writeup: add main.qmd (Quarto draft) + nips-template.tex; update human journal

main.qmd mirrors main.tex structure with markdown prose, callout TODOs,
and Quarto cross-refs. Renders via nips-template.tex which wraps
nips15submit_e.sty so quarto render --to pdf produces NeurIPS-formatted
output. Human journal prose incorporated into abstract + intro + routing
section.

Co-Authored-By: Claudypoo <288921227+claudypoo@users.noreply.github.com>

docs/writeup/nips-template.tex

@@ -0,0 +1,58 @@
+% Pandoc LaTeX template for Quarto -> NeurIPS-formatted PDF.
+% Variables: $title$, $author$, $abstract$, $body$, $bibliography$, $natbib$
+\documentclass{article}
+\PassOptionsToPackage{table}{xcolor}
+\usepackage{nips15submit_e}
+\usepackage[numbers]{natbib}
+\usepackage{booktabs}
+\usepackage{graphicx}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{newtxtext,newtxmath}
+\usepackage[scaled=0.92]{zi4}
+\usepackage[table]{xcolor}
+\usepackage{listings}
+\usepackage{algorithm}
+\usepackage{algpseudocode}
+\usepackage{hyperref}
+\hypersetup{colorlinks=true, linkcolor=black, citecolor=black,
+            urlcolor=[rgb]{0.0,0.2,0.5}}
+\setlength{\abovecaptionskip}{8pt}
+\setlength{\belowcaptionskip}{6pt}
+\definecolor{lightgray}{rgb}{0.94,0.94,0.94}
+\lstset{
+  basicstyle=\small\ttfamily,
+  breaklines=true, breakatwhitespace=true,
+  columns=flexible, keepspaces=true,
+  showstringspaces=false, language=Python,
+  commentstyle=\color{gray!70!black}\itshape,
+  keywordstyle=\bfseries, stringstyle=\color{black},
+  frame=single, backgroundcolor=\color{lightgray!30}
+}
+% Quarto uses \tightlist in bullet lists
+\providecommand{\tightlist}{\setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}}
+
+$if(title)$
+\title{$title$}
+$endif$
+$if(author)$
+\author{$for(author)$$author$$sep$ \\ $endfor$}
+$endif$
+
+\begin{document}
+\maketitle
+
+$if(abstract)$
+\begin{abstract}
+$abstract$
+\end{abstract}
+$endif$
+
+$body$
+
+$if(natbib)$
+\bibliographystyle{plainnat}
+\bibliography{$for(bibliography)$$bibliography$$sep$,$endfor$}
+$endif$
+
+\end{document}