From df71c8676f0fe517e0c0e199d061805158f7ca92 Mon Sep 17 00:00:00 2001
From: Mark <mark@betalupi.com>
Date: Mon, 8 Jan 2024 11:26:44 -0800
Subject: [PATCH] Added warmups

---
 Misc/Warm-Ups/fmod.tex     | 21 +++++++++
 Misc/Warm-Ups/painting.tex | 89 ++++++++++++++++++++++++++++++++++++++
 2 files changed, 110 insertions(+)
 create mode 100755 Misc/Warm-Ups/fmod.tex
 create mode 100755 Misc/Warm-Ups/painting.tex

diff --git a/Misc/Warm-Ups/fmod.tex b/Misc/Warm-Ups/fmod.tex
new file mode 100755
index 0000000..98ade46
--- /dev/null
+++ b/Misc/Warm-Ups/fmod.tex
@@ -0,0 +1,21 @@
+\documentclass[
+	solutions,
+	hidewarning,
+	singlenumbering,
+	nopagenumber
+]{../../resources/ormc_handout}
+\usepackage{../../resources/macros}
+
+
+\title{Warm-Up: \texttt{fmod}}
+\subtitle{Prepared by \githref{Mark} on \today.}
+
+\begin{document}
+
+	\maketitle
+
+	\problem{}
+	I'm sure you're all familiar with how \texttt{mod(a, b)} and \texttt{remainder(a, b)} work with integers. \par
+	Devise an equivalent for floats (i.e, real numbers).
+
+\end{document}
\ No newline at end of file
diff --git a/Misc/Warm-Ups/painting.tex b/Misc/Warm-Ups/painting.tex
new file mode 100755
index 0000000..e4b614f
--- /dev/null
+++ b/Misc/Warm-Ups/painting.tex
@@ -0,0 +1,89 @@
+\documentclass[
+	solutions,
+	hidewarning,
+	singlenumbering,
+	nopagenumber
+]{../../resources/ormc_handout}
+\usepackage{../../resources/macros}
+
+
+\usepackage[linguistics]{forest}
+
+
+
+\title{Warm-Up: Painting}
+\subtitle{Prepared by \githref{Mark} on \today.}
+
+\begin{document}
+
+	\maketitle
+
+	\problem{}
+	You have a painting on a string. \par
+	Hang the painting on two nails so that if either is removed, the painting falls. \par
+
+	\vspace{2mm}
+	You may detach the string as you hang the painting, but it must be re-attached once you're done.
+
+	\note{The solution to this problem isn't an out-of-the-box trick, it's a clever wrapping of the string.}
+
+
+	\begin{center}
+	\begin{tikzpicture}[scale=2.0]
+
+
+		\draw[line width = 0.5mm]
+			(0, 1) --
+			(2, 1) --
+			(2, 0) --
+			(0, 0) --
+			cycle
+		;
+
+		\draw[line width = 0.5mm, dotted]
+			(0.1, 1) --
+			(1, 1.5) --
+			(1.9, 1)
+		;
+
+		\fill (1, 1.5) circle[radius = 0.25mm];
+
+
+		\draw[line width = 0.2mm]
+			(0.66, 0.66) --
+			(0.66, 0.35) --
+			(0.60, 0.1)
+			(0.72, 0.1)--(0.66, 0.35)
+		;
+
+		\draw[line width = 0.2mm]
+			(0.66, 0.575) --
+			(0.6, 0.475) --
+			(0.525, 0.575)
+			(0.66, 0.575) --
+			(0.72, 0.475) --
+			(0.795, 0.575)
+		;
+
+		\fill[color=white] (0.66, 0.66) circle[radius = 0.8mm];
+		\draw (0.66, 0.66) circle[radius = 0.8mm];
+
+
+	\end{tikzpicture}
+	\end{center}
+
+
+	\begin{solution}
+
+		Say we have a left nail and a right nail. The path of the string is as follows:
+		\begin{itemize}
+			\item Start on the left
+			\item Move over both nails, wrap right nail cw
+			\item Wrap left nail ccw
+			\item Wrap right nail ccw
+			\item Exit downwards, in between both nails
+		\end{itemize}
+
+	\end{solution}
+
+\end{document}
\ No newline at end of file