changeset 42:8576011b8447

add
author Masataka Kohagura <kohagura@cr.ie.u-ryukyu.ac.jp>
date Wed, 10 Feb 2016 16:07:26 +0900
parents 8f20ee03cf91
children 724c29abb137
files c4.tex images/image.graffle images/regex/cctree.bb images/regex/cctree.pdf images/regex/cctreeex.bb images/regex/cctreeex.pdf images/regex/cctreemerge.bb images/regex/cctreemerge.pdf images/regex/cctreesub.pdf master_paper.pdf memo/result.txt
diffstat 11 files changed, 4196 insertions(+), 35 deletions(-) [+]
line wrap: on
line diff
--- a/c4.tex	Wed Feb 10 13:13:58 2016 +0900
+++ b/c4.tex	Wed Feb 10 16:07:26 2016 +0900
@@ -498,6 +498,9 @@
   \label{fig:subset}
 \end{figure}
 
+\ref{fig:nfaex}で与えられた NFA を Subset Construction にて DFA に変換すると、図\ref{fig:subsetauto}のようになる。
+この図より、一度 a が入力されたあとは、aか[c-z]の入力と b の入力で状態 4,6 を循環することがわかる。このときの受理状態 2 を含んでいる状態 6 に状態遷移したときこのオートマトンは受理される。
+
 \begin{figure}[htpb]
   \begin{center}
     \includegraphics[scale=0.2]{images/regex/subsetauto.pdf}
@@ -506,29 +509,41 @@
   \label{fig:subsetauto}
 \end{figure}
 
+文字クラスは正規表現木のノード内では二分木として構成されている。
+例えば、文字クラス[A-Za-z0-9]はノード内では図\ref{fig:cctree}のような二分木で構成されている。
+文字クラスの二分木は、左から ASCII 文字コードの小さい文字を並べていく。
+
 \begin{figure}[htpb]
   \begin{center}
-    \includegraphics[scale=0.2]{images/regex/CharClassMergePattern.pdf}
+    \includegraphics[scale=0.2]{images/regex/cctree.pdf}
   \end{center}
-  \caption{2つの Character Class を merge するときの全パターン}
-  \label{fig:CharClassMergePattern}
+  \caption{ノード内での文字クラスの二分木}
+  \label{fig:cctree}
 \end{figure}
 
+Subset Construction 時に文字クラス [a-z] と b が merge されている。
+Subset Construction で文字クラスによって入力と遷移先が変化した場合、ノード内の文字クラスもその入力の文字クラスによって文字クラスの二分木も再構築される。
+\ref{fig:cctreeex}
+
 \begin{figure}[htpb]
   \begin{center}
-    \includegraphics[scale=0.2]{images/regex/ccinsert1.pdf}
+    \includegraphics[scale=0.2]{images/regex/cctreeex.pdf}
   \end{center}
-  \caption{Character Class を二分木で表示}
-  \label{fig:ccinsert1}
+  \caption{図\ref{fig:nfaex}での Subset Construction 後の文字クラスの二分木の変化}
+  \label{fig:cctreeex}
 \end{figure}
 
+上の例では文字クラスとある一文字の merge 例になるが、複数の文字クラスを merge するような場面も出てくる。
+図\ref{fig:cctreemerge}は、[a-ce-i]と[b-fh-j] の2つの文字クラスを merge する例である。
+それぞれの文字クラスは二分木を構成しており、二分木どうしの merge をする必要がある。
+その際、全てのパターンについてノードを分け、それらのノードを二分木で再構築する。
 
 \begin{figure}[htpb]
   \begin{center}
-    \includegraphics[scale=0.2]{images/regex/ccinsert2.pdf}
+    \includegraphics[scale=0.2]{images/regex/cctreemerge.pdf}
   \end{center}
-  \caption{ある Character Class の二分木に対して、新しい Character Class を insert}
-  \label{fig:ccinsert2}
+  \caption{2つの文字クラスの二分木を merge}
+  \label{fig:cctreemerge}
 \end{figure}
 
 \begin{figure}[htpb]
--- a/images/image.graffle	Wed Feb 10 13:13:58 2016 +0900
+++ b/images/image.graffle	Wed Feb 10 16:07:26 2016 +0900
@@ -26,7 +26,7 @@
 	<key>MasterSheets</key>
 	<array/>
 	<key>ModificationDate</key>
-	<string>2016-02-09 17:34:48 +0000</string>
+	<string>2016-02-10 06:56:47 +0000</string>
 	<key>Modifier</key>
 	<string>MasaKoha</string>
 	<key>NotesVisible</key>
@@ -24693,11 +24693,11 @@
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+{\colortbl;\red255\green255\blue255;}
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@@ -24903,11 +24903,11 @@
 								<key>Text</key>
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 {\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
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-\deftab720
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-
-\f0\fs32 \cf2 a}</string>
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\partightenfactor0
+
+\f0\fs32 \cf0 a}</string>
 							</dict>
 							<key>Wrap</key>
 							<string>NO</string>
@@ -25259,11 +25259,11 @@
 								<key>Text</key>
 								<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
 {\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
-{\colortbl;\red255\green255\blue255;\red0\green0\blue0;}
-\deftab720
-\pard\pardeftab720\partightenfactor0
-
-\f0\fs32 \cf2 [a-zA-Z]}</string>
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\partightenfactor0
+
+\f0\fs32 \cf0 [a-zA-Z]}</string>
 							</dict>
 							<key>Wrap</key>
 							<string>NO</string>
@@ -48746,11 +48746,11 @@
 								<key>Text</key>
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-\deftab720
-\pard\pardeftab720\qc\partightenfactor0
-
-\f0\fs32 \cf2 AC}</string>
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs32 \cf0 AC}</string>
 							</dict>
 						</dict>
 						<dict>
@@ -59418,6 +59418,4127 @@
 			<key>VPages</key>
 			<integer>1</integer>
 		</dict>
+		<dict>
+			<key>ActiveLayerIndex</key>
+			<integer>0</integer>
+			<key>AutoAdjust</key>
+			<false/>
+			<key>BackgroundGraphic</key>
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+				<string>{{0, 0}, {1677, 783}}</string>
+				<key>Class</key>
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+				<dict>
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+			<string>{0, 0}</string>
+			<key>ColumnAlign</key>
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+			<key>ColumnSpacing</key>
+			<real>36</real>
+			<key>DisplayScale</key>
+			<string>1.0000 cm = 10.0000 cm</string>
+			<key>GraphicsList</key>
+			<array>
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+					<key>Class</key>
+					<string>LineGraphic</string>
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+					<key>FontInfo</key>
+					<dict>
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+					</dict>
+					<key>Head</key>
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+						<integer>748</integer>
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+						<dict>
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+							<string>NO</string>
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+						<key>stroke</key>
+						<dict>
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+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
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+				<dict>
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+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
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+					<key>Head</key>
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+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
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+					<key>Class</key>
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+					<key>Shape</key>
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+					<key>Shape</key>
+					<string>Circle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
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+							<string>NO</string>
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+					<key>Text</key>
+					<dict>
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+						<real>0.0</real>
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+					<dict>
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+							<string>NO</string>
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+					<key>Text</key>
+					<dict>
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+					<key>ID</key>
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+					<key>Shape</key>
+					<string>Circle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
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+							<string>NO</string>
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+					<key>Text</key>
+					<dict>
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+						<real>18</real>
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+					<key>ID</key>
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+					<key>Shape</key>
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+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
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+							<string>NO</string>
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+					<key>Text</key>
+					<dict>
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+					<string>Group</string>
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+							<key>Style</key>
+							<dict>
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+								<dict>
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+									<string>NO</string>
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+								<key>shadow</key>
+								<dict>
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+									<string>NO</string>
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+								<key>stroke</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
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+								<dict>
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+							<key>Text</key>
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+					<key>Class</key>
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+								<key>Color</key>
+								<dict>
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+									<string>0</string>
+									<key>r</key>
+									<string>0</string>
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+								<real>13</real>
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+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
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+									<string>NO</string>
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+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
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+								<key>stroke</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
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+{\colortbl;\red255\green255\blue255;}
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+							<dict>
+								<key>shadow</key>
+								<dict>
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+					<key>Class</key>
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+							<key>FontInfo</key>
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+								<dict>
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+									<string>0</string>
+									<key>g</key>
+									<string>0</string>
+									<key>r</key>
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+								<real>13</real>
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+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
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+									<string>NO</string>
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+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
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+								<key>stroke</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
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+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
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+							<dict>
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+								<dict>
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+							<string>{{793.49019071117016, 550.20234289168627}, {39.92913246943268, 24.415924855149626}}</string>
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+							<string>ShapedGraphic</string>
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+								<dict>
+									<key>b</key>
+									<string>0</string>
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+									<string>0</string>
+									<key>r</key>
+									<string>0</string>
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+								<real>13</real>
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+							<key>Style</key>
+							<dict>
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+								<dict>
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+									<string>NO</string>
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+								<key>shadow</key>
+								<dict>
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+									<string>NO</string>
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+								<key>stroke</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
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+							<key>Text</key>
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+								<key>Text</key>
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+							<string>{{735.97452973780435, 510.27321042225356}, {39.92913246943268, 24.415924855149626}}</string>
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+								<real>13</real>
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+							<key>Style</key>
+							<dict>
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+									<string>NO</string>
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+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
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+								<key>stroke</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
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+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
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+							<string>{{735.97452973780435, 502.51660661511198}, {39.92913246943268, 39.929132469432687}}</string>
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+							<dict>
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+								<real>18</real>
+							</dict>
+							<key>ID</key>
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+							<key>Shape</key>
+							<string>Circle</string>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>VerticalPad</key>
+								<real>0.0</real>
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+					<key>ID</key>
+					<integer>750</integer>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>Group</string>
+					<key>Graphics</key>
+					<array>
+						<dict>
+							<key>Bounds</key>
+							<string>{{670.39370686998507, 468.17429271744857}, {39.92913246943268, 24.415924855149626}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Color</key>
+								<dict>
+									<key>b</key>
+									<string>0</string>
+									<key>g</key>
+									<string>0</string>
+									<key>r</key>
+									<string>0</string>
+								</dict>
+								<key>Size</key>
+								<real>13</real>
+							</dict>
+							<key>ID</key>
+							<integer>748</integer>
+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
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+
+\f0\fs26 \cf0 [b-c]}</string>
+							</dict>
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+						<dict>
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+							<string>{{670.39370686998507, 460.41768891030699}, {39.92913246943268, 39.929132469432687}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>FontInfo</key>
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+								<real>18</real>
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+							<key>ID</key>
+							<integer>749</integer>
+							<key>Shape</key>
+							<string>Circle</string>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>VerticalPad</key>
+								<real>0.0</real>
+							</dict>
+						</dict>
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+					<integer>747</integer>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>Group</string>
+					<key>Graphics</key>
+					<array>
+						<dict>
+							<key>Bounds</key>
+							<string>{{670.39370686998507, 390.02383256051746}, {39.92913246943268, 24.415924855149626}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Color</key>
+								<dict>
+									<key>b</key>
+									<string>0</string>
+									<key>g</key>
+									<string>0</string>
+									<key>r</key>
+									<string>0</string>
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+								<key>Size</key>
+								<real>13</real>
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+							<key>ID</key>
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+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
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+
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+							</dict>
+						</dict>
+						<dict>
+							<key>Bounds</key>
+							<string>{{670.39370686998507, 382.267228753376}, {39.92913246943268, 39.929132469432687}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Size</key>
+								<real>18</real>
+							</dict>
+							<key>ID</key>
+							<integer>746</integer>
+							<key>Shape</key>
+							<string>Circle</string>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>VerticalPad</key>
+								<real>0.0</real>
+							</dict>
+						</dict>
+					</array>
+					<key>ID</key>
+					<integer>744</integer>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{946.70057079464618, 75.118110917778466}, {30.000000000000021, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0.109804</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0.694118</string>
+						</dict>
+					</dict>
+					<key>ID</key>
+					<integer>743</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
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+{\colortbl;\red255\green255\blue255;\red177\green0\blue28;}
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+
+\f0\fs32 \cf2 j}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>742</integer>
+					<key>Points</key>
+					<array>
+						<string>{961.20057079464618, 117.24516302136809}</string>
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+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Color</key>
+							<dict>
+								<key>b</key>
+								<real>0.109804</real>
+								<key>g</key>
+								<real>0.0</real>
+								<key>r</key>
+								<real>0.69411800000000001</real>
+							</dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{882.21239021557699, 75.118110917778466}, {30.000000000000021, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0.109804</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0.694118</string>
+						</dict>
+					</dict>
+					<key>ID</key>
+					<integer>741</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;\red177\green0\blue28;}
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+
+\f0\fs32 \cf2 h}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>740</integer>
+					<key>Points</key>
+					<array>
+						<string>{896.71239021557699, 117.24516302136806}</string>
+						<string>{896.71239021557699, 141.19056639329534}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Color</key>
+							<dict>
+								<key>b</key>
+								<real>0.109804</real>
+								<key>g</key>
+								<real>0.0</real>
+								<key>r</key>
+								<real>0.69411800000000001</real>
+							</dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>739</integer>
+					<key>Points</key>
+					<array>
+						<string>{896.71239021557699, 110.68163696957325}</string>
+						<string>{962.20057079464618, 110.68163696957325}</string>
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+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Color</key>
+							<dict>
+								<key>b</key>
+								<real>0.109804</real>
+								<key>g</key>
+								<real>0.0</real>
+								<key>r</key>
+								<real>0.69411800000000001</real>
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+							<key>HeadArrow</key>
+							<string>FilledArrow</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>FilledArrow</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>738</integer>
+					<key>Points</key>
+					<array>
+						<string>{725.63371745623942, 117.24516302136809}</string>
+						<string>{725.63371745623942, 141.19056639329534}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Color</key>
+							<dict>
+								<key>b</key>
+								<real>0.109804</real>
+								<key>g</key>
+								<real>0.0</real>
+								<key>r</key>
+								<real>0.69411800000000001</real>
+							</dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>227</integer>
+					<key>Points</key>
+					<array>
+						<string>{729.11595401517195, 110.68163696957325}</string>
+						<string>{857.02735048542991, 110.68163696957325}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Color</key>
+							<dict>
+								<key>b</key>
+								<real>0.109804</real>
+								<key>g</key>
+								<real>0.0</real>
+								<key>r</key>
+								<real>0.69411800000000001</real>
+							</dict>
+							<key>HeadArrow</key>
+							<string>FilledArrow</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>FilledArrow</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>224</integer>
+					<key>Points</key>
+					<array>
+						<string>{857.02735048542991, 117.24516302136806}</string>
+						<string>{857.02735048542991, 141.19056639329534}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Color</key>
+							<dict>
+								<key>b</key>
+								<real>0.109804</real>
+								<key>g</key>
+								<real>0.0</real>
+								<key>r</key>
+								<real>0.69411800000000001</real>
+							</dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{842.52735048542991, 75.118110917778466}, {30.000000000000021, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0.109804</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0.694118</string>
+						</dict>
+					</dict>
+					<key>ID</key>
+					<integer>220</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;\red177\green0\blue28;}
+\deftab720
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+
+\f0\fs32 \cf2 f}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{711.13371745623942, 75.118110917778466}, {30.000000000000021, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0.109804</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0.694118</string>
+						</dict>
+					</dict>
+					<key>ID</key>
+					<integer>219</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;\red177\green0\blue28;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs32 \cf2 b}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{892.55739841493062, 159.37192868642808}, {52.343968615825332, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+					</dict>
+					<key>ID</key>
+					<integer>52</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs32 \cf0 i}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{801.05849181535143, 159.37192868642808}, {52.343968615825332, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+					</dict>
+					<key>ID</key>
+					<integer>51</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs32 \cf0 e}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{748.76260772766227, 159.37192868642808}, {52.343968615825332, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+					</dict>
+					<key>ID</key>
+					<integer>50</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs32 \cf0 c}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{650.20894309712696, 159.37192868642808}, {52.343968615825332, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+					</dict>
+					<key>ID</key>
+					<integer>49</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs32 \cf0 a}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>24</integer>
+					<key>Points</key>
+					<array>
+						<string>{828.26086945306406, 152.38006413767545}</string>
+						<string>{919.75977605264222, 152.38006413767545}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>FilledArrow</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>FilledArrow</string>
+						</dict>
+					</dict>
+					<key>Tail</key>
+					<dict>
+						<key>ID</key>
+						<integer>10</integer>
+						<key>Info</key>
+						<integer>1</integer>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>Head</key>
+					<dict>
+						<key>ID</key>
+						<integer>8</integer>
+						<key>Info</key>
+						<integer>1</integer>
+					</dict>
+					<key>ID</key>
+					<integer>22</integer>
+					<key>Points</key>
+					<array>
+						<string>{677.41132073484005, 151.59100118303616}</string>
+						<string>{773.8561141776388, 152.38006413767545}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>FilledArrow</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>FilledArrow</string>
+						</dict>
+					</dict>
+					<key>Tail</key>
+					<dict>
+						<key>ID</key>
+						<integer>7</integer>
+						<key>Position</key>
+						<real>0.78008723258972168</real>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>11</integer>
+					<key>Points</key>
+					<array>
+						<string>{919.75977605264268, 127.01733791824279}</string>
+						<string>{919.75977605264268, 150.96274129017019}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>10</integer>
+					<key>Points</key>
+					<array>
+						<string>{828.26086945306406, 128.43466076574805}</string>
+						<string>{828.26086945306406, 152.38006413767545}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>8</integer>
+					<key>Points</key>
+					<array>
+						<string>{773.8561141776388, 128.43466076574805}</string>
+						<string>{773.8561141776388, 152.38006413767545}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>7</integer>
+					<key>Points</key>
+					<array>
+						<string>{677.41132073484005, 120.44279621699539}</string>
+						<string>{677.41132073484005, 160.37192868642808}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>4</integer>
+					<key>Points</key>
+					<array>
+						<string>{657.62777336195768, 141.19056639329534}</string>
+						<string>{944.90136703075575, 141.19056639329534}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>0</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{830.55118863807888, 270.30266006890929}, {32.598425492620777, 30}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FitText</key>
+					<string>Vertical</string>
+					<key>Flow</key>
+					<string>Resize</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
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+					<key>ID</key>
+					<integer>737</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Align</key>
+						<integer>0</integer>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\partightenfactor0
+
+\f0\fs32 \cf0 +}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>Group</string>
+					<key>Graphics</key>
+					<array>
+						<dict>
+							<key>Class</key>
+							<string>LineGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Font</key>
+								<string>Helvetica</string>
+								<key>Size</key>
+								<real>12</real>
+							</dict>
+							<key>Head</key>
+							<dict>
+								<key>ID</key>
+								<integer>733</integer>
+							</dict>
+							<key>ID</key>
+							<integer>730</integer>
+							<key>Points</key>
+							<array>
+								<string>{880.04676893572264, 253.24704866628346}</string>
+								<string>{955.76280394737137, 295.53444974920836}</string>
+							</array>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>HeadArrow</key>
+									<string>0</string>
+									<key>Legacy</key>
+									<false/>
+									<key>LineType</key>
+									<integer>1</integer>
+									<key>TailArrow</key>
+									<string>0</string>
+								</dict>
+							</dict>
+							<key>Tail</key>
+							<dict>
+								<key>ID</key>
+								<integer>736</integer>
+							</dict>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{937.82481165863305, 284.56569974920836}, {35.875984577476736, 21.937499999999986}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>732</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [h-j]}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{937.82481165863305, 277.59645746046999}, {35.875984577476736, 35.875984577476736}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>733</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>731</integer>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{862.10877664698432, 242.2782986662834}, {35.875984577476736, 21.937499999999982}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>735</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [b-f]}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{862.10877664698432, 235.30905637754509}, {35.875984577476736, 35.875984577476736}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>736</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>734</integer>
+						</dict>
+					</array>
+					<key>ID</key>
+					<integer>729</integer>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{843.57285128195383, 204.21653641039921}, {70.556103002370904, 31.092519967146522}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+						<key>Size</key>
+						<real>13</real>
+					</dict>
+					<key>ID</key>
+					<integer>728</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [b-fh-j]}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>Group</string>
+					<key>Graphics</key>
+					<array>
+						<dict>
+							<key>Class</key>
+							<string>LineGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Font</key>
+								<string>Helvetica</string>
+								<key>Size</key>
+								<real>12</real>
+							</dict>
+							<key>Head</key>
+							<dict>
+								<key>ID</key>
+								<integer>721</integer>
+							</dict>
+							<key>ID</key>
+							<integer>717</integer>
+							<key>Points</key>
+							<array>
+								<string>{715.48228995625163, 253.24704866628392}</string>
+								<string>{793.21358987411713, 295.53444974920836}</string>
+							</array>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>HeadArrow</key>
+									<string>0</string>
+									<key>Legacy</key>
+									<false/>
+									<key>LineType</key>
+									<integer>1</integer>
+									<key>TailArrow</key>
+									<string>0</string>
+								</dict>
+							</dict>
+							<key>Tail</key>
+							<dict>
+								<key>ID</key>
+								<integer>724</integer>
+							</dict>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{775.27559758537882, 284.56569974920836}, {35.875984577476736, 21.937499999999986}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>720</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [e-i]}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{775.27559758537882, 277.59645746046999}, {35.875984577476736, 35.875984577476736}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>721</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>719</integer>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{697.54429766751332, 242.27829866628383}, {35.875984577476736, 21.937499999999982}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>723</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [a-c]}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{697.54429766751332, 235.30905637754555}, {35.875984577476736, 35.875984577476736}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>724</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>722</integer>
+						</dict>
+					</array>
+					<key>ID</key>
+					<integer>716</integer>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{679.00837230248078, 204.21653641039921}, {70.556103002370904, 31.092519967146522}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+						<key>Size</key>
+						<real>13</real>
+					</dict>
+					<key>ID</key>
+					<integer>715</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [a-ce-i]}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>Group</string>
+					<key>Graphics</key>
+					<array>
+						<dict>
+							<key>Class</key>
+							<string>LineGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Font</key>
+								<string>Helvetica</string>
+								<key>Size</key>
+								<real>12</real>
+							</dict>
+							<key>Head</key>
+							<dict>
+								<key>ID</key>
+								<integer>707</integer>
+							</dict>
+							<key>ID</key>
+							<integer>703</integer>
+							<key>Points</key>
+							<array>
+								<string>{416.27165478425593, 559.13386334082293}</string>
+								<string>{472.96456868446592, 639.92126564862247}</string>
+							</array>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>HeadArrow</key>
+									<string>0</string>
+									<key>Legacy</key>
+									<false/>
+									<key>LineType</key>
+									<integer>1</integer>
+									<key>TailArrow</key>
+									<string>0</string>
+								</dict>
+							</dict>
+							<key>Tail</key>
+							<dict>
+								<key>ID</key>
+								<integer>710</integer>
+							</dict>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>LineGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Font</key>
+								<string>Helvetica</string>
+								<key>Size</key>
+								<real>12</real>
+							</dict>
+							<key>Head</key>
+							<dict>
+								<key>ID</key>
+								<integer>713</integer>
+							</dict>
+							<key>ID</key>
+							<integer>704</integer>
+							<key>Points</key>
+							<array>
+								<string>{416.27165478425593, 559.13386334082293}</string>
+								<string>{353.90944949402461, 639.92126564862247}</string>
+							</array>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>HeadArrow</key>
+									<string>0</string>
+									<key>Legacy</key>
+									<false/>
+									<key>LineType</key>
+									<integer>1</integer>
+									<key>TailArrow</key>
+									<string>0</string>
+								</dict>
+							</dict>
+							<key>Tail</key>
+							<dict>
+								<key>ID</key>
+								<integer>710</integer>
+							</dict>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{451.70472597188711, 626.92126564862247}, {42.519685425157626, 26}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FitText</key>
+									<string>Vertical</string>
+									<key>Flow</key>
+									<string>Resize</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>706</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [c-z]}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{451.70472597188711, 618.66142293604366}, {42.519685425157626, 42.519685425157633}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>707</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>705</integer>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{395.01181207167713, 546.13386334082293}, {42.519685425157626, 26}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FitText</key>
+									<string>Vertical</string>
+									<key>Flow</key>
+									<string>Resize</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>709</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 b}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{395.01181207167713, 537.87402062824412}, {42.519685425157626, 42.519685425157633}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>710</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>708</integer>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{332.64960678144581, 626.92126564862247}, {42.519685425157626, 26}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FitText</key>
+									<string>Vertical</string>
+									<key>Flow</key>
+									<string>Resize</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>712</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 a}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{332.64960678144581, 618.66142293604366}, {42.519685425157626, 42.519685425157633}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>713</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>711</integer>
+						</dict>
+					</array>
+					<key>ID</key>
+					<integer>702</integer>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{324.1456696964155, 510.94488652564422}, {83.622048002809947, 36.850394035136617}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+						<key>Size</key>
+						<real>13</real>
+					</dict>
+					<key>ID</key>
+					<integer>701</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [a-z]}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{300.05118128882629, 486.1417366943021}, {226.7716556008404, 226.77165560084075}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Size</key>
+						<real>18</real>
+					</dict>
+					<key>ID</key>
+					<integer>700</integer>
+					<key>Shape</key>
+					<string>Circle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<real>0.0</real>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>LineGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Font</key>
+						<string>Helvetica</string>
+						<key>Size</key>
+						<real>12</real>
+					</dict>
+					<key>ID</key>
+					<integer>699</integer>
+					<key>Points</key>
+					<array>
+						<string>{183.83070779339548, 599.02756449472247}</string>
+						<string>{278.94709358257586, 599.02756449472247}</string>
+					</array>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>HeadArrow</key>
+							<string>FilledArrow</string>
+							<key>Legacy</key>
+							<false/>
+							<key>LineType</key>
+							<integer>1</integer>
+							<key>TailArrow</key>
+							<string>0</string>
+						</dict>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>Group</string>
+					<key>Graphics</key>
+					<array>
+						<dict>
+							<key>Bounds</key>
+							<string>{{73.279525687985696, 586.02756449472247}, {42.519685425157626, 26}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>FitText</key>
+							<string>Vertical</string>
+							<key>Flow</key>
+							<string>Resize</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Color</key>
+								<dict>
+									<key>b</key>
+									<string>0</string>
+									<key>g</key>
+									<string>0</string>
+									<key>r</key>
+									<string>0</string>
+								</dict>
+								<key>Size</key>
+								<real>13</real>
+							</dict>
+							<key>ID</key>
+							<integer>694</integer>
+							<key>Style</key>
+							<dict>
+								<key>fill</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>Text</key>
+								<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [a-z]}</string>
+							</dict>
+						</dict>
+						<dict>
+							<key>Bounds</key>
+							<string>{{73.279525687985696, 577.76772178214367}, {42.519685425157626, 42.519685425157633}}</string>
+							<key>Class</key>
+							<string>ShapedGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Size</key>
+								<real>18</real>
+							</dict>
+							<key>ID</key>
+							<integer>695</integer>
+							<key>Shape</key>
+							<string>Circle</string>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+							</dict>
+							<key>Text</key>
+							<dict>
+								<key>VerticalPad</key>
+								<real>0.0</real>
+							</dict>
+						</dict>
+					</array>
+					<key>ID</key>
+					<integer>693</integer>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{32.177163110333311, 542.33465059451237}, {83.622048002809947, 36.850394035136617}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+						<key>Size</key>
+						<real>13</real>
+					</dict>
+					<key>ID</key>
+					<integer>686</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [a-z]}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{37.846454500354497, 542.33465059451237}, {113.38582780042003, 113.3858278004202}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Size</key>
+						<real>18</real>
+					</dict>
+					<key>ID</key>
+					<integer>685</integer>
+					<key>Shape</key>
+					<string>Circle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<real>0.0</real>
+					</dict>
+				</dict>
+				<dict>
+					<key>Class</key>
+					<string>Group</string>
+					<key>Graphics</key>
+					<array>
+						<dict>
+							<key>Class</key>
+							<string>LineGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Font</key>
+								<string>Helvetica</string>
+								<key>Size</key>
+								<real>12</real>
+							</dict>
+							<key>Head</key>
+							<dict>
+								<key>ID</key>
+								<integer>678</integer>
+							</dict>
+							<key>ID</key>
+							<integer>674</integer>
+							<key>Points</key>
+							<array>
+								<string>{296.2204751285982, 235.27559268587214}</string>
+								<string>{352.91338902880824, 316.06299499367162}</string>
+							</array>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>HeadArrow</key>
+									<string>0</string>
+									<key>Legacy</key>
+									<false/>
+									<key>LineType</key>
+									<integer>1</integer>
+									<key>TailArrow</key>
+									<string>0</string>
+								</dict>
+							</dict>
+							<key>Tail</key>
+							<dict>
+								<key>ID</key>
+								<integer>681</integer>
+							</dict>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>LineGraphic</string>
+							<key>FontInfo</key>
+							<dict>
+								<key>Font</key>
+								<string>Helvetica</string>
+								<key>Size</key>
+								<real>12</real>
+							</dict>
+							<key>Head</key>
+							<dict>
+								<key>ID</key>
+								<integer>684</integer>
+							</dict>
+							<key>ID</key>
+							<integer>675</integer>
+							<key>Points</key>
+							<array>
+								<string>{296.2204751285982, 235.27559268587214}</string>
+								<string>{233.85826983836688, 316.06299499367162}</string>
+							</array>
+							<key>Style</key>
+							<dict>
+								<key>shadow</key>
+								<dict>
+									<key>Draws</key>
+									<string>NO</string>
+								</dict>
+								<key>stroke</key>
+								<dict>
+									<key>HeadArrow</key>
+									<string>0</string>
+									<key>Legacy</key>
+									<false/>
+									<key>LineType</key>
+									<integer>1</integer>
+									<key>TailArrow</key>
+									<string>0</string>
+								</dict>
+							</dict>
+							<key>Tail</key>
+							<dict>
+								<key>ID</key>
+								<integer>681</integer>
+							</dict>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{331.65354631622944, 303.06299499367162}, {42.519685425157626, 26}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FitText</key>
+									<string>Vertical</string>
+									<key>Flow</key>
+									<string>Resize</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>677</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [0-9]}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{331.65354631622944, 294.80315228109282}, {42.519685425157626, 42.519685425157633}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>678</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>676</integer>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{274.96063241601939, 222.27559268587214}, {42.519685425157626, 26}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FitText</key>
+									<string>Vertical</string>
+									<key>Flow</key>
+									<string>Resize</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>680</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [A-Z]}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{274.96063241601939, 214.01574997329334}, {42.519685425157626, 42.519685425157633}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>681</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>679</integer>
+						</dict>
+						<dict>
+							<key>Class</key>
+							<string>Group</string>
+							<key>Graphics</key>
+							<array>
+								<dict>
+									<key>Bounds</key>
+									<string>{{212.59842712578808, 303.06299499367162}, {42.519685425157626, 26}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FitText</key>
+									<string>Vertical</string>
+									<key>Flow</key>
+									<string>Resize</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Color</key>
+										<dict>
+											<key>b</key>
+											<string>0</string>
+											<key>g</key>
+											<string>0</string>
+											<key>r</key>
+											<string>0</string>
+										</dict>
+										<key>Size</key>
+										<real>13</real>
+									</dict>
+									<key>ID</key>
+									<integer>683</integer>
+									<key>Style</key>
+									<dict>
+										<key>fill</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+										<key>stroke</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>Text</key>
+										<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [a-z]}</string>
+									</dict>
+								</dict>
+								<dict>
+									<key>Bounds</key>
+									<string>{{212.59842712578808, 294.80315228109282}, {42.519685425157626, 42.519685425157633}}</string>
+									<key>Class</key>
+									<string>ShapedGraphic</string>
+									<key>FontInfo</key>
+									<dict>
+										<key>Size</key>
+										<real>18</real>
+									</dict>
+									<key>ID</key>
+									<integer>684</integer>
+									<key>Shape</key>
+									<string>Circle</string>
+									<key>Style</key>
+									<dict>
+										<key>shadow</key>
+										<dict>
+											<key>Draws</key>
+											<string>NO</string>
+										</dict>
+									</dict>
+									<key>Text</key>
+									<dict>
+										<key>VerticalPad</key>
+										<real>0.0</real>
+									</dict>
+								</dict>
+							</array>
+							<key>ID</key>
+							<integer>682</integer>
+						</dict>
+					</array>
+					<key>ID</key>
+					<integer>673</integer>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{204.09449004075657, 187.08661587069352}, {83.622048002809947, 36.850394035136617}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Color</key>
+						<dict>
+							<key>b</key>
+							<string>0</string>
+							<key>g</key>
+							<string>0</string>
+							<key>r</key>
+							<string>0</string>
+						</dict>
+						<key>Size</key>
+						<real>13</real>
+					</dict>
+					<key>ID</key>
+					<integer>654</integer>
+					<key>Style</key>
+					<dict>
+						<key>fill</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+						<key>stroke</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>Text</key>
+						<string>{\rtf1\ansi\ansicpg932\cocoartf1404\cocoasubrtf340
+{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\qc\partightenfactor0
+
+\f0\fs26 \cf0 [A-Za-z0-9]}</string>
+					</dict>
+				</dict>
+				<dict>
+					<key>Bounds</key>
+					<string>{{180.00000163316736, 162.28346603935148}, {226.7716556008404, 226.77165560084075}}</string>
+					<key>Class</key>
+					<string>ShapedGraphic</string>
+					<key>FontInfo</key>
+					<dict>
+						<key>Size</key>
+						<real>18</real>
+					</dict>
+					<key>ID</key>
+					<integer>655</integer>
+					<key>Shape</key>
+					<string>Circle</string>
+					<key>Style</key>
+					<dict>
+						<key>shadow</key>
+						<dict>
+							<key>Draws</key>
+							<string>NO</string>
+						</dict>
+					</dict>
+					<key>Text</key>
+					<dict>
+						<key>VerticalPad</key>
+						<real>0.0</real>
+					</dict>
+				</dict>
+			</array>
+			<key>GridInfo</key>
+			<dict/>
+			<key>HPages</key>
+			<integer>3</integer>
+			<key>KeepToScale</key>
+			<true/>
+			<key>Layers</key>
+			<array>
+				<dict>
+					<key>Lock</key>
+					<string>NO</string>
+					<key>Name</key>
+					<string>レイヤー 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>neatoLineLength</key>
+				<real>0.20000000298023224</real>
+				<key>neatoSeparation</key>
+				<real>0.0</real>
+				<key>twopiSeparation</key>
+				<real>0.0</real>
+			</dict>
+			<key>Orientation</key>
+			<integer>2</integer>
+			<key>PrintOnePage</key>
+			<false/>
+			<key>RowAlign</key>
+			<integer>1</integer>
+			<key>RowSpacing</key>
+			<real>36</real>
+			<key>SheetTitle</key>
+			<string>cctree</string>
+			<key>UniqueID</key>
+			<integer>24</integer>
+			<key>VPages</key>
+			<integer>1</integer>
+		</dict>
 	</array>
 	<key>SmartAlignmentGuidesActive</key>
 	<string>YES</string>
@@ -59428,13 +63549,13 @@
 	<key>WindowInfo</key>
 	<dict>
 		<key>CurrentSheet</key>
-		<integer>15</integer>
+		<integer>16</integer>
 		<key>Expanded_Canvases</key>
 		<array>
 			<string>キャンバス 7</string>
 		</array>
 		<key>Frame</key>
-		<string>{{-283, 211}, {1198, 966}}</string>
+		<string>{{198, 222}, {1279, 955}}</string>
 		<key>ShowInfo</key>
 		<true/>
 		<key>ShowRuler</key>
@@ -59446,9 +63567,9 @@
 		<key>TopSlabHeight</key>
 		<real>682</real>
 		<key>VisibleRegion</key>
-		<string>{{351.85185185185185, 0.92592592592592593}, {633.33333333333337, 748.14814814814804}}</string>
+		<string>{{0, -295}, {1318.9655172413793, 1374.1379310344828}}</string>
 		<key>Zoom</key>
-		<real>1.0800000000000001</real>
+		<real>0.57999999999999996</real>
 		<key>ZoomValues</key>
 		<array>
 			<array>
@@ -59528,8 +63649,13 @@
 			</array>
 			<array>
 				<string>NFA</string>
+				<real>1.0800000429153442</real>
 				<real>1.0800000000000001</real>
-				<real>1.0900000000000001</real>
+			</array>
+			<array>
+				<string>cctree</string>
+				<real>0.57999999999999996</real>
+				<real>0.59000000000000008</real>
 			</array>
 		</array>
 	</dict>
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/images/regex/cctree.bb	Wed Feb 10 16:07:26 2016 +0900
@@ -0,0 +1,5 @@
+%%Title: images/regex/cctree.pdf
+%%Creator: extractbb 20150315
+%%BoundingBox: 0 0 747 750
+%%CreationDate: Wed Feb 10 14:04:34 2016
+
Binary file images/regex/cctree.pdf has changed
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/images/regex/cctreeex.bb	Wed Feb 10 16:07:26 2016 +0900
@@ -0,0 +1,5 @@
+%%Title: images/regex/cctreeex.pdf
+%%Creator: extractbb 20150315
+%%BoundingBox: 0 0 1545 747
+%%CreationDate: Wed Feb 10 14:32:37 2016
+
Binary file images/regex/cctreeex.pdf has changed
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/images/regex/cctreemerge.bb	Wed Feb 10 16:07:26 2016 +0900
@@ -0,0 +1,5 @@
+%%Title: images/regex/cctreemerge.pdf
+%%Creator: extractbb 20150315
+%%BoundingBox: 0 0 1275 1866
+%%CreationDate: Wed Feb 10 15:57:21 2016
+
Binary file images/regex/cctreemerge.pdf has changed
Binary file images/regex/cctreesub.pdf has changed
Binary file master_paper.pdf has changed
--- a/memo/result.txt	Wed Feb 10 13:13:58 2016 +0900
+++ b/memo/result.txt	Wed Feb 10 16:07:26 2016 +0900
@@ -1,8 +1,12 @@
 Wed Feb 10 11:06:12 JST 2016
 
+
+
 egrep -o '(a|b)*a(a|b)(a|b)(a|b)(a|b)(a|b)(a|b)(a|b)' file/ab500MB.txt >   113.08s user 0.21s system 99% cpu 1:53.29 total
+12503552
 
 egrep -o '(a|b)*a(a|b)(a|b)(a|b)(a|b)(a|b)(a|b)' file/ab500MB.txt > /dev/null  103.32s user 0.18s system 99% cpu 1:43.50 total
+14066496
 
 egrep -o '(a|b)*a(a|b)(a|b)(a|b)(a|b)(a|b)' file/ab500MB.txt > /dev/null  98.29s user 0.18s system 99% cpu 1:38.47 total
 15629440
@@ -18,6 +22,7 @@
 
 egrep -o '[A-Z][a-zA-Z0-9_]*' 500MB.txt > /dev/null
 56.34s user 0.16s system 99% cpu 56.506 total
+line:13260580
 
 sudo purge 後(キャッシュ消した)
 egrep -o '[A-Z][a-zA-Z0-9_]*' 500MB.txt > /dev/null