From ea0bd1d51ec682e085fbc2f7b64c9aeb12df32ac Mon Sep 17 00:00:00 2001
From: alicj <zichen.jiang@yahoo.com>
Date: Fri, 23 Mar 2018 00:54:37 -0400
Subject: [PATCH] add two short answer question, put back mvc slide

---
 Tutorials/T11-FinalReview/Exam Review.pptx | Bin 965144 -> 7544387 bytes
 Tutorials/T11-FinalReview/document.pdf     | Bin 0 -> 31634 bytes
 Tutorials/T11-FinalReview/document.tex     |  19 +++++++++++++++++++
 3 files changed, 19 insertions(+)
 create mode 100644 Tutorials/T11-FinalReview/document.pdf
 create mode 100644 Tutorials/T11-FinalReview/document.tex

diff --git a/Tutorials/T11-FinalReview/Exam Review.pptx b/Tutorials/T11-FinalReview/Exam Review.pptx
index 53f3b06af937754468004690e7b8a69e1bf26d02..3908c54d58c62b7c105faa50336c00372a1fd605 100644
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diff --git a/Tutorials/T11-FinalReview/document.tex b/Tutorials/T11-FinalReview/document.tex
new file mode 100644
index 00000000..4579b0d2
--- /dev/null
+++ b/Tutorials/T11-FinalReview/document.tex
@@ -0,0 +1,19 @@
+\documentclass[12pt,fleqn]{article}
+\usepackage{graphicx}
+\usepackage{amssymb}
+\usepackage{amsmath}
+\usepackage{listings}
+\usepackage{url}
+
+\newcommand\tab[1][0.8cm]{\hspace*{#1}}
+
+\begin{document}
+	 \begin{eqnarray*}
+		\lefteqn{\forall (i, j: \mathbb{N} | 0 \leq i < 2 \wedge 0 \leq j < 2 :}\\
+		&& \exists(k, l: \mathbb{N} | 0 \leq k < 2 \wedge 0 \leq l < 2 \wedge (k \neq i \wedge l \neq j) : \\
+		&& \tab \exists(m, n: \mathbb{N} | 0 \leq m < 2 \wedge 0 \leq n < 2 
+			\wedge (m \neq k \wedge n \neq j) \\
+		&& \tab	\wedge  i - k  = -( i - m) \wedge  j - l  = -( j - n) ) : \\
+		&& \tab \tab board[i][j] = board[k][l] = board[m][n] )
+	\end{eqnarray*}
+\end{document}
\ No newline at end of file
-- 
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