diff --git a/docs/pdf/background.tex b/docs/pdf/background.tex index 072019fc..5e23a6db 100644 --- a/docs/pdf/background.tex +++ b/docs/pdf/background.tex @@ -1,4 +1,6 @@ \section{Multi-level Domain Decomposition Background\label{sec:background}} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:background} Background}} \emph{Domain Decomposition} (DD) preconditioners, coupled with Krylov iterative solvers, are widely used in the parallel solution of large and sparse linear systems. @@ -56,12 +58,12 @@ interpolation \cite{StubenGMD69_99}. MLD2P4 uses a pure algebraic approach for building the sequence of coarse matrices starting from the original matrix. The algebraic approach is based on the \emph{smoothed -aggregation} algorithm \cite{Brezina_Vanek_,Vanek_Mandel_Brezina_}. A decoupled version +aggregation} algorithm \cite{BREZINA_VANEK,VANEK_MANDEL_BREZINA}. A decoupled version of this algorithm is implemented, where the smoothed aggregation is applied locally -to each submatrix \cite{Tuminaro_Tong_00}. In the next two subsections we provide +to each submatrix \cite{TUMINARO_TONG}. In the next two subsections we provide a brief description of the multi-level Schwarz preconditioners and on the smoothed aggregation technique as implemented in MLD2P4. For further details the user -is referred to \cite{para_04,apnum_07,aaecc_07,dd2_96}. +is referred to \cite{para_04,aaecc_07,apnum_07,dd2_96}. \subsection{Multi-level Schwarz Preconditioners\label{sec:multilevel}} @@ -112,7 +114,7 @@ three steps: A variant of the classical AS preconditioner that outperforms it in terms of both convergence rate and of computation and communication time on parallel distributed-memory computers is the so-called \emph{Restricted AS -(RAS)} preconditioner~\cite{Cai_Sarkis,Efstathiou_Gander}. It +(RAS)} preconditioner~\cite{CAI_SARKIS,EFSTATHIOU}. It is obtained by zeroing the components of $w_i$ corresponding to the overlapping vertices when applying the prolongation. Therefore, RAS differs from classical AS by the prolongation operators, @@ -209,20 +211,63 @@ coarse-level system. The corresponding preconditioners are called \emph{multi-le One more reason for the multi-level approach is that it may significantly reduce the computational cost of preconditioning with respect to the two-level case (see \cite[Chapter 3]{dd2_96}). Additive and hybrid multilevel preconditioners -are obtained as direct extensions of the two-level counterparts. Other combinations -of the smoothers and coarse-level corrections are possible, leading to variants +are obtained as direct extensions of the two-level counterparts. +The algorithm for applying a multi-level version of the two-level hybrid +post-smoothed preconditioner is reported in Figure~\ref{fig:mlhpost_alg}. +Other combinations of the smoothers and coarse-level corrections are possible, leading to variants of the previous algorithms. For a detailed descrition of them, the reader is referred to \cite[Chapter 3]{dd2_96}. -\textbf{DESCRIZIONE ALGORITMICA, a titolo di esempio, -di un precondizionatore multilevel, ad esempio quello ibrido con pre- o post-smoothing, -sul tipo della descrizione in figura 1 della guida di Trilinos ML 4.0.} +% +\begin{figure}[t] +\begin{center} +\framebox{ +\begin{minipage}{.85\textwidth} {\small +\begin{tabbing} +\quad \=\quad \=\quad \=\quad \\[-1mm] +! assigned the finest matrix\\ +$A_1 \leftarrow A$;\\[1mm] +! defined the number of levels $nlev$ \\[1mm] +! defined $nlev-1$ prolongators\\ +$R_l^T, l=2, \ldots, nlev$;\\[1mm] +! defined $nlev-1$ coarser matrices\\ +$A_l \leftarrow R_lA_{l-1}R_l^T, \; l=2, \ldots, nlev$;\\[1mm] +! defined the $nlev-1$ basic Schwarz preconditioners\\ +$M_l$, basic preconditioner for $A_l \; l=1, \ldots, nlev-1$;\\[1mm] +! assigned a vector $v$\\ +$v_1 \leftarrow v$; \\[2mm] +\textbf{for $l=2, nlev$ do}\\[1mm] +\> ! transfer $v_{l-1}$ to the next coarser level\\ +\> $v_l \leftarrow R_lv_{l-1}$; \\[1mm] +\textbf{endfor} \\[2mm] +! apply the coarsest-level correction\\[1mm] +$y_{nlev} \leftarrow A_{nlev}^{-1}*v_{nlev}$;\\[2mm] +\textbf{for $l=nlev -1 , 1, -1$ do}\\[1mm] +\> ! transfer $y_{l+1}$ to the next finer level\\ +\> $y_l \leftarrow R_{l+1}^T*y_{l+1}$;\\[1mm] +\> ! compute the residual at the current level\\ +\> $r_l \leftarrow v_l-A_l^{-1}*y_l$;\\[1mm] +\> ! apply the basic Schwarz preconditioner to $r_l$\\ +\> $r_l \leftarrow M_l^{-1}*r_l$\\[1mm] +\> ! update $y_l$\\ +\> $y_l \leftarrow y_l+r_l$\\ +\textbf{endfor} \\[1mm] +! preconditioned vector +$w \leftarrow y_1$; +\end{tabbing} +} +\end{minipage} +} +\caption{Multi-level hybrid post-smoothed preconditioner.\label{fig:mlhpost_alg}} +\end{center} +\end{figure} +% \subsection{Smoothed Aggregation\label{sec:aggregation}} To define the restriction operator $R_C$, which is used to compute the coarse-level matrix $A_C$, MLD2P4 uses the \emph{smoothed aggregation} -algorithm described in \cite{Brezina_Vanek_,Vanek_Mandel_Brezina_}. +algorithm described in \cite{BREZINA_VANEK,VANEK_MANDEL_BREZINA}. The basic idea of this algorithm is to build a coarse set of vertices $W_C$ by suitably grouping the vertices of $W$ into disjoint subsets (aggregates), and to define the coarse-to-fine space transfer operator $R_C^T$ by @@ -238,7 +283,7 @@ Three main steps can be identified in the smoothed aggregation procedure: %\textbf{NOTA: Controllare cosa fa trilinos dopo il primo passo.} To perform the coarsening step, we have implemented the aggregation algorithm sketched -in \cite{apnum_07}. According to \cite{brezina_vanek}, a modification of this algorithm +in \cite{apnum_07}. According to \cite{BREZINA_VANEK}, a modification of this algorithm has been actually considered, in which each aggregate $N_r$ is made of vertices of $W$ that are \emph{strongly coupled} to a certain root vertex $r \in W$, i.e.\ @@ -256,7 +301,7 @@ i.e.\ near vertices adjacent to vertices in other processors, and is strongly dependent on the number of processors and on the initial partitioning of the matrix $A$. Nevertheless, this algorithm has been chosen for the implementation in MLD2P4, since it has been shown to produce good results in practice -\cite{Tuminaro_Tong_00,apnum_07,aaecc_07}. +\cite{aaecc_07,apnum_07,TUMINARO_TONG}. The prolongator $P_C=R_C^T$ is built starting from a \emph{tentative prolongator} $P \in \Re^{n \times n_C}$, defined as @@ -276,14 +321,14 @@ P_C = S P, \end{equation} in order to remove oscillatory components from the range of the prolongator and hence to improve the convergence properties of the multi-level -Schwarz method \cite{Brezina_Vanek_,StubenGMD69_99}. +Schwarz method \cite{BREZINA_VANEK,StubenGMD69_99}. A simple choice for $S$ is the damped Jacobi smoother: \begin{equation} S = I - \omega D^{-1} A , \label{eq:jac_smoother} \end{equation} where the value of $\omega$ can be chosen -using some estimate of the spectral radius of $D^{-1}A$ \cite{Brezina_Vanek}. +using some estimate of the spectral radius of $D^{-1}A$ \cite{BREZINA_VANEK}. % %\textbf{NOTA: filtering di $A$ nello smoothing, da implementare?} % diff --git a/docs/pdf/bibliography.tex b/docs/pdf/bibliography.tex index ecc6e8ee..9599bdb9 100644 --- a/docs/pdf/bibliography.tex +++ b/docs/pdf/bibliography.tex @@ -1,25 +1,41 @@ -\begin{thebibliography}{99} +\section{Bibliography\label{sec:bib}} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:bib} Bibliography}} +\let\refname\relax +\begin{thebibliography}{99} +% +%\bibitem{PARA04FOREST} +%G.~Bella, S.~Filippone, A.~De Maio, A., Testa, M.: +%A Simulation Model for Forest Fires. +%In: Dongarra, J., Madsen, K., Wasniewski, J. (eds.): +%Proceedings of PARA~04 Workshop on State of the Art +%in Scientific Computing. Lecture Notes in Computer Science, 3732. Berlin: +%Springer, 2005 +% +\bibitem{BREZINA_VANEK} +M.~Brezina, P.~Van{\v e}k, +{\em A Black-Box Iterative Solver Based on a Two-Level Schwarz Method}, +Computing, 63, 1999, 233--263. % -\bibitem{PARA04FOREST} -Bella, G., Filippone, S., De Maio, A., Testa, M.: -A Simulation Model for Forest Fires. -In: Dongarra, J., Madsen, K., Wasniewski, J. (eds.): +\bibitem{para_04} +A.~Buttari, P.~D'Ambra, D.~di Serafino, S.~Filippone, +{\em Extending PSBLAS to Build Parallel Schwarz Preconditioners}, +in , J.~Dongarra, K.~Madsen, J.~Wasniewski, editors, Proceedings of PARA~04 Workshop on State of the Art -in Scientific Computing. Lecture Notes in Computer Science, 3732. Berlin: -Springer, 2005 +in Scientific Computing, Lecture Notes in Computer Science, +Springer, 2005, 593--602. % -\bibitem{aaecc_07} A. Buttari, D. di Serafino, P. D'Ambra, S. Filippone,\newblock -2LEV-D2P4: a package of high-performance preconditioners,\newblock +\bibitem{aaecc_07} A.~Buttari, P.~D'Ambra, D.~di~Serafino, S.~Filippone, +{\em 2LEV-D2P4: a package of high-performance preconditioners}, Applicable Algebra in Engineering, Communications and Computing, -Volume 18, Number 3, May, 2007, pp. 223-239 +18, 3, May, 2007, 223--239. %Published online: 13 February 2007, {\tt http://dx.doi.org/10.1007/s00200-007-0035-z} % -\bibitem{apnum_07} P. D'Ambra, S. Filippone, D. Di Serafino\newblock -On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners -\newblock +\bibitem{apnum_07} P.~D'Ambra, S.~Filippone, D.~Di~Serafino, +{\em On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners}, Applied Numerical Mathematics, Elsevier Science, -Volume 57, Issues 11-12, November-December 2007, Pages 1181-1196. +57, 11-12, 2007, 1181-1196. %published online 3 February 2007, {\tt % http://dx.doi.org/10.1016/j.apnum.2007.01.006} @@ -30,118 +46,127 @@ Volume 57, Issues 11-12, November-December 2007, Pages 1181-1196. %% (See also {\tt http://www.mgnet.org/~douglas/ccd-codes.html}) % % -\bibitem{para_04} -A.~Buttari, P.~D'Ambra, D.~di Serafino and S.~Filippone, -{\em Extending PSBLAS to Build Parallel Schwarz Preconditioners}, -in , J.~Dongarra, K.~Madsen, J.~Wasniewski, editors, -Proceedings of PARA~04 Workshop on State of the Art -in Scientific Computing, pp.~593--602, Lecture Notes in Computer Science, -Springer, 2005. -% %% \bibitem{CAI_SAAD} %% X.~C.~Cai and Y.~Saad, %% {\em Overlapping Domain Decomposition Algorithms for General Sparse Matrices}, %% Numerical Linear Algebra with Applications, 3(3), pp.~221--237, 1996. -%% % -%% \bibitem{CAI_SARKIS} -%% X.C.~Cai and M.~Sarkis, -%% {\em A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems}, -%% SIAM Journal on Scientific Computing, 21(2), pp.~792--797, 1999. +% +\bibitem{CAI_SARKIS} +X.~C.~Cai, M.~Sarkis, +{\em A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems}, +SIAM Journal on Scientific Computing, 21, 2, 1999, 792--797. % \bibitem{Cai_Widlund_92} -X.C.~Cai and O.~B.~Widlund, +X.~C.~Cai, O.~B.~Widlund, {\em Domain Decomposition Algorithms for Indefinite Elliptic Problems}, -SIAM Journal on Scientific and Statistical Computing, 13(1), pp.~243--258, 1992. +SIAM Journal on Scientific and Statistical Computing, 13, 1, 1992, 243--258. % \bibitem{dd1_94} T.~Chan and T.~Mathew, {\em Domain Decomposition Algorithms}, -in A.~Iserles, editor, Acta Numerica 1994, pp.~61--143, 1994. +in A.~Iserles, editor, Acta Numerica 1994, 61--143. Cambridge University Press. -%% % -%% \bibitem{UMFPACK} -%% T.A.~Davis, -%% {\em Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal -%% Method with a Column Pre-ordering Strategy}, -%% ACM Transactions on Mathematical Software, 30, pp.~196--199, 2004. -%% (See also {\tt http://www.cise.ufl.edu/~davis/}) -%% % -%% \bibitem{SUPERLU} -%% J.W.~Demmel, S.C.~Eisenstat, J.R.~Gilbert, X.S.~Li and J.W.H.~Liu, -%% A supernodal approach to sparse partial pivoting, -%% SIAM Journal on Matrix Analysis and Applications, 20(3), pp.~720--755, 1999. -% -\bibitem{BLACS} -J.~J.~Dongarra and R.~C.~Whaley, -{\em A User's Guide to the BLACS v.~1.1}, -Lapack Working Note 94, Tech.\ Rep.\ UT-CS-95-281, University of -Tennessee, March 1995 (updated May 1997). -% -\bibitem{sblas_97} -I.~Duff, M.~Marrone, G.~Radicati and C.~Vittoli, -{\em Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: -a User Level Interface}, -ACM Transactions on Mathematical Software, 23(3), pp.~379--401, 1997. -% -\bibitem{sblas_02} -I.~Duff, M.~Heroux and R.~Pozo, -{\em An Overview of the Sparse Basic Linear -Algebra Subprograms: the New Standard from the BLAS Technical Forum}, -ACM Transactions on Mathematical Software, 28(2), pp.~239--267, 2002. +% +\bibitem{UMFPACK} +T.A.~Davis, +{\em Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal +Method with a Column Pre-ordering Strategy}, +ACM Transactions on Mathematical Software, 30, 2004, 196--199. +(See also {\tt http://www.cise.ufl.edu/~davis/}) +% +\bibitem{SUPERLU} +J.W.~Demmel, S.C.~Eisenstat, J.R.~Gilbert, X.S.~Li and J.W.H.~Liu, +A supernodal approach to sparse partial pivoting, +SIAM Journal on Matrix Analysis and Applications, 20, 3, 1999, 720--755. +% +%\bibitem{BLACS} +%J.~J.~Dongarra and R.~C.~Whaley, +%{\em A User's Guide to the BLACS v.~1.1}, +%Lapack Working Note 94, Tech.\ Rep.\ UT-CS-95-281, University of +%Tennessee, March 1995 (updated May 1997). +% +%\bibitem{sblas_97} +%I.~Duff, M.~Marrone, G.~Radicati and C.~Vittoli, +%{\em Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: +%a User Level Interface}, +%ACM Transactions on Mathematical Software, 23(3), pp.~379--401, 1997. +% +%\bibitem{sblas_02} +%I.~Duff, M.~Heroux and R.~Pozo, +%{\em An Overview of the Sparse Basic Linear +%Algebra Subprograms: the New Standard from the BLAS Technical Forum}, +%ACM Transactions on Mathematical Software, 28(2), pp.~239--267, 2002. +% +\bibitem{EFSTATHIOU} +E.~Efstathiou, J.~G.~Gander, +{\em Why Restricted Additive Schwarz Converges Faster than Additive Schwarz}, +BIT Numerical Mathematics, 43, 2003, 945--959. +% +\bibitem{PSBLASGUIDE} +S.~Filippone, A.~Buttari, +{\em PSBLAS-2.1 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library}, +xxxxx. % \bibitem{psblas_00} -S.~Filippone and M.~Colajanni, +S.~Filippone, M.~Colajanni, {\em PSBLAS: A Library for Parallel Linear Algebra Computation on Sparse Matrices}, -\newblock -ACM Transactions on Mathematical Software, 26(4), pp.~527--550, 2000. -% -\bibitem{KIVA3PSBLAS} -S.~Filippone, P.~D'Ambra, M.~Colajanni, -{\em Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics -Applications Code on Linux Clusters}, -in G.~Joubert, A.~Murli, F.~Peters, M.~Vanneschi, editors, -Parallel Computing - Advances \& Current Issues, -pp.~441--448, Imperial College Press, 2002. -% -\bibitem{METIS} -Karypis, G. and Kumar, V., -{\em {METIS}: Unstructured Graph Partitioning and Sparse Matrix - Ordering System}. -Minneapolis, MN 55455: University of Minnesota, Department of - Computer Science, 1995. -Internet Address: {\verb|http://www.cs.umn.edu/~karypis|}. -\bibitem{BLAS1} -Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., - Basic {L}inear {A}lgebra {S}ubprograms for {F}ortran usage, -{ACM Trans. Math. Softw.} vol.~{5}, 38--329, 1979. - -\bibitem{machiels} -{Machiels, L. and Deville, M.} -{\em Fortran 90: An entry to object-oriented programming for the solution - of partial differential equations.} -{ACM Trans. Math. Softw.} vol.~{23}, 32--49. -\bibitem{metcalf} -{Metcalf, M., Reid, J. and Cohen, M.} -{\em Fortran 95/2003 explained.} -{Oxford University Press}, 2004. - +ACM Transactions on Mathematical Software, 26, 4, 2000, 527--550. +\bibitem{SUPERLUDIST} +X.~S.~Li, J.~W.~Demmel, {\em SuperLU\_DIST: A Scalable Distributed-memory Sparse Direct Solver for Unsymmetric Linear Systems}, +ACM Transactions on Mathematical Software, 29, 2, 2003, 110--140. +% +%\bibitem{KIVA3PSBLAS} +%S.~Filippone, P.~D'Ambra, M.~Colajanni, +%{\em Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics +%Applications Code on Linux Clusters}, +%in G.~Joubert, A.~Murli, F.~Peters, M.~Vanneschi, editors, +%Parallel Computing - Advances \& Current Issues, +%pp.~441--448, Imperial College Press, 2002. +% +%\bibitem{METIS} +%Karypis, G. and Kumar, V., +%{\em {METIS}: Unstructured Graph Partitioning and Sparse Matrix +% Ordering System}. +%Minneapolis, MN 55455: University of Minnesota, Department of +% Computer Science, 1995. +%Internet Address: {\verb|http://www.cs.umn.edu/~karypis|}. +%\bibitem{BLAS1} +%Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., +% Basic {L}inear {A}lgebra {S}ubprograms for {F}ortran usage, +%{ACM Trans. Math. Softw.} vol.~{5}, 38--329, 1979. +% +%\bibitem{machiels} +%{Machiels, L. and Deville, M.} +%{\em Fortran 90: An entry to object-oriented programming for the solution +% of partial differential equations.} +%{ACM Trans. Math. Softw.} vol.~{23}, 32--49. +%\bibitem{metcalf} +%{Metcalf, M., Reid, J. and Cohen, M.} +%{\em Fortran 95/2003 explained.} +%{Oxford University Press}, 2004. +% \bibitem{dd2_96} -B.~Smith, P.~Bjorstad and W.~Gropp, +B.~Smith, P.~Bjorstad, W.~Gropp, {\em Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations}, Cambridge University Press, 1996. - +% \bibitem{MPI1} -M.~Snir, S.~Otto, S.~Huss-Lederman, D.~Walker and J.~Dongarra, +M.~Snir, S.~Otto, S.~Huss-Lederman, D.~Walker, J.~Dongarra, {\em MPI: The Complete Reference. Volume 1 - The MPI Core}, second edition, MIT Press, 1998. % -\bibitem{BREZINA_VANEK} -M.~Brezina and P.~Van{\v e}k, -{\em A Black-Box Iterative Solver Based on a Two-Level Schwarz Method}, -Computing, 1999, 63, 233-263. +\bibitem{StubenGMD69_99} +K.~St\"{u}ben, +{\em Algebraic Multigrid (AMG): an Introduction with Applications}, +in A.~Sch\"{u}ller, U.~Trottenberg, C.~Oosterlee, editors, Multigrid, +Academic Press, 2000. % +\bibitem{TUMINARO_TONG} +R.~S.~Tuminaro, C.~Tong, +{\em Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines}, +in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000. % \bibitem{VANEK_MANDEL_BREZINA} P.~Van{\v e}k, J.~Mandel and M.~Brezina, @@ -149,4 +174,4 @@ P.~Van{\v e}k, J.~Mandel and M.~Brezina, Computing, 1996, 56, 179-196. % -\end{thebibliography} \ No newline at end of file +\end{thebibliography} diff --git a/docs/pdf/building.tex b/docs/pdf/building.tex index 22af9d95..6b28bf2f 100644 --- a/docs/pdf/building.tex +++ b/docs/pdf/building.tex @@ -1,4 +1,6 @@ \section{Configuring and Building MLD2P4\label{sec:configuring}} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:configuring} Configuring and Building}} - uso di GNU autoconf e automake \\ - software di base necessario (MPI, BLACS, BLAS, PSBLAS, UMFPACK ? - specificare versioni)\\ - software opzionale (SuperLU, SuperLUdist - specificare versioni e opzioni di configure)\\ diff --git a/docs/pdf/conventions.tex b/docs/pdf/conventions.tex index fb727ff7..2f59b148 100644 --- a/docs/pdf/conventions.tex +++ b/docs/pdf/conventions.tex @@ -1,4 +1,7 @@ \section{Notational Conventions\label{sec:conventions}} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:conventions} Notational conventions}} + - caratteri tipografici usati nella guida (vedi guida ML recente e guida Aztec) \\ - convenzioni sui nomi di routine (differenza nei nomi tra high-level e medium-level), strutture dati, moduli, costanti, etc. (vedi guida psblas) \\ diff --git a/docs/pdf/distribution.tex b/docs/pdf/distribution.tex index 75a22a02..f6cd18b8 100644 --- a/docs/pdf/distribution.tex +++ b/docs/pdf/distribution.tex @@ -1,4 +1,6 @@ -\section{Code Distribution\label{sec:distribution}} +\section{License\label{sec:distribution}} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:distribution} License}} The MLD2P4 is freely distributable under the following copyright terms: {\small diff --git a/docs/pdf/errors.tex b/docs/pdf/errors.tex index 5952557d..a427ca97 100644 --- a/docs/pdf/errors.tex +++ b/docs/pdf/errors.tex @@ -1,4 +1,6 @@ \section{Error Handling}\label{sec:errors} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:errors} Error handling}} Error handling - Breve descrizione con rinvio alla guida di PSBLAS diff --git a/docs/pdf/gettingstarted.tex b/docs/pdf/gettingstarted.tex index 67373b8e..79350a5e 100644 --- a/docs/pdf/gettingstarted.tex +++ b/docs/pdf/gettingstarted.tex @@ -1,7 +1,9 @@ \section{Getting Started\label{sec:started}} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:started} Getting started}} We describe the basics for building and applying MLD2P4 one-level and multi-level -Schwarz preconditioners with the Krylov solvers included in PSBLAS \cite{}. +Schwarz preconditioners with the Krylov solvers included in PSBLAS \cite{PSBLASGUIDE}. The following steps are required: \begin{enumerate} \item \emph{Declare the preconditioner data structure}. It is a derived data type, @@ -50,11 +52,12 @@ preconditioner has been chosen by taking into account that, on parallel machines, it often leads to the smallest execution time when applied to linear systems coming from finite-difference discretizations of basic elliptic PDE problems, considered as standard tests for multi-level Schwarz -preconditioners \cite{apnum_07,aaecc_07}. However, this solver does not correspond -to the smallest number of iterations of the preconditioned Krylov method, which is -usually obtained by applying a direct solver, e.g.\ based on the LU factorization, at -the coarsest level (see Section~\ref{sec:userinterface} for coarsest-level -solvers available in MLD2P4). +preconditioners \cite{aaecc_07,apnum_07}. However, this solver does +not necessarily to the smallest number of iterations of the +preconditioned Krylov method, which is usually obtained by applying a +direct solver, e.g.\ based on the LU factorization, on a matrix +replicated at the coarsest level (see Section~\ref{sec:userinterface} +for coarsest-level solvers available in MLD2P4). \begin{table}[th] { @@ -108,7 +111,7 @@ in the directory \textbf{XXXXXX (COMPLETARE. DIRE CHE I FILE IN REALTA' SONO DUE LA GENERAZIONE DELLA MATRICE ED UNO CON LA LETTURA).} Note that the modules \verb|psb_base_mod| and \verb|psb_util_mod| at the beginning of the code are required by PSBLAS. \textbf{O psb\_base\_mod} E' RICHIESTO ANCHE DA MLD2P4?) -For details on the use of the PSBLAS routines, see the PSBLAS User's Guide \cite{}. +For details on the use of the PSBLAS routines, see the PSBLAS User's Guide \cite{PSBLASGUIDE}. \textbf{LE FIGURE SONO DECENTRATE, NONOSTANTE IL CENTER. CI VUOLE UNA MINIPAGE?} @@ -178,7 +181,7 @@ the default values of the preconditioner parameters. The code reported in Figure~\ref{fig:ex_3lh} shows how to set a three-level hybrid Schwarz preconditioner, which uses block Jacobi with ILU(0) on the local blocks as post-smoother, a coarsest matrix replicated on the processors, -and the LU factorization from UMFPACK as coarse-level solver. +and the LU factorization from UMFPACK~\cite{UMFPACK}, version 4.4, as coarse-level solver. The number of levels is specified by using \verb|mld_precinit|; the other preconditioner parameters are set by calling \verb|mld_precset|. Note that the type of multilevel framework (i.e.\ multiplicative among the levels @@ -189,13 +192,14 @@ which applies RAS, with overlap 1 and ILU(0) on the blocks, as pre- and post-smoother, and five block-Jacobi sweeps, with the UMFPACK LU factorization on the blocks, as distributed coarsest-level solver. Again, \verb|mld_precset| is used only to set -non-default values of the parameters (see Tables~\ref{tab:ptype}-\ref{tab:pcoarse}). +non-default values of the parameters (see Tables~\ref{tab:p_type}-\ref{tab:p_coarse}). In both cases, the construction and the application of the preconditioner are carried out as for the default multi-level preconditioner. -The code fragments shown in in Figures~\ref{fig:ex_3lh}-\ref{fig:3la} are +The code fragments shown in in Figures~\ref{fig:ex_3lh}-\ref{fig:ex_3la} are included in the example program file \verb|example_ml.f90|. \textbf{LO STESSO PROGRAMMA CONTIENE I TRE ESEMPI, CON UN SWITCH TRA L'UNO E L'ALTRO -O FACCIAMO 3 PROGRAMMI DISTINTI? NON RICORDO CHE COSA ABBIAMO DECISO.} +O FACCIAMO 3 PROGRAMMI DISTINTI? NON RICORDO CHE COSA ABBIAMO DECISO. +PASQUA: ABBIAMO DETTO CHE ERA PREFERIBILE UN UNICO PROGRAMMA CON SWITCH.} Finally, Figure~\ref{fig:ex_1l} shows the setup of a one-level additive Schwarz preconditioner, i.e. RAS with overlap 2. The corresponding code, diff --git a/docs/pdf/highlevelview.tex b/docs/pdf/highlevelview.tex index 7bab0e38..3da97d6e 100644 --- a/docs/pdf/highlevelview.tex +++ b/docs/pdf/highlevelview.tex @@ -1,4 +1,6 @@ \section{User Interface\label{sec:highlevel}} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:overview} User Interface}} The basic user interface of MLD2P4 consists of six routines. The four routines \verb|mld_precinit|, \verb|mld_precset|, \verb|mld_precbld| and \verb|mld_precaply| encapsulate all the functionalities diff --git a/docs/pdf/intro.tex b/docs/pdf/intro.tex index f8db18b6..864ab263 100644 --- a/docs/pdf/intro.tex +++ b/docs/pdf/intro.tex @@ -1,4 +1,6 @@ \section{Introduction}\label{sec:intro} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:overview} Introduction}} The MLD2P4 library provides .... diff --git a/docs/pdf/methods.tex b/docs/pdf/methods.tex index 221ca03a..acb678fd 100644 --- a/docs/pdf/methods.tex +++ b/docs/pdf/methods.tex @@ -1,5 +1,7 @@ \section{Iterative Methods} \label{sec:methods} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:methods} Iterative Methods}} In this chapter we provide routines for preconditioners and iterative methods. The interfaces for Krylov subspace methods are available in diff --git a/docs/pdf/overview.tex b/docs/pdf/overview.tex index 743232cf..0425ca52 100644 --- a/docs/pdf/overview.tex +++ b/docs/pdf/overview.tex @@ -4,7 +4,7 @@ {\underline{\ref{sec:overview} General Overview}} The \textsc{Multi-Level Domain Decomposition Parallel Preconditioners Package based on -PSBLAS (MLD2P4}) provides \emph{multi-level Schwarz preconditioners}~\cite{DD2}, +PSBLAS (MLD2P4}) provides \emph{multi-level Schwarz preconditioners}~\cite{dd2_96}, to be used in the iterative solutions of sparse linear systems: \begin{equation} Ax=b, @@ -18,24 +18,25 @@ where $A$ is a square, real or complex, sparse matrix with a symmetric sparsity % These preconditioners have the following general features: \begin{itemize} -\item both \emph{additive and hybrid multilevel} variants, i.e.\ multiplicative among the levels -and additive inside a level, are implemented; the basic additive Schwarz preconditioners -are obtained by considering only one level; +\item both \emph{additive and hybrid multilevel} variants are implemented, +i.e.\ variants that are additive among the levels and inside each level, and variants +that are multiplicative among the levels and additive inside each level; the basic Additive Schwarz (AS) preconditioners are obtained by considering only one level; \item a \emph{purely algebraic} approach is used to -generate a sequence of coarse-level corrections to a basic preconditioner, without +generate a sequence of coarse-level corrections to a basic AS preconditioner, without explicitly using any information on the geometry of the original problem (e.g.\ the discretization of a PDE). The \emph{smoothed aggregation} technique is applied -as algebraic coarsening strategy~\cite{Vanek_Mandel_Brezina,Brezina_Vanek}. +as algebraic coarsening strategy~\cite{BREZINA_VANEK,VANEK_MANDEL_BREZINA}. \end{itemize} The package is written in \emph{Fortran~95}, following an \emph{object-oriented approach} -through the exploitation of features such as abstract data type creation, functional overloading and -dynamic memory management, while providing a smooth path towards the integration in -legacy application codes. The parallel implementation is based on a Single Program Multiple Data -(SPMD) paradigm for distributed-memory architectures. +through the exploitation of features such as abstract data type creation, functional +overloading and dynamic memory management, while providing a smooth path towards the integration in legacy application codes. +\textbf{NON MI PIACE QUESTO PERIODO, E' TROPPO LUNGO. RIUSCITE A SCRIVERLO MEGLIO?} +The parallel implementation is based +on a Single Program Multiple Data (SPMD) paradigm for distributed-memory architectures. Single and double precision implementations of MLD2P4 are available for both the real and the complex case, that can be used through a single interface. -\textbf{SALVATORE, funziona tutto?} + MLD2P4 has been designed to implement scalable and easy-to-use multilevel preconditioners in the context of the \emph{PSBLAS (Parallel Sparse BLAS) computational framework}~\cite{psblas_00}. @@ -67,7 +68,7 @@ by expert users to build new versions of multi-level Schwarz preconditioners. We provide here a description of the upper-layer routines, but not of the medium-layer ones. -This guide is organized as follows:\textbf{organizzazione della guida} +This guide is organized as follows: \textbf{ORGANIZZAZIONE DELLA GUIDA} %%% Local Variables: %%% mode: latex diff --git a/docs/pdf/precs.tex b/docs/pdf/precs.tex index 6166b796..510606cf 100644 --- a/docs/pdf/precs.tex +++ b/docs/pdf/precs.tex @@ -1,5 +1,7 @@ \section{Preconditioner routines} \label{sec:precs} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:precs} Preconditioners}} % \section{Preconditioners} \label{sec:psprecs} diff --git a/docs/pdf/userguide.tex b/docs/pdf/userguide.tex index 7485e946..4725534f 100644 --- a/docs/pdf/userguide.tex +++ b/docs/pdf/userguide.tex @@ -83,6 +83,7 @@ \newcommand{\precdata}{\hyperlink{precdata}{{\tt mld\_prec\_type}}} \newcommand{\descdata}{\hyperlink{descdata}{{\tt psb\_desc\_type}}} \newcommand{\spdata}{\hyperlink{spdata}{{\tt psb\_spmat\_type}}} +\newcommand{\Ref}[1]{\mbox{(\ref{#1})}} \begin{document} \include{title} @@ -111,7 +112,6 @@ \include{overview} \include{conventions} -\include{distribution} \include{building} \include{background} \include{gettingstarted} @@ -119,6 +119,9 @@ %\include{advanced} \include{errors} %\include{listofroutines} +\cleardoublepage +\appendix +\include{distribution} \cleardoublepage diff --git a/docs/pdf/userinterface.tex b/docs/pdf/userinterface.tex index 3afab284..c49a091b 100644 --- a/docs/pdf/userinterface.tex +++ b/docs/pdf/userinterface.tex @@ -1,4 +1,6 @@ \section{User Interface\label{sec:userinterface}} +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\underline{\ref{sec:userinterface} User Interface}} The basic user interface of MLD2P4 consists of six routines. The four routines \verb|mld_precinit|, \verb|mld_precset|, \verb|mld_precbld| and \verb|mld_precaply| encapsulate all the functionalities for the setup and application of any one-level and multi-level @@ -48,8 +50,7 @@ according to the preconditioner type chosen by the user. \subsubsection*{Arguments} \begin{tabular}{p{1.2cm}p{11.5cm}} -\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|. - \textbf{CONTROLLARE SE DEVE ESSERE INOUT O SOLO OUT} \\ +\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.\\ & The preconditioner data structure. Note that \emph{x} must be chosen according to the real/complex, single/double precision version of MLD2P4 under use.\\ @@ -147,10 +148,9 @@ ACCESSIBILE ALL'UTENTE.} MULTILEVEL.} \\ \verb|mld_smoother_pos_| & \verb|character(len=*)| & 'PRE' \ \ \ 'POST' \ \ \ 'TWOSIDE' - & 2,...,\verb|nlev| + & 'POST' & ``position'' of the smoother: pre-smoother, post-smoother, - pre-/post-smoother \textbf{PREFERISCO TWOSIDE A BOTH - PERCHE' E' DIVERSO DA TRILINOS} \\ + pre-/post-smoother \\ \hline \end{tabular} \end{center} @@ -168,31 +168,33 @@ ACCESSIBILE ALL'UTENTE.} \verb|mld_sub_ovr| & \verb|integer| & any number $\ge 0$ & 1 - & \textbf{CAMBIARE NOME PARAMETRO NEL SW} \\ -\verb|mld_sub_restr_| & - & - & - & \\ -\verb|mld_sub_prol_| & - & - & - & \\ -\verb|mld_sub_solve_| & - & - & - & \\ -\verb|mld_sub_fillin_| & - & - & - & \textbf{CAMBIARE NOME PARAMETRO NEL SW} \\ -\verb|mld_sub_thresh_| & - & - & - & \\ -\verb|mld_sub_ren_| & - & + & \textbf{CAMBIARE NOME PARAMETRO NEL SW} number of overlap in the basic Schwarz preconditioner \\ +\verb|mld_sub_restr_| & \verb|character(len=*)| + & 'HALO' \ \ \ 'NONE' + & 'HALO' + & type of restriction operator used in basic Schwarz preconditioner: 'HALO' for taking into account contributions from the overlap \\ +\verb|mld_sub_prol_| & \verb|character(len=*)| + & 'SUM' \ \ \ 'NONE' + & 'NONE' + & type of prolongator operator used in basic Schwarz preconditioner: 'NONE' for neglecting contributions from the overlap \\ +\verb|mld_sub_solve_| & \verb|character(len=*)| + & 'ILU' \ \ \ 'MILU' \ \ \ 'ILUT' \ \ \ 'UMF' \ \ \ 'SLU' + & 'UMF' + & available local solver: 'ILU' for incomplete LU, 'MILU' for modified incomplete LU, 'ILUT' +for incomplete LU with threshold, 'UMF' for complete LU using UMFPACK~\cite{UMFPACK} version 4.4, 'SLU' for complete LU using SuperLU~\cite{SUPERLU}, version 3.0 \\ +\verb|mld_sub_fillin_| & \verb|integer| + & any number $\ge 0$ + & 0 + & \textbf{CAMBIARE NOME PARAMETRO NEL SW} fill-in level for 'ILU', 'MILU' and 'ILUT' of local blocks\\ +\verb|mld_sub_thresh_| & \verb|real| + & any number $\ge 0.$ + & 0. + & drop tolerance for 'ILUT' +\textbf{NELLA DOCUMENTAZIONE INTERNA DELLA ROUTINE DI FATTORIZZAZIONE C'E' INTERO, CAMBIARE!}\\ +\verb|mld_sub_ren_| & \verb|character(len=*)| + & \textbf{MANCA COSTANTE STRINGA ASSOCIATA} & - & \textbf{MANCA COSTANTE STRINGA ASSOCIATA} \\ + & reordering algorithm for the local blocks \\ \hline \end{tabular} @@ -208,22 +210,23 @@ ACCESSIBILE ALL'UTENTE.} \verb|what| & \emph{data type} & \verb|val| & \emph{default} & \emph{comments} \\ \hline %\multicolumn{5}{|c|}{\emph{aggregation algorithm}} \\ \hline -\verb|mld_aggr_alg_| & - & - & - & \\ -\verb|mld_aggr_kind_| & - & - & - & \\ -\verb|mld_aggr_thresh_| & - & - & - & \\ -\verb|mld_aggr_eig_| & - & - & - & \textbf{MANCA STRINGA CORRISPONDENTE a mld\_max\_norm} \\ +\verb|mld_aggr_alg_| & \verb|character(len=*)| + & 'DEC' + & 'DEC' + & define the aggregation scheme. Now, only decoupled aggregation is available\\ +\verb|mld_aggr_kind_| & \verb|character(len=*)| + & 'SMOOTH', 'RAW' + & 'SMOOTH' + & define the type of aggregation technique (smoothed or nonsmoothed). \\ +\verb|mld_aggr_thresh_| & \verb|real| + & any number $\in [0, 1]$ + & 0. + & dropping threshold in aggregation \\ +\verb|mld_aggr_eig_| & \verb|character(len=*)| + & \textbf{MANCA STRINGA CORRISPONDENTE a mld\_max\_norm} + & 'ANORM'??? + & define the algorithm to evaluate the maximum eigenvalue of $D^{-1}A$ for smoothed +aggregation. Now, only the A-norm of the matrix is available\\ \hline \end{tabular} \end{center} @@ -238,30 +241,32 @@ ACCESSIBILE ALL'UTENTE.} \verb|what| & \emph{data type} & \verb|val| & \emph{default} & \emph{comments} \\ \hline %\multicolumn{5}{|c|}{\emph{coarse-space correction at the coarsest level}}\\ \hline -\verb|mld_coarse_mat_| & - & - & - & \\ -\verb|mld_coarse_solve_| & - & - & - & \textbf{VEDI OSSERVAZIONI EMAIL 15-16/06/08}\\ -\verb|mld_coarse_subsolve_| & - & - & - & \textbf{VEDI OSSERVAZIONI EMAIL 15-16/06/08}\\ -\verb|mld_coarse_sweeps_|& - & - & - & \\ -\verb|mld_coarse_fillin_| & - & - & - & \textbf{MODIFICA NOME PARAM. NEL SW} \\ -\verb|mld_coarse_thresh_| & - & - & - & \\ \hline +\verb|mld_coarse_mat_| & \verb|character(len=*)| + & 'DISTR', 'REPL' + & 'DISTR' + & Coarse matrix: distributed or replicated \\ +\verb|mld_coarse_solve_| & \verb|character(len=*)| + & 'BJAC' \ \ \ 'UMF' \ \ \ 'SLUDIST' + & 'BJAC' + & \textbf{VEDI OSSERVAZIONI EMAIL 15-16/06/08} available solver for coarse system. +Only 'BJAC' and 'SLUDIST' can be used for distributed coarse matrix. 'BJAC' corresponds to some sweeps of a block-Jacobi solver, while 'SLUDIST' corresponds +to the use of the external package SuperLU\_Dist~\cite{SUPERLUDIST}, version 2.0, for distributed sparse factorization and solve. \\ +\verb|mld_coarse_subsolve_| & \verb|character(len=*)| + & 'ILU' \ \ \ 'MILU' \ \ \ 'ILUT' \ \ \ 'UMF' \ \ \ 'SLU' + & 'UMF' + & \textbf{VEDI OSSERVAZIONI EMAIL 15-16/06/08} available solver for diagonal local blocks of the coarse matrix, when 'BJAC' is used as coarse solver\\ +\verb|mld_coarse_sweeps_|& \verb|integer| + & any number $> 0$ + & 4 + & number of Block-Jacobi sweeps when 'BJAC' is used as coarse solver \\ +\verb|mld_coarse_fillin_| & \verb|integer| + & any number $\ge 0$ + & 0 + & fill-in level in incomplete factorization of local diagonal blocks of the coarse matrix, when 'BJAC' is used as coarse solver and 'ILU' or 'MILU' is used as local solver \textbf{MODIFICA NOME PARAM. NEL SW} \\ +\verb|mld_coarse_thresh_| & \verb|real| + & any number $\ge 0.$ + & 0. + & drop tolerance in incomplete factorization of local diagonal blocks of the coarse matrix, when 'BJAC' is used as coarse solver and 'ILUT' is used as local solver \\ \hline \end{tabular} \end{center} \caption{Parameters defining the coarse-space correction at the coarsest @@ -287,10 +292,10 @@ the user through the routines \verb|mld_precinit| and \verb|mld_precset|. & The sparse matrix structure containing the local part of the matrix to be preconditioned. Note that \emph{x} must be chosen according to the real/complex, single/double precision version of MLD2P4 under use. - See the PSBLAS User's Guide for details \cite{ }.\\ + See the PSBLAS User's Guide for details \cite{PSBLASGUIDE}.\\ \verb|desc_a| & \verb|type(psb_desc_type), intent(in)|. \\ & The communication descriptor of a. See the PSBLAS User's Guide for - details \cite{ }.\\ + details \cite{PSBLASGUIDE}.\\ \verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.\\ & The preconditioner data structure. Note that \emph{x} must be chosen according to the real/complex, single/double precision version of MLD2P4 under use.\\ diff --git a/docs/userguide.pdf b/docs/userguide.pdf index d81b7a30..3804ee4f 100644 --- a/docs/userguide.pdf +++ b/docs/userguide.pdf @@ -21,78 +21,84 @@ endobj << /S /GoTo /D (section.3) >> endobj 20 0 obj -(3 Code Distribution) +(3 Configuring and Building MLD2P4) endobj 21 0 obj << /S /GoTo /D (section.4) >> endobj 24 0 obj -(4 Configuring and Building MLD2P4) +(4 Getting Started) endobj 25 0 obj -<< /S /GoTo /D (section.5) >> +<< /S /GoTo /D (subsection.4.1) >> endobj 28 0 obj -(5 Getting Started) +(4.1 Examples) endobj 29 0 obj -<< /S /GoTo /D (subsection.5.1) >> +<< /S /GoTo /D (section.5) >> endobj 32 0 obj -(5.1 Examples) +(5 User Interface) endobj 33 0 obj -<< /S /GoTo /D (section.6) >> +<< /S /GoTo /D (subsection.5.1) >> endobj 36 0 obj -(6 User Interface) +(5.1 Subroutine mld\137precinit) endobj 37 0 obj -<< /S /GoTo /D (subsection.6.1) >> +<< /S /GoTo /D (subsection.5.2) >> endobj 40 0 obj -(6.1 Subroutine mld\137precinit) +(5.2 Subroutine mld\137precset) endobj 41 0 obj -<< /S /GoTo /D (subsection.6.2) >> +<< /S /GoTo /D (subsection.5.3) >> endobj 44 0 obj -(6.2 Subroutine mld\137precset) +(5.3 Subroutine mld\137precbld) endobj 45 0 obj -<< /S /GoTo /D (subsection.6.3) >> +<< /S /GoTo /D (subsection.5.4) >> endobj 48 0 obj -(6.3 Subroutine mld\137precbld) +(5.4 Subroutine mld\137precaply) endobj 49 0 obj -<< /S /GoTo /D (subsection.6.4) >> +<< /S /GoTo /D (subsection.5.5) >> endobj 52 0 obj -(6.4 Subroutine mld\137precaply) +(5.5 Subroutine mld\137precfree) endobj 53 0 obj -<< /S /GoTo /D (subsection.6.5) >> +<< /S /GoTo /D (subsection.5.6) >> endobj 56 0 obj -(6.5 Subroutine mld\137precfree) +(5.6 Subroutine mld\137precdescr) endobj 57 0 obj -<< /S /GoTo /D (subsection.6.6) >> +<< /S /GoTo /D (section.6) >> endobj 60 0 obj -(6.6 Subroutine mld\137precdescr) +(6 Error Handling) endobj 61 0 obj -<< /S /GoTo /D (section.7) >> +<< /S 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-545.5505 cm +1 0 0 1 -215.0252 -317.6828 cm BT -/F8 9.9626 Tf 149.7086 545.5505 Td[(a)]TJ/F19 9.9626 Tf 8.4053 0 Td[(pur)52(ely)-367(al)1(gebr)51(aic)]TJ/F8 9.9626 Tf 71.5505 0 Td[(app)1(roac)28(h)-344(i)1(s)-345(u)1(s)-1(ed)-343(to)-344(generate)-344(a)-344(se)-1(q)1(uence)-344(of)-344(coarse)-1(-lev)28(e)-1(l)]TJ -79.9558 -11.9552 Td[(correc)-1(ti)1(ons)-393(to)-393(a)-394(b)1(as)-1(i)1(c)-394(p)1(re)-1(cond)1(ition)1(e)-1(r)1(,)-408(with)1(out)-393(expli)1(c)-1(it)1(ly)-393(usin)1(g)-394(an)29(y)-393(inf)1(or-)]TJ 0 -11.9552 Td[(mation)-431(on)-431(the)-432(geom)-1(etry)-431(of)-431(the)-432(ori)1(ginal)-431(pr)1(oblem)-432(\050e)-1(.)1(g.)-432(th)1(e)-432(disc)-1(r)1(e)-1(ti)1(z)-1(ation)]TJ 0 -11.9551 Td[(of)-444(a)-444(P)1(DE\051.)-444(The)]TJ/F19 9.9626 Tf 75.6773 0 Td[(smo)51(othe)51(d)-460(aggr)52(e)51(gat)-1(i)1(on)]TJ/F8 9.9626 Tf 97.988 0 Td[(tec)27(hn)1(iqu)1(e)-445(is)-444(app)1(lied)-444(as)-445(al)1(ge)-1(b)1(raic)]TJ -173.6653 -11.9552 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0 -11.9552 Td[(with)-258(th)1(e)-1(se)-259(Kryl)1(o)27(v)-258(solv)28(e)-1(r)1(s)-1(.)-419(The)-259(c)27(h)1(oice)-259(of)-259(P)1(SBLAS)-258(has)-259(b)-27(ee)-1(n)-258(mainl)1(y)-259(motiv)56(ated)-259(b)29(y)]TJ 0 -11.9551 Td[(th)1(e)-282(n)1(e)-1(ed)-281(of)-280(ha)28(vi)1(ng)-281(a)-281(p)-27(ort)1(able)-281(and)-280(e\016)-1(cien)28(t)-281(soft)28(w)27(ar)1(e)-281(inf)1(rastructu)1(re)-281(im)-1(p)1(lem)-1(en)28(tin)1(g)]TJ 0 -11.9552 Td[(\134de)-348(f)1(ac)-1(to")-348(stand)1(ard)-347(paral)1(le)-1(l)-347(s)-1(p)1(arse)-349(l)1(inear)-348(algebr)1(a)-348(k)28(e)-1(r)1(nels)-1(,)-351(to)-348(p)1(ur)1(s)-1(u)1(e)-349(goals)-348(suc)27(h)]TJ 0 -11.9552 Td[(as)-384(p)-27(e)-1(rf)1(ormance)-1(,)-396(p)-27(ort)1(abili)1(t)28(y)83(,)-396(mo)-28(du)1(lari)1(t)28(y)-384(ed)-383(e)-1(xtensib)1(ilit)28(y)-383(in)-383(the)-384(d)1(e)-1(v)28(elop)1(m)-1(en)28(t)-384(of)]TJ 0 -11.9551 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Td[(,)-427(wh)1(ic)27(h)-407(als)-1(o)-408(se)-1(ts)-408(defau)1(lts)-409(f)1(or)-408(eac)27(h)-408(p)1(rec)-1(on)1(diti)1(oner)-408(t)28(yp)-27(e)-409(se)-1(-)]TJ -62.7641 -11.9552 Td[(lec)-1(ted)-409(b)28(y)-409(the)-409(use)-1(r.)-672(T)-1(h)1(e)-410(defau)1(lts)-410(ass)-1(o)-27(c)-1(iated)-409(to)-409(e)-1(ac)27(h)-409(p)1(rec)-1(on)1(dit)1(ioner)-409(t)27(y)1(p)-28(e)]TJ 0 -11.9552 Td[(are)-329(listed)-329(in)-328(T)83(ab)1(le)]TJ +/F19 9.9626 Tf 149.7086 560.7712 Td[(A)25(l)-50(lo)51(c)51(ate)-473(and)-473(initi)1(a)-1(l)1(ize)-472(t)-1(he)-472(p)-1(r)52(e)51(c)51(onditioner)-473(data)-473(stru)1(ctur)51(e,)-501(ac)51(c)51(or)52(ding)-473(to)-473(a)]TJ 0 -11.9552 Td[(pr)51(e)51(c)52(o)-1(nditi)1(o)-1(ner)-378(ty)1(p)51(e)-379(chosen)-378(by)-378(the)-379(u)1(ser)]TJ/F8 9.9626 Tf 167.3991 0 Td[(.)-511(Thi)1(s)-356(is)-356(p)-28(erf)1(orme)-1(d)-355(b)28(y)-355(th)1(e)-356(routi)1(ne)]TJ/F39 9.9626 Tf -167.3991 -11.9551 Td[(mld_precinit)]TJ/F8 9.9626 Tf 62.7641 0 Td[(,)-427(wh)1(ic)27(h)-407(als)-1(o)-408(se)-1(ts)-408(defau)1(lts)-409(f)1(or)-408(eac)27(h)-408(p)1(rec)-1(on)1(diti)1(oner)-408(t)28(yp)-27(e)-409(se)-1(-)]TJ -62.7641 -11.9552 Td[(lec)-1(ted)-409(b)28(y)-409(the)-409(use)-1(r.)-672(T)-1(h)1(e)-410(defau)1(lts)-410(ass)-1(o)-27(c)-1(iated)-409(to)-409(e)-1(ac)27(h)-409(p)1(rec)-1(on)1(dit)1(ioner)-409(t)27(y)1(p)-28(e)]TJ 0 -11.9552 Td[(are)-329(listed)-329(in)-328(T)83(ab)1(le)]TJ ET 1 0 0 1 231.8053 512.9505 cm 0 0 1 rg 0 0 1 RG @@ -1180,7 +1219,7 @@ ET 0 g 0 G 1 0 0 1 -236.7867 -512.9505 cm BT -/F8 9.9626 Tf 236.7867 512.9505 Td[(,)-330(wh)1(e)-1(r)1(e)-330(th)1(e)-329(s)-1(tri)1(ngs)-329(use)-1(d)-328(b)28(y)]TJ/F40 9.9626 Tf 120.6218 0 Td[(mld_precinit)]TJ/F8 9.9626 Tf 66.0404 0 Td[(to)-329(id)1(e)-1(n)29(tify)]TJ -273.7403 -11.9552 Td[(th)1(e)-334(pr)1(e)-1(cond)1(ition)1(e)-1(r)-333(t)28(yp)-27(e)-1(s)-333(are)-334(also)-333(giv)28(e)-1(n)1(.)]TJ +/F8 9.9626 Tf 236.7867 512.9505 Td[(,)-330(wh)1(e)-1(r)1(e)-330(th)1(e)-329(s)-1(tri)1(ngs)-329(use)-1(d)-328(b)28(y)]TJ/F39 9.9626 Tf 120.6218 0 Td[(mld_precinit)]TJ/F8 9.9626 Tf 66.0404 0 Td[(to)-329(id)1(e)-1(n)29(tify)]TJ -273.7403 -11.9552 Td[(th)1(e)-334(pr)1(e)-1(cond)1(ition)1(e)-1(r)-333(t)28(yp)-27(e)-1(s)-333(are)-334(also)-333(giv)28(e)-1(n)1(.)]TJ ET 1 0 0 1 124.802 481.0701 cm 0 g 0 G @@ -1192,13 +1231,13 @@ ET 0 g 0 G 1 0 0 1 -144.7273 -481.0701 cm BT -/F19 9.9626 Tf 149.7086 481.0701 Td[(Mo)51(di)1(fy)-348(the)-349(s)1(ele)51(cte)51(d)-348(pr)51(e)51(c)51(onditioner)-348(typ)51(e,)-350(by)-347(p)-1(r)52(op)51(erl)1(y)-348(sett)-1(i)1(ng)-349(pr)52(e)51(c)51(ond)-1(i)1(tioner)]TJ 0 -11.9552 Td[(p)51(ar)51(ameter)1(s.)]TJ/F8 9.9626 Tf 54.8257 0 Td[(This)-330(i)1(s)-330(p)-28(erf)1(orme)-1(d)-329(b)28(y)-329(th)1(e)-330(rou)1(tine)]TJ/F40 9.9626 Tf 145.53 0 Td[(mld_precset)]TJ/F8 9.9626 Tf 57.5338 0 Td[(.)-443(This)-329(routi)1(ne)]TJ -257.8895 -11.9552 Td[(m)27(u)1(s)-1(t)-359(b)-27(e)-360(called)-359(only)-359(i)1(f)-359(the)-360(u)1(s)-1(er)-359(w)28(an)28(ts)-360(to)-359(mo)-28(dif)1(y)-359(the)-359(defaul)1(t)-360(v)56(alu)1(e)-1(s)-359(of)-359(the)]TJ 0 -11.9551 Td[(par)1(am)-1(eters)-486(as)-1(so)-28(ciate)-1(d)-485(to)-486(th)1(e)-487(sele)-1(cted)-486(p)1(re)-1(cond)1(ition)1(e)-1(r)-485(t)28(yp)-27(e)-1(,)-524(to)-485(obtain)-485(a)]TJ 0 -11.9552 Td[(v)56(arian)29(t)-298(of)-297(the)-298(p)1(rec)-1(on)1(dit)1(ioner.)-432(Examp)1(le)-1(s)-298(of)-297(u)1(s)-1(e)-298(of)]TJ/F40 9.9626 Tf 214.6846 0 Td[(mld_precset)]TJ/F8 9.9626 Tf 60.4984 0 Td[(is)-298(giv)28(en)-297(in)]TJ -275.183 -11.9552 Td[(Section)]TJ +/F19 9.9626 Tf 149.7086 481.0701 Td[(Mo)51(di)1(fy)-348(the)-349(s)1(ele)51(cte)51(d)-348(pr)51(e)51(c)51(onditioner)-348(typ)51(e,)-350(by)-347(p)-1(r)52(op)51(erl)1(y)-348(sett)-1(i)1(ng)-349(pr)52(e)51(c)51(ond)-1(i)1(tioner)]TJ 0 -11.9552 Td[(p)51(ar)51(ameter)1(s.)]TJ/F8 9.9626 Tf 54.8257 0 Td[(This)-330(i)1(s)-330(p)-28(erf)1(orme)-1(d)-329(b)28(y)-329(th)1(e)-330(rou)1(tine)]TJ/F39 9.9626 Tf 145.53 0 Td[(mld_precset)]TJ/F8 9.9626 Tf 57.5338 0 Td[(.)-443(This)-329(routi)1(ne)]TJ -257.8895 -11.9552 Td[(m)27(u)1(s)-1(t)-359(b)-27(e)-360(called)-359(only)-359(i)1(f)-359(the)-360(u)1(s)-1(er)-359(w)28(an)28(ts)-360(to)-359(mo)-28(dif)1(y)-359(the)-359(defaul)1(t)-360(v)56(alu)1(e)-1(s)-359(of)-359(the)]TJ 0 -11.9551 Td[(par)1(am)-1(eters)-486(as)-1(so)-28(ciate)-1(d)-485(to)-486(th)1(e)-487(sele)-1(cted)-486(p)1(re)-1(cond)1(ition)1(e)-1(r)-485(t)28(yp)-27(e)-1(,)-524(to)-485(obtain)-485(a)]TJ 0 -11.9552 Td[(v)56(arian)29(t)-298(of)-297(the)-298(p)1(rec)-1(on)1(dit)1(ioner.)-432(Examp)1(le)-1(s)-298(of)-297(u)1(s)-1(e)-298(of)]TJ/F39 9.9626 Tf 214.6846 0 Td[(mld_precset)]TJ/F8 9.9626 Tf 60.4984 0 Td[(is)-298(giv)28(en)-297(in)]TJ -275.183 -11.9552 Td[(Section)]TJ ET 1 0 0 1 184.4248 421.2942 cm 0 0 1 rg 0 0 1 RG 1 0 0 1 -184.4248 -421.2942 cm BT -/F8 9.9626 Tf 184.4248 421.2942 Td[(5.1)]TJ +/F8 9.9626 Tf 184.4248 421.2942 Td[(4.1)]TJ ET 1 0 0 1 197.1549 421.2942 cm 0 g 0 G @@ -1210,7 +1249,7 @@ ET 0 0 1 rg 0 0 1 RG 1 0 0 1 -365.1511 -409.3391 cm BT -/F8 9.9626 Tf 365.1511 409.3391 Td[(6)]TJ +/F8 9.9626 Tf 365.1511 409.3391 Td[(5)]TJ ET 1 0 0 1 370.1325 409.3391 cm 0 g 0 G @@ -1252,7 +1291,7 @@ ET 0 g 0 G 1 0 0 1 -144.7273 -389.4138 cm BT -/F19 9.9626 Tf 149.7086 389.4138 Td[(Bui)1(ld)-475(the)-476(pr)52(e)51(c)51(onditioner)-475(for)-475(a)-475(given)-475(matrix.)]TJ/F8 9.9626 Tf 205.6236 0 Td[(This)-461(is)-461(p)-27(e)-1(rf)1(orme)-1(d)-460(b)28(y)-461(th)1(e)]TJ -205.6236 -11.9552 Td[(rou)1(tin)1(e)]TJ/F40 9.9626 Tf 34.3435 0 Td[(mld_precbld)]TJ/F8 9.9626 Tf 57.5337 0 Td[(.)]TJ +/F19 9.9626 Tf 149.7086 389.4138 Td[(Bui)1(ld)-475(the)-476(pr)52(e)51(c)51(onditioner)-475(for)-475(a)-475(given)-475(matrix.)]TJ/F8 9.9626 Tf 205.6236 0 Td[(This)-461(is)-461(p)-27(e)-1(rf)1(orme)-1(d)-460(b)28(y)-461(th)1(e)]TJ -205.6236 -11.9552 Td[(rou)1(tin)1(e)]TJ/F39 9.9626 Tf 34.3435 0 Td[(mld_precbld)]TJ/F8 9.9626 Tf 57.5337 0 Td[(.)]TJ ET 1 0 0 1 124.802 357.5333 cm 0 g 0 G @@ -1264,7 +1303,7 @@ ET 0 g 0 G 1 0 0 1 -144.7273 -357.5333 cm BT -/F19 9.9626 Tf 149.7086 357.5333 Td[(App)-1(l)1(y)-342(the)-342(pr)52(e)51(c)51(on)-1(di)1(t)-1(i)1(on)-1(er)-341(at)-342(e)51(ach)-342(iter)51(ation)-342(of)-342(a)-342(Kr)1(yl)1(ov)-342(solver.)]TJ/F8 9.9626 Tf 268.9199 0 Td[(This)-316(is)-316(p)-28(er-)]TJ -268.9199 -11.9551 Td[(for)1(m)-1(ed)-389(b)28(y)-389(th)1(e)-390(rou)1(tine)]TJ/F40 9.9626 Tf 101.086 0 Td[(mld_precaply)]TJ/F8 9.9626 Tf 62.7641 0 Td[(.)-612(When)-389(using)-389(th)1(e)-390(PS)1(B)-1(LAS)-389(K)1(rylo)28(v)]TJ -163.8501 -11.9552 Td[(solv)28(e)-1(r)1(s)-1(,)-244(th)1(is)-223(ste)-1(p)-221(is)-223(com)-1(p)1(lete)-1(ly)-222(tr)1(anspar)1(e)-1(n)28(t)-222(to)-222(th)1(e)-223(user,)-244(s)-1(in)1(c)-1(e)]TJ/F40 9.9626 Tf 256.1509 0 Td[(mld_precaply)]TJ/F8 9.9626 Tf -256.1509 -11.9552 Td[(is)-222(c)-1(all)1(e)-1(d)-222(b)29(y)-222(the)-223(P)1(SBLAS)-222(r)1(outin)1(e)-223(impl)1(e)-1(me)-1(n)29(ting)-222(th)1(e)-223(Kr)1(ylo)28(v)-222(s)-1(ol)1(v)28(e)-1(r)-222(\050)]TJ/F40 9.9626 Tf 279.0087 0 Td[(psb_krylov)]TJ/F8 9.9626 Tf 52.3034 0 Td[(\051.)]TJ +/F19 9.9626 Tf 149.7086 357.5333 Td[(App)-1(l)1(y)-342(the)-342(pr)52(e)51(c)51(on)-1(di)1(t)-1(i)1(on)-1(er)-341(at)-342(e)51(ach)-342(iter)51(ation)-342(of)-342(a)-342(Kr)1(yl)1(ov)-342(solver.)]TJ/F8 9.9626 Tf 268.9199 0 Td[(This)-316(is)-316(p)-28(er-)]TJ -268.9199 -11.9551 Td[(for)1(m)-1(ed)-389(b)28(y)-389(th)1(e)-390(rou)1(tine)]TJ/F39 9.9626 Tf 101.086 0 Td[(mld_precaply)]TJ/F8 9.9626 Tf 62.7641 0 Td[(.)-612(When)-389(using)-389(th)1(e)-390(PS)1(B)-1(LAS)-389(K)1(rylo)28(v)]TJ -163.8501 -11.9552 Td[(solv)28(e)-1(r)1(s)-1(,)-244(th)1(is)-223(ste)-1(p)-221(is)-223(com)-1(p)1(lete)-1(ly)-222(tr)1(anspar)1(e)-1(n)28(t)-222(to)-222(th)1(e)-223(user,)-244(s)-1(in)1(c)-1(e)]TJ/F39 9.9626 Tf 256.1509 0 Td[(mld_precaply)]TJ/F8 9.9626 Tf -256.1509 -11.9552 Td[(is)-222(c)-1(all)1(e)-1(d)-222(b)29(y)-222(the)-223(P)1(SBLAS)-222(r)1(outin)1(e)-223(impl)1(e)-1(me)-1(n)29(ting)-222(th)1(e)-223(Kr)1(ylo)28(v)-222(s)-1(ol)1(v)28(e)-1(r)-222(\050)]TJ/F39 9.9626 Tf 279.0087 0 Td[(psb_krylov)]TJ/F8 9.9626 Tf 52.3034 0 Td[(\051.)]TJ ET 1 0 0 1 124.802 301.7425 cm 0 g 0 G @@ -1276,19 +1315,19 @@ ET 0 g 0 G 1 0 0 1 -144.7273 -301.7425 cm BT -/F19 9.9626 Tf 149.7086 301.7425 Td[(F)77(r)51(e)51(e)-398(t)-1(he)-399(pr)52(e)51(c)51(onditioner)-399(data)-399(structur)52(e)]TJ/F8 9.9626 Tf 165.6105 0 Td[(.)-578(This)-378(is)-378(p)-28(erf)1(orm)-1(ed)-378(b)29(y)-378(the)-378(rou)1(tin)1(e)]TJ/F40 9.9626 Tf -165.6105 -11.9551 Td[(mld_precfree)]TJ/F8 9.9626 Tf 62.7641 0 Td[(.)-483(Th)1(is)-347(ste)-1(p)-345(is)-347(com)-1(p)1(lem)-1(en)28(tar)1(y)-346(to)-346(s)-1(tep)-346(1)-346(and)-345(s)-1(h)1(ould)-345(b)-28(e)-346(p)-28(er-)]TJ -62.7641 -11.9552 Td[(for)1(m)-1(ed)-333(when)-333(th)1(e)-334(pr)1(e)-1(cond)1(itioner)-333(is)-334(n)1(o)-333(m)-1(or)1(e)-334(use)-1(d)1(.)]TJ -24.9066 -19.9253 Td[(A)-333(detailed)-333(des)-1(cri)1(ption)-333(of)-332(the)-334(ab)-27(o)28(v)28(e)-334(rou)1(tines)-334(is)-333(giv)28(e)-1(n)-332(in)-333(Sec)-1(t)1(ion)]TJ +/F19 9.9626 Tf 149.7086 301.7425 Td[(F)77(r)51(e)51(e)-398(t)-1(he)-399(pr)52(e)51(c)51(onditioner)-399(data)-399(structur)52(e)]TJ/F8 9.9626 Tf 165.6105 0 Td[(.)-578(This)-378(is)-378(p)-28(erf)1(orm)-1(ed)-378(b)29(y)-378(the)-378(rou)1(tin)1(e)]TJ/F39 9.9626 Tf -165.6105 -11.9551 Td[(mld_precfree)]TJ/F8 9.9626 Tf 62.7641 0 Td[(.)-483(Th)1(is)-347(ste)-1(p)-345(is)-347(com)-1(p)1(lem)-1(en)28(tar)1(y)-346(to)-346(s)-1(tep)-346(1)-346(and)-345(s)-1(h)1(ould)-345(b)-28(e)-346(p)-28(er-)]TJ -62.7641 -11.9552 Td[(for)1(m)-1(ed)-333(when)-333(th)1(e)-334(pr)1(e)-1(cond)1(itioner)-333(is)-334(n)1(o)-333(m)-1(or)1(e)-334(use)-1(d)1(.)]TJ -24.9066 -19.9253 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0 Td[(mld_precset)]TJ/F8 9.9626 Tf 57.5338 0 Td[(.)-694(Not)1(e)-417(that)-416(the)-416(t)27(y)1(p)-28(e)-417(of)-416(m)28(ul)1(tilev)28(e)-1(l)-416(fr)1(am)-1(ew)28(ork)-416(\050i.e.)-416(m)27(ul)1(ti-)]TJ -89.9101 -11.9551 Td[(pl)1(ic)-1(at)1(iv)28(e)-427(among)-426(the)-426(lev)28(e)-1(ls)-426(w)-1(i)1(th)-426(p)-27(os)-1(t-s)-1(mo)-28(oth)1(in)1(g)-427(on)1(ly\051)-426(is)-427(n)1(ot)-426(s)-1(p)-27(ec)-1(i\014)1(e)-1(d)-426(sin)1(c)-1(e)-426(it)]TJ 0 -11.9552 Td[(is)-425(the)-425(defau)1(lt)-425(se)-1(t)-425(b)29(y)]TJ/F39 9.9626 Tf 94.6176 0 Td[(mld_precinit)]TJ/F8 9.9626 Tf 62.7641 0 Td[(.)-719(Figu)1(re)]TJ +ET +1 0 0 1 324.4697 574.622 cm +0 0 1 rg 0 0 1 RG +1 0 0 1 -324.4697 -574.622 cm +BT +/F8 9.9626 Tf 324.4697 574.622 Td[(3)]TJ +ET +1 0 0 1 329.451 574.622 cm +0 g 0 G +1 0 0 1 -329.451 -574.622 cm +BT +/F8 9.9626 Tf 333.6851 574.622 Td[(sho)28(ws)-426(h)1(o)27(w)-425(to)-425(se)-1(t)-425(a)-425(t)1(hree)-1(-lev)28(e)-1(l)]TJ -208.8831 -11.9552 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Td[(are)-415(in)1(c)-1(lu)1(ded)-414(in)-415(t)1(he)-415(e)-1(xamp)1(le)-415(progr)1(am)-416(\014)1(le)]TJ/F40 9.9626 Tf 185.9237 0 Td[(example_ml.f90)]TJ/F8 9.9626 Tf 73.2248 0 Td[(.)]TJ/F37 9.9626 Tf 9.6306 0 Td[(LO)]TJ -328.2137 -11.9551 Td[(STE)1(SSO)-534(PR)31(O)1(G)-1(RAMMA)-534(CO)1(NTI)-1(E)1(NE)-533(I)-534(TR)-1(E)-533(ES)1(EMPI,)-534(CON)-533(UN)]TJ 0 -11.9552 Td[(SWITC)1(H)-283(TRA)-283(L)1(')-1(U)1(NO)-282(E)-282(L'A)-1(L)96(TR)32(O)-282(O)-282(F)128(A)32(CCIAMO)-282(3)-282(PR)31(OGRA)-1(M)1(MI)]TJ 0 -11.9552 Td[(DISTINTI?)-384(NO)1(N)-384(RICORDO)-383(CHE)-383(C)1(OSA)-384(ABB)-1(IAMO)-383(DE)1(CISO.)]TJ/F8 9.9626 Tf 14.944 -11.9551 Td[(Fin)1(ally)84(,)-367(Figur)1(e)]TJ +/F8 9.9626 Tf 323.8823 490.9358 Td[(are)-386(in)1(c)-1(l)1(ud)1(e)-1(d)-385(in)-385(the)-386(example)-386(p)1(ro-)]TJ -199.0803 -11.9551 Td[(gram)-429(\014)1(le)]TJ/F39 9.9626 Tf 43.4395 0 Td[(example_ml.f90)]TJ/F8 9.9626 Tf 73.2247 0 Td[(.)]TJ/F37 9.9626 Tf 10.0463 0 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20.9213 0 Td[(x)]TJ/F39 9.9626 Tf 5.8212 0 Td[(spmat_type)]TJ/F8 9.9626 Tf 55.6396 0 Td[(with)]TJ/F19 9.9626 Tf 22.708 0 Td[(x)]TJ/F8 9.9626 Tf 9.1573 0 Td[(=)]TJ/F39 9.9626 Tf 11.0849 0 Td[(s)]TJ/F8 9.9626 Tf 8.5665 0 Td[(for)-334(real)-335(singl)1(e)-336(p)1(re-)]TJ -239.1958 -11.9551 Td[(cis)-1(i)1(on,)]TJ/F19 9.9626 Tf 30.2987 0 Td[(x)]TJ/F8 9.9626 Tf 8.8944 0 Td[(=)]TJ/F39 9.9626 Tf 10.822 0 Td[(d)]TJ/F8 9.9626 Tf 8.3035 0 Td[(for)-308(r)1(e)-1(al)-308(dou)1(ble)-308(prec)-1(i)1(s)-1(ion)1(,)]TJ/F19 9.9626 Tf 110.1702 0 Td[(x)]TJ/F8 9.9626 Tf 8.8944 0 Td[(=)]TJ/F39 9.9626 Tf 10.8219 0 Td[(c)]TJ/F8 9.9626 Tf 8.3036 0 Td[(for)-308(complex)-309(sin)1(gle)-309(pr)1(e)-1(cision,)]TJ/F19 9.9626 Tf -196.5087 -11.9552 Td[(x)]TJ/F8 9.9626 Tf 9.1421 0 Td[(=)]TJ/F39 9.9626 Tf 11.0696 0 Td[(z)]TJ/F8 9.9626 Tf 8.5512 0 Td[(for)-333(complex)-333(dou)1(ble)-333(prec)-1(i)1(s)-1(ion)1(;)]TJ ET -1 0 0 1 124.802 515.763 cm +1 0 0 1 124.802 512.9505 cm 0 g 0 G -1 0 0 1 -124.802 -515.763 cm +1 0 0 1 -124.802 -512.9505 cm BT -/F14 9.9626 Tf 139.746 515.763 Td[(\017)]TJ +/F14 9.9626 Tf 139.746 512.9505 Td[(\017)]TJ ET -1 0 0 1 144.7273 515.763 cm +1 0 0 1 144.7273 512.9505 cm 0 g 0 G -1 0 0 1 -144.7273 -515.763 cm +1 0 0 1 -144.7273 -512.9505 cm BT -/F8 9.9626 Tf 149.7086 515.763 Td[(th)1(e)-323(pr)1(e)-1(cond)1(ition)1(e)-1(r)-322(d)1(ata)-322(s)-1(tr)1(uctur)1(e)-323(m)27(u)1(s)-1(t)-322(b)-27(e)-323(of)-321(t)28(yp)-28(e)]TJ/F40 9.9626 Tf 219.6176 0 Td[(mld_)]TJ/F19 9.9626 Tf 20.9214 0 Td[(x)]TJ/F40 9.9626 Tf 5.8212 0 Td[(prec_type)]TJ/F8 9.9626 Tf 47.0731 0 Td[(,)-324(with)]TJ/F19 9.9626 Tf -293.4333 -11.9552 Td[(x)]TJ/F8 9.9626 Tf 9.1421 0 Td[(=)]TJ/F40 9.9626 Tf 11.0696 0 Td[(s)]TJ/F8 9.9626 Tf 5.2304 0 Td[(,)]TJ/F40 9.9626 Tf 6.0883 0 Td[(d)]TJ/F8 9.9626 Tf 5.2303 0 Td[(,)]TJ/F40 9.9626 Tf 6.0883 0 Td[(c)]TJ/F8 9.9626 Tf 5.2303 0 Td[(,)]TJ/F40 9.9626 Tf 6.0883 0 Td[(z)]TJ/F8 9.9626 Tf 5.2303 0 Td[(,)-333(ac)-1(cord)1(ing)-333(to)-333(the)-333(s)-1(p)1(arse)-334(m)-1(atr)1(ix)-333(data)-333(stru)1(c)-1(tu)1(re;)]TJ +/F8 9.9626 Tf 149.7086 512.9505 Td[(th)1(e)-323(pr)1(e)-1(cond)1(ition)1(e)-1(r)-322(d)1(ata)-322(s)-1(tr)1(uctur)1(e)-323(m)27(u)1(s)-1(t)-322(b)-27(e)-323(of)-321(t)28(yp)-28(e)]TJ/F39 9.9626 Tf 219.6176 0 Td[(mld_)]TJ/F19 9.9626 Tf 20.9214 0 Td[(x)]TJ/F39 9.9626 Tf 5.8212 0 Td[(prec_type)]TJ/F8 9.9626 Tf 47.0731 0 Td[(,)-324(with)]TJ/F19 9.9626 Tf -293.4333 -11.9552 Td[(x)]TJ/F8 9.9626 Tf 9.1421 0 Td[(=)]TJ/F39 9.9626 Tf 11.0696 0 Td[(s)]TJ/F8 9.9626 Tf 5.2304 0 Td[(,)]TJ/F39 9.9626 Tf 6.0883 0 Td[(d)]TJ/F8 9.9626 Tf 5.2303 0 Td[(,)]TJ/F39 9.9626 Tf 6.0883 0 Td[(c)]TJ/F8 9.9626 Tf 5.2303 0 Td[(,)]TJ/F39 9.9626 Tf 6.0883 0 Td[(z)]TJ/F8 9.9626 Tf 5.2303 0 Td[(,)-333(ac)-1(cord)1(ing)-333(to)-333(the)-333(s)-1(p)1(arse)-334(m)-1(atr)1(ix)-333(data)-333(stru)1(c)-1(tu)1(re;)]TJ ET -1 0 0 1 124.802 484.82 cm +1 0 0 1 124.802 481.0701 cm 0 g 0 G -1 0 0 1 -124.802 -484.82 cm +1 0 0 1 -124.802 -481.0701 cm BT -/F14 9.9626 Tf 139.746 484.82 Td[(\017)]TJ +/F14 9.9626 Tf 139.746 481.0701 Td[(\017)]TJ ET -1 0 0 1 144.7273 484.82 cm +1 0 0 1 144.7273 481.0701 cm 0 g 0 G -1 0 0 1 -144.7273 -484.82 cm +1 0 0 1 -144.7273 -481.0701 cm BT -/F8 9.9626 Tf 149.7086 484.82 Td[(th)1(e)-364(ar)1(ra)28(ys)-363(con)28(tain)1(ing)-362(the)-363(v)28(ec)-1(tors)]TJ/F11 9.9626 Tf 148.0504 0 Td[(v)]TJ/F8 9.9626 Tf 8.7997 0 Td[(and)]TJ/F11 9.9626 Tf 19.664 0 Td[(w)]TJ/F8 9.9626 Tf 11.0136 0 Td[(in)28(v)28(ol)1(v)28(e)-1(d)-362(in)-362(th)1(e)-364(p)1(rec)-1(on)1(dit)1(ioner)]TJ -187.5277 -11.9551 Td[(app)1(lication)]TJ/F11 9.9626 Tf 51.7947 0 Td[(w)]TJ/F8 9.9626 Tf 10.7026 0 Td[(=)]TJ/F11 9.9626 Tf 11.0509 0 Td[(M)]TJ/F13 6.9738 Tf 10.7513 3.6153 Td[(\000)]TJ/F7 6.9738 Tf 6.2267 0 Td[(1)]TJ/F11 9.9626 Tf 4.4694 -3.6153 Td[(v)]TJ/F8 9.9626 Tf 8.8283 0 Td[(m)27(u)1(s)-1(t)-365(b)-27(e)-366(of)-365(t)27(y)1(p)-28(e)]TJ/F19 9.9626 Tf 73.2914 0 Td[(typ)51(e)]TJ/F40 9.9626 Tf 18.0613 0 Td[(\050)]TJ/F19 9.9626 Tf 5.2303 0 Td[(kind)]TJ +/F8 9.9626 Tf 149.7086 481.0701 Td[(th)1(e)-364(ar)1(ra)28(ys)-363(con)28(tain)1(ing)-362(the)-363(v)28(ec)-1(tors)]TJ/F11 9.9626 Tf 148.0504 0 Td[(v)]TJ/F8 9.9626 Tf 8.7997 0 Td[(and)]TJ/F11 9.9626 Tf 19.664 0 Td[(w)]TJ/F8 9.9626 Tf 11.0136 0 Td[(in)28(v)28(ol)1(v)28(e)-1(d)-362(in)-362(th)1(e)-364(p)1(rec)-1(on)1(dit)1(ioner)]TJ -187.5277 -11.9552 Td[(app)1(lication)]TJ/F11 9.9626 Tf 51.7947 0 Td[(w)]TJ/F8 9.9626 Tf 10.7026 0 Td[(=)]TJ/F11 9.9626 Tf 11.0509 0 Td[(M)]TJ/F13 6.9738 Tf 10.7513 3.6154 Td[(\000)]TJ/F7 6.9738 Tf 6.2267 0 Td[(1)]TJ/F11 9.9626 Tf 4.4694 -3.6154 Td[(v)]TJ/F8 9.9626 Tf 8.8283 0 Td[(m)27(u)1(s)-1(t)-365(b)-27(e)-366(of)-365(t)27(y)1(p)-28(e)]TJ/F19 9.9626 Tf 73.2914 0 Td[(typ)51(e)]TJ/F39 9.9626 Tf 18.0613 0 Td[(\050)]TJ/F19 9.9626 Tf 5.2303 0 Td[(kind)]TJ ET -1 0 0 1 369.0577 472.8649 cm +1 0 0 1 369.0577 469.1149 cm q []0 d 0 J @@ -2380,11 +2521,11 @@ q 3.0552 0.1992 l S Q -1 0 0 1 -369.0577 -472.8649 cm +1 0 0 1 -369.0577 -469.1149 cm BT -/F19 9.9626 Tf 372.1129 472.8649 Td[(p)51(ar)51(ameter)]TJ/F40 9.9626 Tf 44.3541 0 Td[(\051)]TJ/F8 9.9626 Tf 5.2304 0 Td[(,)-373(w)-1(i)1(th)]TJ/F19 9.9626 Tf 29.503 0 Td[(typ)51(e)]TJ/F8 9.9626 Tf -301.4918 -11.9552 Td[(=)]TJ/F40 9.9626 Tf 11.3873 0 Td[(real)]TJ/F8 9.9626 Tf 20.9214 0 Td[(,)]TJ/F40 9.9626 Tf 6.4853 0 Td[(complex)]TJ/F8 9.9626 Tf 40.2509 0 Td[(and)]TJ/F19 9.9626 Tf 19.6895 0 Td[(kind)]TJ +/F19 9.9626 Tf 372.1129 469.1149 Td[(p)51(ar)51(ameter)]TJ/F39 9.9626 Tf 44.3541 0 Td[(\051)]TJ/F8 9.9626 Tf 5.2304 0 Td[(,)-373(w)-1(i)1(th)]TJ/F19 9.9626 Tf 29.503 0 Td[(typ)51(e)]TJ/F8 9.9626 Tf -301.4918 -11.9552 Td[(=)]TJ/F39 9.9626 Tf 11.3873 0 Td[(real)]TJ/F8 9.9626 Tf 20.9214 0 Td[(,)]TJ/F39 9.9626 Tf 6.4853 0 Td[(complex)]TJ/F8 9.9626 Tf 40.2509 0 Td[(and)]TJ/F19 9.9626 Tf 19.6895 0 Td[(kind)]TJ ET -1 0 0 1 267.3851 460.9097 cm +1 0 0 1 267.3851 457.1597 cm q []0 d 0 J @@ -2393,35 +2534,35 @@ q 3.0552 0.1992 l S Q -1 0 0 1 -267.3851 -460.9097 cm +1 0 0 1 -267.3851 -457.1597 cm BT -/F19 9.9626 Tf 270.4403 460.9097 Td[(p)51(ar)51(ameter)]TJ/F8 9.9626 Tf 47.9927 0 Td[(=)]TJ/F40 9.9626 Tf 11.3872 0 Td[(kind\0501.\051)]TJ/F8 9.9626 Tf 41.8427 0 Td[(,)]TJ/F40 9.9626 Tf 6.4854 0 Td[(kind\0501.d0\051)]TJ/F8 9.9626 Tf 52.3034 0 Td[(,)-373(acc)-1(ord)1(-)]TJ -280.7431 -11.9552 Td[(in)1(g)-492(to)-491(the)-492(spar)1(s)-1(e)-492(matri)1(x)-492(an)1(d)-491(prec)-1(on)1(di)1(tioner)-491(data)-491(s)-1(tr)1(uctur)1(e)-1(;)-570(note)-492(th)1(at)]TJ 0 -11.9551 Td[(th)1(e)-406(PSBLAS)-405(mo)-28(du)1(le)-406(pr)1(o)28(vides)-406(th)1(e)-407(constan)28(ts)]TJ/F40 9.9626 Tf 199.1978 0 Td[(psb_spk_)]TJ/F8 9.9626 Tf 45.8832 0 Td[(=)]TJ/F40 9.9626 Tf 11.7893 0 Td[(kind\0501.\051)]TJ/F8 9.9626 Tf 45.8832 0 Td[(and)]TJ/F40 9.9626 Tf -302.7535 -11.9552 Td[(psb_dpk_)]TJ/F8 9.9626 Tf 45.1636 0 Td[(=)]TJ/F40 9.9626 Tf 11.0696 0 Td[(kind\0501.d0\051)]TJ/F8 9.9626 Tf 52.3034 0 Td[(;)]TJ +/F19 9.9626 Tf 270.4403 457.1597 Td[(p)51(ar)51(ameter)]TJ/F8 9.9626 Tf 47.9927 0 Td[(=)]TJ/F39 9.9626 Tf 11.3872 0 Td[(kind\0501.\051)]TJ/F8 9.9626 Tf 41.8427 0 Td[(,)]TJ/F39 9.9626 Tf 6.4854 0 Td[(kind\0501.d0\051)]TJ/F8 9.9626 Tf 52.3034 0 Td[(,)-373(acc)-1(ord)1(-)]TJ -280.7431 -11.9551 Td[(in)1(g)-492(to)-491(the)-492(spar)1(s)-1(e)-492(matri)1(x)-492(an)1(d)-491(prec)-1(on)1(di)1(tioner)-491(data)-491(s)-1(tr)1(uctur)1(e)-1(;)-570(note)-492(th)1(at)]TJ 0 -11.9552 Td[(th)1(e)-406(PSBLAS)-405(mo)-28(du)1(le)-406(pr)1(o)28(vides)-406(th)1(e)-407(constan)28(ts)]TJ/F39 9.9626 Tf 199.1978 0 Td[(psb_spk_)]TJ/F8 9.9626 Tf 45.8832 0 Td[(=)]TJ/F39 9.9626 Tf 11.7893 0 Td[(kind\0501.\051)]TJ/F8 9.9626 Tf 45.8832 0 Td[(and)]TJ/F39 9.9626 Tf -302.7535 -11.9552 Td[(psb_dpk_)]TJ/F8 9.9626 Tf 45.1636 0 Td[(=)]TJ/F39 9.9626 Tf 11.0696 0 Td[(kind\0501.d0\051)]TJ/F8 9.9626 Tf 52.3034 0 Td[(;)]TJ ET -1 0 0 1 124.802 406.0564 cm +1 0 0 1 124.802 401.369 cm 0 g 0 G -1 0 0 1 -124.802 -406.0564 cm +1 0 0 1 -124.802 -401.369 cm BT -/F14 9.9626 Tf 139.746 406.0564 Td[(\017)]TJ +/F14 9.9626 Tf 139.746 401.369 Td[(\017)]TJ ET -1 0 0 1 144.7273 406.0564 cm +1 0 0 1 144.7273 401.369 cm 0 g 0 G -1 0 0 1 -144.7273 -406.0564 cm +1 0 0 1 -144.7273 -401.369 cm BT -/F8 9.9626 Tf 149.7086 406.0564 Td[(real)-287(p)1(arame)-1(ters)-287(d)1(e)-1(\014)1(nin)1(g)-287(th)1(e)-288(p)1(rec)-1(on)1(diti)1(oner)-287(m)28(ust)-287(b)-27(e)-287(dec)-1(lar)1(e)-1(d)-286(acc)-1(ord)1(in)1(g)-287(to)]TJ 0 -11.9552 Td[(th)1(e)-334(pr)1(e)-1(cis)-1(i)1(on)-333(of)-333(the)-333(previou)1(s)-334(dat)1(a)-334(stru)1(c)-1(tu)1(res)-334(\050se)-1(e)-334(S)1(e)-1(ction)]TJ +/F8 9.9626 Tf 149.7086 401.369 Td[(real)-287(p)1(arame)-1(ters)-287(d)1(e)-1(\014)1(nin)1(g)-287(th)1(e)-288(p)1(rec)-1(on)1(diti)1(oner)-287(m)28(ust)-287(b)-27(e)-287(dec)-1(lar)1(e)-1(d)-286(acc)-1(ord)1(in)1(g)-287(to)]TJ 0 -11.9552 Td[(th)1(e)-334(pr)1(e)-1(cis)-1(i)1(on)-333(of)-333(the)-333(previou)1(s)-334(dat)1(a)-334(stru)1(c)-1(tu)1(res)-334(\050se)-1(e)-334(S)1(e)-1(ction)]TJ ET -1 0 0 1 400.8229 394.1012 cm +1 0 0 1 400.8229 389.4138 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -400.8229 -394.1012 cm +1 0 0 1 -400.8229 -389.4138 cm BT -/F8 9.9626 Tf 400.8229 394.1012 Td[(6.2)]TJ +/F8 9.9626 Tf 400.8229 389.4138 Td[(5.2)]TJ ET -1 0 0 1 413.553 394.1012 cm +1 0 0 1 413.553 389.4138 cm 0 g 0 G -1 0 0 1 -413.553 -394.1012 cm +1 0 0 1 -413.553 -389.4138 cm BT -/F8 9.9626 Tf 413.553 394.1012 Td[(\051.)]TJ -288.751 -18.0503 Td[(A)-333(des)-1(crip)1(tion)-333(of)-333(eac)27(h)-333(r)1(outin)1(e)-334(is)-334(gi)1(v)28(e)-1(n)-333(i)1(n)-333(the)-334(r)1(e)-1(main)1(der)-333(of)-333(thi)1(s)-334(s)-1(ec)-1(t)1(ion.)]TJ/F18 11.9552 Tf 0 -27.4848 Td[(6.)-1(1)-1125(Subr)-1(out)-1(ine)-376(ml)-1(d)]TJ +/F8 9.9626 Tf 413.553 389.4138 Td[(\051.)]TJ -288.751 -19.9253 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Td[(v)28(ers)-1(i)1(on)-333(of)-333(MLD2P)1(4)-334(u)1(nd)1(e)-1(r)-333(u)1(s)-1(e.)]TJ/F40 9.9626 Tf -45.9708 -11.9552 Td[(x)]TJ/F19 9.9626 Tf 45.9708 0 Td[(typ)51(e)]TJ/F40 9.9626 Tf 18.0613 0 Td[(\050)]TJ/F19 9.9626 Tf 5.2303 0 Td[(kind)]TJ +/F39 9.9626 Tf 215.5873 687.7395 Td[(mld_precaply\050p,x,y,desc_a,info\051)]TJ -28.7669 -11.9552 Td[(mld_precaply\050p,x,y,desc_a,info,trans,work\051)]TJ/F8 9.9626 Tf -62.0184 -21.1124 Td[(This)-315(r)1(outi)1(ne)-315(com)-1(p)1(utes)]TJ/F11 9.9626 Tf 100.8637 0 Td[(y)]TJ/F8 9.9626 Tf 8.0093 0 Td[(=)]TJ/F11 9.9626 Tf 10.516 0 Td[(op)]TJ/F8 9.9626 Tf 9.8416 0 Td[(\050)]TJ/F11 9.9626 Tf 3.8744 0 Td[(M)]TJ/F13 6.9738 Tf 10.7513 3.6154 Td[(\000)]TJ/F7 6.9738 Tf 6.2267 0 Td[(1)]TJ/F8 9.9626 Tf 4.4694 -3.6154 Td[(\051)]TJ/F11 9.9626 Tf 5.5348 0 Td[(x)]TJ/F8 9.9626 Tf 5.6939 0 Td[(,)-318(where)]TJ/F11 9.9626 Tf 34.5599 0 Td[(M)]TJ/F8 9.9626 Tf 13.885 0 Td[(is)-315(a)-314(previou)1(s)-1(l)1(y)-315(b)1(uil)1(t)-315(p)1(rec)-1(on)1(di-)]TJ -214.2259 -11.9552 Td[(tion)1(e)-1(r)1(,)-376(stored)-366(in)-367(th)1(e)]TJ/F39 9.9626 Tf 91.7522 0 Td[(p)]TJ/F8 9.9626 Tf 8.8863 0 Td[(dat)1(a)-367(s)-1(tr)1(ucture,)-375(and)]TJ/F11 9.9626 Tf 88.6497 0 Td[(op)]TJ/F8 9.9626 Tf 13.4976 0 Td[(denot)1(e)-1(s)-367(the)-367(pr)1(e)-1(cond)1(ition)1(e)-1(r)-367(i)1(ts)-1(elf)]TJ -202.7858 -11.9551 Td[(or)-412(it)1(s)-413(tr)1(ansp)-28(ose)-1(,)-431(ac)-1(cord)1(ing)-412(to)-412(th)1(e)-413(v)56(alu)1(e)-413(of)]TJ/F39 9.9626 Tf 191.3062 0 Td[(trans)]TJ/F8 9.9626 Tf 26.1517 0 Td[(.)-680(Note)-413(th)1(at,)-432(wh)1(e)-1(n)-412(M)1(LD2P4)]TJ -217.4579 -11.9552 Td[(is)-344(use)-1(d)-343(with)-344(a)-344(K)1(rylo)28(v)-344(solv)28(er)-344(fr)1(om)-345(P)1(SBLAS,)]TJ/F39 9.9626 Tf 194.1243 0 Td[(mld_precaply)]TJ/F8 9.9626 Tf 66.191 0 Td[(is)-344(c)-1(al)1(le)-1(d)-343(withi)1(n)-344(th)1(e)]TJ -260.3153 -11.9552 Td[(PS)1(BLAS)-333(rout)1(ine)]TJ/F39 9.9626 Tf 76.2697 0 Td[(mld_krylov)]TJ/F8 9.9626 Tf 55.6243 0 Td[(and)-332(hence)-334(is)-334(com)-1(p)1(lete)-1(l)1(y)-334(t)1(ranspar)1(e)-1(n)28(t)-333(to)-333(the)-333(use)-1(r)1(.)]TJ/F37 9.9626 Tf -131.894 -25.7572 Td[(Argumen)32(t)-1(s)]TJ/F39 9.9626 Tf 5.9776 -17.7362 Td[(p)-4089(type\050mld_)]TJ/F19 9.9626 Tf 93.0439 0 Td[(x)]TJ/F39 9.9626 Tf 5.8212 0 Td[(prec_type\051,)-525(intent\050inout\051)]TJ/F8 9.9626 Tf 130.7585 0 Td[(.)]TJ -183.6528 -11.9552 Td[(The)-225(pr)1(e)-1(cond)1(ition)1(e)-1(r)-224(data)-224(s)-1(tr)1(uctur)1(e)-1(,)-246(c)-1(on)29(taini)1(ng)-225(th)1(e)-225(lo)-28(cal)-225(p)1(art)-225(of)]TJ/F11 9.9626 Tf 267.1386 0 Td[(M)]TJ/F8 9.9626 Tf 10.7513 0 Td[(.)-408(Note)-225(that)]TJ/F19 9.9626 Tf -277.8899 -11.9551 Td[(x)]TJ/F8 9.9626 Tf 10.2133 0 Td[(m)27(u)1(s)-1(t)-440(b)-28(e)-441(c)27(h)1(os)-1(en)-441(accordi)1(ng)-441(to)-441(t)1(he)-441(real/c)-1(ompl)1(e)-1(x,)-467(s)-1(i)1(ngle/dou)1(ble)-441(p)1(re)-1(cision)]TJ -10.2133 -11.9552 Td[(v)28(ers)-1(i)1(on)-333(of)-333(MLD2P)1(4)-334(u)1(nd)1(e)-1(r)-333(u)1(s)-1(e.)]TJ/F39 9.9626 Tf -45.9708 -11.9552 Td[(x)]TJ/F19 9.9626 Tf 45.9708 0 Td[(typ)51(e)]TJ/F39 9.9626 Tf 18.0613 0 Td[(\050)]TJ/F19 9.9626 Tf 5.2303 0 Td[(kind)]TJ ET 1 0 0 1 218.9842 515.5372 cm q @@ -5001,7 +5478,7 @@ S Q 1 0 0 1 -218.9842 -515.5372 cm BT -/F19 9.9626 Tf 222.0394 515.5372 Td[(p)51(ar)51(ameter)]TJ/F40 9.9626 Tf 44.3541 0 Td[(\051,)-525(dimension\050:\051,)-525(intent\050in\051)]TJ/F8 9.9626 Tf 141.2192 0 Td[(.)]TJ -230.8623 -11.9552 Td[(The)-417(lo)-27(c)-1(al)-416(par)1(t)-417(of)-416(th)1(e)-417(v)28(e)-1(ctor)]TJ/F11 9.9626 Tf 129.0095 0 Td[(x)]TJ/F8 9.9626 Tf 5.6939 0 Td[(.)-694(Note)-417(th)1(at)]TJ/F19 9.9626 Tf 57.0028 0 Td[(typ)51(e)]TJ/F8 9.9626 Tf 22.2113 0 Td[(and)]TJ/F19 9.9626 Tf 20.2009 0 Td[(kind)]TJ +/F19 9.9626 Tf 222.0394 515.5372 Td[(p)51(ar)51(ameter)]TJ/F39 9.9626 Tf 44.3541 0 Td[(\051,)-525(dimension\050:\051,)-525(intent\050in\051)]TJ/F8 9.9626 Tf 141.2192 0 Td[(.)]TJ -230.8623 -11.9552 Td[(The)-417(lo)-27(c)-1(al)-416(par)1(t)-417(of)-416(th)1(e)-417(v)28(e)-1(ctor)]TJ/F11 9.9626 Tf 129.0095 0 Td[(x)]TJ/F8 9.9626 Tf 5.6939 0 Td[(.)-694(Note)-417(th)1(at)]TJ/F19 9.9626 Tf 57.0028 0 Td[(typ)51(e)]TJ/F8 9.9626 Tf 22.2113 0 Td[(and)]TJ/F19 9.9626 Tf 20.2009 0 Td[(kind)]TJ ET 1 0 0 1 429.811 503.582 cm q @@ -5014,7 +5491,7 @@ S Q 1 0 0 1 -429.811 -503.582 cm BT -/F19 9.9626 Tf 432.8662 503.582 Td[(p)51(ar)51(ameter)]TJ/F8 9.9626 Tf 48.5041 0 Td[(m)27(u)1(s)-1(t)]TJ -304.6199 -11.9552 Td[(b)-27(e)-318(c)28(hose)-1(n)-316(acc)-1(ord)1(in)1(g)-317(to)-317(th)1(e)-317(re)-1(al)1(/c)-1(ompl)1(e)-1(x,)-319(s)-1(in)1(gle)-1(/d)1(oub)1(le)-317(pr)1(e)-1(cision)-317(v)28(ersion)-316(of)]TJ 0 -11.9551 Td[(MLD2P)1(4)-333(und)1(e)-1(r)-333(u)1(s)-1(e.)]TJ/F40 9.9626 Tf -45.9708 -11.9552 Td[(y)]TJ/F19 9.9626 Tf 45.9708 0 Td[(typ)51(e)]TJ/F40 9.9626 Tf 18.0613 0 Td[(\050)]TJ/F19 9.9626 Tf 5.2303 0 Td[(kind)]TJ +/F19 9.9626 Tf 432.8662 503.582 Td[(p)51(ar)51(ameter)]TJ/F8 9.9626 Tf 48.5041 0 Td[(m)27(u)1(s)-1(t)]TJ -304.6199 -11.9552 Td[(b)-27(e)-318(c)28(hose)-1(n)-316(acc)-1(ord)1(in)1(g)-317(to)-317(th)1(e)-317(re)-1(al)1(/c)-1(ompl)1(e)-1(x,)-319(s)-1(in)1(gle)-1(/d)1(oub)1(le)-317(pr)1(e)-1(cision)-317(v)28(ersion)-316(of)]TJ 0 -11.9551 Td[(MLD2P)1(4)-333(und)1(e)-1(r)-333(u)1(s)-1(e.)]TJ/F39 9.9626 Tf -45.9708 -11.9552 Td[(y)]TJ/F19 9.9626 Tf 45.9708 0 Td[(typ)51(e)]TJ/F39 9.9626 Tf 18.0613 0 Td[(\050)]TJ/F19 9.9626 Tf 5.2303 0 Td[(kind)]TJ ET 1 0 0 1 218.9842 467.7165 cm q @@ -5027,7 +5504,7 @@ S Q 1 0 0 1 -218.9842 -467.7165 cm BT -/F19 9.9626 Tf 222.0394 467.7165 Td[(p)51(ar)51(ameter)]TJ/F40 9.9626 Tf 44.3541 0 Td[(\051,)-525(dimension\050:\051,)-525(intent\050out\051)]TJ/F8 9.9626 Tf 146.4496 0 Td[(.)]TJ -236.0927 -11.9552 Td[(The)-420(lo)-28(cal)-420(p)1(art)-420(of)-419(th)1(e)-421(v)28(ector)]TJ/F11 9.9626 Tf 129.2032 0 Td[(y)]TJ/F8 9.9626 Tf 5.242 0 Td[(.)-704(Not)1(e)-421(th)1(at)]TJ/F19 9.9626 Tf 57.1642 0 Td[(typ)51(e)]TJ/F8 9.9626 Tf 22.2435 0 Td[(and)]TJ/F19 9.9626 Tf 20.2332 0 Td[(kind)]TJ +/F19 9.9626 Tf 222.0394 467.7165 Td[(p)51(ar)51(ameter)]TJ/F39 9.9626 Tf 44.3541 0 Td[(\051,)-525(dimension\050:\051,)-525(intent\050out\051)]TJ/F8 9.9626 Tf 146.4496 0 Td[(.)]TJ -236.0927 -11.9552 Td[(The)-420(lo)-28(cal)-420(p)1(art)-420(of)-419(th)1(e)-421(v)28(ector)]TJ/F11 9.9626 Tf 129.2032 0 Td[(y)]TJ/F8 9.9626 Tf 5.242 0 Td[(.)-704(Not)1(e)-421(th)1(at)]TJ/F19 9.9626 Tf 57.1642 0 Td[(typ)51(e)]TJ/F8 9.9626 Tf 22.2435 0 Td[(and)]TJ/F19 9.9626 Tf 20.2332 0 Td[(kind)]TJ ET 1 0 0 1 429.7787 455.7613 cm q @@ -5040,19 +5517,19 @@ S Q 1 0 0 1 -429.7787 -455.7613 cm BT -/F19 9.9626 Tf 432.8339 455.7613 Td[(p)51(ar)51(ameter)]TJ/F8 9.9626 Tf 48.5364 0 Td[(m)27(u)1(s)-1(t)]TJ -304.6199 -11.9552 Td[(b)-27(e)-318(c)28(hose)-1(n)-316(acc)-1(ord)1(in)1(g)-317(to)-317(th)1(e)-317(re)-1(al)1(/c)-1(ompl)1(e)-1(x,)-319(s)-1(in)1(gle)-1(/d)1(oub)1(le)-317(pr)1(e)-1(cision)-317(v)28(ersion)-316(of)]TJ 0 -11.9551 Td[(MLD2P)1(4)-333(und)1(e)-1(r)-333(u)1(s)-1(e.)]TJ/F40 9.9626 Tf -45.9708 -11.9552 Td[(desc_a)-1464(type\050psb_desc_type\051,)-525(intent\050in\051)]TJ/F8 9.9626 Tf 208.1114 0 Td[(.)]TJ -162.1406 -11.9552 Td[(The)-491(com)-1(m)28(un)1(ication)-490(des)-1(crip)1(tor)-490(as)-1(so)-28(ciate)-1(d)-490(to)-490(the)-491(matr)1(ix)-491(to)-490(b)-27(e)-491(prec)-1(on)1(di)1(-)]TJ 0 -11.9551 Td[(tion)1(e)-1(d)1(.)]TJ/F40 9.9626 Tf -45.9708 -11.9552 Td[(info)-2514(integer,)-525(intent\050out\051)]TJ/F8 9.9626 Tf 150.5776 0 Td[(.)]TJ -104.6068 -11.9552 Td[(Er)1(ror)-333(co)-28(de.)-444(See)-334(Sec)-1(t)1(ion)]TJ +/F19 9.9626 Tf 432.8339 455.7613 Td[(p)51(ar)51(ameter)]TJ/F8 9.9626 Tf 48.5364 0 Td[(m)27(u)1(s)-1(t)]TJ -304.6199 -11.9552 Td[(b)-27(e)-318(c)28(hose)-1(n)-316(acc)-1(ord)1(in)1(g)-317(to)-317(th)1(e)-317(re)-1(al)1(/c)-1(ompl)1(e)-1(x,)-319(s)-1(in)1(gle)-1(/d)1(oub)1(le)-317(pr)1(e)-1(cision)-317(v)28(ersion)-316(of)]TJ 0 -11.9551 Td[(MLD2P)1(4)-333(und)1(e)-1(r)-333(u)1(s)-1(e.)]TJ/F39 9.9626 Tf -45.9708 -11.9552 Td[(desc_a)-1464(type\050psb_desc_type\051,)-525(intent\050in\051)]TJ/F8 9.9626 Tf 208.1114 0 Td[(.)]TJ -162.1406 -11.9552 Td[(The)-491(com)-1(m)28(un)1(ication)-490(des)-1(crip)1(tor)-490(as)-1(so)-28(ciate)-1(d)-490(to)-490(the)-491(matr)1(ix)-491(to)-490(b)-27(e)-491(prec)-1(on)1(di)1(-)]TJ 0 -11.9551 Td[(tion)1(e)-1(d)1(.)]TJ/F39 9.9626 Tf -45.9708 -11.9552 Td[(info)-2514(integer,)-525(intent\050out\051)]TJ/F8 9.9626 Tf 150.5776 0 Td[(.)]TJ -104.6068 -11.9552 Td[(Er)1(ror)-333(co)-28(de.)-444(See)-334(Sec)-1(t)1(ion)]TJ ET 1 0 0 1 282.9634 372.0751 cm 0 0 1 rg 0 0 1 RG 1 0 0 1 -282.9634 -372.0751 cm BT -/F8 9.9626 Tf 282.9634 372.0751 Td[(7)]TJ +/F8 9.9626 Tf 282.9634 372.0751 Td[(6)]TJ ET 1 0 0 1 287.9447 372.0751 cm 0 g 0 G 1 0 0 1 -287.9447 -372.0751 cm BT -/F8 9.9626 Tf 291.2656 372.0751 Td[(for)-333(d)1(e)-1(t)1(ails.)]TJ/F40 9.9626 Tf -160.486 -11.9551 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Td[(1)]TJ/F8 9.9626 Tf 4.4694 -3.6154 Td[(\051)-278(=)]TJ/F11 9.9626 Tf 17.1578 0 Td[(M)]TJ/F13 6.9738 Tf 10.7513 3.6154 Td[(\000)]TJ/F10 6.9738 Tf 6.2267 0 Td[(T)]TJ/F8 9.9626 Tf 9.597 -3.6154 Td[(\050tr)1(ansp)-28(ose)-334(of)]TJ/F11 9.9626 Tf 59.9143 0 Td[(M)]TJ/F13 6.9738 Tf 10.7513 3.6154 Td[(\000)]TJ/F7 6.9738 Tf 6.2267 0 Td[(1)]TJ/F8 9.9626 Tf 4.4694 -3.6154 Td[(\051.)]TJ/F40 9.9626 Tf -206.2286 -11.9551 Td[(work)]TJ/F19 9.9626 Tf 45.9708 0 Td[(typ)51(e)]TJ/F40 9.9626 Tf 18.0613 0 Td[(\050)]TJ/F19 9.9626 Tf 5.2303 0 Td[(kind)]TJ +/F8 9.9626 Tf 291.2656 372.0751 Td[(for)-333(d)1(e)-1(t)1(ails.)]TJ/F39 9.9626 Tf -160.486 -11.9551 Td[(trans)-1989(character\050len=1\051,)-525(optional,)-525(intent\050in\051.)]TJ/F8 9.9626 Tf 45.9708 -11.9552 Td[(If)]TJ/F39 9.9626 Tf 11.6988 0 Td[(trans)]TJ/F8 9.9626 Tf 31.2088 0 Td[(=)]TJ/F39 9.9626 Tf 12.8058 0 Td[('N','n')]TJ/F8 9.9626 Tf 41.6694 0 Td[(th)1(e)-1(n)]TJ/F11 9.9626 Tf 24.4289 0 Td[(op)]TJ/F8 9.9626 Tf 9.8416 0 Td[(\050)]TJ/F11 9.9626 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1.0 +%%CreationDate: 1991 Aug 20 16:46:24 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.00B) readonly def +/version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMTT10) readonly def +/FullName (CMTT9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def -/FontName /UHJIJM+CMTT10 def +/FontName /VBPJYW+CMTT9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 33 /exclam put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put -dup 42 /asterisk put dup 44 /comma put +dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put +dup 50 /two put +dup 51 /three put dup 52 /four put -dup 57 /nine put +dup 53 /five put +dup 56 /eight put dup 58 /colon put +dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put +dup 70 /F put dup 71 /G put +dup 72 /H put dup 73 /I put dup 74 /J put +dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put +dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put +dup 85 /U put +dup 86 /V put +dup 87 /W put +dup 88 /X put +dup 89 /Y put dup 95 /underscore put +dup 96 /quoteleft put dup 97 /a put dup 98 /b put dup 99 /c put @@ -6031,6 +6598,7 @@ dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put +dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put @@ -6040,50 +6608,56 @@ dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put -dup 126 /asciitilde put readonly def -/FontBBox{-4 -235 731 800}readonly def +/FontBBox{-6 -233 542 698}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_c2Bطj=-8\Dg݌] /%bԺnٻڿSy b*L(9sWF R:EMksH02E?Oe+Z'zK΃оif <,EDNZ|J#BW3ϗMp(%5%~(5Bk}Aj c'S-8*!iy$G.w g J0nr -;଍ Kr^ox7p4= CyO#y[49'n*xx/J}o֯p6Oޏe}hà1W6Ϋ%(i]Ii -텴""b3=5sJzbJ>[Wе H 2"ێ0Oy9.t:=$EǪ ]to`% -'EKKfrRK^y`vO^v~ZwR iNMW3HSp+T,q!s0(ع;U+3"J8q3dJ`77+IuؿhH<=!'T́2.r% -v y*S\L$r)Xm!UgWyD3y#<+iYPo+e=a.q%B )z=v"1); t Zğ7Lt.q A;0Y!OX w~e!KqJ -o۰;Z8g&.,0(Url4$O̤cm-$SZE"0xX5gpq}R9bpIqUbNZBE 'Lz{':`e`B4c7,!P{b}z7Ka8ᵁY:Oy NA!ﵗmS8T[:C=dFn98VP[AkSJXѓv'^v[Fh ~u~ѯ2iϣPK9?3=ڗLɀ $jcg yJN.מ*EATbS`">G<],"h "/ٵ5$L+wCX6OC3wwkfԒA!X8;ls Rj+/m D#|io)(eXB! - ϐH+$*Jkr#}V b PfBùRvY4WI\*ѿޜ,9ce)" 2'rCAo=RZFYQƣc`ޡ`Wm -)&Z{_6;68bП9Wy |脓'J5Ωw-l8>|qudQ^GE{yu+8kf^&9CWH -%5{'뭩 TD@-6/O&;?^4̼-<}ۓ8%r0-c -bK:l[Xg?; {y c]K[{թ{~lx uG@" #@GC¹G^ٜVF$h4=`?գ S,مJjuOqQw3rނ'}`Yl!pa!xEr@gםNQX1n -[2 -b'mjC)bp,3h0l WDiNfY$D6-eh8."r Sxȳ[@>ܫl ( :<;GͰFv>tE}xB;*$P3+愖@>~n91(G,]4 1KͶ,;k3/d|Q螢gT ؔoQƍdZ=XlV|/Q )$ djQBM^v%TxB%=-Bi۠9 ->U޽I!D)k]5#pے 4u~E&̲<]hMZf>le86D.O -j4c/?3r2]Ըd284\`cf{yJU^RmZŁ8?q!nnadǕMc甶ۉ2~=L z,[+CqCk\\({uLÑ>`‚&sy` W6kS -<"kq ms>|`e f֟J+c4w0xN,'a&+!Gz1&P "z*zh&U(EВ]UHiR0:|ʻ}:[F"Ly0#fT#st/g'% NTRPJKcRLxndDy*V!߽&YZEXWg3ޜ["伮L}G+h85W|W@* aɘnM_dP+ ot6 Gn&j@.n%SC NX(x{5& > )2'Ure%C"޾it˳٣.ƶ;qѾ6G[ī5ΝciJh71ǻBdCGkĭ!Q+;wleᖀ{6"Pru<y RY -pmz3Z8l*fuehlG^Ea$R^.e, Τ:wyPߎNp"snZwq|AȂW5 -d>%g )!F9 M>龺ފl?Ո*]VJq/cbYb銀H2[qۉNׇ#.Q%qsƷSDQh@nGTo(sLƬ[SjoZ:O<$1ӥgKP6jO6KV6)2YHQ>LRr5G-Atvg" "FfWuH \k?ͽat|B]%~XcA;Ƴk_ 7b0$YOls.}WŦ>s[+.*lvE1mƘ 9A%_)6w>жgwz\2Ccr$pZo 4(5%@s|m)|!W`(>oqs0A8bq°٤οMT~G!O^E4S4r{ Q7lWjEőImc:I -BƷ8l9ӊ^T4$&-]^ig{0 -6n+]MBghL(X\Xr,%^CSS/斪C{f": ~ǐoޭC9B+>Ţ/_'_ -d?bq -^v4y45.{0R=u2W?M.2 1]HW@(8 -j~VE0F^.(ǯkW1Di#$/b5F`6D:ISisd##\亯yjܺݬA|P,0ibl(#ʭ*J};^|8Z FaoIn+=ʮ@ uy_bUrr5/գ4WKwB8j*e㙒jm(M;#<:g95c!]xoJqUz>NX1IK`& x8^ޭ< 8wh%{keÇ޸ b&WΠOq"*CB[FeEҜ9&d -ǘ܇Pܟ6SMS )V$+V'ʒ{= Mƃ }Afj dץc3iggُtOl[*;4@r,K[z]s;jCVxw2Y(K\+bO:&ɷIZ5.QAkhYn΂@XGr,4ɔQI !x!v"M:UIw҆v0Yd F) Kf*X{m/q=Z+E*; s -cvǤ. LTh ƼGCBbBY4V'K!sGyhA)bg=:".=ǔ;.5bjȜP -/R{wtvdog͆a&ƊA3'H7H?(<0B SOw>{]v"s:/՗kIV Ԅg?6Qbjn$[̖$U]k *Y! h?28=a gRo5ڭh -{UAmbX֊nGsEV?J(R0?y@ɓ AΖsn5Az!g/‰md7 _yve]U߀CTHA)e,ЧU_@K",A1a{AI"ɧgv=F5e3 5rqJ]grU)JSFxIhF/RSpzcOT J*oɨbR`f]v9^A)FŕEɛ`I嶆榛(:5Hgzfb7`5||;[NF2X!D4];}+%NJmj-l1vϒq'A_W~2% %z٩L)6G<7 !w5ǝ~kU:r+9l`z3Ȳ oˬ2|Kw|UTU @͎J:BhmPvwj4 -pEѠ KBN+}ydj쪂AHYKNRU7 Ԥa,Rs 1GJlYr,j1Hglฃ"?V!P7d ):Ѐ|rK)ejH?T|"Yoq=p}z񘕍<2ckv(r&C驓hABRRk2n{q%h|&Uʌ#(2cp޻Nη[4=Ɨ ;J2HLɩ6do[ɪ߭ k͈71$ћxDS[g=p -f"O9n,.KB^]#Xԛ.0CS|m;i;Еo Zy!ڣ3*Pt(|o7R@Ts۷ `/i:\390ɱeOd>XoDG ;/NG_\"a,QvK3 o=H1_b-"xׯROH ŧ l+}E'6v,mq-:SV8( 'i˔O#|DMc;#{E-vFGE6x&I1|xQ,paha:EJ{mu}?h=OC~6|76n1=Lh}q 4hߐ~ݍmp(A3Q;Qz>;Ui] -C^"~-aS@"%s۱Ƃ'2wjGJϋS*"BM&J#]:20*,'W*Qs1ޥ.g UR HhLg@(Ʋǂ({u[KwVWTk Uڰ}Je-Pvk0]t )N H?)ɩX]vir40@TvafcP)8 r~f^Q(7pGq]ӎ7er6P%p/ cu>Nb'> Ҵq=c{u7Tg3PxK<4 +a% Bq٬ -E2'K]gywO1gA?z`B1UL㠒׭ FÜ$~40\v1/ѵ74UzV@N|:^{UVpEV%M,{TVwjy(Z:f4 eŏ\2ڰUX_ӋD~2t:P/>h/3eٯ]HM|W䘥"`(,E5 %dhw(hw<=Kx%GBa[\4wQ;z˓GKiuO߳"79 UJn p R::0000000000000000000000000000000000000000000000000000000000000000 +oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_c2Bطj=-)1_]X` Y{nn9׫/uye );9*fHHK-\rБkg\5&(G<`J7dhn)Zl득52 Z$نa#q13@H;+G"1L(seER ;ԱJo"BFKkv/ ֈpZCޯ*@;db s*Mm~4]꽺\Qߍ):۞3#˂3u?O+|mMۉfH21C2/AHw;u&~#V=@Ņ*Ft@*(s9)UdƁF!;ŭ$r)_e_LRXJ*'*|o+ _|flWU6yM`MFPzXktw_K16PgjmKő}WBWZ$%-n`7SM~NZҺ};#Q7;il07^1*wWi2-Bȓ +9ҙgtvO#!QAoGem9dk0a_ Lel=!R(Ɵpa L#߯|X4SA[/d*R +p5[3;"n viҬbôG\:1PEts4sz]k +0}=P)RAjwS{>Hb 71mYSA9&pCs`)?3.ɀ=4fI@j{pxFU+0-MnWf%)5w`yon,}=Y6[h>W} ІK'-ʢ*3R}+LYD]'B3塰뺽 `KihטN|IrWO~HÐ:j.f -|`1Q` MaNUjLYn +A_( էĔ}$^,lkӧ )^{ 6 J]e)d,1` ` ŊDIQQ()^>IHntzcOΎřv[?071GCF SO'>Q4H]˦Gxwp7EAeh3] 2T5){@Zg3+!UV)TLzduQ{ JҧG9=75>NS3 B,Y.U45Z,Q̫wu6BȬ|R]8QdE Z<1:{-Pz?墣7{8fjV܂jU-Z7ՏiN"_τ XA~m*(QǤ}oңQ!9W$ͶjaQA4,2ܟ)J[Kh&شAc]0@9^u*SG[pWz`6d4vʣ642*DF>Ex'Dz,#x޲͋gD4yRfȢ٢^gzsm/3Vbݍe+5G*[V_N9>թI^C okr&oëo #\:LUnϻ)F/c<I?Z۠0=ӗ4CÝE3 IpB0oᔕ4;3>|T#pVvJ,QqaO9m{ɋ@32HD(КZ$:#vaUb0kmW+f멳LcVAQ^G70w2FA-yô[w;E>ډC@D';EH RxޔLd7/1勇 Ŗ{l]EV&M{whIgI˝TIQz%$L$MfO 46Hg롎Q$ Zߨ37rix*V$7`"vE5lp`rROj4״עJpMN[eWHab&Ew6hEI_K}.4YJXOŠSҐ + ч1 t瓁1$'S]rF+hVcá~'jt11L #DFV +vqN +˜v9NVgxao)9;ڜٰ3ݴ_ kg^tT&n?یQ+V]۱[܉Hvv  3@J?~oXS Mt$IUbg*.aTlpb,(# Q4z1uB;FG< 7(sU^y9ߚIxy}Y2oz +NQ/VnsLZsn`u{*t XR7.tlGT좷|8bU1axDz,"jjUoo! =a4 |Ftlku"tPd†Bs6DcJMʦ |`1h`p-LF&H3HDL/8U"ZusU֤'iQkxdQQ=^H-׹_QV)&15F44/5<~v-:vh/^W#|]eIPSLs .9f Uo&.nN)1`kD;!P60X/bl!Aߑ;Ah!fE{jB: +6,k˶yGȃp zL_ A-72l*!# ?U6GNỶ^.;&"9yaROjst:\ +IYTw J8'ͯPj0MgQ+s:ȌO$scR9s5p'?ǭ¬8-my{v`%}bb$zYmw"ӽlͦDgǣ@#:ה0i֒[K)C22ygr"K 蹾s5vU.$ .b^V҇ʳ nT_eme>Q Z+cO*:wv*Ms[d<= +$zgJq망 /?)ˎ⌌]並_{>DjOuID=),I7GjQenqM]uӕ ̜@*kT"dRNksC%W\ug0-6 +2n1,۔p51hY.z$/AB zVeuC>)rq/9#o׹qJC<.\ZK0=.^;xթ#m"m36𞮭#٫Sib_9a>6t&XQsJU_ vi=0=m`Хɔx|ڳEoÏ47X:~Y +Th/sTAq}OCp'~K kZ62g3^&Q/1}6 ;6U+kWd4ޙ/5¥'-MDݦBÁ|pPf'fVv)}O7~)բ ^8})j4+ ]Y|\6K6q(g.SV]p9BHa~ӄ*J_]Z,l4Z”dF皎#w"fXTZY?%;?Jxj5m>9d-(`pǞUJ$ +"v_ҫS7={j }L[#ŞNBKIf0>uky׾U7d(?8l h_BNVdLh: Y0տHpSDzeYL`Pid8Jwh'[/!P8O>.RF`bkjgO!ν)BEdP-xf La/v,g Ga2 $򜁔Vr*vH $ҰOĘZUݤIhu t`- +l%-}^~ +q$;Sd&/]}LU +\2^~H3 SP5m3Ȱ] s3wVX,Ͽ{QukRBaô]3OI6d@d7Lw `R3 nЌ4 +Yl,"}G!AQ\'LPP7ҸNG5mG鹆 <*`/?ŭVgv+xiҦ^5m ҇OYW3U'zA +ѐOH[,cFw9~k93u[p [luɛ<'gun gnnXfTQs8cNH{k zcMwC'jx{baeCU)Hb3{ƮjR(4W`E?Af9f8S"~d,c)_9b[0s*wVғ5YeJ2fI(uytycCTo>2`rzDT^!37LFǿ#+ &@J|Ϣuvk9 8NL V&ZyEK 71DMۼY~?yqE߮lwEN 3z[3Uez=Lu'QI/WK & %5cn[* ˕o(n$ hnPDvs^'r8'"Ns/3FӋ:.vuOHYR5?_x8JaTES&,(nʢH, Q(](f%HLhdoHE'!IP}xZH; -`U3~x#0-ѤsgA2s\;3PDň7^2X#|l +wkjCQSMkEEDܴh&PaBzx0U IiuMvFeWDB +vSW!ɩYW!MVj84-cg)3 .uC$E_Q2fB':5=܎%GLʟs:peJ<p)74v>?<:=Kή[l7 }ޅb7,"M.ĵaoPhm^asmQ<61?^zyryeP';o=lz*:}vwBb|VZIlX]z +*̠IZ#yʘ+OKSK kJXA+"ZSؘD&k>6BNV!qBM<;^0d#v50xcSk.k@G5ӧ>kwmG|iBy6ueuL0KVv߲߰BO\`ø+٢.Z7 P9쾘FY&ٯG~_!q`A٢@`xX^/?y ?[$HJ.js%,{9bL 1AN}ݑ8p_M:mN=L`Zw#LNFk8\Ph$븧oO7Y5,;u(ph jߥ^*q;m>ً܉BG[kYq[] Ci Toš]?>~DVt^;24tK:XQN0O`{CA +N |\'QTKNzL!=?d)k<@tI2EWi~5W3>0t 3S|.ǷiϋTnՏ[.l9{fY&W^FW<K~hT  ¢j4lp0$Px5L +Y^91V^9kלFa\ vxV a\z/<@tSM¶ UME,4| f[4/NqI87-=T5%('dU[w4 ?!v|RB#CӚPee >#5rMRŏA +XO>΁lCWԻq4 )]Mq)ytyQew=wԬ,yL&^)1 4wBX-ͨ~)Ձk ]c2w* 791ơJPZX{x-Ҩ+'Bg;:TuKv)KoR |@"xZP>Fbd &¦;5dNTS3\Ep6 2͹@w(NP}@@ .IL*"O8u 2k'%lIpu@t3v +ƾerCE=_,e.ɺb`lC'yyFiM` 1C ʕ띥>D鿌ɡ<0\ik%iPNhؒRboNJ1I{¤UFpF QE_V/x_nf]E Iugi:iac(Dv}=mN=!קV3O$B<3L HUۡ9fבY<ӱ_ +9`*ѽ *#!Cg'Z=u;å'x5F(ф ``4Koa.ѳp'xAvv$7(Lc6өfɧ@7U(lq)"hcaa@ybsHsVb,*v R:k5gxGjzMA"l7_Xkrj5Y ̢YюlZmP|._ɟ"td̉SXz.6cx70[{oHߎ-sݩ4!'=J5uc&6. x%N0֗bA:W7`Bqs`5QO=O3U }Ua=f +8'ZaE nĵn_ P`Qy/Pٗg!鼶nQj7;2Dx mɴ_3MD푂W@7A7T^'j4XÒڡUxfyzӔ^+?dy&.ܻdy=K-yIZ/(]'7E@m;W-(w ?'Z4E5q,!h G` 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -6094,107 +6668,92 @@ p cleartomark endstream endobj -175 0 obj << +235 0 obj << /Type /Font /Subtype /Type1 -/Encoding 343 0 R -/FirstChar 39 -/LastChar 126 -/Widths 344 0 R -/BaseFont /UHJIJM+CMTT10 -/FontDescriptor 173 0 R +/Encoding 362 0 R +/FirstChar 33 +/LastChar 122 +/Widths 363 0 R +/BaseFont /VBPJYW+CMTT9 +/FontDescriptor 233 0 R >> endobj -173 0 obj << +233 0 obj << /Ascent 611 /CapHeight 611 /Descent -222 -/FontName /UHJIJM+CMTT10 +/FontName /VBPJYW+CMTT9 /ItalicAngle 0 -/StemV 69 +/StemV 74 /XHeight 431 -/FontBBox [-4 -235 731 800] +/FontBBox [-6 -233 542 698] /Flags 4 -/CharSet (/quoteright/parenleft/parenright/asterisk/comma/period/slash/zero/one/four/nine/colon/equal/A/B/C/D/E/G/I/J/L/M/N/O/P/R/S/T/underscore/a/b/c/d/e/f/g/h/i/k/l/m/n/o/p/r/s/t/u/v/w/x/y/z/asciitilde) -/FontFile 174 0 R +/CharSet (/exclam/quoteright/parenleft/parenright/comma/hyphen/period/slash/zero/one/two/three/four/five/eight/colon/semicolon/equal/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/underscore/quoteleft/a/b/c/d/e/f/g/h/i/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z) +/FontFile 234 0 R >> endobj -344 0 obj -[525 525 525 525 0 525 0 525 525 525 525 0 0 525 0 0 0 0 525 525 0 0 525 0 0 0 525 525 525 525 525 0 525 0 525 525 0 525 525 525 525 525 0 525 525 525 0 0 0 0 0 0 0 0 0 0 525 0 525 525 525 525 525 525 525 525 525 0 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 0 0 0 525 ] +363 0 obj +[525 0 0 0 0 0 525 525 525 0 0 525 525 525 525 525 525 525 525 525 525 0 0 525 0 525 525 0 525 0 0 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 0 0 525 525 525 525 525 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 ] endobj -343 0 obj << +362 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 39/quoteright/parenleft/parenright/asterisk 43/.notdef 44/comma 45/.notdef 46/period/slash/zero/one 50/.notdef 52/four 53/.notdef 57/nine/colon 59/.notdef 61/equal 62/.notdef 65/A/B/C/D/E 70/.notdef 71/G 72/.notdef 73/I/J 75/.notdef 76/L/M/N/O/P 81/.notdef 82/R/S/T 85/.notdef 95/underscore 96/.notdef 97/a/b/c/d/e/f/g/h/i 106/.notdef 107/k/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w/x/y/z 123/.notdef 126/asciitilde 127/.notdef] +/Differences [ 0 /.notdef 33/exclam 34/.notdef 39/quoteright/parenleft/parenright 42/.notdef 44/comma/hyphen/period/slash/zero/one/two/three/four/five 54/.notdef 56/eight 57/.notdef 58/colon/semicolon 60/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y 90/.notdef 95/underscore/quoteleft/a/b/c/d/e/f/g/h/i 106/.notdef 107/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef] >> endobj -160 0 obj << -/Length1 1824 -/Length2 10700 +180 0 obj << +/Length1 1577 +/Length2 9235 /Length3 532 -/Length 13056 +/Length 11344 >> stream -%!PS-AdobeFont-1.1: CMTT9 1.0 -%%CreationDate: 1991 Aug 20 16:46:24 +%!PS-AdobeFont-1.1: CMTT10 1.00B +%%CreationDate: 1992 Apr 26 10:42:42 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.0) readonly def +/version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMTT9) readonly def +/FullName (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def -/FontName /XAYTIU+CMTT9 def +/FontName /LAGMKM+CMTT10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for -dup 33 /exclam put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put +dup 42 /asterisk put dup 44 /comma put -dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put -dup 50 /two put -dup 51 /three put dup 52 /four put -dup 53 /five put -dup 56 /eight put +dup 57 /nine put dup 58 /colon put -dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put -dup 70 /F put dup 71 /G put -dup 72 /H put dup 73 /I put dup 74 /J put -dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put -dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put -dup 85 /U put -dup 86 /V put -dup 87 /W put -dup 88 /X put -dup 89 /Y put dup 95 /underscore put -dup 96 /quoteleft put dup 97 /a put dup 98 /b put dup 99 /c put @@ -6210,7 +6769,6 @@ dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put -dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put @@ -6221,55 +6779,42 @@ dup 120 /x put dup 121 /y put dup 122 /z put readonly def -/FontBBox{-6 -233 542 698}readonly def +/FontBBox{-4 -235 731 800}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_c2Bطj=-)1_]X` Y{nn9׫/uye );9*fHHK-\rБkg\5&(G<`J7dhn)Zl득52 Z$نa#q13@H;+G"1L(seER ;ԱJo"BFKkv/ ֈpZCޯ*@;db s*Mm~4]꽺\Qߍ):۞3#˂3u?O+|mMۉfH21C2/AHw;u&~#V=@Ņ*Ft@*(s9)UdƁF!;ŭ$r)_e_LRXJ*'*|o+ _|flWU6yM`MFPzXktw_K16PgjmKő}WBWZ$%-n`7SM~NZҺ};#Q7;il07^1*wWi2-Bȓ -9ҙgtvO#!QAoGem9dk0a_ Lel=!R(Ɵpa L#߯|X4SA[/d*R -p5[3;"n viҬbôG\:1PEts4sz]k -0}=P)RAjwS{>Hb 71mYSA9&pCs`)?3.ɀ=4fI@j{pxFU+0-MnWf%)5w`yon,}=Y6[h>W} ІK'-ʢ*3R}+LYD]'B3塰뺽 `KihטN|IrWO~HÐ:j.f -|`1Q` MaNUjLYn -A_( էĔ}$^,lkӧ )^{ 6 J]e)d,1` ` ŊDIQQ()^>IHntzcOΎřv[?071GCF SO'>Q4H]˦Gxwp7EAeh3] 2T5){@Zg3+!UV)TLzduQ{ JҧG9=75>NS3 B,Y.U45Z,Q̫wu6BȬ|R]8QdE Z<1:{-Pz?墣7{8fjV܂jU-Z7ՏiN"_τ XA~m*(QǤ}oңQ!9W$ͶjaQA4,2ܟ)J[Kh&شAc]0@9^u*SG[pWz`6d4vʣ642*DF>Ex'Dz,#x޲͋gD4yRfȢ٢^gzsm/3Vbݍe+5G*[V_N9>թI^C okr&oëo #\:LUnϻ)F/c<I?Z۠0=ӗ4CÝE3 IpB0oᔕ4;3>|T#pVvJ,QqaO9m{ɋ@32HD(КZ$:#vaUb0kmW+f멳LcVAQ^G70w2FA-yô[w;E>ډC@D';EH RxޔLd7/1勇 Ŗ{l]EV&M{whIgI˝TIQz%$L$MfO 46Hg롎Q$ Zߨ37rix*V$7`"vE5lp`rROj4״עJpMN[eWHab&Ew6hEI_K}.4YJXOŠSҐ - ч1 t瓁1$'S]rF+hVcá~'jt11L #DFV -vqN -˜v9NVgxao)9;ڜٰ3ݴ_ kg^tT&n?یQ+V]۱[܉Hvv  3@J?~oXS Mt$IUbg*.aTlpb,(# Q4z1uB;FG< 7(sU^y9ߚIxy}Y2oz -NQ/VnsLZsn`u{*t XR7.tlGT좷|8bU1axDz,"jjUoo! =a4 |Ftlku"tPd†Bs6DcJMʦ |`1h`p-LF&H3HDL/8U"ZusU֤'iQkxdQQ=^H-׹_QV)&15F44/5<~v-:vh/^W#|]eIPSLs .9f Uo&.nN)1`kD;!P60X/bl!Aߑ;Ah!fE{jB: -6,k˶yGȃp zL_ A-72l*!# ?U6GNỶ^.;&"9yaROjst:\ -IYTw J8'ͯPj0MgQ+s:ȌO$scR9s5p'?ǭ¬8-my{v`%}bb$zYmw"ӽlͦDgǣ@#:ה0i֒[K)C22ygr"K 蹾s5vU.$ .b^V҇ʳ nT_eme>Q Z+cO*:wv*Ms[d<= -$zgJq망 /?)ˎ⌌]並_{>DjOuID=),I7GjQenqM]uӕ ̜@*kT"dRNksC%W\ug0-6 -2n1,۔p51hY.z$/AB zVeuC>)rq/9#o׹qJC<.\ZK0=.^;xթ#m"m36𞮭#٫Sib_9a>6t&XQsJU_ vi=0=m`Хɔx|ڳEoÏ47X:~Y -Th/sTAq}OCp'~K kZ62g3^&Q/1}6 ;6U+kWd4ޙ/5¥'-MDݦBÁ|pPf'fVv)}O7~)բ ^8})j4+ ]Y|\6K6q(g.SV]p9BHa~ӄ*J_]Z,l4Z”dF皎#w"fXTZY?%;?Jxj5m>9d-(`pǞUJ$ -"v_ҫS7={j }L[#ŞNBKIf0>uky׾U7d(?8l h_BNVdLh: Y0տHpSDzeYL`Pid8Jwh'[/!P8O>.RF`bkjgO!ν)BEdP-xf La/v,g Ga2 $򜁔Vr*vH $ҰOĘZUݤIhu t`- -l%-}^~ -q$;Sd&/]}LU -\2^~H3 SP5m3Ȱ] s3wVX,Ͽ{QukRBaô]3OI6d@d7Lw `R3 nЌ4 -Yl,"}G!AQ\'LPP7ҸNG5mG鹆 <*`/?ŭVgv+xiҦ^5m ҇OYW3U'zA -ѐOH[,cFw9~k93u[p [luɛ<'gun gnnXfTQs8cNH{k zcMwC'jx{baeCU)Hb3{ƮjR(4W`E?Af9f8S"~d,c)_9b[0s*wVғ5YeJ2fI(uytycCTo>2`rzDT^!37LFǿ#+ &@J|Ϣuvk9 8NL V&ZyEK 71DMۼY~?yqE߮lwEN 3z[3Uez=Lu'QI/WK & %5cn[* ˕o(n$ hnPDvs^'r8'"Ns/3FӋ:.vuOHYR5?_x8JaTES&,(nʢH, Q(](f%HLhdoHE'!IP}xZH; -`U3~x#0-ѤsgA2s\;3PDň7^2X#|l -wkjCQSMkEEDܴh&PaBzx0U IiuMvFeWDB -vSW!ɩYW!MVj84-cg)3 .uC$E_Q2fB':5=܎%GLʟs:peJ<p)74v>?<:=Kή[l7 }ޅb7,"M.ĵaoPhm^asmQ<61?^zyryeP';o=lz*:}vwBb|VZIlX]z -*̠IZ#yʘ+OKSK kJXA+"ZSؘD&k>6BNV!qBM<;^0d#v50xcSk.k@G5ӧ>kwmG|iBy6ueuL0KVv߲߰BO\`ø+٢.Z7 P9쾘FY&ٯG~_!q`A٢@`xX^/?y ?[$HJ.js%,{9bL 1AN}ݑ8p_M:mN=L`Zw#LNFk8\Ph$븧oO7Y5,;u(ph jߥ^*q;m>ً܉BG[kYq[] Ci Toš]?>~DVt^;24tK:XQN0O`{CA -N |\'QTKNzL!=?d)k<@tI2EWi~5W3>0t 3S|.ǷiϋTnՏ[.l9{fY&W^FW<K~hT  ¢j4lp0$Px5L -Y^91V^9kלFa\ vxV a\z/<@tSM¶ UME,4| f[4/NqI87-=T5%('dU[w4 ?!v|RB#CӚPee >#5rMRŏA -XO>΁lCWԻq4 )]Mq)ytyQew=wԬ,yL&^)1 4wBX-ͨ~)Ձk ]c2w* 791ơJPZX{x-Ҩ+'Bg;:TuKv)KoR |@"xZP>Fbd &¦;5dNTS3\Ep6 2͹@w(NP}@@ .IL*"O8u 2k'%lIpu@t3v -ƾerCE=_,e.ɺb`lC'yyFiM` 1C ʕ띥>D鿌ɡ<0\ik%iPNhؒRboNJ1I{¤UFpF QE_V/x_nf]E Iugi:iac(Dv}=mN=!קV3O$B<3L HUۡ9fבY<ӱ_ -9`*ѽ *#!Cg'Z=u;å'x5F(ф ``4Koa.ѳp'xAvv$7(Lc6өfɧ@7U(lq)"hcaa@ybsHsVb,*v R:k5gxGjzMA"l7_Xkrj5Y ̢YюlZmP|._ɟ"td̉SXz.6cx70[{oHߎ-sݩ4!'=J5uc&6. x%N0֗bA:W7`Bqs`5QO=O3U }Ua=f -8'ZaE nĵn_ P`Qy/Pٗg!鼶nQj7;2Dx mɴ_3MD푂W@7A7T^'j4XÒڡUxfyzӔ^+?dy&.ܻdy=K-yIZ/(]'7E@m;W-(w ?'Z4E5q,!h G` 0000000000000000000000000000000000000000000000000000000000000000 +oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_c2Bطj=-8\Dg݌] /%bԺnٻڿSy b*L(9sWF R:EMksH02E?Oe+Z'zK΃оif <,EDNZ|J#BW3ϗMp(%5%~(5Bk}Aj c'S-8*!iy$G.w g J0nr +;଍ Kr^ox7p4= CyO#y[49'n*xx/J}o֯p6Oޏe}hà1W6Ϋ%(i]Ii +텴""b3=5sJzbJ>[Wе H 2"ێ0Oy9.t:=$EǪ ]to`% +'EKKfrRK^y`vO^v~ZwR iNMW3HSp+T,q!s0(ع;U+3"J8q3dJ`77+IuؿhH<=!'T́2.r% +v y*S\L$r)Xm!UgWyD3y#<+iYPo+e=a.q%B )z=v"1); t Zğ7Lt.q A;0Y!OX w~e!KqJ +o۰;Z8g&.,0(Url4$O̤cm-$SZE"0xX5gpq}R9bpIqUbNZBE 'Lz{':`e`B4c7,!P{b}z7Ka8ᵁY:Oy NA!ﵗmS8T[:C=dFn98VP[AkSJXѓv'^v[Fh ~u~ѯ2iϣPK9?3=ڗLɀ $jcg yJN.מ*EATbS`">G<],"h "/ٵ5$L+wCX6OC3wwkfԒA!X8;ls Rj+c3lu.x *@qjF.;,S/'59;x;Δ `WA>Ieh?uz2]h|4(I#~'L̵<(<֝êX_ UŨsf'?q4o2/" F ќ@ĀkMf.K.VfF]#NڜS_]gloյRG/Ks-꟔ Zc"t[~gdlv0=д,jDxD 5+FNw~[IiҪF띃oh3jtFo5BN(`r= W@Q2čA;vG^]cr`-s,U<݋FMڍo)quX qå[c%9LadA} MaPj +s:N2*!W 7VtQ԰9EK׼l@PV a-At·^+3 L tX@d>*@sdzG7:ss 8*+C=k==f\Ul|3?в06,3wÕ$(fs}*ZU.'WgnCl ܀ g A*Qo@؀NTщ[iBϞXQҖ9%EB]v]|huN[]] qוn')?M޿']I-XNfBـ7n%4Ů:(D@y7ULmif%7⾉ul{Hȧ+DOj +ztKJnqT㮍+u"\{θ(Rw]lӨyH_=g=p[.rb(t~ +𒎺xwwoXG睮ļJ#dΏſ1hPx-f"h.ǞE(5{@aJpʯ,Xn5z6ÍroT}I=ҍI:ʙԴP]ֽS'30\x;MQVg +DdغiX5$`DG"g nC.3{ u#LaLrREeqtnK(tqX̼|bŶ|=jJWN!|]i{*Vq0F\L)вYI߮(6dgOy:8,g0E=T˷uGO{2ݢ}z-&=Fۘ{KNM\u"2O邼i\UT̛ZF•wd@5k{H[)QJY4Fŗ +fed#A}}/QJxUF{lG +r/Ywc Q/+:[smNȴсТAjf*җn5Ш|]I%̞ɚҧEi{eB1rB`Bc SM<? 1)Smس *VB@Ti>ɓHS+KrhDփ(9ĭȎKge+Jz众̏``&/v5yc~A,1X*醃e@AZ-,- }G 1rhE> +ԊX5;bn~vAqEqMھ+fQp۫sG 歧Lh{Dlw0džR7#K?7ӵ8X;JGHB5A?S{tU/{-"'LL) yeFW%v>u'}ˊ@#bf?5kIfNv"@'gG}R,">l*!U=oט֐qA-?٠ɚcqs ?y|ʱ `ț%[^dw-U9}ö#|zjxji)p-iPdT0<%iihcX'R\g<+ĴU;Qy@n܀ik]\zeEԵ,*[ckJ/yo_L\>\_c7`Sb4`߰kC;)*μ ڧLHWbe ƈTOw/j?8SLֶ1PyszUxìJ WA)=IT1H+vP%9݁Zi +YysK4w #gPւ0hdVE~ͩnIrxrW GeT,Z/E/,]8!GD!Y>("߹*,&E ?bMI@7,"g56V1`cuCg=ʸՃUZNvh$܂:̦/l gokv($daOCZcؒynlũDy8>>,u]g9նD K ~۹I@$WDhmƂwO110:K;`eb& +%ȅ~ASд]I6ET֧݅4~uQ!$٫t]3>-ݖՀWɠmfu.č z<N{턷=- +#2&}b.*hJևGs~D$'}'bDVSN< \[ G7sP=V9@YbgCX{0XEPڼ_51̮GV\!h=>uO6 +䬦f[^:ө  H}vu4!Y'A(,F;jxBN]vuk86k)$yqJ^{hAڡjT_w[#:jک&eFi#ֽQRN`̃#䱁 hؽ*Vh$o5U0ߟ $ҎǓ9N+$wa \sG5#)x+tZvuvBxCg?40 Umnl8D~~0![AUM K^Jch[ł?,y& PFq4$o$ɰx#(.CPЉ,pznc($-[tΰ_ o#Dcg_(x6Ao:^LxGs0,x9ʦ(_򖯩`=LSgLviiaJݨZs]mS^Π:SbΞϦnhxtl761lFmty̙7+$MEӣ`T|C(%uCDeTxeεJ 3DWf%Rܦ˗-4s*/$oྋiz `PDts誜T/pXJP[2I,PȫuΕeP㎌1IBnT!1Rp tcIMsn N<'7+T B*IWNQLd_bG߀Y/o6vެ +@QBLh~r\yȢ9wПd:5 磎f +p5Ywu_ B#hƸ@TTs_Z~RGq fuMY+ZޜYz¸fcsFV[͞/.J?R ͙AB˝lDd1l٬ +!ѡ^[̓g-z֗cv_}ws +÷Z_lxe0[f WDZM_I,G~mncCMfUGd+%6W8^DԦRą>JQEd~@%5 Yi$K"٣ӈwՇ80j(o{6-NZIU"Yم#,xsZ;ƮRS1`ph]^k^^?DQ<(6Ү{+uj~:}+yD؜#mnVcs%Q:.h '7>S J+qI< 0dO*ur04١v1?K\aL2u+*ʥKIx٦ UBx6\y$:Қo9F(R2PA oEPn+̣1O^@;mͰ]0;-\p{9rr=>۔afaR]!iz,*%N2+0J}Xf]#>Gl2jIEA.$np@K0GR({+0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -6280,41 +6825,41 @@ Y cleartomark endstream endobj -161 0 obj << +181 0 obj << /Type /Font /Subtype /Type1 -/Encoding 345 0 R -/FirstChar 33 +/Encoding 364 0 R +/FirstChar 39 /LastChar 122 -/Widths 346 0 R -/BaseFont /XAYTIU+CMTT9 -/FontDescriptor 159 0 R +/Widths 365 0 R +/BaseFont /LAGMKM+CMTT10 +/FontDescriptor 179 0 R >> endobj -159 0 obj << +179 0 obj << /Ascent 611 /CapHeight 611 /Descent -222 -/FontName /XAYTIU+CMTT9 +/FontName /LAGMKM+CMTT10 /ItalicAngle 0 -/StemV 74 +/StemV 69 /XHeight 431 -/FontBBox [-6 -233 542 698] +/FontBBox [-4 -235 731 800] /Flags 4 -/CharSet (/exclam/quoteright/parenleft/parenright/comma/hyphen/period/slash/zero/one/two/three/four/five/eight/colon/semicolon/equal/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/underscore/quoteleft/a/b/c/d/e/f/g/h/i/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z) -/FontFile 160 0 R +/CharSet (/quoteright/parenleft/parenright/asterisk/comma/period/slash/zero/one/four/nine/colon/equal/A/B/C/D/E/G/I/J/L/M/N/O/P/R/S/T/underscore/a/b/c/d/e/f/g/h/i/k/l/m/n/o/p/r/s/t/u/v/w/x/y/z) +/FontFile 180 0 R >> endobj -346 0 obj -[525 0 0 0 0 0 525 525 525 0 0 525 525 525 525 525 525 525 525 525 525 0 0 525 0 525 525 0 525 0 0 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 0 0 525 525 525 525 525 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 ] +365 0 obj +[525 525 525 525 0 525 0 525 525 525 525 0 0 525 0 0 0 0 525 525 0 0 525 0 0 0 525 525 525 525 525 0 525 0 525 525 0 525 525 525 525 525 0 525 525 525 0 0 0 0 0 0 0 0 0 0 525 0 525 525 525 525 525 525 525 525 525 0 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 ] endobj -345 0 obj << +364 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 33/exclam 34/.notdef 39/quoteright/parenleft/parenright 42/.notdef 44/comma/hyphen/period/slash/zero/one/two/three/four/five 54/.notdef 56/eight 57/.notdef 58/colon/semicolon 60/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y 90/.notdef 95/underscore/quoteleft/a/b/c/d/e/f/g/h/i 106/.notdef 107/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef] +/Differences [ 0 /.notdef 39/quoteright/parenleft/parenright/asterisk 43/.notdef 44/comma 45/.notdef 46/period/slash/zero/one 50/.notdef 52/four 53/.notdef 57/nine/colon 59/.notdef 61/equal 62/.notdef 65/A/B/C/D/E 70/.notdef 71/G 72/.notdef 73/I/J 75/.notdef 76/L/M/N/O/P 81/.notdef 82/R/S/T 85/.notdef 95/underscore 96/.notdef 97/a/b/c/d/e/f/g/h/i 106/.notdef 107/k/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w/x/y/z 123/.notdef] >> endobj -138 0 obj << -/Length1 775 -/Length2 733 +144 0 obj << +/Length1 795 +/Length2 870 /Length3 532 -/Length 2040 +/Length 2197 >> stream %!PS-AdobeFont-1.1: CMSY10 1.0 @@ -6330,7 +6875,7 @@ stream /ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /ORHHJD+CMSY10 def +/FontName /XAIIYR+CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -6338,6 +6883,7 @@ end readonly def 0 1 255 {1 index exch /.notdef put} for dup 15 /bullet put dup 21 /greaterequal put +dup 50 /element put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end @@ -6345,9 +6891,8 @@ currentfile eexec oc;j~EЪ/ ȭX~id}S5Q!gtⵎkJc;rN^X5.Sy +'IqV:r㚉#,# dBZ *R*"7٨y=cLIPsF'f> ba ]fv+QAwdO[x"%Sx~{p҈덡|O BÄ/GL3h+Ng03jU1~akDzq=U}.KY碌 ֻ1?C N2Muh/4Gm |Q] -OaFދp6CQ`)H̡$W:D.*Ϥӷ~:g~凗b#i kp;/N p - 0000000000000000000000000000000000000000000000000000000000000000 +OaFދp1zJ,&YfN|K28lzJ4A.жf5ǚOfN(fNoFWR9[(l[+!L:LBMW_*5 +'o-ƂaM+Y&ۼ JO/i> endobj -137 0 obj << +143 0 obj << /Ascent 750 /CapHeight 683 /Descent -194 -/FontName /ORHHJD+CMSY10 +/FontName /XAIIYR+CMSY10 /ItalicAngle -14.035 /StemV 85 /XHeight 431 /FontBBox [-29 -960 1116 775] /Flags 4 -/CharSet (/bullet/greaterequal) -/FontFile 138 0 R +/CharSet (/bullet/greaterequal/element) +/FontFile 144 0 R >> endobj -348 0 obj -[500 0 0 0 0 0 778 ] +367 0 obj +[500 0 0 0 0 0 778 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 667 ] endobj -347 0 obj << +366 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 15/bullet 16/.notdef 21/greaterequal 22/.notdef] +/Differences [ 0 /.notdef 15/bullet 16/.notdef 21/greaterequal 22/.notdef 50/element 51/.notdef] >> endobj -135 0 obj << -/Length1 884 -/Length2 2915 +141 0 obj << +/Length1 937 +/Length2 3272 /Length3 532 -/Length 4331 +/Length 4741 >> stream %!PS-AdobeFont-1.1: CMMI10 1.100 @@ -6408,14 +6953,17 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /SJATMG+CMMI10 def +/FontName /YGJNPV+CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 58 /period put dup 59 /comma put +dup 62 /greater put dup 65 /A put +dup 68 /D put dup 77 /M put dup 98 /b put dup 111 /o put @@ -6432,12 +6980,22 @@ currentfile eexec ]LeVߐGoo٥\k 9Mՙ= 0)xf 1kX9JS:6V =!X>KM)9! I}HWIUcl=GeZm>nQk2=1p%R`%$]c{!W+8?v(+)0ӈ!YahtA?H @m?|M X9Հ֨#2 :m,MZ+ǒ\Ex9Yn<Ŀ2^FC[`T+ȬD]ǸFF$oB!>;A\T hxh|5:6;ϖUǷ6~k.T*{8K`y8'dT|-QkKmy9 91|Afr (K*)%_ʬtP`.rY?nrn{v2O_5;\g>R{4_ -: 9pEz~Gu E[n窙i9ヽu#=X&>@Q-2fT{0lY+%dm%dBag(MInǹpFt%V/~@6!tL:nS&Il*rH7d?ܡPZ=uۻ3MfM[S`fu(9yRπEؾgiQOo,≓ˁw!-V 9p짍/O; -·μ*X9/ZY~hX'"g5)JB'Js(v5LKe JNFruJW<.c44֦ʈ!׍̲o1/,tF6MR-- !^sDVuYKg.Em(@Y7W-7hZqh՜aQ}릈=m6S؇OȺB>-v۬ͷ=&#C*ʊ; Xe{m݋,Ex+\ңd[IS\5 j;ܽO}S[!g@T͌ɑj9`bjcT!']SP/3FWMKZSjW' F)u0(0G~a &/^t/_Il/[҇'?Hta E -Cn'qvYMҹL﨔.xmi _zزoKW0;W| Oj2sr"T_ؙ 5vT)fs '*deO)!fh9xx7y7¤uUAO.,I\!omFhğ:<@M F#n_&V@ihBT7@Q|!;g"dYuOg[cb]mI*H %Z::*HAoi[,MvZ!!uޅBQ!STouJ $ʼn`toR|6\+Mf fAWQ~a>W#O_,~5D9hpF5aA&Ȅ8셜 1^|IFGh~ɷgUx'ZqR-&Q>oi~.F^f2y6VqM lm>xub;GO`V7+CJpCjYoe3-+G߁K$P\}$ipqS~(̫Jղ}zG5Y! L$yk6wV"3ǩ Ceߌw|¼>[K{qa˨S׽ƽIkZ28$iވ.&dQ=3͓qm602''NUd:ӌwt7qhռè:EQjHƠK2#?e;55OE#9Dӱ^ -ٺ `63> -u„4}wyyxѳ۰-;ŠGNyrm H @[nPom3) |Y2%a]dt%"0wMF1siSLm!h]F[d)SݳXšV>eͷExrvw41?ytJql{4T)͞!g>*qgyogT|J+67R?$O*U55h{¿g0ߺPQRg73ג7[+e6~YHj\:xhd-wdN2]L)!w(-kQTITmY%S}ȸmjAUTLYγر.XY99`˕Ḇg5][d Y$ir)rrbz) {cP! ~z#](3C9h Sə+S+cnFϚX1PӯDE*cxhS֑P6uH3>~8nL.:>zN"o?zbsr fǵ^bT8T*$4; -"gas81UQY;k+ȵΤ8}'<Dcٓ=P;7)*j#:bI}39APnvCP_;>C1wA U)^"v-#-vwd;&=ESPa&s#' 9j,0000000000000000000000000000000000000000000000000000000000000000 +: 9pEz~Gu E[n窙i9ヽu#=X&>@Q-2fT{0lY+%dm%dBag(MInǹpFt%V/~@6!tL:nS&Il*rH7d?ܡPZ=uۻ3MfM[S`fu 30()_J]>`:I/e|oO*Wt5f$# UZ7)[Xt>1i S郮sY4"^z;^{&N 9^>2|6f˚JĸˬܒNC6Ahm!O/KA-%)BZI8ԣ;f0ب haA$۹r z[hq +}.qk!JŖxZ Fm#±ʗ+bt^-$qtbxe6p37Qc.EeQG=U\I +RzU_@BY.gpw|;3f؎n("U02"<9K73YX!z+bCPFp/0hX43GE}F +Jv)9i!L_`3\+Nqhfcڕ6i*77޻fnu e,Kc:;(7}b:JzunufkIT%\;ﻩ${,Uoh +|>W>tǐ]űhH'S3*wwO||-4 ^oDYf{[C}x ;m,坍wCZO>ONW;ӭBh.Qi7KH+x>tR.eoay7rƁ(EP9zzτE< ~M) FA8[ʹKY +?1N/1VFUĮ^qF#ѡSvWN. Pg +7 6q@,TC`Pe+`Ww^h + Er!H3zQS+ps 3Ek5Bgձ>k)}2zN j՗`)2 +CA(^lAv:uTA/Tk?MttX&\h>%(QI}t {fa0@8 ƽq[uKIf=VߎH?wMD*igz/g_$D;4˯!5zTj{fۅ!lQA3d12$l%"d +N{8j|c[AQn+%ݕj +ڞŭ%ax:O@MB&@ d"#t`τ~̳A'(A;+Y~ܪ +`mMRC Ad`ݴ-w$cwCKҙRy~t5Fk&|kR۹*${ΐWFEݎae}O(elY*Ɗj-\-.do,IZligbS $!&#;z.qaޱAE2ҳJ4P&1|-5rS&*0m/ztfD|ϭA$IROS,G!AeԱ>3_,8I?ZpjyA rF$FY5ۅmWn߁OSI* FVC*jT(_lS +O6AOה$7޲"|DM-`3vT0|~G,{hn_$;dH)3•34=rI!^J]}~m4<2,RЋ߿x@e|tG6n ;jsZasȲ{R%C ?}la\~"XyM4( +Hu!O ;3fMPG3:2"-S?Af^&eg\7Yη7N>WZeu:O& GRHr[B (H(EzM7 7*L%/P[\]Ky*H7(?G8?&<5| lhVI+"R*A0 SGY%"DX +ؓnhXF-B9d 5/u$|(7=08 msǸ;!}|KpS<,l9?s:|v+ˡ(n.1ћ}/꽱a054Y:ݜdL<ioeu$O!T Dylk:Pd XG?SD?,a>nάǷݧ;ǟ'1n3ć=uXE[%4js_r8-& `eӌ*D%] +ը%Չtf$PȨl~߾9 5K" +͋0(XkiN\õu&EފKj$d@W}1Zdo0xfɌ0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -6448,41 +7006,41 @@ u cleartomark endstream endobj -136 0 obj << +142 0 obj << /Type /Font /Subtype /Type1 -/Encoding 349 0 R -/FirstChar 59 +/Encoding 368 0 R +/FirstChar 58 /LastChar 121 -/Widths 350 0 R -/BaseFont /SJATMG+CMMI10 -/FontDescriptor 134 0 R +/Widths 369 0 R +/BaseFont /YGJNPV+CMMI10 +/FontDescriptor 140 0 R >> endobj -134 0 obj << +140 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /SJATMG+CMMI10 +/FontName /YGJNPV+CMMI10 /ItalicAngle -14.04 /StemV 72 /XHeight 431 /FontBBox [-32 -250 1048 750] /Flags 4 -/CharSet (/comma/A/M/b/o/p/v/w/x/y) -/FontFile 135 0 R +/CharSet (/period/comma/greater/A/D/M/b/o/p/v/w/x/y) +/FontFile 141 0 R >> endobj -350 0 obj -[278 0 0 0 0 0 750 0 0 0 0 0 0 0 0 0 0 0 970 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 429 0 0 0 0 0 0 0 0 0 0 0 0 485 503 0 0 0 0 0 485 716 572 490 ] +369 0 obj +[278 278 0 0 778 0 0 750 0 0 828 0 0 0 0 0 0 0 0 970 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 429 0 0 0 0 0 0 0 0 0 0 0 0 485 503 0 0 0 0 0 485 716 572 490 ] endobj -349 0 obj << +368 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 59/comma 60/.notdef 65/A 66/.notdef 77/M 78/.notdef 98/b 99/.notdef 111/o/p 113/.notdef 118/v/w/x/y 122/.notdef] +/Differences [ 0 /.notdef 58/period/comma 60/.notdef 62/greater 63/.notdef 65/A 66/.notdef 68/D 69/.notdef 77/M 78/.notdef 98/b 99/.notdef 111/o/p 113/.notdef 118/v/w/x/y 122/.notdef] >> endobj -131 0 obj << +136 0 obj << /Length1 1679 -/Length2 13285 +/Length2 13538 /Length3 532 -/Length 15496 +/Length 15749 >> stream %!PS-AdobeFont-1.1: CMTI10 1.00B @@ -6498,7 +7056,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /MJDQGI+CMTI10 def +/FontName /MNPMVZ+CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -6512,12 +7070,12 @@ dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put -dup 47 /slash put -dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put +dup 52 /four put dup 53 /five put +dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 65 /A put @@ -6531,7 +7089,6 @@ dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put -dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put @@ -6539,6 +7096,7 @@ dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put +dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put @@ -6584,58 +7142,39 @@ pk2 T(+vQS~QԵa>쥱4ss J2mP.7L&]=(eZNnz9،&!gE1+( +g ;v&QBF@H;!3Sj`XzcXf;ka:̗4hSoHNʌ!.lѠ|Ғ#>EcHRcz&퉕AD:_$O &? 8v.s^Vg˭8*3_ *Ĕ005p!t@8cIY[>CinnE%4ޛ*]3eO IyUL4K&cѢCc I0Z+mm9A}PQC"#g0"k !c&i:xphrA=0)G605TMK2ia"6J?TՃ6yAKxCٽ@|N֤}~} ;PU?^:N1v&іg^25xMwu>2ivmpw x!^!s6dIVx96Yɪ:`e:\yڙjeG}! 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+133 0 obj << +/Length1 1281 +/Length2 7652 /Length3 532 -/Length 4251 +/Length 9465 >> stream %!PS-AdobeFont-1.1: CMSL10 1.0 @@ -6696,23 +7235,49 @@ stream /ItalicAngle -9.46 def /isFixedPitch false def end readonly def -/FontName /APHGQH+CMSL10 def +/FontName /KZCKJB+CMSL10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for +dup 12 /fi put dup 49 /one put +dup 50 /two put +dup 51 /three put +dup 52 /four put +dup 53 /five put +dup 54 /six put +dup 65 /A put +dup 66 /B put +dup 67 /C put +dup 69 /E put dup 71 /G put +dup 73 /I put +dup 76 /L put +dup 78 /N put dup 79 /O put +dup 85 /U put dup 97 /a put +dup 98 /b put +dup 99 /c put +dup 100 /d put dup 101 /e put +dup 102 /f put +dup 103 /g put +dup 104 /h put dup 105 /i put dup 108 /l put dup 110 /n put +dup 111 /o put +dup 112 /p put dup 114 /r put +dup 115 /s put +dup 116 /t put +dup 117 /u put dup 118 /v put dup 119 /w put +dup 121 /y put readonly def /FontBBox{-62 -250 1123 750}readonly def currentdict end @@ -6723,14 +7288,44 @@ currentfile eexec ߋb >N:u񳻶o =;xT+gW+"0qXٲ"lCpXǹSٵ˪\Y圃ۭȺ7NR >DrɍW*-E Gÿ#9ѳ[BRkO|~OgrVKq|媞ڵ1|@5$ccD2'}}]^C]a\;^v|[Skz 2WM} o/Pp)t7P^ q -L [.DRܠK;v=|GύG{m fMGJ4[5h+s.*KLp:ٯø`Z~Mݪ E< AҷwMJ  '-lBdOGlaڅ@ v8x]!͒ =ނf8:|9BxEdDs rx;i6=YS}Y:'&sf?Mk)%u+ -ƣ*Ǫ+Z'( 8Mf|J'Pr\ }ZVQeLEv'i.ua91))EPiFeǼq#sbv{o3QЍpC4*shH:UkbvV'8(nj -zyxFz"6D@j=Nn[@\ջuQE iZnDp/Pe~$'Qi IT=PςάZ]Q~)- 0(5>cs" ICvVJmԧFmÛFU񫰠Ȳ.]|80u}y3vlw`.j }+؈MXp&pWM ;dZvrc#*oEJ2+}}";I@%tPlWNdAݍ"pQQQk)V;QMR2bｴ9}am؅$Od6QUfm7Wubw~p{shVp -Q%,AlF{;3#]A љD5"r#˷#B/)e#@zP3tMAEUSnEw[(h8Cz:GYDRk3ex~3XwlzˊpDlܰ7OnvѣNzYŇy7]}2Ĵs>azeEA'۶vxk ҅ ՑEȠ&1Gىe'[iuXhU˱(O{ <甮@v0 kgi$8DZ^j:bdFlPXAO Sۢ5jZ]84/u7$ИT5{2-nO>FzI{ј04yc[֑+䱞N'?&3r+^WRDNPXJB0|ny x:n -Pl3lCH\ϰ&Q6|c"# oqxAW("1TOx?̈%(lnMYPY@6_Kr[>""1^L+4tk|O-@6:/n?BC8,\@@~@Pt.ml*mZ_c%-}Qh6' ë'5B6j:I玝vi~wա4˭fmn0 +[ʼnQLkC(}&5/: ɊDžnw:-U?lJJNFPn݃~:S>q7C3C5i~3v,j(D+8h<\[Ė.uA Κ4IBBc}3YؤNYK1/{pT˰6sx +HLR+XG!|AD"$Tŋ%5/ dsv P^5H]A"aCZ,h ?/L\tYL ٢*XCEPD)|ǒrz=0,XVr}qtl l#eY찇{Gю{2 +FɎQD8v\C%ńdsq\6"PD|dj4&gInh}䚺滨51LF蹍==m +`~-Ѷ%ׄo8U0wUhaރag6pQv\ξvx +-(a 34K?hE$.kL;_ukݒt 셕9R@'*+ƉQ,PRAkh +6TX->O+[2_밾#VizA|/rntbqkfmO"pLo^jڳ[%O6$BTiQ+0!$'q.HwDv 2Ͱ>}nj >ںrM{#q7? ~9G){Gec3}N>P B-*jK`%=ZWP"#6>s ҡ41)Ya4܅%i`-(8-f8VJgHsP2>+KAxȞĜ{VetѹCج_.l-фFGc5u[ zGN,MetmyYިRdr!'iZ๏FV}VbozBwmt>+LTeF‹Uȉٹ[SOl +Ybr }Kwu/űzk #dk͟/+nF}|f- 9bwbA[X1ƗW7DIHh⒏g4*md7*UVSVλvH6⵬?sh[9oGzV4{e:쮿{V:nDE\OGe< '}ڇF߼#"o 1T(ɞ^VZD(PH-L9h[*,Bzzԝ'R$~tǢNz#?y 7G-ʻw/JDi*TQixYF8Mo^/V-L6i6Z.h+2!bê %Cԛ,*Vx&A\QZ##Uh{^e:]Jhq˂TT*=󸀊H#O܋کέō\r솭 xyeb5q!ܽYv.D{WAM .9:cg/'i䮩@x+|P59\ѻ\(igOxt/&Qj Ah.ꘆIKp+UڥeocWT:χߤz{gtk=UF +h>*ݔDP?p;dp<±D87Xǩ?tMSZ&44 +XP+$o2H<&|{~qQ 7&KHъ_0%щNB@-%K)(}RtX#A>kHkO<0h@dĐȢ{_7/!"=c#IGb.J~O) +;q"1!Scqt@o4_;{r(S,*Mx#Ow{]We"^mv3 ?~wPr~(ijS"#tT!Qq|~8U,Ќf~ Awٷ+r}㊄tO&7i92砸Kҷ]@m"M'%VD6Tm)Y } +c,9+h_.d/e)(> + G9r46x'.!>h6}Qce(E(P^E  N (d)uY>f!,Z} +.v9|y~'ciUF8 + E&9KQؗ" Aun⨳U(WQn(ompv8I荳{02f6`@7~DSܒ-?b#`yDu_)Q{RL:9$a]Y5a]oVƭduY0 HMǒK)@&aga&~-Za[ևh R\eNjOoC <8K.OkFϵ[78bPcP;maeRΣQfy6y+m)/.\#-.Z̾7U1fPnjTp%7!c谙I|^xVaq}ƛF?vnrcWCAuO$ }xEa5nQt"뉶yצ_zЏ]7 +jE%)F {qj]ғܷ3CV$6ğioF^&&G 'L0Qh`&y Wͽt̔0=8?}yTv"O9os!l +=?Ӵc u%#{Cڰ|ªf7M][Cӂ^ӜU!&@Hz>O/~fq;M܊|ۖCfktaJrjS" bx2Vs. +?|?;QSmm*԰$qb\?>3(]G'?甽@ɱ<.Dy #z~k)=U1_b94 *wtLb|$W#m-{lߜ'Up{`Osxjɤ:uUÌi:^0FԖތvN($BN襼[b|¿tIn[`=xl#r,hf)Y StSt<+,̈́!]F5$xH^CUFm(/D}:2 ׀IPo18d1 iV"u)LnT|"h&\LWl#>^3 JȀ2}+ܘ}zvWJ_<&n͢"TZBvpԓ ܘg;GO \I +]40\yn$ϊ0`[p)]YŽ^R0]ANotZ +Fdu@X =LyAWiB,G#bnr:!Z㣀 xCz. hv':ұf|HMW=#_xKP2u[\"2<ÞH.G&Au7E:W[g/E!( Q׌Ӕ@nYN)ɓ)x|1.uQUQ×}(pbU#W?H{m܆ $)c+O>>rmTdNuX>jmJ%꤫G,[i2lT}df +Vs=7<0 JX$ma1u@rªd{g) {1ahg(mgleyhx$SI1y-:ڻ uiEWlG7MDAjDKK߹F†@jpa8Tc)N( ^/}-u61_!6踔4mO*jnfE 3ܲ*w9xϹX&P9@ ӳ7>b?ɹ + HGFޝȲTtڊ#"Wbl2W% p> <-Z6Mv9!X~>0P**]ORJ +d"9Nƕ? TcDJTMȭ`MR:/ 2W_FJFRJ f'nIL&睪ȳKMh;c_2s*ϊhԼ&֣/V3];¹j0{}&N:EF5Mv[ ƕ>ӼZL BfW>'A̩Evn59*uOXS]8to| yOsehe9}==&Hr]%,#0C3L%4@W980*; kbSVX/r;3` Ps$yw +ATٶJz$6&4Y#fiT&|n'V\.x?:T&Kʽpa]u`q;6n cIvDRh'~ncۆ͇(',AO3WY?EXOA.rd#~rCMP(P-69;ʗEm$тƯjaJ:L vbAWgni{ֆ Mb4O7i8o< lϴ4qpX2DAt0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -6741,41 +7336,41 @@ R cleartomark endstream endobj -129 0 obj << +134 0 obj << /Type /Font /Subtype /Type1 -/Encoding 353 0 R -/FirstChar 49 -/LastChar 119 -/Widths 354 0 R -/BaseFont /APHGQH+CMSL10 -/FontDescriptor 127 0 R +/Encoding 372 0 R +/FirstChar 12 +/LastChar 121 +/Widths 373 0 R +/BaseFont /KZCKJB+CMSL10 +/FontDescriptor 132 0 R >> endobj -127 0 obj << +132 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /APHGQH+CMSL10 +/FontName /KZCKJB+CMSL10 /ItalicAngle -9.46 /StemV 79 /XHeight 431 /FontBBox [-62 -250 1123 750] /Flags 4 -/CharSet (/one/G/O/a/e/i/l/n/r/v/w) -/FontFile 128 0 R +/CharSet (/fi/one/two/three/four/five/six/A/B/C/E/G/I/L/N/O/U/a/b/c/d/e/f/g/h/i/l/n/o/p/r/s/t/u/v/w/y) +/FontFile 133 0 R >> endobj -354 0 obj -[500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 785 0 0 0 0 0 0 0 778 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 0 0 0 444 0 0 0 278 0 0 278 0 556 0 0 0 392 0 0 0 528 722 ] +373 0 obj +[556 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 500 500 500 500 500 0 0 0 0 0 0 0 0 0 0 750 708 722 0 681 0 785 0 361 0 0 625 0 750 778 0 0 0 0 0 750 0 0 0 0 0 0 0 0 0 0 0 500 556 444 556 444 306 500 556 278 0 0 278 0 556 500 556 0 392 394 389 556 528 722 0 528 ] endobj -353 0 obj << +372 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 49/one 50/.notdef 71/G 72/.notdef 79/O 80/.notdef 97/a 98/.notdef 101/e 102/.notdef 105/i 106/.notdef 108/l 109/.notdef 110/n 111/.notdef 114/r 115/.notdef 118/v/w 120/.notdef] +/Differences [ 0 /.notdef 12/fi 13/.notdef 49/one/two/three/four/five/six 55/.notdef 65/A/B/C 68/.notdef 69/E 70/.notdef 71/G 72/.notdef 73/I 74/.notdef 76/L 77/.notdef 78/N/O 80/.notdef 85/U 86/.notdef 97/a/b/c/d/e/f/g/h/i 106/.notdef 108/l 109/.notdef 110/n/o/p 113/.notdef 114/r/s/t/u/v/w 120/.notdef 121/y 122/.notdef] >> endobj -108 0 obj << -/Length1 1723 -/Length2 11962 +112 0 obj << +/Length1 1759 +/Length2 12291 /Length3 532 -/Length 14217 +/Length 14582 >> stream %!PS-AdobeFont-1.1: CMBX10 1.00B @@ -6791,13 +7386,14 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /CEGWDH+CMBX10 def +/FontName /WMOLCJ+CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put +dup 33 /exclam put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put @@ -6812,8 +7408,9 @@ dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put -dup 55 /seven put dup 56 /eight put +dup 57 /nine put +dup 58 /colon put dup 63 /question put dup 65 /A put dup 66 /B put @@ -6845,6 +7442,7 @@ dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put +dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put @@ -6860,7 +7458,6 @@ dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put -dup 122 /z put readonly def /FontBBox{-301 -250 1164 946}readonly def currentdict end @@ -6870,52 +7467,41 @@ currentfile eexec N(-C :ߒw .B bw0$["PU~NY*64C>N^?0^~o&fZ9-(*ϟVV9 |J7@s.$DFYMi+M즒DSW['1qy4qZ;]6y@F< V&N3n]Db a[sK kԃ9$[F=e,&Ȩ)uv1DVIjaIç# -5k~QaMjFJL3.0lVem; YnⱪyRyh$&'gYx Qi- o 7kacg92X3]*#5sJ^fXגbA>!đkLa\wi\p d³JKWpt+2~-OC=<ߨ7H'4FDS٤d4isCD3M`=eO7mfz~6H36&UԍPց(5ۍX.:|[H"ɂ7SyZ?actS[lDA\t966an,2A?":6ߙ7xH/5e=v es% *W]l (+zE6:l12 ,]̄,/#WK 0F'˙ӎ*m*C|jᏌ[O(E6ǴPEKnc}{ЮbV=jBHO%>W|$,[m6ķ"j/XS^Z*$l~* INN-\6JD4:Mb/r. @ -C'Sx -p`# ~w/'\ fbBV,˕K dPVZVQ0Mhe5(~b QB -7:!ѩ#ͧN TZA/rgYtEsعeB/AϿM>8hY!(8<^>%A_BIP~L+**чʕ~JV@_L,rjWg!.zs$ !ؖ.4^jvfx7,001 -Dg.{}Uxƿ9>-bbD!"zH'>& 'C9{09~wOw >Δ%/e{@ -Ev,T/kS6D\${>su&p'NjeI2_n -1KZ%IW™t1T;M=gZ, ,-"|FƺEV$6ңC;"Se -s+׾@F`/T ';6u+Lv$d^woOd.@=!}\YGBDk$CsWT^<6 ᣣi6B̜D')(T@`yud]N%&iuz_</PMkrd401i:*q@&`^=%MISJ/.>DlMI)t3R3% $i6L귺"F,sFB _Ʉ.$3 -iLO>[nξ+Eo=dV'F!޸EZe,)o =h}` TݩЪlc 1a]+}Ԡfnubms4T6+jv9,/{~|ja{RkԿ\e?xAWl,_j$`l@@[_f -\:Ʊx\ :zSL=26vѻNX$9ōuNU =b#vcG*4[r>j7Qeo\jQTn͐8pm:ݪ+ie*i>c@WBo{J k wp?mt#x #K9t3m fK1YHmq5ԃ6QAIQh/=9hHI5 -Ydب*Lv>KҘ%Sad^Ri'S l%\ Ҏv4w8JxCv@<0<&-|l\By @ka%8}j\ZYZ,ҷ/J8na:8yi)=6ib/bnq[4=L)rD8M2O' Fe_yskp"1j9zr Pl3.Ƅ ]%ݥ`rMc:m*Y!Bx E*j-a 9ҭFXYA/^Q[GO{驀>]مPf+4QLzu.f@8"LE*r| -̙,DC\(_I>}+щשH ݎuj8UtI1G5}1L(K.[_,pظF5NI& -xIޟ/( .l;{E2G _GǓ]2SFjK:/ViɁKU.9El# YN!%a#SA-SC@UC> v`Vax/7e?=RKmF@ qxmT:vGS ӡ'EācJK{D߼\ -y(z^O!m-eRhʢa+ -]"l+ќpW!p}eWk[jn6iX8^)IewM׏@ffqcJ?Dkvٔ 4%~lfv 4"Mz -n7[IxV˕lϫ~2YE-YfѠvE"ňЦJ!b~crRq23 7]dDTp9§򊌁et F%ΉQt":h,W;GH[<CzUwq=ӧ;?Hfd27)p Ox_r}NLO#`#AecFSyx:?f U uVd(cW'̤&&1X}*7mYkE/P/H%3/ԓ"fp:P o`~`ԐY -r#5H﫦(2`-M<31vG d+>$H%{%>Nȩ={_u1QfLѨw'uF!R j_'UPZE-}}61.6U1nj*šI@dYtMOֺ0Q7: ?fK¤^2H3П//f͌ryߺFaXӘYhìOP[dxkN-H 8l# $Lga pY(Vܢ=KkI_|a~xAAWψ TAj]e+EXț*ISNՊ3wy5d'OQ _ZCFq5dvdtY\zqG2cK 9R"P!&,UVMWA7wUBx!2LIףK=m-U-eLO% in&,ipqT!taf.f ݭkv89^oM1Ҷ }n 9~(MDX;gDV@|Bݗ|h|DfedaT={h=䞛> SD5Ew>n@VhGٚ/)iZQCS/ٖ #-O+^()!Daz 3SҊ( 4i! Q[- zF>d` c( YqG9HMr+i)={cew2j7)?:ƁU:+_YUO(3-lV+p3D'{=`194/Y '41g5w:Sݲ`dS9΂<2RB#'د _dQj xAײ%{"ڨݵƸقf^1@ǗNj#1.a0^m\_: -%p`:¡3_]/lL:E|9FX5|cBdK aqcy'7# G{N0 ;ddIdn݁ǫQR{v *}0eKeЊ@ԫ-N VGʑM} ;n3htTrwը(hī៮/#I''|J;iHeR(=yeZaY]0GݗKDN݁yT/3n0,k̊rӐǘs`ؐ%5o$A}&@\@kyg8C;yݠ&FY< gpfpu2j 겠8 -؄ǥq4Mx6*G#&.b=BX>hwGIwэF#=%)Mi[Hk%0)ѓ SÂۼ)v`:=bTfdu]!2Low"6pgJW'Y,BfgU]:6 ZHhΦq.R׎Evdj`8W/9OBpD텞KSvٗ _~80{eP2d -m"!Zy_ ?&Yp#R*y-{_QʬV'd0X3LGll|2!4]RP=NsemwUKxHm4 rŬu4ܭQDRߖ2DwDIa?kНD$Y=1rC{v,7FSr㰍X)G3[ƳZUbs[O^K7,z'W6.wvQTudVT$;NoaK,V -)Kw/Q6-^ Ca#+fi,+Z wGΓMSƛlz"(p S(v3 -k~:6m?_<y?R1 B_꿷;՜ mtAHRKrfUx=QCd ,59&$_*>Hα/瑁RھCGc_J))4x7K>S:03bWVެXzA6PlWsM]\j[m_7ɭD-}i > Ϩ*ipVT>D&"^(fq'!đkLa\wi\p d³JKWpt+2~-OC=<ߨ7H'4FDS٤d4isCD3M`=eO7mfz~6H36&UԍPց(5ۍX.:|[H"ɂ7SyZ?actS[lDA\t966an,2A?":6ߙ7xH/5e=v es% *W]l (+zE6:l12 ,]̄,fvpXBwcsrC*;΢v5mΝfq ZR`[A7;bTvʻbp'au&zM7nGkhj֔a#SfS/+  5&`81?{p~w~5(frEh]^bfhǑX;/%oOvٚc9rXo$ݒ-#z}fSUϻy;͔>r^0~;:6]:SS(x:bNPc i:(O>EQ@q;yʨ؅H0 _.}x]|VCrFUAAC[0Kh?nؽP|GӓMk=D%ؼ|Nu?HX*L$A)zWۍm^z.NCA7nyu-D /B`DFKNico"]\iIʧp@y$VOYXjD=mTP>:P:Mp-#-rNn}jÿ 0pUߡ" +Ƈծ-wV߻9uQ\z?2C2~`kn =G^.̧QG.[|&?7?C\P]O~Gaճ̑ZRjxy5Af +//NgmǺ cq.{.{/SLA`3ވ5:YsI-@tci)0SAXSZ +rӅ/7>iڲ/6I3\c4rcPOuK +/)u#Hi@N9'&-uJĊ)[%bH"fZ6KS26Etڃ/H|sVlHATu?L^ m~VD*Juh,T%![>nhUm'Db?/mtJh?0 e͸jGu 敱[_^$jP+q6"kQ+9hZ韯,{JEks09Zʮ]UĹ4 $~;DX}>0OuӓÉ7Yx~GB\Y%,Ύ!RL[XP0>0WjuGr +a mmOJ |nD:cvhU9toa6ЭqMqa*A× ФѪ +ԹQQ7gP7(oLr;`l +"U?XP|QYU+гTג: Dp<#`-bF.1eZM^=gj\}pG8|Qx{%PSmiW/^g g9*:|֊aK컖>-I,6j8vF,.vI]wiJGlMRҟ'<`'+zQӚULt܈_~dΡ؞f6b(FCxzUT´4#ERmxmLft֤MWZ@ra\8HI mn՚o{lZʗIgbsk sNk|Pn:NnWw4aֲy@( ⽢1!GAɦ'.:lڻ"[{r"e6,Qiֈ>|įW+Wk\(SϠAaFϑX'TU +ዷ2GQA%s3]~0۶u%QX3ǀV?r'3s)3uR-8F^Ofn5 %?T o9IjP#*H1~̀ddN_|1ȊjƖo]҇n)njp(G(A[\0`kG!=ݢZ4nP!*?t{+Vs;{m{yՠFl42\q *H@S*! .L?wG_m-OM4I_-l,dESPK:8p0:-UC`pK_1[RerO_(@ n^x5t +',. 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343 285 0 0 0 514 0 514 514 0 0 0 514 0 0 0 0 0 0 0 771 728 742 785 0 671 0 0 371 0 799 642 942 0 0 699 0 0 571 742 771 0 0 0 0 0 0 514 0 0 0 0 514 571 457 571 457 314 514 571 285 314 542 285 856 571 514 571 542 402 405 400 571 542 742 542 542 457 ] endobj -357 0 obj << +376 0 obj << /Type /Encoding /Differences [ 0 /.notdef 11/ff 12/.notdef 34/quotedblright 35/.notdef 40/parenleft/parenright 42/.notdef 44/comma/hyphen/period 47/.notdef 50/two 51/.notdef 52/four/five 54/.notdef 57/nine 58/.notdef 65/A/B/C/D 69/.notdef 70/F 71/.notdef 73/I 74/.notdef 75/K/L/M 78/.notdef 80/P 81/.notdef 83/S/T/U 86/.notdef 92/quotedblleft 93/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef] >> endobj -96 0 obj << +100 0 obj << /Length1 1166 /Length2 5371 /Length3 532 @@ -7140,7 +7726,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /QVYKVQ+CMCSC10 def +/FontName /KZQIGY+CMCSC10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -7207,37 +7793,37 @@ uz cleartomark endstream endobj -97 0 obj << +101 0 obj << /Type /Font /Subtype /Type1 -/Encoding 359 0 R +/Encoding 378 0 R /FirstChar 40 /LastChar 118 -/Widths 360 0 R -/BaseFont /QVYKVQ+CMCSC10 -/FontDescriptor 95 0 R +/Widths 379 0 R +/BaseFont /KZQIGY+CMCSC10 +/FontDescriptor 99 0 R >> endobj -95 0 obj << +99 0 obj << /Ascent 514 /CapHeight 683 /Descent 0 -/FontName /QVYKVQ+CMCSC10 +/FontName /KZQIGY+CMCSC10 /ItalicAngle 0 /StemV 72 /XHeight 431 /FontBBox [14 -250 1077 750] /Flags 4 /CharSet (/parenleft/hyphen/two/four/A/B/D/L/M/P/S/a/b/c/d/e/g/i/k/l/m/n/o/p/r/s/t/u/v) -/FontFile 96 0 R +/FontFile 100 0 R >> endobj -360 0 obj +379 0 obj [436 0 0 0 0 378 0 0 0 0 553 0 553 0 0 0 0 0 0 0 0 0 0 0 0 814 771 0 829 0 0 0 0 0 0 0 683 989 0 0 742 0 0 611 0 0 0 0 0 0 0 0 0 0 0 0 0 613 580 591 624 558 0 641 0 302 0 636 513 747 613 636 558 0 602 458 591 613 613 ] endobj -359 0 obj << +378 0 obj << /Type /Encoding /Differences [ 0 /.notdef 40/parenleft 41/.notdef 45/hyphen 46/.notdef 50/two 51/.notdef 52/four 53/.notdef 65/A/B 67/.notdef 68/D 69/.notdef 76/L/M 78/.notdef 80/P 81/.notdef 83/S 84/.notdef 97/a/b/c/d/e 102/.notdef 103/g 104/.notdef 105/i 106/.notdef 107/k/l/m/n/o/p 113/.notdef 114/r/s/t/u/v 119/.notdef] >> endobj -93 0 obj << +97 0 obj << /Length1 821 /Length2 1985 /Length3 532 @@ -7257,7 +7843,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /EUFUZO+CMBX9 def +/FontName /OXCZRZ+CMBX9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -7292,41 +7878,41 @@ L% cleartomark endstream endobj -94 0 obj << +98 0 obj << /Type /Font /Subtype /Type1 -/Encoding 361 0 R +/Encoding 380 0 R /FirstChar 65 /LastChar 116 -/Widths 362 0 R -/BaseFont /EUFUZO+CMBX9 -/FontDescriptor 92 0 R +/Widths 381 0 R +/BaseFont /OXCZRZ+CMBX9 +/FontDescriptor 96 0 R >> endobj -92 0 obj << +96 0 obj << /Ascent 694 /CapHeight 686 /Descent -194 -/FontName /EUFUZO+CMBX9 +/FontName /OXCZRZ+CMBX9 /ItalicAngle 0 /StemV 117 /XHeight 444 /FontBBox [-58 -250 1195 750] /Flags 4 /CharSet (/A/a/b/c/r/s/t) -/FontFile 93 0 R +/FontFile 97 0 R >> endobj -362 0 obj +381 0 obj [893 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 575 657 526 0 0 0 0 0 0 0 0 0 0 0 0 0 0 488 467 460 ] endobj -361 0 obj << +380 0 obj << /Type /Encoding /Differences [ 0 /.notdef 65/A 66/.notdef 97/a/b/c 100/.notdef 114/r/s/t 117/.notdef] >> endobj -90 0 obj << +94 0 obj << /Length1 2053 -/Length2 14850 +/Length2 14664 /Length3 532 -/Length 17435 +/Length 17249 >> stream %!PS-AdobeFont-1.1: CMR10 1.00B @@ -7342,7 +7928,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /WAUNAD+CMR10 def +/FontName /WXIRFQ+CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -7353,7 +7939,6 @@ dup 12 /fi put dup 14 /ffi put dup 20 /caron put dup 34 /quotedblright put -dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put @@ -7429,6 +8014,7 @@ dup 121 /y put dup 122 /z put dup 123 /endash put dup 124 /emdash put +dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end @@ -7446,61 +8032,69 @@ i sh2]}A篁Ld>y4k[lj ԻQCl)屠Nnmu-*BT-םvD;*bxGxY%F ^+{ݚMΘEI䵮Fgb?\.ĻWEL¶úR?ty I XSF TUtxTInTڊqaƇ:۫936i*pĝ>uyDUv"I7bV ER5/X\.a_d>I',Rpyu'"Nu@|旱Ρq[$ y*'feL4Xy;3s/t^z|nf\H+ٻK?=7:jրh*O@&K$[*i>ПC'l6{$1OC+菉T~bBs1Q'fXFpWǷd]*.gP:AFD=>p -w։;1K:{eQcJA-A0H˭UF]m1,F,\zCT%!?{C͙L11g>oi멥:+ʻ33XG<#%|1/;@zp&.s<E` )Q\2-\lR J{јIdO -YI\$=1@'("΀UCb9uē)Ĵ -cJϙ !f@q[r]_ \^(2g9N™YE<#H!(=9:EEz}P(tI%t!F3[ C2qRoz7&l}j 0h @k:/P"r uQΒmJTV7Id -uloۛk0їyưR,ߓUm-M#ٰsO+}P8uz)sY%;SZVnJYx.W-o&Jk;w -7K;+sт=}JAը)ux6Zc'ڀpq稜 TW(mAO<`~l>TœO$~!fxG -t |3RbFru隷2AJށWJ`SW+ܠVnO/ d hB:PbV"ڴ2=?2d"Ef*A.b2"_`9x' 3A F$iZ\U7e2_7j:󐘗%nQWC\ԯ@Ttpad)tj% Zt_c0H>nj_ؽ@#$ B-H'&DL"41 dD]{tJCd4QEA&*,Pkv4pdY]֝Ank;9K 0*+Xڷ ])YҪm QT'1fNBGYQdXǨuQ+L''43 =0f]o&;D9Z -dHg?AiՀ}[#jֲͭLNȕ?P)6R1@w9%bݟ"ޚ^y{!8nn^c7蜽+x"?U"J9|_Y囏D;.Q 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J^bBU j6Uv{=K \)g6l[>ӭzFQ'뙸| M0!/&G]җ(X|/Q896<-쇧A+RYOJEź +v0p,DT)@eJ>ѥ䎆DW0)Myx==cߐYm3/T8x{4#E~;rD̅ڲgz67eSԱ808|[#)z1wΑ'J7_31 {\@M qWanzL3dz|԰.M H@*dyZK~2c-!Fa-FLۅܱXwLXoMj4ǟSu `C D5^P(`\ɕq#6FzPö +"5o8tQR%#p;U6qi/ +8$dE<H3^ ^Иh5mo'l!@=}NڶuzcD;2bvzb$xz`vH^ŋ7z|7>:]ޒL0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -7511,41 +8105,41 @@ a cleartomark endstream endobj -91 0 obj << +95 0 obj << /Type /Font /Subtype /Type1 -/Encoding 363 0 R +/Encoding 382 0 R /FirstChar 11 -/LastChar 124 -/Widths 364 0 R -/BaseFont /WAUNAD+CMR10 -/FontDescriptor 89 0 R +/LastChar 127 +/Widths 383 0 R +/BaseFont /WXIRFQ+CMR10 +/FontDescriptor 93 0 R >> endobj -89 0 obj << +93 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /WAUNAD+CMR10 +/FontName /WXIRFQ+CMR10 /ItalicAngle 0 /StemV 69 /XHeight 431 /FontBBox [-251 -250 1009 969] /Flags 4 -/CharSet (/ff/fi/ffi/caron/quotedblright/ampersand/quoteright/parenleft/parenright/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon/equal/question/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/R/S/T/U/V/W/X/bracketleft/quotedblleft/bracketright/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash) -/FontFile 90 0 R +/CharSet (/ff/fi/ffi/caron/quotedblright/quoteright/parenleft/parenright/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon/equal/question/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/R/S/T/U/V/W/X/bracketleft/quotedblleft/bracketright/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash/dieresis) +/FontFile 94 0 R >> endobj -364 0 obj -[583 556 0 833 0 0 0 0 0 500 0 0 0 0 0 0 0 0 0 0 0 0 0 500 0 0 0 778 278 389 389 0 0 278 333 278 500 500 500 500 500 500 500 500 500 500 500 278 278 0 778 0 472 0 750 708 722 764 681 653 785 750 361 514 778 625 917 750 778 681 0 736 556 722 750 750 1028 750 0 0 278 500 278 0 0 0 500 556 444 556 444 306 500 556 278 306 528 278 833 556 500 556 528 392 394 389 556 528 722 528 528 444 500 1000 ] +383 0 obj +[583 556 0 833 0 0 0 0 0 500 0 0 0 0 0 0 0 0 0 0 0 0 0 500 0 0 0 0 278 389 389 0 0 278 333 278 500 500 500 500 500 500 500 500 500 500 500 278 278 0 778 0 472 0 750 708 722 764 681 653 785 750 361 514 778 625 917 750 778 681 0 736 556 722 750 750 1028 750 0 0 278 500 278 0 0 0 500 556 444 556 444 306 500 556 278 306 528 278 833 556 500 556 528 392 394 389 556 528 722 528 528 444 500 1000 0 0 500 ] endobj -363 0 obj << +382 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 11/ff/fi 13/.notdef 14/ffi 15/.notdef 20/caron 21/.notdef 34/quotedblright 35/.notdef 38/ampersand/quoteright/parenleft/parenright 42/.notdef 44/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon 60/.notdef 61/equal 62/.notdef 63/question 64/.notdef 65/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P 81/.notdef 82/R/S/T/U/V/W/X 89/.notdef 91/bracketleft/quotedblleft/bracketright 94/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash 125/.notdef] +/Differences [ 0 /.notdef 11/ff/fi 13/.notdef 14/ffi 15/.notdef 20/caron 21/.notdef 34/quotedblright 35/.notdef 39/quoteright/parenleft/parenright 42/.notdef 44/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon 60/.notdef 61/equal 62/.notdef 63/question 64/.notdef 65/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P 81/.notdef 82/R/S/T/U/V/W/X 89/.notdef 91/bracketleft/quotedblleft/bracketright 94/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash/emdash 125/.notdef 127/dieresis 128/.notdef] >> endobj -78 0 obj << +82 0 obj << /Length1 1353 -/Length2 7074 +/Length2 7165 /Length3 532 -/Length 8959 +/Length 9050 >> stream %!PS-AdobeFont-1.1: CMR12 1.0 @@ -7561,7 +8155,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /PJYMAF+CMR12 def +/FontName /GFODYD+CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -7574,7 +8168,7 @@ dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put -dup 52 /four put +dup 53 /five put dup 56 /eight put dup 58 /colon put dup 65 /A put @@ -7617,25 +8211,29 @@ currentfile eexec Jɩ14ulRh+$LHʍ-?xM6mk]FsvN VI &gljᑢ_5s$ U$;|Q|nÜ2 @%ړqP c Tݓz#rr%sV 5jXmcxco!e<꯿!j_&a招Dʕ񮄏]_ZbJm*:/gO!**$_ !YEBě `Ek14#!"AGgJt+1u!*(*}U\#6g1.*u =>Jx7bdژپ|8K8u+0aYq/2S8|ea7lt+qo[YD5v_W <Zw[}7{<p s'}up/Pl Ēde.+R/rHu /&T V]jSXDT ]v2OG90g}M;ρ}Ҙ#LdWVoft&<"C8&rŔyTqd.2*Em9u.m}pk&QUZr t2A -5'Vh*He"z8<`jCZnpZ.C^L̮uÑ9LTr>Ғʩ]]H)eܨ<1BDvT h8#JPϸQ>#<8&6Cc`mE}w56_z#h}ʅDFM"ֶ+\@esx~1lP:S/ \H)l_᤺ѼYrvε[ɹHP:xb_ S6٩,^b~q, ;FKkgB*.6څy!rhN㉳^K0Z\dRoþIh /A]&.t i> -N)`~L CɬS -374TldǧA?*2|iwtYɪA5R%t/Pd -?Ty&$銥f+J y l?cڵ*W𲌲BNE n>PL^x|Gq?"#o",eGb3*|g]BhKxs,9M+d XB1:: ?5gGP, 626y|Bn\AD ū|-_C;s+|/Lmj=f*( wRڮ]e~:XOOnXp6%dLQx %"!租`NƩd_ 2a?Gj}>+={yIb̍e= ZcZLĴ[)2 gqbՖa|؇ DH -ހ `b^U|? 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lJn` 2gT)^eM(m,&0A +k 744͒1b\:OD3Nm=[BO H,=KxSe8f0(*_V 09zq.nf5;aXiE7d-̛dl8c#DcCY4ʯ`Rm{h33xі^1slԦwYF_ҧoF-R&LR?)@xZčf>VqQVD?S7>h$zjnCum_r;t~5Yf-)Ub9k w Ǹ9uΔ(XiXYy+'mJFae9i"šҗ&Ђ|.Cݸݺ#/a2_JKgRaN35AL +@Y%F3ҨOuzV"]$wmF+7 PЃow& + s 38}F~ +JdF"<24] :TR2͗~L 'H_(^PeG)"VԹY(AP +\GIA`-'  0 2@p,s g0nTd*9ķ?ɒSs~\=•~x+&]Sϫ@od9v '}!MqZ!fvJ'yEVG`ưH"89$6OT91#/WJ/ҒQd8 V_1/XN2~Gk>9U~Qgēm +3RUr[q2aI $.+Lr5^@\_eZްF qT(dC"zR~U=:8L xR)GdHhXb#LWٜ;?5c97I.؀E- }usEzWVŻk/'LSSMw|J({yl\f~?% *}KJCB˻8lO7%^,~9+aVgF4 I0HRs +5&+UԓeEYזNPI`FPoKM\f>uP9gc;gY-t~bY_~Q4Qiq׭@"8Bd`о+8|@3&l +*]C3bN`\/%ڵ? <1 ;pb/k[q4W\M+}4 efdNMUӐ{Pōl$ey!R@-ޑ?E{ŃL!n>a +v"%ruzC$8G5cZ=jZ\<x| 6yvWkR݀=MNa=mz劻L^*ήDٞ, %l-w]>,17&L]pQZ;v<}K͇OjjNw&?3 +vPmz3yq?̓'M 璃r<(pex<ֿe\vDSJRJQ5]z`.'u0ڽoi9KKSLMZUi4^_E7 +{ ք1x:tݑbkfԝ=ӣi0=Mxsưn_ ⠂X[У DpD|Q.9aCLukducodॊ{"ltɐqO^ = :sK!;#ANPm"glt[G_# B"4=Ӻ}=v(#:UXL d4alxt*caKQyg%ކV.m<4KFq9zб'Ic00jX$ e9|&J ]&v&No:P k*a2vUIpd@9ލ}I%{ Geu,%.\B>8=ӧ)Yf&8e3ѭz08sAD>0zsba _nIΎ 5ugӐl_,렟Ect5fzâ%C(~ "A!;M!s1zY{ %jy¢֘l#Qċ*!Goēc7z#NVϦ{8O 1u:}+bWv~o"ajOi6o(͓*qs$I| %1!+4BABQdjmW8-8q%FL-x약ig ^ 5kR/./m5Kl疣?J-$FimzjwZ`gfN1ñ!(a?:Kq WPYga9aB&1 !<4)'lMwv-#(0GH_Xw NZކj;xhe'NpO~q\$o&'yw^b݂./2o4#ȹIFLoe'V[D +AnnY oRAHa7bVAkGsT製ܭ9PX:8*9U5g/1NIhvElǙvQ/nc |ཅm21@-&B.1p@[nCL x_+F̠_ OF> endobj -77 0 obj << +81 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /PJYMAF+CMR12 +/FontName /GFODYD+CMR12 /ItalicAngle 0 /StemV 65 /XHeight 431 /FontBBox [-34 -251 988 750] /Flags 4 -/CharSet (/quotedblright/comma/hyphen/period/zero/one/two/four/eight/colon/A/C/I/J/N/R/S/T/U/V/quotedblleft/a/c/d/e/f/g/i/l/m/n/o/p/r/s/t/u/v/w/y) -/FontFile 78 0 R +/CharSet (/quotedblright/comma/hyphen/period/zero/one/two/five/eight/colon/A/C/I/J/N/R/S/T/U/V/quotedblleft/a/c/d/e/f/g/i/l/m/n/o/p/r/s/t/u/v/w/y) +/FontFile 82 0 R >> endobj -366 0 obj -[490 0 0 0 0 0 0 0 0 0 272 326 272 0 490 490 490 0 490 0 0 0 490 0 272 0 0 0 0 0 0 734 0 707 0 0 0 0 0 353 503 0 0 0 734 0 0 0 721 544 707 734 734 0 0 0 0 0 490 0 0 0 0 490 0 435 544 435 299 490 0 272 0 0 272 816 544 490 544 0 381 386 381 544 517 707 0 517 ] +385 0 obj +[490 0 0 0 0 0 0 0 0 0 272 326 272 0 490 490 490 0 0 490 0 0 490 0 272 0 0 0 0 0 0 734 0 707 0 0 0 0 0 353 503 0 0 0 734 0 0 0 721 544 707 734 734 0 0 0 0 0 490 0 0 0 0 490 0 435 544 435 299 490 0 272 0 0 272 816 544 490 544 0 381 386 381 544 517 707 0 517 ] endobj -365 0 obj << +384 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 34/quotedblright 35/.notdef 44/comma/hyphen/period 47/.notdef 48/zero/one/two 51/.notdef 52/four 53/.notdef 56/eight 57/.notdef 58/colon 59/.notdef 65/A 66/.notdef 67/C 68/.notdef 73/I/J 75/.notdef 78/N 79/.notdef 82/R/S/T/U/V 87/.notdef 92/quotedblleft 93/.notdef 97/a 98/.notdef 99/c/d/e/f/g 104/.notdef 105/i 106/.notdef 108/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w 120/.notdef 121/y 122/.notdef] +/Differences [ 0 /.notdef 34/quotedblright 35/.notdef 44/comma/hyphen/period 47/.notdef 48/zero/one/two 51/.notdef 53/five 54/.notdef 56/eight 57/.notdef 58/colon 59/.notdef 65/A 66/.notdef 67/C 68/.notdef 73/I/J 75/.notdef 78/N 79/.notdef 82/R/S/T/U/V 87/.notdef 92/quotedblleft 93/.notdef 97/a 98/.notdef 99/c/d/e/f/g 104/.notdef 105/i 106/.notdef 108/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w 120/.notdef 121/y 122/.notdef] >> endobj -75 0 obj << +79 0 obj << /Length1 1144 /Length2 6097 /Length3 532 @@ -7696,7 +8294,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /GHIUBH+CMTI12 def +/FontName /GPDXAD+CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -7767,41 +8365,41 @@ Y| cleartomark endstream endobj -76 0 obj << +80 0 obj << /Type /Font /Subtype /Type1 -/Encoding 367 0 R +/Encoding 386 0 R /FirstChar 45 /LastChar 118 -/Widths 368 0 R -/BaseFont /GHIUBH+CMTI12 -/FontDescriptor 74 0 R +/Widths 387 0 R +/BaseFont /GPDXAD+CMTI12 +/FontDescriptor 78 0 R >> endobj -74 0 obj << +78 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /GHIUBH+CMTI12 +/FontName /GPDXAD+CMTI12 /ItalicAngle -14.04 /StemV 63 /XHeight 431 /FontBBox [-36 -251 1103 750] /Flags 4 /CharSet (/hyphen/A/B/D/L/M/P/S/a/b/c/d/e/f/g/h/i/k/l/m/n/o/p/r/s/t/u/v) -/FontFile 75 0 R +/FontFile 79 0 R >> endobj -368 0 obj +387 0 obj [350 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 727 688 0 738 0 0 0 0 0 0 0 613 877 0 0 663 0 0 550 0 0 0 0 0 0 0 0 0 0 0 0 0 500 450 450 500 450 300 450 500 300 0 450 250 800 550 500 500 0 413 400 325 525 450 ] endobj -367 0 obj << +386 0 obj << /Type /Encoding /Differences [ 0 /.notdef 45/hyphen 46/.notdef 65/A/B 67/.notdef 68/D 69/.notdef 76/L/M 78/.notdef 80/P 81/.notdef 83/S 84/.notdef 97/a/b/c/d/e/f/g/h/i 106/.notdef 107/k/l/m/n/o/p 113/.notdef 114/r/s/t/u/v 119/.notdef] >> endobj -72 0 obj << -/Length1 1463 -/Length2 8363 +76 0 obj << +/Length1 1460 +/Length2 8357 /Length3 532 -/Length 10358 +/Length 10349 >> stream %!PS-AdobeFont-1.1: CMBX12 1.0 @@ -7817,7 +8415,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /AJDUCR+CMBX12 def +/FontName /YHUOVJ+CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -7832,7 +8430,6 @@ dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put -dup 55 /seven put dup 65 /A put dup 66 /B put dup 67 /C put @@ -7857,6 +8454,7 @@ dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put +dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put @@ -7881,34 +8479,26 @@ currentfile eexec M(Y8gJݪG JEJwLOFdTvYӐBlg=6}=]\O.*Wc6D(rbIebN8!KAeRn4&K%^p w a f#ۢ:#۰\f浕MxpŨ&cYٲm#]qvOT[ȱG_w;3%t.PV!}}ph2,1⾈͡\?4TT1f ۹tV%V }+a n z"&rW;aA{\j=&CCC3-A4\'R$cyf?)Uѣ4̗Tq,;2SKZ o"&5·e릶8N7F&*qnNu+v,v󂑑Ts52r_@1؋!y'D J~\B<8dy4+=eji~bW[p v?ti򯹥 !<8pÛ=DDƖ֩9I9im˜-Jsm1=("=R=nc|k)Ps8Yi?鱞 ,Q~+>lbC3^Qy3y1ayYf(sjX>ZHw%}m7>\z=)?MJ/ڥ}+vk|O)M\VAWUVe¿2ۋ3LK}:jH3JKwEӍ9eeD98D` +1|=c0bOIn#EJH 7fy]xPrP.r+8;I*M׿bS/_ Ўi4R|zkh'}h *p$Xs5ѣ6^ʳYk%fb z:?y -~ve*iQ F9z!skE8O?zd_1دJ3s -WG֜jC@{ -v۹%}ȅͽEq. %` o1(7ïa#~3w6?D"̂ )msN2l^[6>H ->|ª"nܞ[&*+ -v&b;t69QmFL/a G!֌cD }-1rK#ًQz${w) { 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