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<!DOCTYPE html>
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<title>Wireworld++</title>
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<meta property="og:description" content="Several years ago I discovered the wonderful world of cellular automata. After some Googling I discovered a cellular automata called Wireworld that is designed to simulate electronic circuits. Each of its square cells can be in one of four states, “empty” (which always stays empty, and is shown here in …" />
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<h1><a href="https://dragoncoder047.github.io/blog/2022/wireworld" rel="bookmark" title="Permalink to this page">Wireworld++</a></h1>
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Posted <time class="published" datetime="2022-05-09T00:00:00-04:00">Mon 09 May 2022</time>
<address>By
<a href="https://dragoncoder047.github.io/blog/">dragoncoder047</a>
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<div class="tags">
Tags:
<a href="https://dragoncoder047.github.io/blog/tag/cellular-automata">cellular-automata</a>
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<p>Several years ago I discovered the wonderful world of cellular automata.</p>
<p>After some Googling I discovered a cellular automata called Wireworld that is designed to simulate electronic circuits. Each of its square cells can be in one of four states, “empty” (which always stays empty, and is shown here in black), “electron head” (which subsequently turns to a tail, and is shown in blue), “electron tail” (which subsequently turns to wire), and “empty wire” (which remains wire unless exactly 1 or 2 of the 8 neighbors is a “head”, and is shown in orange.) Have a look at the <a href="https://en.wikipedia.org/wiki/Wireworld">Wikipedia page on Wireworld</a> for more details.</p>
<details class="note">
<summary>What’s a cellular automaton? (open this if you don’t know)</summary>
<p>If you don’t know what a cellular automaton is, it is simply a geometric tiling of some mathematical space, where each shape is called a “cell” and can be in one of a number of “states”, and every time step (called a “generation”) each cell looks at the cells around it in some predefined relation (called the “neighborhood”) and updates its state according to some set rules.</p>
<p>Many cellular automata have been devised on many different grids and using many different rules. Most use a square grid of cells (because it’s easy to simulate on a computer), but some have been devised that use hexagonal or triangular grids, and in both two and three dimensions. There has even been a cellular automata designed for the Penrose tiling, which, despite being aperiodic, actually works!</p>
<p>The most heavily-studied one is called <strong>Conway’s Game of Life</strong> (due to its creator, the mathematician John Conway) and is on a square grid where each cell can be in one of two states, “alive” or “dead”. A dead cell will be “born” and become alive in the next generation if exactly 3 of its 8 neighbors touching it are alive, and an alive cell will remain alive if 2 or 3 of its neighbors are alive.</p>
<p>I won’t bore you with the details of this specific cellular automaton because it has so heavily been researched. Nathaniel Johnston has set up an entire website to host a wiki, forums, several old pages of discoveries from the 1970s-1990s, and even a book he co-authored. That site is <a href="https://conwaylife.com/">https://conwaylife.com/</a> – go there if you are interested. You can also find that link at the bottom of every page.</p>
</details>
<p>Almost simultaneously with that I discovered a magnificent computer constructed in Wireworld by David Moore and Mark Owen. They also have a rudimentary introduction to Wireworld construction on their website along with an overview of their computer – <a href="http://quinapalus.com/wi-index.html">http://quinapalus.com/wi-index.html</a>. The link to Julien Thevenon’s reverse engineering is down, but after some more Googling I found it buried at pages 120-164 of <a href="http://1010.co.uk/org/erdsir_modes_reader.pdf">http://1010.co.uk/org/erdsir_modes_reader.pdf</a>. I have extracted the relevant pages <a href="https://dragoncoder047.github.io/blog/2022/wireworld/wireworld/quinapalus_computer_reverse_engineering.pdf">here</a> so you don’t have to scroll, and in case that goes down too.</p>
<p>Here it is, displayed using Chris Rowett’s LifeViewer: (and the RLE file for Golly: <a download="quinapalus_primes.rle" href="https://dragoncoder047.github.io/blog/2022/wireworld/wireworld/quinapalus_primes.rle">quinapalus_primes.rle</a>)</p>
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27C.2C.2B.2B.2C$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.2C36.C3.2B.2A.2A.2B.
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2A.2B$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.2C36.B3.2A.2C.2C.2A.27C.2C.2B.
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2C36.B3.2C.2C.2C.2C.27C.2C.2B.2B.2C$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.
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A3.2C.2C.2C.2C.27C.2B.2A.2A.2B$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.2C36.B
3.2A.2C.2C.2A.27C.2C.2B.2B.2C36.B3.2A.2C.2C.2A.27C.2C.2B.2B.2C36.B3.
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2C.2C.27C.2A.2C.2C.2A$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.2C36.A3.2C.2B.
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.2C.2B.2B.2C$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.2C36.C3.2B.2A.2A.2B.27C.
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2B$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.2C36.B3.2A.2C.2C.2A.27C.2C.2B.2B.
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36.B3.2C.2C.2C.2C.27C.2C.2B.2B.2C$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.2C
36.C3.2B.2A.2A.2B.27C.2A.2C.2C.2A36.C3.2B.2A.2A.2B.27C.2A.2C.2C.2A36.
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2C.2C.2C.27C.2B.2A.2A.2B$133.C3.2C.2C.2C.2C.27C.2C.2C.2C.2C36.B3.2A.
2C.2C.2A.27C.2C.2B.2B.2C36.B3.2A.2C.2C.2A.27C.2C.2B.2B.2C36.B3.2A.2C.
2C.2A.27C.2C.2B.2B.2C36.B3.2C.2C.2C.2C.27C.2C.2B.2B.2C$133.C3.2C.2C.
2C.2C29.2C.2C.2C.2C36.C3.2B.2A.2A.2B29.2A.2C.2C.2A36.C3.2B.2A.2A.2B
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2C.2C.2A$133.C4.C.2C.2C.C3.25C3.C.2C.2C.C37.A4.C.2B.2B.C3.25C3.B.2A.
2A.B37.A4.C.2B.2B.C3.25C3.B.2A.2A.B37.A4.C.2B.2B.C3.25C3.B.2A.2A.B37.
A4.C.2C.2C.C3.BCABCABCABCABCABCABCABCAB3.B.2A.2A.B$133.C5.C.C.C.C3.
27C3.C.C.C.C38.B5.A.C.C.A3.27C3.C.B.B.C38.B5.A.C.C.A3.27C3.C.B.B.C38.
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.B.B.C$133.C8.C5.C27.C5.C41.C8.A5.C27.C5.C41.C8.A5.C27.C5.C41.C8.A5.C
27.C5.C41.C8.C5.C27.A5.C$133.C2.6C2.C2.C.27C.C2.C.C41.A2.ACBACB2.C2.C
.27C.C2.C.A41.A2.ACBACB2.C2.C.27C.C2.C.A41.A2.ACBACB2.C2.C.27C.C2.C.A
41.A2.6C2.C2.B.ABCABCABCABCABCABCABCABCABC.B2.C.A$133.C.C7.C2.33C4.2C
39.B.B7.C2.33C4.BC39.B.B7.C2.33C4.BC39.B.B7.C2.33C4.BC39.B.C7.C2.ABCA
BCABCABCABCABCABCABCABCABCABC4.BC$133.C.C.7C.C33.3C3.3C36.C.C.7C.C33.
3C3.ABC36.C.C.7C.C33.3C3.ABC36.C.C.7C.C33.3C3.ABC36.C.C.7C.C33.ABC3.A
BC$133.C.C.7C2.33C3.2C4.C35.A.A.7C2.33C3.2C4.A35.A.A.7C2.33C3.2C4.A
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4.A$133.C.C.4C3.C2.C.27C.C2.C3.3C2.C34.B.B.4C3.C2.C.27C.C2.C3.3C2.B
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4C3.C2.B.ABCABCABCABCABCABCABCABCABC.B2.C3.CAB2.B$133.C.C.C4.C5.C27.C
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.C4.C5.C27.C5.C4.C2.C33.C.C.C4.C5.C27.A5.C4.C2.C$133.C.C3.C.C.C.C3.
27C3.C.C.C.C2.C2.C32.A.A3.A.A.A.A3.27C3.A.A.A.A2.C2.A32.A.A3.A.A.A.A
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3.C.2C.2C.C2.C.C32.B.B2.B.2B.2B.B3.25C3.B.2B.2B.B2.C.B32.B.B2.B.2B.2B
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.2C.2C.2C29.2C.2C.2C.2C.C.C$133.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C
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2A.2A.2A.2A.A.A$133.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C32.B.B.2B.2B.
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B$133.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C32.C.C.2C.2C.2C.2C.27C.2C.2C
.2C.2C.C.C32.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C32.C.C.2C.2C.2C.2C.
27C.2C.2C.2C.2C.C.C32.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C$133.C.C.2C.
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2C.2C.2C.2C.C.C$133.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C32.A.A.2A.2A.
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A$133.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C32.B.B.2B.2B.2B.2B.27C.2B.2B
.2B.2B.C.B32.B.B.2B.2B.2B.2B.27C.2B.2B.2B.2B.C.B32.B.B.2B.2B.2B.2B.
27C.2B.2B.2B.2B.C.B32.B.C.2C.2C.2C.2C.27C.2B.2B.2B.2B.B.B$133.C.C.2C.
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2B.2B.2B.2B.B.B$133.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C32.C.C.2C.2C.
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.2A.2A.C.A32.A.A.2A.2A.2A.2A.27C.2A.2A.2A.2A.C.A32.A.A.2A.2A.2A.2A.
27C.2A.2A.2A.2A.C.A32.A.C.2C.2C.2C.2C.27C.2A.2A.2A.2A.A.A$133.C.C.2C.
2C.2C.2C.27C.2C.2C.2C.2C.C.C32.B.B.2B.2B.2B.2B.27C.2B.2B.2B.2B.C.B32.
B.B.2B.2B.2B.2B.27C.2B.2B.2B.2B.C.B32.B.B.2B.2B.2B.2B.27C.2B.2B.2B.2B
.C.B32.B.C.2C.2C.2C.2C.27C.2B.2B.2B.2B.B.B$133.C.C.2C.2C.2C.2C.27C.2C
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2C.2C.2C.27C.2C.2C.2C.2C.C.C$133.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C
32.A.A.2A.2A.2A.2A.27C.2A.2A.2A.2A.C.A32.A.A.2A.2A.2A.2A.27C.2A.2A.2A
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2A.2A.2A.2A.A.A$133.C.C.2C.2C.2C.2C.27C.2C.2C.2C.2C.C.C32.B.B.2B.2B.
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.C.2C.2C.2C.2C29.2C.2C.2C.2C.C.C$133.C.C2.C.2C.2C.C3.25C3.C.2C.2C.C2.
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2.C2.C$134.C3.C2.C.C3.C.27C.C3.C.C2.C2.C35.A3.A2.A.A3.C.BCABCABCABCAB
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A35.A3.C2.C.C3.C.BCABCABCABCABCABCABCABCABCA.C3.A.A2.A2.A$135.C3.C2.C
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BCABCABCABCABCA3.B2.B2.B$136.C2.C2.C2.C33.C2.C.C2.C39.C2.C2.C2.A33.B
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C2.A49.A2.C2.7C19.C2.A2.A2.A$144.C2.C8.C17.C2.C2.C2.C51.B2.B8.B17.A2.
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2.C3.B.3C55.B.3C.C3.C.3C.C2.C.B2.B2.B3.B.3C$141.C.C7.C.C7.C.C2.C.C3.C
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53.4C6.4C6.5C.C2.C2.C2.2CB53.4C6.4C6.5C.C2.C2.C2.2CB$141.C.C7.C.C7.C.
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153.C2.C87.C172.C2.C2.C2.C2.C70.C2.C$154.C2.C87.171C2.C2.C2.C2.C2.C
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.B2.C2.2C.2C2.C.C7.C3.15C12.C2.2CAB4CAB4CAB4CAB4CAB67C$392.C2.C7.C.3C
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BA4CBA4CBA4CBA4CBA4CBA4CBA4CBA4CBA4CBA4CBA4CBA4CBA4CBA4CBA4CBA2C$390.
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C31.C.C$387.C3.C16.C.C3.C2.3B.B2.C2.2C.2C2.C.C32.C2.95C$388.C2.C17.C.
3C4.C2.C.3C3.C3.5C31.C97.C$387.C.C.C18.C6.B.2C3.C3.3C3.C.C32.C2.32CAB
61C$387.C.C.C19.C5.A.C3.C.C3.C3.2C.2C31.C.C$387.C.C.C20.C3.3C3.C2.C3.
C2.C.3C.C30.C2.95C$387.C.C.C21.C3.C3.C2.C3.A.C.C5.2C29.C97.C$387.C.C.
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2.ACBC.5C12.C.2C20.2CBA16CBA16CBA3C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$
379.C2.C3.C.3CB2.B3.C.C13.C.2C63.C.C4.3C2.5C2.C2.4C.2C2.C3.C$378.C2.B
4.B2.C7.C2.C.A73.C2.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$377.C2.B3.C.2AC.C.
3C.3C2.CAB4CAB4CAB15C.18CAB4CAB4CAB13C4.C3.C5.C5.C.C.3C3.C2.C3.C$376.
C2.CB.4C5.2C.2C.C2.C.A28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$375.C2.C
2.A2.C3.B3.C.C3.2C2.C5.C.C20.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$374.C2.C2.
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2.C3.C$373.C2.C3.C.3CB2.B3.C.C13.C.C64.C.A4.3C2.5C2.C2.4C.2C2.C3.C$
372.C2.A4.C2.A7.C2.C.C76.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$371.C2.B3.A.
2CB.C.2CB.3C2.7CAB4CAB4CAB9C.6CAB4CAB4CAB4CAB4CAB4CAB7C4.C3.C5.C5.C.C
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3.C2.C3.C$369.C2.C2.A2.A3.A3.C.B3.2C2.C5.C.C20.C46.3C5.6C.3C.C.C2.C2.
C2.C3.C$368.C2.C2.C2.C2.CBAC.3CBC12.C2.C20.8CBA4CBA4CBA21C2.C.C.C.C4.
C2.C2.C2.C3.C2.C2.C3.C$367.C2.C3.C.3BA2.A3.C.B13.C.2C63.C.C4.3C2.5C2.
C2.4C.2C2.C3.C$366.C2.A4.C2.C7.C2.A.C76.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.
C$365.C2.B3.A.2CB.C.3C.3C2.7CAB4CAB4CAB4CAB3C.12CAB10CAB4CAB4CAB4CABC
4.C3.C5.C5.C.C.3C3.C2.C3.C$364.C2.CB.2CAB5.2C.2C.C2.C.C28.C45.C.C2.4C
2.C.C3.C3.3C.C3.C2.C3.C$363.C2.C2.A2.A3.A3.C.C3.2C2.C5.C.2C19.C37.C8.
3C5.6C.3C.C.C2.C2.C2.C3.C$362.C2.C2.C2.C2.CBAC.5C12.C2.C20.2CBA4CBA4C
BA4CBA10CBA9C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$361.C2.C3.C.3BA2.A3.C.
C13.C.2C63.C.C4.3C2.5C2.C2.4C.2C2.C3.C$360.C2.A4.C2.C7.C2.C.A76.4C3.
2C.C.2C.C.C2.C2.C5.C2.C3.C$359.C2.B3.A.2CB.C.3C.3C2.CAB10CAB4CAB4CAB
3C.AB16CAB10CAB4CAB4CABC4.C3.C5.C5.C.C.3C3.C2.C3.C$358.C2.CB.2CAB5.2C
.2C.C2.C.A28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$357.C2.C2.A2.A3.A3.C.
C3.2C2.C5.C.C20.C31.C14.3C5.6C.3C.C.C2.C2.C2.C3.C$356.C2.C2.C2.C2.CBA
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355.C2.C3.C.3BA2.A3.C.C13.C2.C63.C.A4.3C2.5C2.C2.4C.2C2.C3.C$354.C2.A
4.C2.C7.C2.C.C76.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$353.C2.B3.A.2CB.C.3C
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352.C2.CB.2CAB5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$
351.C2.C2.A2.A3.A3.C.C3.2C2.C5.C.2C19.C25.C20.3C5.6C.3C.C.C2.C2.C2.C
3.C$350.C2.C2.C2.C2.CBAC.5C12.C.C21.2CBA4CBA10CBA16CBA3C2.C.C.C.C4.C
2.C2.C2.C3.C2.C2.C3.C$349.C2.C3.C.3BA2.A3.C.C13.C2.C63.C.A4.3C2.5C2.C
2.4C.2C2.C3.C$348.C2.A4.C2.C7.C2.C.C76.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.
C$347.C2.B3.A.2CB.C.3C.3C2.19CAB4CAB3C.12CAB16CAB13C4.C3.C5.C5.C.C.3C
3.C2.C3.C$346.C2.CB.2CAB5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C
2.C3.C$345.C2.C2.A2.A3.A3.C.C3.2C2.C5.C.C9.C10.C19.C26.3C5.6C.3C.C.C
2.C2.C2.C3.C$344.C2.C2.C2.C2.CBAC.5C12.C.2C20.2CBA4CBA22CBA4CBA3C2.C.
C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$343.C2.C3.C.3BA2.A3.C.C13.C.2C63.C.A4.
3C2.5C2.C2.4C.2C2.C3.C$342.C2.A4.C2.C7.C2.C.A76.A3B3.2C.C.2C.C.C2.C2.
C5.C2.C3.C$341.C2.B3.A.2CB.C.3C.3C2.CAB16CAB4CAB3C.AB16CAB16CAB4CABC
4.C3.C5.C5.C.C.3C3.C2.C3.C$340.C2.CB.2CAB5.2C.2C.C2.C.A28.C45.C.C2.4C
2.C.C3.C3.3C.C3.C2.C3.C$339.C2.C2.A2.A3.A3.C.C3.2C2.C5.C.2C19.C13.C
32.3C5.6C.3C.C.C2.C2.C2.C3.C$338.C2.C2.C2.C2.CBAC.5C12.C2.C20.2CBA4CB
A16CBA4CBA9C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$337.C2.C3.C.3BA2.A3.C.C
13.C2.C63.C.A4.3C2.5C2.C2.4C.2C2.C3.C$336.C2.A4.C2.C7.C2.C.A76.A3B3.
2C.C.2C.C.C2.C2.C5.C2.C3.C$335.C2.B3.A.2CB.C.3C.3C2.CAB4CAB21C.AB4CAB
10CAB4CAB19C4.C3.C5.C5.C.C.3C3.C2.C3.C$334.C2.CB.2CAB5.2C.2C.C2.C.A
28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$333.C2.C2.A2.A3.A3.C.C3.2C2.C5.
C.2C19.C7.C38.3C5.6C.3C.C.C2.C2.C2.C3.C$332.C2.C2.C2.C2.CBAC.5C12.C.
2C20.20CBA4CBA4CBA9C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$331.C2.C3.C.3BA
2.A3.C.C13.C.2C63.C.C4.3C2.5C2.C2.4C.2C2.C3.C$330.C2.A4.C2.C7.C2.C.A
76.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$329.C2.B3.A.2CB.C.3C.3C2.CAB4CAB4CA
B15C.18CAB4CAB4CAB13C4.C3.C5.C5.C.C.3C3.C2.C3.C$328.C2.CB.2CAB5.2C.2C
.C2.C.A28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$327.C2.C2.A2.A3.A3.C.C3.
2C2.C5.C.2C19.C.C44.3C5.6C.3C.C.C2.C2.C2.C3.C$326.C2.C2.C2.C2.CBAC.5C
12.C.2C20.14CBA4CBA4CBA4CBA4CBA3C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$
325.C2.C3.C.3BA2.A3.C.C13.C2.C63.C.A4.3C2.5C2.C2.4C.2C2.C3.C$324.C2.A
4.C2.C7.C2.C.C31.C44.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$323.C2.B3.A.2CB.
C.3C.3C2.7CAB4CAB4CAB9C.24CAB10CAB7C4.C3.C5.C5.C.C.3C3.C2.C3.C$322.C
2.CB.2CAB5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$321.C2.C
2.A2.A3.A3.C.C3.2C2.C5.C22.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$320.C2.C2.C
2.C2.CBAC.5C13.C.2C19.8CBA4CBA4CBA16CBA3C2.C.C.C.C4.C2.C2.C2.C3.C2.C
2.A3.C$319.C2.C3.C.3BA2.A3.C.C13.2C.2C62.C.C4.3C2.5C2.C2.4C.2C2.B3.C$
318.C2.A4.C2.C7.C2.C.C37.C38.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$317.C2.B
3.A.2CB.C.3C.3C2.30C.42CABC4.C3.C5.C5.C.C.3C3.C2.C3.C$316.C2.CB.2CAB
5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$315.C2.C2.A2.A3.A
3.C.C3.2C2.C5.C2.C19.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$314.C2.C2.C2.C2.CB
AC.5C13.C.C20.43C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$313.C2.C3.C.3BA2.A
3.C.C13.2C.C63.C.C4.3C2.5C2.C2.4C.2C2.B3.C$312.C2.A4.C2.C7.C2.C.A43.C
32.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$311.C2.B3.A.2CB.C.3C.3C2.CAB10CAB4C
AB4CAB3C.AB43C4.C3.C5.C5.C.C.3C3.C2.C3.C$310.C2.CB.2CAB5.2C.2C.C2.C.A
28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$309.C2.C2.A2.A3.A3.C.C3.2C2.C5.
C2.C19.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$308.C2.C2.C2.C2.CBAC.5C13.C2.C
19.2CBA4CBA4CBA10CBA15C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$307.C2.C3.C.
3BA2.A3.C.C13.2C.2C62.C.A4.3C2.5C2.C2.4C.2C2.B3.C$306.C2.A4.C2.C7.C2.
C.C49.C26.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$305.C2.B3.A.2CB.C.3C.3C2.
19CAB4CAB3C.AB4CAB22CAB4CAB4CABC4.C3.C5.C5.C.C.3C3.C2.C3.A$304.C2.CB.
2CAB5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.B$303.C2.C2.A2.
A3.A3.C.C3.2C2.C5.C2.2C18.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$302.C2.C2.C2.
C2.CBAC.5C13.C2.C19.2CBA4CBA33C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$301.
C2.C3.C.3BA2.A3.C.C13.2C.2C62.C.A4.3C2.5C2.C2.4C.2C2.B3.C$300.C2.C4.C
2.C7.C2.C.C55.C20.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$299.C2.C3.A.2CB.C.
3C.3C2.30C.AB4CAB4CAB16CAB13C4.C3.C5.C5.C.C.3C3.C2.C3.A$298.C2.2C.2CA
B5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.B$297.C2.C2.C2.A3.
A3.C.C3.2C2.C5.C2.C8.C10.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$296.C2.C2.C2.C
2.CBAC.5C13.C.2C19.2CBA4CBA4CBA16CBA9C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A
3.C$295.C2.C3.C.3BA2.A3.C.C13.2C2.C62.C.A4.3C2.5C2.C2.4C.2C2.B3.C$
294.C2.C4.C2.C7.C2.C.A61.C14.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$293.C2.C
3.A.2CB.C.3C.3C2.CAB16CAB4CAB3C.18CAB16CAB7C4.C3.C5.C5.C.C.3C3.C2.C3.
A$292.C2.2C.2CAB5.2C.2C.C2.C.A28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.B$
291.C2.C2.C2.A3.A3.C.C3.2C2.C5.C2.2C18.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$
290.C2.C2.C2.C2.CBAC.5C13.C.C20.26CBA4CBA4CBA3C2.C.C.C.C4.C2.C2.C2.C
3.C2.C2.A3.C$289.C2.C3.C.4C2.A3.C.C13.2C2.C62.C.A4.3C2.5C2.C2.4C.2C2.
B3.C$288.C2.C4.C2.C7.C2.C.C67.C8.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$287.
C2.C3.C.3C.C.3C.3C2.7CAB21C.45C4.C3.C5.C5.C.C.3C3.C2.C3.A$286.C2.2C.
4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.B$285.C2.C2.C2.C
3.A3.C.C3.2C2.C5.C2.C19.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$284.C2.C2.C2.C
2.CBAC.5C13.C.2C19.43C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$283.C2.C3.C.
4C2.A3.C.C13.2C.2C62.C.C4.3C2.5C2.C2.4C.2C2.B3.C$282.C2.C4.C2.C7.C2.C
.C73.C2.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$281.C2.C3.C.3C.C.3C.3C2.30C.
45C4.C3.C5.C5.C.C.3C3.C2.C3.A$280.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.
4C2.C.C3.C3.3C.C3.C2.C3.B$279.C2.C2.C2.C3.C3.C.C3.2C2.C5.C2.2C18.C46.
3C5.6C.3C.C.C2.C2.C2.C3.C$278.C2.C2.C2.C2.4C.5C13.C2.C19.43C2.C.C.C.C
4.C2.C2.C2.C3.C2.C2.A3.C$277.C2.C3.C.4C2.C3.C.C13.2C2.C62.C.C4.3C2.5C
2.C2.4C.2C2.B3.C$276.C2.C4.C2.C7.C2.C.C76.4C3.2C.C.2C.C.C2.C2.C5.C2.C
3.C$275.C2.C3.C.3C.C.3C.3C2.30C.45C4.C3.C5.C5.C.C.3C3.C2.C3.A$274.C2.
2C.4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.B$273.C2.C2.C
2.C3.C3.C.C3.2C2.C5.C2.2C18.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$272.C2.C2.C
2.C2.4C.5C13.C.2C19.43C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$271.C2.C3.C.
4C2.C3.C.C13.2C.2C62.C.C4.3C2.5C2.C2.4C.2C2.B3.C$270.C2.C4.C2.C7.C2.C
.C76.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$269.C2.C3.C.3C.C.3C.3C2.30C.45C4.
C3.C5.C5.C.C.3C3.C2.C3.A$268.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.
C3.C3.3C.C3.C2.C3.B$267.C2.C2.C2.C3.C3.C.C3.2C2.C5.C2.2C18.C46.3C5.6C
.3C.C.C2.C2.C2.C3.C$266.C2.C2.C2.C2.4C.5C13.C.2C19.43C2.C.C.C.C4.C2.C
2.C2.C3.C2.C2.A3.C$265.C2.C3.C.4C2.C3.C.C13.2C2.C62.C.C4.3C2.5C2.C2.
4C.2C2.B3.C$264.C2.C4.C2.C7.C2.C.C76.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$
263.C2.C3.C.3C.C.3C.3C2.30C.45C4.C3.C5.C5.C.C.3C3.C2.C3.A$262.C2.2C.
4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.B$261.C2.C2.C2.C
3.C3.C.C3.2C2.C5.2C21.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$260.C2.C2.C2.C2.
4C.5C13.C.2C19.43C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$259.C2.C3.C.4C2.C
3.C.C13.2C.2C62.C.C4.3C2.5C2.C2.4C.2C2.B3.C$258.C2.C4.C2.C7.C2.C.C76.
4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$257.C2.C3.C.3C.C.3C.3C2.13CAB15C.45C4.
C3.C5.C5.C.C.3C3.C2.C3.A$256.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.
C3.C3.3C.C3.C2.C3.B$255.C2.C2.C2.C3.C3.C.C3.2C2.C5.2C.C19.C46.3C5.6C.
3C.C.C2.C2.C2.C3.C$254.C2.C2.C2.C2.4C.5C13.C.C20.14CBA27C2.C.C.C.C4.C
2.C2.C2.C3.C2.C2.A3.C$253.C2.C3.C.4C2.C3.C.C13.2C.C63.C.C4.3C2.5C2.C
2.4C.2C2.B3.C$252.C2.C4.C2.C7.C2.C.A76.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C
$251.C2.C3.C.3C.C.3C.3C2.CAB10CAB4CAB4CAB3C.AB4CAB4CAB4CAB4CAB4CAB4CA
B4CABC4.C3.C5.C5.C.C.3C3.C2.C3.A$250.C2.2C.4C5.2C.2C.C2.C.A28.C45.C.C
2.4C2.C.C3.C3.3C.C3.C2.C3.B$249.C2.C2.C2.C3.C3.C.C3.2C2.C5.2C.C8.C10.
C46.3C5.6C.3C.C.C2.C2.C2.C3.C$248.C2.C2.C2.C2.4C.5C13.C2.C19.2CBA4CBA
4CBA10CBA4CBA4CBA3C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$247.C2.C3.C.4C2.
C3.C.C13.2C.2C62.C.A4.3C2.5C2.C2.4C.2C2.B3.C$246.C2.C4.C2.C7.C2.C.C
76.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$245.C2.C3.C.3C.C.3C.3C2.19CAB9C.AB
43C4.C3.C5.C5.C.C.3C3.C2.C3.A$244.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.
4C2.C.C3.C3.3C.C3.C2.C3.B$243.C2.C2.C2.C3.C3.C.C3.2C2.C5.2C.2C18.C13.
C32.3C5.6C.3C.C.C2.C2.C2.C3.C$242.C2.C2.C2.C2.4C.5C13.C2.C19.8CBA33C
2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$241.C2.C3.C.4C2.C3.C.C13.2C.2C62.C.
C4.3C2.5C2.C2.4C.2C2.B3.C$240.C2.C4.C2.C7.C2.C.C76.4C3.2C.C.2C.C.C2.C
2.C5.C2.C3.C$239.C2.C3.C.3C.C.3C.3C2.25CAB3C.AB43C4.C3.C5.C5.C.C.3C3.
C2.C3.A$238.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C
3.B$237.C2.C2.C2.C3.C3.C.C3.2C2.C5.2C.C19.C7.C38.3C5.6C.3C.C.C2.C2.C
2.C3.C$236.C2.C2.C2.C2.4C.5C13.C.2C19.2CBA39C2.C.C.C.C4.C2.C2.C2.C3.C
2.C2.A3.C$235.C2.C3.C.4C2.C3.C.C13.2C2.C62.C.C4.3C2.5C2.C2.4C.2C2.B3.
C$234.C2.C4.C2.C7.C2.C.A76.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$233.C2.C3.C
.3C.C.3C.3C2.CAB4CAB4CAB4CAB4CAB3C.6CAB4CAB4CAB4CAB4CAB4CAB4CABC4.C3.
C5.C5.C.C.3C3.C2.C3.A$232.C2.2C.4C5.2C.2C.C2.C.A28.C45.C.C2.4C2.C.C3.
C3.3C.C3.C2.C3.B$231.C2.C2.C2.C3.C3.C.C3.2C2.C5.2C.2C18.C.C44.3C5.6C.
3C.C.C2.C2.C2.C3.C$230.C2.C2.C2.C2.4C.5C13.C2.C19.2CBA4CBA4CBA4CBA4CB
A4CBA4CBA3C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.A3.C$229.C2.C3.C.4C2.C3.C.C
13.2C.C63.C.A4.3C2.5C2.C2.4C.2C2.B3.C$228.C2.C4.C2.C7.C2.C.A31.C44.A
3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C$227.C2.C3.C.3C.C.3C.3C2.CAB4CAB4CAB4CA
B4CAB3C.AB4CAB10CAB4CAB4CAB4CAB4CABC4.C3.C5.C5.C.C.3C3.C2.C3.A$226.C
2.2C.4C5.2C.2C.C2.C.A28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.B$225.C2.C2.
C2.C3.C3.C.C3.2C2.C5.2C.C19.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$224.C2.C2.C
2.C2.4C.5C13.C.2C19.2CBA4CBA4CBA4CBA4CBA4CBA4CBA3C2.C.C.C.C4.C2.C2.C
2.C3.C2.C2.C3.C$223.C2.C3.C.4C2.C3.C.C13.2C.2C62.C.A4.3C2.5C2.C2.4C.
2C2.C3.C$222.C2.C4.C2.C7.C2.C.C37.C38.A3B3.2C.C.2C.C.C2.C2.C5.C2.C3.C
$221.C2.C3.C.3C.C.3C.3C2.30C.24CAB10CAB7C4.C3.C5.C5.C.C.3C3.C2.C3.C$
220.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$219.C
2.C2.C2.C3.C3.C.C3.2C2.C5.2C.2C18.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$218.C
2.C2.C2.C2.4C.5C13.C2.C19.43C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$217.C
2.C3.C.4C2.C3.C.C13.2C2.C62.C.C4.3C2.5C2.C2.4C.2C2.C3.C$216.C2.C4.C2.
C7.C2.C.C43.C32.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$215.C2.C3.C.3C.C.3C.3C
2.30C.18CAB10CAB4CAB7C4.C3.C5.C5.C.C.3C3.C2.C3.C$214.C2.2C.4C5.2C.2C.
C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$213.C2.C2.C2.C3.C3.C.C3.
2C2.C5.2C.2C18.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$212.C2.C2.C2.C2.4C.5C13.
C.2C19.43C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$211.C2.C3.C.4C2.C3.C.C13.
2C.2C62.C.C4.3C2.5C2.C2.4C.2C2.C3.C$210.C2.C4.C2.C7.C2.C.C49.C26.4C3.
2C.C.2C.C.C2.C2.C5.C2.C3.C$209.C2.C3.C.3C.C.3C.3C2.30C.24CAB16CABC4.C
3.C5.C5.C.C.3C3.C2.C3.C$208.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C
3.C3.3C.C3.C2.C3.C$207.C2.C2.C2.C3.C3.C.C3.2C2.C5.2C.2C18.C46.3C5.6C.
3C.C.C2.C2.C2.C3.C$206.C2.C2.C2.C2.4C.5C13.C.2C19.43C2.C.C.C.C4.C2.C
2.C2.C3.C2.C2.C3.C$205.C2.C3.C.4C2.C3.C.C13.2C2.C62.C.C4.3C2.5C2.C2.
4C.2C2.C3.C$204.C2.C4.C2.C7.C2.C.C55.C20.4C3.2C.C.2C.C.C2.C2.C5.C2.C
3.C$203.C2.C3.C.3C.C.3C.3C2.30C.30CAB10CABC4.C3.C5.C5.C.C.3C3.C2.C3.C
$202.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$201.
C2.C2.C2.C3.C3.C.C3.2C2.C5.C11.C10.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$200.
C2.C2.C2.C2.4C.5C12.2C.2C19.43C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$199.
C2.C3.C.4C2.C3.C.C14.C.2C62.C.C4.3C2.5C2.C2.4C.2C2.C3.C$198.C2.C4.C2.
C7.C2.C.C61.C14.4C3.2C.C.2C.C.C2.C2.C5.C2.C3.C$197.C2.C3.C.3C.C.3C.3C
2.30C.36CAB7C4.C3.C5.C5.C.C.3C3.C2.C3.C$196.C2.2C.4C5.2C.2C.C2.C.C28.
C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.C$195.C2.C2.C2.C3.C3.C.C3.2C2.C5.C2.
C19.C46.3C5.6C.3C.C.C2.C2.C2.C3.C$194.C2.C2.C2.C2.4C.5C12.2C.C20.32CB
A9C2.C.C.C.C4.C2.C2.C2.C3.C2.C2.C3.C$193.C2.C3.C.4C2.C3.C.C14.C.C63.C
.A4.3C2.5C2.C2.4C.2C2.C3.C$192.C2.C4.C2.C7.C2.C.C67.C8.A3B3.2C.C.2C.C
.C2.C2.C5.C2.C3.C$191.C2.C3.C.3C.C.3C.3C2.30C.45C4.C3.C5.C5.C.C.3C3.C
2.C3.C$190.C2.2C.4C5.2C.2C.C2.C.C28.C45.C.C2.4C2.C.C3.C3.3C.C3.C2.C3.