changeset 17:6e393cf72b37 draft

add explanation
author Daichi TOMA <toma@cr.ie.u-ryukyu.ac.jp>
date Sat, 11 Feb 2012 13:18:32 +0900
parents 598336b53547
children 140aec35135c
files paper/chapter3.tex paper/images/sort.bb paper/images/sort.graffle paper/images/sort.pdf
diffstat 4 files changed, 2029 insertions(+), 2 deletions(-) [+]
line wrap: on
line diff
--- a/paper/chapter3.tex	Fri Feb 10 18:37:22 2012 +0900
+++ b/paper/chapter3.tex	Sat Feb 11 13:18:32 2012 +0900
@@ -6,6 +6,7 @@
 \item WordCountTask
 \item PrintTask
 \end{enumerate}
+
 WordCountTaskは、input された data を word count し、単語数と行数を output に指定された data 領域に書きこむTaskである。
 分割されたデータが送られてくるため、分割された前後のテキストがどうなっているかはわからない。そのため担当範囲であるデータの先頭と末尾のパラメータを単語数と行数の他に付け加える。後にそのデータを他のword count 結果と照らし合わせ、分割されたテキストを正しく整合する。
 PrintTask は WordCountTask によって書き出された単語数と行数を集計し、出力するTaskである。WordCountTask を wait する設定で、すべてのWordCountTaskが終了したあとに、動作する。
@@ -37,15 +38,44 @@
 
 100MBのテキストを扱う場合には、Linux と比べ15倍ほどの差が見られた。200MB の場合は約5倍ほどであるのは、PPE のメモリ容量が256MBとなっており、200MBのファイルを扱う場合には、頻繁にスワップなどが起きているため、ファイルのIOの部分でのオーバヘッドが高いと考えられる。通常のwcコマンドよりも Cerium を用いた wc が高い性能を示した。
 
+% 適当に加筆修正してください
 \section{Sort}
 例題としてTaskManagerを使ったSortを実装した。Taskの構成は以下の通りである。
 \begin{enumerate}
+\item SortSimpleTask
 \item QuickSortTask
-\item SortSimpleTask
 \end{enumerate}
-指定された数の乱数を生成し、Sortする例題である。
+
+指定された数の乱数を生成し、Sort を行う例題である。
+SortSimpleTask は、Task の割り当てを行う Task である。
+始めに乱数列を分割し、QuickSortTask に割り当てる。
+QuickSortTask は、割り当てられた範囲を Sort する。
+次に、SortSimpleTask は、最初に分割して割り当てた範囲の中間から次の範囲の中間までをQuickSortTaskに割り当てる。
+このようなTaskの割り当てを分割数分、繰り返し実行することで全体を Sort する。(\figref{sort-graf})
+
+\begin{figure}[htb]
+  \begin{center}
+    \includegraphics[scale=0.70]{./images/sort.pdf}
+  \end{center}
+  \caption{Sort flow}
+  \label{fig:sort-graf}
+\end{figure}
 
+サイズを 100MB, 200MB としたテキストファイルを対象に、速度の測定を行った。Linux wc は PS3上の Linux のが提供するwcコマンドを用いた結果で PPE 1基を利用したものである。Cerium wc は SPE 6基 を用い今回実装した word count の計測結果である。(\tabref{wc_speed}) 
 
+10万入力のソートの速度の測定を行った。 PPE 1基のみを利用したものと、SPE 6 基を利用したものの計測結果である。(\tabref{sort_speed})
+
+\begin{table}[!htb]
+  \begin{center}
+    \caption{speed of Sort} \label{tab:sort_speed}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|} \hline
+         Sort    	 & time(sec) \\ \hline
+         PPE  	 	 & 6.2       \\ \hline
+         PPE + SPE   & 1.1       \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
 
 \section{Prime Counter}
 例題としてTaskManagerを使ったPrime Counterを実装した。Taskの構成は以下の通りである。
@@ -53,6 +83,7 @@
 \item PrimeTask
 \item PrintTask
 \end{enumerate}
+
 PrimeTaskは、指示された範囲を素数判定し、渡された配列に結果を収めるTaskである。
 ミラー-ラビン素数判定法を用いて、2, 3, 5, 7 及び 11 について調べることで、$2{,}152{,}302{,}898{,}747$以下において決定的アルゴリズムにしている。\cite{Jaeschke93}
 % 参考文献 http://primes.utm.edu/prove/prove2_3.html
@@ -60,3 +91,16 @@
 PrintTaskは、PrimeTaskによって判定された素数を出力するTaskである。出力指示がされている場合のみ、素数を出力する。
 
 
+10万までの範囲の全ての素数の数え上げを行った。 PPE 1基のみを利用したものと、SPE 6 基を利用したものの計測結果である。(\tabref{prime_speed})
+
+\begin{table}[!htb]
+  \begin{center}
+    \caption{speed of Prime Counter} \label{tab:prime_speed}
+    \hbox to\hsize{\hfil
+      \begin{tabular}{|c|c|c|c|} \hline
+         Sort    	 & time(sec) \\ \hline
+         PPE  	 	 & 2.1       \\ \hline
+         PPE + SPE   & 0.6       \\ \hline
+      \end{tabular}\hfil}
+  \end{center}
+\end{table}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/paper/images/sort.bb	Sat Feb 11 13:18:32 2012 +0900
@@ -0,0 +1,5 @@
+%%Title: ./sort.pdf
+%%Creator: extractbb 20110311
+%%BoundingBox: 0 0 409 404
+%%CreationDate: Sat Feb 11 13:07:41 2012
+
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/paper/images/sort.graffle	Sat Feb 11 13:18:32 2012 +0900
@@ -0,0 +1,1978 @@
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+										<string>0.29</string>
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+										<string>0.6</string>
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+										<string>0</string>
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+								<dict>
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+								<dict>
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+									<dict>
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+										<string>0.29</string>
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+								<dict>
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+								<dict>
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+								<dict>
+									<key>Color</key>
+									<dict>
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+										<string>0.29</string>
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+								<dict>
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+									<dict>
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+								<key>shadow</key>
+								<dict>
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+								<dict>
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+								<key>shadow</key>
+								<dict>
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+								<dict>
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+								<key>shadow</key>
+								<dict>
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+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
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+							<key>Text</key>
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+\f0\b\fs32 \cf0 3}</string>
+							</dict>
+						</dict>
+						<dict>
+							<key>Bounds</key>
+							<string>{{178, 355}, {50, 50}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>ID</key>
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+							<key>Shape</key>
+							<string>Rectangle</string>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
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+							<dict>
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+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
+\f0\b\fs32 \cf0 5}</string>
+							</dict>
+						</dict>
+						<dict>
+							<key>Bounds</key>
+							<string>{{178, 405}, {50, 50}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>ID</key>
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+							<key>Shape</key>
+							<string>Rectangle</string>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
+\f0\b\fs32 \cf0 8}</string>
+							</dict>
+						</dict>
+					</array>
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+						<integer>123</integer>
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+						<array/>
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+				</dict>
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+		</dict>
+		<dict>
+			<key>Class</key>
+			<string>Group</string>
+			<key>Graphics</key>
+			<array>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>ID</key>
+					<integer>94</integer>
+					<key>Points</key>
+					<array>
+						<string>{61, 254.5}</string>
+						<string>{109, 254.5}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>TailArrow</key>
+							<string>0</string>
+							<key>Width</key>
+							<real>3</real>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>TableGroup</string>
+					<key>Graphics</key>
+					<array>
+						<dict>
+							<key>Bounds</key>
+							<string>{{60, 55}, {50, 50}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>ID</key>
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+							<key>Shape</key>
+							<string>Rectangle</string>
+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Color</key>
+									<dict>
+										<key>a</key>
+										<string>0.29</string>
+										<key>b</key>
+										<string>0.8</string>
+										<key>g</key>
+										<string>0.6</string>
+										<key>r</key>
+										<string>0</string>
+									</dict>
+								</dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+{\colortbl;\red255\green255\blue255;}
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+
+\f0\b\fs32 \cf0 6}</string>
+							</dict>
+						</dict>
+						<dict>
+							<key>Bounds</key>
+							<string>{{60, 105}, {50, 50}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>ID</key>
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+							<key>Shape</key>
+							<string>Rectangle</string>
+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Color</key>
+									<dict>
+										<key>a</key>
+										<string>0.29</string>
+										<key>b</key>
+										<string>0.8</string>
+										<key>g</key>
+										<string>0.6</string>
+										<key>r</key>
+										<string>0</string>
+									</dict>
+								</dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
+\f0\b\fs32 \cf0 4}</string>
+							</dict>
+						</dict>
+						<dict>
+							<key>Bounds</key>
+							<string>{{60, 155}, {50, 50}}</string>
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+							<string>ShapedGraphic</string>
+							<key>ID</key>
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+							<key>Shape</key>
+							<string>Rectangle</string>
+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Color</key>
+									<dict>
+										<key>a</key>
+										<string>0.29</string>
+										<key>b</key>
+										<string>0.8</string>
+										<key>g</key>
+										<string>0.6</string>
+										<key>r</key>
+										<string>0</string>
+									</dict>
+								</dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
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+						<dict>
+							<key>Bounds</key>
+							<string>{{60, 205}, {50, 50}}</string>
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+							<string>ShapedGraphic</string>
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+							<key>Shape</key>
+							<string>Rectangle</string>
+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Color</key>
+									<dict>
+										<key>a</key>
+										<string>0.29</string>
+										<key>b</key>
+										<string>0.8</string>
+										<key>g</key>
+										<string>0.6</string>
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+										<string>0</string>
+									</dict>
+								</dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
+\f0\b\fs32 \cf0 2}</string>
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+						<dict>
+							<key>Bounds</key>
+							<string>{{60, 255}, {50, 50}}</string>
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+							<string>ShapedGraphic</string>
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+							<key>Shape</key>
+							<string>Rectangle</string>
+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Color</key>
+									<dict>
+										<key>b</key>
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+										<key>g</key>
+										<string>0.8</string>
+										<key>r</key>
+										<string>1</string>
+									</dict>
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+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
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+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
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+						<dict>
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+								<key>fill</key>
+								<dict>
+									<key>Color</key>
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+										<string>0.8</string>
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+										<string>1</string>
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+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
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+							<string>ShapedGraphic</string>
+							<key>ID</key>
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+							<string>Rectangle</string>
+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Color</key>
+									<dict>
+										<key>b</key>
+										<string>0.4</string>
+										<key>g</key>
+										<string>0.8</string>
+										<key>r</key>
+										<string>1</string>
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+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
+\f0\b\fs32 \cf0 3}</string>
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+						<dict>
+							<key>Bounds</key>
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+							<string>ShapedGraphic</string>
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+							<dict>
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+									<dict>
+										<key>b</key>
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+										<key>g</key>
+										<string>0.8</string>
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+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+		<dict>
+			<key>Class</key>
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+			<key>Graphics</key>
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+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
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+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+\f0\b\fs32 \cf0 1}</string>
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+				<dict>
+					<key>Bounds</key>
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+					<string>ShapedGraphic</string>
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+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
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+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
+\f0\b\fs32 \cf0 2}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{414, 155}, {50, 50}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
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+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
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+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
+\f0\b\fs32 \cf0 3}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{414, 205}, {50, 50}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
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+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
+\f0\b\fs32 \cf0 4}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{414, 255}, {50, 50}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
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+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+
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+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{414, 305}, {50, 50}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>48</integer>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+{\colortbl;\red255\green255\blue255;}
+\pard\tx560\tx1120\tx1680\tx2240\tx2800\tx3360\tx3920\tx4480\tx5040\tx5600\tx6160\tx6720\pardirnatural\qc
+
+\f0\b\fs32 \cf0 6}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{414, 355}, {50, 50}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>49</integer>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
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+{\colortbl;\red255\green255\blue255;}
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+
+\f0\b\fs32 \cf0 7}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{414, 405}, {50, 50}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>ID</key>
+					<integer>50</integer>
+					<key>Shape</key>
+					<string>Rectangle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg1252\cocoartf1138\cocoasubrtf230
+{\fonttbl\f0\fnil\fcharset128 HiraKakuProN-W3;}
+{\colortbl;\red255\green255\blue255;}
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+
+\f0\b\fs32 \cf0 8}</string>
+					</dict>
+				</dict>
+			</array>
+			<key>GridH</key>
+			<array>
+				<integer>43</integer>
+				<integer>44</integer>
+				<integer>45</integer>
+				<integer>46</integer>
+				<integer>47</integer>
+				<integer>48</integer>
+				<integer>49</integer>
+				<integer>50</integer>
+				<array/>
+			</array>
+			<key>ID</key>
+			<integer>42</integer>
+		</dict>
+	</array>
+	<key>GridInfo</key>
+	<dict/>
+	<key>GuidesLocked</key>
+	<string>NO</string>
+	<key>GuidesVisible</key>
+	<string>YES</string>
+	<key>HPages</key>
+	<integer>1</integer>
+	<key>ImageCounter</key>
+	<integer>1</integer>
+	<key>KeepToScale</key>
+	<true/>
+	<key>Layers</key>
+	<array>
+		<dict>
+			<key>Lock</key>
+			<string>NO</string>
+			<key>Name</key>
+			<string>Layer 1</string>
+			<key>Print</key>
+			<string>YES</string>
+			<key>View</key>
+			<string>YES</string>
+		</dict>
+	</array>
+	<key>LayoutInfo</key>
+	<dict>
+		<key>Animate</key>
+		<string>NO</string>
+		<key>circoMinDist</key>
+		<real>18</real>
+		<key>circoSeparation</key>
+		<real>0.0</real>
+		<key>layoutEngine</key>
+		<string>dot</string>
+		<key>neatoSeparation</key>
+		<real>0.0</real>
+		<key>twopiSeparation</key>
+		<real>0.0</real>
+	</dict>
+	<key>LinksVisible</key>
+	<string>NO</string>
+	<key>MagnetsVisible</key>
+	<string>NO</string>
+	<key>MasterSheets</key>
+	<array/>
+	<key>ModificationDate</key>
+	<string>2012-02-11 04:07:04 +0000</string>
+	<key>Modifier</key>
+	<string>Daichi TOMA</string>
+	<key>NotesVisible</key>
+	<string>NO</string>
+	<key>Orientation</key>
+	<integer>2</integer>
+	<key>OriginVisible</key>
+	<string>NO</string>
+	<key>PageBreaks</key>
+	<string>YES</string>
+	<key>PrintInfo</key>
+	<dict>
+		<key>NSBottomMargin</key>
+		<array>
+			<string>float</string>
+			<string>41</string>
+		</array>
+		<key>NSHorizonalPagination</key>
+		<array>
+			<string>int</string>
+			<string>0</string>
+		</array>
+		<key>NSLeftMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+		<key>NSPaperName</key>
+		<array>
+			<string>string</string>
+			<string>JISB5</string>
+		</array>
+		<key>NSPaperSize</key>
+		<array>
+			<string>coded</string>
+			<string>BAtzdHJlYW10eXBlZIHoA4QBQISEhAdOU1ZhbHVlAISECE5TT2JqZWN0AIWEASqEhAx7X05TU2l6ZT1mZn2WgQQCgdkChg==</string>
+		</array>
+		<key>NSPrintReverseOrientation</key>
+		<array>
+			<string>int</string>
+			<string>0</string>
+		</array>
+		<key>NSRightMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+		<key>NSTopMargin</key>
+		<array>
+			<string>float</string>
+			<string>18</string>
+		</array>
+	</dict>
+	<key>PrintOnePage</key>
+	<false/>
+	<key>ReadOnly</key>
+	<string>NO</string>
+	<key>RowAlign</key>
+	<integer>1</integer>
+	<key>RowSpacing</key>
+	<real>36</real>
+	<key>SheetTitle</key>
+	<string>Canvas 1</string>
+	<key>SmartAlignmentGuidesActive</key>
+	<string>YES</string>
+	<key>SmartDistanceGuidesActive</key>
+	<string>YES</string>
+	<key>UniqueID</key>
+	<integer>1</integer>
+	<key>UseEntirePage</key>
+	<false/>
+	<key>VPages</key>
+	<integer>1</integer>
+	<key>WindowInfo</key>
+	<dict>
+		<key>CurrentSheet</key>
+		<integer>0</integer>
+		<key>ExpandedCanvases</key>
+		<array>
+			<dict>
+				<key>name</key>
+				<string>Canvas 1</string>
+			</dict>
+		</array>
+		<key>Frame</key>
+		<string>{{-1574, 22}, {1229, 1058}}</string>
+		<key>ListView</key>
+		<true/>
+		<key>OutlineWidth</key>
+		<integer>142</integer>
+		<key>RightSidebar</key>
+		<false/>
+		<key>ShowRuler</key>
+		<true/>
+		<key>Sidebar</key>
+		<true/>
+		<key>SidebarWidth</key>
+		<integer>119</integer>
+		<key>VisibleRegion</key>
+		<string>{{-34, 0}, {547.5, 451.5}}</string>
+		<key>Zoom</key>
+		<real>2</real>
+		<key>ZoomValues</key>
+		<array>
+			<array>
+				<string>Canvas 1</string>
+				<real>2</real>
+				<real>4</real>
+			</array>
+		</array>
+	</dict>
+	<key>saveQuickLookFiles</key>
+	<string>YES</string>
+</dict>
+</plist>
Binary file paper/images/sort.pdf has changed