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Book/Chapter4/Figures/cyk-algorithm.tex

-%------------------------------------------------------------------------------------------------------------
-%%%  CYK解码
-% 看NiuTrans Manual
-\begin{center}
-\begin{tikzpicture}
-\tikzstyle{alignmentnode} = [rectangle,fill=blue!30,minimum size=0.45em,text=white,inner sep=0.1pt]
-\tikzstyle{selectnode} = [rectangle,fill=green!20,minimum height=1.5em,minimum width=1.5em,inner sep=1.2pt]
-\tikzstyle{srcnode} = [anchor=south west]
-\begin{scope}[scale=0.85]
-
-\node[srcnode] (c1) at (0,0) {\normalsize{\textbf{Function} CYK-Algorithm($\textbf{s},G$)}};
-\node[srcnode,anchor=north west] (c21) at ([xshift=1.5em,yshift=0.4em]c1.south west) {\normalsize{\textbf{fore} $j=0$ to $ J - 1$}};
-\node[srcnode,anchor=north west] (c22) at ([xshift=1.5em,yshift=0.4em]c21.south west) {\normalsize{$span[j,j+1 ]$.Add($A \to a \in G$)}};
-\node[srcnode,anchor=north west] (c3) at ([xshift=-1.5em,yshift=0.4em]c22.south west) {\normalsize{\textbf{for} $l$ = 1 to $J$}};
-\node[srcnode,anchor=west] (c31) at ([xshift=6em]c3.east) {\normalsize{// length of span}};
-\node[srcnode,anchor=north west] (c4) at ([xshift=1.5em,yshift=0.4em]c3.south west) {\normalsize{\textbf{for} $j$ = 0 to $J-l$}};
-\node[srcnode,anchor=north west] (c41) at ([yshift=0.4em]c31.south west) {\normalsize{// beginning of span}};
-\node[srcnode,anchor=north west] (c5) at ([xshift=1.5em,yshift=0.4em]c4.south west) {\normalsize{\textbf{for} $k$ = $j$ to $j+l$}};
-\node[srcnode,anchor=north west] (c51) at ([yshift=0.4em]c41.south west) {\normalsize{// partition of span}};
-\node[srcnode,anchor=north west] (c6) at ([xshift=1.5em,yshift=0.4em]c5.south west) {\normalsize{$hypos$ = Compose($span[j, k], span[k, j+l]$)}};
-\node[srcnode,anchor=north west] (c7) at ([yshift=0.4em]c6.south west) {\normalsize{$span[j, j+l]$.Update($hypos$)}};
-\node[srcnode,anchor=north west] (c8) at ([xshift=-4.5em,yshift=0.4em]c7.south west) {\normalsize{\textbf{return} $span[0, J]$}};
-
-\node[anchor=west] (c9) at ([xshift=-3.2em,yshift=1.7em]c1.west) {\small{\textrm{参数：}\textbf{s}为输入字符串。$G$为输入CFG。$J$为待分析字符串长度。}};
-\node[anchor=west] (c10) at ([xshift=0em,yshift=1.3em]c9.west) {\small{\textrm{输出：字符串全部可能的语法分析结果}}};
-\node[anchor=west] (c11) at ([xshift=0em,yshift=1.3em]c10.west) {\small{\textrm{输入：符合乔姆斯基范式的待分析字符串和一个上下文无关文法（CFG）}}};
-
-
-
-\begin{pgfonlayer}{background}
-\node [rectangle,inner sep=0.2em,rounded corners=1pt,fill=blue!10!white] [fit = (c1) (c21) (c3) (c6) (c7) (c8) (c11)] (gl1) {};
-\end{pgfonlayer}
-
-\end{scope}
-
-\end{tikzpicture}
-\end{center}
-

Book/Chapter4/Figures/example-of-cyk-algorithm-execution-label.tex

-%------------------------------------------------------------------------------------------------------------
-%%%  基于树的解码方法 - chart-based decoding
-\begin{center}
-\begin{tikzpicture}\footnotesize
-\begin{scope}[scale=0.2]
-\node[anchor=south east] (g1) at (0,0) {\small{$\textrm{S} \to \textrm{AB}\ \ \ \textrm{A} \to \textrm{CD}\  \vert \  \textrm{CF}\ \ \ \textrm{B} \to \textrm{c}\  \vert \  \textrm{BE}$}};
-\node[anchor=north west] (g2) at ([yshift=0.3em]g1.south west) {\small{$\textrm{C} \to \textrm{a}\ \ \ \  \textrm{D} \to \textrm{b}\ \ \ \ \textrm{E} \to \textrm{c}\ \ \ \ \textrm{F} \to \textrm{AD}$}};
-
-\begin{pgfonlayer}{background}
-\node [rectangle,inner sep=0.1em,rounded corners=1pt,fill=green!10,drop shadow,draw=ugreen] [fit = (g1) (g2)] (gl1) {};
-\end{pgfonlayer}
-\end{scope}
-\end{tikzpicture}
-\end{center}

Book/Chapter4/Figures/example-of-cyk-algorithm-execution.tex

-%------------------------------------------------------------------------------------------------------------
-%%%  CYK解码
-\begin{tikzpicture}\scriptsize
-\tikzstyle{alignmentnode} = [rectangle,fill=blue!20,minimum size=0.5em,text=white,inner sep=0.1pt]
-\tikzstyle{selectnode} = [rectangle,fill=green!20,minimum height=1.5em,minimum width=1.5em,inner sep=1.2pt]
-\tikzstyle{srcnode} = [anchor=south west]
-\tikzstyle{chartnode}=[rectangle,minimum size=1.3em,draw]
-%图1
-\begin{scope}[scale=0.5]
-
-\node [anchor=east] (s1) at (0,0) {a};
-\node [anchor=north west] (s2) at ([yshift=-2.5em]s1.south west) {a};
-\node [anchor=north west] (s3) at ([yshift=-2.4em]s2.south west) {b};
-\node [anchor=north west] (s4) at ([yshift=-2.3em]s3.south west) {b};
-\node [anchor=north west] (s5) at ([yshift=-2.2em]s4.south west) {c};
-
-\node [alignmentnode,anchor=west] (cell11) at ([xshift=1.9em]s1.east) {};
-\node [alignmentnode,anchor=west] (cell21) at ([xshift=1.9em]s2.east) {};
-\node [alignmentnode,anchor=west] (cell22) at ([xshift=3.5em]cell21.east) {};
-\node [alignmentnode,anchor=west] (cell31) at ([xshift=2em]s3.east) {};
-\node [alignmentnode,anchor=west] (cell32) at ([xshift=3.5em]cell31.east) {};
-\node [alignmentnode,anchor=west] (cell33) at ([xshift=3.5em]cell32.east) {};
-\node [alignmentnode,anchor=west] (cell41) at ([xshift=1.9em]s4.east) {};
-\node [alignmentnode,anchor=west] (cell42) at ([xshift=3.5em]cell41.east) {};
-\node [alignmentnode,anchor=west] (cell43) at ([xshift=3.5em]cell42.east) {};
-\node [alignmentnode,anchor=west] (cell44) at ([xshift=3.5em]cell43.east) {};
-\node [alignmentnode,anchor=west] (cell51) at ([xshift=1.9em]s5.east) {};
-\node [alignmentnode,anchor=west] (cell52) at ([xshift=3.5em]cell51.east) {};
-\node [alignmentnode,anchor=west] (cell53) at ([xshift=3.5em]cell52.east) {};
-\node [alignmentnode,anchor=west] (cell54) at ([xshift=3.5em]cell53.east) {};
-\node [alignmentnode,anchor=west] (cell55) at ([xshift=3.5em]cell54.east) {};
-
-\node [anchor=north] (l1) at ([yshift=-1em]cell51.south) {\tiny{$l$=1}};
-\node [anchor=north] (l2) at ([yshift=-1em]cell52.south) {\tiny{$l$=2}};
-\node [anchor=north] (l3) at ([yshift=-1em]cell53.south) {\tiny{$l$=3}};
-\node [anchor=north] (l4) at ([yshift=-1em]cell54.south) {\tiny{$l$=4}};
-\node [anchor=north] (l5) at ([yshift=-1em]cell55.south) {\tiny{$l$=5}};
-\node [anchor=north] (caption1) at ([xshift=0.0em,yshift=0.0em]l5.south) {(a)};
-
-\node [anchor=center] (y1) at ([xshift=-2.1em,yshift=2em]cell11.center) {\tiny{\blue 0}};
-\node [anchor=center] (y2) at ([xshift=-2.1em,yshift=2em]cell21.center) {\tiny{\blue 1}};
-\node [anchor=center] (y3) at ([xshift=-2.1em,yshift=2em]cell31.center) {\tiny{\blue 2}};
-\node [anchor=center] (y4) at ([xshift=-2.1em,yshift=2em]cell41.center) {\tiny{\blue 3}};
-\node [anchor=center] (y5) at ([xshift=-2.1em,yshift=2em]cell51.center) {\tiny{\blue 4}};
-\node [anchor=center] (y6) at ([xshift=-2.1em,yshift=-2em]cell51.center) {\tiny{\blue 5}};
-
-\node [anchor=west] (num) at ([xshift=22.3em,yshift=2em]s1.east) {\scriptsize{序号}};
-\node [anchor=west] (kua) at ([xshift=0em]num.east) {\scriptsize{跨度}};
-\node [anchor=west] (tui) at ([xshift=0.4em]kua.east) {\scriptsize{推导}};
-
-\draw[-] ([yshift=-0.1em]num.south west)--([xshift=17em,yshift=-0.1em]num.south west);
-
-{
-\node [anchor=west] (n1) at ([xshift=1.4em,yshift=-1.5em]num.south west) {\scriptsize{1}};
-\node [anchor=west] (k1) at ([yshift=-1.8em]kua.south west) {\scriptsize{[{\blue 0},{\blue 1}]}};
-\node [anchor=west] (t1) at ([xshift=-0.8em,yshift=-1.5em]tui.south west) {\scriptsize{C $\to$ a}};
-\node [anchor=center,selectnode,fill=red!20] (alig11) at (cell11.center) {\tiny{C}};
-}
-\end{scope}
-
-%图2
-\begin{scope}[xshift=22.5em,scale=0.5]
-
-\node [anchor=east] (s1) at (0,0) {a};
-\node [anchor=north west] (s2) at ([yshift=-2.5em]s1.south west) {a};
-\node [anchor=north west] (s3) at ([yshift=-2.4em]s2.south west) {b};
-\node [anchor=north west] (s4) at ([yshift=-2.3em]s3.south west) {b};
-\node [anchor=north west] (s5) at ([yshift=-2.2em]s4.south west) {c};
-
-\node [alignmentnode,anchor=west] (cell11) at ([xshift=1.9em]s1.east) {};
-\node [alignmentnode,anchor=west] (cell21) at ([xshift=1.9em]s2.east) {};
-\node [alignmentnode,anchor=west] (cell22) at ([xshift=3.5em]cell21.east) {};
-\node [alignmentnode,anchor=west] (cell31) at ([xshift=2em]s3.east) {};
-\node [alignmentnode,anchor=west] (cell32) at ([xshift=3.5em]cell31.east) {};
-\node [alignmentnode,anchor=west] (cell33) at ([xshift=3.5em]cell32.east) {};
-\node [alignmentnode,anchor=west] (cell41) at ([xshift=1.9em]s4.east) {};
-\node [alignmentnode,anchor=west] (cell42) at ([xshift=3.5em]cell41.east) {};
-\node [alignmentnode,anchor=west] (cell43) at ([xshift=3.5em]cell42.east) {};
-\node [alignmentnode,anchor=west] (cell44) at ([xshift=3.5em]cell43.east) {};
-\node [alignmentnode,anchor=west] (cell51) at ([xshift=1.9em]s5.east) {};
-\node [alignmentnode,anchor=west] (cell52) at ([xshift=3.5em]cell51.east) {};
-\node [alignmentnode,anchor=west] (cell53) at ([xshift=3.5em]cell52.east) {};
-\node [alignmentnode,anchor=west] (cell54) at ([xshift=3.5em]cell53.east) {};
-\node [alignmentnode,anchor=west] (cell55) at ([xshift=3.5em]cell54.east) {};
-
-\node [anchor=north] (l1) at ([yshift=-1em]cell51.south) {\tiny{$l$=1}};
-\node [anchor=north] (l2) at ([yshift=-1em]cell52.south) {\tiny{$l$=2}};
-\node [anchor=north] (l3) at ([yshift=-1em]cell53.south) {\tiny{$l$=3}};
-\node [anchor=north] (l4) at ([yshift=-1em]cell54.south) {\tiny{$l$=4}};
-\node [anchor=north] (l5) at ([yshift=-1em]cell55.south) {\tiny{$l$=5}};
-\node [anchor=north] (caption2) at ([xshift=0.0em,yshift=0.0em]l5.south) {(b)};
-
-\node [anchor=center] (y1) at ([xshift=-2.1em,yshift=2em]cell11.center) {\tiny{\blue 0}};
-\node [anchor=center] (y2) at ([xshift=-2.1em,yshift=2em]cell21.center) {\tiny{\blue 1}};
-\node [anchor=center] (y3) at ([xshift=-2.1em,yshift=2em]cell31.center) {\tiny{\blue 2}};
-\node [anchor=center] (y4) at ([xshift=-2.1em,yshift=2em]cell41.center) {\tiny{\blue 3}};
-\node [anchor=center] (y5) at ([xshift=-2.1em,yshift=2em]cell51.center) {\tiny{\blue 4}};
-\node [anchor=center] (y6) at ([xshift=-2.1em,yshift=-2em]cell51.center) {\tiny{\blue 5}};
-
-\node [anchor=west] (num) at ([xshift=22.3em,yshift=2em]s1.east) {\scriptsize{序号}};
-\node [anchor=west] (kua) at ([xshift=0em]num.east) {\scriptsize{跨度}};
-\node [anchor=west] (tui) at ([xshift=0.4em]kua.east) {\scriptsize{推导}};
-
-\draw[-] ([yshift=-0.1em]num.south west)--([xshift=17em,yshift=-0.1em]num.south west);
-
-{
-\node [anchor=west] (n1) at ([xshift=1.4em,yshift=-1.5em]num.south west) {\scriptsize{1}};
-\node [anchor=west] (k1) at ([yshift=-1.8em]kua.south west) {\scriptsize{[{\blue 0},{\blue 1}]}};
-\node [anchor=west] (t1) at ([xshift=-0.8em,yshift=-1.5em]tui.south west) {\scriptsize{C $\to$ a}};
-\node [anchor=center,selectnode,fill=red!20] (alig11) at (cell11.center) {\tiny{C}};
-}
-
-{
-\node [anchor=center] (n2) at ([yshift=-2.2em]n1.center) {\scriptsize{2}};
-\node [anchor=center] (k2) at ([yshift=-2.2em]k1.center) {\scriptsize{[{\blue 1},{\blue 2}]}};
-\node [anchor=west] (t2) at ([yshift=-2.2em]t1.west) {\scriptsize{C $\to$ a}};
-\node [anchor=center,selectnode,fill=red!20] (alig21) at (cell21.center) {\tiny{C}};
-}
-
-{
-\node [anchor=center] (n3) at ([yshift=-2.2em]n2.center) {\scriptsize{3}};
-\node [anchor=center] (k3) at ([yshift=-2.2em]k2.center) {\scriptsize{[{\blue 2},{\blue 3}]}};
-\node [anchor=west] (t3) at ([yshift=-2.2em]t2.west) {\scriptsize{D $\to$ b}};
-\node [anchor=center,selectnode,fill=red!20] (alig31) at (cell31.center) {\tiny{D}};
-}
-
-{
-\node [anchor=center] (n4) at ([yshift=-2.2em]n3.center) {\scriptsize{4}};
-\node [anchor=center] (k4) at ([yshift=-2.2em]k3.center) {\scriptsize{[{\blue 3},{\blue 4}]}};
-\node [anchor=west] (t4) at ([yshift=-2.2em]t3.west) {\scriptsize{D $\to$ b}};
-\node [anchor=center,selectnode,fill=red!20] (alig41) at (cell41.center) {\tiny{D}};
-}
-
-{
-\node [anchor=center] (n5) at ([yshift=-2.2em]n4.center) {\scriptsize{5}};
-\node [anchor=center] (k5) at ([yshift=-2.2em]k4.center) {\scriptsize{[{\blue 4},{\blue 5}]}};
-\node [anchor=west] (t5) at ([yshift=-2.2em]t4.west) {\scriptsize{B $\to$ c , }};
-\node [anchor=east] (t52) at ([xshift=-1em,yshift=-2em]t5.east) {\scriptsize{E $\to$ c}};
-\node [anchor=center,selectnode,fill=red!20] (alig51) at (cell51.center) {\tiny{B,E}};
-}
-\end{scope}
-
-%图3
-\begin{scope}[yshift=-16.0em,scale=0.5]
-
-\node [anchor=east] (s1) at (0,0) {a};
-\node [anchor=north west] (s2) at ([yshift=-2.5em]s1.south west) {a};
-\node [anchor=north west] (s3) at ([yshift=-2.4em]s2.south west) {b};
-\node [anchor=north west] (s4) at ([yshift=-2.3em]s3.south west) {b};
-\node [anchor=north west] (s5) at ([yshift=-2.2em]s4.south west) {c};
-
-\node [alignmentnode,anchor=west] (cell11) at ([xshift=1.9em]s1.east) {};
-\node [alignmentnode,anchor=west] (cell21) at ([xshift=1.9em]s2.east) {};
-\node [alignmentnode,anchor=west] (cell22) at ([xshift=3.5em]cell21.east) {};
-\node [alignmentnode,anchor=west] (cell31) at ([xshift=2em]s3.east) {};
-\node [alignmentnode,anchor=west] (cell32) at ([xshift=3.5em]cell31.east) {};
-\node [alignmentnode,anchor=west] (cell33) at ([xshift=3.5em]cell32.east) {};
-\node [alignmentnode,anchor=west] (cell41) at ([xshift=1.9em]s4.east) {};
-\node [alignmentnode,anchor=west] (cell42) at ([xshift=3.5em]cell41.east) {};
-\node [alignmentnode,anchor=west] (cell43) at ([xshift=3.5em]cell42.east) {};
-\node [alignmentnode,anchor=west] (cell44) at ([xshift=3.5em]cell43.east) {};
-\node [alignmentnode,anchor=west] (cell51) at ([xshift=1.9em]s5.east) {};
-\node [alignmentnode,anchor=west] (cell52) at ([xshift=3.5em]cell51.east) {};
-\node [alignmentnode,anchor=west] (cell53) at ([xshift=3.5em]cell52.east) {};
-\node [alignmentnode,anchor=west] (cell54) at ([xshift=3.5em]cell53.east) {};
-\node [alignmentnode,anchor=west] (cell55) at ([xshift=3.5em]cell54.east) {};
-
-\node [anchor=north] (l1) at ([yshift=-1em]cell51.south) {\tiny{$l$=1}};
-\node [anchor=north] (l2) at ([yshift=-1em]cell52.south) {\tiny{$l$=2}};
-\node [anchor=north] (l3) at ([yshift=-1em]cell53.south) {\tiny{$l$=3}};
-\node [anchor=north] (l4) at ([yshift=-1em]cell54.south) {\tiny{$l$=4}};
-\node [anchor=north] (l5) at ([yshift=-1em]cell55.south) {\tiny{$l$=5}};
-\node [anchor=north] (caption3) at ([xshift=0.0em,yshift=0.0em]l5.south) {(c)};
-
-\node [anchor=center] (y1) at ([xshift=-2.1em,yshift=2em]cell11.center) {\tiny{\blue 0}};
-\node [anchor=center] (y2) at ([xshift=-2.1em,yshift=2em]cell21.center) {\tiny{\blue 1}};
-\node [anchor=center] (y3) at ([xshift=-2.1em,yshift=2em]cell31.center) {\tiny{\blue 2}};
-\node [anchor=center] (y4) at ([xshift=-2.1em,yshift=2em]cell41.center) {\tiny{\blue 3}};
-\node [anchor=center] (y5) at ([xshift=-2.1em,yshift=2em]cell51.center) {\tiny{\blue 4}};
-\node [anchor=center] (y6) at ([xshift=-2.1em,yshift=-2em]cell51.center) {\tiny{\blue 5}};
-
-\node [anchor=west] (num) at ([xshift=22.3em,yshift=2em]s1.east) {\scriptsize{序号}};
-\node [anchor=west] (kua) at ([xshift=0em]num.east) {\scriptsize{跨度}};
-\node [anchor=west] (tui) at ([xshift=0.4em]kua.east) {\scriptsize{推导}};
-
-\draw[-] ([yshift=-0.1em]num.south west)--([xshift=17em,yshift=-0.1em]num.south west);
-
-{
-\node [anchor=west] (n1) at ([xshift=1.4em,yshift=-1.5em]num.south west) {\scriptsize{1}};
-\node [anchor=west] (k1) at ([yshift=-1.8em]kua.south west) {\scriptsize{[{\blue 0},{\blue 1}]}};
-\node [anchor=west] (t1) at ([xshift=-0.8em,yshift=-1.5em]tui.south west) {\scriptsize{C $\to$ a}};
-\node [anchor=center,selectnode,fill=red!20] (alig11) at (cell11.center) {\tiny{C}};
-}
-
-{
-\node [anchor=center] (n2) at ([yshift=-2.2em]n1.center) {\scriptsize{2}};
-\node [anchor=center] (k2) at ([yshift=-2.2em]k1.center) {\scriptsize{[{\blue 1},{\blue 2}]}};
-\node [anchor=west] (t2) at ([yshift=-2.2em]t1.west) {\scriptsize{C $\to$ a}};
-\node [anchor=center,selectnode,fill=red!20] (alig21) at (cell21.center) {\tiny{C}};
-}
-
-{
-\node [anchor=center] (n3) at ([yshift=-2.2em]n2.center) {\scriptsize{3}};
-\node [anchor=center] (k3) at ([yshift=-2.2em]k2.center) {\scriptsize{[{\blue 2},{\blue 3}]}};
-\node [anchor=west] (t3) at ([yshift=-2.2em]t2.west) {\scriptsize{D $\to$ b}};
-\node [anchor=center,selectnode,fill=red!20] (alig31) at (cell31.center) {\tiny{D}};
-}
-
-{
-\node [anchor=center] (n4) at ([yshift=-2.2em]n3.center) {\scriptsize{4}};
-\node [anchor=center] (k4) at ([yshift=-2.2em]k3.center) {\scriptsize{[{\blue 3},{\blue 4}]}};
-\node [anchor=west] (t4) at ([yshift=-2.2em]t3.west) {\scriptsize{D $\to$ b}};
-\node [anchor=center,selectnode,fill=red!20] (alig41) at (cell41.center) {\tiny{D}};
-}
-
-{
-\node [anchor=center] (n5) at ([yshift=-2.2em]n4.center) {\scriptsize{5}};
-\node [anchor=center] (k5) at ([yshift=-2.2em]k4.center) {\scriptsize{[{\blue 4},{\blue 5}]}};
-\node [anchor=west] (t5) at ([yshift=-2.2em]t4.west) {\scriptsize{B $\to$ c , }};
-\node [anchor=east] (t52) at ([xshift=-1em,yshift=-2em]t5.east) {\scriptsize{E $\to$ c}};
-\node [anchor=center,selectnode,fill=red!20] (alig51) at (cell51.center) {\tiny{B,E}};
-}
-
-{
-\node [anchor=center] (n6) at ([yshift=-4em]n5.center) {\scriptsize{6}};
-\node [anchor=center] (k6) at ([yshift=-4em]k5.center) {\scriptsize{[{\blue 0},{\blue 2}]}};
-\node [anchor=west] (t6) at ([xshift=0.2em,yshift=-4em]t5.west) {\scriptsize{none}};
-\node [anchor=center,selectnode,fill=red!20] (alig22) at (cell22.center) {\tiny{}};
-}
-
-{
-\node [anchor=center] (n7) at ([yshift=-2.2em]n6.center) {\scriptsize{7}};
-\node [anchor=center] (k7) at ([yshift=-2.2em]k6.center) {\scriptsize{[{\blue 1},{\blue 3}]}};
-\node [anchor=west] (t7) at ([yshift=-2.2em]t6.west) {\scriptsize{A $\to$ CD}};
-\node [anchor=center,selectnode,fill=red!20] (alig32) at (cell32.center) {\tiny{A}};
-}
-\end{scope}
-
-
-%图4
-\begin{scope}[xshift=22.5em,yshift=-16.0em,scale=0.5]
-
-\node [anchor=east] (s1) at (0,0) {a};
-\node [anchor=north west] (s2) at ([yshift=-2.5em]s1.south west) {a};
-\node [anchor=north west] (s3) at ([yshift=-2.4em]s2.south west) {b};
-\node [anchor=north west] (s4) at ([yshift=-2.3em]s3.south west) {b};
-\node [anchor=north west] (s5) at ([yshift=-2.2em]s4.south west) {c};
-
-\node [alignmentnode,anchor=west] (cell11) at ([xshift=1.9em]s1.east) {};
-\node [alignmentnode,anchor=west] (cell21) at ([xshift=1.9em]s2.east) {};
-\node [alignmentnode,anchor=west] (cell22) at ([xshift=3.5em]cell21.east) {};
-\node [alignmentnode,anchor=west] (cell31) at ([xshift=2em]s3.east) {};
-\node [alignmentnode,anchor=west] (cell32) at ([xshift=3.5em]cell31.east) {};
-\node [alignmentnode,anchor=west] (cell33) at ([xshift=3.5em]cell32.east) {};
-\node [alignmentnode,anchor=west] (cell41) at ([xshift=1.9em]s4.east) {};
-\node [alignmentnode,anchor=west] (cell42) at ([xshift=3.5em]cell41.east) {};
-\node [alignmentnode,anchor=west] (cell43) at ([xshift=3.5em]cell42.east) {};
-\node [alignmentnode,anchor=west] (cell44) at ([xshift=3.5em]cell43.east) {};
-\node [alignmentnode,anchor=west] (cell51) at ([xshift=1.9em]s5.east) {};
-\node [alignmentnode,anchor=west] (cell52) at ([xshift=3.5em]cell51.east) {};
-\node [alignmentnode,anchor=west] (cell53) at ([xshift=3.5em]cell52.east) {};
-\node [alignmentnode,anchor=west] (cell54) at ([xshift=3.5em]cell53.east) {};
-\node [alignmentnode,anchor=west] (cell55) at ([xshift=3.5em]cell54.east) {};
-
-\node [anchor=north] (l1) at ([yshift=-1em]cell51.south) {\tiny{$l$=1}};
-\node [anchor=north] (l2) at ([yshift=-1em]cell52.south) {\tiny{$l$=2}};
-\node [anchor=north] (l3) at ([yshift=-1em]cell53.south) {\tiny{$l$=3}};
-\node [anchor=north] (l4) at ([yshift=-1em]cell54.south) {\tiny{$l$=4}};
-\node [anchor=north] (l5) at ([yshift=-1em]cell55.south) {\tiny{$l$=5}};
-\node [anchor=north] (caption4) at ([xshift=0.0em,yshift=0.0em]l5.south) {(d)};
-
-\node [anchor=center] (y1) at ([xshift=-2.1em,yshift=2em]cell11.center) {\tiny{\blue 0}};
-\node [anchor=center] (y2) at ([xshift=-2.1em,yshift=2em]cell21.center) {\tiny{\blue 1}};
-\node [anchor=center] (y3) at ([xshift=-2.1em,yshift=2em]cell31.center) {\tiny{\blue 2}};
-\node [anchor=center] (y4) at ([xshift=-2.1em,yshift=2em]cell41.center) {\tiny{\blue 3}};
-\node [anchor=center] (y5) at ([xshift=-2.1em,yshift=2em]cell51.center) {\tiny{\blue 4}};
-\node [anchor=center] (y6) at ([xshift=-2.1em,yshift=-2em]cell51.center) {\tiny{\blue 5}};
-
-\node [anchor=west] (num) at ([xshift=22.3em,yshift=2em]s1.east) {\scriptsize{序号}};
-\node [anchor=west] (kua) at ([xshift=0em]num.east) {\scriptsize{跨度}};
-\node [anchor=west] (tui) at ([xshift=0.4em]kua.east) {\scriptsize{推导}};
-
-\draw[-] ([yshift=-0.1em]num.south west)--([xshift=17em,yshift=-0.1em]num.south west);
-
-{
-\node [anchor=west] (n1) at ([xshift=1.4em,yshift=-1.5em]num.south west) {\scriptsize{1}};
-\node [anchor=west] (k1) at ([yshift=-1.8em]kua.south west) {\scriptsize{[{\blue 0},{\blue 1}]}};
-\node [anchor=west] (t1) at ([xshift=-0.8em,yshift=-1.5em]tui.south west) {\scriptsize{C $\to$ a}};
-\node [anchor=center,selectnode,fill=red!20] (alig11) at (cell11.center) {\tiny{C}};
-}
-
-{
-\node [anchor=center] (n2) at ([yshift=-2.2em]n1.center) {\scriptsize{2}};
-\node [anchor=center] (k2) at ([yshift=-2.2em]k1.center) {\scriptsize{[{\blue 1},{\blue 2}]}};
-\node [anchor=west] (t2) at ([yshift=-2.2em]t1.west) {\scriptsize{C $\to$ a}};
-\node [anchor=center,selectnode,fill=red!20] (alig21) at (cell21.center) {\tiny{C}};
-}
-
-{
-\node [anchor=center] (n3) at ([yshift=-2.2em]n2.center) {\scriptsize{3}};
-\node [anchor=center] (k3) at ([yshift=-2.2em]k2.center) {\scriptsize{[{\blue 2},{\blue 3}]}};
-\node [anchor=west] (t3) at ([yshift=-2.2em]t2.west) {\scriptsize{D $\to$ b}};
-\node [anchor=center,selectnode,fill=red!20] (alig31) at (cell31.center) {\tiny{D}};
-}
-
-{
-\node [anchor=center] (n4) at ([yshift=-2.2em]n3.center) {\scriptsize{4}};
-\node [anchor=center] (k4) at ([yshift=-2.2em]k3.center) {\scriptsize{[{\blue 3},{\blue 4}]}};
-\node [anchor=west] (t4) at ([yshift=-2.2em]t3.west) {\scriptsize{D $\to$ b}};
-\node [anchor=center,selectnode,fill=red!20] (alig41) at (cell41.center) {\tiny{D}};
-}
-
-{
-\node [anchor=center] (n5) at ([yshift=-2.2em]n4.center) {\scriptsize{5}};
-\node [anchor=center] (k5) at ([yshift=-2.2em]k4.center) {\scriptsize{[{\blue 4},{\blue 5}]}};
-\node [anchor=west] (t5) at ([yshift=-2.2em]t4.west) {\scriptsize{B $\to$ c , }};
-\node [anchor=east] (t52) at ([xshift=-1em,yshift=-2em]t5.east) {\scriptsize{E $\to$ c}};
-\node [anchor=center,selectnode,fill=red!20] (alig51) at (cell51.center) {\tiny{B,E}};
-}
-
-{
-\node [anchor=center] (n6) at ([yshift=-4em]n5.center) {\scriptsize{6}};
-\node [anchor=center] (k6) at ([yshift=-4em]k5.center) {\scriptsize{[{\blue 0},{\blue 2}]}};
-\node [anchor=west] (t6) at ([xshift=0.2em,yshift=-4.2em]t5.west) {\scriptsize{none}};
-\node [anchor=center,selectnode,fill=red!20] (alig22) at (cell22.center) {\tiny{}};
-}
-
-{
-\node [anchor=center] (n7) at ([yshift=-2.2em]n6.center) {\scriptsize{7}};
-\node [anchor=center] (k7) at ([yshift=-2.2em]k6.center) {\scriptsize{[{\blue 1},{\blue 3}]}};
-\node [anchor=west] (t7) at ([yshift=-2.2em]t6.west) {\scriptsize{A $\to$ CD}};
-\node [anchor=center,selectnode,fill=red!20] (alig32) at (cell32.center) {\tiny{A}};
-}
-
-
-{
-\node [anchor=center] (sep1) at ([yshift=-1.7em]n7.center) {\scriptsize{...}};
-\node [anchor=center] (n8) at ([yshift=-3.4em]n7.center) {\scriptsize{15}};
-\node [anchor=center] (k8) at ([yshift=-3.4em]k7.center) {\scriptsize{[{\blue 0},{\blue 5}]}};
-\node [anchor=west] (t8) at ([yshift=-3.4em]t7.west) {\tiny{S $\to$ AB}};
-
-\node [anchor=center,selectnode,fill=red!20] (alig33) at (cell33.center) {\tiny{}};
-\node [anchor=center,selectnode,fill=red!20] (alig42) at (cell42.center) {\tiny{}};
-\node [anchor=center,selectnode,fill=red!20] (alig43) at (cell43.center) {\tiny{F}};
-\node [anchor=center,selectnode,fill=red!20] (alig44) at (cell44.center) {\tiny{A}};
-\node [anchor=center,selectnode,fill=red!20] (alig52) at (cell52.center) {\tiny{}};
-\node [anchor=center,selectnode,fill=red!20] (alig53) at (cell53.center) {\tiny{}};
-\node [anchor=center,selectnode,fill=red!20] (alig54) at (cell54.center) {\tiny{}};
-\node [anchor=center,selectnode,fill=red!20] (alig55) at (cell55.center) {\tiny{S}};
-}
-\end{scope}
-
-
-
-
-
-\end{tikzpicture}
-
-