Added a warmup
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								Misc/Warm-Ups/wild ttt.tex
									
									
									
									
									
										Executable file
									
								
							
							
						
						
									
										65
									
								
								Misc/Warm-Ups/wild ttt.tex
									
									
									
									
									
										Executable file
									
								
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					\documentclass[
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						solutions,
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						hidewarning,
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						singlenumbering,
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						nopagenumber
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					]{../../resources/ormc_handout}
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					\usepackage{../../resources/macros}
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					% x,y,scale,style
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					\def\ttt#1#2#3#4{
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						\draw[#4] (#1, #2+#3) -- (#1+#3+#3+#3, #2+#3);
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						\draw[#4] (#1, #2+#3+#3) -- (#1+#3+#3+#3, #2+#3+#3);
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						\draw[#4] (#1+#3, #2) -- (#1+#3, #2+#3+#3+#3);
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						\draw[#4] (#1+#3+#3, #2) -- (#1+#3+#3, #2+#3+#3+#3);
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					}
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					\title{Warm-Up: Wild Tic-Tac-Toe}
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					\subtitle{Prepared by \githref{Mark} on \today.}
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					\begin{document}
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						\maketitle
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						\problem{}
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						In wild tic-tac-toe, players may place either an X or O on each move. The player that first completes a
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						row of any three symbols wins. Show that the first player always has a winning strategy.
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						\vfill
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						\begin{center}
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							\begin{tikzpicture}[scale=0.60]
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								\ttt{0}{0}{2}{line width=0.3mm}
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								\ttt{7}{0}{2}{line width=0.3mm}
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								\ttt{14}{0}{2}{line width=0.3mm}
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								\ttt{0}{7}{2}{line width=0.3mm}
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								\ttt{7}{7}{2}{line width=0.3mm}
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								\ttt{14}{7}{2}{line width=0.3mm}
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							\end{tikzpicture}
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						\end{center}
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						\vfill
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						\problem{}
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						Now, say the first player to complete a row loses. Who has a winning strategy now?
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						\vfill
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						\begin{center}
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							\begin{tikzpicture}[scale=0.60]
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								\ttt{0}{0}{2}{line width=0.3mm}
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								\ttt{7}{0}{2}{line width=0.3mm}
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								\ttt{14}{0}{2}{line width=0.3mm}
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								\ttt{0}{7}{2}{line width=0.3mm}
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								\ttt{7}{7}{2}{line width=0.3mm}
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								\ttt{14}{7}{2}{line width=0.3mm}
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							\end{tikzpicture}
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						\end{center}
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						\vfill
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						\pagebreak
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					\end{document}
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