From 593cc629aec2b015690cc3932fedb604d958120b Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Wed, 18 Jun 2008 11:28:57 +0000 Subject: [PATCH] mld2p4: docs/pdf/abstract.tex docs/pdf/background.tex docs/pdf/gettingstarted.tex docs/pdf/highlevelview.tex docs/pdf/overview.tex docs/userguide.pdf merged doc fixes from Daniela/Pasqua. Still a long way to go. --- docs/pdf/abstract.tex | 11 +- docs/pdf/background.tex | 23 +- docs/pdf/gettingstarted.tex | 211 +- docs/pdf/highlevelview.tex | 252 +- docs/pdf/overview.tex | 65 +- docs/userguide.pdf | 6458 +++++++++++++++++++++++++---------- 6 files changed, 5048 insertions(+), 1972 deletions(-) diff --git a/docs/pdf/abstract.tex b/docs/pdf/abstract.tex index 92d0f191..ee6ed415 100644 --- a/docs/pdf/abstract.tex +++ b/docs/pdf/abstract.tex @@ -1,11 +1,11 @@ \begin{abstract} -\emph{MLD2P4 (Multi-Level Domain Decomposition Parallel Preconditioners Package based on +\textsc{MLD2P4 (Multi-Level Domain Decomposition Parallel Preconditioners Package based on PSBLAS}) is a package of parallel algebraic multi-level preconditioners. It implements various versions of one-level additive and of multi-level additive and hybrid Schwarz algorithms. In the multi-level case, a purely algebraic approach is applied to generate coarse-level corrections, so that no geometric background is needed -concerning the matrix to be preconditioned. The matrix is required to be square, real or complex, with a symmetric sparsity pattern \textbf{Non consideriamo anche il caso non simmetrico -con $(A+A^T)/2$?}. +concerning the matrix to be preconditioned. The matrix is required to be square, real +or complex, with a symmetric sparsity pattern MLD2P4 has been designed to provide scalable and easy-to-use preconditioners in the context of the PSBLAS (Parallel Sparse Basic Linear Algebra Subprograms) @@ -16,4 +16,7 @@ for the ``best'' preconditioner for the problem at hand. The package has been de employing object-oriented techniques, using Fortran 95 and MPI, with interfaces to additional external libraries such as UMFPACK, SuperLU and SuperLU\_Dist, that can be exploited in building multi-level preconditioners. -\end{abstract} \ No newline at end of file + +This guide provides a brief description of the functionalities and +the user interface of MLD2P4. +\end{abstract} diff --git a/docs/pdf/background.tex b/docs/pdf/background.tex index 117f1df6..10ea92c4 100644 --- a/docs/pdf/background.tex +++ b/docs/pdf/background.tex @@ -16,9 +16,7 @@ solution of the original problem from the local solutions submatrices, i.e.\ with some common rows, to couple the local information related to the submatrices (see, e.g., \cite{dd2_96}). The main motivations for choosing Additive Schwarz preconditioners are their -intrinsic parallelism and good \textbf{(dire good e' un po' "`forte"', dato che -subito dopo diciamo che la convergenza dipende dal numero di sottomatrici)} -convergence properties. A drawback of these +intrinsic parallelism. A drawback of these preconditioners is that the number of iterations of the preconditioned solvers generally grows with the number of submatrices. This may be a serious limitation on parallel computers, since the number of submatrices usually matches the number @@ -72,8 +70,7 @@ The Multilevel preconditioners implemented in MLD2P4 are obtained by combining Additive Schwarz preconditioners with coarse-space corrections; therefore we first provide a sketch of the Additive Schwarz preconditioners. -Given a linear system -\[ Ax=b, \] +Given the linear system \Ref{system1}, where $A=(a_{ij}) \in \Re^{n \times n}$ is a nonsingular sparse matrix with a symmetric non-zero pattern, let $G=(W,E)$ be the adjacency graph of $A$, where $W=\{1, 2, \ldots, n\}$ @@ -118,9 +115,9 @@ time on parallel distributed-memory computers is the so-called \emph{Restricted (RAS)} preconditioner~\cite{Cai_Sarkis,Efstathiou_Gander}. 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 operator $(R_i^{\delta})^T$, -which is substituted by $(\tilde{R}_i^0)^T \in \Re^{n_i^\delta \times n}$, -where $\tilde{R}_i^0$ obtained by zeroing the rows of $R_i^\delta$ +RAS differs from classical AS by the prolongation operators, +which are substituted by $(\tilde{R}_i^0)^T \in \Re^{n_i^\delta \times n}$, +where $\tilde{R}_i^0$ is obtained by zeroing the rows of $R_i^\delta$ corresponding to the vertices in $W_i^\delta \backslash W_i^0$: \[ M_{RAS}^{-1}= \sum_{i=1}^m (\tilde{R}_i^0)^T @@ -233,11 +230,12 @@ applying a suitable smoother to a simple piecewise constant prolongation operator, to improve the quality of the coarse-space correction. Three main steps can be identified in the smoothed aggregation procedure: -\begin{itemize} +\begin{enumerate} \item coarsening of the vertex set $W$, to obtain $W_C$; \item construction of the prolongator $R_C^T$; \item application of $R_C$ and $R_C^T$ to build $A_C$. -\end{itemize} +\end{enumerate} +%\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 @@ -282,8 +280,9 @@ S = I - \omega D^{-1} A , \end{equation} where the value of $\omega$ can be chosen using some estimate of the spectral radius of $D^{-1}A$ \cite{Brezina_Vanek}. -\textbf{Cenno al filtering di $A$ nello smoothing, dicendo che pero' non e' stato -implementato?} +% +%\textbf{NOTA: filtering di $A$ nello smoothing, da implementare?} +% %%% Local Variables: %%% mode: latex diff --git a/docs/pdf/gettingstarted.tex b/docs/pdf/gettingstarted.tex index 21071d11..8b798da6 100644 --- a/docs/pdf/gettingstarted.tex +++ b/docs/pdf/gettingstarted.tex @@ -7,7 +7,7 @@ The following steps are required: \item \emph{Declare the preconditioner data structure}. It is a derived data type, \verb|mld_|\emph{x}\verb|prec_type|,where \emph{x} may be \verb|s|, \verb|d|, \verb|c| or \verb|z|, according to the basic data type of the sparse matrix - (\verb|s| = real single precision; \verb|s| = real double precision; + (\verb|s| = real single precision; \verb|d| = real double precision; \verb|c| = complex single precision; \verb|z| = complex double precision). This data structure is accessed by the user only through the MLD2P4 routines, following an object-oriented approach. @@ -19,9 +19,12 @@ The following steps are required: to identify each preconditioner type is also given. \item \emph{Choose a specific preconditioner within the selected preconditioner type, by setting the preconditioner parameters.} This is performed by the routine \verb|mld_precset|. - A few examples concerning the use of \verb|mld_precset| are given in - Section~\ref{sec:examples}; a complete list of all the - preconditioner parameters and their allowed values is provided in + This routine must be called only if the user wants to modify the default values + of the parameters associated to the selected preconditioner type, to obtain a variant + of the default preconditioner. + An example of use of \verb|mld_precset| is given in + Section~\ref{sec:examples}, Figure~\ref{fig:example2}; a complete list of all the + preconditioner parameters and their allowed and default values is provided in Section~\ref{sec:highlevel}. \item \emph{Build the preconditioner for a given matrix.} This is performed by the routine \verb|mld_precbld|. @@ -58,8 +61,8 @@ Multilevel &\verb|'ML'| & Multi-level hybrid preconditioner (additive with post-smoothing only. Number of levels: 2; post-smoother: block-Jacobi preconditioner with ILU(0) on the local blocks; coarsest matrix: distributed among the - processors; corase-level solver: 4 sweeps of the - block-Jacobi solver, with ILU(0) on the blocks. \\ + processors; corase-level solver: 4 sweeps of the block-Jacobi + solver, with the UMFPACK LU factorization on the blocks. \\ \hline \end{tabular} \end{center} @@ -69,25 +72,29 @@ Multilevel &\verb|'ML'| & Multi-level hybrid preconditioner (additive \subsection{Examples\label{sec:examples}} -The code reported below shows how to set and apply the MLD2P4 default multi-level -preconditioned, i.e.\ the two-level hybrid post-smoothed Schwarz preconditioner, -using block-Jacobi with ILU(0) on the blocks as basic preconditioner, +The code reported in Figure~\ref{fig:example1} shows how to set and apply the MLD2P4 default +multi-level preconditioner, i.e.\ the two-level hybrid post-smoothed Schwarz preconditioner, +having block-Jacobi with ILU(0) on the blocks as basic preconditioner, a coarse matrix distributed among the processors, and four block-Jacobi -sweeps with ILU(0) on the blocks as approximate coarse-level solver. +sweeps, with the UMFPACK sparse LU factorization on the blocks, as approximate coarse-level solver. The choice of this preconditioner is made by simply specifying \verb|'ML'| as second argument of \verb|mld_precinit| (a call to \verb|mld_precset| is not needed). -The preconditioner is applied within the BiCGSTAB solver provided by PSBLAS. +The preconditioner is applied with the BiCGSTAB solver provided by PSBLAS. The part of the code concerning the reading and assembling of the sparse matrix and the right-hand side vector, performed through the PSBLAS routines for sparse matrix and vector management, is not reported -here for brevity. Other statements concerning the use of PSBLAS are neglected too. -The complete code can be found in the example program file \verb|example_2lev_default.f90| +here for brevity; the statements concerning the deallocation of the PSBLAS data structure +are neglected too. +The complete code can be found in the example program file \verb|example_ml_default.f90| in the directory \textbf{XXXXXX (SPECIFICARE).} Note that the modules \verb|psb_base_mod| and \verb|psb_util_mod| at the beginning of the code are required by PSBLAS. For details on the use of the PSBLAS routines, see the PSBLAS User's Guide \cite{}. +\begin{figure}[tbp] +\begin{center} +{\small \begin{verbatim} use psb_base_mod use psb_util_mod @@ -98,9 +105,9 @@ For details on the use of the PSBLAS routines, see the PSBLAS User's Guide \cite ! sparse matrix type(psb_dspmat_type) :: A ! sparse matrix descriptor - type(psb_desc_type) :: DESC_A + type(psb_desc_type) :: desc_A ! preconditioner - type(mld_dprec_type) :: PRE + type(mld_dprec_type) :: P ... ... ! ! initialize the parallel environment @@ -114,116 +121,118 @@ For details on the use of the PSBLAS routines, see the PSBLAS User's Guide \cite ... ... ! ! initialize the default multi-level preconditioner -! (two-level hybrid post-smoothed Schwarz) - call mld_precinit(PRE,'ML',info) +! (two-level hybrid Schwarz, with ILU(0) as post-smoother +! and 4 Block-Jacobi sweeps, with ILU(0) on the blocks, +! as distributed coarsest-level solver) + call mld_precinit(P,'ML',info) ! ! build the preconditioner - call psb_precbld(A,PRE,DESC_A,info) + call psb_precbld(A,P,DESC_A,info) ! ! set the solver parameters and the initial guess ... ... ! ! solve Ax=b with preconditioned BiCGSTAB - call psb_krylov('BICGSTAB',A,PRE,b,x,tol,DESC_A,info) + call psb_krylov('BICGSTAB',A,P,b,x,tol,desc_A,info) ... ... ! -! cleanup the preconditioner - call mld_precfree(PRE,info) +! deallocate the preconditioner + call mld_precfree(P,info) ! -! cleanup other data structures +! deallocate other data structures ... ... ! ! exit the parallel environment call psb_exit(ictxt) stop \end{verbatim} - - -\textbf{MODIFICARE TUTTA LA PARTE CHE SEGUE:\\ -- solo istruzioni diverse dall'esempio precedente (essenzialmente il setting del precondizionatore, magari con piu' chiamate a precset;\\ -- lasciare l'osservazione sulla specifica esplicita del numero di livelli;\\ -- rimandare al paragrafo successivo per una decrizione accurata di tutti i parametri;\\ -- lasciare l'osservazione sui vecchi utenti di PSBLAS.}\\ - -In the following we describe the general procedure for setting and building one of the MLD2P4 preconditioners. -The user has first to prepare the preconditioner data structure by using the routine \verb|mld_precinit|. Input parameters -for this routine include a string parameter, needed to define the preconditioner type, and an optional integer parameter -specifying the number of the levels in the case of a multi-level preconditioner. -Note that if the optional parameter is not present and a multi-level preconditioner has been chosen, -a two-level preconditioner is set. On the other hand, the integer parameter is ignored if the type of the preconditioner is not multilevel. -In Table \ref{tab:precinit} we report both the possible choices for the preconditioner type -and the related default preconditioners. - - -The user of MLD2P4 may set a lot of parameters for one-level and multi-level Schwarz, in order -to define a different preconditioner than that of default choices. The parameters -can be set through the routine \verb|mld_precset|. The APIs of \verb|mld_precinit| and \verb|mld_precset| as well as the complete -list of the parameters that can be set with the corresponding allowed values are reported in Section \ref{sec:highlevel}. In the following a simple code -for a three-level hybrid post-smoothed Schwarz preconditioner, using RAS with overlap 1 as local preconditioner, -with ILU(0) on the local blocks, a distributed coarse matrix, four block-Jacobi sweeps with the UMFPACK LU -factorization on the blocks as coarse-matrix solver, is reported. Note that for the multi-level preconditioners, the levels are numbered in increasing -order starting from the finest one, i.e. level 1 is the finest level. -For more details, see the test program \verb|example2.f90| in xxxx(directory dei test).\\[0.5cm] - +} +\caption{Setup and application of the default multilevel Schwarz preconditioner. +\label{fig:example1}} +\end{center} +\end{figure} + +Different versions of multilevel preconditioner can be obtained by changing +the default values of the preconditioner parameters. The code reported in +Figure~\ref{fig:example2} shows how to set a three-level hybrid Schwarz preconditioner +using RAS with overlap 1 as post-smoother, a coarsest matrix replicated +on the processors and the LU factorization from UMFPACK 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, +which corresponds to the hybrid multilevel preconditioner); the type +of one-level AS preconditioner used as smoother (i.e.\ RAS) +and its ``position'' (i.e.\ pre-smoother) are not specified since they +are chosen by default when \verb|mld_precinit| is called. +The construction and the application of the preconditioner +are carried out as for the default multi-level preconditioner. + +As a further example, we report in Figure~\ref{fig:example3} the code +concerning the setup of a three-level additive multi-level preconditioner, +using ILU(0) as pre- and post-smoother, a distributed coarsest matrix and +five block-Jacobi sweeps as coarsest-level solver, with +ILU(0) on the local blocks. Again, \verb|mld_precset| is used only to set +the values of the parameters that are not default values. +For a detailed description of the parameters associated to a preconditioner +type, including their allowed and default values, the user is referred to +\textbf{SPECIFICARE.} + +An example program including the code fragments +shown in in Figures~\ref{fig:example2} and \ref{fig:example3} is in +\verb|XXX/.../example_3lev.f90|. \textbf{COMPLETARE. Fare un programma solo +per i due esempi, in cui uno e' commentato e l'altro no.} +One more example program, showing the setup and application of a one-level +additive Schwarz preconditioner can be found in \verb|XXX/.../example_1lev.f90|. +\textbf{COMPLETARE}. + +\begin{figure}[tbp] +\begin{center} +{\small \begin{verbatim} - use psb_base_mod - use psb_util_mod - use mld_prec_mod - use psb_krylov_mod ... ... -! -! sparse matrix - type(psb_dspmat_type) :: A -! sparse matrix descriptor - type(psb_desc_type) :: DESC_A -! preconditioner data - type(mld_dprec_type) :: PRE +! setup a three-level hybrid Schwarz preconditioner, +! using RAS with overlap 1 as post-smoother, a coarsest +! matrix replicated on the processors, and the LU +! factorization from UMFPACK as coarse-level solver + call mld_precinit(P,'ML',info,nlev=3) + call_mld_precset(P,mld_smooth_type_,'AS',info) + call mld_precset(P,mld_n_ovr_,1,info) + call mld_precset(P,mld_coarse_mat,'REPL') + call mld_precset(P,mld_coarse_solve,'UMF') ... ... -! -! initialization of the parallel environment +\end{verbatim} +} +\caption{Setup of a hybrid three-level Schwarz preconditioner.\label{fig:example2}} +\end{center} +\end{figure} - call psb_init(ictxt) - call psb_info(ictxt,iam,np) +\begin{figure}[tbp] +\begin{center} +{\small +\begin{verbatim} ... ... -! read and assemble the matrix A and the right-hand -! side vector b using PSBLAS routines for sparse -! matrix/vector management +! setup a three-level additive Schwarz preconditioner, +! using ILU(0) as pre- and post-smoother, five block-Jacobi +! sweeps as distributed coarsest-level solver, with ILU(0) +! on the local blocks + call mld_precinit(P,'ML',info,nlev=3) + call mld_precset(P,mld_ml_type_,'ADD',info) + call_mld_precset(P,mld_smooth_pos_,'TWOSIDE',info) + call mld_precset(P,mld_n_ovr_,1,info) + call mld_precset(P,mld_coarse_sweeps,5) + call mld_precset(P,mld_coarse_subsolve,'UMF') ... ... -! prepare the three-level hybrid post-smoothed Schwarz -! using RAS with overlap 1 as local preconditioner -! - call mld_precinit(PRE,'ML',info,nlev=3) - call mld_precset(PRE,mld_n_ovr_,novr=1,info,ilev=1) - call mld_precset(PRE,mld_sub_restr_,psb_halo_,info,ilev=1) -NOTA: e' PROPRIO BRUTTO "PSB_HALO_", BISOGNEREBBE AVERE COSTANTI CHE HANNO IL PREFISSO MLD! -! -! build preconditioner - call psb_precbld(A,PRE,DESC_A,info) -! -! set solver parameters and initial guess - ... ... -! solve Ax=b with preconditioned BiCGSTAB - - call psb_krylov('BICGSTAB',A,PRE,b,x,tol,DESC_A,info) - ... ... -! -! cleanup storage and exit -! - call mld_precfree(PRE,info) -! - call psb_gefree(b,DESC_A,info) - call psb_gefree(x,DESC_A,info) - call psb_spfree(A,DESC_A,info) - call psb_cdfree(DESC_A,info) -! - call psb_exit(ictxt) - stop - \end{verbatim} +} +\caption{Setup of an additive three-level Schwarz preconditioner.\label{fig:example3}} +\end{center} +\end{figure} -{\bf Remark for users with PSBLAS-based legacy codes:} when MLD2P4 is installed, a PSBLAS user, with a PSBLAS-based legacy code -calling base preconditioners included in PSBLAS (NOPREC, DIAG and BJAC), is able to use the same preconditioners without changes to the code, if she/he -includes in her/his program the file \verb|psb_prec_mod|. +\ \\ +\textbf{Note.} Any PSBLAS-based program using the basic preconditioners implemented in PSBLAS 2.0, +i.e.\ the diagonal and block-Jacobi ones, can use the diagonal and block-Jacobi preconditioners +implemented in MLD2P4 without any change in the code. The PSBLAS-base program must e only recompiled +and linked to the MLD2P4 library. %%% Local Variables: %%% mode: latex diff --git a/docs/pdf/highlevelview.tex b/docs/pdf/highlevelview.tex index 99ed7af1..3f5ae9e3 100644 --- a/docs/pdf/highlevelview.tex +++ b/docs/pdf/highlevelview.tex @@ -1,40 +1,217 @@ -\section{High-Level User Interface\label{sec:highlevel}} +\section{User Interface\label{sec:highlevel}} -At the upper layer of MLD2P4, five black-box routines encapsulate all the functionalities for the construction -and the application of any of the multi-level preconditioners. -In the following we give the details of the above routines. Note that for each routine are available four -different versions depending on involved data types: Real-Single/Double Precision, Complex-Single/Double Precision. +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 preconditioner implemented in the package. +The routine \verb|mld_precfree| deallocates the preconditioner data structure, while \verb|mld_precdescr| +prints a description of the preconditioner setup by the user. -\subsection{Preconditioner Setup and Building}\label{sec:setup} +For each routine, the same user interface is available independently of the real or complex case +and of the single or double precision. However, the appropriate preconditioner data type to be used with +each version of the package must be explicitly chosen by the user, i.e.\ a preconditioner data structure of type \verb|mld_|\emph{x}\verb|prec_type| must be declared, where \emph{x} = \verb|s| for real single precision, +\emph{x} = \verb|d| for real double precision, \emph{x} = \verb|c| for complex single precision, +\emph{x} = \verb|z| for complex double precision. A few parameters defining the preconditioner may be +real single or double precision, depending on the package version (see Section~\ref{sec:precset}). + +A description of each routine is given in the remainder of this section. + + +\subsection{Subroutine mld\_precinit\label{sec:precinit}} -The setup of a MLD2P4 preconditioner is obtained by using the \verb|mld_precinit| routine, which -allocates and initializes the preconditioner data structure. -The API of this routine as well as the description of the arguments is reported in Fig.~\ref{fig:prcinit}. -Note that the allowed values for the \verb|ptype| argument are reported in Table~\ref{tab:precinit} (Sec. \ref{sec:started}). -% -\begin{figure}[h] \begin{center} +\verb|mld_precinit(p,ptype,info)|\\ +\verb|mld_precinit(p,ptype,info,nlev)| +\end{center} + +\noindent +This routine allocates and initializes the preconditioner data structure, +according to the preconditioner type chosen by the user. + +\subsubsection*{Arguments} + +\begin{tabular}{p{1.2cm}p{10.6cm}} +\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.\\ +\verb|ptype| & \verb|character(len=*), intent(in)|.\\ + & The type of preconditioner. Its values are specified in Table~\ref{tab:precinit}.\\ +\verb|info| & \verb|integer, intent(out)|.\\ + & Error code. See Section~\ref{sec:errors} for details.\\ +\verb|nlev| & \verb|integer, optional, intent(in)|.\\ + & The number of levels of the multilevel preconditioner. + If \verb|nlev| is not present and \verb|ptype|='ML'/'ml', + then \verb|nlev|=2 is assumed. Otherwise, \verb|nlev| is ignored. +\end{tabular} + + +\subsection{Subroutine mld\_precset\label{sec:precset}} + +\begin{center} +\verb|mld_precset(p,what,val,info)|\\ +\verb|mld_precset(p,what,val,info,ilev)| +\end{center} + +\noindent +This routine sets the parameters defining the preconditioner. More +precisely, the parameter identified by \verb|what| is assigned the value +contained in \verb|val|. + +\subsubsection*{Arguments} + +\begin{tabular}{p{1.2cm}p{10.6cm}} +\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.\\ +\verb|what| & \verb|integer, intent(in)|. \\ + & The number identifying the parameter to be set. + A mnemonic constant has been associated to each of these + numbers, as reported in Table~\ref{tab:params}.\\ +\verb|val | & \verb|integer| \emph{or} \verb|character(len=*)| \emph{or} \verb|real(1.0)| + \emph{or} \verb|real(1.0d0)|,\\ + & \verb|intent(in)|.\\ + & The value of the parameter to be set. The list of allowed + values and the corresponding data types is given in Table~\ref{tab:params}.\\ +\verb|info| & \verb|integer, intent(out)|.\\ + & Error code. See Section~\ref{sec:errors} for details.\\ +\verb|ilev| & \verb|integer, optional, intent(in)|.\\ + & For the multilevel preconditioner, the level at which the + preconditioner parameter has to be set. The levels are numbered in increasing + order starting from the finest one, i.e.\ level 1 is the finest level. + If \verb|ilev| is not present, the parameter identified by \verb|what| + is set at all the appropriate levels (see Table~\ref{tab:params}). +\end{tabular} + +\ \\ +A variety of (one-level and multi-level) preconditioner can be obtained by a suitable +setting of the preconditioner parameters. These parameters can be logically divided into +four groups, i.e.\ parameters defining +\begin{enumerate} + \item the basic structure of the multi-level preconditioner; + \item the one-level preconditioner to be used as smoother; + \item the aggregation algorithm; + \item the coarse-space correction at the coarsest level. +\end{enumerate} + +A list of the parameters that can be set, along with their allowed and default values, and the levels +at which their are appropriate is given in Table~\ref{tab:params}. Note that the routines allows +to set different features of the preconditioner at each level through the use of \verb|ilev|. +This should be done by users with experience in the field of multi-level preconditioners. +Non-expert users are recommended to call \verb| mld_precset| without specifying \verb|ilev|. + + +\begin{table}[p] {\small -\begin{verbatim} -mld_precinit(p,ptype,info,nlev) +\begin{center} -Arguments: - p type(mld_dprec_type), input/output. - The preconditioner data structure. - ptype character, input. The type of preconditioner. - info integer, output. Error code. - nlev integer, optional, input. - The number of levels of the multilevel preconditioner. - If nlev is not present and ptype=`ML'/`ml', - then nlev=2 is assumed. - Otherwise, nlev is ignored. -\end{verbatim} -} +\textbf{QUESTA TABELLA VA RUOTATA DI 90 GRADI E SUDDIVISA IN DUE TABELLE, TOGLIENDO SMALL} + +\hspace*{-3cm} +\begin{tabular}{|l|l|p{1.5cm}|l|p{6cm}|} +\hline +\verb|what| & \emph{data type} & \verb|val| & \verb|ilev| & \emph{comments} \\ \hline +\multicolumn{5}{|c|}{\emph{basic structure of the multi-level preconditioner}} \\ \hline +\verb|mld_ml_type_| & \verb|character(len=*)| + & 'ADD', 'MULT' + & 2,...,\verb|nlev| + & basic multi-level framework: additive or multiplicative among the levels + (always additive inside a level); when \verb|ilev| is present, it refers + only to the combination of levels \verb|ilev|-1 and \verb|ilev|. \\ +\verb|mld_baseprec_type_|& \verb|character(len=*)| + & 'DIAG', 'BJAC', 'AS' + & 1,...,\verb|nlev|-1 + & basic one-level preconditioner (i.e.\ smoother) of the multi-level + preconditioner \textbf{CAMBIARE NOME COSTANTE; ora e' mld\_prec\_type, + ma questo puo' generare confusione!} \\ +\verb|mld_smooth_pos_| & \verb|character(len=*)| + & 'PRE', 'POST', 'BOTH' + & 2,...,\verb|nlev| + & ``position'' of the smoother: pre-smoother, post-smoother, pre-/post-smoother + \textbf{per l'utente NON HA SENSO settarlo ai livelli 2,..., nlev; l'utente + deve specificare un livello tra 1 e nlev-1 e la precset deve shiftare il livello + tenendo conto della struttura del tipo di dato precondizionatore} \\ \hline +\multicolumn{5}{|c|}{\emph{basic one-level preconditioner (smoother)}} \\ \hline +\verb|mld_n_ovr| & + & + & + & \\ +\verb|mld_sub_restr_| & + & + & + & \\ +\verb|mld_sub_prol_| & + & + & + & \\ +\verb|mld_sub_solve_| & + & + & + & \\ +\verb|mld_sub_fillin_| & + & + & + & \textbf{MODIFICA: fill\_in $-->$ fillin} \\ +\verb|mld_sub_thresh_| & + & + & + & \textbf{AGGIUNGERE THRESHOLD ILU(t)} \\ +\verb|mld_sub_ren_| & + & + & + & \textbf{MANCA COSTANTE STRINGA ASSOCIATA} \\ \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{NON E' DEFINITA LA STRINGA CORRISPONDENTE a mld\_max\_norm} \\ \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: fill\_in $-->$ fillin} \\ +\verb|mld_coarse_thresh_| & + & + & + & \textbf{AGGIUNGERE THRESHOLD ILU(t)} \\ \hline +\end{tabular} \end{center} -\caption{API of the routine for preconditioner allocation and inizialization.\label{fig:prcinit}} -\end{figure} -% -% +} +\caption{Parameters defining the preconditioner.\label{tab:precinit}} +\end{table} + +\clearpage + + +\noindent +=========================================\\ + \begin{figure}[h] \begin{center} {\small @@ -125,20 +302,7 @@ mld_precbld(a,desc_a,prec,info) In the following we report the list of possible parameters to be set through the \verb|mld_precset| routine, in order to choose the type of multi-level preconditioner. The parameters are classified depending on their scope. Note that for character data both uppercase and lowercase strings are allowed. -\begin{table}[h] -{\small \label{tab:prec_type} -\begin{tabular}{ll} -Parameter (\verb|what|) & Allowed values ( \verb|val|)\\ -\verb|mld_ml_type_| & 'ADD', 'MULT'\\ - & Define the type of multi-level preconditioner.\\ -\verb|mld_prec_type_| & 'DIAG', 'BJAC', 'AS' \\ - & Define the smoother at a certain level.\\ -\verb|mld_smooth_pos_| & 'PRE', 'POST', 'BOTH'\\ - & Define the way to apply the smoother.\\ -\end{tabular} -\caption{Parameters for preconditioner type.} -} -\end{table} + In order to build a coarse matrix from a fine one, this version of MLD2P4 implements the smoothed aggregation algorithm described in Section~\ref{sec:aggregation}. However, since for nonsymmetric problems the diff --git a/docs/pdf/overview.tex b/docs/pdf/overview.tex index 7278dae3..743232cf 100644 --- a/docs/pdf/overview.tex +++ b/docs/pdf/overview.tex @@ -1,30 +1,44 @@ \section{General Overview\label{sec:overview}} -The \emph{Multi-Level Domain Decomposition Parallel Preconditioners Package based on -PSBLAS (MLD2P4}) provides various versions of multi-level Schwarz preconditioners~\cite{DD2}, -to be used in the iterative solutions of sparse linear systems $Ax=b$, where -$A$ is a square, real or complex, sparse matrix with a symmetric sparsity pattern. -\textbf{Ma non abbiamo detto che, se il pattern di sparista' non e' simmetrico, -lavoriamo su $(A+A^T)/2$? Ma questo vale solo per l'aggregazione? Dovremmo fare -qualcosa di consistente anche con 1-lev Schwarz.} -Both additive and hybrid preconditioners, i.e.\ multiplicative among the levels +\markboth{\underline{MLD2P4 User's and Reference Guide}} + {\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}, +to be used in the iterative solutions of sparse linear systems: +\begin{equation} +Ax=b, +\label{system1} +\end{equation} +where $A$ is a square, real or complex, sparse matrix with a symmetric sparsity pattern. +% +%\textbf{NOTA: Caso non simmetrico, aggregazione con $(A+A^T)$ fatta! +%Dovremmo implementare uno smoothed prolongator +%adeguato e fare qualcosa di consistente anche con 1-lev Schwarz.} +% +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. A purely algebraic approach is used to +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 explicitly using any information on the geometry of the original problem (e.g.\ the -discretization of a PDE). The smoothed aggregation technique is applied -as algebraic coarsening strategy~\cite{}. +discretization of a PDE). The \emph{smoothed aggregation} technique is applied +as algebraic coarsening strategy~\cite{Vanek_Mandel_Brezina,Brezina_Vanek}. +\end{itemize} -The package is written in Fortran~95, using object-oriented techniques, -and is based on a distributed-memory parallel programming paradigm. \textbf{SALVATORE, -potresti aggiungere due righe sulla scelta del Fortran 95 e sul semplice interfacciamento -con i legacy codes, senza ripetere quello che e' detto sotto sulla scelta di PSBLAS?} +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. 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 PSBLAS (Parallel Sparse BLAS) computational framework~\cite{}. +in the context of the \emph{PSBLAS (Parallel Sparse BLAS) computational framework}~\cite{psblas_00}. PSBLAS is a library originally developed to address the parallel implementation of iterative solvers for sparse linear system, by providing basic linear algebra operators and data management facilities for distributed sparse matrices; it @@ -36,25 +50,24 @@ parallel sparse linear algebra kernels, to pursue goals such as performance, portability, modularity ed extensibility in the development of the preconditioner package. On the other hand, the implementation of MLD2P4 has led to some revisions and extentions of the PSBLAS kernels, leading to the -recent PSBLAS 2.0 version~\cite{}. The inter-process comunication required +recent PSBLAS 2.0 version~\cite{PSBLASGUIDE}. The inter-process comunication required by MLD2P4 is encapsulated into the PSBLAS routines, except few cases where -MPI~\cite{} is explicitly called. Therefore, MLD2P4 can be run on any parallel +MPI~\cite{MPI1} is explicitly called. Therefore, MLD2P4 can be run on any parallel machine where PSBLAS and MPI implementations are available. -MLD2P4 has a layered and modular software architecture where three main layers can be identified. The lower layer consists of the PSBLAS kernels, the middle one implements +MLD2P4 has a layered and modular software architecture where three main layers can be identified. +The lower layer consists of the PSBLAS kernels, the middle one implements the construction and application phases of the preconditioners, and the upper one provides a uniform and easy-to-use interface to all the preconditioners. This architecture allows for different levels of use of the package: -few black-box routines at the upper level allow non-expert users to easily +few black-box routines at the upper layer allow non-expert users to easily build any preconditioner available in MLD2P4 and to apply it within a PSBLAS Krylov solver. On the other hand, the routines of the middle and lower layer can be used and extended -by expert users to build new versions of multi-level Schwarz preconditioners.\\ - -\textbf{Organizzazione della guida:\\ -dire che per il momento non -forniamo anche la documentazione del middle layer, ma lo faremo in seguito\\} +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. -\textbf{Evidenziare le parole chiave che caratterizzano il nostro package} +This guide is organized as follows:\textbf{organizzazione della guida} %%% Local Variables: %%% mode: latex diff --git a/docs/userguide.pdf b/docs/userguide.pdf index 1b1c4a22..c34f727c 100644 --- a/docs/userguide.pdf +++ b/docs/userguide.pdf @@ -45,48 +45,54 @@ endobj << /S /GoTo /D (section.6) >> endobj 36 0 obj -(6 High-Level User Interface) +(6 User Interface) endobj 37 0 obj << /S /GoTo /D (subsection.6.1) >> endobj 40 0 obj -(6.1 Preconditioner Setup and Building) +(6.1 Subroutine mld\137precinit) endobj 41 0 obj -<< /S /GoTo /D (subsubsection.6.1.1) >> +<< /S /GoTo /D (subsection.6.2) >> endobj 44 0 obj -(6.1.1 List of the preconditioner parameters) +(6.2 Subroutine mld\137precset) endobj 45 0 obj -<< /S /GoTo /D (subsection.6.2) >> +<< /S /GoTo /D (subsubsection.6.2.1) >> endobj 48 0 obj -(6.2 Preconditioner Application) +(6.2.1 List of the preconditioner parameters) endobj 49 0 obj -<< /S /GoTo /D (section.7) >> +<< /S /GoTo /D (subsection.6.3) >> endobj 52 0 obj -(7 Advanced Use) +(6.3 Preconditioner Application) endobj 53 0 obj -<< /S /GoTo /D (section.8) >> +<< /S /GoTo /D (section.7) >> endobj 56 0 obj -(8 Error Handling) +(7 Advanced Use) endobj 57 0 obj -<< /S /GoTo /D (section.9) >> +<< /S /GoTo /D (section.8) >> endobj 60 0 obj -(9 List of Routines) +(8 Error Handling) endobj 61 0 obj -<< /S /GoTo /D [62 0 R /Fit ] >> +<< /S /GoTo /D (section.9) >> +endobj +64 0 obj +(9 List of Routines) 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Td[(tra)-598(1)-598(e)-598(nl)-1(ev-1)-598(e)-598(l)-1(a)-598(pr)1(ec)-1(s)1(et)-599(dev)32(e)]TJ 0 -11.9552 Td[(sh)1(i)-1(ft)-1(ar)1(e)-750(i)-1(l)-750(li)-1(v)32(ell)-1(o)-750(tenendo)-749(c)-1(on)33(t)-1(o)]TJ 0 -11.9552 Td[(dell)-1(a)-690(struttura)-690(del)-691(ti)-1(p)-31(o)-691(di)-691(d)1(at)-1(o)]TJ 0 -11.9551 Td[(precond)1(i)-1(zionat)-1(or)1(e)]TJ +ET +1 0 0 1 548.0836 429.162 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 107.5965 l +S +Q +1 0 0 1 -508.5093 -0.3985 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +508.7085 0.1992 l +S +Q +1 0 0 1 -0.1992 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -416.8083 cm +BT +/F20 9.9626 Tf 204.6986 420.3949 Td[(b)51(asic)-357(on)-1(e-)1(level)-357(pr)51(e)51(c)51(onditioner)-358(\050)1(smo)51(oth)-1(e)1(r\051)]TJ +ET +1 0 0 1 548.0836 416.8083 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.5093 -0.3985 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +508.7085 0.1992 l +S +Q +1 0 0 1 -0.1992 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -404.4546 cm +BT +/F48 9.9626 Tf 45.5519 408.0412 Td[(mld_n_ovr)]TJ +ET +1 0 0 1 155.9371 404.4546 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -392.4994 cm +BT +/F48 9.9626 Tf 45.5519 396.086 Td[(mld_sub_restr_)]TJ +ET +1 0 0 1 155.9371 392.4994 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -11.9551 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -380.5443 cm +BT +/F48 9.9626 Tf 45.5519 384.1309 Td[(mld_sub_prol_)]TJ +ET +1 0 0 1 155.9371 380.5443 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -368.5891 cm +BT +/F48 9.9626 Tf 45.5519 372.1757 Td[(mld_sub_solve_)]TJ +ET +1 0 0 1 155.9371 368.5891 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -356.6339 cm +BT +/F48 9.9626 Tf 45.5519 360.2205 Td[(mld_sub_fillin_)]TJ +ET +1 0 0 1 155.9371 356.6339 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -366.0497 -356.6339 cm +BT +/F41 9.9626 Tf 372.2265 360.2205 Td[(MOD)1(I)-1(F)1(ICA:)-384(\014ll)]TJ +ET +1 0 0 1 453.7492 360.2205 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +3.4371 0.1992 l +S +Q +1 0 0 1 -453.7492 -360.2205 cm +BT +/F41 9.9626 Tf 457.1863 360.2205 Td[(in)]TJ/F27 9.9626 Tf 13.3665 0 Td[(\000\000)]TJ/F24 9.9626 Tf 18.2648 0 Td[(>)]TJ/F41 9.9626 Tf 11.5678 0 Td[(\014ll)-1(in)]TJ +ET +1 0 0 1 548.0836 356.6339 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -23.9103 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -39.3751 -332.7236 cm +BT +/F48 9.9626 Tf 45.5519 348.2654 Td[(mld_sub_thresh_)]TJ +ET +1 0 0 1 155.9371 332.7236 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -366.0497 -332.7236 cm +BT +/F41 9.9626 Tf 372.2265 348.2654 Td[(A)32(G)-1(GIUNGE)1(R)-1(E)-1632(THR)-1(E)1(SHOLD)]TJ 0 -11.9552 Td[(ILU)1(\050)-1(t\051)]TJ +ET +1 0 0 1 548.0836 332.7236 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -508.7085 -23.9103 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -39.3751 -308.8133 cm +BT +/F48 9.9626 Tf 45.5519 324.355 Td[(mld_sub_ren_)]TJ +ET +1 0 0 1 155.9371 308.8133 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -366.0497 -308.8133 cm +BT +/F41 9.9626 Tf 372.2265 324.355 Td[(MANCA)-369(C)1(OST)96(A)-1(NTE)-368(STRINGA)]TJ 0 -11.9552 Td[(ASSOCIA)96(T)95(A)]TJ +ET +1 0 0 1 548.0836 308.8133 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -508.5092 -0.3985 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +508.7085 0.1992 l +S +Q +1 0 0 1 -0.1993 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -296.4596 cm +BT +/F20 9.9626 Tf 246.8276 300.0462 Td[(aggr)51(e)51(gation)-358(al)1(gorithm)]TJ +ET +1 0 0 1 548.0836 296.4596 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.5092 -0.3985 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +508.7085 0.1992 l +S +Q +1 0 0 1 -0.1993 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -284.1059 cm +BT +/F48 9.9626 Tf 45.552 287.6925 Td[(mld_aggr_alg_)]TJ +ET +1 0 0 1 155.9371 284.1059 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -272.1507 cm +BT +/F48 9.9626 Tf 45.5519 275.7373 Td[(mld_aggr_kind_)]TJ +ET +1 0 0 1 155.9371 272.1508 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -260.1956 cm +BT +/F48 9.9626 Tf 45.5519 263.7822 Td[(mld_aggr_thresh_)]TJ +ET +1 0 0 1 155.9371 260.1956 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -35.8655 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 35.8655 l +S +Q +1 0 0 1 -39.3751 -224.3301 cm +BT +/F48 9.9626 Tf 45.5519 251.827 Td[(mld_aggr_eig_)]TJ +ET +1 0 0 1 155.9371 224.3301 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 35.8655 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 35.8655 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 35.8655 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 35.8655 l +S +Q +1 0 0 1 -366.0497 -224.3301 cm +BT +/F41 9.9626 Tf 372.2265 251.827 Td[(NON)-2021(E')-2022(DEF)1(INIT)95(A)-2022(L)1(A)]TJ 0 -11.9552 Td[(STRING)-1(A)-523(CORR)-1(ISPONDE)1(NTE)]TJ 0 -11.9551 Td[(a)-383(m)-1(ld)]TJ +ET +1 0 0 1 401.3972 227.9167 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +3.4371 0.1992 l +S +Q +1 0 0 1 -401.3972 -227.9167 cm +BT +/F41 9.9626 Tf 404.8343 227.9167 Td[(max)]TJ +ET +1 0 0 1 426.6853 227.9167 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +3.4371 0.1992 l +S +Q +1 0 0 1 -426.6853 -227.9167 cm +BT +/F41 9.9626 Tf 430.1224 227.9167 Td[(nor)1(m)]TJ +ET +1 0 0 1 548.0836 224.3301 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 35.8655 l +S +Q +1 0 0 1 -508.5092 -0.3985 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +508.7085 0.1992 l +S +Q +1 0 0 1 -0.1993 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -211.9764 cm +BT +/F20 9.9626 Tf 199.7215 215.563 Td[(c)51(o)51(arse-)1(sp)51(ac)51(e)-358(c)51(orr)52(e)51(ction)-358(at)-358(th)-1(e)-357(c)51(o)51(arsest)-358(l)1(evel)]TJ +ET +1 0 0 1 548.0836 211.9764 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.5092 -0.3985 cm +q +[]0 d +0 J +0.3985 w +0 0.1992 m +508.7085 0.1992 l +S +Q +1 0 0 1 -0.1993 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -199.6227 cm +BT +/F48 9.9626 Tf 45.552 203.2093 Td[(mld_coarse_mat_)]TJ +ET +1 0 0 1 155.9371 199.6228 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -23.9104 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -39.3751 -175.7124 cm +BT +/F48 9.9626 Tf 45.5519 191.2542 Td[(mld_coarse_solve_)]TJ +ET +1 0 0 1 155.9371 175.7124 cm +q 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23.9103 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -366.0497 -151.8021 cm +BT +/F41 9.9626 Tf 372.2265 167.3438 Td[(VEDI)-851(OSSE)1(R)127(V)127(AZIONI)-851(EM)1(A)-1(IL)]TJ 0 -11.9551 Td[(15-16/06/08)]TJ +ET +1 0 0 1 548.0836 151.8021 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 23.9103 l +S +Q +1 0 0 1 -508.7085 -11.9552 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -39.3751 -139.8469 cm +BT +/F48 9.9626 Tf 45.5519 143.4335 Td[(mld_coarse_sweeps_)]TJ +ET +1 0 0 1 155.9371 139.8469 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 95.6406 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 54.4749 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 59.9971 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 182.0339 0 cm +q +[]0 d +0 J +0.3985 w +0.1992 0 m +0.1992 11.9552 l +S +Q +1 0 0 1 -508.7085 -11.9552 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Td[(solv)28(e)-1(r)1(.)-462(All)-339(th)1(e)-340(p)1(arame)-1(ters)-339(are)-340(r)1(e)-1(p)-27(orted)-339(in)-338(T)83(able)]TJ +/F15 10.9091 Tf 139.3363 529.013 Td[(Wh)1(e)-1(n)-269(a)-270(S)1(c)27(h)28(w)28(arz)-270(al)1(gorith)1(m)-270(is)-270(considered)-270(as)-270(smo)-28(other)-269(at)-270(a)-269(c)-1(er-)]TJ -16.9365 -13.5492 Td[(tain)-382(lev)28(e)-1(l)-382(or)-383(as)-383(on)1(e)-1(-lev)28(e)-1(l)-382(prec)-1(on)1(di)1(tioner,)-395(th)1(e)-383(use)-1(r)-382(m)-1(a)28(y)-382(s)-1(et)-383(man)28(y)]TJ 0 -13.5492 Td[(par)1(am)-1(eters)-376(in)-375(ord)1(e)-1(r)-375(to)-376(c)28(ho)-28(ose)-376(the)-376(t)28(yp)-27(e)-376(of)-375(addi)1(tiv)28(e)-376(Sc)28(h)28(w)27(ar)1(z)-376(v)28(e)-1(r)1(-)]TJ 0 -13.5492 Td[(sion)-357(\050AS,RAS)1(,ASH\051,)-357(th)1(e)-358(n)28(um)28(b)-28(er)-357(of)-358(o)28(v)28(erlap)1(s)-358(as)-358(w)27(ell)-357(as)-358(the)-358(lo)-28(cal)]TJ 0 -13.5492 Td[(solv)28(e)-1(r)1(.)-462(All)-339(th)1(e)-340(p)1(arame)-1(ters)-339(are)-340(r)1(e)-1(p)-27(orted)-339(in)-338(T)83(able)]TJ ET -1 0 0 1 356.37 518.5811 cm +1 0 0 1 356.37 474.8162 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -356.37 -518.5811 cm +1 0 0 1 -356.37 -474.8162 cm BT -/F15 10.9091 Tf 356.37 518.5811 Td[(6.1.1)]TJ +/F15 10.9091 Tf 356.37 474.8162 Td[(6.2.1)]TJ ET -1 0 0 1 378.7943 518.5811 cm +1 0 0 1 378.7943 474.8162 cm 0 g 0 G -1 0 0 1 -378.7943 -518.5811 cm +1 0 0 1 -378.7943 -474.8162 cm BT -/F15 10.9091 Tf 378.7943 518.5811 Td[(.)-462(Its)-339(w)27(or)1(th)]TJ +/F15 10.9091 Tf 378.7943 474.8162 Td[(.)-462(Its)-339(w)27(or)1(th)]TJ ET -1 0 0 1 122.3998 504.0595 cm +1 0 0 1 122.3998 460.9511 cm 0 g 0 G -1 0 0 1 -122.3998 -504.0595 cm +1 0 0 1 -122.3998 -460.9511 cm BT -/F15 9.9626 Tf 128.3774 495.6909 Td[(P)28(ar)1(am)-1(ete)-1(r)-5052(Allo)28(w)28(e)-1(d)-333(v)56(alu)1(e)-1(s)]TJ 0 -11.9552 Td[(\050)]TJ/F55 9.9626 Tf 3.8744 0 Td[(what)]TJ/F15 9.9626 Tf 20.9213 0 Td[(\051)-6722(\050)]TJ/F55 9.9626 Tf 74.7193 0 Td[(val)]TJ/F15 9.9626 Tf 15.691 0 Td[(\051)]TJ/F55 9.9626 Tf -115.206 -11.9551 Td[(mld_n_ovr_)]TJ/F15 9.9626 Tf 95.6406 0 Td[(Num)28(b)-27(e)-1(r)-333(of)-333(o)28(v)28(erlap)1(s)]TJ/F55 9.9626 Tf -95.6406 -11.9552 Td[(mld_sub_restr_)]TJ/F15 9.9626 Tf 95.6406 0 Td[('HALO')1(,)-333('NONE')]TJ/F55 9.9626 Tf -95.6406 -11.9552 Td[(mld_sub_prol_)]TJ/F15 9.9626 Tf 95.6406 0 Td[('S)1(UM',)-333('NO)1(NE')]TJ/F55 9.9626 Tf -95.6406 -11.9551 Td[(mld_sub_solve_)]TJ/F15 9.9626 Tf 95.6406 0 Td[('ILU',)-333('M)1(ILU',)-333('ILUT',)-333('SLU')1(,)-334(')1(UMF')]TJ/F55 9.9626 Tf -95.6406 -11.9552 Td[(mld_sub_ren_)]TJ/F15 9.9626 Tf 95.6406 0 Td[(MANCANO)-333(LE)-333(S)1(T)-1(RINGHE)]TJ/F55 9.9626 Tf -95.6406 -11.9552 Td[(mld_sub_fill_in_)]TJ/F15 9.9626 Tf 95.6406 0 Td[(lev)28(e)-1(l)-333(of)-333(\014)1(ll-in)-333(in)-332(lo)-28(cal)-334(d)1(iagonal)-333(b)1(lo)-28(c)28(ks)-1(,)-333(when)-333(ILU-t)28(yp)-28(e)-333(factorization)1(s)-334(are)-334(u)1(s)-1(ed)]TJ +/F15 9.9626 Tf 128.3774 452.5825 Td[(P)28(ar)1(am)-1(ete)-1(r)-5052(Allo)28(w)28(e)-1(d)-333(v)56(alu)1(e)-1(s)]TJ 0 -11.9552 Td[(\050)]TJ/F48 9.9626 Tf 3.8744 0 Td[(what)]TJ/F15 9.9626 Tf 20.9213 0 Td[(\051)-6722(\050)]TJ/F48 9.9626 Tf 74.7193 0 Td[(val)]TJ/F15 9.9626 Tf 15.691 0 Td[(\051)]TJ/F48 9.9626 Tf -115.206 -11.9551 Td[(mld_n_ovr_)]TJ/F15 9.9626 Tf 95.6406 0 Td[(Num)28(b)-27(e)-1(r)-333(of)-333(o)28(v)28(erlap)1(s)]TJ/F48 9.9626 Tf -95.6406 -11.9552 Td[(mld_sub_restr_)]TJ/F15 9.9626 Tf 95.6406 0 Td[('HALO')1(,)-333('NONE')]TJ/F48 9.9626 Tf -95.6406 -11.9552 Td[(mld_sub_prol_)]TJ/F15 9.9626 Tf 95.6406 0 Td[('S)1(UM',)-333('NO)1(NE')]TJ/F48 9.9626 Tf -95.6406 -11.9551 Td[(mld_sub_solve_)]TJ/F15 9.9626 Tf 95.6406 0 Td[('ILU',)-333('M)1(ILU',)-333('ILUT',)-333('SLU')1(,)-334(')1(UMF')]TJ/F48 9.9626 Tf -95.6406 -11.9552 Td[(mld_sub_ren_)]TJ/F15 9.9626 Tf 95.6406 0 Td[(MANCANO)-333(LE)-333(S)1(T)-1(RINGHE)]TJ/F48 9.9626 Tf -95.6406 -11.9552 Td[(mld_sub_fill_in_)]TJ/F15 9.9626 Tf 95.6406 0 Td[(lev)28(e)-1(l)-333(of)-333(\014)1(ll-in)-333(in)-332(lo)-28(cal)-334(d)1(iagonal)-333(b)1(lo)-28(c)28(ks)-1(,)-333(when)-333(ILU-t)28(yp)-28(e)-333(factorization)1(s)-334(are)-334(u)1(s)-1(ed)]TJ ET -1 0 0 1 123.8606 389.2774 cm +1 0 0 1 123.8606 346.169 cm 0 g 0 G -1 0 0 1 -123.8606 -389.2774 cm +1 0 0 1 -123.8606 -346.169 cm BT -/F15 10.9091 Tf 123.8606 389.2774 Td[(T)83(ab)1(le)-334(5:)-444(P)28(aramete)-1(r)1(s)-334(for)-333(S)1(c)27(h)28(w)28(arz)-334(smo)-28(other/p)1(rec)-1(on)1(diti)1(oner)-333(t)27(y)1(p)-28(e.)]TJ +/F15 10.9091 Tf 123.8606 346.169 Td[(T)83(ab)1(le)-334(5:)-444(P)28(aramete)-1(r)1(s)-334(for)-333(S)1(c)27(h)28(w)28(arz)-334(smo)-28(other/p)1(rec)-1(on)1(diti)1(oner)-333(t)27(y)1(p)-28(e.)]TJ ET -1 0 0 1 429.1942 389.2774 cm +1 0 0 1 429.1942 346.169 cm 0 g 0 G 1 0 0 1 -306.7944 -2.7273 cm 0 g 0 G -1 0 0 1 -122.3998 -386.5501 cm +1 0 0 1 -122.3998 -343.4417 cm BT -/F15 10.9091 Tf 122.3998 362.7217 Td[(not)1(ing)-403(th)1(at,)-421(th)1(e)-404(class)-1(ical)-403(AS)-403(metho)-28(d)-402(c)-1(or)1(res)-1(p)-27(ond)1(s)-404(to)-403(th)1(e)-404(coupl)1(e)]TJ 0 -13.5492 Td[(of)-321(v)56(alues)-322('HALO')-321(and)-321('S)1(UM')-321(of)-321(the)-322(argu)1(m)-1(en)28(t)]TJ/F55 10.9091 Tf 220.4316 0 Td[(val)]TJ/F15 10.9091 Tf 17.1816 0 Td[(,)-324(f)1(or)-322(t)1(he)-322(v)56(alues)]TJ/F55 10.9091 Tf -237.6132 -13.5492 Td[(mld_sub_restr_)]TJ/F15 10.9091 Tf 84.1997 0 Td[(and)]TJ/F55 10.9091 Tf 21.5945 0 Td[(mld_sub_prol_)]TJ/F15 10.9091 Tf 78.4725 0 Td[(of)-368(th)1(e)-369(argu)1(m)-1(en)28(t)]TJ/F55 10.9091 Tf 81.1775 0 Td[(what)]TJ/F15 10.9091 Tf 22.9088 0 Td[(,)-377(re-)]TJ -288.353 -13.5492 Td[(sp)-28(ec)-1(ti)1(v)28(e)-1(ly)84(.)-459(W)1(hile,)-339(th)1(e)-339(RAS)-338(me)-1(th)1(o)-28(d)-338(corr)1(e)-1(sp)-28(on)1(ds)-338(to)-338(the)-338(c)-1(ou)1(ple)-338(of)]TJ 0 -13.5492 Td[(v)56(alues)-368(')1(NONE')-367(an)1(d)-367('S)1(UM')-367(an)1(d)-367(AS)1(H)-367(m)-1(etho)-27(d)-367(c)-1(or)1(res)-1(p)-27(ond)1(s)-368(to)-367(th)1(e)]TJ 0 -13.5492 Td[(coupl)1(e)-334(of)-333(v)56(alues)-334('HALO)1(')-333(and)-333('NO)1(NE'.)]TJ/F19 11.9552 Tf 0 -30.4849 Td[(6.)-1(2)-1125(Pre)-1(condi)-1(ti)-1(one)-1(r)-375(Appli)-1(ca)1(t)-1(io)-1(n)]TJ/F15 10.9091 Tf 0 -21.0272 Td[(On)1(c)-1(e)-277(t)1(he)-277(p)1(rec)-1(on)1(diti)1(oner)-276(has)-277(b)-27(e)-1(en)-276(bu)1(ilt,)-287(it)-276(ma)27(y)-276(b)-27(e)-277(ap)1(plied)-276(at)-276(e)-1(ac)28(h)]TJ 0 -13.5492 Td[(iterati)1(on)-339(of)-339(a)-339(K)1(rylo)28(v)-339(solv)28(er)-339(b)28(y)-339(calli)1(ng)-339(th)1(e)-340(rou)1(tin)1(e)]TJ/F55 10.9091 Tf 239.5287 0 Td[(mld_precaply)]TJ/F15 10.9091 Tf -239.5287 -13.5492 Td[(\050CAMBIARE)-222(NOM)1(E)-222(R)28(OUTI)-1(NE)-221(NEL)-222(S)1(OFTW)111(ARE)-222(E)1(VIT)83(ANDO)]TJ 0 -13.5492 Td[(L'UNDE)1(RSCORE\051)1(,)-377(whose)-378(AP)1(I)-377(is)-377(s)-1(h)1(o)28(w)-1(n)-376(in)-376(Figu)1(re)]TJ +/F15 10.9091 Tf 122.3998 320.2698 Td[(not)1(ing)-403(th)1(at,)-421(th)1(e)-404(class)-1(ical)-403(AS)-403(metho)-28(d)-402(c)-1(or)1(res)-1(p)-27(ond)1(s)-404(to)-403(th)1(e)-404(coupl)1(e)]TJ 0 -13.5492 Td[(of)-321(v)56(alues)-322('HALO')-321(and)-321('S)1(UM')-321(of)-321(the)-322(argu)1(m)-1(en)28(t)]TJ/F48 10.9091 Tf 220.4316 0 Td[(val)]TJ/F15 10.9091 Tf 17.1816 0 Td[(,)-324(f)1(or)-322(t)1(he)-322(v)56(alues)]TJ/F48 10.9091 Tf -237.6132 -13.5492 Td[(mld_sub_restr_)]TJ/F15 10.9091 Tf 84.1997 0 Td[(and)]TJ/F48 10.9091 Tf 21.5945 0 Td[(mld_sub_prol_)]TJ/F15 10.9091 Tf 78.4725 0 Td[(of)-368(th)1(e)-369(argu)1(m)-1(en)28(t)]TJ/F48 10.9091 Tf 81.1775 0 Td[(what)]TJ/F15 10.9091 Tf 22.9088 0 Td[(,)-377(re-)]TJ -288.353 -13.5492 Td[(sp)-28(ec)-1(ti)1(v)28(e)-1(ly)84(.)-459(W)1(hile,)-339(th)1(e)-339(RAS)-338(me)-1(th)1(o)-28(d)-338(corr)1(e)-1(sp)-28(on)1(ds)-338(to)-338(the)-338(c)-1(ou)1(ple)-338(of)]TJ 0 -13.5492 Td[(v)56(alues)-368(')1(NONE')-367(an)1(d)-367('S)1(UM')-367(an)1(d)-367(AS)1(H)-367(m)-1(etho)-27(d)-367(c)-1(or)1(res)-1(p)-27(ond)1(s)-368(to)-367(th)1(e)]TJ 0 -13.5492 Td[(coupl)1(e)-334(of)-333(v)56(alues)-334('HALO)1(')-333(and)-333('NO)1(NE'.)]TJ/F19 11.9552 Tf 0 -29.1132 Td[(6.)-1(3)-1125(Pre)-1(condi)-1(ti)-1(one)-1(r)-375(Appli)-1(ca)1(t)-1(io)-1(n)]TJ/F15 10.9091 Tf 0 -20.5946 Td[(On)1(c)-1(e)-277(t)1(he)-277(p)1(rec)-1(on)1(diti)1(oner)-276(has)-277(b)-27(e)-1(en)-276(bu)1(ilt,)-287(it)-276(ma)27(y)-276(b)-27(e)-277(ap)1(plied)-276(at)-276(e)-1(ac)28(h)]TJ 0 -13.5492 Td[(iterati)1(on)-339(of)-339(a)-339(K)1(rylo)28(v)-339(solv)28(er)-339(b)28(y)-339(calli)1(ng)-339(th)1(e)-340(rou)1(tin)1(e)]TJ/F48 10.9091 Tf 239.5287 0 Td[(mld_precaply)]TJ/F15 10.9091 Tf -239.5287 -13.5492 Td[(\050CAMBIARE)-222(NOM)1(E)-222(R)28(OUTI)-1(NE)-221(NEL)-222(S)1(OFTW)111(ARE)-222(E)1(VIT)83(ANDO)]TJ 0 -13.5492 Td[(L'UNDE)1(RSCORE\051)1(,)-377(whose)-378(AP)1(I)-377(is)-377(s)-1(h)1(o)28(w)-1(n)-376(in)-376(Figu)1(re)]TJ ET -1 0 0 1 371.0883 202.816 cm +1 0 0 1 371.0883 162.1684 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -371.0883 -202.816 cm +1 0 0 1 -371.0883 -162.1684 cm BT -/F15 10.9091 Tf 371.0883 202.816 Td[(5)]TJ +/F15 10.9091 Tf 371.0883 162.1684 Td[(7)]TJ ET -1 0 0 1 376.5428 202.816 cm +1 0 0 1 376.5428 162.1684 cm 0 g 0 G -1 0 0 1 -376.5428 -202.816 cm +1 0 0 1 -376.5428 -162.1684 cm BT -/F15 10.9091 Tf 376.5428 202.816 Td[(.)-575(Thi)1(s)-378(r)1(ou-)]TJ -254.143 -13.5492 Td[(tin)1(e)-407(comput)1(e)-1(s)]TJ/F11 10.9091 Tf 71.9496 0 Td[(y)]TJ/F15 10.9091 Tf 10.0917 0 Td[(=)]TJ/F11 10.9091 Tf 12.8367 0 Td[(op)]TJ/F15 10.9091 Tf 10.7765 0 Td[(\050)]TJ/F11 10.9091 Tf 4.2425 0 Td[(M)]TJ/F28 7.9701 Tf 11.7727 3.9588 Td[(\000)]TJ/F22 7.9701 Tf 6.5865 0 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/Type /Page -/Contents 276 0 R -/Resources 274 0 R +/Contents 335 0 R +/Resources 333 0 R /MediaBox [0 0 595.2756 841.8898] -/Parent 255 0 R +/Parent 332 0 R >> endobj -277 0 obj << -/D [275 0 R /XYZ 122.3998 740.0018 null] +336 0 obj << +/D [334 0 R /XYZ 122.3998 740.0018 null] >> endobj -278 0 obj << -/D [275 0 R /XYZ 122.3998 683.3767 null] +144 0 obj << +/D [334 0 R /XYZ 122.3998 683.3767 null] >> endobj -279 0 obj << -/D [275 0 R /XYZ 122.3998 622.9408 null] +337 0 obj << +/D [334 0 R /XYZ 122.3998 622.9408 null] >> endobj -280 0 obj << -/D [275 0 R /XYZ 122.3998 544.1072 null] +338 0 obj << +/D [334 0 R /XYZ 122.3998 544.1072 null] >> endobj -281 0 obj << -/D [275 0 R /XYZ 122.3998 467.0918 null] +339 0 obj << +/D [334 0 R /XYZ 122.3998 467.0918 null] >> endobj -282 0 obj << -/D [275 0 R /XYZ 122.3998 417.7809 null] +340 0 obj << +/D [334 0 R /XYZ 122.3998 417.7809 null] >> endobj -283 0 obj << -/D [275 0 R /XYZ 122.3998 368.1669 null] +341 0 obj << +/D [334 0 R /XYZ 122.3998 368.1669 null] >> endobj -284 0 obj << -/D [275 0 R /XYZ 122.3998 332.1022 null] +342 0 obj << +/D [334 0 R /XYZ 122.3998 332.1022 null] >> endobj -285 0 obj << -/D [275 0 R /XYZ 122.3998 282.4882 null] +149 0 obj << +/D [334 0 R /XYZ 122.3998 282.4882 null] >> endobj -286 0 obj << -/D [275 0 R /XYZ 122.3998 232.8742 null] +343 0 obj << +/D [334 0 R /XYZ 122.3998 232.8742 null] >> endobj -287 0 obj << -/D [275 0 R /XYZ 122.3998 185.3815 null] +344 0 obj << +/D [334 0 R /XYZ 122.3998 185.3815 null] >> endobj -274 0 obj << -/Font << /F15 87 0 R /F42 93 0 R /F55 146 0 R >> +333 0 obj << +/Font << /F15 91 0 R /F43 131 0 R /F20 134 0 R /F48 161 0 R >> /ProcSet [ /PDF /Text ] >> endobj -240 0 obj << +291 0 obj << /Length1 735 /Length2 1050 /Length3 532 @@ -2821,7 +5354,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /LNPZXI+CMR8 def +/FontName /TGCIGN+CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -2849,37 +5382,37 @@ Df cleartomark endstream endobj -241 0 obj << +292 0 obj << /Type /Font /Subtype /Type1 -/Encoding 288 0 R +/Encoding 345 0 R /FirstChar 49 /LastChar 49 -/Widths 289 0 R -/BaseFont /LNPZXI+CMR8 -/FontDescriptor 239 0 R +/Widths 346 0 R +/BaseFont /TGCIGN+CMR8 +/FontDescriptor 290 0 R >> endobj -239 0 obj << +290 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /LNPZXI+CMR8 +/FontName /TGCIGN+CMR8 /ItalicAngle 0 /StemV 76 /XHeight 431 /FontBBox [-36 -250 1070 750] /Flags 4 /CharSet (/one) -/FontFile 240 0 R +/FontFile 291 0 R >> endobj -289 0 obj +346 0 obj [531 ] endobj -288 0 obj << +345 0 obj << /Type /Encoding /Differences [ 0 /.notdef 49/one 50/.notdef] >> endobj -237 0 obj << +288 0 obj << /Length1 745 /Length2 580 /Length3 532 @@ -2899,7 +5432,7 @@ stream /ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /WTRNEZ+CMSY8 def +/FontName /LKJRLX+CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -2922,37 +5455,37 @@ V cleartomark endstream endobj -238 0 obj << +289 0 obj << /Type /Font /Subtype /Type1 -/Encoding 290 0 R +/Encoding 347 0 R /FirstChar 0 /LastChar 0 -/Widths 291 0 R -/BaseFont /WTRNEZ+CMSY8 -/FontDescriptor 236 0 R +/Widths 348 0 R +/BaseFont /LKJRLX+CMSY8 +/FontDescriptor 287 0 R >> endobj -236 0 obj << +287 0 obj << /Ascent 750 /CapHeight 683 /Descent -194 -/FontName /WTRNEZ+CMSY8 +/FontName /LKJRLX+CMSY8 /ItalicAngle -14.035 /StemV 89 /XHeight 431 /FontBBox [-30 -955 1185 779] /Flags 4 /CharSet (/minus) -/FontFile 237 0 R +/FontFile 288 0 R >> endobj -291 0 obj +348 0 obj [826 ] endobj -290 0 obj << +347 0 obj << /Type /Encoding /Differences [ 0 /minus 1/.notdef] >> endobj -224 0 obj << +274 0 obj << /Length1 735 /Length2 1053 /Length3 532 @@ -2972,7 +5505,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /AFSEGC+CMR7 def +/FontName /SNYTTS+CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -3000,37 +5533,37 @@ _2 cleartomark endstream endobj -225 0 obj << +275 0 obj << /Type /Font /Subtype /Type1 -/Encoding 292 0 R +/Encoding 349 0 R /FirstChar 49 /LastChar 49 -/Widths 293 0 R -/BaseFont /AFSEGC+CMR7 -/FontDescriptor 223 0 R +/Widths 350 0 R +/BaseFont /SNYTTS+CMR7 +/FontDescriptor 273 0 R >> endobj -223 0 obj << +273 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /AFSEGC+CMR7 +/FontName /SNYTTS+CMR7 /ItalicAngle 0 /StemV 79 /XHeight 431 /FontBBox [-27 -250 1122 750] /Flags 4 /CharSet (/one) -/FontFile 224 0 R +/FontFile 274 0 R >> endobj -293 0 obj +350 0 obj [569 ] endobj -292 0 obj << +349 0 obj << /Type /Encoding /Differences [ 0 /.notdef 49/one 50/.notdef] >> endobj -221 0 obj << +271 0 obj << /Length1 745 /Length2 581 /Length3 532 @@ -3050,7 +5583,7 @@ stream /ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /TZTOEW+CMSY7 def +/FontName /MZZNKR+CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -3073,41 +5606,115 @@ A cleartomark endstream endobj -222 0 obj << +272 0 obj << /Type /Font /Subtype /Type1 -/Encoding 294 0 R +/Encoding 351 0 R /FirstChar 0 /LastChar 0 -/Widths 295 0 R -/BaseFont /TZTOEW+CMSY7 -/FontDescriptor 220 0 R +/Widths 352 0 R +/BaseFont /MZZNKR+CMSY7 +/FontDescriptor 270 0 R >> endobj -220 0 obj << +270 0 obj << /Ascent 750 /CapHeight 683 /Descent -194 -/FontName /TZTOEW+CMSY7 +/FontName /MZZNKR+CMSY7 /ItalicAngle -14.035 /StemV 93 /XHeight 431 /FontBBox [-15 -951 1252 782] /Flags 4 /CharSet (/minus) -/FontFile 221 0 R +/FontFile 271 0 R >> endobj -295 0 obj +352 0 obj [893 ] endobj -294 0 obj << +351 0 obj << /Type /Encoding /Differences [ 0 /minus 1/.notdef] >> endobj -145 0 obj << -/Length1 1907 -/Length2 11959 +263 0 obj << +/Length1 745 +/Length2 1134 +/Length3 532 +/Length 2411 +>> +stream +%!PS-AdobeFont-1.1: CMMI8 1.100 +%%CreationDate: 1996 Jul 23 07:53:54 +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.100) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMMI8) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +end readonly def +/FontName /STHRJU+CMMI8 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 84 /T put +readonly def +/FontBBox{-24 -250 1110 750}readonly def +currentdict end +currentfile eexec +oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# +]LeVߐGoo٥\k 9M֨[G(aܘ|RP6n=: b9s2m4{~CD%xSd,&jA x"ПmѬ,+;ŝboB|ծTboI*VDZBJϟ2a{Y0Q(/e@AGƀ挄п]w}ga8.ݲ cS,t^Ujq.or!N]@j +Gē75uʑm$KWNWVF2P,KP˻ 62abw;SBֳ{ u&DChNe^L2Ib^ǞY62"CSl5X!okR6D UjT|S{G3:6A| ٺJ 33kLKEnMpٽqlHZoxV KË=]L+e4fv:*ys%kٞ((~~{O{m_NPJ> endobj +262 0 obj << +/Ascent 694 +/CapHeight 683 +/Descent -194 +/FontName /STHRJU+CMMI8 +/ItalicAngle -14.04 +/StemV 78 +/XHeight 431 +/FontBBox [-24 -250 1110 750] +/Flags 4 +/CharSet (/T) +/FontFile 263 0 R +>> endobj +354 0 obj +[619 ] +endobj +353 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 84/T 85/.notdef] +>> endobj +160 0 obj << +/Length1 1917 +/Length2 12186 /Length3 532 -/Length 14398 +/Length 14635 >> stream %!PS-AdobeFont-1.1: CMTT10 1.00B @@ -3123,14 +5730,13 @@ stream /ItalicAngle 0 def /isFixedPitch true def end readonly def -/FontName /SAYLWH+CMTT10 def +/FontName /KKJGGI+CMTT10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 33 /exclam put -dup 34 /quotedbl put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put @@ -3144,6 +5750,7 @@ dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put +dup 53 /five put dup 56 /eight put dup 57 /nine put dup 58 /colon put @@ -3159,6 +5766,7 @@ dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put +dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put @@ -3210,47 +5818,56 @@ currentfile eexec ;଍ Kr^ox7p4= CyO#y[49'n*xx/J}o֯p6Oޏe}hà1W6Ϋ%(i]Ii 텴""b3=5sJzbJ>[Wе H 2"ێ0Oy9.t:=$EǪ ]to`% 'EKKfrRK^y`vO^v~ZwR iNMW3HSp+T,q!s0(ع;U+3"J8q3dJ`77+IuؿhH<=!'T́2.r% -v y*S\L$r)_`5_O㛘H&ESq=* 4vDg%+POS6ՕlQz0ȝ/A+fA!PͪzVe.&(՛BEGI n6^0QMvn$1S (DMѰgifPjs-(2'`wzAN&> _tOz`Mu~o$'6L[ݽz> X 7 ٣"c8t$BjgOHtMI̓E);s:(cܶ- ucӁ žBMQ)+\ V0'އB5[|0c 5MV"v-2gM -vסpeS duu+;<nL -.>3e}TQ l:"Pq%/k|3m ACs/8;\ V0$ILu1[&:E nM¯˧srW)3"G9=4Z&񮣡Ѱ^P>ז姜aw5{ladjEd7,O_Ұ2OeJejF8+WТz"ްcUc6&B >)LPs"@yֹU[gULe${ʇZ:]gM7`Ҷ=v!VXptȢof-S0n DJre8FvX1 -&3hsrpGOER!; xqm&\d=:R.D>}ZG_ziP wQsvΙ30kND#C?X* XH nUw}6uHF /-ml3A/Y /bz>;6w,K僜!d%oo_ykȗQEd.Ck4 FgȜJ9f.FE"\0L?̷(RtT^Y}d.!.!X 4 GJ|/wǜV 4uL#1rrŕLVdEO,y:HZ-|V,Nǀ_ea5_m -%þjB)oɢ롊/yػnhb8sI`DDq)]p8bo( jocb,o]I`e`Ob QC](Q8]q ``-)i`5AX n ۣ>j!H앑lf `}x75ư_@u!Y]x^snxшu-fU$--N -h}ByF+<]0 87rì{v1:c/ :gnjA#UV|Ǥ½TY\Kdh;d"kPaoۺ%;dVt[@ZgCdwC;ڏis~?;4tFӾ,ЛGK.I$ HbʣTN( < GՁv,&mEy3=?ݜJ8'u`BsݴmW>V0چɸҏR1քE0} -j" R)5nߺ{zGdCwnͩ\k7],+"g׍5OT@:67U |+GMTZd|3n5qԶ->5oEVŏVM=ߠ}YTnp95_d:h1R QʬNGPmcRE /]Ճtv1$]+|LA -!4,#wVs[ pHr,;V)0YXd13MquRX(3s\ R۫6v4ԭ3 -$ xPPҎ.Dsu[$fc;M5vWz/'65h ^iO1vQx dy;K.Dʐ+RWX i<4/"β`f^Ż$ g&:t[\Fw^ŎX[4WhФvح_3{S0A%i'jQ{:IT8x=77fk]Q,42i:k6jSHA61Mw^O< \ƌL9M,=ZAM@.X,r q-<.Zy\ JIaO狤ij ?NH3kz7v%S0r/+5f)5FJ!^[ x[\D$Yf|z&+z!sށ~lqF  -J0pVthU;c>QV Z /݊@i=LMɖOz+^3 }[.z? -GT%X > -C}6zdq΋ժ"qPq:"B@BJeqAo؜8Me?#+z@$&_*4ʜI s"'ӛZ{BG'rLke~Gб ><H('$+X^T:Jm"?61-i};^B,u)Whc7e^q3 T.%c0 U7gL.n[݀tD>o^,+GT^]}jg@2q)"fJ[Y ߉ez.@<7D?rE_H61pH -,.{aRh oБ |X/[ uþKĚ%.|s0soӚs9/ 2/;~|1̪>@|`ࠫiRgnUmr%ɹ&7.w}3PFk|DL 2xfjJ k6+UTRa MܭznG./+EwjL^qKFmb׆]p?&u^6G` @kTy^.50?Fuy}5 vا\l @hx-TaT`1 #x+' 2cTS.7D`VKcAĂW}+Qr*eLџLy0?`Va 9[5V0ü~i U5y˫ؼC|kTMM.?-l8MbP-rn24,+*gx-O'4]@9sv0Uy|21>Y02Ua?+pBly*r)ֿ M!b_=p瑝G^3'[w': _RExM[qoSZ^o.Iy 禡=7 ᕺO=tQ[?q=ݯ.4oM<0\L#/0N41saS`(@iR5D;sMM32騵|ȆA<9+mu_z,ϕ 霶5D*<ŪDl. a0{+v>,_>6.11DG,-t:6s#҈蛖Xv b/Gv83C^@__^UyAkMmyni4opN!<#8BO!VDY:1~DAA "p H,IiBJ=JE(tEMJ j|n>+gCї-z{I*-U528}D \q*5 FQz܁=R .!zo?!ˈAVGv]|& ё>5~JA6•spHMͭU<{~;Q噛h·Qfzf>iϛ -$crK.TTJ5p7Ou1cBKBP?[7]DہX`MNSBC|5qs u j[<@+YZ/ }^௑Xqm4f  z2uГ+jl%4t(\ppoze/Afv jsRG7rk0z$:U|CwxZ{ea,~!}SسIx-M$)r{|]B+Kg;畊0حK~A}wlFC_mHޣn;[BBp(ա%KǶn&$^쐲%fH֙5£kd={UKhϞcw! 0`}WqkʓH,{.o.؇˦v{zi=Rۙa! $%M=h ]C8߲ !RXB^N:ˈ`-2I,.uN*scE{ O"̳ 9_pYi c x[fNV_A:/%a Vu``M0RvzҮډM[ tMyJ.YkȷnS⡴g$W$瞧A贐ѝ~ewXSQuCqWݞUqAhLQh< -?N!mC&ѤԖ1sv]BdfDp2XDD{q- el)WO y~_d,=2Wsj59 -U^q }IMO`t[nnMr)r:0,cy (i5aG0s?B;wwIRq躜yAZ䡏=bil=i*CLgk턭TWسweO4vBo U[ Ep~. Ձ/ʟ5gR&E ǟ4EBN3&e$Y/`=|9FN2 -8H#6:bz^e^\OxnY#$~s6qlAth -9M{"a^PI1ɧXZ=D,O:I1@52jPetyGCj '^`㕯BQnd#b7E!qy!1n9WM/C_t3ɕ[^ Љ.] I;biT -%F;{C$ v+tlecT'[wYg -$:3;-!g.?0mĩc| (ٽQ(.sҍe|O2cn*Cv%;ljwI9be5T47"o*@\_*=\ȘD:kOݱpCh_m&p6 l"S 5M>;)š^jΥB 3]JZ)|''@s]`le4eB!k'UZxMĭo߼0N5-?fn]G5^i] +v y*S\L$r)_`5_O㛘H&ESq=* 4v، sF37 w#[ǛfAڰxMx$L/3Ӌ$yF<Ƕ_"`MJʾr`ȌpɧmWt G<涵ثj,ȣB{Zꕦ9L6/A-EԑBşf#i3Wށoz7=? ;kChn Q:pM}/$aq*E6Fzy"Ap[aYm$ 3k1Ti;I :=sB8O簔!OG!MЉ̖J"[j>عzœvW;͗Q\*%Ppmu\iְA+/`LN#!fe2yLBS n! 4gcv^H7,?j;R\2X(=6,mU` ZQ_ {~7I@,^hpȕIәTRvyyX +1b#~>LCt'(\@>`D6SϴuΫ@g4-7[ 3KVիKwPv+0Rrn 0ev#C&6s}{YTƜTs߇uKTN/|{ҝ ?P)(] FTpHAI`M,V?$ &Ős"/.,*fk?q>Zn??@pX^zfȌ^h(^쾀:ưMa+Ub +<;hff{h&~wr h>\x|~Sd$P&Ưm|3χ J5:+JିW(7 +1Rd0S+f&&,,akFҥ:u$8jԑ(j +M[VT=<6 jB&Sŷ"7n le+#♤sj.loTc q"z)$öV9QE ͝\`՗UkCg 'cHPoTt- M^YY^(ɞ![U#&IJVfL]OnqmUƃyB)B} 3|ό#(ΕN;=5!N е6uP4 ׵Wk9:ޔ_+%fa0oIԞ⻫.!1a'tlW2kPJL1O7{<0O|LY Z{ĹnfL?Sh]RY He@P'ж_O K97cF3Fk{ ԏS7lBJ?R/A~KA.um]E89Ê H'#nZҍsD{+; Pz.o1\ÚҊeY[,'eDd QpSdd+ Gw.e9'gd_V2 +tP*N/\.JK|3tN=-cTR89$L+Av_%ͣ*&A|{K7sbm/ Eq8e{cآ,WkC^ɣHjqⶳ)gv?*_J/LŨaj5bG> ~EO*UkMVk,9\Bdȫ \Va7( .f /{= +8laP*ӱ&k; fjK^fR=!S2&n>uDfFW-F?3?k<+5^sYVnߜ +%B>,TJ^RXF ^&'u{s 1G+'x%'2#jآAc +/h`-GR*zFEk8cV/j_?_Qd!& ^Ga{!`33~bNy<:wg1w%ǰpUi=2O/HmnI2IӴ9(%BHBHvaDԏ?Ʃ,BȈ,gw1̣qc&!Hq]9%QYdB1pтG3 Aoۣ*. -1]33 -)ђ][zO5+,7b.?͟ejaQmA!jotʜVAvvƌpqݪf#Qyw4zn2J$l֛ppv=}PUc?~Yoٙ GD ۝X:Z{'ȢK6ևCs;ƍD%0TMEsD"qbOcpCjI#gNNN>=@1{`ggk{H_HQ*Ǐ9j}/eOFkлڑ`$NԧEF^dL! I[uTkeyXI$~[)19@˽Sh{*DclW3s JwGEvĻ!rQjJ !*%k8nEe*rH; 姂'BHUf;%tO_[+-D$znUdhbfSw2꩖2!+v%Nb8\.YUq\1|@ vR܉=KnwH>+O&@8MܧHĞ H.j=p% e/s]㦦ZI흗i.I$ +k%Q<ň|\ Hs heN%*ȾH>}܄4+)a,ܙpǼfOᦱ-WYp!p6(G&nQ#mp.c4Z#b$0X-06ܲb  Zn2(^.<ӳѽ3q=PGNܔ.e7fJNZMR +KUCh1(2Q9D9 ¬m!:˥Qy U\5|Cdq~֭Mmf~J]͢~,هA\#%SglQ՜b;(9YzvHy @8G\>I`e`C6:n&4K~SiÉ{j2.ġOzw t'A. a8CpXDa*] -a{sX^צzk +΀&`;~F#? Fu57uS["Vj0,3 XI$P8^nM=q(79M=bth'W-_}y+ cu66q7L:〻ek|z2Uz,F+ӡcbl2WnQL bNl86WhqF (n| -/.PtD#LqRXfg=ڶr_G<%CVM5c:VIH*6ؒ lhu~7˨}gƷ  tn])ދfKDw[>#|~oZm,97\0ðG7ާޘ2q [O*$XtY ۯ2-z됼n M7A.9mD}y֤`C9.|nN"H/_sT 婺 - 9Bsd*aU9O49^xLKط>;N*Dad{ 4`<r S z-2+y3i?OsM!-cU KNa%Kr@S'{҂Tko]WxR*v9q_V6UkTE KW 8Nu$~#+JYlsJ<4;`[DgVsY%L*}{.bt؇bI95o-[jC; Py/_R[n>36{'@#<)=8jAyl%=!Ŵ'Q2Zr659WdYM7/NqL R8XN&jOiV>AoK4;p .Xq(?rBB/OU!| ,gȸfuR]od;?}6A OxP:%]|Tvw+DUcI!@zZKrtJZQ>R)*vpZz>'..I] R67U_qm|diE,רm"z Aen/mOosiF:yxF^(f Q=`ADEtq p\4/JILyX+{3!>4EnICr'^w.+Cv;i`kssdNNzOE*~7L jJ;-i+Y-y1է#(A!P܈Ƶs*y!8hlUOc0տ=>3b&wi+`4OAbaH4Δx-Veиi@hslq -jq^6ϩ~ӦD¯N1)#:A%|z1i|[8>ptO=&D7YVT]c,hD9m 'Nf5ms˨e dM@olqfOIXpeYmTAKjjrPm l~`B?%̶( -I4_"n3hNCt){q_ҍż)6WTtڿ -o1ұs.9h7/$\u,WH%$Cos;d}Sv*:Fub -|Br;'mdedIWz9P\S8b~Xؖڍڏ8+?58. 1ÎWErutM>ô* ,*ex9۞dNĕ :١U{TgrP Q/[9@~qIbon8[o\W%A`[mjOVC\T=2z-h5 [/:@ [u/#ژ? HLa ;r>?,?+4ާ.nV`q{cYvwIeإKnj0B*nc+LjaC0ՎIb>gpqĸ$w, '[/M޶!6Ȯ"5H{@feqDXTY$J - 憈eWSrE%¹CwxEN*5H&b cJ +!%^rXT)@(7|˽ D'ђ2pzo<2Jffx^V K%ue&+g@$&Ep7XgdzDt[H4Vcεr=½9hy` /0YgҷEϧ QNgP~P4 +x K3Mr[]ѽ[;V#,D|cut_U֜Ծ܃քlCYMH肞kCjy`vr{b6W!M^*A#g_`8aGCL,6:NAC#z֤qnG&sIRz7OBj#5,é?y,DHCJex%,K%O_s < +EcVכ+Wfǐ:>:1B|{vXlwUBJ3{ VEwr7Vwl L2"yL{.lM&lAaq{T^W0)/3K}h&,]oj}5:g u>Q7QDF#q]h;l:`r8֮W Cʨ[Q,(&x{B i5tP(_̢b9̙5GT][0"D5NjhP\3}ָjM+kA8 ;kD!)rj.!yj>l8uLFDH]a2V1ZBx l3Re^zIJ'@QzDSBۋRk-m1GO% w)SKi$H!s={]26Pn&XL‰8(Ҵ,Obj=i+%.B:W屟md-!6 ,X>reu" #L'$KOT&^O3ЩOIe`hYRN ژc~ S[ aq7X$N._um| ~ Q@A6HSUų3MScP!;ԇ[$M{x`]7ZrǗ+Ze[fU_6"a/`!6kCk̨r 3|ydIml +tJE,$-&:(ʦ +(_SZ`t )AHMJVcr[h|0Qu7/f{Hb wdrX)̝&3b{KS>hˡpҥ(ōwj勚Fu2ĢA U"t́uZ,*mU#&ʘxE20쩙ݬR#hC=}KfC.dO|F-fYPEVca|! ?S,k ^kC$ \>YP]ہ]}U9Us\qct:Xο +T%&52G W`{;mW-v[65^?%?Ȍ˜ G|tE!5Íd OW̞uMIga횰{,ioȯߞtfX5d`467xS & gF,XTZ֡iUvpN0Qj8H]/ +{={ 8MW})VyOLtݎ| +?jnD |AlU@@^1 HDBjGy .dCFjط9Yv +(]5nG,pDNрwgD8y/PQg7FS&e +}Kۇ3t+Z1sЖ>s(~T}STT'2klG\@& ]T{lH"D#d6aҙ8앸 +JS +Nǰ"C3^[r j);duNŦe >dnE0h{W^0:s`bW0"Iʡt7Ҽ/Uq7**UW _wt1kmm6|Ӊ|m-6TeCY2 ۩P~7ė#.v>@kD_ Uzw" 2Q=uJ i4ңo{q|8_ڭukgjSk #4wVFؒᄵ^WQp8~B <,SGA)",X,ymV9 [{(jSFj?SF~ B^MiW67[<[E{Fn@=͠^gY\?f LW}]UXR֡Trv.ʂw:T򿿟b_B|)f5K3c(鑃'e<"s71٢'ĀrYjpr\$dSG c0G#ܯnYD,l=6X9s Uo^l:CCl8K!$ +Iׇ3ܒ m s lGW" K?Cvvʋ֛g?cmfwD]~B͠kjϽ/i4nh46W +f9zj]F%`[f(¼=u-A˚֫SQBX8RBv!Zѱ<;yH9.=Z:, 8* !1:.٦lKTKA].EEZw܆aQkEܪܓqP2UE%Y<:E-?`L4XVQ~dEWhAT4EnȊ&v]6c/iV5*nNw80W&K þ0BV@/E &#{2ҀE:myX#Ù[^ݲ>,uDл +Tn)7[S1s4Zˇ(Cx7a[?_D[b8prkS4vgFQpщr=L{.Q(}{ o[.fjlSjVA;B.WbS>@ğ>*^q5w:ze[; kїs3_|,1Kg4bRJ2 kGvBGYʨ@\/X MXʺP*8x*/s$Iφw)z7 ]JH%gY\f?`[G^ITu,-(D%-E*~RG7]]-#ag|\-|O}<ЛnX5i WD] jmc[ p`T|H;cvnXX!}s1<2- Q9bV{Ƶ7\$Plu'e#xfҧvw#5tN( #(9x3X$RybxM {8ߘ yoZUYjW~d4ʔeQ'l" {^zz@$>WD\ot),xI(/c\>p1gy e Ia3MN{D9:}9)2n̐Vp2YN,?eQA+9K4F>ۦ1լOXΘbXw$Q;,&\zD;*^ M$fUۓH>9f01U<^XS4TDnL`Hvȯҫq!`U^;\|8wgk\nW ǥUSy]Y6fƎCd#%7T%oꗁD22qEJc:vXNJC&Ti) ޅ8# Ў0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -3261,144 +5878,73 @@ o cleartomark endstream endobj -146 0 obj << +161 0 obj << /Type /Font /Subtype /Type1 -/Encoding 296 0 R +/Encoding 355 0 R /FirstChar 33 /LastChar 126 -/Widths 297 0 R -/BaseFont /SAYLWH+CMTT10 -/FontDescriptor 144 0 R +/Widths 356 0 R +/BaseFont /KKJGGI+CMTT10 +/FontDescriptor 159 0 R >> endobj -144 0 obj << +159 0 obj << /Ascent 611 /CapHeight 611 /Descent -222 -/FontName /SAYLWH+CMTT10 +/FontName /KKJGGI+CMTT10 /ItalicAngle 0 /StemV 69 /XHeight 431 /FontBBox [-4 -235 731 800] /Flags 4 -/CharSet (/exclam/quotedbl/quoteright/parenleft/parenright/asterisk/comma/hyphen/period/slash/zero/one/two/three/four/eight/nine/colon/semicolon/equal/A/B/C/D/E/F/G/H/I/J/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/asciicircum/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/asciitilde) -/FontFile 145 0 R ->> endobj -297 0 obj -[525 525 0 0 0 0 525 525 525 525 0 525 525 525 525 525 525 525 525 525 0 0 0 525 525 525 525 0 525 0 0 0 525 525 525 525 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 0 525 525 525 525 525 525 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 525 ] -endobj -296 0 obj << -/Type /Encoding -/Differences [ 0 /.notdef 33/exclam/quotedbl 35/.notdef 39/quoteright/parenleft/parenright/asterisk 43/.notdef 44/comma/hyphen/period/slash/zero/one/two/three/four 53/.notdef 56/eight/nine/colon/semicolon 60/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G/H/I/J 75/.notdef 76/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y 90/.notdef 94/asciicircum/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 126/asciitilde 127/.notdef] ->> endobj -130 0 obj << -/Length1 745 -/Length2 1134 -/Length3 532 -/Length 2411 ->> -stream -%!PS-AdobeFont-1.1: CMMI8 1.100 -%%CreationDate: 1996 Jul 23 07:53:54 -% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. -11 dict begin -/FontInfo 7 dict dup begin -/version (1.100) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMMI8) readonly def -/FamilyName (Computer Modern) readonly def -/Weight (Medium) readonly def -/ItalicAngle -14.04 def -/isFixedPitch false def -end readonly def -/FontName /OEHGZV+CMMI8 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 84 /T put -readonly def -/FontBBox{-24 -250 1110 750}readonly def -currentdict end -currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9M֨[G(aܘ|RP6n=: b9s2m4{~CD%xSd,&jA x"ПmѬ,+;ŝboB|ծTboI*VDZBJϟ2a{Y0Q(/e@AGƀ挄п]w}ga8.ݲ cS,t^Ujq.or!N]@j -Gē75uʑm$KWNWVF2P,KP˻ 62abw;SBֳ{ u&DChNe^L2Ib^ǞY62"CSl5X!okR6D UjT|S{G3:6A| ٺJ 33kLKEnMpٽqlHZoxV KË=]L+e4fv:*ys%kٞ((~~{O{m_NPJ> endobj -129 0 obj << -/Ascent 694 -/CapHeight 683 -/Descent -194 -/FontName /OEHGZV+CMMI8 -/ItalicAngle -14.04 -/StemV 78 -/XHeight 431 -/FontBBox [-24 -250 1110 750] -/Flags 4 -/CharSet (/T) -/FontFile 130 0 R +/CharSet (/exclam/quoteright/parenleft/parenright/asterisk/comma/hyphen/period/slash/zero/one/two/three/four/five/eight/nine/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/asciicircum/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/asciitilde) +/FontFile 160 0 R >> endobj -299 0 obj -[619 ] +356 0 obj +[525 0 0 0 0 0 525 525 525 525 0 525 525 525 525 525 525 525 525 525 525 0 0 525 525 525 525 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 0 525 525 525 525 525 525 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 525 ] endobj -298 0 obj << +355 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 84/T 85/.notdef] +/Differences [ 0 /.notdef 33/exclam 34/.notdef 39/quoteright/parenleft/parenright/asterisk 43/.notdef 44/comma/hyphen/period/slash/zero/one/two/three/four/five 54/.notdef 56/eight/nine/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 94/asciicircum/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 126/asciitilde 127/.notdef] >> endobj -98 0 obj << -/Length1 743 -/Length2 1156 +140 0 obj << +/Length1 767 +/Length2 645 /Length3 532 -/Length 2431 +/Length 1944 >> stream -%!PS-AdobeFont-1.1: CMMI7 1.100 -%%CreationDate: 1996 Jul 23 07:53:53 +%!PS-AdobeFont-1.1: CMSY10 1.0 +%%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin -/version (1.100) readonly def +/version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def -/FullName (CMMI7) readonly def +/FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def -/ItalicAngle -14.04 def +/ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /XYAMSD+CMMI7 def +/FontName /RSYNKG+CMSY10 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 84 /T put +dup 0 /minus put +dup 15 /bullet put readonly def -/FontBBox{0 -250 1171 750}readonly def +/FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9Mv92#:iQ?.n>%jzGm >NjS])7uևUQh4)-×p#z{8YаGP9 )"Pƣ3ГzYYZgp_PC߬CܔDC'<|(Rl/IxXMYzntԟlAv)|*iQP3|TxL" ʃ?Aw·pҋ:r)6,N{?JoA剳Js(0T9$ն''0j%&4LwQcKHpY Bֶ6$bZXZmX>B#9xҥ6IUJeG#݆>@P1o(ߋUcCо"[D.)>;@LyB Gp^yc96dFlVQ罭TID,eΏaXWŬq*@ -i }Ͱ4vfFʧ{ m?IF2tÕFGȐ=Nk{ULg0a܌dYbĽDT}_j.?ZI8$Wɘ<1;n,}Hι#cLוr6m|6)VrK䋪 ,tz1=ھE{z[#t;u/<(m sﶍ𻁧C۟HhfsהZ5qr_<*kwu2qy(: p~2<epQ@;-hٶu\Al=0000000000000000000000000000000000000000000000000000000000000000 +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`[ٕS_qo ZzYS~,:qu%H +u Xش:#9>yE0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -3409,41 +5955,41 @@ i cleartomark endstream endobj -99 0 obj << +141 0 obj << /Type /Font /Subtype /Type1 -/Encoding 300 0 R -/FirstChar 84 -/LastChar 84 -/Widths 301 0 R -/BaseFont /XYAMSD+CMMI7 -/FontDescriptor 97 0 R +/Encoding 357 0 R +/FirstChar 0 +/LastChar 15 +/Widths 358 0 R +/BaseFont /RSYNKG+CMSY10 +/FontDescriptor 139 0 R >> endobj -97 0 obj << -/Ascent 694 +139 0 obj << +/Ascent 750 /CapHeight 683 /Descent -194 -/FontName /XYAMSD+CMMI7 -/ItalicAngle -14.04 -/StemV 81 +/FontName /RSYNKG+CMSY10 +/ItalicAngle -14.035 +/StemV 85 /XHeight 431 -/FontBBox [0 -250 1171 750] +/FontBBox [-29 -960 1116 775] /Flags 4 -/CharSet (/T) -/FontFile 98 0 R +/CharSet (/minus/bullet) +/FontFile 140 0 R >> endobj -301 0 obj -[675 ] +358 0 obj +[778 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 ] endobj -300 0 obj << +357 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 84/T 85/.notdef] +/Differences [ 0 /minus 1/.notdef 15/bullet 16/.notdef] >> endobj -95 0 obj << -/Length1 898 -/Length2 3076 +137 0 obj << +/Length1 918 +/Length2 3213 /Length3 532 -/Length 4506 +/Length 4663 >> stream %!PS-AdobeFont-1.1: CMMI10 1.100 @@ -3459,13 +6005,14 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /ELINXC+CMMI10 def +/FontName /ZIPXRG+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 61 /slash put +dup 59 /comma put +dup 62 /greater put dup 65 /A put dup 68 /D put dup 77 /M put @@ -3484,17 +6031,17 @@ 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$oB!>;A\T hxh|5:6;ϖUǷ6~k.T*{8K`y8'dT|-QkKmy9 91|Afr (K*)%_ʬtP`.rY?nrn{v2O_5;\g>R{4_ -: 9pEz~Gu E[n窙i9ヽu#=X&>@Q-2fT{0lY+%dm%dBag(MInǹpFt%V/~@6!tL:nS&Il*rH7d?ܡPZ=uۻ3MfM[S`fu1O/C0˕*5jp7䕌=)8 --n#]=ǃctǓ!Rpqxe7<' D1' |OMMYޝi eFOm(pNA_|=i-H[c@?n+]LM4@M c|1Q>N~q}c^ߣo <}g -V<eҲF_m4۸۞&na1N\ Ғ~z64L3Q_ E.9!D"^ii}B.΅ߟMZgF1]0ۊ,qtƏcf P.DQ#is~Ar}Z4`}.,&*%*X>vAŝlݵAGR1$WWbV&G 4M{G_1zB{% ) 9_dk,_jW7[ÉϵSA1q/0*вLM.}x`y8ި燺35˅?cɮ - c:釬Թ+[fN#pȞ\1Y>+V1"rF IcB~{5%֔bQ0X.i0*(N%W|tgx^;}9uvV0s P$=vɺ] -`<է?!V%["(eZ9x=M##`[[Nx2 sR肆Or7bHH.2 oHw܊-(P1M4Ig-@H+3 w#.~~W@3J3,g W 1Ԛ"vJJ`g&2$Ta1ORѫ{2/82U- 1A*iBF2.>|)yyY -0L =;B[y{w5|PLMrF$ yy}WoJkrV ^#sx$0F쬫6C`-Wo1|>K0g. -3њ+4]<8T_YL:-`|R-וR,tF7rSEI`9z$xV"jť'pVwAӥ|3rT!}_[!CjS)\gwz --WZLT -Y F9 QӜ!Rm:aDKݢFl0;vqz*X^uAAڸmoȽgJ^b;Gzp'{9ʨ9U E?1P囦rvjB#s掾QM]a*+dǧcv'uE _.r1~Sī1 ezoo'C/,X5)K."$W!ZLeJYu=RlF:-E%¦QOxӯ4R76='e=J)2v)[>@ ΡJ۠{u7G!Vć w#Ị@xCiQ^n ]VW!V<#&IlN<: x&2sZw -D0bא9OFoEXAYKY$=6n^aM:Snc%?3r؅E!zvxcXOWn&\s Z ԾD-/6BcCHg5%ۅ=}0=dvN ]QmASI8suE$K7;7=H28]Y l9H4\>;5Yr۰^8+`G#dT'9%߉)<D 6NCXƄ0(20BDF]mC]Zt1.e,G :d4O5'YRhWt0000000000000000000000000000000000000000000000000000000000000000 +: 9pEz~Gu E[n窙i9ヽu#=X&>@Q-2fT{0lY+%dm%dBag(MInǹpFt%V/~@6!tL:nS&Il*rH7d?ܡPZ=uۻ3MfM[S`fueW0R%/Yj -mv%TB>Iĸ -l+&uv w&Q*TT- 6gE EP5=[W^Y\,E`!G3rB2F8Czc9nrBA|  $A+KӲTL=Ѓ)O(|O A?'ޟ%_n3N4e*$I6H?t~COH {dSa`0LѸW7W L$ҧ F%vY })fTC>djq| +Rƶ4_CMܤ(tB4Z7} + c[ç y;R ϼJ^VqihLq7ͦ}3a1^l .[]a3qu?`xr F΁) >̯At +^˙8/RZ"cזu#36#LV_Ja-{tyGvAeXi +OAi +qi6Ir dL@@?S5S35ؒ%EL_PYmP˖weP'42f6VO>6qeii {}ӑҮaGvLiF/!CXBp/(rꗴ K`^؝Ig-mH-&.TJ2C@ 2OP^XGV"4xf)ZA;gϸA| }\ieIz| Ngbvӥd\7kCPy[*n;˰NQ&YHl kBӃV0Jworo xs|}ތIghFE +5]l:}e*T"h+={H-^ bst?#%:"8[(*A^jLN#8'UTFMخk410xKTA[v>i>ߑ  k- }]-2pj4tO^BZBN p +M7۔r+{tOGc!{¸a9}h]XHS KI>􈉶{>}v)+A_:~?"d&-Ud`ߘ6"/o0Czڈ4ؗV2YsD~ecꄪRpevYQ/<" (ZXp[d1^X-&s<`I%揈W&T/ГSpn mMW᧍~eè9)5^6xl˪Hi'`hn[ށud C F{h`;_U\ *2:5(nlat=H}{\Ӌؕ !>!7/A0EgHI-tR bX!XE Ӑ@wpd:D A" p?)ذB! GP O~lrzjwluut,քQLnZ7x+To^"e'ALE#)$c_&t0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -3505,41 +6052,41 @@ Y cleartomark endstream endobj -96 0 obj << +138 0 obj << /Type /Font /Subtype /Type1 -/Encoding 302 0 R -/FirstChar 61 +/Encoding 359 0 R +/FirstChar 59 /LastChar 121 -/Widths 303 0 R -/BaseFont /ELINXC+CMMI10 -/FontDescriptor 94 0 R +/Widths 360 0 R +/BaseFont /ZIPXRG+CMMI10 +/FontDescriptor 136 0 R >> endobj -94 0 obj << +136 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /ELINXC+CMMI10 +/FontName /ZIPXRG+CMMI10 /ItalicAngle -14.04 /StemV 72 /XHeight 431 /FontBBox [-32 -250 1048 750] /Flags 4 -/CharSet (/slash/A/D/M/b/k/o/p/t/x/y) -/FontFile 95 0 R +/CharSet (/comma/greater/A/D/M/b/k/o/p/t/x/y) +/FontFile 137 0 R >> endobj -303 0 obj -[500 0 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 0 521 0 0 0 485 503 0 0 0 361 0 0 0 572 490 ] +360 0 obj +[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 0 521 0 0 0 485 503 0 0 0 361 0 0 0 572 490 ] endobj -302 0 obj << +359 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 61/slash 62/.notdef 65/A 66/.notdef 68/D 69/.notdef 77/M 78/.notdef 98/b 99/.notdef 107/k 108/.notdef 111/o/p 113/.notdef 116/t 117/.notdef 120/x/y 122/.notdef] +/Differences [ 0 /.notdef 59/comma 60/.notdef 62/greater 63/.notdef 65/A 66/.notdef 68/D 69/.notdef 77/M 78/.notdef 98/b 99/.notdef 107/k 108/.notdef 111/o/p 113/.notdef 116/t 117/.notdef 120/x/y 122/.notdef] >> endobj -92 0 obj << -/Length1 1673 -/Length2 13400 +133 0 obj << +/Length1 1679 +/Length2 13285 /Length3 532 -/Length 15605 +/Length 15496 >> stream %!PS-AdobeFont-1.1: CMTI10 1.00B @@ -3555,7 +6102,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /ELQJXU+CMTI10 def +/FontName /KSUTPN+CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -3565,6 +6112,7 @@ dup 11 /ff put dup 12 /fi put dup 39 /quoteright put dup 40 /parenleft put +dup 41 /parenright put dup 44 /comma put dup 45 /hyphen put dup 46 /period put @@ -3573,7 +6121,6 @@ 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 57 /nine put dup 58 /colon put @@ -3638,51 +6185,61 @@ z8u pk2 \t,o)2TTڮw}Ҏvq `;lSgs3c-h}W9;ڤ9Ö`2 ${};;m򉅘^l1'C*~O`XUn0x|cɾ'iD%WNCەU.9R*R?nLWˆs/[趡ۆ8>H@#ٻx wf} ayBR C1|P|'r,߰INJU`DkUQe ]Am\"GmFO )2rIuW\SW,'vdy]eqXH0#~Z9|pŞPOHau`Cb鬅<=?t8!-~C0VY-aht`rxK[3,f @=]wG2C#܎d7"_UMjkz 'uM] hC&U[ # h.25/V;$`+'oXz:#~o)!1rBz@_ -T(+vQS~QԵa>쥱4ss J2mP.7L&]=(eZNnz9،&!gE1+( +g ;v&QBF@H;!3Sj`XzcXf;ka:̗4hSoHNʌ!.lѠ|Ғ#>EcHRcz&퉕AD:_$O &? 8v.s^Vg˭8*3_ *Ĕ005p!t@8cIY[>CinnE%4ޛ*]3eO IyUL4K&cѢCc I0Z+mm9A}PQC"#g0"k !c&i:xphrA=0)G605TMK2ia"6x.MO\*G5Q -5 `&т44%sbHXCAG> İ!_zʶ%.-6J2Y2L5l kLLpX>b8m".l%Jީڂe4nq ّ^؁zw(7{()n}RhOMejP}b$\ )^%:> R,lœS_>^F_C1k. nVr͡?zJʱ vȢxo__].20_|8BIWðok«kpR-:хɢ+Dl.VmbQ)u޻٘ tz> Ƨ'MK6SDsL2)+qa PZ<J]å@X1w4%*.:>@(WuQQ[޼SHB~w -DaI`'):5KefXxvJglfXP!P8^r`:ϑ >3B՛#oi-Z\Ϝ&1`7LoN=-ܞ`8@ˮum(ʢ@mzcHw2S2~C6}x$4gYg?IOen*] eT w_MPG_t4h›KK VS,w(Fz'ڪ!d&ԟ60!Y8\H_7r㼟.vޠ} )O+y]ov)H}"nW{-Au?LIyɾ@FE39(((hcQTlUo΢7 o:=!1 x:eFB/Uc}O= +ADP6@<-:c pZI\C"*öF> R.Dar̍`Z8+P_7_Ĩ5ROx~pkLr -Xs%-z14ZgAX[`pPV.uTr d/';bB FnU!fvo1 Ud7,v|? n@Jy^a`V4!)!'tt!`Ƅ.[ lع9dQBBblEVk]|C酄sY.ޠ#VeZE?U&HH"gAjD!|{`)S.{*W0䦚h^޳*vwܹ{㧝#VGB9< V!PE4vrgz -4L@;W:F#R@j ;i;K=0@9ؐFF7L\ -r͍>)ĒYT&#PlZrLEUb֐P ÔMj0ms^J - )x-m&M #6/zkm&33KtCI3@LTU:-t\aaZ'@w"gJ]𿊖=XRt7/Rk:Nj%'5T0@ \ -S -K@Sh$CաI(M_'ףԜaD7FecXA <88VD~ź' :`']հF^iyP>e p2ΰۺЮmzM+M Ÿ +r?SN1akɊVl\+ brXl)!]P#Y8$ 8WSfx.#Q)ܳnNC=lAKnM';c &lT;ҽK֯ь :r4CS]_hg.<^ZD _Xq W/ܿ ב -o<69/޹\K:|!l*g hM0j5W^Y l,(0 oEN@+rg˞v;0x,~E<2SW@_X#eNCTAArʔ׺] /BGɠ+r <Ҳ^ ->Z؅`/8g0KV&Cd"z^Ts߄E!Dֆ|@ s+؏(|L,̵ DabyU.3,|9e֪qU$ww!I"/t4Q1: !wZGs454bp,bDMx"뛏~2γQwv$ViC7\( ;x =~]Jb"0PM(1xZx#""Vv/ QTA_ޒ|3{Ŧsc"fʦ0*z)Lzyvmz-y5$ظ{PX|1׾YNA<3k=&+`ήg4 Ѿo2f!s.֞/Gߓ Gh0=a7禫e'C68n@S7ͩV9gR.:ߗڕ^n9ejI"e3|?YC<!ղgl53TQt#ն֕ Ci +}wvAr ;O3F9­br#7[\Al#a&IXqLIBO>D 26s”LpTvt t2$Дspx=_uKw`i4 9|[LlqQ>]6 eϭ 0.?g=Ѷ*]Oj /"oGIUAKnMZ?E8E(DŽG+:kE87+{J"U#F+ ;qݧ-waM1 -+3mEǯŏWLD&41z3%Α""e@y&0(iP]iT:#nS*?GNof=~r(/'MP3^WC.a..0BjG9+6' ,y$jӻ|r;g_xqPw, Z3tNWi$˫_GU{Z*V*5jUw^~^h+?s gzYZis 7)&||NIPwhm9)ı>t|`?&7ۄ.V^Rb&b*`/vRg (-Xmv1KS*|8s~Ӓ9\h۸!舗a}\s_@IO$H0%)9Įj D+<%ZʒZ)!~`;Թ0e$`o#p ]apcg ://x8:G z; 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSL10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -9.46 def +/isFixedPitch false def +end readonly def +/FontName /AKGEDT+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 39 /quoteright put +dup 49 /one put +dup 50 /two put +dup 52 /four put +dup 68 /D put +dup 71 /G put +dup 76 /L put +dup 77 /M put +dup 79 /O put +dup 80 /P put +dup 82 /R put +dup 85 /U put +dup 97 /a put +dup 99 /c put +dup 100 /d put +dup 101 /e put +dup 102 /f put +dup 105 /i put +dup 108 /l put +dup 110 /n put +dup 114 /r put +dup 115 /s put +dup 117 /u put +dup 118 /v put +dup 119 /w put +readonly def +/FontBBox{-62 -250 1123 750}readonly def +currentdict end +currentfile eexec +oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# +]LeVߐGoo٥\k 9Mՙ= 0)xf +1kX) $%Dlgg5hZBNj/!by(Nv44|0x5>*TχXwj"vǠ\Ar@zgt;B?O}C;J +ߋb >N:u񳻶o =;xT+gW+"0qXٲ"lCpXǹSٵ˪\Y圃ۭȺ7NR >DrɍW*-E Gÿ#9ѳ[BRkO|~OgrVKq|媞ڵ1|@5$ccD2'}}]^C]a\;^v|[Skz + 2WM} o/Pp)t7P^ +q +L [.DRܠK;v=|GύGz_Ѵ`O7I7cGvI׵t2TBlKd7)%G:,xQ ոxPJDVBrōdh᫅R@ 1Ǭ}+4o+*3=2' @0 H5hͯkN*bB. ޒ<E }v=T6Qc.19$@7{]dԋg^)iJ#4"^&dϗƹR@1]ME37Њ +-4U^5nJf<CAY ~CctHN/ZwG>c&a19NOBH^+_q:g$V}ΰ<"m\ź W029 b`[m$PkKҚAkyݭ%U|H LF$²chC- Flt˝ X:,RU\1[BaB7% +j*5#_ ,/w,Wo@HZn;tL4\6Q{"aSLHm|<0e)hܷ:gx;xwATVoьi5VGjAbPn~&tv0O[=V t+bBoà@٨=CԙLd_*cd*#`e,scaX.P[#\(/έ㶦eĀ8"H1GdkftV#GJQZ=$qnx\V#=tAixΞ/?9odn(81+ns7 XX_]Qfrnxb~/!"⇈>9鈯Qʎ1 YY@OjZ礒: )|N{V)}_丛QU,@9F)ѦlS]=-čWөku7pYc9.%L'\2IJb*f|lۣ_7C[ףC&zPɥ.0LkC =d{mx)??|?[*)(SKsa'L0><L$ +! +.6o-y ~{)q{B)E]K:t(# 010 HK=.M +`nB?1 X =Z nJxB=%ĢC0Yx~KY d㋨끢8c vCxE)::ǹ`޾9lBo.O:-_qkId:%k8Y!,QJQ8KWp^^mzDLGb:2$ +m6&~t^'7Mctkm~~@ O*Yn hDITB@wTmߍj8Bt7Io_# +)Y fiy\aو[>JRri-D3Nec }SL֗e?t~uaEb̗B@d6؜9|-Z~y +ٔdk_A*)R凯6ޠ=(r22TDkUZŪ='ht~Z9/|zI']!M%D' +Eq:Al If'M4a5J-Oy Y1YÊX[mMs}IS;63Cycehq,%oLrK'=WV\|g >+"5 |fNb7a!w0kGl' rZP#Z+,,F/K2vz]jEr$DV&mhdk%"g{CX$˚?&C-2xD$'֧9$>my +[]G&]4ꋁS{2@, :gLZ/~ +lV/^ӏ0>|^mM vUwm'^4 aChʦ^QT5cW&AՂ8ݖWԑ qIÕRs[֔@''7{PJK;ޣVēq)e!!.XSZE4&JXw@XSȱ~BRuGՏ +c^d͂A]jiV)H"LG%3/=<b(C8CPR X7\t;˵0~\(AB*U?BzhEZ~UkRު`g{ ^8BNWI_\8Fb˛,|(Hg5+4_%LΤdujjMU2'\pM5%چv c\t\ iai#DeVbH" +M\\ Ge''[P%ExRj F1mG5aWIzq횃On9r?1ٗ H0ImֲؿHb9]α;l2/}uԢf LRp*Z..qՁ9IKK𿪉̲0$ }omxR7K!I+3 Kpnt$:H8Q=+9?^!Jƻ5OJ$_@;ה0)]cG#Rv Y@~ry$)k(|iuAfn<ՒKsnY%гdT{P.(Q;6e|٪څ_>\d,8"Hwֺ7i0#_]7߮9yLg1ga@+B+YtD+RHu7 ~85v/$FZl#F"ʔ ũ^|,\")/I>eE^=nYWH b QWFCձ}:l[%%G=H}~f~K}0r\w2~sO<ftS]27vb哿, hPlVϱ-#jζjr$@|`e ŢIVw! 4Y}Fh%@܁r?zc4qJj IR+M]ttƴn={")[MPBkvmg挞94 qPBA#̼I 6SsE\\fo2iO`#{SrA kOaxWg%aW~ W^ϛ{t]@yRm\Kr*AÃ]$)l s}{!=ʚ{Ytd/> 8W7CZ-;aa\-g手Є)֣E%B daWM`a/]׼F ]8 sT։Gkss@ ++E9p9tgdlBٷȁ&T[g`LN[%J5HaHi9w><| 2 xUĎxdF^&7F DRh&, {b*;\e)wR)I qV +tL4uLu'+Gy|i*k ֒| = 4~)WWQI׉Y'<f0w(\;%W‹| ˔CJ xSv- !)~L2!4Y1.2ؗxmE}~X6ϸ2 +Lk_m'u/E'ݻݠ(rF wkR4U=/fLﾎ٤:Fr/>YT42U`+ט90000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark +endstream +endobj +131 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 363 0 R +/FirstChar 39 +/LastChar 119 +/Widths 364 0 R +/BaseFont /AKGEDT+CMSL10 +/FontDescriptor 129 0 R +>> endobj +129 0 obj << +/Ascent 694 +/CapHeight 683 +/Descent -194 +/FontName /AKGEDT+CMSL10 +/ItalicAngle -9.46 +/StemV 79 +/XHeight 431 +/FontBBox [-62 -250 1123 750] +/Flags 4 +/CharSet (/quoteright/one/two/four/D/G/L/M/O/P/R/U/a/c/d/e/f/i/l/n/r/s/u/v/w) +/FontFile 130 0 R +>> endobj +364 0 obj +[278 0 0 0 0 0 0 0 0 0 500 500 0 500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 764 0 0 785 0 0 0 0 625 917 0 778 681 0 736 0 0 750 0 0 0 0 0 0 0 0 0 0 0 500 0 444 556 444 306 0 0 278 0 0 278 0 556 0 0 0 392 394 0 556 528 722 ] +endobj +363 0 obj << +/Type /Encoding +/Differences [ 0 /.notdef 39/quoteright 40/.notdef 49/one/two 51/.notdef 52/four 53/.notdef 68/D 69/.notdef 71/G 72/.notdef 76/L/M 78/.notdef 79/O/P 81/.notdef 82/R 83/.notdef 85/U 86/.notdef 97/a 98/.notdef 99/c/d/e/f 103/.notdef 105/i 106/.notdef 108/l 109/.notdef 110/n 111/.notdef 114/r/s 116/.notdef 117/u/v/w 120/.notdef] +>> endobj +96 0 obj << +/Length1 1166 +/Length2 5371 +/Length3 532 +/Length 7069 +>> +stream +%!PS-AdobeFont-1.1: CMCSC10 1.0 +%%CreationDate: 1991 Aug 18 17:46:49 +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMCSC10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +end readonly def +/FontName /SETMIY+CMCSC10 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 40 /parenleft put +dup 45 /hyphen put +dup 50 /two put +dup 52 /four put +dup 65 /A put +dup 66 /B put +dup 68 /D put +dup 76 /L put +dup 77 /M put +dup 80 /P put +dup 83 /S put +dup 97 /a put +dup 98 /b put +dup 99 /c put +dup 100 /d put +dup 101 /e put +dup 103 /g put +dup 105 /i put +dup 107 /k put +dup 108 /l put +dup 109 /m 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 +readonly def +/FontBBox{14 -250 1077 750}readonly def +currentdict end +currentfile eexec +oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# +]LeVߐGoo٥\k 9Mՙ= 0)xf +0v7ϱ9 àE(O&k{ǛHFſꇼw +R^q&AԛhF8N&{oi(^[ol W%'5,.V!0&u%ˎKxZ4pX:;[4+ @c +ߌ +}s$)PͶ'/CզxBCxSƫE\ 'MXpͰԁ C q6 2T1e|jԲH*} t.-"k5,h:J.X 4Z@0v)FEʫ@"jKNJrYDdcm!Gh$KʍOJi5+hc։10}I3ޔCnL?|4z0>jaroZq,Ȉh0ߩφQ +kC7ZOgrc ?p^Yy @6 &t|ٲ +g13+ Q *f ǒkKWSpBN-Fa{J*^ˬd]B.0 0S<*$9FDt+>jAͼ<֌)^enW9dꦴ==cX.S{nzřgX,S^>f Z̚5r=kn`;䒯>"OH=cx|3CU-Pfļҳ:\#tg^ַ~֩8tagEҚ,Ty,ΐlV|M[&*+o|wjX:îfMͱs 1q=]['W2:ې RŜ w ssxjzERvW~28QkG˴΀@PĄ،5԰r/@lKҘTdf4*7P]w(a79jkKVӖYaHkVzb+#n.R2R0Mt5LjP^\o.uR܆K$_3vc3J̹Zc +xNs%+:Ri-:/#%eJ?$4aEpr{pg8;v(9ÖVJ&dq^MmFpÁ)Mt`qV6x?:7o~(&yٝS΄9oKz06/_I^vÖ"}a}Bޘz-M=hr`S6&iҟ\*$6w!dXK ߃zZI'́ J,Oe;"5E Vp@"Рz#px^$ٛмS?+۝+>Uv+ b&uc{wS3 6{aog'Ե*5l./Mh@:#λ؟K_s I"D^oŰQ@"Ï-i͐sGzzk`+(c|LBmCB%0q׆6:v#'b-e_͇&mLC:TO9ۜUVܼT{u8giu%g>q)鱤PszƓ UĴ.|2@oݳ7DK~ M gȋYAO?*^qC H +F10xu#_y<)D9[.9+4 +Enpy/%**uV!ZLY*9oa;wBo䮡6y5a/F.t e#tTE9M%Cg&O +o-Ǐ]NaY[)`i[NmPϣ"}QI~в˄]9v&WBu! ߄$0*=ol>1ilW5ieOOM*+n-g8ly:+udWk&,dF/4"5`cyreOZTqtǸ]y?+f<K7JnYrՔfS2A9_/K=Rl =ϪA1%@mK! 45t/g;B5r+dۺ]r`$ÞDqIy^R8`Dg"AU3K-&1O-ڢS\ ަyn|C \岶 wSOC< +)ylTLIO ĩjmDS]Wqsd,K]ީ,;~yf_|"#}A@6f*M._y8l+/bXR0?@֙1U8@. d$xyq?ꋱ eEjb8q}`hv,j?PdƦ~'{]5*UEՑQUUITE:'30%Տ7UW ؿjNJ! ?ĭg|am<G&F/;I{R-:O|`$ޔ.oկEi.'opθLh_)i;)ߵ^cVe,f@ tH*m_0 OR2"7~^ƘȓpWPsz-$Q<.9bԳD.J<ΙhdocA>aox4AtH,SuǾʳfZ6:("j[qEjd*|XAf2t_8+_/1a;7IYFG4ʍsW)1 $ 3dT=2Hli1QM擻Xp&8 ۷KPAJ5u^:8E\Gv~4Z++3Sq v/G E%65Z~[Tk}4UyN[}*RiX ٽc.+2G?IYInH2#-Y'r@5cWzwhA,H \K~r; +uz$zAhV~SO]8DPUUʮD=1&ҴtjӴۡJbVTx{o]Dа ˆj!ǎBыg.ey%\šF2+ܺiYŹ-@D@\ n4܈g0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark +endstream +endobj +97 0 obj << +/Type /Font +/Subtype /Type1 +/Encoding 365 0 R +/FirstChar 40 +/LastChar 118 +/Widths 366 0 R +/BaseFont /SETMIY+CMCSC10 +/FontDescriptor 95 0 R +>> endobj +95 0 obj << +/Ascent 514 +/CapHeight 683 +/Descent 0 +/FontName /SETMIY+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 +>> endobj +366 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 +365 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 << +/Length1 1815 +/Length2 12656 /Length3 532 -/Length 14157 +/Length 15003 >> stream %!PS-AdobeFont-1.1: CMBX10 1.00B @@ -3743,19 +6534,21 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /BXVSRE+CMBX10 def +/FontName /RUIHVN+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 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 @@ -3783,12 +6576,14 @@ 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 88 /X put +dup 90 /Z put dup 97 /a put dup 98 /b put dup 99 /c put @@ -3811,6 +6606,7 @@ dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put +dup 120 /x put dup 121 /y put dup 122 /z put readonly def @@ -3824,43 +6620,48 @@ currentfile eexec V&N3n]Db a[sK kԃ9$[F=e,&Ȩ)uv1DVIjaIç# 5k~QaMjFJL3.0lVem; YnⱪyRyh$&'gYx Qi- o 7kacg92X3]*#5sJ^fXגbA>!đkLa\wi\p d³JKWpt+2~-OC=<ߨ7H'4FDS٤d4isCD3M`=eO7mfz~6H36&UԍPց(5ۍX.:|[H"ɂ7SyZ?actS[lDA\t966an,2A?":6ߙ7xH/5e=v es% *W]l (+zE6:l12 ,]̄,fvpXBwcsrC*;΢v5mΝfq ZR`[A7;bTvʻbp'au&zM7nGkhj֔a#SfS/+  5&`81?{p~w~5(frEh]^bfhǑX;/%oOvٚc9rXo$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"ӚaSV(Mh|,f'JT)WycxxlkoQGKOͷNJ=x_=ǽj U+'""_3Agj sWqЅ#)2zyi<_*~80 @[?+95i5 W>u1 9dqO:C\SPh%7 +9-#lh=}^o݂&[:ty}ZQ Q{~SxmkQvT#@d2 8қt:uYX/=_Y -~I۾bҼw.gnνԿ4r|+B8k6G7XMV7U48#? K<1oxAt ǔ -ˬ/L;UzNyT܋ G+I`w1l^GӵIa}轭CsBw .yw2V"^'(̝BӔn $C̦pʀcEr7l 忢;Qkdi"?d_a!eKiWmYQpf&\VA:2hd):p=" qA.Aݰ=M"r8BWlMv-fe+Q5 [A!#Uފ )8oN|ǐ.V5J3W4y Uo6`+A8Lɗǵ+X[+3({;=HSZ}H'|U;wLVE5U?e|mt؍B*<`"rXon ś>Ꭿ>Y(-bE;mW7;k!rlfvO;3W$D|z`! -IJdT|ۓ1g酁MK4Xoa5ks4yʹ:hZwZ CEYRDc9%Xj\A] 'wA8.@HgL~喳P}hH_@'g~7l\͍r1_eY,5桶V1)p :qS–6LWsPQA) M?{"T:¨fg8/`Bo&ok1FXp>_ {f0Xt'(__mbhGPVr #BM/,^T~L1Ɂ,@D=\p/^6O3jYjfQG95M,{} -i'29?D?) 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hT؁v_687S3Hoy[Лଷj0wz#z5Ff[Ճ VsU 4N[ Ygcgp]Iۈ(d^ҮΜ&k^;-ol.)rk iPBX3t=B*A䘅ڃ,FhP9R 'K k<$ v98ҽ}q_:y@_̧c|9ī$A@lsqo =8}̮Anb +ь[yf9g(ӋCpH&օ 6A.\(5'AE| #K +),kT$@|W MM0HȨԭ:5UbRZ:|>ꨏ]6\8REI2}B1 kc pkLC5~6znxF [lckaX4zTpBCҥx,KIq[ޢi4բgu 1{T>Uڵ4 h4`$B"eP4 .KIY>vșnrktN{׃%Sqip'*.(xR<'vzWQGSwR}/{P]4XڦTJ,x71XI%ܲ8}R3?&N<]V=Lԟ˓Mf>ԶN'ZNW\}|i*Ga'+bHݍH+rԚB@W Ģh'".oד``15L>q {QWs]n;>؈3$pU:vZOYN#u*&;9VWnpE@tY>c)Ha WCu +1IK[)~>9ep{NUrV1Ԣ~]K4QZT|Y(־\<8oP0~>PCbGy:r&Kn`mgjkbJ +m(m찦+Y(*Y+Q0&> f \Niؗ<xL_ )cq̀Mq%$j[dzU8-xzd n‚GxFug-ԯwI~I_/<z3lyd@?!@&VP +Q3s% eD>R_(#K>Ï& p7ǕV`nP/Ӈf{h' DTafNvG{&84Lʑ%!)`ef"e.q?2acerHFoh'٤ ǵT Y=pIWs!2`̎=9ӷFHj4F" +a{F 4UOkǟ ݡӎ44#5!׬\.\Esanef$CEbC72s`k*K4\:kJLi|=~04ZI^;NvF(lm''ěRFRd_&%A%hRO>qS%;<@#V݉U)~ZF{ wV7H3Z +sc7|@EרfyZ2ͣ0cixWXk=T]8gΓXq Icש0z6xܬ/"#<*δ8]pی +] $[lKnБ)0>J[MH$i3y} Ҷc~ꨡqUзMSݱqъ;Fc@Kf=ק+sK|w*,#v_9gs7n&°1JpHi)DlۂF7~4d #uʡp?攇p僡Lm+k_)*V^O7Tߧgğ,=ۄ'_I( ճ=pB+vv&?:UhN ?O>WפL݈g!XZcr!4}kWį]$DpE );ӤX ދls<ޡ1+eMh>"% nBA'E5C1&FQ^(/1sdUEo^МZj8 6ESpCu] mJxPvc6pBT|DMO^8 `7;Ƈ /9a|vXXصvq_9 c ~֯!E,Akm5,2zs>؋fШэ1_V:]ssa6Y_3T Xi^BYN2~727͗Z(]1l,gC6D9 "D1NM&bm^Xj[^2Oe啖 ΰwF5]I[`* N +q J̍p閁g-XH|Asi +"EW+1Pʺ K{\~g̿7B)L{|xvEY NnZ!5/,`(,WK3.m,|:Wkvw҈GإUs1i1nSH~!͆u݃0b)J]!d:q' +vhҜ_%L)S_!XN9A:Fx-NC9{&Êiqwyg4jҔHC*BeFaHCvksdD'_MX'8sM&8ia;D*VޡFǼyݽ8s`H@VdeVF$2)ԉvt7Nf ։{vATrtu v&+=p:90HL7[ W['yKJY֔&Ρjtj6R1;@]|WպNKp -@(bl0* \ |"s9J~eڠ`T`X@\F+p +E&梚I)f) =ZcLSgl3='V8/"˞cҍF;Ϛ'tzҡܝΊr[N?t*5nBPLS:;`w.7v.`n}Z!.OrmdEe8h14ڮwZ fG*?J}\hC )ŒŴ@Z|g )imRbH֚Μlh zQi Tx!w{j<~x!::X*֍ۑ:rswzTԢlJl +1;B ?GzH VXUx&9,TwںqIer"K|'.?|0yKf۰Jh8 +#DmR4T&t+$0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 @@ -3871,37 +6672,37 @@ X cleartomark endstream endobj -90 0 obj << +94 0 obj << /Type /Font /Subtype /Type1 -/Encoding 306 0 R +/Encoding 367 0 R /FirstChar 12 /LastChar 122 -/Widths 307 0 R -/BaseFont /BXVSRE+CMBX10 -/FontDescriptor 88 0 R +/Widths 368 0 R +/BaseFont /RUIHVN+CMBX10 +/FontDescriptor 92 0 R >> endobj -88 0 obj << +92 0 obj << /Ascent 694 /CapHeight 686 /Descent -194 -/FontName /BXVSRE+CMBX10 +/FontName /RUIHVN+CMBX10 /ItalicAngle 0 /StemV 114 /XHeight 444 /FontBBox [-301 -250 1164 946] /Flags 4 -/CharSet (/fi/quoteright/parenleft/parenright/comma/hyphen/period/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon/question/A/B/C/D/E/F/G/H/I/L/M/N/O/P/R/S/T/U/V/X/a/b/c/d/e/f/g/h/i/k/l/m/n/o/p/q/r/s/t/u/v/w/y/z) -/FontFile 89 0 R +/CharSet (/fi/exclam/quoteright/parenleft/parenright/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon/question/A/B/C/D/E/F/G/H/I/L/M/N/O/P/Q/R/S/T/U/V/X/Z/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 93 0 R >> endobj -307 0 obj -[639 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 0 319 447 447 0 0 319 383 319 0 575 575 575 575 575 575 575 575 575 575 319 319 0 0 0 543 0 869 818 831 882 756 724 904 900 436 0 0 692 1092 900 864 786 0 862 639 800 885 869 0 869 0 0 0 0 0 0 0 0 559 639 511 639 527 351 575 639 319 0 607 319 958 639 575 639 607 474 454 447 639 607 831 0 607 511 ] +368 0 obj +[639 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 350 0 0 0 0 0 319 447 447 0 0 319 383 319 575 575 575 575 575 575 575 575 575 575 575 319 319 0 0 0 543 0 869 818 831 882 756 724 904 900 436 0 0 692 1092 900 864 786 864 862 639 800 885 869 0 869 0 703 0 0 0 0 0 0 559 639 511 639 527 351 575 639 319 0 607 319 958 639 575 639 607 474 454 447 639 607 831 607 607 511 ] endobj -306 0 obj << +367 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 12/fi 13/.notdef 39/quoteright/parenleft/parenright 42/.notdef 44/comma/hyphen/period 47/.notdef 48/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon 60/.notdef 63/question 64/.notdef 65/A/B/C/D/E/F/G/H/I 74/.notdef 76/L/M/N/O/P 81/.notdef 82/R/S/T/U/V 87/.notdef 88/X 89/.notdef 97/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 120/.notdef 121/y/z 123/.notdef] +/Differences [ 0 /.notdef 12/fi 13/.notdef 33/exclam 34/.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 63/question 64/.notdef 65/A/B/C/D/E/F/G/H/I 74/.notdef 76/L/M/N/O/P/Q/R/S/T/U/V 87/.notdef 88/X 89/.notdef 90/Z 91/.notdef 97/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 -86 0 obj << +90 0 obj << /Length1 2084 /Length2 15132 /Length3 532 @@ -3921,7 +6722,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /CEYEMG+CMR10 def +/FontName /GIGOGT+CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -4080,41 +6881,41 @@ S cleartomark endstream endobj -87 0 obj << +91 0 obj << /Type /Font /Subtype /Type1 -/Encoding 308 0 R +/Encoding 369 0 R /FirstChar 11 /LastChar 124 -/Widths 309 0 R -/BaseFont /CEYEMG+CMR10 -/FontDescriptor 85 0 R +/Widths 370 0 R +/BaseFont /GIGOGT+CMR10 +/FontDescriptor 89 0 R >> endobj -85 0 obj << +89 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /CEYEMG+CMR10 +/FontName /GIGOGT+CMR10 /ItalicAngle 0 /StemV 69 /XHeight 431 /FontBBox [-251 -250 1009 969] /Flags 4 /CharSet (/ff/fi/ffi/caron/quotedblright/ampersand/quoteright/parenleft/parenright/plus/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/Y/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 86 0 R +/FontFile 90 0 R >> endobj -309 0 obj +370 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 0 778 278 333 278 500 500 500 500 500 500 500 500 500 500 500 278 278 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 750 750 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 ] endobj -308 0 obj << +369 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 43/plus/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/Y 90/.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] >> endobj -74 0 obj << -/Length1 1354 -/Length2 7143 +78 0 obj << +/Length1 1336 +/Length2 6946 /Length3 532 -/Length 9029 +/Length 8814 >> stream %!PS-AdobeFont-1.1: CMR12 1.0 @@ -4130,7 +6931,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /EJVRCY+CMR12 def +/FontName /OJOYQU+CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -4143,7 +6944,6 @@ dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put -dup 51 /three put dup 56 /eight put dup 58 /colon put dup 65 /A put @@ -4181,27 +6981,43 @@ readonly def currentdict end currentfile eexec oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\@[6]nhmlhaH+4/?3&n=a6E#|~.ԅˠLw2.槝sNY ڻ.,VnNX3|裠k(QIOs m;fߖC1}_a Io#0wݙ\P,f *bG3Z2کP8L3r[vnc_Eh~g9|M) }YaѕH|1m![AzXpPNCU7Uֲ7ΖTgx_hyW^]W}s_Zfs@dYr ȟsy&vJx)ݱ~Kq -45hL#q:4pP?g |GJSn^i26M Ęz0. v31껰xCj 7}0a `~iEfÎ}O>&*gϿ60CL͘sc·^X0IF +3yP.wP=vH?tx??jKvcJ ފO(WfnYc+ՈuMWkSMpy2La }gH,HA ngVU4NN7z3=ʿM1(2iznl7 J[7һDH]WUMi)hiwuPJv+]/XNkn|´?4ҫf kE{'ǺW1 os!w#v. -RGgkx0S"MB$0kSlk6C)R`+&gljᑢ_5s$ U$;|Q|nÜ2 @%ړqP c TުOe[H__i:&g&A`ܧ%2V=&+#hOSV({.4_cR~]cx)S7.)*eIa4CԀw٫u1XU%̀OZnl:}"ՋbNKOY]3dqwαR즰}Hڟ '*EZW{l]}%I>PU1C6ڎD'S-K,1B'jP ]cX8t=^K|=cqcp5h1hXt"w/p֕k?[?gsN ɁNDMs"Ȁ0vB(e-w_=Jp!~UmsJ jL 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0000000000000000000000000000000000000000000000000000000000000000 @@ -4212,37 +7028,37 @@ Dg.0 cleartomark endstream endobj -75 0 obj << +79 0 obj << /Type /Font /Subtype /Type1 -/Encoding 310 0 R +/Encoding 371 0 R /FirstChar 34 /LastChar 121 -/Widths 311 0 R -/BaseFont /EJVRCY+CMR12 -/FontDescriptor 73 0 R +/Widths 372 0 R +/BaseFont /OJOYQU+CMR12 +/FontDescriptor 77 0 R >> endobj -73 0 obj << +77 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /EJVRCY+CMR12 +/FontName /OJOYQU+CMR12 /ItalicAngle 0 /StemV 65 /XHeight 431 /FontBBox [-34 -251 988 750] /Flags 4 -/CharSet (/quotedblright/comma/hyphen/period/zero/one/two/three/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 74 0 R +/CharSet (/quotedblright/comma/hyphen/period/zero/one/two/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 >> endobj -311 0 obj -[490 0 0 0 0 0 0 0 0 0 272 326 272 0 490 490 490 490 0 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 ] +372 0 obj +[490 0 0 0 0 0 0 0 0 0 272 326 272 0 490 490 490 0 0 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 ] endobj -310 0 obj << +371 0 obj << /Type /Encoding -/Differences [ 0 /.notdef 34/quotedblright 35/.notdef 44/comma/hyphen/period 47/.notdef 48/zero/one/two/three 52/.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 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 -71 0 obj << +75 0 obj << /Length1 1144 /Length2 6097 /Length3 532 @@ -4262,7 +7078,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /DGTDPU+CMTI12 def +/FontName /KPYWIE+CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -4333,41 +7149,41 @@ Y| cleartomark endstream endobj -72 0 obj << +76 0 obj << /Type /Font /Subtype /Type1 -/Encoding 312 0 R +/Encoding 373 0 R /FirstChar 45 /LastChar 118 -/Widths 313 0 R -/BaseFont /DGTDPU+CMTI12 -/FontDescriptor 70 0 R +/Widths 374 0 R +/BaseFont /KPYWIE+CMTI12 +/FontDescriptor 74 0 R >> endobj -70 0 obj << +74 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /DGTDPU+CMTI12 +/FontName /KPYWIE+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 71 0 R +/FontFile 75 0 R >> endobj -313 0 obj +374 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 -312 0 obj << +373 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 -68 0 obj << -/Length1 1517 -/Length2 8719 +72 0 obj << +/Length1 1483 +/Length2 8529 /Length3 532 -/Length 10768 +/Length 10544 >> stream %!PS-AdobeFont-1.1: CMBX12 1.0 @@ -4383,7 +7199,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /OBWNOB+CMBX12 def +/FontName /YRKFFX+CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -4391,7 +7207,6 @@ end readonly def 0 1 255 {1 index exch /.notdef put} for dup 12 /fi put dup 39 /quoteright put -dup 45 /hyphen put dup 46 /period put dup 49 /one put dup 50 /two put @@ -4426,7 +7241,6 @@ 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 @@ -4446,35 +7260,35 @@ readonly def currentdict end currentfile eexec oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_dV`Ky Z]uMYb[1[l',t\pڮԞZO4GJ7 i!U&Ϸݢh`ZṆhKGz; #1&()$J3KُօEsjFf"P$-I޵˕B -6=hqDV<` EkENrraƌJG ~L{6IE6U'y 0gK>&)o>2\U]$XW-1f@'B 1mW=L%5t.O-]N CT4>&wvNXŅCf עr1fׁVCȖ~q0 Xf^^$ӷ%G7dȱ\lFc0]g<銷_&W{>}N|ӷ 054H4ܞlG>T_cќ6Y1 nUr-u$zq1k.s+6'F2炁.rq5#3|u)pվc Nr3 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