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authorElizabeth Alexander Hunt <me@liz.coffee>2026-07-02 11:55:17 -0700
committerElizabeth Alexander Hunt <me@liz.coffee>2026-07-02 11:55:17 -0700
commit6bf4b90c90f15f4ab60833bddf5b5756d1a6b1f6 (patch)
treeed97e39ec77c5231ffd2c394493e68d00ddac5a4 /Homework/cs5300/homework-four
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+<head>
+<!-- 2023-02-12 Sun 17:33 -->
+<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
+<meta name="viewport" content="width=device-width, initial-scale=1" />
+<title>Assignment Three</title>
+<meta name="author" content="Lizzy Hunt" />
+<meta name="generator" content="Org Mode" />
+<style>
+ #content { max-width: 60em; margin: auto; }
+ .title { text-align: center;
+ margin-bottom: .2em; }
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+ font-weight: bold;
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+ .timestamp { color: #bebebe; }
+ .timestamp-kwd { color: #5f9ea0; }
+ .org-right { margin-left: auto; margin-right: 0px; text-align: right; }
+ .org-left { margin-left: 0px; margin-right: auto; text-align: left; }
+ .org-center { margin-left: auto; margin-right: auto; text-align: center; }
+ .underline { text-decoration: underline; }
+ #postamble p, #preamble p { font-size: 90%; margin: .2em; }
+ p.verse { margin-left: 3%; }
+ pre {
+ border: 1px solid #e6e6e6;
+ border-radius: 3px;
+ background-color: #f2f2f2;
+ padding: 8pt;
+ font-family: monospace;
+ overflow: auto;
+ margin: 1.2em;
+ }
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+ position: relative;
+ overflow: auto;
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+ display: none;
+ position: absolute;
+ top: -8px;
+ right: 12px;
+ padding: 3px;
+ color: #555;
+ background-color: #f2f2f299;
+ }
+ pre.src:hover:before { display: inline; margin-top: 14px;}
+ /* Languages per Org manual */
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+ pre.src-awk:before { content: 'Awk'; }
+ pre.src-authinfo::before { content: 'Authinfo'; }
+ pre.src-C:before { content: 'C'; }
+ /* pre.src-C++ doesn't work in CSS */
+ pre.src-clojure:before { content: 'Clojure'; }
+ pre.src-css:before { content: 'CSS'; }
+ pre.src-D:before { content: 'D'; }
+ pre.src-ditaa:before { content: 'ditaa'; }
+ pre.src-dot:before { content: 'Graphviz'; }
+ pre.src-calc:before { content: 'Emacs Calc'; }
+ pre.src-emacs-lisp:before { content: 'Emacs Lisp'; }
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+ pre.src-gnuplot:before { content: 'gnuplot'; }
+ pre.src-haskell:before { content: 'Haskell'; }
+ pre.src-hledger:before { content: 'hledger'; }
+ pre.src-java:before { content: 'Java'; }
+ pre.src-js:before { content: 'Javascript'; }
+ pre.src-latex:before { content: 'LaTeX'; }
+ pre.src-ledger:before { content: 'Ledger'; }
+ pre.src-lisp:before { content: 'Lisp'; }
+ pre.src-lilypond:before { content: 'Lilypond'; }
+ pre.src-lua:before { content: 'Lua'; }
+ pre.src-matlab:before { content: 'MATLAB'; }
+ pre.src-mscgen:before { content: 'Mscgen'; }
+ pre.src-ocaml:before { content: 'Objective Caml'; }
+ pre.src-octave:before { content: 'Octave'; }
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+ pre.src-ruby:before { content: 'Ruby'; }
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+ pre.src-scheme:before { content: 'Scheme'; }
+ pre.src-screen:before { content: 'Gnu Screen'; }
+ pre.src-sed:before { content: 'Sed'; }
+ pre.src-sh:before { content: 'shell'; }
+ pre.src-sql:before { content: 'SQL'; }
+ pre.src-sqlite:before { content: 'SQLite'; }
+ /* additional languages in org.el's org-babel-load-languages alist */
+ pre.src-forth:before { content: 'Forth'; }
+ pre.src-io:before { content: 'IO'; }
+ pre.src-J:before { content: 'J'; }
+ pre.src-makefile:before { content: 'Makefile'; }
+ pre.src-maxima:before { content: 'Maxima'; }
+ pre.src-perl:before { content: 'Perl'; }
+ pre.src-picolisp:before { content: 'Pico Lisp'; }
+ pre.src-scala:before { content: 'Scala'; }
+ pre.src-shell:before { content: 'Shell Script'; }
+ pre.src-ebnf2ps:before { content: 'ebfn2ps'; }
+ /* additional language identifiers per "defun org-babel-execute"
+ in ob-*.el */
+ pre.src-cpp:before { content: 'C++'; }
+ pre.src-abc:before { content: 'ABC'; }
+ pre.src-coq:before { content: 'Coq'; }
+ pre.src-groovy:before { content: 'Groovy'; }
+ /* additional language identifiers from org-babel-shell-names in
+ ob-shell.el: ob-shell is the only babel language using a lambda to put
+ the execution function name together. */
+ pre.src-bash:before { content: 'bash'; }
+ pre.src-csh:before { content: 'csh'; }
+ pre.src-ash:before { content: 'ash'; }
+ pre.src-dash:before { content: 'dash'; }
+ pre.src-ksh:before { content: 'ksh'; }
+ pre.src-mksh:before { content: 'mksh'; }
+ pre.src-posh:before { content: 'posh'; }
+ /* Additional Emacs modes also supported by the LaTeX listings package */
+ pre.src-ada:before { content: 'Ada'; }
+ pre.src-asm:before { content: 'Assembler'; }
+ pre.src-caml:before { content: 'Caml'; }
+ pre.src-delphi:before { content: 'Delphi'; }
+ pre.src-html:before { content: 'HTML'; }
+ pre.src-idl:before { content: 'IDL'; }
+ pre.src-mercury:before { content: 'Mercury'; }
+ pre.src-metapost:before { content: 'MetaPost'; }
+ pre.src-modula-2:before { content: 'Modula-2'; }
+ pre.src-pascal:before { content: 'Pascal'; }
+ pre.src-ps:before { content: 'PostScript'; }
+ pre.src-prolog:before { content: 'Prolog'; }
+ pre.src-simula:before { content: 'Simula'; }
+ pre.src-tcl:before { content: 'tcl'; }
+ pre.src-tex:before { content: 'TeX'; }
+ pre.src-plain-tex:before { content: 'Plain TeX'; }
+ pre.src-verilog:before { content: 'Verilog'; }
+ pre.src-vhdl:before { content: 'VHDL'; }
+ pre.src-xml:before { content: 'XML'; }
+ pre.src-nxml:before { content: 'XML'; }
+ /* add a generic configuration mode; LaTeX export needs an additional
+ (add-to-list 'org-latex-listings-langs '(conf " ")) in .emacs */
+ pre.src-conf:before { content: 'Configuration File'; }
+
+ table { border-collapse:collapse; }
+ caption.t-above { caption-side: top; }
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+ td, th { vertical-align:top; }
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+ th.org-left { text-align: center; }
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+ td.org-right { text-align: right; }
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+ td.org-center { text-align: center; }
+ dt { font-weight: bold; }
+ .footpara { display: inline; }
+ .footdef { margin-bottom: 1em; }
+ .figure { padding: 1em; }
+ .figure p { text-align: center; }
+ .equation-container {
+ display: table;
+ text-align: center;
+ width: 100%;
+ }
+ .equation {
+ vertical-align: middle;
+ }
+ .equation-label {
+ display: table-cell;
+ text-align: right;
+ vertical-align: middle;
+ }
+ .inlinetask {
+ padding: 10px;
+ border: 2px solid gray;
+ margin: 10px;
+ background: #ffffcc;
+ }
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+ { text-align: right; font-size: 70%; white-space: nowrap; }
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+ .org-info-js_search-highlight
+ { background-color: #ffff00; color: #000000; font-weight: bold; }
+ .org-svg { }
+</style>
+</head>
+<body>
+<div id="content" class="content">
+<h1 class="title">Assignment Three</h1>
+
+<div id="outline-container-org7e0749d" class="outline-2">
+<h2 id="org7e0749d"><span class="section-number-2">1.</span> Question One</h2>
+<div class="outline-text-2" id="text-1">
+</div>
+<div id="outline-container-org107c001" class="outline-3">
+<h3 id="org107c001"><span class="section-number-3">1.1.</span> a</h3>
+<div class="outline-text-3" id="text-1-1">
+
+<div id="orgbf0d7d2" class="figure">
+<p><img src="./1a.excalidraw.png" alt="1a.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+<div id="outline-container-orgf901103" class="outline-3">
+<h3 id="orgf901103"><span class="section-number-3">1.2.</span> b</h3>
+<div class="outline-text-3" id="text-1-2">
+
+<div id="org62ecf1f" class="figure">
+<p><img src="./1b.excalidraw.png" alt="1b.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+<div id="outline-container-org1fe7828" class="outline-3">
+<h3 id="org1fe7828"><span class="section-number-3">1.3.</span> c</h3>
+<div class="outline-text-3" id="text-1-3">
+
+<div id="org26be2ab" class="figure">
+<p><img src="./1c.excalidraw.png" alt="1c.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+<div id="outline-container-orge5de671" class="outline-3">
+<h3 id="orge5de671"><span class="section-number-3">1.4.</span> d</h3>
+<div class="outline-text-3" id="text-1-4">
+
+<div id="orgc536c3f" class="figure">
+<p><img src="./1d.excalidraw.png" alt="1d.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+<div id="outline-container-orgecd6420" class="outline-3">
+<h3 id="orgecd6420"><span class="section-number-3">1.5.</span> e</h3>
+<div class="outline-text-3" id="text-1-5">
+
+<div id="org1dc2d79" class="figure">
+<p><img src="./1e.excalidraw.png" alt="1e.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+<div id="outline-container-orgca3f84d" class="outline-3">
+<h3 id="orgca3f84d"><span class="section-number-3">1.6.</span> f</h3>
+<div class="outline-text-3" id="text-1-6">
+
+<div id="org9785c54" class="figure">
+<p><img src="./1f.excalidraw.png" alt="1f.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org7c2f734" class="outline-2">
+<h2 id="org7c2f734"><span class="section-number-2">2.</span> Question Two</h2>
+<div class="outline-text-2" id="text-2">
+<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
+
+
+<colgroup>
+<col class="org-right" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+</colgroup>
+<tbody>
+<tr>
+<td class="org-right">State</td>
+<td class="org-left">a</td>
+<td class="org-left">b</td>
+<td class="org-left">e</td>
+</tr>
+
+<tr>
+<td class="org-right">0</td>
+<td class="org-left">&phi;</td>
+<td class="org-left">&phi;</td>
+<td class="org-left">{1, 3}</td>
+</tr>
+
+<tr>
+<td class="org-right">1</td>
+<td class="org-left">{2, 4}</td>
+<td class="org-left">{4}</td>
+<td class="org-left">&phi;</td>
+</tr>
+
+<tr>
+<td class="org-right">2</td>
+<td class="org-left">{2}</td>
+<td class="org-left">&phi;</td>
+<td class="org-left">&phi;</td>
+</tr>
+
+<tr>
+<td class="org-right">3</td>
+<td class="org-left">&phi;</td>
+<td class="org-left">{4}</td>
+<td class="org-left">&phi;</td>
+</tr>
+
+<tr>
+<td class="org-right">4</td>
+<td class="org-left">&phi;</td>
+<td class="org-left">{4}</td>
+<td class="org-left">&phi;</td>
+</tr>
+</tbody>
+</table>
+</div>
+</div>
+
+<div id="outline-container-orgbcbd2f9" class="outline-2">
+<h2 id="orgbcbd2f9"><span class="section-number-2">3.</span> Question Three</h2>
+<div class="outline-text-2" id="text-3">
+<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
+
+
+<colgroup>
+<col class="org-right" />
+
+<col class="org-right" />
+
+<col class="org-right" />
+</colgroup>
+<tbody>
+<tr>
+<td class="org-right">State</td>
+<td class="org-right">a</td>
+<td class="org-right">b</td>
+</tr>
+
+<tr>
+<td class="org-right">0</td>
+<td class="org-right">1</td>
+<td class="org-right">0</td>
+</tr>
+
+<tr>
+<td class="org-right">1</td>
+<td class="org-right">1</td>
+<td class="org-right">2</td>
+</tr>
+
+<tr>
+<td class="org-right">2</td>
+<td class="org-right">1</td>
+<td class="org-right">3</td>
+</tr>
+
+<tr>
+<td class="org-right">3</td>
+<td class="org-right">1</td>
+<td class="org-right">0</td>
+</tr>
+</tbody>
+</table>
+</div>
+</div>
+
+<div id="outline-container-orgaf65b7e" class="outline-2">
+<h2 id="orgaf65b7e"><span class="section-number-2">4.</span> Question Four</h2>
+<div class="outline-text-2" id="text-4">
+</div>
+<div id="outline-container-org4be19f8" class="outline-3">
+<h3 id="org4be19f8"><span class="section-number-3">4.1.</span> a</h3>
+<div class="outline-text-3" id="text-4-1">
+
+<div id="orgcc9f99e" class="figure">
+<p><img src="./4a.excalidraw.png" alt="4a.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+<div id="outline-container-orgd115a75" class="outline-3">
+<h3 id="orgd115a75"><span class="section-number-3">4.2.</span> b</h3>
+<div class="outline-text-3" id="text-4-2">
+<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
+
+
+<colgroup>
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+</colgroup>
+<tbody>
+<tr>
+<td class="org-left">DFA State</td>
+<td class="org-left">NFA States</td>
+<td class="org-left">a</td>
+<td class="org-left">b</td>
+<td class="org-left">c</td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>0</sub></td>
+<td class="org-left">{s<sub>0</sub>, s<sub>1</sub>, s<sub>2</sub>, s<sub>5</sub>, s<sub>9</sub>}</td>
+<td class="org-left">{s<sub>3</sub>, s<sub>6</sub>} (d<sub>1</sub>)</td>
+<td class="org-left">s<sub>e</sub></td>
+<td class="org-left">s<sub>e</sub></td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>1</sub></td>
+<td class="org-left">{s<sub>3</sub>, s<sub>6</sub>}</td>
+<td class="org-left">s<sub>e</sub></td>
+<td class="org-left">{s<sub>4</sub>, s<sub>8</sub>, s<sub>9</sub>, s<sub>1</sub>, s<sub>2</sub>, s<sub>5</sub>} (d<sub>2</sub>)</td>
+<td class="org-left">{s<sub>7</sub>, s<sub>8</sub>, s<sub>9</sub>, s<sub>1</sub>, s<sub>2</sub>, s<sub>5</sub>} (d<sub>3</sub>)</td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>2</sub></td>
+<td class="org-left">{s<sub>4</sub>, s<sub>8</sub>, s<sub>9</sub>, s<sub>1</sub>, s<sub>2</sub>, s<sub>5</sub>}</td>
+<td class="org-left">{s<sub>3</sub>, s<sub>6</sub>} (d<sub>1</sub>)</td>
+<td class="org-left">s<sub>e</sub></td>
+<td class="org-left">s<sub>e</sub></td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>3</sub></td>
+<td class="org-left">{s<sub>7</sub>, s<sub>8</sub>, s<sub>9</sub>, s<sub>1</sub>, s<sub>2</sub>, s<sub>5</sub>}</td>
+<td class="org-left">{s<sub>3</sub>, s<sub>6</sub>} (d<sub>1</sub>)</td>
+<td class="org-left">s<sub>e</sub></td>
+<td class="org-left">s<sub>e</sub></td>
+</tr>
+</tbody>
+</table>
+
+
+<div id="org8f60a9e" class="figure">
+<p><img src="./4b.excalidraw.png" alt="4b.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+<div id="outline-container-org666b996" class="outline-3">
+<h3 id="org666b996"><span class="section-number-3">4.3.</span> c</h3>
+<div class="outline-text-3" id="text-4-3">
+<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
+
+
+<colgroup>
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+</colgroup>
+<tbody>
+<tr>
+<td class="org-left">partition</td>
+<td class="org-left">a</td>
+<td class="org-left">b</td>
+<td class="org-left">c</td>
+</tr>
+
+<tr>
+<td class="org-left">{d<sub>1</sub>}, {d<sub>0</sub>, d<sub>2</sub>, d<sub>3</sub>}</td>
+<td class="org-left">{d<sub>0</sub>, d<sub>2</sub>, d<sub>3</sub>} &rArr; {d<sub>1</sub>, d<sub>0</sub>, d<sub>0</sub>}</td>
+<td class="org-left">{d<sub>0</sub>, d<sub>2</sub>, d<sub>3</sub>} &rArr; {-, -, -}</td>
+<td class="org-left">{d<sub>0</sub>, d<sub>2</sub>, d<sub>3</sub>} &rArr; {-, -, -}</td>
+</tr>
+
+<tr>
+<td class="org-left">{d<sub>1</sub>}, {d<sub>0</sub>}, {d<sub>2</sub>, d<sub>3</sub>}</td>
+<td class="org-left">{d<sub>2</sub>, d<sub>3</sub>} &rArr; {d<sub>0</sub>, d<sub>0</sub>}</td>
+<td class="org-left">{d<sub>2</sub>, d<sub>3</sub>} &rArr; {-, -}</td>
+<td class="org-left">{d<sub>2</sub>, d<sub>3</sub>} &rArr; {-, -}</td>
+</tr>
+</tbody>
+</table>
+
+
+<div id="org16f148c" class="figure">
+<p><img src="./4c.excalidraw.png" alt="4c.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+</div>
+
+<div id="outline-container-orgcacfc17" class="outline-2">
+<h2 id="orgcacfc17"><span class="section-number-2">5.</span> Question Five</h2>
+<div class="outline-text-2" id="text-5">
+</div>
+<div id="outline-container-org3f7b0bc" class="outline-3">
+<h3 id="org3f7b0bc"><span class="section-number-3">5.1.</span> regex 1</h3>
+<div class="outline-text-3" id="text-5-1">
+</div>
+<div id="outline-container-org52b54a4" class="outline-4">
+<h4 id="org52b54a4"><span class="section-number-4">5.1.1.</span> NFA</h4>
+<div class="outline-text-4" id="text-5-1-1">
+
+<div id="org956aa58" class="figure">
+<p><img src="./51a.excalidraw.png" alt="51a.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org090cd4b" class="outline-4">
+<h4 id="org090cd4b"><span class="section-number-4">5.1.2.</span> DFA</h4>
+<div class="outline-text-4" id="text-5-1-2">
+<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
+
+
+<colgroup>
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+</colgroup>
+<tbody>
+<tr>
+<td class="org-left">DFA State</td>
+<td class="org-left">NFA States</td>
+<td class="org-left">1</td>
+<td class="org-left">0</td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>0</sub></td>
+<td class="org-left">{s<sub>0</sub>, s<sub>1</sub>, s<sub>2</sub>, s<sub>4</sub>, s<sub>7</sub>}</td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>4</sub>, s<sub>6</sub>, s<sub>7</sub>} (d<sub>1</sub>)</td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>4</sub>, s<sub>5</sub>, s<sub>6</sub>, s<sub>7</sub>} (d<sub>2</sub>)</td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>1</sub></td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>4</sub>, s<sub>6</sub>, s<sub>7</sub>}</td>
+<td class="org-left">d<sub>1</sub></td>
+<td class="org-left">d<sub>2</sub></td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>2</sub></td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>4</sub>, s<sub>5</sub>, s<sub>6</sub>, s<sub>7</sub>}</td>
+<td class="org-left">d<sub>1</sub></td>
+<td class="org-left">d<sub>2</sub></td>
+</tr>
+</tbody>
+</table>
+
+
+<div id="org7bed478" class="figure">
+<p><img src="./51b.excalidraw.png" alt="51b.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org62cf966" class="outline-4">
+<h4 id="org62cf966"><span class="section-number-4">5.1.3.</span> Minimization</h4>
+<div class="outline-text-4" id="text-5-1-3">
+<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
+
+
+<colgroup>
+<col class="org-left" />
+
+<col class="org-right" />
+
+<col class="org-right" />
+</colgroup>
+<tbody>
+<tr>
+<td class="org-left">partition</td>
+<td class="org-right">1</td>
+<td class="org-right">0</td>
+</tr>
+
+<tr>
+<td class="org-left">{d<sub>0</sub>, d<sub>1</sub>, d<sub>2</sub>}</td>
+<td class="org-right">{d<sub>0</sub>, d<sub>1</sub>, d<sub>2</sub>} &rArr; {d<sub>1</sub>, d<sub>1</sub>, d<sub>1</sub>}</td>
+<td class="org-right">{d<sub>0</sub>, d<sub>1</sub>, d<sub>2</sub>} &rArr; {d<sub>2</sub>, d<sub>2</sub>, d<sub>2</sub>}</td>
+</tr>
+</tbody>
+</table>
+
+
+<div id="org614c57e" class="figure">
+<p><img src="./51c.excalidraw.png" alt="51c.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+</div>
+
+<div id="outline-container-orgd3af6b5" class="outline-3">
+<h3 id="orgd3af6b5"><span class="section-number-3">5.2.</span> regex 2</h3>
+<div class="outline-text-3" id="text-5-2">
+</div>
+<div id="outline-container-org849c5a4" class="outline-4">
+<h4 id="org849c5a4"><span class="section-number-4">5.2.1.</span> NFA</h4>
+<div class="outline-text-4" id="text-5-2-1">
+
+<div id="orgbfe6a52" class="figure">
+<p><img src="./52a.excalidraw.png" alt="52a.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+<div id="outline-container-org3131975" class="outline-4">
+<h4 id="org3131975"><span class="section-number-4">5.2.2.</span> DFA</h4>
+<div class="outline-text-4" id="text-5-2-2">
+<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
+
+
+<colgroup>
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+
+<col class="org-left" />
+</colgroup>
+<tbody>
+<tr>
+<td class="org-left">DFA State</td>
+<td class="org-left">NFA States</td>
+<td class="org-left">1</td>
+<td class="org-left">0</td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>0</sub></td>
+<td class="org-left">{s<sub>0</sub>, s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>5</sub>, s<sub>11</sub>, s<sub>6</sub>, s<sub>12</sub> }</td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>5</sub>, s<sub>6</sub>, s<sub>7</sub>, s<sub>8</sub>, s<sub>10</sub>, s<sub>11</sub>, s<sub>12</sub>} (d<sub>1</sub>)</td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>4</sub>, s<sub>5</sub>, s<sub>11</sub>, s<sub>6</sub>, s<sub>12</sub>} (d<sub>2</sub>)</td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>1</sub></td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>5</sub>, s<sub>6</sub>, s<sub>7</sub>, s<sub>8</sub>, s<sub>10</sub>, s<sub>11</sub>, s<sub>12</sub>}</td>
+<td class="org-left">d<sub>1</sub></td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>4</sub>, s<sub>5</sub>, s<sub>9</sub>, s<sub>11</sub>, s<sub>6</sub>, s<sub>12</sub>} (d<sub>3</sub>)</td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>2</sub></td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>4</sub>, s<sub>5</sub>, s<sub>11</sub>, s<sub>6</sub>}</td>
+<td class="org-left">d<sub>1</sub></td>
+<td class="org-left">d<sub>2</sub></td>
+</tr>
+
+<tr>
+<td class="org-left">d<sub>3</sub></td>
+<td class="org-left">{s<sub>1</sub>, s<sub>2</sub>, s<sub>3</sub>, s<sub>4</sub>, s<sub>5</sub>, s<sub>9</sub>, s<sub>11</sub>, s<sub>6</sub>, s<sub>12</sub>}</td>
+<td class="org-left">d<sub>1</sub></td>
+<td class="org-left">d<sub>2</sub></td>
+</tr>
+</tbody>
+</table>
+
+
+<div id="orgf90b87b" class="figure">
+<p><img src="./52b.excalidraw.png" alt="52b.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org83ddae3" class="outline-4">
+<h4 id="org83ddae3"><span class="section-number-4">5.2.3.</span> Minimization</h4>
+<div class="outline-text-4" id="text-5-2-3">
+<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
+
+
+<colgroup>
+<col class="org-left" />
+
+<col class="org-right" />
+
+<col class="org-right" />
+</colgroup>
+<tbody>
+<tr>
+<td class="org-left">partition</td>
+<td class="org-right">1</td>
+<td class="org-right">0</td>
+</tr>
+
+<tr>
+<td class="org-left">{d<sub>0</sub>, d<sub>1</sub>, d<sub>2</sub>, d<sub>3</sub>}</td>
+<td class="org-right">{d<sub>0</sub>, d<sub>1</sub>, d<sub>2</sub>, d<sub>3</sub>} &rArr; {d<sub>1</sub>, d<sub>1</sub>, d<sub>1</sub>, d<sub>1</sub>}</td>
+<td class="org-right">{d<sub>0</sub>, d<sub>1</sub>, d<sub>2</sub>, d<sub>3</sub>} &rArr; {d<sub>2</sub>, d<sub>3</sub>, d<sub>2</sub>, d<sub>2</sub>}</td>
+</tr>
+</tbody>
+</table>
+
+
+<div id="org5d55532" class="figure">
+<p><img src="./52c.excalidraw.png" alt="52c.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+
+<div id="outline-container-orge1550cc" class="outline-2">
+<h2 id="orge1550cc"><span class="section-number-2">6.</span> Question Six</h2>
+<div class="outline-text-2" id="text-6">
+</div>
+<div id="outline-container-org66f8b31" class="outline-3">
+<h3 id="org66f8b31"><span class="section-number-3">6.1.</span> a</h3>
+<div class="outline-text-3" id="text-6-1">
+</div>
+<div id="outline-container-org4cf062f" class="outline-4">
+<h4 id="org4cf062f"><span class="section-number-4">6.1.1.</span> DFA</h4>
+<div class="outline-text-4" id="text-6-1-1">
+
+<div id="org13c1329" class="figure">
+<p><img src="./6a.excalidraw.png" alt="6a.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org1d52e47" class="outline-4">
+<h4 id="org1d52e47"><span class="section-number-4">6.1.2.</span> catMap</h4>
+<div class="outline-text-4" id="text-6-1-2">
+<div class="org-src-container">
+<pre class="src src-json">{
+ '-': 'sign',
+ '+': 'sign',
+ [0-9]: 'digit',
+ 'e': 'scntfc'
+}
+</pre>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org2b46fc1" class="outline-4">
+<h4 id="org2b46fc1"><span class="section-number-4">6.1.3.</span> transMap</h4>
+<div class="outline-text-4" id="text-6-1-3">
+<div class="org-src-container">
+<pre class="src src-json">{
+ 's0': {
+ 'sign': 's1',
+ 'digit': 's2',
+ },
+ 's1': {
+ 'digit': 's2',
+ },
+ 's2': {
+ 'digit': 's2',
+ 'scntfc': 's3',
+ },
+ 's3': {
+ 'sign': 's4',
+ 'digit': 's5',
+ },
+ 's4': {
+ 'digit': 's6',
+ },
+ 's5': {
+ 'digit': 's6',
+ },
+ 's6': {
+ 'digit': 's6',
+ },
+}
+</pre>
+</div>
+</div>
+</div>
+
+<div id="outline-container-orgac3f2f9" class="outline-4">
+<h4 id="orgac3f2f9"><span class="section-number-4">6.1.4.</span> tokenTypes</h4>
+<div class="outline-text-4" id="text-6-1-4">
+<div class="org-src-container">
+<pre class="src src-json">{
+ 's2': 'integer',
+ 's6': 'integer,
+}
+</pre>
+</div>
+</div>
+</div>
+</div>
+<div id="outline-container-org93935d7" class="outline-3">
+<h3 id="org93935d7"><span class="section-number-3">6.2.</span> b</h3>
+<div class="outline-text-3" id="text-6-2">
+</div>
+<div id="outline-container-org6e45588" class="outline-4">
+<h4 id="org6e45588"><span class="section-number-4">6.2.1.</span> DFA</h4>
+<div class="outline-text-4" id="text-6-2-1">
+
+<div id="org27f1518" class="figure">
+<p><img src="./6b.excalidraw.png" alt="6b.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+
+<div id="outline-container-orgf2c4830" class="outline-4">
+<h4 id="orgf2c4830"><span class="section-number-4">6.2.2.</span> catMap</h4>
+<div class="outline-text-4" id="text-6-2-2">
+<div class="org-src-container">
+<pre class="src src-json">{
+ [a-zA-Z]: 'letter',
+ '_': 'letter',
+ [0-9]: 'digit',
+}
+</pre>
+</div>
+</div>
+</div>
+
+<div id="outline-container-orgde4a77d" class="outline-4">
+<h4 id="orgde4a77d"><span class="section-number-4">6.2.3.</span> transMap</h4>
+<div class="outline-text-4" id="text-6-2-3">
+<div class="org-src-container">
+<pre class="src src-json">{
+ 's1': {
+ 'letter': 's2'
+ },
+ 's2': {
+ 'letter': 's2',
+ 'digit': 's2',
+ },
+}
+</pre>
+</div>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org097d578" class="outline-3">
+<h3 id="org097d578"><span class="section-number-3">6.3.</span> c</h3>
+<div class="outline-text-3" id="text-6-3">
+</div>
+<div id="outline-container-orge1b389e" class="outline-4">
+<h4 id="orge1b389e"><span class="section-number-4">6.3.1.</span> DFA</h4>
+<div class="outline-text-4" id="text-6-3-1">
+
+<div id="org8cc9249" class="figure">
+<p><img src="./6c.excalidraw.png" alt="6c.excalidraw.png" />
+</p>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org33dd191" class="outline-4">
+<h4 id="org33dd191"><span class="section-number-4">6.3.2.</span> catMap</h4>
+<div class="outline-text-4" id="text-6-3-2">
+<div class="org-src-container">
+<pre class="src src-json">{
+ [^(\n)*/]: 'nonc',
+ '\n': 'newline',
+ 'eof': 'eof',
+ '/': 'slash',
+ '*': 'star'
+}
+</pre>
+</div>
+</div>
+</div>
+<div id="outline-container-orgd453e37" class="outline-4">
+<h4 id="orgd453e37"><span class="section-number-4">6.3.3.</span> transMap</h4>
+<div class="outline-text-4" id="text-6-3-3">
+<div class="org-src-container">
+<pre class="src src-json">{
+ 's0': {
+ 'slash': 's1',
+ },
+ 's1': {
+ 'slash': 's2',
+ 'star': 's4',
+ },
+ 's2': {
+ 'nonc': 's2',
+ 'newline': 's3',
+ 'eof': 's3'
+ },
+ 's4': {
+ 'nonc': 's4',
+ 'star': 's5',
+ },
+ 's5': {
+ 'nonc': 's4',
+ 'newline': 's4',
+ 'slash': 's6'
+ }
+}
+</pre>
+</div>
+</div>
+</div>
+
+<div id="outline-container-org3cf8c57" class="outline-4">
+<h4 id="org3cf8c57"><span class="section-number-4">6.3.4.</span> tokenType</h4>
+<div class="outline-text-4" id="text-6-3-4">
+<div class="org-src-container">
+<pre class="src src-json">{
+ 's3': 'singleLineComment',
+ 's6': 'multiLineComment',
+}
+</pre>
+</div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div id="postamble" class="status">
+<p class="author">Author: Lizzy Hunt</p>
+<p class="date">Created: 2023-02-12 Sun 17:33</p>
+<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
+</div>
+</body>
+</html> \ No newline at end of file
diff --git a/Homework/cs5300/homework-four/compilers_assn_4.org b/Homework/cs5300/homework-four/compilers_assn_4.org
new file mode 100644
index 0000000..da16615
--- /dev/null
+++ b/Homework/cs5300/homework-four/compilers_assn_4.org
@@ -0,0 +1,236 @@
+#+TITLE: Assignment Three
+#+AUTHOR: Lizzy Hunt
+#+STARTUP: entitiespretty fold inlineimages
+#+LATEX_HEADER: \notindent \notga \usepackage{ dsfont } \usepackage{amsmath} \usepackage[a4paper,margin=1in,landscape]{geometry}
+#+LATEX: \setlength\parindent{0pt}
+#+OPTIONS: toc:nil
+
+* Question One
+** a
+#+attr_latex: :width 250px
+[[./1a.excalidraw.png]]
+** b
+#+attr_latex: :width 250px
+[[./1b.excalidraw.png]]
+** c
+#+attr_latex: :width 250px
+[[./1c.excalidraw.png]]
+** d
+#+attr_latex: :width 250px
+[[./1d.excalidraw.png]]
+** e
+#+attr_latex: :width 250px
+[[./1e.excalidraw.png]]
+** f
+#+attr_latex: :width 200px
+[[./1f.excalidraw.png]]
+
+* Question Two
+| State | a | b | e |
+| 0 | \phi | \phi | {1, 3} |
+| 1 | {2, 4} | {4} | \phi |
+| 2 | {2} | \phi | \phi |
+| 3 | \phi | {4} | \phi |
+| 4 | \phi | {4} | \phi |
+
+* Question Three
+| State | a | b |
+| 0 | 1 | 0 |
+| 1 | 1 | 2 |
+| 2 | 1 | 3 |
+| 3 | 1 | 0 |
+
+* Question Four
+** a
+#+attr_latex: :width 350px
+[[./4a.excalidraw.png]]
+** b
+| DFA State | NFA States | a | b | c |
+| d_0 | {s_0, s_1, s_2, s_5, s_9} | {s_3, s_6} (d_1) | s_e | s_e |
+| d_1 | {s_3, s_6} | s_e | {s_4, s_8, s_9, s_1, s_2, s_5} (d_2) | {s_7, s_8, s_9, s_1, s_2, s_5} (d_3) |
+| d_2 | {s_4, s_8, s_9, s_1, s_2, s_5} | {s_3, s_6} (d_1) | s_e | s_e |
+| d_3 | {s_7, s_8, s_9, s_1, s_2, s_5} | {s_3, s_6} (d_1) | s_e | s_e |
+
+#+attr_latex: :width 200px
+[[./4b.excalidraw.png]]
+** c
+| partition | a | b | c |
+| {d_1}, {d_0, d_2, d_3} | {d_0, d_2, d_3} \Rightarrow {d_1, d_0, d_0} | {d_0, d_2, d_3} \Rightarrow {-, -, -} | {d_0, d_2, d_3} \Rightarrow {-, -, -} |
+| {d_1}, {d_0}, {d_2, d_3} | {d_2, d_3} \Rightarrow {d_0, d_0} | {d_2, d_3} \Rightarrow {-, -} | {d_2, d_3} \Rightarrow {-, -} |
+
+#+attr_latex: :width 200px
+[[./4c.excalidraw.png]]
+
+* Question Five
+** regex 1
+*** NFA
+#+attr_latex: :width 350px
+[[./51a.excalidraw.png]]
+
+*** DFA
+| DFA State | NFA States | 1 | 0 |
+| d_0 | {s_0, s_1, s_2, s_4, s_7} | {s_1, s_2, s_3, s_4, s_6, s_7} (d_1) | {s_1, s_2, s_4, s_5, s_6, s_7} (d_2) |
+| d_1 | {s_1, s_2, s_3, s_4, s_6, s_7} | d_1 | d_2 |
+| d_2 | {s_1, s_2, s_4, s_5, s_6, s_7} | d_1 | d_2 |
+
+#+attr_latex: :width 200px
+[[./51b.excalidraw.png]]
+
+*** Minimization
+| partition | 1 | 0 |
+| {d_0, d_1, d_2} | {d_0, d_1, d_2} \Rightarrow {d_1, d_1, d_1} | {d_0, d_1, d_2} \Rightarrow {d_2, d_2, d_2} |
+
+#+attr_latex: :width 75px
+[[./51c.excalidraw.png]]
+
+** regex 2
+*** NFA
+#+attr_latex: :width 350px
+[[./52a.excalidraw.png]]
+*** DFA
+| DFA State | NFA States | 1 | 0 |
+| d_0 | {s_0, s_1, s_2, s_3, s_5, s_11, s_6, s_12 } | {s_1, s_2, s_3, s_5, s_6, s_7, s_8, s_10, s_11, s_12} (d_1) | {s_1, s_2, s_3, s_4, s_5, s_11, s_6, s_12} (d_2) |
+| d_1 | {s_1, s_2, s_3, s_5, s_6, s_7, s_8, s_10, s_11, s_12} | d_1 | {s_1, s_2, s_3, s_4, s_5, s_9, s_11, s_6, s_12} (d_3) |
+| d_2 | {s_1, s_2, s_3, s_4, s_5, s_11, s_6} | d_1 | d_2 |
+| d_3 | {s_1, s_2, s_3, s_4, s_5, s_9, s_11, s_6, s_12} | d_1 | d_2 |
+
+#+attr_latex: :width 150px
+[[./52b.excalidraw.png]]
+
+*** Minimization
+| partition | 1 | 0 |
+| {d_0, d_1, d_2, d_3} | {d_0, d_1, d_2, d_3} \Rightarrow {d_1, d_1, d_1, d_1} | {d_0, d_1, d_2, d_3} \Rightarrow {d_2, d_3, d_2, d_2} |
+
+#+attr_latex: :width 100px
+[[./52c.excalidraw.png]]
+
+* Question Six
+** a
+*** DFA
+#+attr_latex: :width 350px
+[[./6a.excalidraw.png]]
+
+*** catMap
+#+BEGIN_SRC json
+{
+ '-': 'sign',
+ '+': 'sign',
+ [0-9]: 'digit',
+ 'e': 'scntfc'
+}
+#+END_SRC
+
+*** transMap
+#+BEGIN_SRC json
+{
+ 's0': {
+ 'sign': 's1',
+ 'digit': 's2',
+ },
+ 's1': {
+ 'digit': 's2',
+ },
+ 's2': {
+ 'digit': 's2',
+ 'scntfc': 's3',
+ },
+ 's3': {
+ 'sign': 's4',
+ 'digit': 's5',
+ },
+ 's4': {
+ 'digit': 's6',
+ },
+ 's5': {
+ 'digit': 's6',
+ },
+ 's6': {
+ 'digit': 's6',
+ },
+}
+#+END_SRC
+
+*** tokenTypes
+#+BEGIN_SRC json
+{
+ 's2': 'integer',
+ 's6': 'integer,
+}
+#+END_SRC
+** b
+*** DFA
+#+attr_latex: :width 200px
+[[./6b.excalidraw.png]]
+
+*** catMap
+#+BEGIN_SRC json
+{
+ [a-zA-Z]: 'letter',
+ '_': 'letter',
+ [0-9]: 'digit',
+}
+#+END_SRC
+
+*** transMap
+#+BEGIN_SRC json
+{
+ 's1': {
+ 'letter': 's2'
+ },
+ 's2': {
+ 'letter': 's2',
+ 'digit': 's2',
+ },
+}
+#+END_SRC
+
+** c
+*** DFA
+#+attr_latex: :width 400px
+[[./6c.excalidraw.png]]
+
+*** catMap
+#+BEGIN_SRC json
+{
+ [^(\n)*/]: 'nonc',
+ '\n': 'newline',
+ 'eof': 'eof',
+ '/': 'slash',
+ '*': 'star'
+}
+#+END_SRC
+*** transMap
+#+BEGIN_SRC json
+{
+ 's0': {
+ 'slash': 's1',
+ },
+ 's1': {
+ 'slash': 's2',
+ 'star': 's4',
+ },
+ 's2': {
+ 'nonc': 's2',
+ 'newline': 's3',
+ 'eof': 's3'
+ },
+ 's4': {
+ 'nonc': 's4',
+ 'star': 's5',
+ },
+ 's5': {
+ 'nonc': 's4',
+ 'newline': 's4',
+ 'slash': 's6'
+ }
+}
+#+END_SRC
+
+*** tokenType
+#+BEGIN_SRC json
+{
+ 's3': 'singleLineComment',
+ 's6': 'multiLineComment',
+}
+#+END_SRC
+
diff --git a/Homework/cs5300/homework-four/compilers_assn_4.pdf b/Homework/cs5300/homework-four/compilers_assn_4.pdf
new file mode 100644
index 0000000..44fc347
--- /dev/null
+++ b/Homework/cs5300/homework-four/compilers_assn_4.pdf
Binary files differ
diff --git a/Homework/cs5300/homework-four/compilers_assn_4.tex b/Homework/cs5300/homework-four/compilers_assn_4.tex
new file mode 100644
index 0000000..b1a2942
--- /dev/null
+++ b/Homework/cs5300/homework-four/compilers_assn_4.tex
@@ -0,0 +1,346 @@
+% Created 2023-02-13 Mon 21:13
+% Intended LaTeX compiler: pdflatex
+\documentclass[11pt]{article}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{graphicx}
+\usepackage{longtable}
+\usepackage{wrapfig}
+\usepackage{rotating}
+\usepackage[normalem]{ulem}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{capt-of}
+\usepackage{hyperref}
+\notindent \notga \usepackage{ dsfont } \usepackage{amsmath} \usepackage[a4paper,margin=1in,landscape]{geometry}
+\author{Lizzy Hunt}
+\date{\today}
+\title{Assignment Three}
+\hypersetup{
+ pdfauthor={Lizzy Hunt},
+ pdftitle={Assignment Three},
+ pdfkeywords={},
+ pdfsubject={},
+ pdfcreator={Emacs 28.2 (Org mode 9.6.1)},
+ pdflang={English}}
+\begin{document}
+
+\maketitle
+\setlength\parindent{0pt}
+
+\section{Question One}
+\label{sec:org48bca57}
+\subsection{a}
+\label{sec:orgede0650}
+\begin{center}
+\includegraphics[width=250px]{./1a.excalidraw.png}
+\end{center}
+\subsection{b}
+\label{sec:org59deb20}
+\begin{center}
+\includegraphics[width=250px]{./1b.excalidraw.png}
+\end{center}
+\subsection{c}
+\label{sec:orgfdb1a94}
+\begin{center}
+\includegraphics[width=250px]{./1c.excalidraw.png}
+\end{center}
+\subsection{d}
+\label{sec:org48223e7}
+\begin{center}
+\includegraphics[width=250px]{./1d.excalidraw.png}
+\end{center}
+\subsection{e}
+\label{sec:orga20ed32}
+\begin{center}
+\includegraphics[width=250px]{./1e.excalidraw.png}
+\end{center}
+\subsection{f}
+\label{sec:org14bd212}
+\begin{center}
+\includegraphics[width=200px]{./1f.excalidraw.png}
+\end{center}
+
+\section{Question Two}
+\label{sec:org576a7f2}
+\begin{center}
+\begin{tabular}{rlll}
+State & a & b & e\\[0pt]
+0 & \(\phi\) & \(\phi\) & \{1, 3\}\\[0pt]
+1 & \{2, 4\} & \{4\} & \(\phi\)\\[0pt]
+2 & \{2\} & \(\phi\) & \(\phi\)\\[0pt]
+3 & \(\phi\) & \{4\} & \(\phi\)\\[0pt]
+4 & \(\phi\) & \{4\} & \(\phi\)\\[0pt]
+\end{tabular}
+\end{center}
+
+\section{Question Three}
+\label{sec:org998bd71}
+\begin{center}
+\begin{tabular}{rrr}
+State & a & b\\[0pt]
+0 & 1 & 0\\[0pt]
+1 & 1 & 2\\[0pt]
+2 & 1 & 3\\[0pt]
+3 & 1 & 0\\[0pt]
+\end{tabular}
+\end{center}
+
+\section{Question Four}
+\label{sec:org7c30c40}
+\subsection{a}
+\label{sec:org487ab26}
+\begin{center}
+\includegraphics[width=350px]{./4a.excalidraw.png}
+\end{center}
+\subsection{b}
+\label{sec:org41a1b03}
+\begin{center}
+\begin{tabular}{lllll}
+DFA State & NFA States & a & b & c\\[0pt]
+d\textsubscript{0} & \{s\textsubscript{0}, s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{5}, s\textsubscript{9}\} & \{s\textsubscript{3}, s\textsubscript{6}\} (d\textsubscript{1}) & s\textsubscript{e} & s\textsubscript{e}\\[0pt]
+d\textsubscript{1} & \{s\textsubscript{3}, s\textsubscript{6}\} & s\textsubscript{e} & \{s\textsubscript{4}, s\textsubscript{8}, s\textsubscript{9}, s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{5}\} (d\textsubscript{2}) & \{s\textsubscript{7}, s\textsubscript{8}, s\textsubscript{9}, s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{5}\} (d\textsubscript{3})\\[0pt]
+d\textsubscript{2} & \{s\textsubscript{4}, s\textsubscript{8}, s\textsubscript{9}, s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{5}\} & \{s\textsubscript{3}, s\textsubscript{6}\} (d\textsubscript{1}) & s\textsubscript{e} & s\textsubscript{e}\\[0pt]
+d\textsubscript{3} & \{s\textsubscript{7}, s\textsubscript{8}, s\textsubscript{9}, s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{5}\} & \{s\textsubscript{3}, s\textsubscript{6}\} (d\textsubscript{1}) & s\textsubscript{e} & s\textsubscript{e}\\[0pt]
+\end{tabular}
+\end{center}
+
+\begin{center}
+\includegraphics[width=200px]{./4b.excalidraw.png}
+\end{center}
+\subsection{c}
+\label{sec:orgf8b74f7}
+\begin{center}
+\begin{tabular}{llll}
+partition & a & b & c\\[0pt]
+\{d\textsubscript{1}\}, \{d\textsubscript{0}, d\textsubscript{2}, d\textsubscript{3}\} & \{d\textsubscript{0}, d\textsubscript{2}, d\textsubscript{3}\} \(\Rightarrow\) \{d\textsubscript{1}, d\textsubscript{0}, d\textsubscript{0}\} & \{d\textsubscript{0}, d\textsubscript{2}, d\textsubscript{3}\} \(\Rightarrow\) \{-, -, -\} & \{d\textsubscript{0}, d\textsubscript{2}, d\textsubscript{3}\} \(\Rightarrow\) \{-, -, -\}\\[0pt]
+\{d\textsubscript{1}\}, \{d\textsubscript{0}\}, \{d\textsubscript{2}, d\textsubscript{3}\} & \{d\textsubscript{2}, d\textsubscript{3}\} \(\Rightarrow\) \{d\textsubscript{0}, d\textsubscript{0}\} & \{d\textsubscript{2}, d\textsubscript{3}\} \(\Rightarrow\) \{-, -\} & \{d\textsubscript{2}, d\textsubscript{3}\} \(\Rightarrow\) \{-, -\}\\[0pt]
+\end{tabular}
+\end{center}
+
+\begin{center}
+\includegraphics[width=200px]{./4c.excalidraw.png}
+\end{center}
+
+\section{Question Five}
+\label{sec:org8639475}
+\subsection{regex 1}
+\label{sec:org6ec41c1}
+\subsubsection{NFA}
+\label{sec:org4702761}
+\begin{center}
+\includegraphics[width=350px]{./51a.excalidraw.png}
+\end{center}
+
+\subsubsection{DFA}
+\label{sec:org1f48afb}
+\begin{center}
+\begin{tabular}{llll}
+DFA State & NFA States & 1 & 0\\[0pt]
+d\textsubscript{0} & \{s\textsubscript{0}, s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{4}, s\textsubscript{7}\} & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{4}, s\textsubscript{6}, s\textsubscript{7}\} (d\textsubscript{1}) & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{4}, s\textsubscript{5}, s\textsubscript{6}, s\textsubscript{7}\} (d\textsubscript{2})\\[0pt]
+d\textsubscript{1} & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{4}, s\textsubscript{6}, s\textsubscript{7}\} & d\textsubscript{1} & d\textsubscript{2}\\[0pt]
+d\textsubscript{2} & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{4}, s\textsubscript{5}, s\textsubscript{6}, s\textsubscript{7}\} & d\textsubscript{1} & d\textsubscript{2}\\[0pt]
+\end{tabular}
+\end{center}
+
+\begin{center}
+\includegraphics[width=200px]{./51b.excalidraw.png}
+\end{center}
+
+\subsubsection{Minimization}
+\label{sec:orgbd13a9a}
+\begin{center}
+\begin{tabular}{lrr}
+partition & 1 & 0\\[0pt]
+\{d\textsubscript{0}, d\textsubscript{1}, d\textsubscript{2}\} & \{d\textsubscript{0}, d\textsubscript{1}, d\textsubscript{2}\} \(\Rightarrow\) \{d\textsubscript{1}, d\textsubscript{1}, d\textsubscript{1}\} & \{d\textsubscript{0}, d\textsubscript{1}, d\textsubscript{2}\} \(\Rightarrow\) \{d\textsubscript{2}, d\textsubscript{2}, d\textsubscript{2}\}\\[0pt]
+\end{tabular}
+\end{center}
+
+\begin{center}
+\includegraphics[width=75px]{./51c.excalidraw.png}
+\end{center}
+
+\subsection{regex 2}
+\label{sec:org65aa1cc}
+\subsubsection{NFA}
+\label{sec:org0a8dd3a}
+\begin{center}
+\includegraphics[width=350px]{./52a.excalidraw.png}
+\end{center}
+\subsubsection{DFA}
+\label{sec:orgbf87fa0}
+\begin{center}
+\begin{tabular}{llll}
+DFA State & NFA States & 1 & 0\\[0pt]
+d\textsubscript{0} & \{s\textsubscript{0}, s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{5}, s\textsubscript{11}, s\textsubscript{6}, s\textsubscript{12} \} & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{5}, s\textsubscript{6}, s\textsubscript{7}, s\textsubscript{8}, s\textsubscript{10}, s\textsubscript{11}, s\textsubscript{12}\} (d\textsubscript{1}) & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{4}, s\textsubscript{5}, s\textsubscript{11}, s\textsubscript{6}, s\textsubscript{12}\} (d\textsubscript{2})\\[0pt]
+d\textsubscript{1} & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{5}, s\textsubscript{6}, s\textsubscript{7}, s\textsubscript{8}, s\textsubscript{10}, s\textsubscript{11}, s\textsubscript{12}\} & d\textsubscript{1} & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{4}, s\textsubscript{5}, s\textsubscript{9}, s\textsubscript{11}, s\textsubscript{6}, s\textsubscript{12}\} (d\textsubscript{3})\\[0pt]
+d\textsubscript{2} & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{4}, s\textsubscript{5}, s\textsubscript{11}, s\textsubscript{6}\} & d\textsubscript{1} & d\textsubscript{2}\\[0pt]
+d\textsubscript{3} & \{s\textsubscript{1}, s\textsubscript{2}, s\textsubscript{3}, s\textsubscript{4}, s\textsubscript{5}, s\textsubscript{9}, s\textsubscript{11}, s\textsubscript{6}, s\textsubscript{12}\} & d\textsubscript{1} & d\textsubscript{2}\\[0pt]
+\end{tabular}
+\end{center}
+
+\begin{center}
+\includegraphics[width=150px]{./52b.excalidraw.png}
+\end{center}
+
+\subsubsection{Minimization}
+\label{sec:orgba6f5c6}
+\begin{center}
+\begin{tabular}{lrr}
+partition & 1 & 0\\[0pt]
+\{d\textsubscript{0}, d\textsubscript{1}, d\textsubscript{2}, d\textsubscript{3}\} & \{d\textsubscript{0}, d\textsubscript{1}, d\textsubscript{2}, d\textsubscript{3}\} \(\Rightarrow\) \{d\textsubscript{1}, d\textsubscript{1}, d\textsubscript{1}, d\textsubscript{1}\} & \{d\textsubscript{0}, d\textsubscript{1}, d\textsubscript{2}, d\textsubscript{3}\} \(\Rightarrow\) \{d\textsubscript{2}, d\textsubscript{3}, d\textsubscript{2}, d\textsubscript{2}\}\\[0pt]
+\end{tabular}
+\end{center}
+
+\begin{center}
+\includegraphics[width=100px]{./52c.excalidraw.png}
+\end{center}
+
+\section{Question Six}
+\label{sec:org7b91bcb}
+\subsection{a}
+\label{sec:orgb412f3c}
+\subsubsection{DFA}
+\label{sec:org4ae1ae3}
+\begin{center}
+\includegraphics[width=350px]{./6a.excalidraw.png}
+\end{center}
+
+\subsubsection{catMap}
+\label{sec:org443dec8}
+\begin{verbatim}
+{
+ '-': 'sign',
+ '+': 'sign',
+ [0-9]: 'digit',
+ 'e': 'scntfc'
+}
+\end{verbatim}
+
+\subsubsection{transMap}
+\label{sec:org77c35dc}
+\begin{verbatim}
+{
+ 's0': {
+ 'sign': 's1',
+ 'digit': 's2',
+ },
+ 's1': {
+ 'digit': 's2',
+ },
+ 's2': {
+ 'digit': 's2',
+ 'scntfc': 's3',
+ },
+ 's3': {
+ 'sign': 's4',
+ 'digit': 's5',
+ },
+ 's4': {
+ 'digit': 's6',
+ },
+ 's5': {
+ 'digit': 's6',
+ },
+ 's6': {
+ 'digit': 's6',
+ },
+}
+\end{verbatim}
+
+\subsubsection{tokenTypes}
+\label{sec:orgefb9ab0}
+\begin{verbatim}
+{
+ 's2': 'integer',
+ 's6': 'integer,
+}
+\end{verbatim}
+\subsection{b}
+\label{sec:org6479f00}
+\subsubsection{DFA}
+\label{sec:org3c2c109}
+\begin{center}
+\includegraphics[width=200px]{./6b.excalidraw.png}
+\end{center}
+
+\subsubsection{catMap}
+\label{sec:org5fb6951}
+\begin{verbatim}
+{
+ [a-zA-Z]: 'letter',
+ '_': 'letter',
+ [0-9]: 'digit',
+}
+\end{verbatim}
+
+\subsubsection{transMap}
+\label{sec:org51968cd}
+\begin{verbatim}
+{
+ 's1': {
+ 'letter': 's2'
+ },
+ 's2': {
+ 'letter': 's2',
+ 'digit': 's2',
+ },
+}
+\end{verbatim}
+
+\subsection{c}
+\label{sec:orgaadecbc}
+\subsubsection{DFA}
+\label{sec:orgbc936b3}
+\begin{center}
+\includegraphics[width=400px]{./6c.excalidraw.png}
+\end{center}
+
+\subsubsection{catMap}
+\label{sec:org0f61017}
+\begin{verbatim}
+{
+ [^(\n)*/]: 'nonc',
+ '\n': 'newline',
+ 'eof': 'eof',
+ '/': 'slash',
+ '*': 'star'
+}
+\end{verbatim}
+\subsubsection{transMap}
+\label{sec:orge8e62ef}
+\begin{verbatim}
+{
+ 's0': {
+ 'slash': 's1',
+ },
+ 's1': {
+ 'slash': 's2',
+ 'star': 's4',
+ },
+ 's2': {
+ 'nonc': 's2',
+ 'newline': 's3',
+ 'eof': 's3'
+ },
+ 's4': {
+ 'nonc': 's4',
+ 'star': 's5',
+ },
+ 's5': {
+ 'nonc': 's4',
+ 'newline': 's4',
+ 'slash': 's6'
+ }
+}
+\end{verbatim}
+
+\subsubsection{tokenType}
+\label{sec:orgb999994}
+\begin{verbatim}
+{
+ 's3': 'singleLineComment',
+ 's6': 'multiLineComment',
+}
+\end{verbatim}
+\end{document} \ No newline at end of file