
\documentstyle{csart}

\begin{document}

\setlength{\unitlength}{1mm}
\begin{picture}(160,160)(-10,-40)
% top row horiz vectors
\put(8,100){\vector(1,0){7}}
\multiput(25,100)(20,0){4}{\vector(1,0){10}}
% rest of vectors
\multiput(0,40)(20,0){6}{\multiput(0,15)(0,20){3}{\vector(0,-1){10}}}
\multiput(0,40)(20,0){5}{\multiput(5,0)(0,20){3}{\vector(1,0){10}}}
\multiput(0,35)(20,0){5}{\vector(0,-1){10}}
\multiput(5,20)(20,0){4}{\vector(1,0){10}}
\multiput(0,15)(20,0){4}{\vector(0,-1){10}}
\multiput(5,00)(20,0){3}{\vector(1,0){10}}
%
\put(0,100){\makebox(0,0){$\cal{C}_{i - 1,j - 1}$}}
%
\put(100,40){\makebox(0,0){$\cal{A}_{ij}$}}
\put(80,20){\makebox(0,0){$\cal{C}_{ij}$}}
\put(60,0){\makebox(0,0){$\cal{B}_{ij}$}}
%
\put(-7,90){\makebox(0,0)[r]{$Q_{j-1}.P_{i-1}^I?\mbox{chg}$}}
\put(-7,70){\makebox(0,0)[r]{$Q_j.Q_{j-1}^O!\mbox{ini}$}}
\put(-7,50){\makebox(0,0)[r]{$Q_j.Q_{j-1}^I?\mbox{ini}$}}
\put(-7,30){\makebox(0,0)[r]{$P_i.Q_j^O!\mbox{chg}$}}
\put(-7,10){\makebox(0,0)[r]{$P_i.Q_j^I?\mbox{chg}$}}
%
\put(10,108){\makebox(0,0)[b]{$P_{i-1}.Q_{j-1}^I?\mbox{chg}$}}
\put(30,115){\makebox(0,0)[b]{$P_i.P_{i-1}^O!\mbox{ini}$}}
\put(50,108){\makebox(0,0)[b]{$P_i.P_{i-1}^I?\mbox{ini}$}}
\put(70,115){\makebox(0,0)[b]{$Q_j.P_i^O!\mbox{chg}$}}
\put(90,108){\makebox(0,0)[b]{$Q_j.P_i^I?\mbox{chg}$}}
%
\end{picture}

\begin{picture}(160,160)(-10,-40)
% top row horiz vectors
\put(-13,40){\vector(1,0){8}}
%\multiput(5,40)(20,0){5}{\vector(1,0){10}}
% rest of vectors
\multiput(0,40)(20,0){5}{\put(5,0){\vector(1,0){10}}}
\multiput(0,35)(20,0){5}{\vector(0,-1){10}}
\multiput(5,20)(20,0){4}{\vector(1,0){10}}
\multiput(0,15)(20,0){4}{\vector(0,-1){10}}
\multiput(5,00)(20,0){3}{\vector(1,0){10}}
%
\put(-20,40){\makebox(0,0){$\cal{A}_{i - 1,j}$}}
%
\put(100,40){\makebox(0,0){$\cal{A}_{ij}$}}
\put(80,20){\makebox(0,0){$\cal{C}_{ij}$}}
\put(60,0){\makebox(0,0){$\cal{B}_{ij}$}}
%
\put(-27,30){\makebox(0,0)[r]{$P_i.Q_j^O!\mbox{chg}$}}
\put(-27,10){\makebox(0,0)[r]{$P_i.Q_j^I?\mbox{chg}$}}
%
\put(-10,55){\makebox(0,0)[b]{$P_{i-1}.Q_j^O!\mbox{quo}$}}
\put(10,48){\makebox(0,0)[b]{$P_{i-1}.Q_{j}^I?\mbox{quo}$}}
\put(30,55){\makebox(0,0)[b]{$P_i.P_{i-1}^O!\mbox{ini}$}}
\put(50,48){\makebox(0,0)[b]{$P_i.P_{i-1}^I?\mbox{ini}$}}
\put(70,55){\makebox(0,0)[b]{$Q_j.P_i^O!\mbox{chg}$}}
\put(90,48){\makebox(0,0)[b]{$Q_j.P_i^I?\mbox{chg}$}}
%
\end{picture}

\begin{picture}(160,160)(-10,-40)
%
\multiput(0,15)(0,20){6}{\vector(0,-1){10}}
\multiput(20,35)(0,20){4}{\vector(0,-1){10}}
\multiput(40,55)(0,20){3}{\vector(0,-1){10}}
\multiput(5,20)(0,20){5}{\vector(1,0){10}}
\multiput(25,40)(0,20){4}{\vector(1,0){10}}
%
\put(0,120){\makebox(0,0){$\cal{B}_{i,j - 1}$}}
%
\put(40,40){\makebox(0,0){$\cal{A}_{ij}$}}
\put(20,20){\makebox(0,0){$\cal{C}_{ij}$}}
\put(0,0){\makebox(0,0){$\cal{B}_{ij}$}}
%
\put(-7,110){\makebox(0,0)[r]{$Q_{j-1}.P_i^O!\mbox{quo}$}}
\put(-7,90){\makebox(0,0)[r]{$Q_{j-1}.P_i^I?\mbox{quo}$}}
\put(-7,70){\makebox(0,0)[r]{$Q_j.Q_{j-1}^O!\mbox{ini}$}}
\put(-7,50){\makebox(0,0)[r]{$Q_j.Q_{j-1}^I?\mbox{ini}$}}
\put(-7,30){\makebox(0,0)[r]{$P_i.Q_j^O!\mbox{chg}$}}
\put(-7,10){\makebox(0,0)[r]{$P_i.Q_j^I?\mbox{chg}$}}
%
\put(10,135){\makebox(0,0)[b]{$Q_j.P_i^O!\mbox{chg}$}}
\put(30,128){\makebox(0,0)[b]{$Q_j.P_i^I?\mbox{chg}$}}
%
\end{picture}

\end{document}
