B7.2B2.2B11.3B3.B2.BA2B46.2B3.B3.2B
4.4B22.B.B3.B4.6B2.B3.3B.3B3.B2.6B4.B3.B.B39.B.14B4.5B5.B.B3.5B4.B.B
3.B2.2B202.B.B3.B.B5.B3.4B3.B.B18.B$29.4B24.2B4.B.5B25.2B2.3B.2B.2B3.
B58.4B.2B.2B2.2B30.B.7B.2B2.5B.B75.B30.B33.B.B8.B2.4B42.4B4.4B10.3B
11.B.2B.3B.2B49.2B3.4B6.3B36.2B2.B5.B5.B5.B2.2B54.3B.B2.B.B.B.B5.5B
12.2B2.B2.2B4.2B.B222.2B25.3B$.B.B.B3.B.B16.B28.5B.B4.B26.5B.3B3.B65.
3B3.B2.2B30.12B150.B7.B2.B.3B43.4B4.4B12.B13.4B3.B.B48.2B3.4B7.B47.B
5.B64.B.B10.B.7B19.5B3.5B247.6B$.6BA5B17.2B26.3B36.3B2.B4.B66.B.B.2B
2.B32.5B3.B152.B12.3B43.3B2.2B2.3B27.7B52.B.B144.7B30.B250.5B$2B4.3B
2.2B16.4B25.B.2B39.2B.5B68.3B2.2B34.B168.2B49.B.2B.B30.3B3.B200.B.B.B
283.2B.2B$2B4.3B2.2B17.B.2B69.2B.B70.3B3.2B254.4B32.B.B492.3B$.6BA5B
16.5B69.B72.8B787.B$.B.B.B3.B.B21.B143.2B4.B5$.B.B.B3.B.B21.B$.6BA5B
16.5B69.B733.B.2B$2B4.3B2.2B17.B.2B69.2B.B69.B.B656.B2.B.2B85.B.B.B$
2B4.3B2.2B16.4B25.B.2B39.2B.5B66.6B653.5B2.2B83.7B$.6BA5B17.2B26.3B
36.3B2.B4.B66.3B.3B221.2B430.2B.3B.2B82.B5.3B$.B.B.B3.B.B16.B28.5B.B
4.B26.5B.3B3.B25.B39.3B.2B.B38.4B67.B.B.B.B109.B124.B.B299.5B.3B56.B
15.B.B8.B3.B2.3B$29.4B24.2B4.B.5B25.2B2.3B.2B.2B3.B21.B38.3B.7B28.B7.
4B66.9B102.B.3B3.B116.B.2B3.2B270.3B2.B16.B2.4B2.BA.B.2B54.5B2.B9.B.B
9.B3.7B$.B.B.B3.B.B14.B.6B17.B6.B5.2B2.2B.2B6.B11.B2.B.B.3B.3B.B2.3B
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B6.B5.B55.B.B3.B4.B2.B.B.B28.2B4.2B4.B.B240.B.B3.B.B5.B.B5.7B3.B.B9.
7B.2B4.2B38.B.B5.B.B4.2B2.2B.3B6.7B7.3B3.6B$.6BA5B17.3B13.B2.3B11.B.
10BABA3B11.B3.B.B3.4B4.3B10.B8.4B2.3B.2B3.B.2B.3B3.2BA10.B.5B.B4.3B6.
4B13.8B4.2B30.2B34.B6.2B.3B95.2B.4B13.3B2.2B55.4BA15B4.B20.B.2B4.B4.
4B24.B214.5B.4B4.5B4.B4.2B3.3B9.2B6.2B4.B.B36.5B3.5B4.2B.BA2B.4B3.2B
3.BAB5.3B.2B2.5B$2B4.3B2.2B11.2B5.5B8.4B.B.2B10.B.ABABAB3.7B8.8B.2B2.
4B4.4B7.B.B8.2B.21B.6B6.4B.2B.3B5.2B6.4B13.B.AB9.2B29.2B31.B2.B6.4B.
2B3.4B87.B2.2B6.5B3.2B.B.4B53.2B2.3B.8B3.2B2.B.B22.2B4.2B3.2B.2B21.B.
B19.4B190.2B2.2B.2B.2B2.2B2.2B.B2.B5.2B.2B.2B7.2B7.2B4.B.B36.2B2.2B.
2B3.2B3.2B.3B5.3B.B4.5B6.B6.4B$2B4.3B2.2B11.2B5.5B8.4B.B.2B10.B.ABABA
B3.7B8.8B.2B2.4B4.4B7.B.B8.2B.21B.6B6.4B.2B.3B5.2B6.4B13.B.AB9.2B29.
2B31.B2.B6.4B.2B3.4B87.B2.2B6.5B3.2B.B.4B53.2B2.3B.8B3.2B2.B.B22.2B4.
2B3.2B.2B21.B.B19.4B190.2B2.2B.2B.2B2.2B2.2B.B2.B5.2B.2B.2B7.2B7.2B4.
B.B36.2B2.2B.2B3.2B3.2B.3B5.3B.B4.5B6.B6.4B$.6BA5B17.3B13.B2.3B11.B.
10BABA3B11.B3.B.B3.4B4.3B10.B8.4B2.3B.2B3.B.2B.3B3.2BA10.B.5B.B4.3B6.
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4.B26.5B.3B3.B25.B39.3B.2B.B38.4B67.B.B.B.B109.B124.B.B299.5B.3B56.B
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2B82.B5.3B$2B4.3B2.2B16.4B25.B.2B39.2B.5B66.6B653.5B2.2B83.7B$2B4.3B
2.2B17.B.2B69.2B.B69.B.B656.B2.B.2B85.B.B.B$.6BA5B16.5B69.B733.B.2B$.
B.B.B3.B.B21.B5$.B.B.B3.B.B21.B143.2B4.B$.6BA5B16.5B69.B72.8B787.B$2B
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27.7B52.B.B144.7B30.B250.5B$.B.B.B3.B.B16.B28.5B.B4.B26.5B.3B3.B65.3B
3.B2.2B30.12B150.B7.B2.B.3B43.4B4.4B12.B13.4B3.B.B48.2B3.4B7.B47.B5.B
64.B.B10.B.7B19.5B3.5B247.6B$29.4B24.2B4.B.5B25.2B2.3B.2B.2B3.B58.4B.
2B.2B2.2B30.B.7B.2B2.5B.B75.B30.B33.B.B8.B2.4B42.4B4.4B10.3B11.B.2B.
3B.2B49.2B3.4B6.3B36.2B2.B5.B5.B5.B2.2B54.3B.B2.B.B.B.B5.5B12.2B2.B2.
2B4.2B.B222.2B25.3B$.B.B.B3.B.B14.B.6B17.B6.B5.2B2.2B.2B6.B11.B2.B.B.
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10BABA3B11.B3.B.B3.4B4.3B10.B.3BA5B3.3B.3B3.2B20.2B5.B.7B6.3B26.3B.B
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