initialisation

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+\@writefile{toc}{\contentsline {title}{Survey on Hardware Implementation of Random Number Generators on FPGA: Theories and Experiments Analysis}{1}}\r
+\@writefile{toc}{\authcount {1}}\r
+\@writefile{toc}{\contentsline {author}{Mohammed Bakiri\unskip {}, Christophe Guyeux\unskip {}, Jean-Francois Chouchot\unskip {}, Abdelkrim Oudjida\unskip {}}{1}}\r
+\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}}\r
+\newlabel{Introduction}{{1}{1}}\r
+\@writefile{toc}{\contentsline {section}{\numberline {2}Random Number Generator: Theories and Classification}{1}}\r
+\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Pseudorandom Galois Generators}{1}}\r
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+\@writefile{toc}{\contentsline {section}{\numberline {3}Pseaudo Random Number Generator}{2}}\r
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+\citation{anghelescu2007vlsi}\r
+\citation{dogaru2010algebraic}\r
+\citation{ioana2014fpga}\r
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+\citation{dabal2012fpga}\r
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+\citation{5554284}\r
+\citation{mao2006design}\r
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Chaotic Rundom Number Generator}{6}}\r
+\citation{mansingka2013fibonacci}\r
+\citation{fischer2003true}\r
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+\citation{kohlbrenner2004embedded}\r
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+\citation{cherkaoui2013self}\r
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+\citation{lee2014metastability}\r
+\@writefile{toc}{\contentsline {section}{\numberline {5}Rundom Number Generator:Experiments Analysis }{9}}\r
+\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Statistic Test}{9}}\r
+\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Hardware Implementation}{10}}\r
+\bibstyle{plain}\r
+\bibdata{References}\r
+\bibcite{anghelescu2007vlsi}{1}\r
+\bibcite{banks2008fpga}{2}\r
+\bibcite{cerda2012efficient}{3}\r
+\bibcite{chandrasekaran2008high}{4}\r
+\bibcite{cherkaoui2012comparison}{5}\r
+\bibcite{cherkaoui2013self}{6}\r
+\@writefile{toc}{\contentsline {section}{\numberline {6}Conclusion}{11}}\r
+\@writefile{toc}{\contentsline {section}{\numberline {7}References}{11}}\r
+\bibcite{comer2012random}{7}\r
+\bibcite{dabal2011chaos}{8}\r
+\bibcite{dabal2012fpga}{9}\r
+\bibcite{6868789}{10}\r
+\bibcite{dalal2008fast}{11}\r
+\bibcite{dichtl2007high}{12}\r
+\bibcite{dogaru2010algebraic}{13}\r
+\bibcite{echeverria2013high}{14}\r
+\bibcite{6614692}{15}\r
+\bibcite{fischer2003true}{16}\r
+\bibcite{gonzalez2011pseudorandom}{17}\r
+\bibcite{guan2003pseudorandom}{18}\r
+\bibcite{hariprasad2013fpga}{19}\r
+\bibcite{ioana2014fpga}{20}\r
+\bibcite{kang2010fpga}{21}\r
+\bibcite{katti2009efficient}{22}\r
+\bibcite{klein2009design}{23}\r
+\bibcite{kohlbrenner2004embedded}{24}\r
+\bibcite{kotoulas20061}{25}\r
+\bibcite{lee2014metastability}{26}\r
+\bibcite{li2012efficient}{27}\r
+\bibcite{majzoobi2011fpga}{28}\r
+\bibcite{mansingka2013fibonacci}{29}\r
+\bibcite{mao2006design}{30}\r
+\bibcite{merahcoupling}{31}\r
+\bibcite{peris2010cryptographically}{32}\r
+\bibcite{raut2013stream}{33}\r
+\bibcite{sewak2012fpga}{34}\r
+\bibcite{vsimka2005embedded}{35}\r
+\bibcite{simka2011testing}{36}\r
+\bibcite{thomas2014fpga}{37}\r
+\bibcite{thomas2010fpga}{38}\r
+\bibcite{thomas2013lut}{39}\r
+\bibcite{thomas2008fpga}{40}\r
+\bibcite{tian2009mersenne}{41}\r
+\bibcite{tsoi2003compact}{42}\r
+\bibcite{varchola2008hardware}{43}\r
+\bibcite{vasyltsov2008fast}{44}\r
+\bibcite{wu2013hardware}{45}\r
+\bibcite{5554284}{46}\r

diff --git a/0-Main_Paper.bbl b/0-Main_Paper.bbl
new file mode 100644 (file)
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+\begin{thebibliography}{10}\r
+\r
+\bibitem{anghelescu2007vlsi}\r
+Petre Anghelescu, Emil Sofron, and Silviu Ionita.\r
+\newblock Vlsi implementation of high-speed cellular automata encryption\r
+  algorithm.\r
+\newblock In {\em Semiconductor Conference, 2007. CAS 2007. International},\r
+  volume~2, pages 509--512. IEEE, 2007.\r
+\r
+\bibitem{banks2008fpga}\r
+Simon Banks, Philip Beadling, and Andras Ferencz.\r
+\newblock Fpga implementation of pseudo random number generators for monte\r
+  carlo methods in quantitative finance.\r
+\newblock In {\em Reconfigurable Computing and FPGAs, 2008. ReConFig'08.\r
+  International Conference on}, pages 271--276. IEEE, 2008.\r
+\r
+\bibitem{cerda2012efficient}\r
+Juan~C Cerda, Chris~D Martinez, Jonathan~M Comer, and David~HK Hoe.\r
+\newblock An efficient fpga random number generator using lfsrs and cellular\r
+  automata.\r
+\newblock In {\em Circuits and Systems (MWSCAS), 2012 IEEE 55th International\r
+  Midwest Symposium on}, pages 912--915. IEEE, 2012.\r
+\r
+\bibitem{chandrasekaran2008high}\r
+Shrutisagar Chandrasekaran and Abbes Amira.\r
+\newblock High performance fpga implementation of the mersenne twister.\r
+\newblock In {\em Electronic Design, Test and Applications, 2008. DELTA 2008.\r
+  4th IEEE International Symposium on}, pages 482--485. IEEE, 2008.\r
+\r
+\bibitem{cherkaoui2012comparison}\r
+Abdelkarim Cherkaoui, Viktor Fischer, Alain Aubert, and Laurent Fesquet.\r
+\newblock Comparison of self-timed ring and inverter ring oscillators as\r
+  entropy sources in fpgas.\r
+\newblock In {\em Design, Automation \& Test in Europe Conference \& Exhibition\r
+  (DATE), 2012}, pages 1325--1330. IEEE, 2012.\r
+\r
+\bibitem{cherkaoui2013self}\r
+Abdelkarim Cherkaoui, Viktor Fischer, Alain Aubert, and Laurent Fesquet.\r
+\newblock A self-timed ring based true random number generator.\r
+\newblock In {\em Asynchronous Circuits and Systems (ASYNC), 2013 IEEE 19th\r
+  International Symposium on}, pages 99--106. IEEE, 2013.\r
+\r
+\bibitem{comer2012random}\r
+Jonathan~M Comer, Juan~C Cerda, Chris~D Martinez, and David~HK Hoe.\r
+\newblock Random number generators using cellular automata implemented on\r
+  fpgas.\r
+\newblock In {\em System Theory (SSST), 2012 44th Southeastern Symposium on},\r
+  pages 67--72. IEEE, 2012.\r
+\r
+\bibitem{dabal2011chaos}\r
+Pawel Dabal and Ryszard Pelka.\r
+\newblock A chaos-based pseudo-random bit generator implemented in fpga device.\r
+\newblock In {\em Design and Diagnostics of Electronic Circuits \& Systems\r
+  (DDECS), 2011 IEEE 14th International Symposium on}, pages 151--154. IEEE,\r
+  2011.\r
+\r
+\bibitem{dabal2012fpga}\r
+Pawel Dabal and Ryszard Pelka.\r
+\newblock Fpga implementation of chaotic pseudo-random bit generators.\r
+\newblock In {\em Mixed Design of Integrated Circuits and Systems (MIXDES),\r
+  2012 Proceedings of the 19th International Conference}, pages 260--264. IEEE,\r
+  2012.\r
+\r
+\bibitem{6868789}\r
+Pawel Dabal and Ryszard Pelka.\r
+\newblock A study on fast pipelined pseudo-random number generator based on\r
+  chaotic logistic map.\r
+\newblock In {\em Design and Diagnostics of Electronic Circuits Systems, 17th\r
+  International Symposium on}, pages 195--200, April 2014.\r
+\r
+\bibitem{dalal2008fast}\r
+Ishaan~L Dalal, Jared Harwayne-Gidansky, and Deian Stefan.\r
+\newblock On the fast generation of long-period pseudorandom number sequences.\r
+\newblock In {\em Systems, Applications and Technology Conference, 2008 IEEE\r
+  Long Island}, pages 1--9. IEEE, 2008.\r
+\r
+\bibitem{dichtl2007high}\r
+Markus Dichtl and Jovan~Dj Goli{\'c}.\r
+\newblock {\em High-speed true random number generation with logic gates only}.\r
+\newblock Springer, 2007.\r
+\r
+\bibitem{dogaru2010algebraic}\r
+Ioana Dogaru and Radu Dogaru.\r
+\newblock Algebraic normal form for rapid prototyping of elementary hybrid\r
+  cellular automata in fpga.\r
+\newblock In {\em Electrical and Electronics Engineering (ISEEE), 2010 3rd\r
+  International Symposium on}, pages 277--280. IEEE, 2010.\r
+\r
+\bibitem{echeverria2013high}\r
+Pedro Echeverr{\'\i}a and Marisa L{\'o}pez-Vallejo.\r
+\newblock High performance fpga-oriented mersenne twister uniform random number\r
+  generator.\r
+\newblock {\em Journal of Signal Processing Systems}, 71(2):105--109, 2013.\r
+\r
+\bibitem{6614692}\r
+E.~Erkek and T.~Tuncer.\r
+\newblock The implementation of asg and sg random number generators.\r
+\newblock In {\em System Science and Engineering (ICSSE), 2013 International\r
+  Conference on}, pages 363--367, July 2013.\r
+\r
+\bibitem{fischer2003true}\r
+Viktor Fischer and Milo{\v{s}} Drutarovsk{\`y}.\r
+\newblock True random number generator embedded in reconfigurable hardware.\r
+\newblock In {\em Cryptographic Hardware and Embedded Systems-CHES 2002}, pages\r
+  415--430. Springer, 2003.\r
+\r
+\bibitem{gonzalez2011pseudorandom}\r
+Victor~R Gonzalez-Diaz, Fabio Pareschi, Gianluca Setti, and Franco Maloberti.\r
+\newblock A pseudorandom number generator based on time-variant recursion of\r
+  accumulators.\r
+\newblock {\em Circuits and Systems II: Express Briefs, IEEE Transactions on},\r
+  58(9):580--584, 2011.\r
+\r
+\bibitem{guan2003pseudorandom}\r
+Sheng-Uei Guan and Syn~Kiat Tan.\r
+\newblock Pseudorandom number generator--the self programmable cellular\r
+  automata.\r
+\newblock In {\em Knowledge-Based Intelligent Information and Engineering\r
+  Systems}, pages 1230--1235. Springer, 2003.\r
+\r
+\bibitem{hariprasad2013fpga}\r
+NagaDeepa Hariprasad et~al.\r
+\newblock Fpga implementation of a cryptography technology using pseudo random\r
+  number generator.\r
+\newblock In {\em International Journal of Engineering Research and\r
+  Technology}, volume~2. ESRSA Publications, 2013.\r
+\r
+\bibitem{ioana2014fpga}\r
+Dogaru Ioana and Dogaru Radu.\r
+\newblock Fpga implementation and evaluation of two cryptographically secure\r
+  hybrid cellular automata.\r
+\newblock In {\em Communications (COMM), 2014 10th International Conference\r
+  on}, pages 1--4. IEEE, 2014.\r
+\r
+\bibitem{kang2010fpga}\r
+Minsu Kang.\r
+\newblock Fpga implementation of gaussian-distributed pseudo-random number\r
+  generator.\r
+\newblock In {\em 6th International Conference on Digital Content, Multimedia\r
+  Technology and its Applications}, pages 11--13, 2010.\r
+\r
+\bibitem{katti2009efficient}\r
+Raj~S Katti and Sudarshan~K Srinivasan.\r
+\newblock Efficient hardware implementation of a new pseudo-random bit sequence\r
+  generator.\r
+\newblock In {\em Circuits and Systems, 2009. ISCAS 2009. IEEE International\r
+  Symposium on}, pages 1393--1396. IEEE, 2009.\r
+\r
+\bibitem{klein2009design}\r
+Cristian Klein, Octavian Cret, and Alin Suciu.\r
+\newblock Design and implementation of a high quality and high throughput trng\r
+  in fpga.\r
+\newblock {\em arXiv preprint arXiv:0906.4762}, 2009.\r
+\r
+\bibitem{kohlbrenner2004embedded}\r
+Paul Kohlbrenner and Kris Gaj.\r
+\newblock An embedded true random number generator for fpgas.\r
+\newblock In {\em Proceedings of the 2004 ACM/SIGDA 12th international\r
+  symposium on Field programmable gate arrays}, pages 71--78. ACM, 2004.\r
+\r
+\bibitem{kotoulas20061}\r
+Leonidas Kotoulas, Demetrios Tsarouchis, Georgios~Ch Sirakoulis, and Ioannis\r
+  Andreadis.\r
+\newblock 1-d cellular automaton for pseudorandom number generation and its\r
+  reconfigurable hardware implementation.\r
+\newblock In {\em Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006\r
+  IEEE International Symposium on}, pages 4--pp. IEEE, 2006.\r
+\r
+\bibitem{lee2014metastability}\r
+Donggeon Lee, Hwajeong Seo, and Howon Kim.\r
+\newblock Metastability-based feedback method for enhancing fpga-based trng.\r
+\newblock {\em International Journal of Multimedia \& Ubiquitous Engineering},\r
+  9(3), 2014.\r
+\r
+\bibitem{li2012efficient}\r
+Yuan Li, Jiang Jiang, Hanqiang Cheng, Minxuan Zhang, and Shaojun Wei.\r
+\newblock An efficient hardware random number generator based on the mt method.\r
+\newblock In {\em Computer and Information Technology (CIT), 2012 IEEE 12th\r
+  International Conference on}, pages 1011--1015. IEEE, 2012.\r
+\r
+\bibitem{majzoobi2011fpga}\r
+Mehrdad Majzoobi, Farinaz Koushanfar, and Srinivas Devadas.\r
+\newblock Fpga-based true random number generation using circuit metastability\r
+  with adaptive feedback control.\r
+\newblock In {\em Cryptographic Hardware and Embedded Systems--CHES 2011},\r
+  pages 17--32. Springer, 2011.\r
+\r
+\bibitem{mansingka2013fibonacci}\r
+Abhinav~S Mansingka, Mohamed~L Barakat, M~Affan Zidan, Ahmed~G Radwan, and\r
+  Khaled~N Salama.\r
+\newblock Fibonacci-based hardware post-processing for non-autonomous signum\r
+  hyperchaotic system.\r
+\newblock In {\em IT Convergence and Security (ICITCS), 2013 International\r
+  Conference on}, pages 1--4. IEEE, 2013.\r
+\r
+\bibitem{mao2006design}\r
+Yaobin Mao, Liu Cao, and Wenbo Liu.\r
+\newblock Design and fpga implementation of a pseudo-random bit sequence\r
+  generator using spatiotemporal chaos.\r
+\newblock In {\em Communications, Circuits and Systems Proceedings, 2006\r
+  International Conference on}, volume~3, pages 2114--2118. IEEE, 2006.\r
+\r
+\bibitem{merahcoupling}\r
+Lahcene Merah, Adda ALI-PACHA, and Naima~HADJ SAID.\r
+\newblock Coupling two chaotic systems in order to increasing the security of a\r
+  communication system-study and real time fpga implementation.\r
+\r
+\bibitem{peris2010cryptographically}\r
+Pedro Peris-Lopez, Enrique San~Millan, Jan~CA van~der Lubbe, and Luis~A\r
+  Entrena.\r
+\newblock Cryptographically secure pseudo-random bit generator for rfid tags.\r
+\newblock In {\em Internet Technology and Secured Transactions (ICITST), 2010\r
+  International Conference for}, pages 1--6. IEEE, 2010.\r
+\r
+\bibitem{raut2013stream}\r
+Lakshman Raut and David~HK Hoe.\r
+\newblock Stream cipher design using cellular automata implemented on fpgas.\r
+\newblock In {\em System Theory (SSST), 2013 45th Southeastern Symposium on},\r
+  pages 146--149. IEEE, 2013.\r
+\r
+\bibitem{sewak2012fpga}\r
+Khushboo Sewak, Praveena Rajput, and Amit~Kumar Panda.\r
+\newblock Fpga implementation of 16 bit bbs and lfsr pn sequence generator: A\r
+  comparative study.\r
+\newblock In {\em Electrical, Electronics and Computer Science (SCEECS), 2012\r
+  IEEE Students' Conference on}, pages 1--3. IEEE, 2012.\r
+\r
+\bibitem{vsimka2005embedded}\r
+Martin {\v{S}}imka, Milo{\v{s}} Drutarovsk{\`y}, and Viktor Fischer.\r
+\newblock Embedded true random number generator in actel fpgas.\r
+\newblock In {\em Workshop on Cryptographic Advances in Secure\r
+  Hardware--CRASH}, pages 6--7, 2005.\r
+\r
+\bibitem{simka2011testing}\r
+Martin Simka, Milos Drutarovsk{\`y}, Viktor Fischer, et~al.\r
+\newblock Testing of pll-based true random number generator in changingworking\r
+  conditions.\r
+\newblock {\em RADIOENGINEERING,}, 20:94--101, 2011.\r
+\r
+\bibitem{thomas2014fpga}\r
+David~B Thomas.\r
+\newblock Fpga gaussian random number generators with guaranteed statistical\r
+  accuracy.\r
+\newblock In {\em Field-Programmable Custom Computing Machines (FCCM), 2014\r
+  IEEE 22nd Annual International Symposium on}, pages 149--156. IEEE, 2014.\r
+\r
+\bibitem{thomas2010fpga}\r
+David~B Thomas and Wayne Luk.\r
+\newblock Fpga-optimised uniform random number generators using luts and shift\r
+  registers.\r
+\newblock In {\em Field Programmable Logic and Applications (FPL), 2010\r
+  International Conference on}, pages 77--82. IEEE, 2010.\r
+\r
+\bibitem{thomas2013lut}\r
+David~B Thomas and Wayne Luk.\r
+\newblock The lut-sr family of uniform random number generators for fpga\r
+  architectures.\r
+\newblock {\em Very Large Scale Integration (VLSI) Systems, IEEE Transactions\r
+  on}, 21(4):761--770, 2013.\r
+\r
+\bibitem{thomas2008fpga}\r
+David~Barrie Thomas and Wayne Luk.\r
+\newblock Fpga-optimised high-quality uniform random number generators.\r
+\newblock In {\em Proceedings of the 16th international ACM/SIGDA symposium on\r
+  Field programmable gate arrays}, pages 235--244. ACM, 2008.\r
+\r
+\bibitem{tian2009mersenne}\r
+Xiang Tian and Khaled Benkrid.\r
+\newblock Mersenne twister random number generation on fpga, cpu and gpu.\r
+\newblock In {\em Adaptive Hardware and Systems, 2009. AHS 2009. NASA/ESA\r
+  Conference on}, pages 460--464. IEEE, 2009.\r
+\r
+\bibitem{tsoi2003compact}\r
+Kuen~Hung Tsoi, KH~Leung, and Philip Heng~Wai Leong.\r
+\newblock Compact fpga-based true and pseudo random number generators.\r
+\newblock In {\em Field-Programmable Custom Computing Machines, 2003. FCCM\r
+  2003. 11th Annual IEEE Symposium on}, pages 51--61. IEEE, 2003.\r
+\r
+\bibitem{varchola2008hardware}\r
+Michal Varchola, Milos Drutarovsky, Robert Fouquet, and Viktor Fischer.\r
+\newblock Hardware platform for testing performance of trngs embedded in actel\r
+  fusion fpga.\r
+\newblock In {\em Radioelektronika, 2008 18th International Conference}, pages\r
+  1--4. IEEE, 2008.\r
+\r
+\bibitem{vasyltsov2008fast}\r
+Ihor Vasyltsov, Eduard Hambardzumyan, Young-Sik Kim, and Bohdan Karpinskyy.\r
+\newblock Fast digital trng based on metastable ring oscillator.\r
+\newblock In {\em Cryptographic Hardware and Embedded Systems--CHES 2008},\r
+  pages 164--180. Springer, 2008.\r
+\r
+\bibitem{wu2013hardware}\r
+Shengfei Wu, Jiang Jiang, and Yuzhuo Fu.\r
+\newblock Hardware architecture for the parallel generation of long-period\r
+  random numbers using mt method.\r
+\newblock In {\em Computer Engineering and Technology}, pages 8--15. Springer,\r
+  2013.\r
+\r
+\bibitem{5554284}\r
+Ziqi Zhu and Hanping Hu.\r
+\newblock A dynamic nonlinear transform arithmetic for improving the properties\r
+  chaos-based prng.\r
+\newblock In {\em Intelligent Control and Automation (WCICA), 2010 8th World\r
+  Congress on}, pages 7055--7060, July 2010.\r
+\r
+\end{thebibliography}\r

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+Warning--can't use both volume and number fields in hariprasad2013fpga\r
+Warning--empty journal in merahcoupling\r
+Warning--empty year in merahcoupling\r
+(There were 3 warnings)\r

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+%%% Autors %%%
+\urldef{\mailsa}\path|mbakiri@cdta.dz,|
+\urldef{\mailsb}\path|Christophe.Guyeux@femto-st.fr|    
+\newcommand{\keywords}[1]{\par\addvspace\baselineskip
+\noindent\keywordname\enspace\ignorespaces#1}
+
+
+\begin{document}
+\mainmatter  % start of an individual contribution
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Start Define the Title
+% 1.0
+\title{Survey on Hardware Implementation of Random Number Generators on FPGA: Theories and Experiments Analysis}
+
+% 1.2
+% a short form should be given in case it is too long for the running head
+\titlerunning{Survey on Hardware Implementation of Random Number Generators}
+
+% the name(s) of the author(s) follow(s) next
+% 1.3
+%\author{Mohammed Bakiri\inst{1} \and Christophe Guyeux\inst{2}}
+\author{Mohammed Bakiri\inst{1}, Christophe Guyeux\inst{2}, Jean-Francois Chouchot\inst{2}, Abdelkrim Oudjida\inst{1}}
+
+% (feature abused for this document to repeat the title also on left hand pages)
+% 1.4 
+%\authorrunning{Mohammed Bakiri\and Christophe Guyeux\ss er}
+
+% the affiliations are given next
+%1.5
+\institute{Center for Development of Advanced Technologies, Algiers, Algeria\and
+FEMTO-ST Institute,UMR CNRS 6174, University of Franche-Comte, France\\
+\mailsa
+\mailsb}
+
+% 1.6 Creer le Titre
+\maketitle
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{abstract}
+this paper introduce a survey on PRNG on FPGA.\dots
+
+\keywords{Random Number Generator, PRNG, TRNG, Chaotic PRNG, Cryptography, Security, FPGA}
+\end{abstract}
+
+\section{Introduction}
+\input{1-Introduction.tex}
+
+%\section{Terminologies and Basic Recall}
+%\input{2-Terminologies_and_Basic_Recall.tex}
+
+\section{Random Number Generator: Theories and Classification}
+We can find many implementation of RNG in Software and Hardware but all can be classifies generally as PRNG, TRNG and  Hybrid,  but new concept has been introduce this last year's defined by parallel and chaotic generator.
+\input{2-Terminologies_and_Basic_Recall.tex}
+
+%%% All Type of PRNG
+\section{Pseaudo Random Number Generator}
+\input{PRNG/PRNG.tex}
+
+%%% All Type of TRNG
+\section{True Random Number Generator}
+\input{Others/TRNG.tex}
+
+%%% Compare ALL RNG for Statistic Test
+\section{Rundom Number Generator:Experiments Analysis }
+\subsection{Statistic Test}
+\input{4-Statistic_Test.tex}
+
+%%% Compare ALL RNG for Statistic Test
+%\section{Rundom Number Generator: Cryptography Secure}
+\input{5-Cryptography_Secure.tex}
+
+%%% Compare ALL RNG for Statistic Test
+\subsection{Hardware Implementation}
+\input{6-Hardware_Implementation.tex}
+
+%%% Conclusion
+\section{Conclusion}
+\input{7-Conclusion.tex}
+
+\section{References}
+
+\bibliographystyle{plain} 
+\bibliography{References}
+
+
+\end{document}
\ No newline at end of file

diff --git a/0-Main_Paper.tex.bak b/0-Main_Paper.tex.bak
new file mode 100644 (file)
index 0000000..3c21680
--- /dev/null
+++ b/0-Main_Paper.tex.bak
@@ -0,0 +1,101 @@
+%% Start Paper
+\documentclass[English, runningheads,a4paper]{llncs}
+%
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\usepackage{makeidx}
+\usepackage{graphicx}
+\usepackage{epstopdf}
+\usepackage{booktabs} 
+\usepackage{multirow}
+\usepackage{cite}
+%\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry}
+\usepackage{url}
+%%% Autors %%%
+\urldef{\mailsa}\path|mbakiri@cdta.dz,|
+\urldef{\mailsb}\path|Christophe.Guyeux@femto-st.fr|    
+\newcommand{\keywords}[1]{\par\addvspace\baselineskip
+\noindent\keywordname\enspace\ignorespaces#1}
+
+
+\begin{document}
+\mainmatter  % start of an individual contribution
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Start Define the Title
+% 1.0
+\title{Survey on Hardware Implementation of Random Number Generators on FPGA: Theories and Experiments Analysis}
+
+% 1.2
+% a short form should be given in case it is too long for the running head
+\titlerunning{Survey on Hardware Implementation of Random Number Generators}
+
+% the name(s) of the author(s) follow(s) next
+% 1.3
+%\author{Mohammed Bakiri\inst{1} \and Christophe Guyeux\inst{2}}
+\author{Mohammed Bakiri\inst{1}, Christophe Guyeux\inst{2}, Jean-Francois Chouchot\inst{2}, Abdelkrim Oudjida\inst{1}}
+
+% (feature abused for this document to repeat the title also on left hand pages)
+% 1.4 
+%\authorrunning{Mohammed Bakiri\and Christophe Guyeux\ss er}
+
+% the affiliations are given next
+%1.5
+\institute{Center for Development of Advanced Technologies, Algiers, Algeria\and
+FEMTO-ST Institute,UMR CNRS 6174, University of Franche-Comte, France\\
+\mailsa
+\mailsb}
+
+% 1.6 Creer le Titre
+\maketitle
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{abstract}
+this paper introduce a survey on PRNG on FPGA.\dots
+
+\keywords{Random Number Generator, PRNG, TRNG, Chaotic PRNG, Cryptography, Security, FPGA}
+\end{abstract}
+
+\section{Introduction}
+\input{1-Introduction.tex}
+
+%\section{Terminologies and Basic Recall}
+%\input{2-Terminologies_and_Basic_Recall.tex}
+
+\section{Random Number Generator: Theories and Classification}
+We can find many implementation of RNG in Software and Hardware but all can be classifies generally as PRNG, TRNG and  Hybrid,  but new concept has been introduce this last year's defined by parallel and chaotic generator.
+\input{2-Terminologies_and_Basic_Recall.tex}
+
+%%% All Type of PRNG
+\section{Pseaudo Random Number Generator}
+\input{PRNG/PRNG.tex}
+
+%%% All Type of TRNG
+\section{True Random Number Generator}
+\input{Others/TRNG.tex}
+
+%%% Compare ALL RNG for Statistic Test
+\section{Rundom Number Generator:Experiments Analysis }
+\subsection{Statistic Test}
+\input{4-Statistic_Test.tex}
+
+%%% Compare ALL RNG for Statistic Test
+%\section{Rundom Number Generator: Cryptography Secure}
+\input{5-Cryptography_Secure.tex}
+
+%%% Compare ALL RNG for Statistic Test
+\subsection{Hardware Implementation}
+\input{6-Hardware_Implementation.tex}
+
+%%% Conclusion
+\section{Conclusion}
+\input{7-Conclusion.tex}
+
+\section{References}
+
+\bibliographystyle{plain} 
+\bibliography{References}
+
+
+\end{document}
\ No newline at end of file

diff --git a/1-Introduction.tex b/1-Introduction.tex
new file mode 100644 (file)
index 0000000..ab4a28a
--- /dev/null
+++ b/1-Introduction.tex
@@ -0,0 +1,2 @@
+\label{Introduction}
+1
\ No newline at end of file

diff --git a/1-Introduction.tex.bak b/1-Introduction.tex.bak
new file mode 100644 (file)
index 0000000..ab4a28a
--- /dev/null
+++ b/1-Introduction.tex.bak
@@ -0,0 +1,2 @@
+\label{Introduction}
+1
\ No newline at end of file

diff --git a/2-Terminologies_and_Basic_Recall.tex b/2-Terminologies_and_Basic_Recall.tex
new file mode 100644 (file)
index 0000000..7a5ec06
--- /dev/null
+++ b/2-Terminologies_and_Basic_Recall.tex
@@ -0,0 +1,10 @@
+\subsection{Pseudorandom Galois Generators}
+F2-linear generators are a well-known PRNG class of and a special case of matrix linear recurrence modulo 2, where they are appropriate for low power and high speed requirement. However with the limitation of the shift register state, this generators enter to a finite and repeated state cycle and have a short period cycle. Because of that many hardware optimization are proposed to perform a good random and increase the period. A linear Random Number generator are defined following thous equations, where the first equation (1) $x_{t} = (x_{t,0}, . . . , x_{t,k−1})^{s}$ $\in F{^{k}}_{2}$ is the k-bit state vector at step n. the second equation (2) $y_{t} = (y_{t,0}, . . . , y_{t,w−1})^{s}$ $\in F{^{k}}_{2}$ is the w-bit output vector at step t, k and w are positive integers. Where, A is a $k*k$ transition matrix with elements in $F_{2}$, B is a $w*k$ output transformation matrix with elements in $F_{2}$, and $u_{i} \in [0, 1]$ is the output at step t:\\
+$x_{t} = A*x_{t−1}$ (1) \\
+$y_{t} = B*x{t}$ (2) \\
+$u_{t} = {\overset{w}{\underset{\ell= l}{\sum}}} \ y_{t,\ell -1} \ 2^{-\ell} = y_{t,0} \ y_{t,1} \ y_{t,2}\ · · · $ (3) \\
+
+The characteristic polynomial of the matrix A is $x_{t} = a_{i}x{t-1} \ + \ · \ · \ · \ + \ a_{k}x_{t-k}$
+
+
+\subsection{Discrete Dynamics}
\ No newline at end of file

diff --git a/2-Terminologies_and_Basic_Recall.tex.bak b/2-Terminologies_and_Basic_Recall.tex.bak
new file mode 100644 (file)
index 0000000..bfd6b59
--- /dev/null
+++ b/2-Terminologies_and_Basic_Recall.tex.bak
@@ -0,0 +1,9 @@
+\subsection{Pseudorandom Galois Generators}
+
+
+
+
+
+
+
+\subsection{Discrete Dynamics}
\ No newline at end of file

diff --git a/4-Statistic_Test.tex b/4-Statistic_Test.tex
new file mode 100644 (file)
index 0000000..ef3661e
--- /dev/null
+++ b/4-Statistic_Test.tex
@@ -0,0 +1,29 @@
+
+
+\textit{National Institute of Standrs and technologies} or \textbf{NIST} is based on hypothesis testing and includes a 15 batteries of mathematical and physical properties tests for RNG. It was developed to test the randomness of (arbitrary long) binary sequences produced by either HW/SW based cryptographic random or pseudo random bit generators with a fixed input parameters as sequence length of ($10^{3} < N < 10^{7}$) and ($ M < 55 $) of binary sequences (sample size). For each $N$ sequence produced, the NIST determine by prbability computed by $P-value$ (level of test) of all different type of non-randomness exist, where the $P-value$ must be more than a significance level $ \alpha [0.0001, 0.01] $ to classify it as a good RNG and equal to 1 to have perfect randomness. Practically, the NIST test evaluate in first the range of acceptable proportions of binary sequences passing the statistical test, then in second it evaluate the uniformity of the test sequence and computing on the basis of $x^{2}$ test to the $P-value$ obtained.
+
+\textit{TestU01} is now the most complete and difficult batterie of test of RNG. it was developed  by Pierre L'Ecuyer and was implemented in the ANSI C languages with more than 516 tests resumed in 7 big batteries ($ P-value [0.001, 0.999] $). This new Battery of tests covers divers classical tests of the other batteries with new algorithm performance and cryptographic tests. Six predefined batteries of tests are already included, where the last batterie \textbf{FIPS} is the recall for NIST tests. The first three batterie (319 tests) are for sequences of random numbers \textbf{SmallCrush}, \textbf{Crush} and \textbf{BigCrush}, and the three others ( 181 tests) are for bit sequences \textbf{Rabbit}, \textbf{Alphabit} and \textbf{Pseudo-DieHARD} designed to test a finite sequence contained in a random bits.   
+
+The other test batteries are the \textbf{Diehard}, it's include 18 test of Randomness and was developed by George Marsaglia. It was supposed to give a better way of analysis in comparison to original \textbf{FIPS} (16 tests) statistical tests. However and unlike NIST, the $P-value$ have to belong to some fixed chosen interval $[0+ \alpha, 1- \alpha ]$ with a level of signification $\alpha$ of $5 \%$ for example. Where the \textbf{ENT} battery tests was developed to sequences of bytes stored in files and reports the results of those tests as Entropy and $x^{2}$ tests.
+
+The results of this survey presented by the authors, show some different level of what it concerned testing statistic of the RNG implementation from theories to practical results. Where the tests standard evaluate and updated to covert more the characteristic of the RNG starting by the simple to a complex and hard batteries of test. We can analysis the result by two category that it seen more stable and trust tests as the NIST and TESTU01, where the other batteries are even for old tests or they are included in those  two batteries.
+
+The PRNG analysis table show that not all papers has pass the NIST test, where Chaotic PRNG are th most success implementation of FPGA using different meothods. However, all work that use FPGA opetimised resourcec as LUT or acuumulator can pass the test where others not. give a details about this section of tests, where there is some difficult to say it pass it or now specially the coverege of tests. 
+
+ 
+
+
+%|l|l|l|l|l|l|
+
+\begin{table}[h]
+\begin{tabular}{|l|l|l|l|l|l|} \toprule
+RNG  & DieHard & FIPS & NIST & TestU01 & AIS   \\ \midrule 
+        & LF[4,6] & CHO[7]  & LF[$1^{*}$,3,5] & LF[$4^{*}$,$6^{*}$,$7^{*}$,$8^{*}$]  &   \\  %LFSR
+PRNG & MT[1,3,8,7] &  & CA[5-9]  & MT[$1^{*}$,$3^{*}$,$8^{*}$,$6^{**}$]  &   \\        %MT
+        & CA[2,3,5,8] &  & CHO[1,3,4,6,7,8] &    &    \\ \midrule
+TRNG & IRO[7,8]  & PLL[4] & PLL[1,2,5] &  IRO[$7^{**}$]  &  STR[10]  \\        %PLL
+        & STR[10] & STR[10,12]  & IRO[6,8] &   &  MTS[13]  \\  %IRO
+        &  & MTS[13] & STR[10,12] &    &   \\          %STR
+        &   &  & MTS[14,15] &    &   \\ \bottomrule    %MTS
+\end{tabular}
+\end{table}

diff --git a/4-Statistic_Test.tex.bak b/4-Statistic_Test.tex.bak
new file mode 100644 (file)
index 0000000..4d0ae3e
--- /dev/null
+++ b/4-Statistic_Test.tex.bak
@@ -0,0 +1,25 @@
+
+
+ate The results survey presented by the authors show some different level of what it concerned testing statistic of the RNG implementation from theories to practical results. Where the tests standard evaluate and updated to covert more the characteristic of the RNG starting by the simple to a complex and hard batteries of test. We can analysis the result by two category that it seen more stable and trust tests as the NIST and TESTU01, where the other batteries are even for old tests or they are included in thous two batteries.
+
+\textit{NIST} is a practically the first batteries that included all mathematical and physical properties to test the RNG and content a 15 tests ....
+the analysis show that no all papers give a details about this section of tests, where there is some difficult to say it pass it or now specially the coverege of tests.
+What has been notice that almost all works try to pass to NIST batterie where just 10 works pass the tests almost of them are using chaotic methodes and few of LFSR and CA PRNG also pass the test. this analysis show us that even the PRNG methodes can be implemented on FPGA bu few of them try to pass the NIST test. However, almost all TRNG reviwed can pass the tests some TRNG cal allso pass the AIS batterie.  
+
+\textit{TestU01}
+
+\textit{AIS}
+%|l|l|l|l|l|l|
+
+\begin{table}[h]
+\begin{tabular}{|l|l|l|l|l|l|} \toprule
+RNG  & DieHard & FIPS & NIST & TestU01 & AIS   \\ \midrule 
+        & LF[4,6] & CHO[7]  & LF[$1^{*}$,3,5] & LF[$4^{*}$,$6^{*}$,$7^{*}$,$8^{*}$]  &   \\  %LFSR
+PRNG & MT[1,3,8,7] &  & CA[5-9]  & MT[$1^{*}$,$3^{*}$,$8^{*}$,$6^{**}$]  &   \\        %MT
+        & CA[2,3,5,8] &  & CHO[1,3,4,6,7,8] &    &    \\ \midrule
+TRNG & IRO[7,8]  & PLL[4] & PLL[1,2,5] &  IRO[$7^{**}$]  &  STR[10]  \\        %PLL
+        & STR[10] & STR[10,12]  & IRO[6,8] &   &  MTS[13]  \\  %IRO
+        &  & MTS[13] & STR[10,12] &    &   \\          %STR
+        &   &  & MTS[14,15] &    &   \\ \bottomrule    %MTS
+\end{tabular}
+\end{table}

diff --git a/5-Cryptography_Secure.tex b/5-Cryptography_Secure.tex
new file mode 100644 (file)
index 0000000..2d4f1bb
--- /dev/null
+++ b/5-Cryptography_Secure.tex
@@ -0,0 +1 @@
+Cryptography Secure
\ No newline at end of file

diff --git a/5-Cryptography_Secure.tex.bak b/5-Cryptography_Secure.tex.bak
new file mode 100644 (file)
index 0000000..2d4f1bb
--- /dev/null
+++ b/5-Cryptography_Secure.tex.bak
@@ -0,0 +1 @@
+Cryptography Secure
\ No newline at end of file

diff --git a/6-Hardware_Implementation.tex b/6-Hardware_Implementation.tex
new file mode 100644 (file)
index 0000000..e51e1c9
--- /dev/null
+++ b/6-Hardware_Implementation.tex
@@ -0,0 +1,8 @@
+Hardware Implementation
+
+
+\begin{center}
+%\includegraphics[height=8cm]{HW_results.png}
+\includegraphics[height=8cm]{comparaison_prng.png}
+
+\end{center}

diff --git a/6-Hardware_Implementation.tex.bak b/6-Hardware_Implementation.tex.bak
new file mode 100644 (file)
index 0000000..e51e1c9
--- /dev/null
+++ b/6-Hardware_Implementation.tex.bak
@@ -0,0 +1,8 @@
+Hardware Implementation
+
+
+\begin{center}
+%\includegraphics[height=8cm]{HW_results.png}
+\includegraphics[height=8cm]{comparaison_prng.png}
+
+\end{center}

diff --git a/7-Conclusion.tex b/7-Conclusion.tex
new file mode 100644 (file)
index 0000000..8b023b6
--- /dev/null
+++ b/7-Conclusion.tex
@@ -0,0 +1 @@
+Conclusion
\ No newline at end of file

diff --git a/8-References.tex b/8-References.tex
new file mode 100644 (file)
index 0000000..3579e79
--- /dev/null
+++ b/8-References.tex
@@ -0,0 +1,49 @@
+%\section{Reference}
+%\begin{thebibliography}{4}
+%
+%%%%% CHAOS
+%\bibitem{lncschap} [CH-1] Pawel Dabal, Ryszard Pelka. : A Chaos-Based Pseudo-Random Bit Generator Implemented in FPGA Device. In: (2011)
+%\bibitem{lncschap}[CH-2] Pawel Dabal et all.:FPGA Implementation of Chaotic Pseudo-Random Bit Generators. In: (2012)
+%\bibitem{lncschap}[CH-3] Pawel Dabal, Ryszard Pelka. :A Study on Fast Pipelined Pseudo-Random Number Generator Based on Chaotic Logistic Map. In: 2014)  
+%\bibitem{lncschap}[CH-4] Lahcene Merah et all, :Coupling Two Chaotic Systems in Order to Increasing the Security of a Communication System - Study and Real Time FPGA Implementation. In (2013) 
+%\bibitem{lncschap}[CH-5] Hariprasad  NagaDeepa. Ch. :FPGA Implementation of A Cryptography Technology Using Pseudo Random Number Generator. In: (2013)   
+%\bibitem{lncschap}[CH-6] Ziqi Zhu and Hanping Hu. :A Dynamic Nonlinear Transform Arithmetic for Improving the Properties Chaos-based PRNG*. In (2010) 
+%\bibitem{lncschap}[CH-7] Yaobin Mao et all. :Design and FPGA Implementation of a Pseudo-Random Bit  Sequence Generator Using Spatiotemporal Chaos. In: (2009)
+%\bibitem{lncschap}[CH-8] Abhinav S. Mansingka. :Fibonacci-based Hardware Post-Processing for Non-Autonomous Signum Hyperchaotic System. In: (2013)
+%%%%% TRNG
+%\bibitem{lncschap}Viktor Fischer and Milos Drutarovsky. [TR-1]  (2002)
+%\bibitem{lncschap}Martin Simka et al,.:In: (2006) [TR-2] 
+%\bibitem{lncschap}Martin Simka et al,.:In: (2010) [TR-3]  
+%\bibitem{lncschap}Martin Simka et al,.:In: (2011) [TR-4] 
+%\bibitem{lncschap}Michal Varchola et al,.:In: (2008) [TR-5] 
+%\bibitem{lncschap}Paul Kohlbrenner et Kris Gaj .:In  (2004) [TR-6] 
+%\bibitem{lncschap}Cristian Klein et al.:In: (2009) [TR-7] ,
+%\bibitem{lncschap}K.H.Tsoi et al,.:In: (2003) [TR-8] 
+%\bibitem{lncschap}Markus Dichtl et Jovan Dj.Golic,.:In: (2007) [TR-9] 
+%\bibitem{lncschap}Abdelkarim Cherkaoui et al,.:In: (2013) [TR-10]
+%\bibitem{lncschap}Abdelkarim Cherkaoui et al,.:In: (2011) [TR-11]
+%\bibitem{lncschap}Abdelkarim Cherkaoui et al,.:In: (2013) [TR-12] 
+%\bibitem{lncschap}Ihor Vasyltsov et al.:In: (2008) [TR-13] 
+%\bibitem{lncschap}Mehrdad Majzoobi et al.:In: (2011) [TR-14] 
+%\bibitem{lncschap}Donggeon Lee,.In: (2014) [TR-15]
+%%%%% CA
+%\bibitem{lncschap}Tkacik.:In: (2003) [CA-1] 
+%\bibitem{lncschap}Juan C.Cerda and al.:in: (2012) [CA-2] 
+%\bibitem{lncschap}Juan C.Cerda and al.:.In: (2012) [CA-3] 
+%\bibitem{lncschap}Guan et al.:.In: (2004) [CA-4] 
+%\bibitem{lncschap}Leonidas Kotoulas et al,:.In: (2006) [CA-5] 
+%\bibitem{lncschap}Petre Anghelescu et al,:.In: (2007) [CA-6] 
+%\bibitem{lncschap}Ioana Dogaru and Radu Dogaru,:.In: (2010) [CA-7] 
+%\bibitem{lncschap}Lakshman Raut and David H. K. Hoe,:.In: (2013) [CA-8] 
+%\bibitem{lncschap}Dogaru Ioana and Dogaru Radu. :. In: (2014) [CA-9] 
+%%%%% MT  
+%\bibitem{lncschap}Shengfei Wu et al .In: (2013) [MT-1] 
+%\bibitem{lncschap}Pedro Echeverría et al.In: (2013) [MT-2] 
+%\bibitem{lncschap}Yuan Li et al.in: (2013) [MT-3] 
+%\bibitem{lncschap}Xiang Tian and Khaled Benkrid.In: (2009) [MT-4] 
+%\bibitem{lncschap}Shrutisagar Chandrasekaran and Abbes Amira.in: (2008) [MT-5] 
+%%%% BBS
+%\bibitem{lncschap}Khushboo Sewak et all. In: (2012) [BBS-1] 
+%\bibitem{lncschap}Pedro Peris-Lopez and Enrique San Millan. In: (2010) [BBS-2]  
+%\end{thebibliography}
+

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diff --git a/Chaotic/Chaotic.tex b/Chaotic/Chaotic.tex
new file mode 100644 (file)
index 0000000..7bc2369
--- /dev/null
+++ b/Chaotic/Chaotic.tex
@@ -0,0 +1,14 @@
+\textit{Chaotic Systems} are interests theory to generate random number. Here, the use of this theory has been increase  due to the sensitivity to initial conditions, unpredictability and ability to reciprocal synchronization. However, the finite precision of arithmetic and quantization generate a non-ideal and periodic random number. We can found chaotic PRNG proposed by using a differential equations in a continuous time domain. In other side, the most chaotic PRNG are implemented based on the recurrent sequences using chaotic maps in a discrete time domain $x^{0} \in R$ where $x^{n+1} = \ f(x^{n})$. Hence, from the cryptographer’s point of view, the most essential drawbacks of the chaotic systems are: weak resistance to recovery of parameters, relatively low digital precision comparing to the analog generators, periodicity problems, non ideal probability distributions, higher level of correlation and suffer from serious dynamical degradation due to quantization error and finite representation of system states, including loss of periodicity and shorter pseudo-orbits.
+  
+%%%%%%%%%%%%%%
+\textit{Chaotic Map Generators} describe here are a generators based on a polynomial mapping that is equivalent to recurrence matrix degree 2. Here, the chaotic map generators uses a non-linear dynamic transformation. For this survey we found a logistic map based on this equation of  $x_{t+1} = rx_{t} \ (1− x_{t})$, where r is what called the \emph{biotic potential} $(3,57 \ < r \ < \ 4,0)$. Also, there is H$\acute{e}$non map which is also a discrete-time dynamical system according to the equations of $x_{t+1} = y_{t} + (1 - \ a x_t^2)$ and $y_{t+1}= \ bx_{t+1}$, where "a" and "b" are called \emph{canonical parameters}. Following that, a chaotic map PRNG is implemented on FPGA and presented in in \cite{6868789}. Here, the authors start from earlier study done of some FPGA implementation of thous chaotic map PRNG  and presented in \cite{dabal2011chaos} and \cite{dabal2012fpga}. The authors implement two new optimization version of PRNG based on chaotic logistic map using the XSG Xilinx tool for more HW optimization. The first is a log-LUT based on LUT blocs and a high-speed carry line of the FPGA. Then, the second is Log-DSP that use directly DSP component of FPGA. However, they add delays to ensure parallel sequence generation and a complex initial sequence used for a better NIST test results.
+
+Another work presented in \cite{merahcoupling}, where the authors demonstrate a mixed version using tow chaotic map to increase the security level against plaintex attacks. They show by coupling a chaotic encryption system (ENS) based on 2-D H$\acute{e}$non map and control system (CRS) based on 1-D logistic map. The ENS is used to generate the chaotic sequence, and the CSR to control the multiplexer and choose the outputs bits of ENS according to the value generated by the logistic map. Here, the final outputs bits are the XOR of the MSB of 32-bit CSR with his neighbor LSB following some rules. In the same approach and in \cite{hariprasad2013fpga}, the authors uses a chaotic logistic map to generate output. They increase the period by a reseeding module, where the output sequence will be XORed with a vector mixing module based on auxiliary linear generator. Another solution proposed in \cite{5554284}, where the authors presents a chaos system based on three dynamic nonlinear transform arithmetic DNT process. It's a parallel structure that transform an input 3 times and improve a high cycle-length and distribution output sequence. However, for each DNT module it initiates his 2x256 code book and obtain the binary input sequence. Then, transformed and look up it using the inputs as parameters $x_{t+1}= \ x_{t} \ (C(w)\ R(q))$. 
+
+%%%%%%%%%%
+\textit{Spationtemporal Chaos Geneators} are a temporally chaotic system as for a chaotic map. It's also a spatially and there is many mathematical models can be use to represent this type of generator. In \cite{mao2006design} and to achieve a high operation speed, a bi-directional coupled chaotic map lattices (CML) has been used as a models represented by $x_{t+1}(i) = (1- \epsilon) f(x_{t}(i) \ + \ \frac{\epsilon}{2} (f(x_{t}(i-1) \ + \ f(x_{n}(i+1)$, where n and i are respectively temporal and spatial indexes of discrete lattices. $\epsilon$ is the couple coefficient, L is the number of the total spatial lattices and f(x) is a logistic map. They first deal with continuous domain with digitized all operand to be suited for HW implementation by using and modifying the CML to a finite integer set. Then second and to avoid finite precision chaotic map problem, they compute only the insignificant bit is subject to be an output.  
+ 
+%%%%%%%%%%%
+\textit{Fibonacci post-processing Generators} presented in \cite{mansingka2013fibonacci}. It's uses a non-autonomous 4D hyperchaotic-based PRNG post processing based on Fibonacci series and driven by a 256-bit LFSR. The post processing is based on two loop feedback, where in first loop, they use a fixed 1-bit static rotation to suppress the short-term predictability. Then, the second loop is based on a variable rotation controlled using Fibonacci series of K-bit to enhances differential sensitivity if there is a change at any bit when the other bit propagate during n-cycle.
+
+\textit{Chaotic Iteration} or CI has been proposed by the authors in \cite{fang2014fpga} \cite{bahi2013fpga} to implement a new post processing with the same chaotic theory characteristic defined by Devaney, Li-Yorke, to give better statistic test and increase cryptography. However, they claim their chaotic iterations generate a set of vectors (Boolean) and they are defined by an initial state $x^{0}$, an iteration function f, and a strategy S said to be a \emph{chaotic strategy}. Where, at the n-th iteration, only the $S^{n}-th$ cell is \emph{iterated}. Note that in a more general formulation, $S^{n}$ can be a subset of components and $f((x^{n-1})_{S^{n}})$ can be replaced by $f((x^{n})_{S^{n}})$ , where $k < n$, describing for example delays transmission. The main requirement is to prevent the machine from working in silos, by taking at each iterate a new input from the outside world. By doing so, the finite state machine does not necessarily enter into a loop: a same state can be visited twice, but with two completely different future evolution, depending on the inputs the machine receive. Over four version proposed, one of them has been implemented on FPGA using Chaotic iteration as post processing which use a BBS and XORshift PRNG as generator. The internal state x is a vector of 16-bits, whereas two 64-bit XORshift generators are provided as entropy sources and then the outputs are spread into four 32-bit integers. Then for each integer, there are 16 (2-bits) components that can be found and every 12 of these components are used to update the states. Lastly, the 4 least significant bits (LSBs) of the output BBS generator decide if the state must be updated with the considered 13-bits block or not.
\ No newline at end of file

diff --git a/Chaotic/Chaotic.tex.bak b/Chaotic/Chaotic.tex.bak
new file mode 100644 (file)
index 0000000..7bc2369
--- /dev/null
+++ b/Chaotic/Chaotic.tex.bak
@@ -0,0 +1,14 @@
+\textit{Chaotic Systems} are interests theory to generate random number. Here, the use of this theory has been increase  due to the sensitivity to initial conditions, unpredictability and ability to reciprocal synchronization. However, the finite precision of arithmetic and quantization generate a non-ideal and periodic random number. We can found chaotic PRNG proposed by using a differential equations in a continuous time domain. In other side, the most chaotic PRNG are implemented based on the recurrent sequences using chaotic maps in a discrete time domain $x^{0} \in R$ where $x^{n+1} = \ f(x^{n})$. Hence, from the cryptographer’s point of view, the most essential drawbacks of the chaotic systems are: weak resistance to recovery of parameters, relatively low digital precision comparing to the analog generators, periodicity problems, non ideal probability distributions, higher level of correlation and suffer from serious dynamical degradation due to quantization error and finite representation of system states, including loss of periodicity and shorter pseudo-orbits.
+  
+%%%%%%%%%%%%%%
+\textit{Chaotic Map Generators} describe here are a generators based on a polynomial mapping that is equivalent to recurrence matrix degree 2. Here, the chaotic map generators uses a non-linear dynamic transformation. For this survey we found a logistic map based on this equation of  $x_{t+1} = rx_{t} \ (1− x_{t})$, where r is what called the \emph{biotic potential} $(3,57 \ < r \ < \ 4,0)$. Also, there is H$\acute{e}$non map which is also a discrete-time dynamical system according to the equations of $x_{t+1} = y_{t} + (1 - \ a x_t^2)$ and $y_{t+1}= \ bx_{t+1}$, where "a" and "b" are called \emph{canonical parameters}. Following that, a chaotic map PRNG is implemented on FPGA and presented in in \cite{6868789}. Here, the authors start from earlier study done of some FPGA implementation of thous chaotic map PRNG  and presented in \cite{dabal2011chaos} and \cite{dabal2012fpga}. The authors implement two new optimization version of PRNG based on chaotic logistic map using the XSG Xilinx tool for more HW optimization. The first is a log-LUT based on LUT blocs and a high-speed carry line of the FPGA. Then, the second is Log-DSP that use directly DSP component of FPGA. However, they add delays to ensure parallel sequence generation and a complex initial sequence used for a better NIST test results.
+
+Another work presented in \cite{merahcoupling}, where the authors demonstrate a mixed version using tow chaotic map to increase the security level against plaintex attacks. They show by coupling a chaotic encryption system (ENS) based on 2-D H$\acute{e}$non map and control system (CRS) based on 1-D logistic map. The ENS is used to generate the chaotic sequence, and the CSR to control the multiplexer and choose the outputs bits of ENS according to the value generated by the logistic map. Here, the final outputs bits are the XOR of the MSB of 32-bit CSR with his neighbor LSB following some rules. In the same approach and in \cite{hariprasad2013fpga}, the authors uses a chaotic logistic map to generate output. They increase the period by a reseeding module, where the output sequence will be XORed with a vector mixing module based on auxiliary linear generator. Another solution proposed in \cite{5554284}, where the authors presents a chaos system based on three dynamic nonlinear transform arithmetic DNT process. It's a parallel structure that transform an input 3 times and improve a high cycle-length and distribution output sequence. However, for each DNT module it initiates his 2x256 code book and obtain the binary input sequence. Then, transformed and look up it using the inputs as parameters $x_{t+1}= \ x_{t} \ (C(w)\ R(q))$. 
+
+%%%%%%%%%%
+\textit{Spationtemporal Chaos Geneators} are a temporally chaotic system as for a chaotic map. It's also a spatially and there is many mathematical models can be use to represent this type of generator. In \cite{mao2006design} and to achieve a high operation speed, a bi-directional coupled chaotic map lattices (CML) has been used as a models represented by $x_{t+1}(i) = (1- \epsilon) f(x_{t}(i) \ + \ \frac{\epsilon}{2} (f(x_{t}(i-1) \ + \ f(x_{n}(i+1)$, where n and i are respectively temporal and spatial indexes of discrete lattices. $\epsilon$ is the couple coefficient, L is the number of the total spatial lattices and f(x) is a logistic map. They first deal with continuous domain with digitized all operand to be suited for HW implementation by using and modifying the CML to a finite integer set. Then second and to avoid finite precision chaotic map problem, they compute only the insignificant bit is subject to be an output.  
+ 
+%%%%%%%%%%%
+\textit{Fibonacci post-processing Generators} presented in \cite{mansingka2013fibonacci}. It's uses a non-autonomous 4D hyperchaotic-based PRNG post processing based on Fibonacci series and driven by a 256-bit LFSR. The post processing is based on two loop feedback, where in first loop, they use a fixed 1-bit static rotation to suppress the short-term predictability. Then, the second loop is based on a variable rotation controlled using Fibonacci series of K-bit to enhances differential sensitivity if there is a change at any bit when the other bit propagate during n-cycle.
+
+\textit{Chaotic Iteration} or CI has been proposed by the authors in \cite{fang2014fpga} \cite{bahi2013fpga} to implement a new post processing with the same chaotic theory characteristic defined by Devaney, Li-Yorke, to give better statistic test and increase cryptography. However, they claim their chaotic iterations generate a set of vectors (Boolean) and they are defined by an initial state $x^{0}$, an iteration function f, and a strategy S said to be a \emph{chaotic strategy}. Where, at the n-th iteration, only the $S^{n}-th$ cell is \emph{iterated}. Note that in a more general formulation, $S^{n}$ can be a subset of components and $f((x^{n-1})_{S^{n}})$ can be replaced by $f((x^{n})_{S^{n}})$ , where $k < n$, describing for example delays transmission. The main requirement is to prevent the machine from working in silos, by taking at each iterate a new input from the outside world. By doing so, the finite state machine does not necessarily enter into a loop: a same state can be visited twice, but with two completely different future evolution, depending on the inputs the machine receive. Over four version proposed, one of them has been implemented on FPGA using Chaotic iteration as post processing which use a BBS and XORshift PRNG as generator. The internal state x is a vector of 16-bits, whereas two 64-bit XORshift generators are provided as entropy sources and then the outputs are spread into four 32-bit integers. Then for each integer, there are 16 (2-bits) components that can be found and every 12 of these components are used to update the states. Lastly, the 4 least significant bits (LSBs) of the output BBS generator decide if the state must be updated with the considered 13-bits block or not.
\ No newline at end of file

diff --git a/HW_results.jpg b/HW_results.jpg
new file mode 100644 (file)
index 0000000..19f0b49
Binary files /dev/null and b/HW_results.jpg differ

diff --git a/HW_results.png b/HW_results.png
new file mode 100644 (file)
index 0000000..159d21b
Binary files /dev/null and b/HW_results.png differ

diff --git a/Others/Hybride.tex b/Others/Hybride.tex
new file mode 100644 (file)
index 0000000..e68e6f5
--- /dev/null
+++ b/Others/Hybride.tex
@@ -0,0 +1 @@
+Hybride
\ No newline at end of file

diff --git a/Others/Parallel.tex b/Others/Parallel.tex
new file mode 100644 (file)
index 0000000..2ac7486
--- /dev/null
+++ b/Others/Parallel.tex
@@ -0,0 +1 @@
+Parallel
\ No newline at end of file

diff --git a/Others/TRNG.tex b/Others/TRNG.tex
new file mode 100644 (file)
index 0000000..daaae1d
--- /dev/null
+++ b/Others/TRNG.tex
@@ -0,0 +1,25 @@
+Passing now to the second section of the RNG theory and concept part.
+It contains analyses that been found for the fpga implementations of True RNG.
+ As been defined earlier, TRNG are completely physical generator that use many hardware component and polynomial been produced, where FPGA is one HW support that this survey illustrate all works around it as an accelerator and for security purpose. However, man techniques and HW optimization has been demonstrated are show in this survey, where we can found the use the FPGA component optimized or mixing external component with FPGA or post processing FPGA to generate RNG.
+
+
+\textit{Phase-Locked Loop} or PLL circuit in general is derived by an external clock generator source like quartz or RC circuit, and which can set static or dynamic configuration. A PLL is completely depended of the physical environment like power, temperature or others that cause a very high secure RNG and reduce attacks. the TRNG generator based PLL will use a jitter extractor to generate randomness, wich is a short-term variation of the clock propagation. The most common jitter measurements used by FPGA vendors are period jitter and cycle-to-cycle jitter. The period jitter is defined as the difference between the n-th clock period and the mean clock period. However and in FPGA, a PLL is is based on the size of the clock jitter, the frequency divided by the VCO and the his loop filter bandwidth. Generally, we can find an analog PLL TRNG that extract the "intrinsic jitter" causes by the nois of his VCO for example or a digital PLL generator that use a synchronous/asynchronous Flip-Flop as an extractor.
+we can find an old implementation in \cite{fischer2003true}, where the authors propose an analysis about extracting randomness from the jitter of an PLL implemented on Altera FPLD. Their studies is based on detecting the jitter by the sampling the reference clock signal ($F_{CLK}$) using a correlated signal synthesized in the PLL ($F_{CLG}$) where $F_{CLG}= \ F_{CLK}(K_{M}/K_{D})$, and the maximum distance between the two clock (CLK,CLG) must be minimum $MAX(\Delta T_{min}) < \sigma_{jit}$. However, they confirm in ideal environment condition and without a jitter the sampled output or random is deterministic under a period of $T{Q}= \ {K_{D}T_{CLK}} \ = \ {K_{m}T_{CLG}}$. Then, they conclude in a real condition $\sigma_{jit} \ \neq \ 0 $ the randomness is not deterministic and depending on jitter distribution where the $MAX(\Delta T_{min})= \ T_{CLK}*GCD(2K_{M},K_{D})/4K_{M}$.  
+
+Where, in \cite{vsimka2005embedded} the authors demonstrate by taking \cite{fischer2003true} as model and  combined more than one PLL in parallel or series to increase the significantly sensitivity on the jitter $S= \ F_{CLK}MAX(\Delta T_{min})$ and the output-bit of the generator compared to the use of one PLL. The configuration of multiple PLL are based on input/output length, VCO  frequency and MUL/DIV factors ($K_{M}/K_{D}$). In \cite{simka2011testing} the authors test the impact of the the change on operation condition environment as temperature of an PLL and illustrate that with low bandwidth of PFF cause a higher number of the critical samples, decreases the output jitter and thus increase the tracking jitter. As an PLL application system, the work proposed in \cite{varchola2008hardware} they explore an embedded system with TRNG and based on PLL to extract randomness from the jitter and propose two version where the slower of 40kbps can pass the statistic tests.
+
+%%%%%%
+\textit{ring oxialltor} 
+In \cite{kohlbrenner2004embedded} and in \cite{klein2009design}, the authors propose a TRNG based on two ring oscillators clocked by different clock generated by an internal PLL on FPGA. The authors also extract the jitter of the 2 RO implement in only one CLB slice using a simpler. Where, in \cite{dichtl2007high}, propose a new approach that can replace RO based on inverters using XOR combination between Fibonacci (FIRO) and Galois ring oscillators (GARO). the main key consists of a number of inverters and connected in a cascade together with XOR logic gates forming a feedback in an analogous way where the feedback polynomial form is $f(x) = \ (1+x)h(x)$ where $h(1)=1$ and the result show with the new method can achieve a stable state less than classical RO. 
+
+In \cite{tsoi2003compact}, the authors propose a Hybrid implementation on FPGA of TRNG based on RO and PRNG based on BBS generators and with high operation frequency of 400Mhz. However, they generate a low off-chip frequency based on resistor and capacitors RC and it was notice by implementing BBS using ALU structure for squaring and modulo operation the period will be [$(4.5*n^{2} \ + n)$].
+
+%%%%%
+\textit{Self-timed ring STR} 
+In \cite{cherkaoui2013self} and \cite{cherkaoui2012comparison}, the authors propose another alternative more based on Self-Timed Ring (STR) robust to environment (power, temperature) than RO based inverter. The SRT approach consist of a ripple of L stage of FIFO as a ring $(C_{i})_{1}{_{\leq}}{_{i}}{_{\leq}}{_{L}}$ with a phase of $\Delta \varphi = T/2L$, and extract jitter of each oscillator stage using two asynchronous handshaking protocol as even that can be "taken" or "bubble". However, the outputs randomness bits event $(S_{i})_{1}{_{\leq}}{_{i}}{_{\leq}}{_{L}}$ will be samples using a flip-flop by the main clock and the result will be combined with a XOR operation $\psi = \ s_{1} \ \oplus \ s_{2} \ \oplus \ ... \ \oplus \ s_{L}$. Secondly, the authors suggest that to avoid the limitation frequency of the STR by the long period delay, the maximum frequency is achieve when the propagation delay (forward and reverse static delay) is near to ring accuracy (N° of token and bubble) and [$N_{T}/N_{B} \ \cong \  D_{ff}/_D{rr} \ \simeq \ 1$].
+
+%%%%
+\textit{Metastability} 
+In \cite{vasyltsov2008fast}, the authors present a study of using \emph{Metastability} phenomena as a entropy source generated by 5 IRO stage. They claim that by implementing the inverter as loop ring and using a Control Clock Generator to switch the connectivity between the IRO stages flowing two mode (MS, Generation), the output voltage converges to metastability level and stays longer than using bi-stable circuit (Flip-Flop) causing a high entropy. However, the authors wan to estimate the robustness of the system after applying the sampling process in a different process and environment variation modes using CMOS process and FPGA, and they find that it must added another stage for a higher quality output as decreasing the operation rate, applying a Von-Neumann post-processing and influences the loads (RC parasitic) of the last inverter, when it was noted that just post-processing is used in FPGA.
+
+Another metastability uses as a RNG founded in \cite{majzoobi2011fpga}, where the authors propose a TRNG using the metastability of the flip-flop when there is a violation in setup/hold time. The system is based on closed-loop feedback mechanism for auto-adjustment on delay $\Delta$ controlled by the Programmable delay lines (PDLs) stage based on LUT to avoid violation and maintain the metastability. However, the system use at-speed monitor to keep tracking the output bit probability and proportional-integral (PI) controller to decides to add/subtract the delay difference ($\Delta \rightarrow 0$). The probability of the output is $Prob{Out = 1} = Q(\Delta/sigma)$ where $Q(x)= {1/\surd{4\Pi}}{\int{_{x}{^{\infty}}} expr{(-u^{2}/2)du}}$. Where, the updated/corrected delay difference is the difference between the bias/skew caused by the routing asymmetric with the delay induce by the environment condition and the correct delay injected by the PDL ($\Delta=\Delta_{p}+\Delta_{b}-\Delta_{f}$). A revision version proposed by \cite{lee2014metastability}, to analyze the probability and maintain metastability state for a long period to avoid the deterministic state. however they use an extract hardware resource as memory for storing the outputs and use Hamming weight to calculate the probability bits histories.
\ No newline at end of file

diff --git a/Others/TRNG.tex.bak b/Others/TRNG.tex.bak
new file mode 100644 (file)
index 0000000..daaae1d
--- /dev/null
+++ b/Others/TRNG.tex.bak
@@ -0,0 +1,25 @@
+Passing now to the second section of the RNG theory and concept part.
+It contains analyses that been found for the fpga implementations of True RNG.
+ As been defined earlier, TRNG are completely physical generator that use many hardware component and polynomial been produced, where FPGA is one HW support that this survey illustrate all works around it as an accelerator and for security purpose. However, man techniques and HW optimization has been demonstrated are show in this survey, where we can found the use the FPGA component optimized or mixing external component with FPGA or post processing FPGA to generate RNG.
+
+
+\textit{Phase-Locked Loop} or PLL circuit in general is derived by an external clock generator source like quartz or RC circuit, and which can set static or dynamic configuration. A PLL is completely depended of the physical environment like power, temperature or others that cause a very high secure RNG and reduce attacks. the TRNG generator based PLL will use a jitter extractor to generate randomness, wich is a short-term variation of the clock propagation. The most common jitter measurements used by FPGA vendors are period jitter and cycle-to-cycle jitter. The period jitter is defined as the difference between the n-th clock period and the mean clock period. However and in FPGA, a PLL is is based on the size of the clock jitter, the frequency divided by the VCO and the his loop filter bandwidth. Generally, we can find an analog PLL TRNG that extract the "intrinsic jitter" causes by the nois of his VCO for example or a digital PLL generator that use a synchronous/asynchronous Flip-Flop as an extractor.
+we can find an old implementation in \cite{fischer2003true}, where the authors propose an analysis about extracting randomness from the jitter of an PLL implemented on Altera FPLD. Their studies is based on detecting the jitter by the sampling the reference clock signal ($F_{CLK}$) using a correlated signal synthesized in the PLL ($F_{CLG}$) where $F_{CLG}= \ F_{CLK}(K_{M}/K_{D})$, and the maximum distance between the two clock (CLK,CLG) must be minimum $MAX(\Delta T_{min}) < \sigma_{jit}$. However, they confirm in ideal environment condition and without a jitter the sampled output or random is deterministic under a period of $T{Q}= \ {K_{D}T_{CLK}} \ = \ {K_{m}T_{CLG}}$. Then, they conclude in a real condition $\sigma_{jit} \ \neq \ 0 $ the randomness is not deterministic and depending on jitter distribution where the $MAX(\Delta T_{min})= \ T_{CLK}*GCD(2K_{M},K_{D})/4K_{M}$.  
+
+Where, in \cite{vsimka2005embedded} the authors demonstrate by taking \cite{fischer2003true} as model and  combined more than one PLL in parallel or series to increase the significantly sensitivity on the jitter $S= \ F_{CLK}MAX(\Delta T_{min})$ and the output-bit of the generator compared to the use of one PLL. The configuration of multiple PLL are based on input/output length, VCO  frequency and MUL/DIV factors ($K_{M}/K_{D}$). In \cite{simka2011testing} the authors test the impact of the the change on operation condition environment as temperature of an PLL and illustrate that with low bandwidth of PFF cause a higher number of the critical samples, decreases the output jitter and thus increase the tracking jitter. As an PLL application system, the work proposed in \cite{varchola2008hardware} they explore an embedded system with TRNG and based on PLL to extract randomness from the jitter and propose two version where the slower of 40kbps can pass the statistic tests.
+
+%%%%%%
+\textit{ring oxialltor} 
+In \cite{kohlbrenner2004embedded} and in \cite{klein2009design}, the authors propose a TRNG based on two ring oscillators clocked by different clock generated by an internal PLL on FPGA. The authors also extract the jitter of the 2 RO implement in only one CLB slice using a simpler. Where, in \cite{dichtl2007high}, propose a new approach that can replace RO based on inverters using XOR combination between Fibonacci (FIRO) and Galois ring oscillators (GARO). the main key consists of a number of inverters and connected in a cascade together with XOR logic gates forming a feedback in an analogous way where the feedback polynomial form is $f(x) = \ (1+x)h(x)$ where $h(1)=1$ and the result show with the new method can achieve a stable state less than classical RO. 
+
+In \cite{tsoi2003compact}, the authors propose a Hybrid implementation on FPGA of TRNG based on RO and PRNG based on BBS generators and with high operation frequency of 400Mhz. However, they generate a low off-chip frequency based on resistor and capacitors RC and it was notice by implementing BBS using ALU structure for squaring and modulo operation the period will be [$(4.5*n^{2} \ + n)$].
+
+%%%%%
+\textit{Self-timed ring STR} 
+In \cite{cherkaoui2013self} and \cite{cherkaoui2012comparison}, the authors propose another alternative more based on Self-Timed Ring (STR) robust to environment (power, temperature) than RO based inverter. The SRT approach consist of a ripple of L stage of FIFO as a ring $(C_{i})_{1}{_{\leq}}{_{i}}{_{\leq}}{_{L}}$ with a phase of $\Delta \varphi = T/2L$, and extract jitter of each oscillator stage using two asynchronous handshaking protocol as even that can be "taken" or "bubble". However, the outputs randomness bits event $(S_{i})_{1}{_{\leq}}{_{i}}{_{\leq}}{_{L}}$ will be samples using a flip-flop by the main clock and the result will be combined with a XOR operation $\psi = \ s_{1} \ \oplus \ s_{2} \ \oplus \ ... \ \oplus \ s_{L}$. Secondly, the authors suggest that to avoid the limitation frequency of the STR by the long period delay, the maximum frequency is achieve when the propagation delay (forward and reverse static delay) is near to ring accuracy (N° of token and bubble) and [$N_{T}/N_{B} \ \cong \  D_{ff}/_D{rr} \ \simeq \ 1$].
+
+%%%%
+\textit{Metastability} 
+In \cite{vasyltsov2008fast}, the authors present a study of using \emph{Metastability} phenomena as a entropy source generated by 5 IRO stage. They claim that by implementing the inverter as loop ring and using a Control Clock Generator to switch the connectivity between the IRO stages flowing two mode (MS, Generation), the output voltage converges to metastability level and stays longer than using bi-stable circuit (Flip-Flop) causing a high entropy. However, the authors wan to estimate the robustness of the system after applying the sampling process in a different process and environment variation modes using CMOS process and FPGA, and they find that it must added another stage for a higher quality output as decreasing the operation rate, applying a Von-Neumann post-processing and influences the loads (RC parasitic) of the last inverter, when it was noted that just post-processing is used in FPGA.
+
+Another metastability uses as a RNG founded in \cite{majzoobi2011fpga}, where the authors propose a TRNG using the metastability of the flip-flop when there is a violation in setup/hold time. The system is based on closed-loop feedback mechanism for auto-adjustment on delay $\Delta$ controlled by the Programmable delay lines (PDLs) stage based on LUT to avoid violation and maintain the metastability. However, the system use at-speed monitor to keep tracking the output bit probability and proportional-integral (PI) controller to decides to add/subtract the delay difference ($\Delta \rightarrow 0$). The probability of the output is $Prob{Out = 1} = Q(\Delta/sigma)$ where $Q(x)= {1/\surd{4\Pi}}{\int{_{x}{^{\infty}}} expr{(-u^{2}/2)du}}$. Where, the updated/corrected delay difference is the difference between the bias/skew caused by the routing asymmetric with the delay induce by the environment condition and the correct delay injected by the PDL ($\Delta=\Delta_{p}+\Delta_{b}-\Delta_{f}$). A revision version proposed by \cite{lee2014metastability}, to analyze the probability and maintain metastability state for a long period to avoid the deterministic state. however they use an extract hardware resource as memory for storing the outputs and use Hamming weight to calculate the probability bits histories.
\ No newline at end of file

diff --git a/Others/build/TRNG.log b/Others/build/TRNG.log
new file mode 100644 (file)
index 0000000..5fa48a6
--- /dev/null
+++ b/Others/build/TRNG.log
@@ -0,0 +1,5220 @@
+This is pdfTeX, Version 3.1415926-2.5-1.40.14 (MiKTeX 2.9) (preloaded format=pdflatex 2014.11.2)  17 NOV 2014 15:04\r
+entering extended mode\r
+**TRNG.tex\r
+(D:\Projet_CIPNRG\CIPNRG_Phd\2_My_Pepers\IFIP_SEC_2015\Others\TRNG.tex\r
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+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.1 \textit{Phase-Locked Loop}\r
+                               In 2002 [TR-1] Viktor Fischer and Milos Druta...\r
+\r
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+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.3 I\r
+     n 2006 [TR-2] Martin Simka et al, The authors demonstrate by taking 200...\r
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+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no j in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no / in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no V in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no M in font nullfont!\r
+Missing character: There is no U in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no / in font nullfont!\r
+Missing character: There is no D in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no V in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no 4 in font nullfont!\r
+Missing character: There is no ] in font nullfont!\r
+Missing character: There is no M in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no j in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no j in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 8 in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no 5 in font nullfont!\r
+Missing character: There is no ] in font nullfont!\r
+Missing character: There is no M in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no V in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
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+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.6 \textit{Inverter ring oxialltor}\r
+                                     In 2004 [TR-6] Paul Kohlbrenner et Kris...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
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+\r
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+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.8 I\r
+     n 2003 [TR-8] K.H.Tsoi et al, propose a Hybrid implementation on FPGA o...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
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+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no H in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no B in font nullfont!\r
+Missing character: There is no B in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no 4 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no M in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no H in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no B in font nullfont!\r
+Missing character: There is no B in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no U in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 8--9\r
+[]\r
+ []\r
+\r
+\r
+Overfull \hbox (21.66673pt too wide) in paragraph at lines 8--9\r
+$\OT1/cmr/m/n/10 (4\OML/cmm/m/it/10 :\OT1/cmr/m/n/10 5 \OMS/cmsy/m/n/10 \ 3$\r
+ []\r
+\r
+\r
+Overfull \hbox (18.26628pt too wide) in paragraph at lines 8--9\r
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+ []\r
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+\r
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+$\OML/cmm/m/it/10 n\OT1/cmr/m/n/10 )$ \r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.10 \textit{FIGARO ring oxialltor}\r
+                                    IN 2007 [TR-9] Markus Dichtl et Jovan Dj...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 7 in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no 9 in font nullfont!\r
+Missing character: There is no ] in font nullfont!\r
+Missing character: There is no M in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no D in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no J in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no D in font nullfont!\r
+Missing character: There is no j in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no E in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
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+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no F in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no G in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no r in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no o in font nullfont!\r
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+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.13 \textit{Self-timed ring STR}\r
+                                  In [2013] [2011] [2013] [TR-10,11,12]Abdel...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
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+Missing character: There is no 1 in font nullfont!\r
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+Missing character: There is no [ in font nullfont!\r
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+Missing character: There is no 1 in font nullfont!\r
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+Missing character: There is no 1 in font nullfont!\r
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+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
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+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no ) in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no j in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no H in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
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+! LaTeX Error: Missing \begin{document}.\r
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+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.16 \textit{Metastability}\r
+                            In [2008] [TR-13] Ihor Vasyltsov et al, the auth...\r
+\r
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+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no o in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
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+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no y in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no f in font nullfont!\r
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+Missing character: There is no p in font nullfont!\r
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+Missing character: There is no y in font nullfont!\r
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+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no f in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no g in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
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+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no h in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no h in font nullfont!\r
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+Missing character: There is no G in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (75.9885pt too wide) in paragraph at lines 16--17\r
+[]\OT1/cmr/m/it/10 Metastability\r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.18 I\r
+      n 2011 [TR-14] Mehrdad Majzoobi et al, The authors propose a TRNG usin...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
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+Missing character: There is no 2 in font nullfont!\r
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+Missing character: There is no o in font nullfont!\r
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+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no j in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no D in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no U in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no / in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no / in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no / in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
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+)\r
+! Emergency stop.\r
+<*> TRNG.tex\r
+            \r
+*** (job aborted, no legal \end found)\r
+\r
+ \r
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+!  ==> Fatal error occurred, no output PDF file produced!\r

diff --git a/PRNG/BBS.tex b/PRNG/BBS.tex
new file mode 100644 (file)
index 0000000..51f7e7b
--- /dev/null
+++ b/PRNG/BBS.tex
@@ -0,0 +1 @@
+\textit{Blum Blum Shub Generators} or BBS are a known efficient cryptography secure PRNG proposed [1986]. It has been proposed to solve the quadratic residue problem [1999] represented by the Rabin function of $x_{t} = \ x{_{t-1}}^{2} \ mod \ n$. It's based on the product "n" of two big primes number called "Blum prime" and are congruent to (3 modulo 4). The output bit "j" from $x_{t}$ of this generator is in first extracted by the least significant bits implemented in this equation $j= c * log \ (log(n))$, where c is a constant. Then it will be added to the final generated binary sequence $y_{t}= \ x{_{t}}^{2} \ mod \ j$. However, just a few work using BBS are implemented in FPGA. As for this paper in \cite{sewak2012fpga}, the authors present an area/speed comparison without any optimization between a 4-bits LFSR and a 16-bits BBS PRNG. Another work is founded in \cite{peris2010cryptographically} for RFID tag applications. Here, the authors present some FPGA implementation of BBS of 160 to 512 bits using different multiplication algorithms to satisfy the main BBS equation $(A*B mod M)$. The algorithms used for comparison are \emph{classical combinational multiplier}, \emph{classical shift adder and multiplication}, \emph{Karatsuba's multiplication} and  \emph{Montgomery's direct modular multiplication}. However, the authors compare just the area results and they claim the uses of the "Montgomery" iterative approach is the low cost area in FPGA.
\ No newline at end of file

diff --git a/PRNG/BBS.tex.bak b/PRNG/BBS.tex.bak
new file mode 100644 (file)
index 0000000..51f7e7b
--- /dev/null
+++ b/PRNG/BBS.tex.bak
@@ -0,0 +1 @@
+\textit{Blum Blum Shub Generators} or BBS are a known efficient cryptography secure PRNG proposed [1986]. It has been proposed to solve the quadratic residue problem [1999] represented by the Rabin function of $x_{t} = \ x{_{t-1}}^{2} \ mod \ n$. It's based on the product "n" of two big primes number called "Blum prime" and are congruent to (3 modulo 4). The output bit "j" from $x_{t}$ of this generator is in first extracted by the least significant bits implemented in this equation $j= c * log \ (log(n))$, where c is a constant. Then it will be added to the final generated binary sequence $y_{t}= \ x{_{t}}^{2} \ mod \ j$. However, just a few work using BBS are implemented in FPGA. As for this paper in \cite{sewak2012fpga}, the authors present an area/speed comparison without any optimization between a 4-bits LFSR and a 16-bits BBS PRNG. Another work is founded in \cite{peris2010cryptographically} for RFID tag applications. Here, the authors present some FPGA implementation of BBS of 160 to 512 bits using different multiplication algorithms to satisfy the main BBS equation $(A*B mod M)$. The algorithms used for comparison are \emph{classical combinational multiplier}, \emph{classical shift adder and multiplication}, \emph{Karatsuba's multiplication} and  \emph{Montgomery's direct modular multiplication}. However, the authors compare just the area results and they claim the uses of the "Montgomery" iterative approach is the low cost area in FPGA.
\ No newline at end of file

diff --git a/PRNG/Cellular_Automata.tex b/PRNG/Cellular_Automata.tex
new file mode 100644 (file)
index 0000000..3bf141b
--- /dev/null
+++ b/PRNG/Cellular_Automata.tex
@@ -0,0 +1,9 @@
+\textit{Cellular Automata} or CA are proposed as a third class for exhibit chaotic or pseudo-random behavior presented by Wolfram "A New Kind of Science". It's can be represented as an array of cells that can hold and update their internal state dependent on local rules and the state of their neighborhood. The basic CA can combine 3 cells, each of them has two possibilities ${0,1}$. It's resuming a state machine with a total of 8 ($2^{3}$ binary configuration possibilities for each CA and resulting a 256 ($2^{8}$) possible rules generally referred to by their Wolfram code. If the rule of a CA involves only XOR logic it's called a linear rule. It will be referred to as complement rules when using XNOR logic. Otherwise, a linear CA represent all cells that has linear rules and an additive CA if they combine the linear and complement rules. Another type is the uniform CA, which has the same rule for all cells else it's a hybrid CA. Finally, a null boundary CA is when both the left and right neighborhood of the leftmost and rightmost terminal cell is connected to logic 0-state. 
+
+In 2003 \cite{tkacik2003hardware}, the author implemented a custom IC of HCA that combines the outputs of a hybrid 90/150 rules of a 37-bit CA with a 43-bit of LFSR to produce a maximum length PRNG. However and to pass pass all the statistic tests, the LFSR and HCA must be clocked at different frequencies to create a random output sequence. To resolve Clocking issue, a new solution presented in \cite{cerda2012efficient}. Here, the authors propose to XOR the last bit of HCA with the last bit of LFSR to generate 1-bit per clock cycle. Following that, they found the best combination for a high quality of PRNG is 16-bit CA with a 37-bit LFSR. In \cite{comer2012random}, they compare the previews work LFSR/HCA \cite{cerda2012efficient} with a new implementation of CA called \emph{Self-Programmable} CA (SPCA) and presented in \cite{guan2003pseudorandom}. It uses the super-rule 90/156 to determine when to make a dynamic rule change in each CA cell. Here, the the inputs rules of his neighboring cells is it self a second CA working in parallel with the main CA. However, even it gives a better throughput than the LFSR/HCA combination \cite{comer2012random}, it fails in the statistical test. Another CA combination solution is cited in \cite{raut2013stream}. Here, the authors propose another combination circuit of CA and Non-LFSR block based on A2U2 design. The main objective is to resist more of the various forms of cryptanalysis, such as correlation attacks and algebraic attacks. As for the outputs generated, they will pass to a mixer mechanism to increase the complexity for decryption. 
+
+In \cite{anghelescu2007vlsi}, the authors propose two Hybrid CA for an encryption system application. The first HCA-1 implemention work as a PRNG and use two rules 90/150 to generate a real-time key stream. The second HCA-2 is implemented as a block cipher and use a combination of 51/153/195 rules. However, to select witch rules will be used by the block cipher HCA-2, the PRNG or HCA-1 generate an encryption rules to switch the rules and provide each cell of HCA-2 is own rules. 
+
+A new implementation CA is presented in \cite{dogaru2010algebraic}, where the authors create an automatic software tool to generator CA. It's based on the \emph{algebraic normal form} (ANF) representation to generate a RTL code of any hybrid CA depending on ID rules provided as inputs. Using ANF representation and with ID=101 for 3 neighbor, the outputs  generated will be identical to Matlab results following this formula $(y = \ [K_{0} \ \bigotimes \ K_{1}(U_{1}) \ \bigotimes \ K_{2}(U_{2}) \ \bigotimes \ K_{3}(U_{3}) \ \bigotimes \ K_{4}(U_{1}*U_{2}) \ \bigotimes \ ... \ K_{7}(U_{1}*U_{2}*U_{3})] \ ... * mask)$. Then in recent papers \cite{ioana2014fpga}, they claim by using a chain of HCA instead of single HCA will increase the ratio of frequency/ares and cryptography.
+
+Another and different concept of CA is proposed in \cite{kotoulas20061}. It uses a new way to implement the rules for 1-d CA using the real time computer clock sequence. Here, the initial state configuration and his length is the product of day, month, year, hour, min and seconds. However, over a period of $t = x(60-x)$, it uses two functional rules. The first rule is the product of minutes by seconds $m*s$, and the second rule is the number of minutes divided by the number of seconds multiplied by a constant$\frac{m}{s} *c$.
\ No newline at end of file

diff --git a/PRNG/Cellular_Automata.tex.bak b/PRNG/Cellular_Automata.tex.bak
new file mode 100644 (file)
index 0000000..3bf141b
--- /dev/null
+++ b/PRNG/Cellular_Automata.tex.bak
@@ -0,0 +1,9 @@
+\textit{Cellular Automata} or CA are proposed as a third class for exhibit chaotic or pseudo-random behavior presented by Wolfram "A New Kind of Science". It's can be represented as an array of cells that can hold and update their internal state dependent on local rules and the state of their neighborhood. The basic CA can combine 3 cells, each of them has two possibilities ${0,1}$. It's resuming a state machine with a total of 8 ($2^{3}$ binary configuration possibilities for each CA and resulting a 256 ($2^{8}$) possible rules generally referred to by their Wolfram code. If the rule of a CA involves only XOR logic it's called a linear rule. It will be referred to as complement rules when using XNOR logic. Otherwise, a linear CA represent all cells that has linear rules and an additive CA if they combine the linear and complement rules. Another type is the uniform CA, which has the same rule for all cells else it's a hybrid CA. Finally, a null boundary CA is when both the left and right neighborhood of the leftmost and rightmost terminal cell is connected to logic 0-state. 
+
+In 2003 \cite{tkacik2003hardware}, the author implemented a custom IC of HCA that combines the outputs of a hybrid 90/150 rules of a 37-bit CA with a 43-bit of LFSR to produce a maximum length PRNG. However and to pass pass all the statistic tests, the LFSR and HCA must be clocked at different frequencies to create a random output sequence. To resolve Clocking issue, a new solution presented in \cite{cerda2012efficient}. Here, the authors propose to XOR the last bit of HCA with the last bit of LFSR to generate 1-bit per clock cycle. Following that, they found the best combination for a high quality of PRNG is 16-bit CA with a 37-bit LFSR. In \cite{comer2012random}, they compare the previews work LFSR/HCA \cite{cerda2012efficient} with a new implementation of CA called \emph{Self-Programmable} CA (SPCA) and presented in \cite{guan2003pseudorandom}. It uses the super-rule 90/156 to determine when to make a dynamic rule change in each CA cell. Here, the the inputs rules of his neighboring cells is it self a second CA working in parallel with the main CA. However, even it gives a better throughput than the LFSR/HCA combination \cite{comer2012random}, it fails in the statistical test. Another CA combination solution is cited in \cite{raut2013stream}. Here, the authors propose another combination circuit of CA and Non-LFSR block based on A2U2 design. The main objective is to resist more of the various forms of cryptanalysis, such as correlation attacks and algebraic attacks. As for the outputs generated, they will pass to a mixer mechanism to increase the complexity for decryption. 
+
+In \cite{anghelescu2007vlsi}, the authors propose two Hybrid CA for an encryption system application. The first HCA-1 implemention work as a PRNG and use two rules 90/150 to generate a real-time key stream. The second HCA-2 is implemented as a block cipher and use a combination of 51/153/195 rules. However, to select witch rules will be used by the block cipher HCA-2, the PRNG or HCA-1 generate an encryption rules to switch the rules and provide each cell of HCA-2 is own rules. 
+
+A new implementation CA is presented in \cite{dogaru2010algebraic}, where the authors create an automatic software tool to generator CA. It's based on the \emph{algebraic normal form} (ANF) representation to generate a RTL code of any hybrid CA depending on ID rules provided as inputs. Using ANF representation and with ID=101 for 3 neighbor, the outputs  generated will be identical to Matlab results following this formula $(y = \ [K_{0} \ \bigotimes \ K_{1}(U_{1}) \ \bigotimes \ K_{2}(U_{2}) \ \bigotimes \ K_{3}(U_{3}) \ \bigotimes \ K_{4}(U_{1}*U_{2}) \ \bigotimes \ ... \ K_{7}(U_{1}*U_{2}*U_{3})] \ ... * mask)$. Then in recent papers \cite{ioana2014fpga}, they claim by using a chain of HCA instead of single HCA will increase the ratio of frequency/ares and cryptography.
+
+Another and different concept of CA is proposed in \cite{kotoulas20061}. It uses a new way to implement the rules for 1-d CA using the real time computer clock sequence. Here, the initial state configuration and his length is the product of day, month, year, hour, min and seconds. However, over a period of $t = x(60-x)$, it uses two functional rules. The first rule is the product of minutes by seconds $m*s$, and the second rule is the number of minutes divided by the number of seconds multiplied by a constant$\frac{m}{s} *c$.
\ No newline at end of file

diff --git a/PRNG/LFSR.tex b/PRNG/LFSR.tex
new file mode 100644 (file)
index 0000000..ccdfd81
--- /dev/null
+++ b/PRNG/LFSR.tex
@@ -0,0 +1,7 @@
+\textit{Linear Feedback Shift Register Generators} or LFSR use a feedback polynomial driven by an exclusive-OR (XOR) as a coefficients to shift bits of the register based on Flip-Flop. It uses an initial input called "seed" and a n-bits generation period of $2^{n}-1$. However, even there are many FPGA implementation of LFSR can be founded, few of them has a optimize version on FPGA. As in this work \cite{6614692}, where the authors present two types of PRNG based LFSR. The first is called \emph{Shrinking Generator} (SG), that uses two LFSRs of $67-bit$. It consist for every clock cycle, the bit output generated will be the same of the second LFSR-2 if the 1-bits LSB of the first LFSR-1  is "1" or put "0". The second PRNG is called \emph{alternating step generator} (ASG). It uses a third LFSR-3 of $141-bits$ to control which bit output will be token from the others two LFSR of $131 and 137bit$. However, for a small comparison purpose, the SG has a Total period of $L_{T}= \ (2^{L_{2}-1})*2^{L_{1}-1}$, where the ASG has a period of $L_{T}= \ 2^{L_{1}}(2^{L_{2}-1})(2^{L_{3}-1})$. 
+ 
+\textit{Linear Congruential Generators} or LCG are another linear recurrence described by $x_{i+1} = (ax_{i} + b) \ mod \ 2^{n}$, and "a" is called the multiplier, "b" the increment, and "m" the modulus. A FPGA implementation of LCG can be demonstrated in \cite{katti2009efficient}, where the authors propose  two version of PRNG based LCG. The first version is a \emph{coupled LCG} (CLCG), coupling two linear congruential generator. It consists the use of the first LCG-1 to generate a control bit, and to select the output bit from the second LCG-2 following this equation $x_{t+1} = (a_{1} × x_{t} + b_{1}) \ mod \ 2^{n}$. However, the second version is a 4-stages pipeline of two CLCG that can generate a 4-bit simultaneous. As a consequences and for every pipeline level, a n-bit/n-pipeline will be computed with a two n-bit additions generated by the flowing equation $x_{t+1} = (2^{r} * x_{t} \ mod \ 2^{n}) + (x_{i} + b_{1}) \ mod \ 2^{n})$. The results of every stage will be feedback and processed in the earlier and following stage for more complexity.
+
+\textit{LUT and Accumulator Generators} are a digital component used or implemented on FPGA to accelerate hardware optimization. The \emph{Lookup-Tables} are a fully dependent FPGA technologies vendors. Every configurable logic block (CLB) of FPGA include a n-Look-up Table (LUT 2/4/6/8-inputs and one outputs), some carry, a control logic and storage elements. In the other side, the \emph{accumulators} are an user combinatory logic circuit that uses the FPGA resources as a components. Some of the works based on LUT are cited in \cite{thomas2008fpga}, \cite{thomas2010fpga} and \cite{thomas2013lut}. The authors of thous papers presents a series of a LUT optimized PRNG based on F-2 linear matrix recursive algorithms. The basic idea is to provide a maximum area efficiency using thous optimization. As consequences and for each row of the recurrence matrix "A" mapped as a XOR gate, can also be implemented in a single LUT. Also,  it's allow in the same time, the test of the characteristic polynomial of each matrix for primitivity. Thous PRNGs proposed as LFSR or \emph{masterine tewister MT} will use the LUT as a Flip-Flips (FF), Shift Registers (SR) or block of RAMs and then compare between them in FPGA. However, the big drawback of this method (LUT) is when creating a long period sequence. To do that, a large number of LUT (FF, SR, RAM) pairs must be used. Even if an application only needs 64 bits per cycle, it must use 512 LUT-FFs to get a period of $2^{512-1}$ for example. Even that, the authors claim a 87 percent the performance will be wasted using this optimization. 
+
+Another implementation in \cite{gonzalez2011pseudorandom}, where the authors propose a 9-stage PRNG of 8 bit using digital accumulator. Here, it based on $\sum \Delta$ modulators M for fractional frequency synthesizers and implemented as self-recursive structure. They claims by taking a constant X as an inputs, the accumulator sum P0 is the state variable of the system. Then and for every cycle, two outputs are generated, the sum modulus of M or the \emph{quantization error} e0 $P0[i]= \ X \ + e0[i-1]$ and the carry output y0 for overloads if the $sum >= M$. However, the proposal solution implement a multistage of  $\sum \Delta$, where the previews stage of the accumulator and the output M will be feedback to the early stage. Also, the authors scale the error e0 by a coefficient inputs accumulator and multiplied by a binary variable $d \in {0, 1}$ generated by a linear feedback shift register (LFSR).
\ No newline at end of file

diff --git a/PRNG/LFSR.tex.bak b/PRNG/LFSR.tex.bak
new file mode 100644 (file)
index 0000000..ccdfd81
--- /dev/null
+++ b/PRNG/LFSR.tex.bak
@@ -0,0 +1,7 @@
+\textit{Linear Feedback Shift Register Generators} or LFSR use a feedback polynomial driven by an exclusive-OR (XOR) as a coefficients to shift bits of the register based on Flip-Flop. It uses an initial input called "seed" and a n-bits generation period of $2^{n}-1$. However, even there are many FPGA implementation of LFSR can be founded, few of them has a optimize version on FPGA. As in this work \cite{6614692}, where the authors present two types of PRNG based LFSR. The first is called \emph{Shrinking Generator} (SG), that uses two LFSRs of $67-bit$. It consist for every clock cycle, the bit output generated will be the same of the second LFSR-2 if the 1-bits LSB of the first LFSR-1  is "1" or put "0". The second PRNG is called \emph{alternating step generator} (ASG). It uses a third LFSR-3 of $141-bits$ to control which bit output will be token from the others two LFSR of $131 and 137bit$. However, for a small comparison purpose, the SG has a Total period of $L_{T}= \ (2^{L_{2}-1})*2^{L_{1}-1}$, where the ASG has a period of $L_{T}= \ 2^{L_{1}}(2^{L_{2}-1})(2^{L_{3}-1})$. 
+ 
+\textit{Linear Congruential Generators} or LCG are another linear recurrence described by $x_{i+1} = (ax_{i} + b) \ mod \ 2^{n}$, and "a" is called the multiplier, "b" the increment, and "m" the modulus. A FPGA implementation of LCG can be demonstrated in \cite{katti2009efficient}, where the authors propose  two version of PRNG based LCG. The first version is a \emph{coupled LCG} (CLCG), coupling two linear congruential generator. It consists the use of the first LCG-1 to generate a control bit, and to select the output bit from the second LCG-2 following this equation $x_{t+1} = (a_{1} × x_{t} + b_{1}) \ mod \ 2^{n}$. However, the second version is a 4-stages pipeline of two CLCG that can generate a 4-bit simultaneous. As a consequences and for every pipeline level, a n-bit/n-pipeline will be computed with a two n-bit additions generated by the flowing equation $x_{t+1} = (2^{r} * x_{t} \ mod \ 2^{n}) + (x_{i} + b_{1}) \ mod \ 2^{n})$. The results of every stage will be feedback and processed in the earlier and following stage for more complexity.
+
+\textit{LUT and Accumulator Generators} are a digital component used or implemented on FPGA to accelerate hardware optimization. The \emph{Lookup-Tables} are a fully dependent FPGA technologies vendors. Every configurable logic block (CLB) of FPGA include a n-Look-up Table (LUT 2/4/6/8-inputs and one outputs), some carry, a control logic and storage elements. In the other side, the \emph{accumulators} are an user combinatory logic circuit that uses the FPGA resources as a components. Some of the works based on LUT are cited in \cite{thomas2008fpga}, \cite{thomas2010fpga} and \cite{thomas2013lut}. The authors of thous papers presents a series of a LUT optimized PRNG based on F-2 linear matrix recursive algorithms. The basic idea is to provide a maximum area efficiency using thous optimization. As consequences and for each row of the recurrence matrix "A" mapped as a XOR gate, can also be implemented in a single LUT. Also,  it's allow in the same time, the test of the characteristic polynomial of each matrix for primitivity. Thous PRNGs proposed as LFSR or \emph{masterine tewister MT} will use the LUT as a Flip-Flips (FF), Shift Registers (SR) or block of RAMs and then compare between them in FPGA. However, the big drawback of this method (LUT) is when creating a long period sequence. To do that, a large number of LUT (FF, SR, RAM) pairs must be used. Even if an application only needs 64 bits per cycle, it must use 512 LUT-FFs to get a period of $2^{512-1}$ for example. Even that, the authors claim a 87 percent the performance will be wasted using this optimization. 
+
+Another implementation in \cite{gonzalez2011pseudorandom}, where the authors propose a 9-stage PRNG of 8 bit using digital accumulator. Here, it based on $\sum \Delta$ modulators M for fractional frequency synthesizers and implemented as self-recursive structure. They claims by taking a constant X as an inputs, the accumulator sum P0 is the state variable of the system. Then and for every cycle, two outputs are generated, the sum modulus of M or the \emph{quantization error} e0 $P0[i]= \ X \ + e0[i-1]$ and the carry output y0 for overloads if the $sum >= M$. However, the proposal solution implement a multistage of  $\sum \Delta$, where the previews stage of the accumulator and the output M will be feedback to the early stage. Also, the authors scale the error e0 by a coefficient inputs accumulator and multiplied by a binary variable $d \in {0, 1}$ generated by a linear feedback shift register (LFSR).
\ No newline at end of file

diff --git a/PRNG/Mastrine_Tewister.tex b/PRNG/Mastrine_Tewister.tex
new file mode 100644 (file)
index 0000000..b1fbed4
--- /dev/null
+++ b/PRNG/Mastrine_Tewister.tex
@@ -0,0 +1,8 @@
+\textit{Mersenne Twister Generators} or MT are a word-wise recurrence matrix instead of bit-wise as for LFSR. The first implementation of this generator use a generalized version of Feedback Shift Register called "GFSR". It generates an output as a state vector or an array flowing this equation $x[t] = \ (x_{M1} \ \bigotimes \ x_{M2} \ \bigotimes \ ...)$, where M is the middle word $1 \ < \ M \ < \ t$. However, the GFSR are known to not reach the maximum period. To resolve that, a matrix recurrence twisted for GFSR "TGFSR" has been proposed to increase the period. It uses a feedback polynomial of $x_{t+k} = \ [x_{M+k} \ \bigotimes \ (x_k^u \ | \ x_{k+1}^l)\ .A]$, where k=1,2,3 and $x[0]^{u}, \ x[1]^{l}$ are the less and most significant bit of $x_{t}$ (u,l are tempering bit shifts). To uniform the outputs of TGFSR, they are tempered by a bitwise multiplication using a binary matrix $y = \ x_{t}*T$ . Also, it performs the statistical properties by reducing the dimensionality of equidistribution. In the same purpose for a long period PRNG, the Mersenne twister (MT) is proposed as a special case of TGFSR. We can find two main implementation of MT, the MT11213 with a period of $2^{19937-1}$ and the MT19937 with a period of $2^{19937-1}$.
+
+We can start by some implementation of TGFSR that are cited in \cite{banks2008fpga}. Here, the authors compare two FPGA implementation version of TGFSR. The first version implement two Mersenne Twister PRNG "MT19937" and "MT11213" but using \emph{Generalised Feedback Shift Registers} (GFSRs) and without any hardware optimization. Then, two optimized TGFSR version "Ran" and "Ranq1" has been proposed based on just multiplication of fixed precision integers (with overflow). The comparison presented, shows the two TGFSR of the second version has a good area optimization unlike of the first version that use block memories RAMs for multiplications.
+
+As for Mersenne Twister, we can find in \cite{wu2013hardware}. Here, the authors propose a 3-stages pipeline version of MT19937. It uses a dual-port BRAM memories of the FPGA to generate a long period and for multiplication operation. However, it takes 3 cycle for every sample bit generated. In the other hand and in \cite{li2012efficient}, the authors present an MT Implementation with just 3 read for ever 1 write into the RAM structure. This technique is resulting a single sample per cycle. Another pipeline MT19937 implementation is in \cite{chandrasekaran2008high} using a single block RAMs to store the state vector. The same approach has been done in \cite{tian2009mersenne} for "MT2203" but using multi ported block of RAMs to reduce HW resource instead of using multi/single RAMs with limited block ports. Hence, compared to the two early version of parallel MT. In \cite{dalal2008fast}, the authors propose two parallel version of "MT19937" by reducing the IO ports and bank memories RAMs. The first version is the \emph{Interleaved Parallelization} (IP) that generate a N-bit for every "P" memories bank separately and during a period of $T= \ (P/N_{bits})*(N_{IO}/clock)$. The second version is \emph{Chunked Parallelization} (CP) that claim to use a fewer block RAMs compared to the IP version. It's based on the idea to use the output bit of each RAM bank as the far recurrence input for the following RAM bank.
+ 
+Finally, a recent paper presented in \cite{echeverria2013high}. Here, the authors compare another simple implementation of MT19937 that use RAM banks memories as storage element with a new alternative solution of RAMs called \emph{circular buffer}. The new solution is based on the fixed relationship between the indexes of the words. It considers the replacement of each step of the recurrence $x_{t}$ with $x_{t+k}$ in the work area. This way, the linear recurrence and the buffer of registers can be considered as a circular buffer. Here, the linear recurrence is carried out by some combinational logic between the input and the output of the buffer. Hence, the architecture is simplified as no logic for the table indexes is needed.
+

diff --git a/PRNG/Mastrine_Tewister.tex.bak b/PRNG/Mastrine_Tewister.tex.bak
new file mode 100644 (file)
index 0000000..b1fbed4
--- /dev/null
+++ b/PRNG/Mastrine_Tewister.tex.bak
@@ -0,0 +1,8 @@
+\textit{Mersenne Twister Generators} or MT are a word-wise recurrence matrix instead of bit-wise as for LFSR. The first implementation of this generator use a generalized version of Feedback Shift Register called "GFSR". It generates an output as a state vector or an array flowing this equation $x[t] = \ (x_{M1} \ \bigotimes \ x_{M2} \ \bigotimes \ ...)$, where M is the middle word $1 \ < \ M \ < \ t$. However, the GFSR are known to not reach the maximum period. To resolve that, a matrix recurrence twisted for GFSR "TGFSR" has been proposed to increase the period. It uses a feedback polynomial of $x_{t+k} = \ [x_{M+k} \ \bigotimes \ (x_k^u \ | \ x_{k+1}^l)\ .A]$, where k=1,2,3 and $x[0]^{u}, \ x[1]^{l}$ are the less and most significant bit of $x_{t}$ (u,l are tempering bit shifts). To uniform the outputs of TGFSR, they are tempered by a bitwise multiplication using a binary matrix $y = \ x_{t}*T$ . Also, it performs the statistical properties by reducing the dimensionality of equidistribution. In the same purpose for a long period PRNG, the Mersenne twister (MT) is proposed as a special case of TGFSR. We can find two main implementation of MT, the MT11213 with a period of $2^{19937-1}$ and the MT19937 with a period of $2^{19937-1}$.
+
+We can start by some implementation of TGFSR that are cited in \cite{banks2008fpga}. Here, the authors compare two FPGA implementation version of TGFSR. The first version implement two Mersenne Twister PRNG "MT19937" and "MT11213" but using \emph{Generalised Feedback Shift Registers} (GFSRs) and without any hardware optimization. Then, two optimized TGFSR version "Ran" and "Ranq1" has been proposed based on just multiplication of fixed precision integers (with overflow). The comparison presented, shows the two TGFSR of the second version has a good area optimization unlike of the first version that use block memories RAMs for multiplications.
+
+As for Mersenne Twister, we can find in \cite{wu2013hardware}. Here, the authors propose a 3-stages pipeline version of MT19937. It uses a dual-port BRAM memories of the FPGA to generate a long period and for multiplication operation. However, it takes 3 cycle for every sample bit generated. In the other hand and in \cite{li2012efficient}, the authors present an MT Implementation with just 3 read for ever 1 write into the RAM structure. This technique is resulting a single sample per cycle. Another pipeline MT19937 implementation is in \cite{chandrasekaran2008high} using a single block RAMs to store the state vector. The same approach has been done in \cite{tian2009mersenne} for "MT2203" but using multi ported block of RAMs to reduce HW resource instead of using multi/single RAMs with limited block ports. Hence, compared to the two early version of parallel MT. In \cite{dalal2008fast}, the authors propose two parallel version of "MT19937" by reducing the IO ports and bank memories RAMs. The first version is the \emph{Interleaved Parallelization} (IP) that generate a N-bit for every "P" memories bank separately and during a period of $T= \ (P/N_{bits})*(N_{IO}/clock)$. The second version is \emph{Chunked Parallelization} (CP) that claim to use a fewer block RAMs compared to the IP version. It's based on the idea to use the output bit of each RAM bank as the far recurrence input for the following RAM bank.
+ 
+Finally, a recent paper presented in \cite{echeverria2013high}. Here, the authors compare another simple implementation of MT19937 that use RAM banks memories as storage element with a new alternative solution of RAMs called \emph{circular buffer}. The new solution is based on the fixed relationship between the indexes of the words. It considers the replacement of each step of the recurrence $x_{t}$ with $x_{t+k}$ in the work area. This way, the linear recurrence and the buffer of registers can be considered as a circular buffer. Here, the linear recurrence is carried out by some combinational logic between the input and the output of the buffer. Hence, the architecture is simplified as no logic for the table indexes is needed.
+

diff --git a/PRNG/PRNG.log b/PRNG/PRNG.log
new file mode 100644 (file)
index 0000000..48c8690
--- /dev/null
+++ b/PRNG/PRNG.log
@@ -0,0 +1,784 @@
+This is pdfTeX, Version 3.1415926-2.5-1.40.14 (MiKTeX 2.9 64-bit) (preloaded format=pdflatex 2014.12.7)  12 JAN 2015 08:40\r
+entering extended mode\r
+**PRNG.tex\r
+(L:\Projet_CIPNRG\CIPNRG_Phd\2_My_Pepers\IFIP_SEC_2015_V2\PRNG\PRNG.tex\r
+LaTeX2e <2014/05/01>\r
+Babel <3.9l> and hyphenation patterns for 68 languages loaded.\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.1 S\r
+     ome of the algorithms that generate pseudo random numbers are Blum Blum...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
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+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no M in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no M in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no W in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no E in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
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+                 2-Linear Generator}\r
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diff --git a/PRNG/PRNG.tex b/PRNG/PRNG.tex
new file mode 100644 (file)
index 0000000..35a23da
--- /dev/null
+++ b/PRNG/PRNG.tex
@@ -0,0 +1,17 @@
+We illustrate in this part of the survey all theory and concept implementation in FPGA of the PRNG generators. An important property of all these generators is that they are special cases of a general class of generators whose state evolves according to a (matrix) linear recurrence modulo 2 and the bits that form the output are also determined by a linear transformation modulo 2 applied to the state. Except for the chaotic system where are dynamic and non linear PRNG. 
+
+%%%% All Type of PRNG
+%\subsection{F2-Linear Generator} 
+\input{../PRNG/LFSR.tex}
+ 
+\label{Blum Blum Shub} 
+\input{../PRNG/BBS.tex} 
+
+\label{Mastrine Tewister}
+\input{../PRNG/Mastrine_Tewister.tex} 
+
+\label{Cellular Automata} 
+\input{../PRNG/Cellular_Automata.tex} 
+
+\label{Chaotic Rundom Number Generator} 
+\input{../Chaotic/Chaotic.tex}
\ No newline at end of file

diff --git a/PRNG/PRNG.tex.bak b/PRNG/PRNG.tex.bak
new file mode 100644 (file)
index 0000000..35a23da
--- /dev/null
+++ b/PRNG/PRNG.tex.bak
@@ -0,0 +1,17 @@
+We illustrate in this part of the survey all theory and concept implementation in FPGA of the PRNG generators. An important property of all these generators is that they are special cases of a general class of generators whose state evolves according to a (matrix) linear recurrence modulo 2 and the bits that form the output are also determined by a linear transformation modulo 2 applied to the state. Except for the chaotic system where are dynamic and non linear PRNG. 
+
+%%%% All Type of PRNG
+%\subsection{F2-Linear Generator} 
+\input{../PRNG/LFSR.tex}
+ 
+\label{Blum Blum Shub} 
+\input{../PRNG/BBS.tex} 
+
+\label{Mastrine Tewister}
+\input{../PRNG/Mastrine_Tewister.tex} 
+
+\label{Cellular Automata} 
+\input{../PRNG/Cellular_Automata.tex} 
+
+\label{Chaotic Rundom Number Generator} 
+\input{../Chaotic/Chaotic.tex}
\ No newline at end of file

diff --git a/PRNG/build/LFSR.log b/PRNG/build/LFSR.log
new file mode 100644 (file)
index 0000000..0966c26
--- /dev/null
+++ b/PRNG/build/LFSR.log
@@ -0,0 +1,4994 @@
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+entering extended mode\r
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+See the LaTeX manual or LaTeX Companion for explanation.\r
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+l.1 \textit{Linear Generators}\r
+                              \r
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+ ...                                              \r
+                                                  \r
+l.4 I\r
+     n \cite{katti2009efficient} 2009 Raj S. Katti and Sudarshan K. Srinivas...\r
+\r
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+                                 2009 Raj S. Katti and Sudarshan K. Srinivas...\r
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+ ...                                              \r
+                                                  \r
+l.6 I\r
+     n \cite{zarei2010designing} 2010 Iman Zarei Moghadam et al, we designed...\r
+\r
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+                                 2010 Iman Zarei Moghadam et al, we designed...\r
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+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no 4 in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no E in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no 3 in font nullfont!\r
+Missing character: There is no 9 in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
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+\r
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+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.9 I\r
+     n \cite{gonzalez2011pseudorandom} 2011 Victor R. Gonzalez-Diaz et al, I...\r
+\r
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+\r
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+\citation{gonzalez2011pseudorandom}\r
+! Undefined control sequence.\r
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+                                                  \space undefined\on@line .\r
+l.9 In \cite{gonzalez2011pseudorandom}\r
+                                       2011 Victor R. Gonzalez-Diaz et al, I...\r
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+\r
+\r
+LaTeX Warning: Citation `gonzalez2011pseudorandom' on page  undefined on input \r
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+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no â in font nullfont!\r
+Missing character: There is no \80 in font nullfont!\r
+Missing character: There is no \99 in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
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+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.16 I\r
+      n \cite{thomas2014fpga} 2014 David B. Thomas,\r
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+If that doesn't work, type  X <return>  to quit.\r
+\r
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+\citation{thomas2014fpga}\r
+! Undefined control sequence.\r
+<write> ...: Citation `\@citeb ' on page \thepage \r
+                                                  \space undefined\on@line .\r
+l.16 In \cite{thomas2014fpga}\r
+                              2014 David B. Thomas,\r
+The control sequence at the end of the top line\r
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+LaTeX Warning: Citation `thomas2014fpga' on page  undefined on input line 16.\r
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+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.18 \textit{LUT and Aacumulator }\r
+                                  \r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
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+\citation{thomas2008fpga}\r
+! Undefined control sequence.\r
+<write> ...: Citation `\@citeb ' on page \thepage \r
+                                                  \space undefined\on@line .\r
+l.19 In \cite{thomas2008fpga}\r
+                              2008 David B. Thomas and Wayne Luk, This paper...\r
+The control sequence at the end of the top line\r
+of your error message was never \def'ed. If you have\r
+misspelled it (e.g., `\hobx'), type `I' and the correct\r
+spelling (e.g., `I\hbox'). Otherwise just continue,\r
+and I'll forget about whatever was undefined.\r
+\r
+\r
+LaTeX Warning: Citation `thomas2008fpga' on page  undefined on input line 19.\r
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+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no U in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no W in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no : in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no U in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no U in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
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diff --git a/References.bib b/References.bib
new file mode 100644 (file)
index 0000000..ca2bf9f
--- /dev/null
+++ b/References.bib
@@ -0,0 +1,421 @@
+@inproceedings{dabal2011chaos,
+  title={A chaos-based pseudo-random bit generator implemented in FPGA device},
+  author={Dabal, Pawel and Pelka, Ryszard},
+  booktitle={Design and Diagnostics of Electronic Circuits \& Systems (DDECS), 2011 IEEE 14th International Symposium on},
+  pages={151--154},
+  year={2011},
+  organization={IEEE}}
+
+@inproceedings{dabal2012fpga,
+  title={FPGA implementation of chaotic pseudo-random bit generators},
+  author={Dabal, Pawel and Pelka, Ryszard},
+  booktitle={Mixed Design of Integrated Circuits and Systems (MIXDES), 2012 Proceedings of the 19th International Conference},
+  pages={260--264},
+  year={2012},
+  organization={IEEE}}
+  
+@INPROCEEDINGS{6868789,
+author={Dabal, Pawel and Pelka, Ryszard},
+booktitle={Design and Diagnostics of Electronic Circuits Systems, 17th International Symposium on},
+title={A study on fast pipelined pseudo-random number generator based on chaotic logistic map},
+year={2014},
+month={April},
+pages={195-200},
+keywords={chaotic systems;logistic map;pseudo-random bit generator;system-on-chip},
+doi={10.1109/DDECS.2014.6868789},}
+
+@article{merahcoupling,
+  title={Coupling Two Chaotic Systems in Order to Increasing the Security of a Communication System-Study and Real Time FPGA Implementation},
+  author={Merah, Lahcene and ALI-PACHA, Adda and SAID, Naima HADJ}}
+  
+  @inproceedings{hariprasad2013fpga,
+  title={FPGA Implementation of A Cryptography Technology Using Pseudo Random Number Generator},
+  author={Hariprasad, NagaDeepa and others},
+  booktitle={International Journal of Engineering Research and Technology},
+  volume={2},
+  number={11 (November-2013)},
+  year={2013},
+  organization={ESRSA Publications}}
+  
+@INPROCEEDINGS{5554284,
+author={Ziqi Zhu and Hu, Hanping},
+booktitle={Intelligent Control and Automation (WCICA), 2010 8th World Congress on},
+title={A dynamic nonlinear transform arithmetic for improving the properties chaos-based PRNG},
+year={2010},
+month={July},
+pages={7055-7060},
+keywords={field programmable gate arrays;group theory;information theory;random number generation;FPGA platform;chaos-based PRNG;chaotic system;cycle length;dynamic nonlinear transform arithmetic;group theory;information theory;pseudorandom number generator;Books;Chaos;Cryptography;Entropy;Generators;Testing;Transforms;Chaos;Nonlinear systems;Pseudorandom sequences},
+doi={10.1109/WCICA.2010.5554284},}
+
+@inproceedings{mao2006design,
+  title={Design and FPGA implementation of a pseudo-random bit sequence generator using spatiotemporal chaos},
+  author={Mao, Yaobin and Cao, Liu and Liu, Wenbo},
+  booktitle={Communications, Circuits and Systems Proceedings, 2006 International Conference on},
+  volume={3},
+  pages={2114--2118},
+  year={2006},
+  organization={IEEE}}
+  
+@inproceedings{mansingka2013fibonacci,
+  title={Fibonacci-Based Hardware Post-Processing for Non-Autonomous Signum Hyperchaotic System},
+  author={Mansingka, Abhinav S and Barakat, Mohamed L and Zidan, M Affan and Radwan, Ahmed G and Salama, Khaled N},
+  booktitle={IT Convergence and Security (ICITCS), 2013 International Conference on},
+  pages={1--4},
+  year={2013},
+  organization={IEEE}}
+  
+  @incollection{fischer2003true,
+  title={True random number generator embedded in reconfigurable hardware},
+  author={Fischer, Viktor and Drutarovsk{\`y}, Milo{\v{s}}},
+  booktitle={Cryptographic Hardware and Embedded Systems-CHES 2002},
+  pages={415--430},
+  year={2003},
+  publisher={Springer}}
+  
+  @inproceedings{vsimka2005embedded,
+  title={Embedded true random number generator in actel FPGAs},
+  author={{\v{S}}imka, Martin and Drutarovsk{\`y}, Milo{\v{s}} and Fischer, Viktor},
+  booktitle={Workshop on Cryptographic Advances in Secure Hardware--CRASH},
+  pages={6--7},
+  year={2005}}
+  
+  @article{simka2011testing,
+  title={Testing of PLL-based True Random Number Generator in ChangingWorking Conditions},
+  author={Simka, Martin and Drutarovsk{\`y}, Milos and Fischer, Viktor and others},
+  journal={RADIOENGINEERING,},
+  volume={20},
+  pages={94--101},
+  year={2011}}
+  
+  @inproceedings{varchola2008hardware,
+  title={Hardware platform for testing performance of TRNGs embedded in actel fusion FPGA},
+  author={Varchola, Michal and Drutarovsky, Milos and Fouquet, Robert and Fischer, Viktor},
+  booktitle={Radioelektronika, 2008 18th International Conference},
+  pages={1--4},
+  year={2008},
+  organization={IEEE}}
+  
+  @inproceedings{kohlbrenner2004embedded,
+  title={An embedded true random number generator for FPGAs},
+  author={Kohlbrenner, Paul and Gaj, Kris},
+  booktitle={Proceedings of the 2004 ACM/SIGDA 12th international symposium on Field programmable gate arrays},
+  pages={71--78},
+  year={2004},
+  organization={ACM}}
+  
+  @article{klein2009design,
+  title={Design and Implementation of a High Quality and High Throughput TRNG in FPGA},
+  author={Klein, Cristian and Cret, Octavian and Suciu, Alin},
+  journal={arXiv preprint arXiv:0906.4762},
+  year={2009}}
+  
+  @inproceedings{tsoi2003compact,
+  title={Compact FPGA-based true and pseudo random number generators},
+  author={Tsoi, Kuen Hung and Leung, KH and Leong, Philip Heng Wai},
+  booktitle={Field-Programmable Custom Computing Machines, 2003. FCCM 2003. 11th Annual IEEE Symposium on},
+  pages={51--61},
+  year={2003},
+  organization={IEEE}}
+  
+  @book{dichtl2007high,
+  title={High-speed true random number generation with logic gates only},
+  author={Dichtl, Markus and Goli{\'c}, Jovan Dj},
+  year={2007},
+  publisher={Springer}}
+  
+  @inproceedings{cherkaoui2013self,
+  title={A Self-timed Ring Based True Random Number Generator},
+  author={Cherkaoui, Abdelkarim and Fischer, Viktor and Aubert, Alain and Fesquet, Laurent},
+  booktitle={Asynchronous Circuits and Systems (ASYNC), 2013 IEEE 19th International Symposium on},
+  pages={99--106},
+  year={2013},
+  organization={IEEE}}
+  
+  @inproceedings{cherkaoui2012comparison,
+  title={Comparison of self-timed ring and inverter ring oscillators as entropy sources in FPGAs},
+  author={Cherkaoui, Abdelkarim and Fischer, Viktor and Aubert, Alain and Fesquet, Laurent},
+  booktitle={Design, Automation \& Test in Europe Conference \& Exhibition (DATE), 2012},
+  pages={1325--1330},
+  year={2012},
+  organization={IEEE}}
+  
+  @incollection{vasyltsov2008fast,
+  title={Fast digital TRNG based on metastable ring oscillator},
+  author={Vasyltsov, Ihor and Hambardzumyan, Eduard and Kim, Young-Sik and Karpinskyy, Bohdan},
+  booktitle={Cryptographic Hardware and Embedded Systems--CHES 2008},
+  pages={164--180},
+  year={2008},
+  publisher={Springer}}
+  
+  @incollection{majzoobi2011fpga,
+  title={FPGA-based true random number generation using circuit metastability with adaptive feedback control},
+  author={Majzoobi, Mehrdad and Koushanfar, Farinaz and Devadas, Srinivas},
+  booktitle={Cryptographic Hardware and Embedded Systems--CHES 2011},
+  pages={17--32},
+  year={2011},
+  publisher={Springer}}
+  
+  @article{lee2014metastability,
+  title={Metastability-based Feedback Method for Enhancing FPGA-based TRNG.},
+  author={Lee, Donggeon and Seo, Hwajeong and Kim, Howon},
+  journal={International Journal of Multimedia \& Ubiquitous Engineering},
+  volume={9},
+  number={3},
+  year={2014}}
+  
+  @inproceedings{kotoulas20061,
+  title={1-d cellular automaton for pseudorandom number generation and its reconfigurable hardware implementation},
+  author={Kotoulas, Leonidas and Tsarouchis, Demetrios and Sirakoulis, Georgios Ch and Andreadis, Ioannis},
+  booktitle={Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on},
+  pages={4--pp},
+  year={2006},
+  organization={IEEE}}
+  
+  @inproceedings{anghelescu2007vlsi,
+  title={VLSI implementation of high-speed cellular automata encryption algorithm},
+  author={Anghelescu, Petre and Sofron, Emil and Ionita, Silviu},
+  booktitle={Semiconductor Conference, 2007. CAS 2007. International},
+  volume={2},
+  pages={509--512},
+  year={2007},
+  organization={IEEE}}
+  
+  @inproceedings{raut2013stream,
+  title={Stream cipher design using cellular automata implemented on FPGAs},
+  author={Raut, Lakshman and Hoe, David HK},
+  booktitle={System Theory (SSST), 2013 45th Southeastern Symposium on},
+  pages={146--149},
+  year={2013},
+  organization={IEEE}}
+  
+  @inproceedings{dogaru2010algebraic,
+  title={Algebraic normal form for rapid prototyping of elementary hybrid cellular automata in FPGA},
+  author={Dogaru, Ioana and Dogaru, Radu},
+  booktitle={Electrical and Electronics Engineering (ISEEE), 2010 3rd International Symposium on},
+  pages={277--280},
+  year={2010},
+  organization={IEEE}}
+  
+  @inproceedings{ioana2014fpga,
+  title={FPGA implementation and evaluation of two cryptographically secure hybrid cellular automata},
+  author={Ioana, Dogaru and Radu, Dogaru},
+  booktitle={Communications (COMM), 2014 10th International Conference on},
+  pages={1--4},
+  year={2014},
+  organization={IEEE}}
+  
+  @inproceedings{cerda2012efficient,
+  title={An efficient FPGA random number generator using LFSRs and cellular automata},
+  author={Cerda, Juan C and Martinez, Chris D and Comer, Jonathan M and Hoe, David HK},
+  booktitle={Circuits and Systems (MWSCAS), 2012 IEEE 55th International Midwest Symposium on},
+  pages={912--915},
+  year={2012},
+  organization={IEEE}}
+  
+  @inproceedings{comer2012random,
+  title={Random number generators using Cellular Automata implemented on FPGAs},
+  author={Comer, Jonathan M and Cerda, Juan C and Martinez, Chris D and Hoe, David HK},
+  booktitle={System Theory (SSST), 2012 44th Southeastern Symposium on},
+  pages={67--72},
+  year={2012},
+  organization={IEEE}}
+  
+  @inproceedings{guan2003pseudorandom,
+  title={Pseudorandom Number Generator--The Self Programmable Cellular Automata},
+  author={Guan, Sheng-Uei and Tan, Syn Kiat},
+  booktitle={Knowledge-Based Intelligent Information and Engineering Systems},
+  pages={1230--1235},
+  year={2003},
+  organization={Springer}}
+  
+  @inproceedings{sewak2012fpga,
+  title={FPGA implementation of 16 bit BBS and LFSR PN sequence generator: A comparative study},
+  author={Sewak, Khushboo and Rajput, Praveena and Panda, Amit Kumar},
+  booktitle={Electrical, Electronics and Computer Science (SCEECS), 2012 IEEE Students' Conference on},
+  pages={1--3},
+  year={2012},
+  organization={IEEE}}
+  
+  @inproceedings{peris2010cryptographically,
+  title={Cryptographically secure pseudo-random bit generator for RFID tags},
+  author={Peris-Lopez, Pedro and San Millan, Enrique and van der Lubbe, Jan CA and Entrena, Luis A},
+  booktitle={Internet Technology and Secured Transactions (ICITST), 2010 International Conference for},
+  pages={1--6},
+  year={2010},
+  organization={IEEE}}
+  
+  @incollection{wu2013hardware,
+  title={Hardware Architecture for the Parallel Generation of Long-Period Random Numbers Using MT Method},
+  author={Wu, Shengfei and Jiang, Jiang and Fu, Yuzhuo},
+  booktitle={Computer Engineering and Technology},
+  pages={8--15},
+  year={2013},
+  publisher={Springer}}
+  
+  @article{echeverria2013high,
+  title={High Performance FPGA-oriented mersenne twister uniform random number generator},
+  author={Echeverr{\'\i}a, Pedro and L{\'o}pez-Vallejo, Marisa},
+  journal={Journal of Signal Processing Systems},
+  volume={71},
+  number={2},
+  pages={105--109},
+  year={2013},
+  publisher={Springer}}
+  
+  @inproceedings{li2012efficient,
+  title={An Efficient Hardware Random Number Generator Based on the MT Method},
+  author={Li, Yuan and Jiang, Jiang and Cheng, Hanqiang and Zhang, Minxuan and Wei, Shaojun},
+  booktitle={Computer and Information Technology (CIT), 2012 IEEE 12th International Conference on},
+  pages={1011--1015},
+  year={2012},
+  organization={IEEE}}
+  
+  @inproceedings{tian2009mersenne,
+  title={Mersenne Twister random number generation on FPGA, CPU and GPU},
+  author={Tian, Xiang and Benkrid, Khaled},
+  booktitle={Adaptive Hardware and Systems, 2009. AHS 2009. NASA/ESA Conference on},
+  pages={460--464},
+  year={2009},
+  organization={IEEE}}
+  
+  @inproceedings{chandrasekaran2008high,
+  title={High performance FPGA implementation of the Mersenne Twister},
+  author={Chandrasekaran, Shrutisagar and Amira, Abbes},
+  booktitle={Electronic Design, Test and Applications, 2008. DELTA 2008. 4th IEEE International Symposium on},
+  pages={482--485},
+  year={2008},
+  organization={IEEE}}
+  
+  @article{bonato2013mersenne,
+  title={A Mersenne Twister Hardware Implementation for the Monte Carlo Localization Algorithm},
+  author={Bonato, Vanderlei and Mazzotti, Bruno F and Fernandes, Marcio Merino and Marques, Eduardo},
+  journal={Journal of Signal Processing Systems},
+  volume={70},
+  number={1},
+  pages={75--85},
+  year={2013},
+  publisher={Springer}}
+  
+  @inproceedings{banks2008fpga,
+  title={FPGA implementation of Pseudo Random Number generators for Monte Carlo methods in quantitative finance},
+  author={Banks, Simon and Beadling, Philip and Ferencz, Andras},
+  booktitle={Reconfigurable Computing and FPGAs, 2008. ReConFig'08. International Conference on},
+  pages={271--276},
+  year={2008},
+  organization={IEEE}}
+  
+@inproceedings{dalal2008fast,
+  title={On the fast generation of long-period pseudorandom number sequences},
+  author={Dalal, Ishaan L and Harwayne-Gidansky, Jared and Stefan, Deian},
+  booktitle={Systems, Applications and Technology Conference, 2008 IEEE Long Island},
+  pages={1--9},
+  year={2008},
+  organization={IEEE}}
+  
+  @INPROCEEDINGS{6614692,
+author={Erkek, E. and Tuncer, T.},
+booktitle={System Science and Engineering (ICSSE), 2013 International Conference on},
+title={The implementation of ASG and SG Random Number Generators},
+year={2013},
+month={July},
+pages={363-367},
+keywords={cryptography;field programmable gate arrays;random number generation;shift registers;statistical testing;ASG random number generators;Altera Cyclone IV board;FPGA shrinking generator;LFSR based random number generation;PRNG techniques;SG random number generators;alternating step generator;cryptographic systems;field programmable gate arrays;linear feedback shift register;pseudo random number generator;Cryptography;Field programmable gate arrays;Generators;Hardware;NIST;Polynomials;Alternating Step Generator;Pseudo Random Number Generator;Shrinking Generator},
+doi={10.1109/ICSSE.2013.6614692},
+ISSN={2325-0909},}
+
+@inproceedings{kang2010fpga,
+  title={FPGA implementation of Gaussian-distributed pseudo-random number generator},
+  author={Kang, Minsu},
+  booktitle={6th International Conference on Digital Content, Multimedia Technology and its Applications},
+  pages={11--13},
+  year={2010}}
+  
+  @inproceedings{katti2009efficient,
+  title={Efficient hardware implementation of a new pseudo-random bit sequence generator},
+  author={Katti, Raj S and Srinivasan, Sudarshan K},
+  booktitle={Circuits and Systems, 2009. ISCAS 2009. IEEE International Symposium on},
+  pages={1393--1396},
+  year={2009},
+  organization={IEEE}}
+  
+  @inproceedings{zarei2010designing,
+  title={Designing a random number generator with novel parallel LFSR substructure for key stream ciphers},
+  author={Zarei Moghadam, I and Rostami, Ali Shokouhi and Tanhatalab, Mohammad Rasoul},
+  booktitle={Computer Design and Applications (ICCDA), 2010 International Conference on},
+  volume={5},
+  pages={V5--598},
+  year={2010},
+  organization={IEEE}}
+  
+  @article{gonzalez2011pseudorandom,
+  title={A pseudorandom number generator based on time-variant recursion of accumulators},
+  author={Gonzalez-Diaz, Victor R and Pareschi, Fabio and Setti, Gianluca and Maloberti, Franco},
+  journal={Circuits and Systems II: Express Briefs, IEEE Transactions on},
+  volume={58},
+  number={9},
+  pages={580--584},
+  year={2011},
+  publisher={IEEE}}
+
+  @inproceedings{thomas2008fpga,
+  title={FPGA-optimised high-quality uniform random number generators},
+  author={Thomas, David Barrie and Luk, Wayne},
+  booktitle={Proceedings of the 16th international ACM/SIGDA symposium on Field programmable gate      arrays},
+  pages={235--244},
+  year={2008},
+  organization={ACM}}
+    
+  @inproceedings{thomas2010fpga,
+  title={FPGA-optimised uniform random number generators using luts and shift registers},
+  author={Thomas, David B and Luk, Wayne},
+  booktitle={Field Programmable Logic and Applications (FPL), 2010 International Conference on},
+  pages={77--82},
+  year={2010},
+  organization={IEEE}}
+
+@inproceedings{thomas2014fpga,
+  title={FPGA Gaussian Random Number Generators with Guaranteed Statistical Accuracy},
+  author={Thomas, David B},
+  booktitle={Field-Programmable Custom Computing Machines (FCCM), 2014 IEEE 22nd Annual International Symposium on},
+  pages={149--156},
+  year={2014},
+  organization={IEEE}}
+  
+  @article{thomas2013lut,
+  title={The LUT-SR family of uniform random number generators for FPGA architectures},
+  author={Thomas, David B and Luk, Wayne},
+  journal={Very Large Scale Integration (VLSI) Systems, IEEE Transactions on},
+  volume={21},
+  number={4},
+  pages={761--770},
+  year={2013},
+  publisher={IEEE}}
+  
+  @article{fang2014fpga,
+  title={FPGA acceleration of a pseudorandom number generator based on chaotic iterations},
+  author={Fang, Xiaole and Wang, Qianxue and Guyeux, Christophe and Bahi, Jacques M},
+  journal={Journal of Information Security and Applications},
+  volume={19},
+  number={1},
+  pages={78--87},
+  year={2014},
+  publisher={Elsevier}}
+  
+ @article{bahi2013fpga,
+  title={FPGA design for pseudorandom number generator based on chaotic iteration used in information  hiding application},
+  author={Bahi, Jacques M and Fang, Xiaole and Guyeux, Christophe and Larger, Laurent},
+  journal={Appl. Math},
+  volume={7},
+  number={6},
+  pages={2175--2188},
+  year={2013},
+  publisher={Citeseer}}
+  
+  @incollection{tkacik2003hardware,
+  title={A hardware random number generator},
+  author={Tkacik, Thomas E},
+  booktitle={Cryptographic Hardware and Embedded Systems-CHES 2002},
+  pages={450--453},
+  year={2003},
+  publisher={Springer}}
+  
\ No newline at end of file

diff --git a/References.bib.bak b/References.bib.bak
new file mode 100644 (file)
index 0000000..ca2bf9f
--- /dev/null
+++ b/References.bib.bak
@@ -0,0 +1,421 @@
+@inproceedings{dabal2011chaos,
+  title={A chaos-based pseudo-random bit generator implemented in FPGA device},
+  author={Dabal, Pawel and Pelka, Ryszard},
+  booktitle={Design and Diagnostics of Electronic Circuits \& Systems (DDECS), 2011 IEEE 14th International Symposium on},
+  pages={151--154},
+  year={2011},
+  organization={IEEE}}
+
+@inproceedings{dabal2012fpga,
+  title={FPGA implementation of chaotic pseudo-random bit generators},
+  author={Dabal, Pawel and Pelka, Ryszard},
+  booktitle={Mixed Design of Integrated Circuits and Systems (MIXDES), 2012 Proceedings of the 19th International Conference},
+  pages={260--264},
+  year={2012},
+  organization={IEEE}}
+  
+@INPROCEEDINGS{6868789,
+author={Dabal, Pawel and Pelka, Ryszard},
+booktitle={Design and Diagnostics of Electronic Circuits Systems, 17th International Symposium on},
+title={A study on fast pipelined pseudo-random number generator based on chaotic logistic map},
+year={2014},
+month={April},
+pages={195-200},
+keywords={chaotic systems;logistic map;pseudo-random bit generator;system-on-chip},
+doi={10.1109/DDECS.2014.6868789},}
+
+@article{merahcoupling,
+  title={Coupling Two Chaotic Systems in Order to Increasing the Security of a Communication System-Study and Real Time FPGA Implementation},
+  author={Merah, Lahcene and ALI-PACHA, Adda and SAID, Naima HADJ}}
+  
+  @inproceedings{hariprasad2013fpga,
+  title={FPGA Implementation of A Cryptography Technology Using Pseudo Random Number Generator},
+  author={Hariprasad, NagaDeepa and others},
+  booktitle={International Journal of Engineering Research and Technology},
+  volume={2},
+  number={11 (November-2013)},
+  year={2013},
+  organization={ESRSA Publications}}
+  
+@INPROCEEDINGS{5554284,
+author={Ziqi Zhu and Hu, Hanping},
+booktitle={Intelligent Control and Automation (WCICA), 2010 8th World Congress on},
+title={A dynamic nonlinear transform arithmetic for improving the properties chaos-based PRNG},
+year={2010},
+month={July},
+pages={7055-7060},
+keywords={field programmable gate arrays;group theory;information theory;random number generation;FPGA platform;chaos-based PRNG;chaotic system;cycle length;dynamic nonlinear transform arithmetic;group theory;information theory;pseudorandom number generator;Books;Chaos;Cryptography;Entropy;Generators;Testing;Transforms;Chaos;Nonlinear systems;Pseudorandom sequences},
+doi={10.1109/WCICA.2010.5554284},}
+
+@inproceedings{mao2006design,
+  title={Design and FPGA implementation of a pseudo-random bit sequence generator using spatiotemporal chaos},
+  author={Mao, Yaobin and Cao, Liu and Liu, Wenbo},
+  booktitle={Communications, Circuits and Systems Proceedings, 2006 International Conference on},
+  volume={3},
+  pages={2114--2118},
+  year={2006},
+  organization={IEEE}}
+  
+@inproceedings{mansingka2013fibonacci,
+  title={Fibonacci-Based Hardware Post-Processing for Non-Autonomous Signum Hyperchaotic System},
+  author={Mansingka, Abhinav S and Barakat, Mohamed L and Zidan, M Affan and Radwan, Ahmed G and Salama, Khaled N},
+  booktitle={IT Convergence and Security (ICITCS), 2013 International Conference on},
+  pages={1--4},
+  year={2013},
+  organization={IEEE}}
+  
+  @incollection{fischer2003true,
+  title={True random number generator embedded in reconfigurable hardware},
+  author={Fischer, Viktor and Drutarovsk{\`y}, Milo{\v{s}}},
+  booktitle={Cryptographic Hardware and Embedded Systems-CHES 2002},
+  pages={415--430},
+  year={2003},
+  publisher={Springer}}
+  
+  @inproceedings{vsimka2005embedded,
+  title={Embedded true random number generator in actel FPGAs},
+  author={{\v{S}}imka, Martin and Drutarovsk{\`y}, Milo{\v{s}} and Fischer, Viktor},
+  booktitle={Workshop on Cryptographic Advances in Secure Hardware--CRASH},
+  pages={6--7},
+  year={2005}}
+  
+  @article{simka2011testing,
+  title={Testing of PLL-based True Random Number Generator in ChangingWorking Conditions},
+  author={Simka, Martin and Drutarovsk{\`y}, Milos and Fischer, Viktor and others},
+  journal={RADIOENGINEERING,},
+  volume={20},
+  pages={94--101},
+  year={2011}}
+  
+  @inproceedings{varchola2008hardware,
+  title={Hardware platform for testing performance of TRNGs embedded in actel fusion FPGA},
+  author={Varchola, Michal and Drutarovsky, Milos and Fouquet, Robert and Fischer, Viktor},
+  booktitle={Radioelektronika, 2008 18th International Conference},
+  pages={1--4},
+  year={2008},
+  organization={IEEE}}
+  
+  @inproceedings{kohlbrenner2004embedded,
+  title={An embedded true random number generator for FPGAs},
+  author={Kohlbrenner, Paul and Gaj, Kris},
+  booktitle={Proceedings of the 2004 ACM/SIGDA 12th international symposium on Field programmable gate arrays},
+  pages={71--78},
+  year={2004},
+  organization={ACM}}
+  
+  @article{klein2009design,
+  title={Design and Implementation of a High Quality and High Throughput TRNG in FPGA},
+  author={Klein, Cristian and Cret, Octavian and Suciu, Alin},
+  journal={arXiv preprint arXiv:0906.4762},
+  year={2009}}
+  
+  @inproceedings{tsoi2003compact,
+  title={Compact FPGA-based true and pseudo random number generators},
+  author={Tsoi, Kuen Hung and Leung, KH and Leong, Philip Heng Wai},
+  booktitle={Field-Programmable Custom Computing Machines, 2003. FCCM 2003. 11th Annual IEEE Symposium on},
+  pages={51--61},
+  year={2003},
+  organization={IEEE}}
+  
+  @book{dichtl2007high,
+  title={High-speed true random number generation with logic gates only},
+  author={Dichtl, Markus and Goli{\'c}, Jovan Dj},
+  year={2007},
+  publisher={Springer}}
+  
+  @inproceedings{cherkaoui2013self,
+  title={A Self-timed Ring Based True Random Number Generator},
+  author={Cherkaoui, Abdelkarim and Fischer, Viktor and Aubert, Alain and Fesquet, Laurent},
+  booktitle={Asynchronous Circuits and Systems (ASYNC), 2013 IEEE 19th International Symposium on},
+  pages={99--106},
+  year={2013},
+  organization={IEEE}}
+  
+  @inproceedings{cherkaoui2012comparison,
+  title={Comparison of self-timed ring and inverter ring oscillators as entropy sources in FPGAs},
+  author={Cherkaoui, Abdelkarim and Fischer, Viktor and Aubert, Alain and Fesquet, Laurent},
+  booktitle={Design, Automation \& Test in Europe Conference \& Exhibition (DATE), 2012},
+  pages={1325--1330},
+  year={2012},
+  organization={IEEE}}
+  
+  @incollection{vasyltsov2008fast,
+  title={Fast digital TRNG based on metastable ring oscillator},
+  author={Vasyltsov, Ihor and Hambardzumyan, Eduard and Kim, Young-Sik and Karpinskyy, Bohdan},
+  booktitle={Cryptographic Hardware and Embedded Systems--CHES 2008},
+  pages={164--180},
+  year={2008},
+  publisher={Springer}}
+  
+  @incollection{majzoobi2011fpga,
+  title={FPGA-based true random number generation using circuit metastability with adaptive feedback control},
+  author={Majzoobi, Mehrdad and Koushanfar, Farinaz and Devadas, Srinivas},
+  booktitle={Cryptographic Hardware and Embedded Systems--CHES 2011},
+  pages={17--32},
+  year={2011},
+  publisher={Springer}}
+  
+  @article{lee2014metastability,
+  title={Metastability-based Feedback Method for Enhancing FPGA-based TRNG.},
+  author={Lee, Donggeon and Seo, Hwajeong and Kim, Howon},
+  journal={International Journal of Multimedia \& Ubiquitous Engineering},
+  volume={9},
+  number={3},
+  year={2014}}
+  
+  @inproceedings{kotoulas20061,
+  title={1-d cellular automaton for pseudorandom number generation and its reconfigurable hardware implementation},
+  author={Kotoulas, Leonidas and Tsarouchis, Demetrios and Sirakoulis, Georgios Ch and Andreadis, Ioannis},
+  booktitle={Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006 IEEE International Symposium on},
+  pages={4--pp},
+  year={2006},
+  organization={IEEE}}
+  
+  @inproceedings{anghelescu2007vlsi,
+  title={VLSI implementation of high-speed cellular automata encryption algorithm},
+  author={Anghelescu, Petre and Sofron, Emil and Ionita, Silviu},
+  booktitle={Semiconductor Conference, 2007. CAS 2007. International},
+  volume={2},
+  pages={509--512},
+  year={2007},
+  organization={IEEE}}
+  
+  @inproceedings{raut2013stream,
+  title={Stream cipher design using cellular automata implemented on FPGAs},
+  author={Raut, Lakshman and Hoe, David HK},
+  booktitle={System Theory (SSST), 2013 45th Southeastern Symposium on},
+  pages={146--149},
+  year={2013},
+  organization={IEEE}}
+  
+  @inproceedings{dogaru2010algebraic,
+  title={Algebraic normal form for rapid prototyping of elementary hybrid cellular automata in FPGA},
+  author={Dogaru, Ioana and Dogaru, Radu},
+  booktitle={Electrical and Electronics Engineering (ISEEE), 2010 3rd International Symposium on},
+  pages={277--280},
+  year={2010},
+  organization={IEEE}}
+  
+  @inproceedings{ioana2014fpga,
+  title={FPGA implementation and evaluation of two cryptographically secure hybrid cellular automata},
+  author={Ioana, Dogaru and Radu, Dogaru},
+  booktitle={Communications (COMM), 2014 10th International Conference on},
+  pages={1--4},
+  year={2014},
+  organization={IEEE}}
+  
+  @inproceedings{cerda2012efficient,
+  title={An efficient FPGA random number generator using LFSRs and cellular automata},
+  author={Cerda, Juan C and Martinez, Chris D and Comer, Jonathan M and Hoe, David HK},
+  booktitle={Circuits and Systems (MWSCAS), 2012 IEEE 55th International Midwest Symposium on},
+  pages={912--915},
+  year={2012},
+  organization={IEEE}}
+  
+  @inproceedings{comer2012random,
+  title={Random number generators using Cellular Automata implemented on FPGAs},
+  author={Comer, Jonathan M and Cerda, Juan C and Martinez, Chris D and Hoe, David HK},
+  booktitle={System Theory (SSST), 2012 44th Southeastern Symposium on},
+  pages={67--72},
+  year={2012},
+  organization={IEEE}}
+  
+  @inproceedings{guan2003pseudorandom,
+  title={Pseudorandom Number Generator--The Self Programmable Cellular Automata},
+  author={Guan, Sheng-Uei and Tan, Syn Kiat},
+  booktitle={Knowledge-Based Intelligent Information and Engineering Systems},
+  pages={1230--1235},
+  year={2003},
+  organization={Springer}}
+  
+  @inproceedings{sewak2012fpga,
+  title={FPGA implementation of 16 bit BBS and LFSR PN sequence generator: A comparative study},
+  author={Sewak, Khushboo and Rajput, Praveena and Panda, Amit Kumar},
+  booktitle={Electrical, Electronics and Computer Science (SCEECS), 2012 IEEE Students' Conference on},
+  pages={1--3},
+  year={2012},
+  organization={IEEE}}
+  
+  @inproceedings{peris2010cryptographically,
+  title={Cryptographically secure pseudo-random bit generator for RFID tags},
+  author={Peris-Lopez, Pedro and San Millan, Enrique and van der Lubbe, Jan CA and Entrena, Luis A},
+  booktitle={Internet Technology and Secured Transactions (ICITST), 2010 International Conference for},
+  pages={1--6},
+  year={2010},
+  organization={IEEE}}
+  
+  @incollection{wu2013hardware,
+  title={Hardware Architecture for the Parallel Generation of Long-Period Random Numbers Using MT Method},
+  author={Wu, Shengfei and Jiang, Jiang and Fu, Yuzhuo},
+  booktitle={Computer Engineering and Technology},
+  pages={8--15},
+  year={2013},
+  publisher={Springer}}
+  
+  @article{echeverria2013high,
+  title={High Performance FPGA-oriented mersenne twister uniform random number generator},
+  author={Echeverr{\'\i}a, Pedro and L{\'o}pez-Vallejo, Marisa},
+  journal={Journal of Signal Processing Systems},
+  volume={71},
+  number={2},
+  pages={105--109},
+  year={2013},
+  publisher={Springer}}
+  
+  @inproceedings{li2012efficient,
+  title={An Efficient Hardware Random Number Generator Based on the MT Method},
+  author={Li, Yuan and Jiang, Jiang and Cheng, Hanqiang and Zhang, Minxuan and Wei, Shaojun},
+  booktitle={Computer and Information Technology (CIT), 2012 IEEE 12th International Conference on},
+  pages={1011--1015},
+  year={2012},
+  organization={IEEE}}
+  
+  @inproceedings{tian2009mersenne,
+  title={Mersenne Twister random number generation on FPGA, CPU and GPU},
+  author={Tian, Xiang and Benkrid, Khaled},
+  booktitle={Adaptive Hardware and Systems, 2009. AHS 2009. NASA/ESA Conference on},
+  pages={460--464},
+  year={2009},
+  organization={IEEE}}
+  
+  @inproceedings{chandrasekaran2008high,
+  title={High performance FPGA implementation of the Mersenne Twister},
+  author={Chandrasekaran, Shrutisagar and Amira, Abbes},
+  booktitle={Electronic Design, Test and Applications, 2008. DELTA 2008. 4th IEEE International Symposium on},
+  pages={482--485},
+  year={2008},
+  organization={IEEE}}
+  
+  @article{bonato2013mersenne,
+  title={A Mersenne Twister Hardware Implementation for the Monte Carlo Localization Algorithm},
+  author={Bonato, Vanderlei and Mazzotti, Bruno F and Fernandes, Marcio Merino and Marques, Eduardo},
+  journal={Journal of Signal Processing Systems},
+  volume={70},
+  number={1},
+  pages={75--85},
+  year={2013},
+  publisher={Springer}}
+  
+  @inproceedings{banks2008fpga,
+  title={FPGA implementation of Pseudo Random Number generators for Monte Carlo methods in quantitative finance},
+  author={Banks, Simon and Beadling, Philip and Ferencz, Andras},
+  booktitle={Reconfigurable Computing and FPGAs, 2008. ReConFig'08. International Conference on},
+  pages={271--276},
+  year={2008},
+  organization={IEEE}}
+  
+@inproceedings{dalal2008fast,
+  title={On the fast generation of long-period pseudorandom number sequences},
+  author={Dalal, Ishaan L and Harwayne-Gidansky, Jared and Stefan, Deian},
+  booktitle={Systems, Applications and Technology Conference, 2008 IEEE Long Island},
+  pages={1--9},
+  year={2008},
+  organization={IEEE}}
+  
+  @INPROCEEDINGS{6614692,
+author={Erkek, E. and Tuncer, T.},
+booktitle={System Science and Engineering (ICSSE), 2013 International Conference on},
+title={The implementation of ASG and SG Random Number Generators},
+year={2013},
+month={July},
+pages={363-367},
+keywords={cryptography;field programmable gate arrays;random number generation;shift registers;statistical testing;ASG random number generators;Altera Cyclone IV board;FPGA shrinking generator;LFSR based random number generation;PRNG techniques;SG random number generators;alternating step generator;cryptographic systems;field programmable gate arrays;linear feedback shift register;pseudo random number generator;Cryptography;Field programmable gate arrays;Generators;Hardware;NIST;Polynomials;Alternating Step Generator;Pseudo Random Number Generator;Shrinking Generator},
+doi={10.1109/ICSSE.2013.6614692},
+ISSN={2325-0909},}
+
+@inproceedings{kang2010fpga,
+  title={FPGA implementation of Gaussian-distributed pseudo-random number generator},
+  author={Kang, Minsu},
+  booktitle={6th International Conference on Digital Content, Multimedia Technology and its Applications},
+  pages={11--13},
+  year={2010}}
+  
+  @inproceedings{katti2009efficient,
+  title={Efficient hardware implementation of a new pseudo-random bit sequence generator},
+  author={Katti, Raj S and Srinivasan, Sudarshan K},
+  booktitle={Circuits and Systems, 2009. ISCAS 2009. IEEE International Symposium on},
+  pages={1393--1396},
+  year={2009},
+  organization={IEEE}}
+  
+  @inproceedings{zarei2010designing,
+  title={Designing a random number generator with novel parallel LFSR substructure for key stream ciphers},
+  author={Zarei Moghadam, I and Rostami, Ali Shokouhi and Tanhatalab, Mohammad Rasoul},
+  booktitle={Computer Design and Applications (ICCDA), 2010 International Conference on},
+  volume={5},
+  pages={V5--598},
+  year={2010},
+  organization={IEEE}}
+  
+  @article{gonzalez2011pseudorandom,
+  title={A pseudorandom number generator based on time-variant recursion of accumulators},
+  author={Gonzalez-Diaz, Victor R and Pareschi, Fabio and Setti, Gianluca and Maloberti, Franco},
+  journal={Circuits and Systems II: Express Briefs, IEEE Transactions on},
+  volume={58},
+  number={9},
+  pages={580--584},
+  year={2011},
+  publisher={IEEE}}
+
+  @inproceedings{thomas2008fpga,
+  title={FPGA-optimised high-quality uniform random number generators},
+  author={Thomas, David Barrie and Luk, Wayne},
+  booktitle={Proceedings of the 16th international ACM/SIGDA symposium on Field programmable gate      arrays},
+  pages={235--244},
+  year={2008},
+  organization={ACM}}
+    
+  @inproceedings{thomas2010fpga,
+  title={FPGA-optimised uniform random number generators using luts and shift registers},
+  author={Thomas, David B and Luk, Wayne},
+  booktitle={Field Programmable Logic and Applications (FPL), 2010 International Conference on},
+  pages={77--82},
+  year={2010},
+  organization={IEEE}}
+
+@inproceedings{thomas2014fpga,
+  title={FPGA Gaussian Random Number Generators with Guaranteed Statistical Accuracy},
+  author={Thomas, David B},
+  booktitle={Field-Programmable Custom Computing Machines (FCCM), 2014 IEEE 22nd Annual International Symposium on},
+  pages={149--156},
+  year={2014},
+  organization={IEEE}}
+  
+  @article{thomas2013lut,
+  title={The LUT-SR family of uniform random number generators for FPGA architectures},
+  author={Thomas, David B and Luk, Wayne},
+  journal={Very Large Scale Integration (VLSI) Systems, IEEE Transactions on},
+  volume={21},
+  number={4},
+  pages={761--770},
+  year={2013},
+  publisher={IEEE}}
+  
+  @article{fang2014fpga,
+  title={FPGA acceleration of a pseudorandom number generator based on chaotic iterations},
+  author={Fang, Xiaole and Wang, Qianxue and Guyeux, Christophe and Bahi, Jacques M},
+  journal={Journal of Information Security and Applications},
+  volume={19},
+  number={1},
+  pages={78--87},
+  year={2014},
+  publisher={Elsevier}}
+  
+ @article{bahi2013fpga,
+  title={FPGA design for pseudorandom number generator based on chaotic iteration used in information  hiding application},
+  author={Bahi, Jacques M and Fang, Xiaole and Guyeux, Christophe and Larger, Laurent},
+  journal={Appl. Math},
+  volume={7},
+  number={6},
+  pages={2175--2188},
+  year={2013},
+  publisher={Citeseer}}
+  
+  @incollection{tkacik2003hardware,
+  title={A hardware random number generator},
+  author={Tkacik, Thomas E},
+  booktitle={Cryptographic Hardware and Embedded Systems-CHES 2002},
+  pages={450--453},
+  year={2003},
+  publisher={Springer}}
+  
\ No newline at end of file

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+90 rotate\r
+1 sg\r
+0 1047 1650 0 0 -1047 848 3123 4 MP\r
+PP\r
+-1650 0 0 1047 1650 0 0 -1047 848 3123 5 MP stroke\r
+4 w\r
+DO\r
+SO\r
+6 w\r
+0 sg\r
+ 848 2076 mt 2498 2076 L\r
+ 848 3123 mt 2498 3123 L\r
+2498 3123 mt 2498 2076 L\r
+ 848 3123 mt  848 2076 L\r
+ 848 3123 mt 2498 3123 L\r
+ 848 3123 mt  848 2076 L\r
+1055 3123 mt 1055 3106 L\r
+1055 2076 mt 1055 2092 L\r
+1261 3123 mt 1261 3106 L\r
+1261 2076 mt 1261 2092 L\r
+1467 3123 mt 1467 3106 L\r
+1467 2076 mt 1467 2092 L\r
+1673 3123 mt 1673 3106 L\r
+1673 2076 mt 1673 2092 L\r
+1879 3123 mt 1879 3106 L\r
+1879 2076 mt 1879 2092 L\r
+2085 3123 mt 2085 3106 L\r
+2085 2076 mt 2085 2092 L\r
+2291 3123 mt 2291 3106 L\r
+2291 2076 mt 2291 2092 L\r
+ 848 3123 mt  865 3123 L\r
+2498 3123 mt 2481 3123 L\r
+ 748 3167 mt \r
+(0) s\r
+ 848 2774 mt  865 2774 L\r
+2498 2774 mt 2481 2774 L\r
+ 548 2818 mt \r
+(5000) s\r
+ 848 2425 mt  865 2425 L\r
+2498 2425 mt 2481 2425 L\r
+ 481 2469 mt \r
+(10000) s\r
+ 848 2076 mt  865 2076 L\r
+2498 2076 mt 2481 2076 L\r
+ 481 2120 mt \r
+(15000) s\r
+ 848 2076 mt 2498 2076 L\r
+ 848 3123 mt 2498 3123 L\r
+2498 3123 mt 2498 2076 L\r
+ 848 3123 mt  848 2076 L\r
+gs 849 2076 1650 1048 rc\r
+c8\r
+0 584 165 0 0 -584 972 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 584 165 0 0 -584 972 3123 5 MP stroke\r
+c8\r
+0 130 165 0 0 -130 1178 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 130 165 0 0 -130 1178 3123 5 MP stroke\r
+c8\r
+0 409 165 0 0 -409 1384 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 409 165 0 0 -409 1384 3123 5 MP stroke\r
+c8\r
+0 782 164 0 0 -782 1591 3123 4 MP\r
+PP\r
+0 sg\r
+-164 0 0 782 164 0 0 -782 1591 3123 5 MP stroke\r
+c8\r
+0 57 165 0 0 -57 1797 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 57 165 0 0 -57 1797 3123 5 MP stroke\r
+c8\r
+0 36 165 0 0 -36 2003 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 36 165 0 0 -36 2003 3123 5 MP stroke\r
+c8\r
+0 940 165 0 0 -940 2209 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 940 165 0 0 -940 2209 3123 5 MP stroke\r
+1649 0 849 3123 2 MP stroke\r
+gr\r
+\r
+1211 1950 mt \r
+(data) s\r
+%%IncludeResource: font Helvetica\r
+/Helvetica /WindowsLatin1Encoding 96 FMSR\r
+\r
+1444 2010 mt \r
+(T) s\r
+%%IncludeResource: font Helvetica\r
+/Helvetica /WindowsLatin1Encoding 120 FMSR\r
+\r
+1502 1950 mt \r
+(RNG) s\r
+ 813 3540 mt  -45 rotate\r
+(CH-21) s\r
+45 rotate\r
+ 976 3540 mt  -45 rotate\r
+(CH-22) s\r
+45 rotate\r
+1138 3540 mt  -45 rotate\r
+(CH-23) s\r
+45 rotate\r
+1347 3494 mt  -45 rotate\r
+(CH-3) s\r
+45 rotate\r
+1510 3494 mt  -45 rotate\r
+(CH-4) s\r
+45 rotate\r
+1672 3494 mt  -45 rotate\r
+(CH-7) s\r
+45 rotate\r
+1835 3494 mt  -45 rotate\r
+(CH-8) s\r
+45 rotate\r
+ 276 3083 mt  -90 rotate\r
+(Throughput Mbps) s\r
+90 rotate\r
+1 sg\r
+0 1047 1649 0 0 -1047 3725 3123 4 MP\r
+PP\r
+-1649 0 0 1047 1649 0 0 -1047 3725 3123 5 MP stroke\r
+4 w\r
+DO\r
+SO\r
+6 w\r
+0 sg\r
+3725 2076 mt 5374 2076 L\r
+3725 3123 mt 5374 3123 L\r
+5374 3123 mt 5374 2076 L\r
+3725 3123 mt 3725 2076 L\r
+3725 3123 mt 5374 3123 L\r
+3725 3123 mt 3725 2076 L\r
+3931 3123 mt 3931 3106 L\r
+3931 2076 mt 3931 2092 L\r
+4137 3123 mt 4137 3106 L\r
+4137 2076 mt 4137 2092 L\r
+4343 3123 mt 4343 3106 L\r
+4343 2076 mt 4343 2092 L\r
+4549 3123 mt 4549 3106 L\r
+4549 2076 mt 4549 2092 L\r
+4755 3123 mt 4755 3106 L\r
+4755 2076 mt 4755 2092 L\r
+4961 3123 mt 4961 3106 L\r
+4961 2076 mt 4961 2092 L\r
+5167 3123 mt 5167 3106 L\r
+5167 2076 mt 5167 2092 L\r
+3725 3123 mt 3741 3123 L\r
+5374 3123 mt 5357 3123 L\r
+3624 3167 mt \r
+(0) s\r
+3725 2774 mt 3741 2774 L\r
+5374 2774 mt 5357 2774 L\r
+3424 2818 mt \r
+(5000) s\r
+3725 2425 mt 3741 2425 L\r
+5374 2425 mt 5357 2425 L\r
+3357 2469 mt \r
+(10000) s\r
+3725 2076 mt 3741 2076 L\r
+5374 2076 mt 5357 2076 L\r
+3357 2120 mt \r
+(15000) s\r
+3725 2076 mt 5374 2076 L\r
+3725 3123 mt 5374 3123 L\r
+5374 3123 mt 5374 2076 L\r
+3725 3123 mt 3725 2076 L\r
+gs 3725 2076 1650 1048 rc\r
+c8\r
+0 584 165 0 0 -584 3848 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 584 165 0 0 -584 3848 3123 5 MP stroke\r
+c8\r
+0 130 165 0 0 -130 4054 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 130 165 0 0 -130 4054 3123 5 MP stroke\r
+c8\r
+0 409 165 0 0 -409 4260 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 409 165 0 0 -409 4260 3123 5 MP stroke\r
+c8\r
+0 782 164 0 0 -782 4467 3123 4 MP\r
+PP\r
+0 sg\r
+-164 0 0 782 164 0 0 -782 4467 3123 5 MP stroke\r
+c8\r
+0 57 165 0 0 -57 4673 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 57 165 0 0 -57 4673 3123 5 MP stroke\r
+c8\r
+0 36 165 0 0 -36 4879 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 36 165 0 0 -36 4879 3123 5 MP stroke\r
+c8\r
+0 940 165 0 0 -940 5085 3123 4 MP\r
+PP\r
+0 sg\r
+-165 0 0 940 165 0 0 -940 5085 3123 5 MP stroke\r
+1649 0 3725 3123 2 MP stroke\r
+gr\r
+\r
+4051 1950 mt \r
+(data) s\r
+%%IncludeResource: font Helvetica\r
+/Helvetica /WindowsLatin1Encoding 96 FMSR\r
+\r
+4284 2010 mt \r
+(C) s\r
+%%IncludeResource: font Helvetica\r
+/Helvetica /WindowsLatin1Encoding 120 FMSR\r
+\r
+4353 1950 mt \r
+(haotic) s\r
+3688 3540 mt  -45 rotate\r
+(CH-21) s\r
+45 rotate\r
+3850 3540 mt  -45 rotate\r
+(CH-22) s\r
+45 rotate\r
+4011 3540 mt  -45 rotate\r
+(CH-23) s\r
+45 rotate\r
+4219 3494 mt  -45 rotate\r
+(CH-3) s\r
+45 rotate\r
+4392 3494 mt  -45 rotate\r
+(CH-4) s\r
+45 rotate\r
+4553 3494 mt  -45 rotate\r
+(CH-7) s\r
+45 rotate\r
+4715 3494 mt  -45 rotate\r
+(CH-8) s\r
+45 rotate\r
+3156 3083 mt  -90 rotate\r
+(Throughput Mbps) s\r
+90 rotate\r
+\r
+end %%Color Dict\r
+\r
+eplot\r
+%%EndObject\r
+\r
+epage\r
+end\r
+\r
+showpage\r
+\r
+%%Trailer\r
+%%EOF\r

diff --git a/aliascnt.sty b/aliascnt.sty
new file mode 100644 (file)
index 0000000..452aa0e
--- /dev/null
+++ b/aliascnt.sty
@@ -0,0 +1,88 @@
+%%\r
+%% This is file `aliascnt.sty',\r
+%% generated with the docstrip utility.\r
+%%\r
+%% The original source files were:\r
+%%\r
+%% aliascnt.dtx  (with options: `package')\r
+%% \r
+%% This is a generated file.\r
+%% \r
+%% Project: aliascnt\r
+%% Version: 2009/09/08 v1.3\r
+%% \r
+%% Copyright (C) 2006, 2009 by\r
+%%    Heiko Oberdiek <heiko.oberdiek at googlemail.com>\r
+%% \r
+%% This work may be distributed and/or modified under the\r
+%% conditions of the LaTeX Project Public License, either\r
+%% version 1.3c of this license or (at your option) any later\r
+%% version. This version of this license is in\r
+%%    http://www.latex-project.org/lppl/lppl-1-3c.txt\r
+%% and the latest version of this license is in\r
+%%    http://www.latex-project.org/lppl.txt\r
+%% and version 1.3 or later is part of all distributions of\r
+%% LaTeX version 2005/12/01 or later.\r
+%% \r
+%% This work has the LPPL maintenance status "maintained".\r
+%% \r
+%% This Current Maintainer of this work is Heiko Oberdiek.\r
+%% \r
+%% This work consists of the main source file aliascnt.dtx\r
+%% and the derived files\r
+%%    aliascnt.sty, aliascnt.pdf, aliascnt.ins, aliascnt.drv.\r
+%% \r
+\NeedsTeXFormat{LaTeX2e}\r
+\ProvidesPackage{aliascnt}%\r
+  [2009/09/08 v1.3 Alias counter (HO)]%\r
+\newcommand*{\newaliascnt}[2]{%\r
+  \begingroup\r
+    \def\AC@glet##1{%\r
+      \global\expandafter\let\csname##1#1\expandafter\endcsname\r
+        \csname##1#2\endcsname\r
+    }%\r
+    \@ifundefined{c@#2}{%\r
+      \@nocounterr{#2}%\r
+    }{%\r
+      \expandafter\@ifdefinable\csname c@#1\endcsname{%\r
+        \AC@glet{c@}%\r
+        \AC@glet{the}%\r
+        \AC@glet{theH}%\r
+        \AC@glet{p@}%\r
+        \expandafter\gdef\csname AC@cnt@#1\endcsname{#2}%\r
+        \expandafter\gdef\csname cl@#1\expandafter\endcsname\r
+        \expandafter{\csname cl@#2\endcsname}%\r
+      }%\r
+    }%\r
+  \endgroup\r
+}\r
+\newcommand*{\aliascntresetthe}[1]{%\r
+  \@ifundefined{AC@cnt@#1}{%\r
+    \PackageError{aliascnt}{%\r
+      `#1' is not an alias counter%\r
+    }\@ehc\r
+  }{%\r
+    \expandafter\let\csname the#1\expandafter\endcsname\r
+      \csname the\csname AC@cnt@#1\endcsname\endcsname\r
+  }%\r
+}\r
+\newcommand*{\AC@findrootcnt}[1]{%\r
+  \@ifundefined{AC@cnt@#1}{%\r
+    #1%\r
+  }{%\r
+    \expandafter\AC@findrootcnt\csname AC@cnt@#1\endcsname\r
+  }%\r
+}\r
+\def\AC@patch#1{%\r
+  \expandafter\let\csname AC@org@#1reset\expandafter\endcsname\r
+    \csname @#1reset\endcsname\r
+  \expandafter\def\csname @#1reset\endcsname##1##2{%\r
+    \csname AC@org@#1reset\endcsname{##1}{\AC@findrootcnt{##2}}%\r
+  }%\r
+}\r
+\RequirePackage{remreset}\r
+\AC@patch{addto}\r
+\AC@patch{removefrom}\r
+\endinput\r
+%%\r
+%% End of file `aliascnt.sty'.\r

diff --git a/booktabs.dtx b/booktabs.dtx
new file mode 100644 (file)
index 0000000..5b0e32c
--- /dev/null
+++ b/booktabs.dtx
@@ -0,0 +1,1052 @@
+% \iffalse (meta-comment)
+% -----------------------------------------------------------------
+% File:       booktabs.dtx
+% Author:     Simon Fear
+% Maintainer: Danie Els (dnjels@sun.ac.za)
+%
+% This file is part of the booktabs package for publication
+% quality tables for LaTeX
+%
+%       Copyright (C) 1995--2005 Simon Fear
+%
+% This program is free software; you can redistribute it and/or
+% modify it under the terms of the GNU General Public License as
+% published by the Free Software Foundation; either version 2 of
+% the License, or (at your option) any later version.
+%
+% This program is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public
+% License along with this program; if not, write to the Free
+% Software Foundation, Inc., 59 Temple Place, Suite 330, Boston,
+% MA 02111-1307 USA
+%
+% -----------------------------------------------------------------
+% This file contains the documentations and source code for the
+% booktabs package for use with LaTeX2e. See the file 'README'
+% for a list of all the files as well as directions for the
+% installation of this package.
+% -----------------------------------------------------------------
+% \fi
+%
+% \iffalse
+%<*driver>
+\ProvidesFile{booktabs.dtx}
+%</driver>
+%<package>\NeedsTeXFormat{LaTeX2e}[1999/12/01]
+%<package>\ProvidesPackage{booktabs}
+%<*package>
+    [2005/04/14 v1.61803 publication quality tables]
+%</package>
+%
+%<*driver>
+\documentclass{ltxdoc}
+  \usepackage{booktabs}[2005/04/14]
+  \EnableCrossrefs
+  \CodelineIndex
+  \RecordChanges
+  \setlength\hfuzz{15pt}
+  \hbadness=7000
+  \MakeShortVerb{\=}
+  \MakeShortVerb{\"}
+\begin{document}
+  \DocInput{booktabs.dtx}
+  \PrintChanges
+  \PrintIndex
+\end{document}
+%</driver>
+% \fi
+%
+% \CheckSum{484}
+% \CharacterTable
+%    {Upper-case    \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
+%     Lower-case    \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
+%     Digits        \0\1\2\3\4\5\6\7\8\9
+%     Exclamation   \!     Double quote  \"     Hash (number) \#
+%     Dollar        \$     Percent       \%     Ampersand     \&
+%     Acute accent  \'     Left paren    \(     Right paren   \)
+%     Asterisk      \*     Plus          \+     Comma         \,
+%     Minus         \-     Point         \.     Solidus       \/
+%     Colon         \:     Semicolon     \;     Less than     \<
+%     Equals        \=     Greater than  \>     Question mark \?
+%     Commercial at \@     Left bracket  \[     Backslash     \\
+%     Right bracket \]     Circumflex    \^     Underscore    \_
+%     Grave accent  \`     Left brace    \{     Vertical bar  \|
+%     Right brace   \}     Tilde         \~}
+%
+%
+%
+% \DeleteShortVerb{\|}
+% \GetFileInfo{booktabs.dtx}
+%
+%  \title{Publication quality tables in \LaTeX%
+%        \thanks{This file has version number \fileversion,
+%                (converging to phi, the golden ratio),
+%                last revised \filedate.}}
+% \author{Simon Fear\\300A route de Meyrin\\Meyrin\\Switzerland}
+% \date{Printed \today}
+%
+% \maketitle
+%
+%
+% \begin{abstract}
+% This article describes some additional commands to enhance
+% the quality of tables in \LaTeX. Guidelines are given as
+% to what constitutes a good table in this context. The 2000
+% release (Version 1.61) of the =booktabs= package, described
+% herein, adds some enhancements to the 1995 release (Version 1.00),
+% most notably =longtable= compatibility.
+% Releases (Versions 1.618, 1.6180 and 1.61803) are
+% only bug patches and support for the =colortbl= package.\footnote{By Danie Els
+%  (\texttt{dnjels@sun.ac.za}) in the absence of the author.}
+% \end{abstract}
+%
+% \bigskip
+%
+% \section{Introduction}
+%
+% The routines described below are to enable the easy production
+% of tables such as should appear in published scientific books and
+% journals. What distinguishes these from plain
+% \LaTeX{} tables is the default use of additional space above and below rules,
+% and rules of varying `thickness'. What further distinguishes them from
+% the tables many people {\em do} produce using \LaTeX{} is the
+% absence of vertical rules and double rules.
+%
+% I must draw a clear
+% distinction between what I call here a {\em formal table},
+% which is a set of values in labelled columns, as distinct from
+% what I will call a {\em tableau}. The latter is the kind of thing
+% illustrated in the \LaTeX{} manual, and increasingly
+% common as the output of
+% many database management systems; it will probably have
+% icons in abundance, and no doubt use colour too.
+% The layout of such a {\em tableau} is determined
+% (hopefully) as a one-off, given a jumble of material the
+% designer is trying to combine into a meaningful configuration.
+% But the layout of a {\em table} has been established over
+% centuries of experience and should only be altered in
+% extraordinary circumstances.
+%
+% By way of illustration, consider this tableau from the \LaTeX{}
+% manual (p. 64 old edition):
+%
+% \begin{center}
+% \begin{tabular}{||l|lr||} \hline
+% gnats     & gram      & \$13.65 \\ \cline{2-3}
+%           & each      & .01 \\ \hline
+% gnu       & stuffed   & 92.50 \\ \cline{1-1} \cline{3-3}
+% emu       &           & 33.33 \\ \hline
+% armadillo & frozen    & 8.99 \\ \hline
+% \end{tabular}
+% \end{center}
+%
+% This is a hotch-potch of information that is probably
+% reasonably clearly presented as is (but is the emu stuffed or
+% not?). However, as a published table, this should
+% much rather appear along the lines suggested
+% further down the page in the manual:
+%
+% \begin{center}
+% \begin{tabular}{@{}llr@{}} \toprule
+% \multicolumn{2}{c}{Item} \\ \cmidrule(r){1-2}
+% Animal & Description & Price (\$)\\ \midrule
+% Gnat  & per gram  & 13.65 \\
+%       & each      & 0.01 \\
+% Gnu   & stuffed   & 92.50 \\
+% Emu   & stuffed   & 33.33 \\
+% Armadillo & frozen & 8.99 \\ \bottomrule
+% \end{tabular}
+% \end{center}
+%
+% It takes much less work to lay
+% this out, as a formal table; we don't have to work out a new
+% layout for everything we do. Moreover, we can be almost certain
+% that the data cannot be misread, because the reader does not
+% have to learn how to read some novel presentation.
+%
+% The above table cannot be produced in pure \LaTeX,
+% unfortunately. It can be laid out as it should be, but despite
+% your best efforts, using plain =\hline= commands produces
+%
+% \begin{center}
+% \begin{tabular}{@{}llr@{}} \hline
+% \multicolumn{2}{c}{Item} \\ \cline{1-2}
+% Animal & Description & Price (\$)\\ \hline
+% Gnat  & per gram  & 13.65 \\
+%       & each      & 0.01 \\
+% Gnu   & stuffed   & 92.50 \\
+% Emu   & stuffed   & 33.33 \\
+% Armadillo & frozen & 8.99 \\ \hline
+% \end{tabular}
+% \end{center}
+%
+% Note (if it is not already obvious) that there is not enough
+% space between the top line and the capital I of `Item', and so
+% on for all the lines: contrast with the previous version. Also, in
+% the first version
+% the top and bottom rules (ie lines) are
+% heavier than the middle rule, which is turn heavier than the
+% subrule underneath `Item'. Of course you \emph{could} redefine
+% =\doublerulesep= and then use =\hline\hline= to get something
+% near the same effect, and you could use struts to improve
+% the spacing. But you should not have to
+% think of such things. The =booktabs= style defines its commands so
+% that such things are taken care of automatically.
+%
+% In general, I would say that
+% this package is of no interest to those looking for
+% an alternative to Pic\TeX{} to conjure up fancy tableaux.
+% Rather, it is a style guide for authors of scientific papers
+% and books as regards table layout. It is not going too far to
+% say that if you cannot
+% create a table using the commands in this package, you should
+% redesign it.
+%
+% \subsection{A note on terminology\label{notation}}
+%
+% In British typesetting, a `line' is always called a `rule'. Perhaps
+% confusingly (for historic reasons in fact), the `thickness' of
+% rule is often referred to as is its `width' (whereas just about
+% everyone else would call this `depth' or `height', if they were thinking
+% of a horizontal rule). A `thick black line' is called a `heavy
+% rule'. I have used this terminology in most of the new commands
+% below. If nothing else it avoids confusion with =\hline=.
+%
+% \section{The layout of formal tables}
+%
+% You will not go far wrong if you remember two simple
+% guidelines at all times:
+% \begin{enumerate}
+%   \item Never, ever use vertical rules.
+%   \item Never use double rules.
+% \end{enumerate}
+% These guidelines may seem extreme but I have
+% never found a good argument in favour of breaking them. For
+% example, if you feel that the information in the left half of
+% a table is so different from that on the right that it needs
+% to be separated by a vertical line, then you should use two
+% tables instead. Not everyone follows the second guideline:
+% I have worked for a publisher who insisted on a
+% double light rule above a row of totals. But this would not
+% have been my choice.
+%
+% There are three further guidelines worth mentioning here as they
+% are generally not known outside the circle of professional
+% typesetters and subeditors:
+% \begin{enumerate}\setcounter{enumi}{2}
+%   \item Put the units in the column heading (not in the body of
+%           the table).
+%   \item Always precede a decimal point by a digit; thus 0.1
+%       {\em not} just .1.
+%   \item Do not use `ditto' signs or any other such convention to
+%       repeat a previous value. In many circumstances a blank
+%       will serve just as well. If it won't, then repeat the value.
+% \end{enumerate}
+%
+% Whether or not you wish to follow the minor niceties,
+% if you use only the following commands in your formal tables
+% your reader will be grateful. I stress that
+% the guidelines are not just to
+% keep the pedantic happy. The principal is that enforced structure of
+% presentation
+% enforces structured thought in the first instance.
+%
+% \section{Use of the new commands}
+%
+% \DescribeMacro\toprule
+% \DescribeMacro\midrule
+% \DescribeMacro\bottomrule
+% In the simplest of cases a table begins with a =\toprule=, has
+% a single row of column headings, then a dividing rule called
+% here a =\midrule=; after the columns of data we finish off with
+% a =\bottomrule=. Most book publishers set the =\toprule= and
+% =\bottomrule= heavier (ie thicker, or darker; see section \ref{notation})
+% than the intermediate =\midrule=. However, when tables appear
+% in very small typesizes it is sometimes impossible to make this
+% distinction, and moreover quite a few journals routinely use all rules of
+% the same heaviness.
+%
+% The rule commands here all take a default
+% which may be reset within the document (preferably, but not
+% necessarily, in the preamble). For the top and bottom rules this
+% default
+% is =\heavyrulewidth= and for midrules it is =\lightrulewidth=
+% (fully described below). In very rare cases where you need to do
+% something special, you may use the optional arguments to the rule
+% commands which have formal syntax as follows:
+% \begin{quote}
+%   "\toprule["\meta{wd}"]" \\
+%   "\midrule["\meta{wd}"]" \\
+%   "\bottomrule["\meta{wd}"]"
+% \end{quote}
+% where \meta{wd} is a \TeX dimension (for example 1pt, .5em,
+% etc.).
+%
+% All the rule commands described here go after the closing
+% =\\= of the preceding row (except =\toprule=, which
+% comes right after the =\tabular{}= command); in other words,
+% exactly where plain \LaTeX{} allows =\hline= or =\cline=.
+%
+% \DescribeMacro\cmidrule
+% Frequently we need a sub-rule to extend over only some of the columns,
+% for which we need a =\cmidrule= (the analogue of \LaTeX's =\cline=
+% command). Generally, this rule should not come to the full width of
+% the columns, and this is especially the case when we need to begin
+% a =\cmidrule= straight after the end of another one (\LaTeX's
+% =\cline=s crash into each other here if you are not extra careful with
+% =\extracolsep=).  Thus, you will generally want to use the optional
+% `trimming' commands.
+%
+% The trimming commands, if used at all, go in
+% parentheses (like this), with no spaces separating them. The possible
+% specifications are =r=, =r{=\meta{wd}=}=, =l= and
+% =l{=\meta{wd}=}=, or any combination of these, where \meta{wd} is a
+% dimension, and =r= and =l= indicate whether the right and/or left ends
+% of the rule should be trimmed. The form without explicit argument is
+% equivalent to =r{\cmidrulekern}=, where =\cmidrulekern= defaults to
+% $0.5$ em, but can be set by the user in the preamble.\footnote{User
+%   feedback suggested the Version 1.00 default, 0.25 em, was too
+%   small. Sorry for any loss of backward compatibility. Remember that
+% you
+%   can easily set \texttt{\textbackslash cmidrulekern} in the preamble, or just use
+%   \texttt{(r\{.25em\})} to recover the original behaviour.}
+%
+% Here's an illustrative example: =(lr{.75em})= gives you a default
+% left trim and exactly $0.75$ em right trim. Equally valid here is
+% =(r{.75em}l)=.\footnote{As a matter of fact, \texttt{(lrrlr\{.75em\})}
+% does the same thing: only the
+% last encountered left and the last encountered right specification
+% are applied.}
+%
+% The full syntax of the command is
+% \begin{quote}
+%   "\cmidrule["\meta{wd}"]("\meta{trim}"){"$a$--$b$"}"
+% \end{quote}
+% where \meta{wd} is an optional rule width command, in square
+% brackets [like this] (the
+% default here is =\cmidrulewidth=), and the last argument, \emph{which
+% is not optional}, gives the column numbers to be spanned.
+%
+% An example of the commands in use is given by the code used to
+% produce the example table above:
+% \begin{verbatim}
+% \begin{tabular}{@{}llr@{}} \toprule
+% \multicolumn{2}{c}{Item} \\ \cmidrule(r){1-2}
+% Animal & Description & Price (\$)\\ \midrule
+% Gnat  & per gram  & 13.65 \\
+%       & each      & 0.01 \\
+% Gnu   & stuffed   & 92.50 \\
+% Emu   & stuffed   & 33.33 \\
+% Armadillo & frozen & 8.99 \\ \bottomrule
+% \end{tabular}
+% \end{verbatim}
+%
+% \DescribeMacro\addlinespace
+% Occasionally we want to put an extra space between certain rows
+% of a table; for example, before the last row, if this is a
+% total. This is simply a matter of inserting
+% \begin{quote}
+%   "\addlinespace["\meta{wd}"]"
+% \end{quote}
+%  after the =\\= alignment marker. Between ordinary rows of text, the
+%  effect is identical to the ordinary \LaTeX\ usage
+%  =\\[\defaultaddspace]=, which I find rather clumsy, and it is better
+%  than =\\ \\=, which inserts too much space. Also,
+%  =\addlinespace= can be used before, after, or between rules if you
+%  want to control the exact amount of space to be inserted. The default
+%  space before or after an adjacent rule is replaced by exactly
+%  =\defaultaddspace= or the amount of
+%  space specified in the optional argument.\footnote{This is a change
+% from version 1.00, where the space was sometimes \emph{in addition
+% to} default rule space.}
+%
+% \section{Abuse of the new commands}
+%
+% Let's face it, nobody can leave well alone, so here are some
+% guidelines and extra commands.
+%
+% The new rule commands are not guaranteed to work with =\hline=
+% or =\cline=, although these remain available and unchanged. I
+% cannot foresee any reason to want to mix them.
+%
+% More importantly the rules generated by the new commands are in
+% no way guaranteed to connect with verticals generated by ={|}=
+% characters in the preamble. This is a feature (see above). You
+% should not use vertical rules in tables, end of story.
+%
+% \DescribeMacro\morecmidrules
+% If you just cannot stop yourself from using a double rule,
+% even a construction as bizarre as =\toprule\bottomrule\midrule=
+% will work without generating an error message (just as you can
+% double =\hline=). These rules will be separated by the ordinary
+% \LaTeX\ separator =\doublerulesep=. However if your perversion
+% is to want double =\cmidrule=s you will need the extra command
+% =\morecmidrules= to do so properly, because normally two
+% =\cmidrule=s  in a row is a sane construction
+% calling for two rules on the same `rule row'. Thus in
+% \begin{quote}
+%   "\cmidrule{1-2}\cmidrule{1-2}"
+% \end{quote}
+% the second command writes a rule that just overwrites the first
+% one; I suppose you wanted
+% \begin{quote}
+%   "\cmidrule{1-2}\morecmidrules\cmidrule{1-2}"
+% \end{quote}
+% which gives you a double rule between columns one and two,
+% separated by =\cmidrulesep= (note: since a =\cmidrule= is
+% generally very light, the ordinary =\doublerulesep= is probably
+% too much space). Finish off a whole row of rules before giving the
+% =\morecmidrules= command. Note that =\morecmidrules= has no
+% effect whatsoever if it does not immediately follow a
+% =\cmidrule= (ie it is not a general space-generating command).
+%
+% \DescribeMacro\specialrule
+% If you find some extraordinary need to specify exactly $0.5$ em, say, between two
+% rules, you could use a construction such as =\midrule =
+% =\addlinespace[.5em] \midrule=. In a rare fit of tolerance, though,
+% I have also
+% provided the command
+% \begin{quote}
+%   "\specialrule{"\meta{wd}"}{"\meta{abovespace}"}{"\meta{belowspace}"}"
+% \end{quote}
+% where all three arguments are mandatory (I couldn't be bothered to
+% program in defaults). If you use this frequently, you have
+% misunderstood the purpose and content of the guidelines given above. A
+% preceeding rule does not add its default space below, and a following
+% rule adds no space above itself, so you get \emph{exactly} the space
+% specified in the arguments.\footnote{This is a change from Version 1.00,
+% which rather liked to add an extra \texttt{\textbackslash doublerulesep} space whenever it
+% could.}
+%
+%
+% \section{Booktabs and longtables}
+%
+% If you have both =booktabs= and =longtable= packages loaded, the
+% =booktabs= rule commands can now all be used exactly as described
+% above, within a longtable.
+%
+% There is an addition worth noting: within a =longtable=, you can use
+% the optional left and right trimming commands, which normally only
+% work for =\cmidrule=s, with =\toprule=, =\midrule= and =\bottomrule=
+% (and if you must, also with =\specialrule=). Users who hacked the
+% previous release for longtable compatability\footnote{Jim Service was
+% the first} seemed to like all the rules to be right trimmed 0.5 em. I
+% think you can do the same by making =@{}= be the last column
+% specifier. Still, after working out the rest of the code, it was easy
+% to add parsing for the optional arguments, so I did. (I didn't go the
+% whole way and allow the optional trimming \emph{outside} a
+% =longtable=; this would be a huge amount of work. If you must have
+% trimmed rules, make all your tables be =longtable=s!)
+%
+% A somewhat technical note: within a =longtable=, =\hline= and
+% =\hline\hline= both produce a \emph{double} rule (to allow for page
+% breaks occurring at that point). But the =booktabs= rules do
+% \emph{not}. Longtable's automatic doubling of =\hline= is
+% questionable, even according to the documentation within that
+% package. But doubled =booktabs= rules make almost no sense at all. In
+% the unfortunate event that a =booktabs= rule should occur at a page
+% break, then you will have to make the necessary adjustments by
+% hand. (In general, this will mean deleting the offending rule.)
+%
+%
+% \section{Booktabs and and the colortbl package}
+%
+%  =Booktabs= is now compatible with the =colortbl= package.\footnote{Since v1.6180}
+%  The \cmd{\arrayrulecolor} command will result in coloured
+%  rules if the =colortbl= package is loaded.
+%
+%
+% \section{Technical summary of commands}
+%
+% The new rule commands are valid inside the standard =tabular= (and
+% =array=) environment, in the modified =tabular= and =array= of
+% =\usepackage{array}=, and within both standard tables and longtables
+% after =\usepackage{longtable}=.
+%
+% The commands follow the standard placement syntax of =\hline=.
+% There can be space (including carriage-return,
+% but not two carriage-returns) between successive
+% rule commands.\footnote{A welcome change from Version 1.00, where space between
+% rule commands generated a very baffling error message.}
+%
+% In what amounts to quite a big change from former releases, within
+% the macro code I now define three classes of rules. (But we don't need these
+% definitions within ordinary use, so I haven't even mentioned them above.)
+% A class 1 rule (otherwise called a `normal' rule) is any of
+% =\toprule=, =\midrule=, =\bottomrule=, or =\cmidrule=. The class 2
+% rules are =\specialrule= and =\addlinespace=. Finally, a class 0 rule
+% is none of the preceeding --- or in other words, not a rule at
+% all.\footnote{Except that \texttt{\textbackslash hline} and
+% \texttt{\textbackslash cline} are class 0. Still, there
+%   is no reason to lose sleep over this, since one would not want to mix
+%   the two rule-drawing systems.} Note that =\addlinespace= counts as a
+% class 2 rule, not as class 0 text.
+%
+% In the following, we first describe each command in `normal use', meaning
+% that the rule is being used between two lines of text (or more
+% technically, is preceded and followed by a class 0 rule). After that,
+% we will look at the exceptions.
+% \begin{quote}
+%   "\toprule["\meta{wd}"]"
+% \end{quote}
+% A rule of width \meta{wd} (default =\heavyrulewidth=) with
+% =\abovetopsep= space above and
+% =\belowrulesep= extra vertical space inserted below it. By default,
+% =\abovetopsep= is zero, which seems sensible for a rule designed to
+% go at the top. However, if your
+% tables have captions, it can make sense to use =\abovetopsep= to
+% insert a reasonable amount of space between caption and table,
+% rather than remember to use a =\vspace{}= command in the float.
+% \begin{quote}
+%   "\midrule["\meta{wd}"]"
+% \end{quote}
+% A \meta{wd} (default =\lightrulewidth=) rule with
+% =\aboverulesep= space above it and
+% with =\belowrulesep= space below it.
+% \begin{quote}
+%   "\bottomrule["\meta{wd}"]"
+% \end{quote}
+% A \meta{wd} (default =\heavyrulewidth=) rule with =\aboverulesep=
+% space above it and with =\belowbottomsep= space below it. By default
+% =\belowbottomsep= is zero\footnote{This is a change from Version 1.00,
+% where there was always a \texttt{\textbackslash belowrulesep}}.
+% There is a frequent and legitimate reason
+% you might want space below a bottom rule: namely, when there's a table
+% footnote.\footnote{But don't use footnotes, Donald.}
+% If you don't override the default you could use
+% =\bottomrule \addlinespace[\belowrulesep]=
+% or you could put a suitably sized strut
+% into the footnote text.\footnote{I don't like either of these. Sort it out in
+% Version 1.618?} But the default has to be zero, so that it behaves
+% sensibly in a =longtable= footer.
+% \begin{quote}
+%   "\cmidrule["\meta{wd}"]("\meta{trim}"){"$a$--$b$"}"
+% \end{quote}
+% A \meta{wd} (default =\cmidrulewidth=) rule with
+% =\aboverulesep= space above it (unless following another
+% =\cmidrule=, in which case it is on the same vertical alignment; or
+% if following =\morecmidrules=, separated from a previous =\cmidrule=
+% by =\cmidrulesep=). A =\cmidrule= has
+% =\belowrulesep= below it (unless followed by another
+% =\cmidrule=, in which case the following rule is on the same
+% vertical alignment; or if followed by =\morecmdirules=, when there
+% will be
+% =\cmidrulesep= below it).
+%
+% The =\cmidrule= spans columns $a$ to $b$ as specified in the mandatory
+% argument. The optional argument \meta{trim}, which goes in parentheses
+% if at all, can contain any sequence of the tokens =r=, =l= and
+% ={=\meta{wd}=}=, with the latter setting the kerning to be applied to
+% right or left sides as specified by the immediately preceding token.
+% (There's currently no error checking done here, so be careful to get
+% the syntax right.)
+% \begin{quote}
+%   "\morecmidrules"
+% \end{quote}
+% Instructs \LaTeX\ to begin a new row of =\cmidrules=,
+% separated from the last by =\cmidrulesep=. Has no meaning
+% in any other context.
+% \begin{quote}
+%   "\specialrule{"\meta{wd}"}{"\meta{abovespace}"}{"\meta{belowspace}"}"
+% \end{quote}
+% A \meta{wd} rule (note: here this is a mandatory argument) with
+% \meta{abovespace} above it and \meta{belowspace} below it.
+% \begin{quote}
+%   "\addlinespace["\meta{wd}"]"
+% \end{quote}
+% Technically this has the same effect as
+% =\specialrule{0pt}{0pt}{=\meta{wd}=}=, i.e. a zero-width rule with no
+% space above and with \meta{wd} (default =\defaultaddspace=) space
+% below. This command was primarily designed to add space between rows
+% in the body of the table, but it may also be used to specify an exact
+% amount of space above or below a class 1 rule.
+%
+% \vspace{1em}
+% Now we come to the exceptions to the above. We have already seen in
+% the definitions that the type 2 rules are preceded and followed by
+% exactly the amount of space specified by the arguments. That is, a
+% type 2 rule suppresses the space that would normally be generated by a
+% previous type 1 rule (e.g. =\belowrulesep= after a =\toprule=) and
+% replaces it by the argument of the type 2 rule. Similarly, in the
+% combination \{type 2 rule\}\{type 1 rule\}, the ordinary space above
+% the type 1 rule (e.g. =\aboverulesep=) is suppressed. But in the
+% combination \{type 2 rule\}\{type 2 rule\}, no space is suppressed:
+% the rules will be separated by both the first rule's
+% ={=\meta{belowspace}=}= and the second rule's ={=\meta{abovespace}=}=
+% arguments. Last but not least, the combination \{type 1 rule\}\{type 1
+% rule\} will always give rules separated by =\doublerulesep=,
+% suppressing all normal space generated between the rules (but
+% retaining normal space above the first and below the second).
+%
+% As an exception to this last exception, `type 1 rule' excludes
+% =\cmidrule=. Such rules combine with other =\cmidrule=s and
+% =\morecmidrules= in normal use as described above. I don't know and
+% I don't care
+% care what the combination =\toprule\cmidrule{1-2}\midrule= would
+% produce. I can see no excuse for such usage.
+%
+%\vspace{1em}
+% The default dimensions are defined at the beginning of the macro
+% description section (Section \ref{code}). The user can change
+% these defaults in the preamble, or outside a
+% tabular environment, by simply
+% inserting a command in exactly the same format as in Section \ref{code}; the
+% redefinition will stay in effect for the rest of the document
+% or until redefined again. \emph{Inside a table} you would have to make the
+% assignment globally in a =noalign= group:
+% e.g. \verb|\noalign\{\global\abovetopsep=1em\toprule}|. I hope
+% you never have to do that.
+%
+% \section{Acknowledgments}
+% Hugely indebted of course to DEK and Lamport; the optional
+% argument and =\cmidrule=
+% stuff especially was stolen from =latex.sty=.
+% The documentation driver stuff is stolen from the
+% tools package description =dcolumn.dtx= by David Carlisle.
+%
+% For beta testing and encouragement ...
+%
+% \StopEventually
+%
+% \section{The code\label{code}}
+%
+%    The current version is defined at the top of the file looking
+%    something like this
+%    \begin{macrocode}
+%<*package>
+%\NeedsTeXFormat{LaTeX2e}
+%\ProvidesPackage{booktabs}
+%        [\filedate\space version\fileversion]
+%    \end{macrocode}
+%
+% First we set up the new dimensions described above:
+%    \begin{macrocode}
+\newdimen\heavyrulewidth
+\newdimen\lightrulewidth
+\newdimen\cmidrulewidth
+\newdimen\belowrulesep
+\newdimen\belowbottomsep
+\newdimen\aboverulesep
+\newdimen\abovetopsep
+\newdimen\cmidrulesep
+\newdimen\cmidrulekern
+\newdimen\defaultaddspace
+\heavyrulewidth=.08em
+\lightrulewidth=.05em
+\cmidrulewidth=.03em
+\belowrulesep=.65ex
+\belowbottomsep=0pt
+\aboverulesep=.4ex
+\abovetopsep=0pt
+\cmidrulesep=\doublerulesep
+\cmidrulekern=.5em
+\defaultaddspace=.5em
+%    \end{macrocode}
+% And some internal counters of no interest to the end user:
+% \changes{v1.618}{2003/03/28}{Remove \cs{@cmidrulewidth} }
+%    \begin{macrocode}
+\newcount\@cmidla
+\newcount\@cmidlb
+\newdimen\@aboverulesep
+\newdimen\@belowrulesep
+\newcount\@thisruleclass
+\newcount\@lastruleclass
+\@lastruleclass=0
+\newdimen\@thisrulewidth
+%    \end{macrocode}
+% which will be described as needed below.
+%
+% \begin{macro}{\futurenonspacelet}
+% Next we define a very useful macro (more-or-less straight from the
+% \TeX book's Dirty Tricks chapter; documented there). Use
+% =\futurenonspacelet= instead of =\futurelet= when looking for the next
+% (non-space) token after a macro that has an argument. (After a macro
+% without an argument, space is ignored anyway, so =\futurenonspacelet=
+% wouldn't be needed.) This hack allows users to type white
+% space between successive rule commands (which did not work in Version
+% 1.00).
+%    \begin{macrocode}
+\def\futurenonspacelet#1{\def\@BTcs{#1}%
+   \afterassignment\@BTfnslone\let\nexttoken= }
+\def\@BTfnslone{\expandafter\futurelet\@BTcs\@BTfnsltwo}
+\def\@BTfnsltwo{\expandafter\ifx\@BTcs\@sptoken\let\next=\@BTfnslthree
+   \else\let\next=\nexttoken\fi \next}
+\def\@BTfnslthree{\afterassignment\@BTfnslone\let\next= }
+%    \end{macrocode}
+% \end{macro}
+%
+% \subsection{Full width  rules}
+%
+% When we are not in a =longtable= environment, we can simply
+% implement the full width rules as a =\hrule= in  a =\noalign{}=
+% group. But within a =longtable=, the rule has to be drawn like a
+% =\cmidrule{1-\LT@cols}= (the rationale for this is explained in the
+% =longtable= documentation).
+%
+% In order to allow for both, all the rule macros have to
+% open a =\noalign= group immediately, while they work out whether
+% they have been called within a =longtable=; if you don't do this,
+% \TeX's underlying =\halign= process gets hiccups.
+% I use \LaTeX's
+% dirty trick (\verb?\ifnum=0`}?) to fool the parser that the bracket
+% count is OK. The bracket really gets closed after all the skipping
+% at the end of the =\@BTendrule= macro.
+%
+% The class 1 rules, and =\specialrule=, really only differ in the
+% defaults for space above and
+% below, and the width, passed to a common routine, =\@BTrule=,
+% described below. The spaces, =\@aboverulesep= and =\@belowrulesep=,
+% are set within the =\noalign= group, so are inherited by
+% =\@BTrule=. Similarly, =\@BTrule= knows as much as it needs to
+% about the routine that called it by examining the inherited
+% =\@thisruleclass=. The optional width argument is parsed by
+% =\@BTrule= after being set to default if absent.
+%
+%
+% \begin{macro}{\toprule}
+% \changes{v1.61803}{2005/04/14}{Change \cmd{\@belowrulesep} to \cmd{\belowrulesep}}
+% \begin{macro}{\midrule}
+% \begin{macro}{\bottomrule}
+% \begin{macro}{\specialrule}
+%    \begin{macrocode}
+\def\toprule{\noalign{\ifnum0=`}\fi
+  \@aboverulesep=\abovetopsep
+  \global\@belowrulesep=\belowrulesep %global cos for use in the next noalign
+  \global\@thisruleclass=\@ne
+  \@ifnextchar[{\@BTrule}{\@BTrule[\heavyrulewidth]}}
+\def\midrule{\noalign{\ifnum0=`}\fi
+  \@aboverulesep=\aboverulesep
+  \global\@belowrulesep=\belowrulesep
+  \global\@thisruleclass=\@ne
+  \@ifnextchar[{\@BTrule}{\@BTrule[\lightrulewidth]}}
+\def\bottomrule{\noalign{\ifnum0=`}\fi
+  \@aboverulesep=\aboverulesep
+  \global\@belowrulesep=\belowbottomsep
+  \global\@thisruleclass=\@ne
+  \@ifnextchar[{\@BTrule}{\@BTrule[\heavyrulewidth]}}
+\def\specialrule#1#2#3{\noalign{\ifnum0=`}\fi
+  \@aboverulesep=#2\global\@belowrulesep=#3\global\@thisruleclass=\tw@
+  \@BTrule[#1]}
+%    \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \begin{macro}{\addlinespace}
+% An =\addlinespace= is essentially a zero-width rule with
+% zero space above and argument (or default) space below. But because
+%  the rule is not actually drawn, but is just a =\vskip=, there is no
+%  need to check if we're in a longtable, so we don't need to call
+%  =\@BTrule= as for `real' rules. But we do share the =\@BTendrule=
+%  lookahead and flagsetting code (described below), and the =\vskip= is done there.
+%    \begin{macrocode}
+\def\addlinespace{\noalign{\ifnum0=`}\fi
+  \@ifnextchar[{\@addspace}{\@addspace[\defaultaddspace]}}
+\def\@addspace[#1]{\global\@belowrulesep=#1\global\@thisruleclass=\tw@
+  \futurelet\@tempa\@BTendrule}
+%    \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\@BTrule}
+% All the rules (except =\addlinespace=) share this code.
+%    \begin{macrocode}
+\def\@BTrule[#1]{%
+  \global\@thisrulewidth=#1\relax
+%    \end{macrocode}
+% Save the width argument (if the user didn't give one, then the
+% calling routine will have called =\@BTrule= with the default) in a global
+% variable for later use when drawing the rule.
+%    \begin{macrocode}
+  \ifnum\@thisruleclass=\tw@\vskip\@aboverulesep\else
+%    \end{macrocode}
+% Specialrules always insert specified space above. (Note: addlinespaces
+% don't come here).
+%    \begin{macrocode}
+  \ifnum\@lastruleclass=\z@\vskip\@aboverulesep\else
+  \ifnum\@lastruleclass=\@ne\vskip\doublerulesep\fi\fi\fi
+%    \end{macrocode}
+% After text (last rule class 0), precede the rule by =\aboverulesep=;
+% but if immediately after a
+% previous rule, insert a =\doublerulesep=.
+%
+% Now we work out, by a very nasty hack, if we're within a
+%  =longtable=. It's easy if =\longtable= isn't even defined: then we
+%  can't be. But it is not enough just to check if =longtable= is
+%  loaded --- we might be within an ordinary table rather than a
+%  longtable. So we look to see if =\hline= has been re-defined
+%  from its \LaTeX\ definition to be the same as
+%  =\LT@hline=. (Longtable currently does this redefinition when it opens a
+%  =longtable= environment, but not globally, so it is
+%  cleared it when the environment closes.) Another
+%  package could potentially do this! And =longtable= might change the
+%  way it implements this! So, it is not entirely safe, but I have
+%  found no better way so far.
+%
+% We set up =\@BTswitch= to call =\@BTnormal= or =\@BLTrule=, as
+%  appropriate, then call it.
+%    \begin{macrocode}
+  \ifx\longtable\undefined
+     \let\@BTswitch\@BTnormal
+  \else\ifx\hline\LT@hline
+     \let\@BTswitch\@BLTrule
+  \else
+     \let\@BTswitch\@BTnormal
+  \fi\fi
+  \@BTswitch}
+%    \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\CT@arc@}
+%   \changes{v1.6180}{2005/03/16}{add colortbl command for color support}
+%   This is support for the colortbl package for colored
+%   rules.  \cmd{\CT@arc@} hold the \cmd{\arrayrulecolor} setting.
+%    \begin{macrocode}
+\AtBeginDocument{%
+   \providecommand*\CT@arc@{}}%% colortbl support
+%    \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\@BTnormal}
+%   \changes{v1.6180}{2005/03/16}{add colortbl \cmd{\CT@arc@} command for color support}
+% This is when we're \emph{not} within a longtable. We are already in a
+%  =\noalign= group, all we need do is draw an =\hrule= and gobble any
+%  trailing spaces, then call the closing routine with =\@tempa= set
+%  equal to the next token in the document.
+%
+%    \begin{macrocode}
+\def\@BTnormal{%
+    {\CT@arc@\hrule\@height\@thisrulewidth}%
+    \futurenonspacelet\@tempa\@BTendrule}
+%    \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@BLTrule}
+% This is for full width rule within a =longtable=. First we check if
+%  a kerning argument has been used; if so let =\@@BLTrule= read it,
+%  else call =\@@BLTrule= with an empty string:
+%    \begin{macrocode}
+\def\@BLTrule{\@ifnextchar({\@@BLTrule}{\@@BLTrule()}}
+%    \end{macrocode}
+% \end{macro}
+% \begin{macro}{\@@BLTrule}
+%    \begin{macrocode}
+\def\@@BLTrule(#1){\@setrulekerning{#1}%
+\global\@cmidlb\LT@cols
+%    \end{macrocode}
+% The =\@setrulekerning= routine parses the kerning argument tokens
+% and sets global kerning widths accordingly (or to defaults, if user
+% hasn't set them explicitly). The global assignment to =\@cmidlb=
+% sets up the column count for the =\@cmidruleb= macro, which is
+% shared with =cmidrules=.
+%    \begin{macrocode}
+\ifnum0=`{\fi}%
+%    \end{macrocode}
+% Close the currently open =\noalign= group. Within a =longtable=,
+% rules are all to be drawn as leaders within a text box that is
+% =\LT@cols= columns wide.
+%    \begin{macrocode}
+\@cmidruleb
+%    \end{macrocode}
+% Draw the rule. We share the =\@cmidruleb= code with ordinary =\cmidrule=s.
+%    \begin{macrocode}
+\noalign{\ifnum0=`}\fi
+%    \end{macrocode}
+% We have to open a new noalign immediately else \TeX will start a new
+%    text box where we don't want one. Then, after gobbling any
+%    unwanted white space, we call the closing routine.
+%    \begin{macrocode}
+\futurenonspacelet\@tempa\@BTendrule}
+%    \end{macrocode}
+% \end{macro}
+% \begin{macro}{\@BTendrule}
+% We look one step ahead (token is in =\@tempa=) to see if another
+% rule follows (shame on user!). If so, we set =\@lastruleclass= equal
+% to =\@thisruleclass= (thus setting it up for the following rule). If
+% there isn't a following rule, we clear =\@lastruleclass= (ie set it
+% to zero), which isn't technically true since we have just drawn a
+% rule, but sets it up correctly for the next rule encountered, which
+% must be following some intervening text.
+%    \begin{macrocode}
+\def\@BTendrule{\ifx\@tempa\toprule\global\@lastruleclass=\@thisruleclass
+  \else\ifx\@tempa\midrule\global\@lastruleclass=\@thisruleclass
+  \else\ifx\@tempa\bottomrule\global\@lastruleclass=\@thisruleclass
+  \else\ifx\@tempa\cmidrule\global\@lastruleclass=\@thisruleclass
+  \else\ifx\@tempa\specialrule\global\@lastruleclass=\@thisruleclass
+  \else\ifx\@tempa\addlinespace\global\@lastruleclass=\@thisruleclass
+  \else\global\@lastruleclass=\z@\fi\fi\fi\fi\fi\fi
+  \ifnum\@lastruleclass=\@ne\relax\else\vskip\@belowrulesep\fi
+  \ifnum0=`{\fi}}
+%    \end{macrocode}
+% \end{macro}
+%
+%
+% \subsection{Special subrules}
+%
+% \begin{macro}{\@setrulekerning}
+% The following code parses the trimming arguments (if there are any)
+%    for =\cmidrule= or a =\BLTrule=. The rule
+%     will be trimmed left and right by =\cmrkern@l= and =\cmrkern@l=,
+%     which are zero by default, set to =\cmidrulekern= by the plain
+%     =(lr)= arguments, or user set as in =(r{.5em})=. We parse token by
+%     token through the arguments. The
+%     tokens =r= and =l= cause =\cmrkern@r= or =\cmrkern@l= to be set to
+%     =\cmidrulekern=. There is no lookahead to see if a width is the
+%     next token; this strategy is efficient for the plain commands,
+%     while inefficient for the qualified commands, but more importantly
+%     it is much easier to program. Tokens =r= and =l= also set
+%     =\cmrswitch= so that if the next token turns out to be
+%     ={=\meta{wd}=}= then the kerning will be done on the side
+%     currently specified. I have been too lazy to program an error
+%     message should one encounter tokens other than =r=, =l= or
+%     ={=\meta{wd}=}=.
+% \changes{v1.6180}{2005/03/16}{Refine option testing in \cmd{\@setrulekerning}}
+%    \begin{macrocode}
+\def\@setrulekerning#1{%
+   \global\let\cmrkern@l\z@
+   \global\let\cmrkern@r\z@
+   \@tfor\@tempa :=#1\do
+  {\def\@tempb{r}%
+   \ifx\@tempa\@tempb
+      \global\let\cmrkern@r\cmidrulekern
+      \def\cmrsideswitch{\cmrkern@r}%
+   \else
+      \def\@tempb{l}%
+      \ifx\@tempa\@tempb
+         \global\let\cmrkern@l\cmidrulekern
+         \def\cmrsideswitch{\cmrkern@l}%
+      \else
+         \global\expandafter\let\cmrsideswitch\@tempa
+      \fi
+   \fi}}
+%    \end{macrocode}
+% \end{macro}
+% \begin{macro}{\cmidrule}
+% \begin{macro}{\@cmidrule}
+% \begin{macro}{\@@cmidrule}
+% \begin{macro}{\@@@cmidrule}
+% The =\cmidrule= re-uses =\@lastruleclass= in an entirely different
+%  way from the full width rules. (Maybe I should have used a
+%  different flag; it seemed efficient at the time \ldots). This
+% is (left) set to one if you are in the middle of a row of
+% =\cmidrules=, or starting a new one (with =\morecmidrules=).
+% Otherwise, when =\@lastruleclass= is zero, we precede the
+% rule with =\aboverulesep=.
+%    \begin{macrocode}
+\def\cmidrule{\noalign{\ifnum0=`}\fi
+    \@ifnextchar[{\@cmidrule}{\@cmidrule[\cmidrulewidth]}}
+\def\@cmidrule[#1]{\@ifnextchar({\@@cmidrule[#1]}{\@@cmidrule[#1]()}}
+\def\@@cmidrule[#1](#2)#3{\@@@cmidrule[#3]{#1}{#2}}
+%    \end{macrocode}
+% The above is fiddling around to set defaults for missing optional
+% arguments. We also pass to =\@@@cmidrule= in a different order,
+% namely =[a-b]=={width required}= ={kerning commands}= (this being
+% the order in which the arguments are actually processed):
+%    \begin{macrocode}
+\def\@@@cmidrule[#1-#2]#3#4{\global\@cmidla#1\relax
+    \global\advance\@cmidla\m@ne
+    \ifnum\@cmidla>0\global\let\@gtempa\@cmidrulea\else
+    \global\let\@gtempa\@cmidruleb\fi
+    \global\@cmidlb#2\relax
+    \global\advance\@cmidlb-\@cmidla
+%    \end{macrocode}
+% This has set up a switch (=\@gtempa=) to call the relevant routine,
+% =\@cmidrulea= or =\@cmidruleb=, depending on whether we start
+% from column one or not.
+%    \begin{macrocode}
+    \global\@thisrulewidth=#3
+%    \end{macrocode}
+% That is, set per default or given argument. Then parse any trimming
+% arguments to set, globally, =\cmrkern@r= and =\cmrkern@l= accordingly:
+%    \begin{macrocode}
+    \@setrulekerning{#4}
+%    \end{macrocode}
+% Now insert space above if needed, close the =\noalign=,
+% then switch to appropriate rule drawing routine as determined
+% above (=\let= to =\@gtempa=):
+%    \begin{macrocode}
+    \ifnum\@lastruleclass=\z@\vskip \aboverulesep\fi
+    \ifnum0=`{\fi}\@gtempa
+%    \end{macrocode}
+% Having now drawn the rule,
+% open another =\noalign=, and call the closing routine:
+%    \begin{macrocode}
+    \noalign{\ifnum0=`}\fi\futurenonspacelet\@tempa\@xcmidrule}
+%    \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@xcmidrule}
+% In this closing routine, see if another =\cmidrule= follows;
+% if so, backspace
+% vertical so it will line up with the one you just drew,
+% and setting =\@lastruleclass= to 1 will suppress
+% adding space above the next. If a =\morecimdrules= follows,
+% we add (positive) =\cmidrulesep= (and again set =\@lastruleclass=
+% to one). Otherwise this is the last rule of the current group
+% and we can just add =\belowrulesep=. Finally, we close the =\noalign=.
+% \changes{v1.618}{2003/03/28}{Change to \cmd{\@xcmidrule}:
+%         replace \cmd{\@cmidrulewidth} with \cmd{\@thisrulewidth }}
+%    \begin{macrocode}
+\def\@xcmidrule{%
+   \ifx\@tempa\cmidrule
+       \vskip-\@thisrulewidth
+       \global\@lastruleclass=\@ne
+   \else \ifx\@tempa\morecmidrules
+       \vskip \cmidrulesep
+       \global\@lastruleclass=\@ne\else
+       \vskip \belowrulesep
+       \global\@lastruleclass=\z@
+   \fi\fi
+   \ifnum0=`{\fi}}
+%    \end{macrocode}
+% \end{macro}
+% \begin{macro}{\@cmidrulea}
+% This code (called below) actually draws the rules. They are drawn
+% as boxes in text, rather than in a =\noalign= group, which permits
+% the left and right kerning.
+%   \changes{v1.6180}{2005/03/16}{add colortbl \cmd{\CT@arc@} command for color support}
+%    \begin{macrocode}
+\def\@cmidrulea{%
+   \multispan\@cmidla&\multispan\@cmidlb
+   \unskip\hskip\cmrkern@l%
+  {\CT@arc@\leaders\hrule \@height\@thisrulewidth\hfill}%
+   \hskip\cmrkern@r\cr}%
+%    \end{macrocode}
+% \end{macro}
+% \begin{macro}{\@cmidruleb}
+%   \changes{v1.6180}{2005/03/16}{add colortbl \cmd{\CT@arc@} command for color support}
+%    \begin{macrocode}
+\def\@cmidruleb{%
+    \multispan\@cmidlb
+    \unskip\hskip \cmrkern@l%
+   {\CT@arc@\leaders\hrule \@height\@thisrulewidth\hfill}%
+    \hskip\cmrkern@r\cr}%
+%    \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\morecmidrules}
+% This is really a dummy command; all the work is done above
+% within the =\cmidrule= routine. We look one step ahead there
+% to see if a =\morecmidrules= follows the current =\cmidrule=,
+% and if so set the flag. Otherwise,  =\morecmidrules= itself
+% does nothing.
+%    \begin{macrocode}
+\def\morecmidrules{\noalign{\relax}}
+%    \end{macrocode}
+% \end{macro}
+%
+%    \begin{macrocode}
+%</package>
+%    \end{macrocode}
+%
+% \Finale
+%

diff --git a/booktabs.ins b/booktabs.ins
new file mode 100644 (file)
index 0000000..d1354fa
--- /dev/null
+++ b/booktabs.ins
@@ -0,0 +1,86 @@
+% -----------------------------------------------------------------
+% File:       booktabs.ins
+% Author:     Simon Fear
+% Maintainer: Danie Els (dnjels@sun.ac.za)
+%
+% This file is part of the booktabs package for publication
+% quality tables for LaTeX
+%
+%       Copyright (C) 1995--2005 Simon Fear
+%
+% This program is free software; you can redistribute it and/or
+% modify it under the terms of the GNU General Public License as
+% published by the Free Software Foundation; either version 2 of
+% the License, or (at your option) any later version.
+%
+% This program is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public
+% License along with this program; if not, write to the Free
+% Software Foundation, Inc., 59 Temple Place, Suite 330, Boston,
+% MA 02111-1307 USA
+%
+% -----------------------------------------------------------------
+% This file will generate fast loadable files and documentation
+% driver files from the doc files in this package when run through
+% LaTeX or TeX.
+%
+% The file README' contains a list of all the files as well
+% directions for installation of this package.
+% -----------------------------------------------------------------
+
+\def\batchfile{booktabs.ins}
+\def\filedate{2005/03/16}
+\input docstrip.tex
+\keepsilent
+
+\preamble
+
+-----------------------------------------------------------------
+Author:     Simon Fear
+Maintainer: Danie Els (dnjels@sun.ac.za)
+
+This file is part of the booktabs package for publication
+quality tables for LaTeX
+
+      Copyright (C) 1995--2005 Simon Fear
+
+This program is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 2 of
+the License, or (at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public
+License along with this program; if not, write to the Free
+Software Foundation, Inc., 59 Temple Place, Suite 330, Boston,
+MA 02111-1307 USA
+-----------------------------------------------------------------
+\endpreamble
+
+\generate{%
+    \askforoverwritefalse
+    \file{booktabs.sty}{\from{booktabs.dtx}{package}}%
+}
+
+{\obeyspaces%
+\Msg{**********************************************************}%
+\Msg{*                                                        *}%
+\Msg{* To finish the installation you have to move the        *}%
+\Msg{* following file into a directory searched by TeX:       *}%
+\Msg{*                                                        *}%
+\Msg{*    booktabs.sty                                        *}%
+\Msg{*                                                        *}%
+\Msg{* To produce the documentation run the file booktabs.dtx *}%
+\Msg{* through LaTeX.                                         *}%
+\Msg{*                                                        *}%
+\Msg{* Happy TeXing!                                          *}%
+\Msg{**********************************************************}}
+\endbatchfile

diff --git a/booktabs.sty b/booktabs.sty
new file mode 100644 (file)
index 0000000..f25e1ed
--- /dev/null
+++ b/booktabs.sty
@@ -0,0 +1,182 @@
+%%\r
+%% This is file `booktabs.sty',\r
+%% generated with the docstrip utility.\r
+%%\r
+%% The original source files were:\r
+%%\r
+%% booktabs.dtx  (with options: `package')\r
+%% \r
+%% -----------------------------------------------------------------\r
+%% Author:     Simon Fear\r
+%% Maintainer: Danie Els (dnjels@sun.ac.za)\r
+%% \r
+%% This file is part of the booktabs package for publication\r
+%% quality tables for LaTeX\r
+%% \r
+%%       Copyright (C) 1995--2005 Simon Fear\r
+%% \r
+%% This program is free software; you can redistribute it and/or\r
+%% modify it under the terms of the GNU General Public License as\r
+%% published by the Free Software Foundation; either version 2 of\r
+%% the License, or (at your option) any later version.\r
+%% \r
+%% This program is distributed in the hope that it will be useful,\r
+%% but WITHOUT ANY WARRANTY; without even the implied warranty of\r
+%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the\r
+%% GNU General Public License for more details.\r
+%% \r
+%% You should have received a copy of the GNU General Public\r
+%% License along with this program; if not, write to the Free\r
+%% Software Foundation, Inc., 59 Temple Place, Suite 330, Boston,\r
+%% MA 02111-1307 USA\r
+%% -----------------------------------------------------------------\r
+\NeedsTeXFormat{LaTeX2e}[1999/12/01]\r
+\ProvidesPackage{booktabs}\r
+    [2005/04/14 v1.61803 publication quality tables]\r
+\newdimen\heavyrulewidth\r
+\newdimen\lightrulewidth\r
+\newdimen\cmidrulewidth\r
+\newdimen\belowrulesep\r
+\newdimen\belowbottomsep\r
+\newdimen\aboverulesep\r
+\newdimen\abovetopsep\r
+\newdimen\cmidrulesep\r
+\newdimen\cmidrulekern\r
+\newdimen\defaultaddspace\r
+\heavyrulewidth=.08em\r
+\lightrulewidth=.05em\r
+\cmidrulewidth=.03em\r
+\belowrulesep=.65ex\r
+\belowbottomsep=0pt\r
+\aboverulesep=.4ex\r
+\abovetopsep=0pt\r
+\cmidrulesep=\doublerulesep\r
+\cmidrulekern=.5em\r
+\defaultaddspace=.5em\r
+\newcount\@cmidla\r
+\newcount\@cmidlb\r
+\newdimen\@aboverulesep\r
+\newdimen\@belowrulesep\r
+\newcount\@thisruleclass\r
+\newcount\@lastruleclass\r
+\@lastruleclass=0\r
+\newdimen\@thisrulewidth\r
+\def\futurenonspacelet#1{\def\@BTcs{#1}%\r
+   \afterassignment\@BTfnslone\let\nexttoken= }\r
+\def\@BTfnslone{\expandafter\futurelet\@BTcs\@BTfnsltwo}\r
+\def\@BTfnsltwo{\expandafter\ifx\@BTcs\@sptoken\let\next=\@BTfnslthree\r
+   \else\let\next=\nexttoken\fi \next}\r
+\def\@BTfnslthree{\afterassignment\@BTfnslone\let\next= }\r
+\def\toprule{\noalign{\ifnum0=`}\fi\r
+  \@aboverulesep=\abovetopsep\r
+  \global\@belowrulesep=\belowrulesep %global cos for use in the next noalign\r
+  \global\@thisruleclass=\@ne\r
+  \@ifnextchar[{\@BTrule}{\@BTrule[\heavyrulewidth]}}\r
+\def\midrule{\noalign{\ifnum0=`}\fi\r
+  \@aboverulesep=\aboverulesep\r
+  \global\@belowrulesep=\belowrulesep\r
+  \global\@thisruleclass=\@ne\r
+  \@ifnextchar[{\@BTrule}{\@BTrule[\lightrulewidth]}}\r
+\def\bottomrule{\noalign{\ifnum0=`}\fi\r
+  \@aboverulesep=\aboverulesep\r
+  \global\@belowrulesep=\belowbottomsep\r
+  \global\@thisruleclass=\@ne\r
+  \@ifnextchar[{\@BTrule}{\@BTrule[\heavyrulewidth]}}\r
+\def\specialrule#1#2#3{\noalign{\ifnum0=`}\fi\r
+  \@aboverulesep=#2\global\@belowrulesep=#3\global\@thisruleclass=\tw@\r
+  \@BTrule[#1]}\r
+\def\addlinespace{\noalign{\ifnum0=`}\fi\r
+  \@ifnextchar[{\@addspace}{\@addspace[\defaultaddspace]}}\r
+\def\@addspace[#1]{\global\@belowrulesep=#1\global\@thisruleclass=\tw@\r
+  \futurelet\@tempa\@BTendrule}\r
+\def\@BTrule[#1]{%\r
+  \global\@thisrulewidth=#1\relax\r
+  \ifnum\@thisruleclass=\tw@\vskip\@aboverulesep\else\r
+  \ifnum\@lastruleclass=\z@\vskip\@aboverulesep\else\r
+  \ifnum\@lastruleclass=\@ne\vskip\doublerulesep\fi\fi\fi\r
+  \ifx\longtable\undefined\r
+     \let\@BTswitch\@BTnormal\r
+  \else\ifx\hline\LT@hline\r
+     \let\@BTswitch\@BLTrule\r
+  \else\r
+     \let\@BTswitch\@BTnormal\r
+  \fi\fi\r
+  \@BTswitch}\r
+\AtBeginDocument{%\r
+   \providecommand*\CT@arc@{}}%% colortbl support\r
+\def\@BTnormal{%\r
+    {\CT@arc@\hrule\@height\@thisrulewidth}%\r
+    \futurenonspacelet\@tempa\@BTendrule}\r
+\def\@BLTrule{\@ifnextchar({\@@BLTrule}{\@@BLTrule()}}\r
+\def\@@BLTrule(#1){\@setrulekerning{#1}%\r
+\global\@cmidlb\LT@cols\r
+\ifnum0=`{\fi}%\r
+\@cmidruleb\r
+\noalign{\ifnum0=`}\fi\r
+\futurenonspacelet\@tempa\@BTendrule}\r
+\def\@BTendrule{\ifx\@tempa\toprule\global\@lastruleclass=\@thisruleclass\r
+  \else\ifx\@tempa\midrule\global\@lastruleclass=\@thisruleclass\r
+  \else\ifx\@tempa\bottomrule\global\@lastruleclass=\@thisruleclass\r
+  \else\ifx\@tempa\cmidrule\global\@lastruleclass=\@thisruleclass\r
+  \else\ifx\@tempa\specialrule\global\@lastruleclass=\@thisruleclass\r
+  \else\ifx\@tempa\addlinespace\global\@lastruleclass=\@thisruleclass\r
+  \else\global\@lastruleclass=\z@\fi\fi\fi\fi\fi\fi\r
+  \ifnum\@lastruleclass=\@ne\relax\else\vskip\@belowrulesep\fi\r
+  \ifnum0=`{\fi}}\r
+\def\@setrulekerning#1{%\r
+   \global\let\cmrkern@l\z@\r
+   \global\let\cmrkern@r\z@\r
+   \@tfor\@tempa :=#1\do\r
+  {\def\@tempb{r}%\r
+   \ifx\@tempa\@tempb\r
+      \global\let\cmrkern@r\cmidrulekern\r
+      \def\cmrsideswitch{\cmrkern@r}%\r
+   \else\r
+      \def\@tempb{l}%\r
+      \ifx\@tempa\@tempb\r
+         \global\let\cmrkern@l\cmidrulekern\r
+         \def\cmrsideswitch{\cmrkern@l}%\r
+      \else\r
+         \global\expandafter\let\cmrsideswitch\@tempa\r
+      \fi\r
+   \fi}}\r
+\def\cmidrule{\noalign{\ifnum0=`}\fi\r
+    \@ifnextchar[{\@cmidrule}{\@cmidrule[\cmidrulewidth]}}\r
+\def\@cmidrule[#1]{\@ifnextchar({\@@cmidrule[#1]}{\@@cmidrule[#1]()}}\r
+\def\@@cmidrule[#1](#2)#3{\@@@cmidrule[#3]{#1}{#2}}\r
+\def\@@@cmidrule[#1-#2]#3#4{\global\@cmidla#1\relax\r
+    \global\advance\@cmidla\m@ne\r
+    \ifnum\@cmidla>0\global\let\@gtempa\@cmidrulea\else\r
+    \global\let\@gtempa\@cmidruleb\fi\r
+    \global\@cmidlb#2\relax\r
+    \global\advance\@cmidlb-\@cmidla\r
+    \global\@thisrulewidth=#3\r
+    \@setrulekerning{#4}\r
+    \ifnum\@lastruleclass=\z@\vskip \aboverulesep\fi\r
+    \ifnum0=`{\fi}\@gtempa\r
+    \noalign{\ifnum0=`}\fi\futurenonspacelet\@tempa\@xcmidrule}\r
+\def\@xcmidrule{%\r
+   \ifx\@tempa\cmidrule\r
+       \vskip-\@thisrulewidth\r
+       \global\@lastruleclass=\@ne\r
+   \else \ifx\@tempa\morecmidrules\r
+       \vskip \cmidrulesep\r
+       \global\@lastruleclass=\@ne\else\r
+       \vskip \belowrulesep\r
+       \global\@lastruleclass=\z@\r
+   \fi\fi\r
+   \ifnum0=`{\fi}}\r
+\def\@cmidrulea{%\r
+   \multispan\@cmidla&\multispan\@cmidlb\r
+   \unskip\hskip\cmrkern@l%\r
+  {\CT@arc@\leaders\hrule \@height\@thisrulewidth\hfill}%\r
+   \hskip\cmrkern@r\cr}%\r
+\def\@cmidruleb{%\r
+    \multispan\@cmidlb\r
+    \unskip\hskip \cmrkern@l%\r
+   {\CT@arc@\leaders\hrule \@height\@thisrulewidth\hfill}%\r
+    \hskip\cmrkern@r\cr}%\r
+\def\morecmidrules{\noalign{\relax}}\r
+\endinput\r
+%%\r
+%% End of file `booktabs.sty'.\r

diff --git a/build/0-Main_Paper.aux b/build/0-Main_Paper.aux
new file mode 100644 (file)
index 0000000..6d6ae09
--- /dev/null
+++ b/build/0-Main_Paper.aux
@@ -0,0 +1,118 @@
+\relax \r
+\@writefile{toc}{\contentsline {title}{Survey on Hardware Implementation of Random Number Generators on FPGA: Theories and Experiments Analysis}{1}}\r
+\@writefile{toc}{\authcount {1}}\r
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+\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}}\r
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+\newlabel{Chaotic Rundom Number Generator}{{3}{6}}\r
+\citation{merahcoupling}\r
+\citation{hariprasad2013fpga}\r
+\citation{5554284}\r
+\citation{mao2006design}\r
+\citation{mansingka2013fibonacci}\r
+\citation{fang2014fpga}\r
+\citation{bahi2013fpga}\r
+\citation{fischer2003true}\r
+\@writefile{toc}{\contentsline {section}{\numberline {4}True Random Number Generator}{8}}\r
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+\@writefile{toc}{\contentsline {subsection}{\numberline {5.1}Statistic Test}{10}}\r
+\bibstyle{plain}\r
+\bibdata{References}\r
+\bibcite{anghelescu2007vlsi}{1}\r
+\bibcite{banks2008fpga}{2}\r
+\bibcite{cerda2012efficient}{3}\r
+\bibcite{chandrasekaran2008high}{4}\r
+\bibcite{cherkaoui2012comparison}{5}\r
+\@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Hardware Implementation}{12}}\r
+\@writefile{toc}{\contentsline {section}{\numberline {6}Conclusion}{12}}\r
+\@writefile{toc}{\contentsline {section}{\numberline {7}References}{12}}\r
+\bibcite{cherkaoui2013self}{6}\r
+\bibcite{comer2012random}{7}\r
+\bibcite{dabal2011chaos}{8}\r
+\bibcite{dabal2012fpga}{9}\r
+\bibcite{6868789}{10}\r
+\bibcite{dalal2008fast}{11}\r
+\bibcite{dichtl2007high}{12}\r
+\bibcite{dogaru2010algebraic}{13}\r
+\bibcite{echeverria2013high}{14}\r
+\bibcite{6614692}{15}\r
+\bibcite{fischer2003true}{16}\r
+\bibcite{gonzalez2011pseudorandom}{17}\r
+\bibcite{guan2003pseudorandom}{18}\r
+\bibcite{hariprasad2013fpga}{19}\r
+\bibcite{ioana2014fpga}{20}\r
+\bibcite{kang2010fpga}{21}\r
+\bibcite{katti2009efficient}{22}\r
+\bibcite{klein2009design}{23}\r
+\bibcite{kohlbrenner2004embedded}{24}\r
+\bibcite{kotoulas20061}{25}\r
+\bibcite{lee2014metastability}{26}\r
+\bibcite{li2012efficient}{27}\r
+\bibcite{majzoobi2011fpga}{28}\r
+\bibcite{mansingka2013fibonacci}{29}\r
+\bibcite{mao2006design}{30}\r
+\bibcite{merahcoupling}{31}\r
+\bibcite{peris2010cryptographically}{32}\r
+\bibcite{raut2013stream}{33}\r
+\bibcite{sewak2012fpga}{34}\r
+\bibcite{vsimka2005embedded}{35}\r
+\bibcite{simka2011testing}{36}\r
+\bibcite{thomas2014fpga}{37}\r
+\bibcite{thomas2010fpga}{38}\r
+\bibcite{thomas2013lut}{39}\r
+\bibcite{thomas2008fpga}{40}\r
+\bibcite{tian2009mersenne}{41}\r
+\bibcite{tsoi2003compact}{42}\r
+\bibcite{varchola2008hardware}{43}\r
+\bibcite{vasyltsov2008fast}{44}\r
+\bibcite{wu2013hardware}{45}\r
+\bibcite{5554284}{46}\r

diff --git a/build/0-Main_Paper.bbl b/build/0-Main_Paper.bbl
new file mode 100644 (file)
index 0000000..0871e23
--- /dev/null
+++ b/build/0-Main_Paper.bbl
@@ -0,0 +1,311 @@
+\begin{thebibliography}{10}\r
+\r
+\bibitem{anghelescu2007vlsi}\r
+Petre Anghelescu, Emil Sofron, and Silviu Ionita.\r
+\newblock Vlsi implementation of high-speed cellular automata encryption\r
+  algorithm.\r
+\newblock In {\em Semiconductor Conference, 2007. CAS 2007. International},\r
+  volume~2, pages 509--512. IEEE, 2007.\r
+\r
+\bibitem{bahi2013fpga}\r
+Jacques~M Bahi, Xiaole Fang, Christophe Guyeux, and Laurent Larger.\r
+\newblock Fpga design for pseudorandom number generator based on chaotic\r
+  iteration used in information hiding application.\r
+\newblock {\em Appl. Math}, 7(6):2175--2188, 2013.\r
+\r
+\bibitem{banks2008fpga}\r
+Simon Banks, Philip Beadling, and Andras Ferencz.\r
+\newblock Fpga implementation of pseudo random number generators for monte\r
+  carlo methods in quantitative finance.\r
+\newblock In {\em Reconfigurable Computing and FPGAs, 2008. ReConFig'08.\r
+  International Conference on}, pages 271--276. IEEE, 2008.\r
+\r
+\bibitem{cerda2012efficient}\r
+Juan~C Cerda, Chris~D Martinez, Jonathan~M Comer, and David~HK Hoe.\r
+\newblock An efficient fpga random number generator using lfsrs and cellular\r
+  automata.\r
+\newblock In {\em Circuits and Systems (MWSCAS), 2012 IEEE 55th International\r
+  Midwest Symposium on}, pages 912--915. IEEE, 2012.\r
+\r
+\bibitem{chandrasekaran2008high}\r
+Shrutisagar Chandrasekaran and Abbes Amira.\r
+\newblock High performance fpga implementation of the mersenne twister.\r
+\newblock In {\em Electronic Design, Test and Applications, 2008. DELTA 2008.\r
+  4th IEEE International Symposium on}, pages 482--485. IEEE, 2008.\r
+\r
+\bibitem{cherkaoui2012comparison}\r
+Abdelkarim Cherkaoui, Viktor Fischer, Alain Aubert, and Laurent Fesquet.\r
+\newblock Comparison of self-timed ring and inverter ring oscillators as\r
+  entropy sources in fpgas.\r
+\newblock In {\em Design, Automation \& Test in Europe Conference \& Exhibition\r
+  (DATE), 2012}, pages 1325--1330. IEEE, 2012.\r
+\r
+\bibitem{cherkaoui2013self}\r
+Abdelkarim Cherkaoui, Viktor Fischer, Alain Aubert, and Laurent Fesquet.\r
+\newblock A self-timed ring based true random number generator.\r
+\newblock In {\em Asynchronous Circuits and Systems (ASYNC), 2013 IEEE 19th\r
+  International Symposium on}, pages 99--106. IEEE, 2013.\r
+\r
+\bibitem{comer2012random}\r
+Jonathan~M Comer, Juan~C Cerda, Chris~D Martinez, and David~HK Hoe.\r
+\newblock Random number generators using cellular automata implemented on\r
+  fpgas.\r
+\newblock In {\em System Theory (SSST), 2012 44th Southeastern Symposium on},\r
+  pages 67--72. IEEE, 2012.\r
+\r
+\bibitem{dabal2011chaos}\r
+Pawel Dabal and Ryszard Pelka.\r
+\newblock A chaos-based pseudo-random bit generator implemented in fpga device.\r
+\newblock In {\em Design and Diagnostics of Electronic Circuits \& Systems\r
+  (DDECS), 2011 IEEE 14th International Symposium on}, pages 151--154. IEEE,\r
+  2011.\r
+\r
+\bibitem{dabal2012fpga}\r
+Pawel Dabal and Ryszard Pelka.\r
+\newblock Fpga implementation of chaotic pseudo-random bit generators.\r
+\newblock In {\em Mixed Design of Integrated Circuits and Systems (MIXDES),\r
+  2012 Proceedings of the 19th International Conference}, pages 260--264. IEEE,\r
+  2012.\r
+\r
+\bibitem{6868789}\r
+Pawel Dabal and Ryszard Pelka.\r
+\newblock A study on fast pipelined pseudo-random number generator based on\r
+  chaotic logistic map.\r
+\newblock In {\em Design and Diagnostics of Electronic Circuits Systems, 17th\r
+  International Symposium on}, pages 195--200, April 2014.\r
+\r
+\bibitem{dalal2008fast}\r
+Ishaan~L Dalal, Jared Harwayne-Gidansky, and Deian Stefan.\r
+\newblock On the fast generation of long-period pseudorandom number sequences.\r
+\newblock In {\em Systems, Applications and Technology Conference, 2008 IEEE\r
+  Long Island}, pages 1--9. IEEE, 2008.\r
+\r
+\bibitem{dichtl2007high}\r
+Markus Dichtl and Jovan~Dj Goli{\'c}.\r
+\newblock {\em High-speed true random number generation with logic gates only}.\r
+\newblock Springer, 2007.\r
+\r
+\bibitem{dogaru2010algebraic}\r
+Ioana Dogaru and Radu Dogaru.\r
+\newblock Algebraic normal form for rapid prototyping of elementary hybrid\r
+  cellular automata in fpga.\r
+\newblock In {\em Electrical and Electronics Engineering (ISEEE), 2010 3rd\r
+  International Symposium on}, pages 277--280. IEEE, 2010.\r
+\r
+\bibitem{echeverria2013high}\r
+Pedro Echeverr{\'\i}a and Marisa L{\'o}pez-Vallejo.\r
+\newblock High performance fpga-oriented mersenne twister uniform random number\r
+  generator.\r
+\newblock {\em Journal of Signal Processing Systems}, 71(2):105--109, 2013.\r
+\r
+\bibitem{6614692}\r
+E.~Erkek and T.~Tuncer.\r
+\newblock The implementation of asg and sg random number generators.\r
+\newblock In {\em System Science and Engineering (ICSSE), 2013 International\r
+  Conference on}, pages 363--367, July 2013.\r
+\r
+\bibitem{fang2014fpga}\r
+Xiaole Fang, Qianxue Wang, Christophe Guyeux, and Jacques~M Bahi.\r
+\newblock Fpga acceleration of a pseudorandom number generator based on chaotic\r
+  iterations.\r
+\newblock {\em Journal of Information Security and Applications}, 19(1):78--87,\r
+  2014.\r
+\r
+\bibitem{fischer2003true}\r
+Viktor Fischer and Milo{\v{s}} Drutarovsk{\`y}.\r
+\newblock True random number generator embedded in reconfigurable hardware.\r
+\newblock In {\em Cryptographic Hardware and Embedded Systems-CHES 2002}, pages\r
+  415--430. Springer, 2003.\r
+\r
+\bibitem{gonzalez2011pseudorandom}\r
+Victor~R Gonzalez-Diaz, Fabio Pareschi, Gianluca Setti, and Franco Maloberti.\r
+\newblock A pseudorandom number generator based on time-variant recursion of\r
+  accumulators.\r
+\newblock {\em Circuits and Systems II: Express Briefs, IEEE Transactions on},\r
+  58(9):580--584, 2011.\r
+\r
+\bibitem{guan2003pseudorandom}\r
+Sheng-Uei Guan and Syn~Kiat Tan.\r
+\newblock Pseudorandom number generator--the self programmable cellular\r
+  automata.\r
+\newblock In {\em Knowledge-Based Intelligent Information and Engineering\r
+  Systems}, pages 1230--1235. Springer, 2003.\r
+\r
+\bibitem{hariprasad2013fpga}\r
+NagaDeepa Hariprasad et~al.\r
+\newblock Fpga implementation of a cryptography technology using pseudo random\r
+  number generator.\r
+\newblock In {\em International Journal of Engineering Research and\r
+  Technology}, volume~2. ESRSA Publications, 2013.\r
+\r
+\bibitem{ioana2014fpga}\r
+Dogaru Ioana and Dogaru Radu.\r
+\newblock Fpga implementation and evaluation of two cryptographically secure\r
+  hybrid cellular automata.\r
+\newblock In {\em Communications (COMM), 2014 10th International Conference\r
+  on}, pages 1--4. IEEE, 2014.\r
+\r
+\bibitem{katti2009efficient}\r
+Raj~S Katti and Sudarshan~K Srinivasan.\r
+\newblock Efficient hardware implementation of a new pseudo-random bit sequence\r
+  generator.\r
+\newblock In {\em Circuits and Systems, 2009. ISCAS 2009. IEEE International\r
+  Symposium on}, pages 1393--1396. IEEE, 2009.\r
+\r
+\bibitem{klein2009design}\r
+Cristian Klein, Octavian Cret, and Alin Suciu.\r
+\newblock Design and implementation of a high quality and high throughput trng\r
+  in fpga.\r
+\newblock {\em arXiv preprint arXiv:0906.4762}, 2009.\r
+\r
+\bibitem{kohlbrenner2004embedded}\r
+Paul Kohlbrenner and Kris Gaj.\r
+\newblock An embedded true random number generator for fpgas.\r
+\newblock In {\em Proceedings of the 2004 ACM/SIGDA 12th international\r
+  symposium on Field programmable gate arrays}, pages 71--78. ACM, 2004.\r
+\r
+\bibitem{kotoulas20061}\r
+Leonidas Kotoulas, Demetrios Tsarouchis, Georgios~Ch Sirakoulis, and Ioannis\r
+  Andreadis.\r
+\newblock 1-d cellular automaton for pseudorandom number generation and its\r
+  reconfigurable hardware implementation.\r
+\newblock In {\em Circuits and Systems, 2006. ISCAS 2006. Proceedings. 2006\r
+  IEEE International Symposium on}, pages 4--pp. IEEE, 2006.\r
+\r
+\bibitem{lee2014metastability}\r
+Donggeon Lee, Hwajeong Seo, and Howon Kim.\r
+\newblock Metastability-based feedback method for enhancing fpga-based trng.\r
+\newblock {\em International Journal of Multimedia \& Ubiquitous Engineering},\r
+  9(3), 2014.\r
+\r
+\bibitem{li2012efficient}\r
+Yuan Li, Jiang Jiang, Hanqiang Cheng, Minxuan Zhang, and Shaojun Wei.\r
+\newblock An efficient hardware random number generator based on the mt method.\r
+\newblock In {\em Computer and Information Technology (CIT), 2012 IEEE 12th\r
+  International Conference on}, pages 1011--1015. IEEE, 2012.\r
+\r
+\bibitem{majzoobi2011fpga}\r
+Mehrdad Majzoobi, Farinaz Koushanfar, and Srinivas Devadas.\r
+\newblock Fpga-based true random number generation using circuit metastability\r
+  with adaptive feedback control.\r
+\newblock In {\em Cryptographic Hardware and Embedded Systems--CHES 2011},\r
+  pages 17--32. Springer, 2011.\r
+\r
+\bibitem{mansingka2013fibonacci}\r
+Abhinav~S Mansingka, Mohamed~L Barakat, M~Affan Zidan, Ahmed~G Radwan, and\r
+  Khaled~N Salama.\r
+\newblock Fibonacci-based hardware post-processing for non-autonomous signum\r
+  hyperchaotic system.\r
+\newblock In {\em IT Convergence and Security (ICITCS), 2013 International\r
+  Conference on}, pages 1--4. IEEE, 2013.\r
+\r
+\bibitem{mao2006design}\r
+Yaobin Mao, Liu Cao, and Wenbo Liu.\r
+\newblock Design and fpga implementation of a pseudo-random bit sequence\r
+  generator using spatiotemporal chaos.\r
+\newblock In {\em Communications, Circuits and Systems Proceedings, 2006\r
+  International Conference on}, volume~3, pages 2114--2118. IEEE, 2006.\r
+\r
+\bibitem{merahcoupling}\r
+Lahcene Merah, Adda ALI-PACHA, and Naima~HADJ SAID.\r
+\newblock Coupling two chaotic systems in order to increasing the security of a\r
+  communication system-study and real time fpga implementation.\r
+\r
+\bibitem{peris2010cryptographically}\r
+Pedro Peris-Lopez, Enrique San~Millan, Jan~CA van~der Lubbe, and Luis~A\r
+  Entrena.\r
+\newblock Cryptographically secure pseudo-random bit generator for rfid tags.\r
+\newblock In {\em Internet Technology and Secured Transactions (ICITST), 2010\r
+  International Conference for}, pages 1--6. IEEE, 2010.\r
+\r
+\bibitem{raut2013stream}\r
+Lakshman Raut and David~HK Hoe.\r
+\newblock Stream cipher design using cellular automata implemented on fpgas.\r
+\newblock In {\em System Theory (SSST), 2013 45th Southeastern Symposium on},\r
+  pages 146--149. IEEE, 2013.\r
+\r
+\bibitem{sewak2012fpga}\r
+Khushboo Sewak, Praveena Rajput, and Amit~Kumar Panda.\r
+\newblock Fpga implementation of 16 bit bbs and lfsr pn sequence generator: A\r
+  comparative study.\r
+\newblock In {\em Electrical, Electronics and Computer Science (SCEECS), 2012\r
+  IEEE Students' Conference on}, pages 1--3. IEEE, 2012.\r
+\r
+\bibitem{vsimka2005embedded}\r
+Martin {\v{S}}imka, Milo{\v{s}} Drutarovsk{\`y}, and Viktor Fischer.\r
+\newblock Embedded true random number generator in actel fpgas.\r
+\newblock In {\em Workshop on Cryptographic Advances in Secure\r
+  Hardware--CRASH}, pages 6--7, 2005.\r
+\r
+\bibitem{simka2011testing}\r
+Martin Simka, Milos Drutarovsk{\`y}, Viktor Fischer, et~al.\r
+\newblock Testing of pll-based true random number generator in changingworking\r
+  conditions.\r
+\newblock {\em RADIOENGINEERING,}, 20:94--101, 2011.\r
+\r
+\bibitem{thomas2010fpga}\r
+David~B Thomas and Wayne Luk.\r
+\newblock Fpga-optimised uniform random number generators using luts and shift\r
+  registers.\r
+\newblock In {\em Field Programmable Logic and Applications (FPL), 2010\r
+  International Conference on}, pages 77--82. IEEE, 2010.\r
+\r
+\bibitem{thomas2013lut}\r
+David~B Thomas and Wayne Luk.\r
+\newblock The lut-sr family of uniform random number generators for fpga\r
+  architectures.\r
+\newblock {\em Very Large Scale Integration (VLSI) Systems, IEEE Transactions\r
+  on}, 21(4):761--770, 2013.\r
+\r
+\bibitem{thomas2008fpga}\r
+David~Barrie Thomas and Wayne Luk.\r
+\newblock Fpga-optimised high-quality uniform random number generators.\r
+\newblock In {\em Proceedings of the 16th international ACM/SIGDA symposium on\r
+  Field programmable gate arrays}, pages 235--244. ACM, 2008.\r
+\r
+\bibitem{tian2009mersenne}\r
+Xiang Tian and Khaled Benkrid.\r
+\newblock Mersenne twister random number generation on fpga, cpu and gpu.\r
+\newblock In {\em Adaptive Hardware and Systems, 2009. AHS 2009. NASA/ESA\r
+  Conference on}, pages 460--464. IEEE, 2009.\r
+\r
+\bibitem{tkacik2003hardware}\r
+Thomas~E Tkacik.\r
+\newblock A hardware random number generator.\r
+\newblock In {\em Cryptographic Hardware and Embedded Systems-CHES 2002}, pages\r
+  450--453. Springer, 2003.\r
+\r
+\bibitem{tsoi2003compact}\r
+Kuen~Hung Tsoi, KH~Leung, and Philip Heng~Wai Leong.\r
+\newblock Compact fpga-based true and pseudo random number generators.\r
+\newblock In {\em Field-Programmable Custom Computing Machines, 2003. FCCM\r
+  2003. 11th Annual IEEE Symposium on}, pages 51--61. IEEE, 2003.\r
+\r
+\bibitem{varchola2008hardware}\r
+Michal Varchola, Milos Drutarovsky, Robert Fouquet, and Viktor Fischer.\r
+\newblock Hardware platform for testing performance of trngs embedded in actel\r
+  fusion fpga.\r
+\newblock In {\em Radioelektronika, 2008 18th International Conference}, pages\r
+  1--4. IEEE, 2008.\r
+\r
+\bibitem{vasyltsov2008fast}\r
+Ihor Vasyltsov, Eduard Hambardzumyan, Young-Sik Kim, and Bohdan Karpinskyy.\r
+\newblock Fast digital trng based on metastable ring oscillator.\r
+\newblock In {\em Cryptographic Hardware and Embedded Systems--CHES 2008},\r
+  pages 164--180. Springer, 2008.\r
+\r
+\bibitem{wu2013hardware}\r
+Shengfei Wu, Jiang Jiang, and Yuzhuo Fu.\r
+\newblock Hardware architecture for the parallel generation of long-period\r
+  random numbers using mt method.\r
+\newblock In {\em Computer Engineering and Technology}, pages 8--15. Springer,\r
+  2013.\r
+\r
+\bibitem{5554284}\r
+Ziqi Zhu and Hanping Hu.\r
+\newblock A dynamic nonlinear transform arithmetic for improving the properties\r
+  chaos-based prng.\r
+\newblock In {\em Intelligent Control and Automation (WCICA), 2010 8th World\r
+  Congress on}, pages 7055--7060, July 2010.\r
+\r
+\end{thebibliography}\r

diff --git a/build/0-Main_Paper.blg b/build/0-Main_Paper.blg
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+This is BibTeX, Version 0.99dThe top-level auxiliary file: build/0-Main_Paper.aux\r
+The style file: plain.bst\r
+Database file #1: References.bib\r
+Warning--can't use both volume and number fields in hariprasad2013fpga\r
+Warning--empty journal in merahcoupling\r
+Warning--empty year in merahcoupling\r
+(There were 3 warnings)\r

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+                                        \r
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+ \r
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diff --git a/build/4-Statistic_Test.log b/build/4-Statistic_Test.log
new file mode 100644 (file)
index 0000000..b1665bc
--- /dev/null
+++ b/build/4-Statistic_Test.log
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+! LaTeX Error: \begin{document} ended by \end{table}.\r
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+See the LaTeX manual or LaTeX Companion for explanation.\r
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+Your command was ignored.\r
+Type  I <command> <return>  to replace it with another command,\r
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+)\r
+! Emergency stop.\r
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+                        \r
+*** (job aborted, no legal \end found)\r
+\r
+ \r
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+!  ==> Fatal error occurred, no output PDF file produced!\r

diff --git a/comparaison_prng.png b/comparaison_prng.png
new file mode 100644 (file)
index 0000000..b3de478
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diff --git a/definitions.log b/definitions.log
new file mode 100644 (file)
index 0000000..efe0ace
--- /dev/null
+++ b/definitions.log
@@ -0,0 +1,5629 @@
+This is pdfTeX, Version 3.1415926-2.5-1.40.14 (MiKTeX 2.9 64-bit) (preloaded format=pdflatex 2014.12.7)  31 DEC 2014 09:47\r
+entering extended mode\r
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+LaTeX2e <2014/05/01>\r
+Babel <3.9l> and hyphenation patterns for 68 languages loaded.\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.1 L\r
+     FSR:\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no : in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 1--3\r
+[]\r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.4 c\r
+     hoosing a feedback vector which corresponds to a primitive polynomial t...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 4--6\r
+[]\r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.7 T\r
+     he register consists of a series of cells that are set by an initializa...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no E in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 7--8\r
+[]\r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.9 T\r
+     he tap sequence of an LFSR can be represented as a polynomial mod 2. Th...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no ' in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no D in font nullfont!\r
+Missing character: There is no ' in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 9--10\r
+[]\r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.11 L\r
+      ikewise, because the register has a finite number of possible states, ...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no H in font nullfont!\r
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+See the LaTeX manual or LaTeX Companion for explanation.\r
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+ ...                                              \r
+                                                  \r
+l.13 F\r
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+ ...                                              \r
+                                                  \r
+l.16 M\r
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+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no : in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 16--19\r
+[]\r
+ []\r
+\r
+\r
+Overfull \hbox (34.84265pt too wide) in paragraph at lines 16--19\r
+$\OML/cmm/m/it/10 X[] \OT1/cmr/m/n/10 =$\r
+ []\r
+\r
+\r
+Overfull \hbox (97.47482pt too wide) in paragraph at lines 16--19\r
+$\OML/cmm/m/it/10 X[]xor\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X[]\OMS/cmsy/m/n/10 j\r
+\OML/cmm/m/it/10 X[]\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 A$ \r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.20 W\r
+      ith | as the bitwise or and xor as the bitwise exclusive or (XOR), $x_...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no W in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no | in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 20--21\r
+[]\r
+ []\r
+\r
+\r
+Overfull \hbox (10.94333pt too wide) in paragraph at lines 20--21\r
+$\OML/cmm/m/it/10 x[]$\r
+ []\r
+\r
+\r
+Overfull \hbox (8.78473pt too wide) in paragraph at lines 20--21\r
+$\OML/cmm/m/it/10 x[]$\r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.22 A\r
+       is the twist transformation which is defined in rational normal form.\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 22--23\r
+[]\r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.24 F\r
+      inally, to improve the statistical properties of the generator the num...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no à in font nullfont!\r
+Missing character: There is no \97 in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no : in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no = in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+! Missing $ inserted.\r
+<inserted text> \r
+                $\r
+l.24 ...ion by a w × w binary matrix (T): [z = x_\r
+                                                  {k+n} T] being z the outpu...\r
+I've inserted a begin-math/end-math symbol since I think\r
+you left one out. Proceed, with fingers crossed.\r
+\r
+! Missing $ inserted.\r
+<inserted text> \r
+                $\r
+l.25 \r
+     \r
+I've inserted a begin-math/end-math symbol since I think\r
+you left one out. Proceed, with fingers crossed.\r
+\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 24--25\r
+[]\r
+ []\r
+\r
+\r
+Overfull \hbox (168.04283pt too wide) in paragraph at lines 24--25\r
+$[]\OML/cmm/m/it/10 T\OT1/cmr/m/n/10 ]\OML/cmm/m/it/10 beingztheoutputofthegene\r
+rator:$ \r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.26 T\r
+      he algorithm is split into three different tasks:\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no : in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no : in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
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+Missing character: There is no . in font nullfont!\r
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+Missing character: There is no r in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
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+\r
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+ []\r
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+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.31 B\r
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+Missing character: There is no B in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no : in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no c in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no H in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no B in font nullfont!\r
+Missing character: There is no B in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
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+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no L in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no â in font nullfont!\r
+Missing character: There is no \82 in font nullfont!\r
+Missing character: There is no ¬ in font nullfont!\r
+Missing character: There is no Z in font nullfont!\r
+! Missing $ inserted.\r
+<inserted text> \r
+                $\r
+l.32 ...r bit generated. Let the seed is s, s€Z_\r
+                                                  {n},\r
+I've inserted a begin-math/end-math symbol since I think\r
+you left one out. Proceed, with fingers crossed.\r
+\r
+Missing character: There is no X in font nullfont!\r
+! Missing $ inserted.\r
+<inserted text> \r
+                $\r
+l.34 $X_\r
+        {i}=S^{2}mod n$ and the bit $bi=X_{1}mod 2$ For ith iteration\r
+I've inserted a begin-math/end-math symbol since I think\r
+you left one out. Proceed, with fingers crossed.\r
+\r
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+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.40 C\r
+      A:\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
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+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
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+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
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+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no u in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no = in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no 3 in font nullfont!\r
+Missing character: There is no = in font nullfont!\r
+Missing character: There is no 8 in font nullfont!\r
+Missing character: There is no ] in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no 8 in font nullfont!\r
+Missing character: There is no = in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no 5 in font nullfont!\r
+Missing character: There is no 6 in font nullfont!\r
+Missing character: There is no ] in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no 8 in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no W in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no â in font nullfont!\r
+Missing character: There is no \88 in font nullfont!\r
+Missing character: There is no \88 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no = in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no â in font nullfont!\r
+Missing character: There is no \80 in font nullfont!\r
+Missing character: There is no \93 in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no ] in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no F in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no x in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no 7 in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no 6 in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no 5 in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no 3 in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no 2 in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no = in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no 1 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no 3 in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no X in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no 0 in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no t in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no I in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no I in font nullfont!\r
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+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no i in font nullfont!\r
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+Missing character: There is no e in font nullfont!\r
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+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 40--43\r
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+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.46 C\r
+      HAOS:\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no H in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no O in font nullfont!\r
+Missing character: There is no S in font nullfont!\r
+Missing character: There is no : in font nullfont!\r
+Missing character: There is no C in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
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+Missing character: There is no o in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
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+Missing character: There is no , in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
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+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
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+Missing character: There is no c in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
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+Missing character: There is no d in font nullfont!\r
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+Missing character: There is no - in font nullfont!\r
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+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
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+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no [ in font nullfont!\r
+Missing character: There is no 4 in font nullfont!\r
+Missing character: There is no ] in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no H in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no v in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no k in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no I in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no q in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no z in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no A in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+\r
+Overfull \hbox (20.0pt too wide) in paragraph at lines 46--48\r
+[]\r
+ []\r
+\r
+\r
+! LaTeX Error: Missing \begin{document}.\r
+\r
+See the LaTeX manual or LaTeX Companion for explanation.\r
+Type  H <return>  for immediate help.\r
+ ...                                              \r
+                                                  \r
+l.49 T\r
+      heoretically, chaos based Pseudo-Random Number Generators (PRNG) is pr...\r
+\r
+You're in trouble here.  Try typing  <return>  to proceed.\r
+If that doesn't work, type  X <return>  to quit.\r
+\r
+Missing character: There is no T in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no - in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no u in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no b in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no ( in font nullfont!\r
+Missing character: There is no P in font nullfont!\r
+Missing character: There is no R in font nullfont!\r
+Missing character: There is no N in font nullfont!\r
+Missing character: There is no G in font nullfont!\r
+Missing character: There is no ) in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no i in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no d in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
+Missing character: There is no s in font nullfont!\r
+Missing character: There is no w in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no l in font nullfont!\r
+Missing character: There is no . in font nullfont!\r
+Missing character: There is no H in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no n in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no , in font nullfont!\r
+Missing character: There is no f in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no m in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no h in font nullfont!\r
+Missing character: There is no e in font nullfont!\r
+Missing character: There is no c in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no y in font nullfont!\r
+Missing character: There is no p in font nullfont!\r
+Missing character: There is no t in font nullfont!\r
+Missing character: There is no o in font nullfont!\r
+Missing character: There is no g in font nullfont!\r
+Missing character: There is no r in font nullfont!\r
+Missing character: There is no a in font nullfont!\r
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diff --git a/definitions.tex b/definitions.tex
new file mode 100644 (file)
index 0000000..f6e425f
--- /dev/null
+++ b/definitions.tex
@@ -0,0 +1,52 @@
+LFSR:
+Linear feedback shift registers (LFSRs) make extremely good pseudo-random pattern generators and are one class of generators for random key-streams which can be used in stream ciphers, and are well suited to low power or high speed requirements.
+
+choosing a feedback vector which corresponds to a primitive polynomial the generator will provide a key-stream sequence
+that iterates through all 2n-l possible linear states, where n is the number of stages.
+
+The register consists of a series of cells that are set by an initialization vector that is most often, the secret key. The behavior of the register is regulated by a clock and at each clocking instant, the contents of the cells of the register are shifted right by one position, and the Exclusive-OR (XOR) of a subset of the cell contents is placed in the leftmost cell.
+
+The tap sequence of an LFSR can be represented as a polynomial mod 2. This means that the coefficients of the polynomial must be 1 's or D's. This is called the feedback polynomial or characteristic polynomial.
+
+Likewise, because the register has a finite number of possible states, it must eventually enter a repeating cycle. However, an LFSR with a well-chosen feedback function can produce a sequence of bits which appears random and which has a very long cycle.
+
+For example, the polynomial $x^{6} + x^{5} + x^{0}$ translates to the state transition function:
+$s_{i+1} = [s{i,5} /xor s_{i,6} , s_{i,1} , s_{i,2} , s_{i,3} , s_{i,4} , s_{i,5}]$
+
+MT:
+The Mersenne Twister algorithm generates a sequence of word vectors, which are considered to be uniform pseudorandom integers between 0 and 2w – 1. Dividing by 2w – 1, each word vector can be a real number in [0, 1]. With the restriction that 2nw − r − 1 is a Mersenne prime. For a word x with w bit width, it is expressed as the recurrence relation:
+$X_{k+n} = X_{k+m} xor (X_{k} ^{u} | X_{k+1} ^{l})A$
+
+With | as the bitwise or and xor as the bitwise exclusive or (XOR), $x_{u}$, $x_{l}$ being x with upper and lower bitmasks applied.
+
+A is the twist transformation which is defined in rational normal form.
+
+Finally, to improve the statistical properties of the generator the numbers generated in the recurrence are modified, tempered, with a bitwise multiplication by a w × w binary matrix (T): [z = x_{k+n} T] being z the output of the generator.
+
+The algorithm is split into three different tasks:
+1. Initialization: generation of the first n vectors of the recurrence from a seed.
+2. Obtaining the linear recurrence.
+3. The tempering of the generated variables from the linear recurrence.
+
+BBS:
+To use the concept of quadratic residue, Blum, Blum and Shub proposed to choose the two odd primes p and q, and compute n= p*q. Then square modulo n of seed is computed and theresulting number is considered to be the first number generated. The seed is replaced with generated number insubsequent iterations and a square modulo n is computedagain, generating a number per iteration. To geta bit sequence, least significant bit of generated number isextracted per iteration and is added to the generated binarysequence. Hence BBS needs only one square (ormultiplication) per bit generated. Let the seed is s, s€Z_{n}, 
+then first number is
+$X_{i}=S^{2}mod n$ and the bit $bi=X_{1}mod 2$ For ith iteration
+$X_{i}=X{_{i-1}}^{2}mod n$ and $b_{i}=X_{i}mod 2$
+This way the algorithm needs to compute only one square operation to generate a bit, which is much less than any of the other cryptographically secure algorithm.
+
+
+
+CA:
+The CA will evolve in discrete time steps, where the next state of each cell interacts with their immediate neighbors based upon a local rule and updated simultaneously were initialized using six random seeds.. A cellular automata can be viewed as a state machine consisting of an array of cells which hold their current states. where the top row represents the eight [2x2x2 = 23 = 8] possible binary configurations for a three-cell neighborhood and a total of [28 = 256] elementary CA, each of which can be indexed with an 8-bit binary number and the bottom row represents the next state for the cell of interest. While higher dimensions and state values can be used.
+The algorithm used to compute the next cell state is referred to as the CA local rule which have certain states [S ∈ {0,1}, i = 0,1,.., N – 1 ]. For example, the rule number of { I7I6I5I3I2I1I0 =00011110} is 30. If the rule of a CA involves only XOR logic, then it is called a linear rule. Rules involving XNOR logic are referred to as complement rules. A CA with all the cells having linear rules is called a linear CA, whereas a CA having a combination of XOR and XNOR rules is called additive CA. If all the cells obey the same rule, then the CA is said to be a uniform CA, otherwise, it is a hybrid CA. A CA is said to be a null boundary CA if both the left and right neighbour of the leftmost and rightmost terminal cell is connected to logic 0-state. On the fact that the CAs from class III are chaotic dynamical systems and CAs from class II exhibit periodic behaviour (each state lies in some cycles).
+
+
+
+CHAOS:
+Chaos theory is well-studied in mathematics and nature phenomenal that widely exists in nonlinear systems [1, 2, 3]. It has many exceptional good properties such as the sensitivity to initial conditions and parameters, the pseudo-randomness, the topological transitivity, being irregular, non-periodicity, unpredictability, and ability to reciprocal synchronization [4]. However, in practice these solutions have also some important drawbacks and limitations, because the chaotic nature of generated series is non-ideal, due to the limited precision of arithmetic operations and quantization. As a result, instead of random number sequences we get pseudo-random or periodic series. In practice, the chaotic nature of the obtained series is non ideal, due to the finite precision of arithmetic and quantization. As a result we get pseudo-random or periodic series.
+
+Theoretically, chaos based Pseudo-Random Number Generators (PRNG) is proofed with good randomness and infinite period as well. Hence, from the cryptographer’s point of view, the most essential drawbacks of the chaotic systems are: weak resistance to recovery of parameters, relatively low digital precision comparing to the analog generators, periodicity problems, non ideal probability distributions, higher level of correlation and suffer from serious dynamical degradations due to quantization error and finite representation of system states, including loss of periodicity and shorter pseudo-orbits. 
+
+
+TRNG:

diff --git a/definitions.tex.bak b/definitions.tex.bak
new file mode 100644 (file)
index 0000000..f6e425f
--- /dev/null
+++ b/definitions.tex.bak
@@ -0,0 +1,52 @@
+LFSR:
+Linear feedback shift registers (LFSRs) make extremely good pseudo-random pattern generators and are one class of generators for random key-streams which can be used in stream ciphers, and are well suited to low power or high speed requirements.
+
+choosing a feedback vector which corresponds to a primitive polynomial the generator will provide a key-stream sequence
+that iterates through all 2n-l possible linear states, where n is the number of stages.
+
+The register consists of a series of cells that are set by an initialization vector that is most often, the secret key. The behavior of the register is regulated by a clock and at each clocking instant, the contents of the cells of the register are shifted right by one position, and the Exclusive-OR (XOR) of a subset of the cell contents is placed in the leftmost cell.
+
+The tap sequence of an LFSR can be represented as a polynomial mod 2. This means that the coefficients of the polynomial must be 1 's or D's. This is called the feedback polynomial or characteristic polynomial.
+
+Likewise, because the register has a finite number of possible states, it must eventually enter a repeating cycle. However, an LFSR with a well-chosen feedback function can produce a sequence of bits which appears random and which has a very long cycle.
+
+For example, the polynomial $x^{6} + x^{5} + x^{0}$ translates to the state transition function:
+$s_{i+1} = [s{i,5} /xor s_{i,6} , s_{i,1} , s_{i,2} , s_{i,3} , s_{i,4} , s_{i,5}]$
+
+MT:
+The Mersenne Twister algorithm generates a sequence of word vectors, which are considered to be uniform pseudorandom integers between 0 and 2w – 1. Dividing by 2w – 1, each word vector can be a real number in [0, 1]. With the restriction that 2nw − r − 1 is a Mersenne prime. For a word x with w bit width, it is expressed as the recurrence relation:
+$X_{k+n} = X_{k+m} xor (X_{k} ^{u} | X_{k+1} ^{l})A$
+
+With | as the bitwise or and xor as the bitwise exclusive or (XOR), $x_{u}$, $x_{l}$ being x with upper and lower bitmasks applied.
+
+A is the twist transformation which is defined in rational normal form.
+
+Finally, to improve the statistical properties of the generator the numbers generated in the recurrence are modified, tempered, with a bitwise multiplication by a w × w binary matrix (T): [z = x_{k+n} T] being z the output of the generator.
+
+The algorithm is split into three different tasks:
+1. Initialization: generation of the first n vectors of the recurrence from a seed.
+2. Obtaining the linear recurrence.
+3. The tempering of the generated variables from the linear recurrence.
+
+BBS:
+To use the concept of quadratic residue, Blum, Blum and Shub proposed to choose the two odd primes p and q, and compute n= p*q. Then square modulo n of seed is computed and theresulting number is considered to be the first number generated. The seed is replaced with generated number insubsequent iterations and a square modulo n is computedagain, generating a number per iteration. To geta bit sequence, least significant bit of generated number isextracted per iteration and is added to the generated binarysequence. Hence BBS needs only one square (ormultiplication) per bit generated. Let the seed is s, s€Z_{n}, 
+then first number is
+$X_{i}=S^{2}mod n$ and the bit $bi=X_{1}mod 2$ For ith iteration
+$X_{i}=X{_{i-1}}^{2}mod n$ and $b_{i}=X_{i}mod 2$
+This way the algorithm needs to compute only one square operation to generate a bit, which is much less than any of the other cryptographically secure algorithm.
+
+
+
+CA:
+The CA will evolve in discrete time steps, where the next state of each cell interacts with their immediate neighbors based upon a local rule and updated simultaneously were initialized using six random seeds.. A cellular automata can be viewed as a state machine consisting of an array of cells which hold their current states. where the top row represents the eight [2x2x2 = 23 = 8] possible binary configurations for a three-cell neighborhood and a total of [28 = 256] elementary CA, each of which can be indexed with an 8-bit binary number and the bottom row represents the next state for the cell of interest. While higher dimensions and state values can be used.
+The algorithm used to compute the next cell state is referred to as the CA local rule which have certain states [S ∈ {0,1}, i = 0,1,.., N – 1 ]. For example, the rule number of { I7I6I5I3I2I1I0 =00011110} is 30. If the rule of a CA involves only XOR logic, then it is called a linear rule. Rules involving XNOR logic are referred to as complement rules. A CA with all the cells having linear rules is called a linear CA, whereas a CA having a combination of XOR and XNOR rules is called additive CA. If all the cells obey the same rule, then the CA is said to be a uniform CA, otherwise, it is a hybrid CA. A CA is said to be a null boundary CA if both the left and right neighbour of the leftmost and rightmost terminal cell is connected to logic 0-state. On the fact that the CAs from class III are chaotic dynamical systems and CAs from class II exhibit periodic behaviour (each state lies in some cycles).
+
+
+
+CHAOS:
+Chaos theory is well-studied in mathematics and nature phenomenal that widely exists in nonlinear systems [1, 2, 3]. It has many exceptional good properties such as the sensitivity to initial conditions and parameters, the pseudo-randomness, the topological transitivity, being irregular, non-periodicity, unpredictability, and ability to reciprocal synchronization [4]. However, in practice these solutions have also some important drawbacks and limitations, because the chaotic nature of generated series is non-ideal, due to the limited precision of arithmetic operations and quantization. As a result, instead of random number sequences we get pseudo-random or periodic series. In practice, the chaotic nature of the obtained series is non ideal, due to the finite precision of arithmetic and quantization. As a result we get pseudo-random or periodic series.
+
+Theoretically, chaos based Pseudo-Random Number Generators (PRNG) is proofed with good randomness and infinite period as well. Hence, from the cryptographer’s point of view, the most essential drawbacks of the chaotic systems are: weak resistance to recovery of parameters, relatively low digital precision comparing to the analog generators, periodicity problems, non ideal probability distributions, higher level of correlation and suffer from serious dynamical degradations due to quantization error and finite representation of system states, including loss of periodicity and shorter pseudo-orbits. 
+
+
+TRNG:

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+16 0 15 0 15 0 1648 4612 4 MP stroke\r
+DO\r
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+15 0 15 0 16 0 15 0 15 0 16 0 15 0 15 0\r
+15 0 16 0 15 0 15 0 16 0 15 0 15 0 16 0\r
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+16 0 15 1 15 0 15 1 16 0 15 1 15 1 16 1\r
+15 2 15 1 16 1 15 2 15 2 16 2 15 3 15 2\r
+15 4 16 3 15 4 15 4 16 5 15 5 15 5 16 7\r
+15 7 15 7 15 9 16 9 15 10 15 11 16 12 15 12\r
+15 14 16 15 15 17 15 17 15 19 16 21 15 22 15 23\r
+16 25 15 27 15 28 4724 4247 100 MP stroke\r
+16 30 15 32 15 34 15 35 16 38 15 39 15 41 16 43\r
+15 46 15 47 16 49 15 50 15 53 16 54 15 56 15 57\r
+15 59 16 60 15 62 15 62 16 64 15 64 15 65 16 65\r
+15 65 15 66 15 65 16 65 15 64 15 63 16 62 15 61\r
+15 59 16 57 15 55 15 53 15 50 16 48 15 44 15 42\r
+16 38 15 35 15 31 16 27 15 23 15 19 16 15 15 11\r
+15 6 15 2 16 -2 15 -6 15 -11 16 -15 15 -19 15 -23\r
+16 -27 15 -31 15 -35 15 -38 16 -42 15 -44 15 -48 16 -50\r
+15 -53 15 -55 16 -57 15 -59 15 -61 15 -62 16 -63 15 -64\r
+15 -65 16 -65 15 -66 15 -65 16 -65 15 -65 15 -64 16 -64\r
+15 -62 15 -62 15 -60 16 -59 15 -57 15 -56 16 -54 15 -53\r
+15 -50 16 -49 15 -47 15 -46 15 -43 16 -41 15 -39 15 -38\r
+16 -35 15 -34 15 -32 3209 4217 100 MP stroke\r
+16 -30 15 -28 15 -27 15 -25 16 -23 15 -22 15 -21 16 -19\r
+15 -17 15 -17 16 -15 15 -14 15 -12 16 -12 15 -11 15 -10\r
+15 -9 16 -9 15 -7 15 -7 16 -7 15 -5 15 -5 16 -5\r
+15 -4 15 -4 15 -3 16 -4 15 -2 15 -3 16 -2 15 -2\r
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+15 0 15 0 16 0 15 0 15 0 15 0 16 0 15 0\r
+15 0 16 0 15 0 15 0 16 0 15 0 15 0 15 0\r
+16 0 15 0 15 0 16 0 15 0 15 0 16 0 15 0\r
+15 0 16 0 15 0 15 0 15 0 16 0 15 0 15 0\r
+16 0 15 0 15 0 1694 4612 100 MP stroke\r
+16 0 15 0 15 0 1648 4612 4 MP stroke\r
+0 -2703 4112 4612 2 MP stroke\r
+0 -2703 3499 4612 2 MP stroke\r
+0 -3823 3959 4612 2 MP stroke\r
+SO\r
+\r
+gr\r
+3463 3236 mt 3535 3236 L\r
+3499 3200 mt 3499 3272 L\r
+gs 898 388 5357 4225 MR c np\r
+\r
+gr\r
+3923 3236 mt 3995 3236 L\r
+3959 3200 mt 3959 3272 L\r
+gs 898 388 5357 4225 MR c np\r
+\r
+gr\r
+3923  789 mt 3995  789 L\r
+3959  753 mt 3959  825 L\r
+3923  753 mt 3995  825 L\r
+3995  753 mt 3923  825 L\r
+gs 898 388 5357 4225 MR c np\r
+\r
+gr\r
+4076 2129 mt 4148 2201 L\r
+4148 2129 mt 4076 2201 L\r
+gs 898 388 5357 4225 MR c np\r
+\r
+gr\r
+3923 2129 mt 3995 2201 L\r
+3995 2129 mt 3923 2201 L\r
+gs 898 388 5357 4225 MR c np\r
+\r
+gr\r
+3423 5003 mt\r
+(Xi) s\r
+3867 5003 mt\r
+(Xs) s\r
+4050 5003 mt\r
+(Xj) s\r
+\r
+end\r
+\r
+eplot\r
+%%EndObject graph 1\r
+\r
+epage\r
+end\r
+\r
+showpage\r
+\r
+%%Trailer\r
+%%EOF\r

diff --git a/image1.eps b/image1.eps
new file mode 100644 (file)
index 0000000..214be56
--- /dev/null
+++ b/image1.eps
@@ -0,0 +1,8006 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%Creator: (ImageMagick)
+%%Title: (C:/Users/PCNANO~1/AppData/Local/Temp/magick-FGKOlcIh)
+%%CreationDate: (2014-11-23T19:17:24+01:00)
+%%BoundingBox: -0 -0 555 181
+%%HiResBoundingBox: 0 0 555 181
+%%DocumentData: Clean7Bit
+%%LanguageLevel: 1
+%%Pages: 1
+%%EndComments
+
+%%BeginDefaults
+%%EndDefaults
+
+%%BeginProlog
+%
+% Display a color image.  The image is displayed in color on
+% Postscript viewers or printers that support color, otherwise
+% it is displayed as grayscale.
+%
+/DirectClassPacket
+{
+  %
+  % Get a DirectClass packet.
+  %
+  % Parameters:
+  %   red.
+  %   green.
+  %   blue.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile color_packet readhexstring pop pop
+  compression 0 eq
+  {
+    /number_pixels 3 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add 3 mul def
+  } ifelse
+  0 3 number_pixels 1 sub
+  {
+    pixels exch color_packet putinterval
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/DirectClassImage
+{
+  %
+  % Display a DirectClass image.
+  %
+  systemdict /colorimage known
+  {
+    columns rows 8
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { DirectClassPacket } false 3 colorimage
+  }
+  {
+    %
+    % No colorimage operator;  convert to grayscale.
+    %
+    columns rows 8
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { GrayDirectClassPacket } image
+  } ifelse
+} bind def
+
+/GrayDirectClassPacket
+{
+  %
+  % Get a DirectClass packet;  convert to grayscale.
+  %
+  % Parameters:
+  %   red
+  %   green
+  %   blue
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile color_packet readhexstring pop pop
+  color_packet 0 get 0.299 mul
+  color_packet 1 get 0.587 mul add
+  color_packet 2 get 0.114 mul add
+  cvi
+  /gray_packet exch def
+  compression 0 eq
+  {
+    /number_pixels 1 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add def
+  } ifelse
+  0 1 number_pixels 1 sub
+  {
+    pixels exch gray_packet put
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/GrayPseudoClassPacket
+{
+  %
+  % Get a PseudoClass packet;  convert to grayscale.
+  %
+  % Parameters:
+  %   index: index into the colormap.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile byte readhexstring pop 0 get
+  /offset exch 3 mul def
+  /color_packet colormap offset 3 getinterval def
+  color_packet 0 get 0.299 mul
+  color_packet 1 get 0.587 mul add
+  color_packet 2 get 0.114 mul add
+  cvi
+  /gray_packet exch def
+  compression 0 eq
+  {
+    /number_pixels 1 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add def
+  } ifelse
+  0 1 number_pixels 1 sub
+  {
+    pixels exch gray_packet put
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/PseudoClassPacket
+{
+  %
+  % Get a PseudoClass packet.
+  %
+  % Parameters:
+  %   index: index into the colormap.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile byte readhexstring pop 0 get
+  /offset exch 3 mul def
+  /color_packet colormap offset 3 getinterval def
+  compression 0 eq
+  {
+    /number_pixels 3 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add 3 mul def
+  } ifelse
+  0 3 number_pixels 1 sub
+  {
+    pixels exch color_packet putinterval
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/PseudoClassImage
+{
+  %
+  % Display a PseudoClass image.
+  %
+  % Parameters:
+  %   class: 0-PseudoClass or 1-Grayscale.
+  %
+  currentfile buffer readline pop
+  token pop /class exch def pop
+  class 0 gt
+  {
+    currentfile buffer readline pop
+    token pop /depth exch def pop
+    /grays columns 8 add depth sub depth mul 8 idiv string def
+    columns rows depth
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { currentfile grays readhexstring pop } image
+  }
+  {
+    %
+    % Parameters:
+    %   colors: number of colors in the colormap.
+    %   colormap: red, green, blue color packets.
+    %
+    currentfile buffer readline pop
+    token pop /colors exch def pop
+    /colors colors 3 mul def
+    /colormap colors string def
+    currentfile colormap readhexstring pop pop
+    systemdict /colorimage known
+    {
+      columns rows 8
+      [
+        columns 0 0
+        rows neg 0 rows
+      ]
+      { PseudoClassPacket } false 3 colorimage
+    }
+    {
+      %
+      % No colorimage operator;  convert to grayscale.
+      %
+      columns rows 8
+      [
+        columns 0 0
+        rows neg 0 rows
+      ]
+      { GrayPseudoClassPacket } image
+    } ifelse
+  } ifelse
+} bind def
+
+/DisplayImage
+{
+  %
+  % Display a DirectClass or PseudoClass image.
+  %
+  % Parameters:
+  %   x & y translation.
+  %   x & y scale.
+  %   label pointsize.
+  %   image label.
+  %   image columns & rows.
+  %   class: 0-DirectClass or 1-PseudoClass.
+  %   compression: 0-none or 1-RunlengthEncoded.
+  %   hex color packets.
+  %
+  gsave
+  /buffer 512 string def
+  /byte 1 string def
+  /color_packet 3 string def
+  /pixels 768 string def
+
+  currentfile buffer readline pop
+  token pop /x exch def
+  token pop /y exch def pop
+  x y translate
+  currentfile buffer readline pop
+  token pop /x exch def
+  token pop /y exch def pop
+  currentfile buffer readline pop
+  token pop /pointsize exch def pop
+  /Times-Roman findfont pointsize scalefont setfont
+  x y scale
+  currentfile buffer readline pop
+  token pop /columns exch def
+  token pop /rows exch def pop
+  currentfile buffer readline pop
+  token pop /class exch def pop
+  currentfile buffer readline pop
+  token pop /compression exch def pop
+  class 0 gt { PseudoClassImage } { DirectClassImage } ifelse
+} bind def
+%%EndProlog
+%%Page:  1 1
+%%PageBoundingBox: 0 0 555 181
+userdict begin
+DisplayImage
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diff --git a/image2.eps b/image2.eps
new file mode 100644 (file)
index 0000000..07ebcfd
--- /dev/null
+++ b/image2.eps
@@ -0,0 +1,6908 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%Creator: (ImageMagick)
+%%Title: (C:/Users/PCNANO~1/AppData/Local/Temp/magick-XvqIrepF)
+%%CreationDate: (2014-11-23T19:17:24+01:00)
+%%BoundingBox: -0 -0 556 155
+%%HiResBoundingBox: 0 0 556 155
+%%DocumentData: Clean7Bit
+%%LanguageLevel: 1
+%%Pages: 1
+%%EndComments
+
+%%BeginDefaults
+%%EndDefaults
+
+%%BeginProlog
+%
+% Display a color image.  The image is displayed in color on
+% Postscript viewers or printers that support color, otherwise
+% it is displayed as grayscale.
+%
+/DirectClassPacket
+{
+  %
+  % Get a DirectClass packet.
+  %
+  % Parameters:
+  %   red.
+  %   green.
+  %   blue.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile color_packet readhexstring pop pop
+  compression 0 eq
+  {
+    /number_pixels 3 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add 3 mul def
+  } ifelse
+  0 3 number_pixels 1 sub
+  {
+    pixels exch color_packet putinterval
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/DirectClassImage
+{
+  %
+  % Display a DirectClass image.
+  %
+  systemdict /colorimage known
+  {
+    columns rows 8
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { DirectClassPacket } false 3 colorimage
+  }
+  {
+    %
+    % No colorimage operator;  convert to grayscale.
+    %
+    columns rows 8
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { GrayDirectClassPacket } image
+  } ifelse
+} bind def
+
+/GrayDirectClassPacket
+{
+  %
+  % Get a DirectClass packet;  convert to grayscale.
+  %
+  % Parameters:
+  %   red
+  %   green
+  %   blue
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile color_packet readhexstring pop pop
+  color_packet 0 get 0.299 mul
+  color_packet 1 get 0.587 mul add
+  color_packet 2 get 0.114 mul add
+  cvi
+  /gray_packet exch def
+  compression 0 eq
+  {
+    /number_pixels 1 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add def
+  } ifelse
+  0 1 number_pixels 1 sub
+  {
+    pixels exch gray_packet put
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/GrayPseudoClassPacket
+{
+  %
+  % Get a PseudoClass packet;  convert to grayscale.
+  %
+  % Parameters:
+  %   index: index into the colormap.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile byte readhexstring pop 0 get
+  /offset exch 3 mul def
+  /color_packet colormap offset 3 getinterval def
+  color_packet 0 get 0.299 mul
+  color_packet 1 get 0.587 mul add
+  color_packet 2 get 0.114 mul add
+  cvi
+  /gray_packet exch def
+  compression 0 eq
+  {
+    /number_pixels 1 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add def
+  } ifelse
+  0 1 number_pixels 1 sub
+  {
+    pixels exch gray_packet put
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/PseudoClassPacket
+{
+  %
+  % Get a PseudoClass packet.
+  %
+  % Parameters:
+  %   index: index into the colormap.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile byte readhexstring pop 0 get
+  /offset exch 3 mul def
+  /color_packet colormap offset 3 getinterval def
+  compression 0 eq
+  {
+    /number_pixels 3 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add 3 mul def
+  } ifelse
+  0 3 number_pixels 1 sub
+  {
+    pixels exch color_packet putinterval
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/PseudoClassImage
+{
+  %
+  % Display a PseudoClass image.
+  %
+  % Parameters:
+  %   class: 0-PseudoClass or 1-Grayscale.
+  %
+  currentfile buffer readline pop
+  token pop /class exch def pop
+  class 0 gt
+  {
+    currentfile buffer readline pop
+    token pop /depth exch def pop
+    /grays columns 8 add depth sub depth mul 8 idiv string def
+    columns rows depth
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { currentfile grays readhexstring pop } image
+  }
+  {
+    %
+    % Parameters:
+    %   colors: number of colors in the colormap.
+    %   colormap: red, green, blue color packets.
+    %
+    currentfile buffer readline pop
+    token pop /colors exch def pop
+    /colors colors 3 mul def
+    /colormap colors string def
+    currentfile colormap readhexstring pop pop
+    systemdict /colorimage known
+    {
+      columns rows 8
+      [
+        columns 0 0
+        rows neg 0 rows
+      ]
+      { PseudoClassPacket } false 3 colorimage
+    }
+    {
+      %
+      % No colorimage operator;  convert to grayscale.
+      %
+      columns rows 8
+      [
+        columns 0 0
+        rows neg 0 rows
+      ]
+      { GrayPseudoClassPacket } image
+    } ifelse
+  } ifelse
+} bind def
+
+/DisplayImage
+{
+  %
+  % Display a DirectClass or PseudoClass image.
+  %
+  % Parameters:
+  %   x & y translation.
+  %   x & y scale.
+  %   label pointsize.
+  %   image label.
+  %   image columns & rows.
+  %   class: 0-DirectClass or 1-PseudoClass.
+  %   compression: 0-none or 1-RunlengthEncoded.
+  %   hex color packets.
+  %
+  gsave
+  /buffer 512 string def
+  /byte 1 string def
+  /color_packet 3 string def
+  /pixels 768 string def
+
+  currentfile buffer readline pop
+  token pop /x exch def
+  token pop /y exch def pop
+  x y translate
+  currentfile buffer readline pop
+  token pop /x exch def
+  token pop /y exch def pop
+  currentfile buffer readline pop
+  token pop /pointsize exch def pop
+  /Times-Roman findfont pointsize scalefont setfont
+  x y scale
+  currentfile buffer readline pop
+  token pop /columns exch def
+  token pop /rows exch def pop
+  currentfile buffer readline pop
+  token pop /class exch def pop
+  currentfile buffer readline pop
+  token pop /compression exch def pop
+  class 0 gt { PseudoClassImage } { DirectClassImage } ifelse
+} bind def
+%%EndProlog
+%%Page:  1 1
+%%PageBoundingBox: 0 0 556 155
+userdict begin
+DisplayImage
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+%%EOF

diff --git a/image3.eps b/image3.eps
new file mode 100644 (file)
index 0000000..62a2871
--- /dev/null
+++ b/image3.eps
@@ -0,0 +1,8020 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%Creator: (ImageMagick)
+%%Title: (C:/Users/PCNANO~1/AppData/Local/Temp/magick-FNXwVj7b)
+%%CreationDate: (2014-11-23T19:17:24+01:00)
+%%BoundingBox: -0 -0 556 181
+%%HiResBoundingBox: 0 0 556 181
+%%DocumentData: Clean7Bit
+%%LanguageLevel: 1
+%%Pages: 1
+%%EndComments
+
+%%BeginDefaults
+%%EndDefaults
+
+%%BeginProlog
+%
+% Display a color image.  The image is displayed in color on
+% Postscript viewers or printers that support color, otherwise
+% it is displayed as grayscale.
+%
+/DirectClassPacket
+{
+  %
+  % Get a DirectClass packet.
+  %
+  % Parameters:
+  %   red.
+  %   green.
+  %   blue.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile color_packet readhexstring pop pop
+  compression 0 eq
+  {
+    /number_pixels 3 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add 3 mul def
+  } ifelse
+  0 3 number_pixels 1 sub
+  {
+    pixels exch color_packet putinterval
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/DirectClassImage
+{
+  %
+  % Display a DirectClass image.
+  %
+  systemdict /colorimage known
+  {
+    columns rows 8
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { DirectClassPacket } false 3 colorimage
+  }
+  {
+    %
+    % No colorimage operator;  convert to grayscale.
+    %
+    columns rows 8
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { GrayDirectClassPacket } image
+  } ifelse
+} bind def
+
+/GrayDirectClassPacket
+{
+  %
+  % Get a DirectClass packet;  convert to grayscale.
+  %
+  % Parameters:
+  %   red
+  %   green
+  %   blue
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile color_packet readhexstring pop pop
+  color_packet 0 get 0.299 mul
+  color_packet 1 get 0.587 mul add
+  color_packet 2 get 0.114 mul add
+  cvi
+  /gray_packet exch def
+  compression 0 eq
+  {
+    /number_pixels 1 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add def
+  } ifelse
+  0 1 number_pixels 1 sub
+  {
+    pixels exch gray_packet put
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/GrayPseudoClassPacket
+{
+  %
+  % Get a PseudoClass packet;  convert to grayscale.
+  %
+  % Parameters:
+  %   index: index into the colormap.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile byte readhexstring pop 0 get
+  /offset exch 3 mul def
+  /color_packet colormap offset 3 getinterval def
+  color_packet 0 get 0.299 mul
+  color_packet 1 get 0.587 mul add
+  color_packet 2 get 0.114 mul add
+  cvi
+  /gray_packet exch def
+  compression 0 eq
+  {
+    /number_pixels 1 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add def
+  } ifelse
+  0 1 number_pixels 1 sub
+  {
+    pixels exch gray_packet put
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/PseudoClassPacket
+{
+  %
+  % Get a PseudoClass packet.
+  %
+  % Parameters:
+  %   index: index into the colormap.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile byte readhexstring pop 0 get
+  /offset exch 3 mul def
+  /color_packet colormap offset 3 getinterval def
+  compression 0 eq
+  {
+    /number_pixels 3 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add 3 mul def
+  } ifelse
+  0 3 number_pixels 1 sub
+  {
+    pixels exch color_packet putinterval
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/PseudoClassImage
+{
+  %
+  % Display a PseudoClass image.
+  %
+  % Parameters:
+  %   class: 0-PseudoClass or 1-Grayscale.
+  %
+  currentfile buffer readline pop
+  token pop /class exch def pop
+  class 0 gt
+  {
+    currentfile buffer readline pop
+    token pop /depth exch def pop
+    /grays columns 8 add depth sub depth mul 8 idiv string def
+    columns rows depth
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { currentfile grays readhexstring pop } image
+  }
+  {
+    %
+    % Parameters:
+    %   colors: number of colors in the colormap.
+    %   colormap: red, green, blue color packets.
+    %
+    currentfile buffer readline pop
+    token pop /colors exch def pop
+    /colors colors 3 mul def
+    /colormap colors string def
+    currentfile colormap readhexstring pop pop
+    systemdict /colorimage known
+    {
+      columns rows 8
+      [
+        columns 0 0
+        rows neg 0 rows
+      ]
+      { PseudoClassPacket } false 3 colorimage
+    }
+    {
+      %
+      % No colorimage operator;  convert to grayscale.
+      %
+      columns rows 8
+      [
+        columns 0 0
+        rows neg 0 rows
+      ]
+      { GrayPseudoClassPacket } image
+    } ifelse
+  } ifelse
+} bind def
+
+/DisplayImage
+{
+  %
+  % Display a DirectClass or PseudoClass image.
+  %
+  % Parameters:
+  %   x & y translation.
+  %   x & y scale.
+  %   label pointsize.
+  %   image label.
+  %   image columns & rows.
+  %   class: 0-DirectClass or 1-PseudoClass.
+  %   compression: 0-none or 1-RunlengthEncoded.
+  %   hex color packets.
+  %
+  gsave
+  /buffer 512 string def
+  /byte 1 string def
+  /color_packet 3 string def
+  /pixels 768 string def
+
+  currentfile buffer readline pop
+  token pop /x exch def
+  token pop /y exch def pop
+  x y translate
+  currentfile buffer readline pop
+  token pop /x exch def
+  token pop /y exch def pop
+  currentfile buffer readline pop
+  token pop /pointsize exch def pop
+  /Times-Roman findfont pointsize scalefont setfont
+  x y scale
+  currentfile buffer readline pop
+  token pop /columns exch def
+  token pop /rows exch def pop
+  currentfile buffer readline pop
+  token pop /class exch def pop
+  currentfile buffer readline pop
+  token pop /compression exch def pop
+  class 0 gt { PseudoClassImage } { DirectClassImage } ifelse
+} bind def
+%%EndProlog
+%%Page:  1 1
+%%PageBoundingBox: 0 0 556 181
+userdict begin
+DisplayImage
+0 0
+556 181
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diff --git a/image4.eps b/image4.eps
new file mode 100644 (file)
index 0000000..c827df0
--- /dev/null
+++ b/image4.eps
@@ -0,0 +1,4723 @@
+%!PS-Adobe-3.0 EPSF-3.0
+%%Creator: (ImageMagick)
+%%Title: (C:/Users/PCNANO~1/AppData/Local/Temp/magick-93ASydGM)
+%%CreationDate: (2014-11-23T19:12:33+01:00)
+%%BoundingBox: -0 -0 455 127
+%%HiResBoundingBox: 0 0 455 127
+%%DocumentData: Clean7Bit
+%%LanguageLevel: 1
+%%Pages: 1
+%%EndComments
+
+%%BeginDefaults
+%%EndDefaults
+
+%%BeginProlog
+%
+% Display a color image.  The image is displayed in color on
+% Postscript viewers or printers that support color, otherwise
+% it is displayed as grayscale.
+%
+/DirectClassPacket
+{
+  %
+  % Get a DirectClass packet.
+  %
+  % Parameters:
+  %   red.
+  %   green.
+  %   blue.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile color_packet readhexstring pop pop
+  compression 0 eq
+  {
+    /number_pixels 3 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add 3 mul def
+  } ifelse
+  0 3 number_pixels 1 sub
+  {
+    pixels exch color_packet putinterval
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/DirectClassImage
+{
+  %
+  % Display a DirectClass image.
+  %
+  systemdict /colorimage known
+  {
+    columns rows 8
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { DirectClassPacket } false 3 colorimage
+  }
+  {
+    %
+    % No colorimage operator;  convert to grayscale.
+    %
+    columns rows 8
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { GrayDirectClassPacket } image
+  } ifelse
+} bind def
+
+/GrayDirectClassPacket
+{
+  %
+  % Get a DirectClass packet;  convert to grayscale.
+  %
+  % Parameters:
+  %   red
+  %   green
+  %   blue
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile color_packet readhexstring pop pop
+  color_packet 0 get 0.299 mul
+  color_packet 1 get 0.587 mul add
+  color_packet 2 get 0.114 mul add
+  cvi
+  /gray_packet exch def
+  compression 0 eq
+  {
+    /number_pixels 1 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add def
+  } ifelse
+  0 1 number_pixels 1 sub
+  {
+    pixels exch gray_packet put
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/GrayPseudoClassPacket
+{
+  %
+  % Get a PseudoClass packet;  convert to grayscale.
+  %
+  % Parameters:
+  %   index: index into the colormap.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile byte readhexstring pop 0 get
+  /offset exch 3 mul def
+  /color_packet colormap offset 3 getinterval def
+  color_packet 0 get 0.299 mul
+  color_packet 1 get 0.587 mul add
+  color_packet 2 get 0.114 mul add
+  cvi
+  /gray_packet exch def
+  compression 0 eq
+  {
+    /number_pixels 1 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add def
+  } ifelse
+  0 1 number_pixels 1 sub
+  {
+    pixels exch gray_packet put
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/PseudoClassPacket
+{
+  %
+  % Get a PseudoClass packet.
+  %
+  % Parameters:
+  %   index: index into the colormap.
+  %   length: number of pixels minus one of this color (optional).
+  %
+  currentfile byte readhexstring pop 0 get
+  /offset exch 3 mul def
+  /color_packet colormap offset 3 getinterval def
+  compression 0 eq
+  {
+    /number_pixels 3 def
+  }
+  {
+    currentfile byte readhexstring pop 0 get
+    /number_pixels exch 1 add 3 mul def
+  } ifelse
+  0 3 number_pixels 1 sub
+  {
+    pixels exch color_packet putinterval
+  } for
+  pixels 0 number_pixels getinterval
+} bind def
+
+/PseudoClassImage
+{
+  %
+  % Display a PseudoClass image.
+  %
+  % Parameters:
+  %   class: 0-PseudoClass or 1-Grayscale.
+  %
+  currentfile buffer readline pop
+  token pop /class exch def pop
+  class 0 gt
+  {
+    currentfile buffer readline pop
+    token pop /depth exch def pop
+    /grays columns 8 add depth sub depth mul 8 idiv string def
+    columns rows depth
+    [
+      columns 0 0
+      rows neg 0 rows
+    ]
+    { currentfile grays readhexstring pop } image
+  }
+  {
+    %
+    % Parameters:
+    %   colors: number of colors in the colormap.
+    %   colormap: red, green, blue color packets.
+    %
+    currentfile buffer readline pop
+    token pop /colors exch def pop
+    /colors colors 3 mul def
+    /colormap colors string def
+    currentfile colormap readhexstring pop pop
+    systemdict /colorimage known
+    {
+      columns rows 8
+      [
+        columns 0 0
+        rows neg 0 rows
+      ]
+      { PseudoClassPacket } false 3 colorimage
+    }
+    {
+      %
+      % No colorimage operator;  convert to grayscale.
+      %
+      columns rows 8
+      [
+        columns 0 0
+        rows neg 0 rows
+      ]
+      { GrayPseudoClassPacket } image
+    } ifelse
+  } ifelse
+} bind def
+
+/DisplayImage
+{
+  %
+  % Display a DirectClass or PseudoClass image.
+  %
+  % Parameters:
+  %   x & y translation.
+  %   x & y scale.
+  %   label pointsize.
+  %   image label.
+  %   image columns & rows.
+  %   class: 0-DirectClass or 1-PseudoClass.
+  %   compression: 0-none or 1-RunlengthEncoded.
+  %   hex color packets.
+  %
+  gsave
+  /buffer 512 string def
+  /byte 1 string def
+  /color_packet 3 string def
+  /pixels 768 string def
+
+  currentfile buffer readline pop
+  token pop /x exch def
+  token pop /y exch def pop
+  x y translate
+  currentfile buffer readline pop
+  token pop /x exch def
+  token pop /y exch def pop
+  currentfile buffer readline pop
+  token pop /pointsize exch def pop
+  /Times-Roman findfont pointsize scalefont setfont
+  x y scale
+  currentfile buffer readline pop
+  token pop /columns exch def
+  token pop /rows exch def pop
+  currentfile buffer readline pop
+  token pop /class exch def pop
+  currentfile buffer readline pop
+  token pop /compression exch def pop
+  class 0 gt { PseudoClassImage } { DirectClassImage } ifelse
+} bind def
+%%EndProlog
+%%Page:  1 1
+%%PageBoundingBox: 0 0 455 127
+userdict begin
+DisplayImage
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diff --git a/img1-eps-converted-to.pdf b/img1-eps-converted-to.pdf
new file mode 100644 (file)
index 0000000..4483395
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diff --git a/img1.eps b/img1.eps
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index 0000000..b3707a8
--- /dev/null
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+%%EndFeature\r
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+%%EndFeature\r
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+%%EndFeature\r
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+%%EndFeature\r
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+%%BeginFeature: *Binding LeftBinding\r
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+%%EndFeature\r
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+ /KMOptions /ProcSet findresource /setKMoptions get exec\r
+%%EndFeature\r
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+ /TT15Ct00 /Font G2UBegin\r
+/g3 <0020> def\r
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+Pscript_WinNT_Incr begin\r
+%%BeginResource: file Pscript_Text 5.0 0\r
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+/CharStrings known{CharStrings/Eth known not{! EncodeDict/ANSIEncodingOld get}\r
+if}if}if d E}b/mF{@ 7 1 $ findfont ~{@/Encoding get @ StandardEncoding eq{! T}{\r
+{ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get\r
+StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{1 ^ ~ rF}{0 copyfont}? 6 -2 $\r
+! ! ~ !/pd_charset @ where{~ get 128 eq{@ FDV 2 copy get @ length array copy\r
+put pd_CoverFCRange}if}{!}? 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0 put fM\r
+makefont Pscript_Windows_Font 3 1 $ put}b/sLT{: Lw -M currentpoint snap M 0 - 0\r
+Lc K ;}b/xUP null d/yUP null d/uW null d/xSP null d/ySP null d/sW null d/sSU{N\r
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+{xSP ySP sW sLT}b/sR{: + R 0 0 M}b/sRxy{: matrix astore concat 0 0 M}b/eR/; , d\r
+/AddOrigFP{{&/FontInfo known{&/FontInfo get length 6 add}{6}? dict `\r
+/WinPitchAndFamily ~ d/WinCharSet ~ d/OrigFontType ~ d/OrigFontStyle ~ d\r
+/OrigFontName ~ d & E/FontInfo ~ d}{! ! ! ! !}?}b/mFS{makefont\r
+Pscript_Windows_Font 3 1 $ put}b/mF42D{0 copyfont `/FontName ~ d 2 copy ~ sub 1\r
+add dict `/.notdef 0 d 2 copy 1 ~{@ 3 ^ sub Encoding ~ get ~ d}for & E\r
+/CharStrings ~ d ! ! & @ E/FontName get ~ definefont}b/mF42{15 dict ` @ 4 1 $\r
+FontName ~ d/FontType 0 d/FMapType 2 d/FontMatrix[1 0 0 1 0 0]d 1 ^ 254 add 255\r
+idiv @ array/Encoding ~ d 0 1 3 -1 $ 1 sub{@ Encoding 3 1 $ put}for/FDepVector\r
+Encoding length array d/CharStrings 2 dict `/.notdef 0 d & E d 0 1 Encoding\r
+length 1 sub{@ @ 10 lt{! FontName length 1 add string}{100 lt{FontName length 2\r
+add string}{FontName length 3 add string}?}? @ 0 FontName @ length string cvs\r
+putinterval @ 3 -1 $ @ 4 1 $ 3 string cvs FontName length ~ putinterval cvn 1 ^\r
+256 mul @ 255 add 3 -1 $ 4 ^ findfont mF42D FDepVector 3 1 $ put}for & @ E\r
+/FontName get ~ definefont ! ! ! mF}b/mF_OTF_V{~ ! ~ ! 4 -1 $ ! findfont 2 ^ ~\r
+definefont fM @ @ 4 6 -1 $ neg put 5 0 put 90 matrix R matrix concatmatrix\r
+makefont Pscript_Windows_Font 3 1 $ put}b/mF_TTF_V{3{~ !}repeat 3 -1 $ !\r
+findfont 1 ^ ~ definefont Pscript_Windows_Font 3 1 $ put}b/UmF{L2?\r
+{Pscript_Windows_Font ~ undef}{!}?}b/UmF42{@ findfont/FDepVector get{/FontName\r
+get undefinefont}forall undefinefont}b\r
+%%EndResource\r
+end reinitialize\r
+F /F0 0 /0 F /TT15Ct00 mF \r
+/F0S5CYFFFFFFA4 F0 [92.324 0 0 -92 0 0 ] mFS\r
+F0S5CYFFFFFFA4 Ji \r
+4287 2013 M <01>S \r
+30000 VM?\r
+Pscript_WinNT_Incr begin\r
+%%BeginResource: file Pscript_WinNT_Compat 5.0 0\r
+userdict/Pscript_WinNT_Compat 19 dict dup begin/bd{bind def}bind def/ld{load\r
+def}bd/$x matrix def/ANSIVec[16#0/grave 16#1/acute 16#2/circumflex 16#3/tilde\r
+16#4/macron 16#5/breve 16#6/dotaccent 16#7/dieresis 16#8/ring 16#9/cedilla 16#A\r
+/hungarumlaut 16#B/ogonek 16#C/caron 16#D/dotlessi 16#27/quotesingle 16#60\r
+/grave 16#7C/bar 16#82/quotesinglbase 16#83/florin 16#84/quotedblbase 16#85\r
+/ellipsis 16#86/dagger 16#87/daggerdbl 16#88/circumflex 16#89/perthousand 16#8A\r
+/Scaron 16#8B/guilsinglleft 16#8C/OE 16#91/quoteleft 16#92/quoteright 16#93\r
+/quotedblleft 16#94/quotedblright 16#95/bullet 16#96/endash 16#97/emdash 16#98\r
+/tilde 16#99/trademark 16#9A/scaron 16#9B/guilsinglright 16#9C/oe 16#9F\r
+/Ydieresis 16#A0/space 16#A1/exclamdown 16#A4/currency 16#A5/yen 16#A6\r
+/brokenbar 16#A7/section 16#A8/dieresis 16#A9/copyright 16#AA/ordfeminine 16#AB\r
+/guillemotleft 16#AC/logicalnot 16#AD/hyphen 16#AE/registered 16#AF/macron\r
+16#B0/degree 16#B1/plusminus 16#B2/twosuperior 16#B3/threesuperior 16#B4/acute\r
+16#B5/mu 16#B6/paragraph 16#B7/periodcentered 16#B8/cedilla 16#B9/onesuperior\r
+16#BA/ordmasculine 16#BB/guillemotright 16#BC/onequarter 16#BD/onehalf 16#BE\r
+/threequarters 16#BF/questiondown 16#C0/Agrave 16#C1/Aacute 16#C2/Acircumflex\r
+16#C3/Atilde 16#C4/Adieresis 16#C5/Aring 16#C6/AE 16#C7/Ccedilla 16#C8/Egrave\r
+16#C9/Eacute 16#CA/Ecircumflex 16#CB/Edieresis 16#CC/Igrave 16#CD/Iacute 16#CE\r
+/Icircumflex 16#CF/Idieresis 16#D0/Eth 16#D1/Ntilde 16#D2/Ograve 16#D3/Oacute\r
+16#D4/Ocircumflex 16#D5/Otilde 16#D6/Odieresis 16#D7/multiply 16#D8/Oslash\r
+16#D9/Ugrave 16#DA/Uacute 16#DB/Ucircumflex 16#DC/Udieresis 16#DD/Yacute 16#DE\r
+/Thorn 16#DF/germandbls 16#E0/agrave 16#E1/aacute 16#E2/acircumflex 16#E3\r
+/atilde 16#E4/adieresis 16#E5/aring 16#E6/ae 16#E7/ccedilla 16#E8/egrave 16#E9\r
+/eacute 16#EA/ecircumflex 16#EB/edieresis 16#EC/igrave 16#ED/iacute 16#EE\r
+/icircumflex 16#EF/idieresis 16#F0/eth 16#F1/ntilde 16#F2/ograve 16#F3/oacute\r
+16#F4/ocircumflex 16#F5/otilde 16#F6/odieresis 16#F7/divide 16#F8/oslash 16#F9\r
+/ugrave 16#FA/uacute 16#FB/ucircumflex 16#FC/udieresis 16#FD/yacute 16#FE/thorn\r
+16#FF/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{pop\r
+pop}ifelse}forall/initialize{currentdict exch begin begin}bind def/terminate{\r
+/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate load def\r
+/resume/initialize load def/RS{/pagesave where{pop pagesave restore}{$x matrix\r
+invertmatrix concat}ifelse}def/SS{/pagesave save def}def/CB{pop pop pop pop}def\r
+/B{pop pop pop pop}def/:/gsave load def/;/grestore load def/N/newpath load def\r
+end put\r
+%%EndResource\r
+end reinitialize\r
+Pscript_WinNT_Compat begin /$x mysetup def end\r
+Pscript_WinNT_Incr dup /suspend get exec\r
+Pscript_WinNT_Compat dup /initialize get exec\r
+%%BeginDocument: Pscript_Win_PassThrough\r
+/languagelevel where {pop languagelevel} {1} ifelse\r
+2 ge dup {currentglobal exch true setglobal globaldict} {userdict} ifelse\r
+/GpPBeg1 {\r
+    gsave initclip\r
+    16 dict begin\r
+    /c {curveto} def /l {lineto} def /m {moveto} def\r
+    /rc {rcurveto} def /rl {rlineto} def\r
+    /NP {newpath} def /CP {closepath} def /SC {setrgbcolor} def\r
+    /GSE {end grestore} def\r
+} put\r
+{setglobal} if\r
+GpPBeg1\r
+NP 0 500 m 4758 500 l 4758 2031 l 0 2031 l CP \r
+eoclip\r
+1 1 1 SC\r
+NP 513 500 m 4271 500 l 4271 2014 l 513 2014 l CP \r
+eofill\r
+GSE\r
+GpPBeg1\r
+1 1 1 SC\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eofill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 766 1528 m 4153 1528 l 4153 1534 l 766 1534 l CP \r
+766 1424 m 4153 1424 l 4153 1430 l 766 1430 l CP \r
+766 1319 m 4153 1319 l 4153 1325 l 766 1325 l CP \r
+766 1215 m 4153 1215 l 4153 1221 l 766 1221 l CP \r
+766 1111 m 4153 1111 l 4153 1117 l 766 1117 l CP \r
+766 1007 m 4153 1007 l 4153 1013 l 766 1013 l CP \r
+766 903 m 4153 903 l 4153 909 l 766 909 l CP \r
+766 798 m 4153 798 l 4153 804 l 766 804 l CP \r
+766 694 m 4153 694 l 4153 700 l 766 700 l CP \r
+766 590 m 4153 590 l 4153 596 l 766 596 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 763 1635 m 763 593 l 769 593 l 769 1635 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 740 1632 m 766 1632 l 766 1638 l 740 1638 l CP \r
+740 1528 m 766 1528 l 766 1534 l 740 1534 l CP \r
+740 1424 m 766 1424 l 766 1430 l 740 1430 l CP \r
+740 1319 m 766 1319 l 766 1325 l 740 1325 l CP \r
+740 1215 m 766 1215 l 766 1221 l 740 1221 l CP \r
+740 1111 m 766 1111 l 766 1117 l 740 1117 l CP \r
+740 1007 m 766 1007 l 766 1013 l 740 1013 l CP \r
+740 903 m 766 903 l 766 909 l 740 909 l CP \r
+740 798 m 766 798 l 766 804 l 740 804 l CP \r
+740 694 m 766 694 l 766 700 l 740 700 l CP \r
+740 590 m 766 590 l 766 596 l 740 596 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 766 1632 m 4153 1632 l 4153 1638 l 766 1638 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 769 1635 m 769 1661 l 763 1661 l 763 1635 l CP \r
+852 1635 m 852 1661 l 846 1661 l 846 1635 l CP \r
+934 1635 m 934 1661 l 928 1661 l 928 1635 l CP \r
+1017 1635 m 1017 1661 l 1011 1661 l 1011 1635 l CP \r
+1099 1635 m 1099 1661 l 1093 1661 l 1093 1635 l CP \r
+1182 1635 m 1182 1661 l 1176 1661 l 1176 1635 l CP \r
+1265 1635 m 1265 1661 l 1259 1661 l 1259 1635 l CP \r
+1347 1635 m 1347 1661 l 1341 1661 l 1341 1635 l CP \r
+1430 1635 m 1430 1661 l 1424 1661 l 1424 1635 l CP \r
+1512 1635 m 1512 1661 l 1506 1661 l 1506 1635 l CP \r
+1595 1635 m 1595 1661 l 1589 1661 l 1589 1635 l CP \r
+1678 1635 m 1678 1661 l 1672 1661 l 1672 1635 l CP \r
+1760 1635 m 1760 1661 l 1754 1661 l 1754 1635 l CP \r
+1843 1635 m 1843 1661 l 1837 1661 l 1837 1635 l CP \r
+1926 1635 m 1926 1661 l 1920 1661 l 1920 1635 l CP \r
+2008 1635 m 2008 1661 l 2002 1661 l 2002 1635 l CP \r
+2091 1635 m 2091 1661 l 2085 1661 l 2085 1635 l CP \r
+2173 1635 m 2173 1661 l 2167 1661 l 2167 1635 l CP \r
+2256 1635 m 2256 1661 l 2250 1661 l 2250 1635 l CP \r
+2339 1635 m 2339 1661 l 2333 1661 l 2333 1635 l CP \r
+2421 1635 m 2421 1661 l 2415 1661 l 2415 1635 l CP \r
+2504 1635 m 2504 1661 l 2498 1661 l 2498 1635 l CP \r
+2586 1635 m 2586 1661 l 2580 1661 l 2580 1635 l CP \r
+2669 1635 m 2669 1661 l 2663 1661 l 2663 1635 l CP \r
+2752 1635 m 2752 1661 l 2746 1661 l 2746 1635 l CP \r
+2834 1635 m 2834 1661 l 2828 1661 l 2828 1635 l CP \r
+2917 1635 m 2917 1661 l 2911 1661 l 2911 1635 l CP \r
+2999 1635 m 2999 1661 l 2993 1661 l 2993 1635 l CP \r
+3082 1635 m 3082 1661 l 3076 1661 l 3076 1635 l CP \r
+3165 1635 m 3165 1661 l 3159 1661 l 3159 1635 l CP \r
+3247 1635 m 3247 1661 l 3241 1661 l 3241 1635 l CP \r
+3330 1635 m 3330 1661 l 3324 1661 l 3324 1635 l CP \r
+3413 1635 m 3413 1661 l 3407 1661 l 3407 1635 l CP \r
+3495 1635 m 3495 1661 l 3489 1661 l 3489 1635 l CP \r
+3578 1635 m 3578 1661 l 3572 1661 l 3572 1635 l CP \r
+3660 1635 m 3660 1661 l 3654 1661 l 3654 1635 l CP \r
+3743 1635 m 3743 1661 l 3737 1661 l 3737 1635 l CP \r
+3826 1635 m 3826 1661 l 3820 1661 l 3820 1635 l CP \r
+3908 1635 m 3908 1661 l 3902 1661 l 3902 1635 l CP \r
+3991 1635 m 3991 1661 l 3985 1661 l 3985 1635 l CP \r
+4073 1635 m 4073 1661 l 4067 1661 l 4067 1635 l CP \r
+4156 1635 m 4156 1661 l 4150 1661 l 4150 1635 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 805 1626 m 887 1601 l 892 1600 897 1603 899 1607 c 900 1612 897 1617 893 1619 c 811 1644 l 806 1645 801 1642 799 1638 c 798 1633 801 1628 805 1626 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 881 1607 m 964 1353 l 966 1348 971 1346 976 1347 c 980 1349 983 1354 982 1359 c 899 1613 l 897 1617 892 1620 887 1619 c 882 1617 880 1612 881 1607 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 982 1353 m 1065 1630 l 1066 1635 1063 1640 1059 1642 c 1054 1643 1049 1640 1047 1636 c 964 1359 l 963 1354 966 1349 970 1347 c 975 1346 980 1349 982 1353 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1047 1632 m 1129 633 l 1129 628 1134 625 1139 625 c 1144 625 1147 630 1147 635 c 1065 1634 l 1065 1639 1060 1642 1055 1642 c 1050 1642 1047 1637 1047 1632 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1147 633 m 1230 1267 l 1231 1272 1227 1276 1222 1277 c 1217 1278 1213 1274 1212 1269 c 1129 635 l 1128 630 1132 626 1137 625 c 1142 624 1146 628 1147 633 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1230 1266 m 1312 1625 l 1313 1630 1310 1635 1305 1636 c 1300 1637 1295 1634 1294 1629 c 1212 1270 l 1211 1265 1214 1260 1219 1259 c 1224 1258 1229 1261 1230 1266 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1302 1618 m 1385 1613 l 1390 1613 1395 1616 1395 1621 c 1395 1626 1391 1631 1387 1631 c 1304 1636 l 1299 1636 1294 1632 1294 1628 c 1294 1623 1297 1618 1302 1618 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1386 1613 m 1468 1613 l 1473 1613 1477 1617 1477 1622 c 1477 1627 1473 1631 1468 1631 c 1386 1631 l 1381 1631 1377 1627 1377 1622 c 1377 1617 1381 1613 1386 1613 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1468 1613 m 1551 1613 l 1556 1613 1560 1617 1560 1622 c 1560 1627 1556 1631 1551 1631 c 1468 1631 l 1463 1631 1459 1627 1459 1622 c 1459 1617 1463 1613 1468 1613 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1552 1613 m 1635 1625 l 1640 1626 1644 1630 1643 1635 c 1642 1640 1638 1644 1633 1643 c 1550 1631 l 1545 1630 1541 1626 1542 1621 c 1543 1616 1547 1612 1552 1613 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1625 1631 m 1707 1353 l 1709 1349 1714 1346 1719 1347 c 1723 1349 1726 1354 1725 1359 c 1643 1637 l 1641 1641 1636 1644 1631 1643 c 1627 1641 1624 1636 1625 1631 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1716 1347 m 1799 1347 l 1804 1347 1808 1351 1808 1356 c 1808 1361 1804 1365 1799 1365 c 1716 1365 l 1711 1365 1707 1361 1707 1356 c 1707 1351 1711 1347 1716 1347 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1808 1353 m 1890 1611 l 1891 1616 1888 1621 1884 1623 c 1879 1624 1874 1621 1872 1617 c 1790 1359 l 1789 1354 1792 1349 1796 1347 c 1801 1346 1806 1349 1808 1353 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1873 1610 m 1956 1454 l 1958 1449 1964 1448 1968 1450 c 1973 1452 1974 1458 1972 1462 c 1889 1618 l 1887 1623 1881 1624 1877 1622 c 1872 1620 1871 1614 1873 1610 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 1972 1454 m 2055 1614 l 2057 1618 2056 1624 2051 1626 c 2047 1628 2041 1627 2039 1622 c 1956 1462 l 1954 1458 1955 1452 1960 1450 c 1964 1448 1970 1449 1972 1454 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2048 1609 m 2130 1623 l 2135 1624 2139 1629 2138 1633 c 2137 1638 2132 1642 2127 1641 c 2045 1627 l 2041 1626 2037 1621 2038 1616 c 2039 1612 2044 1608 2048 1609 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2129 1623 m 2212 1625 l 2217 1625 2221 1629 2221 1634 c 2221 1639 2217 1643 2212 1643 c 2129 1641 l 2124 1641 2120 1637 2120 1632 c 2120 1627 2124 1623 2129 1623 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2203 1632 m 2285 1166 l 2286 1162 2291 1158 2296 1159 c 2300 1160 2304 1165 2303 1170 c 2221 1636 l 2220 1640 2215 1644 2210 1643 c 2206 1642 2202 1637 2203 1632 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2303 1166 m 2386 1633 l 2387 1638 2383 1643 2379 1644 c 2374 1645 2369 1641 2368 1637 c 2285 1170 l 2284 1165 2287 1160 2292 1159 c 2297 1158 2302 1161 2303 1166 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2377 1626 m 2460 1626 l 2465 1626 2469 1630 2469 1635 c 2469 1640 2465 1644 2460 1644 c 2377 1644 l 2372 1644 2368 1640 2368 1635 c 2368 1630 2372 1626 2377 1626 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2458 1626 m 2540 1609 l 2545 1608 2550 1611 2551 1616 c 2552 1621 2549 1626 2544 1627 c 2462 1644 l 2457 1645 2452 1642 2451 1637 c 2450 1632 2453 1627 2458 1626 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2540 1609 m 2623 1586 l 2627 1585 2632 1588 2634 1593 c 2635 1597 2632 1602 2627 1604 c 2544 1627 l 2540 1628 2535 1625 2533 1620 c 2532 1616 2535 1611 2540 1609 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2629 1587 m 2711 1626 l 2715 1628 2717 1633 2715 1638 c 2713 1642 2708 1644 2703 1642 c 2621 1603 l 2617 1601 2615 1596 2617 1591 c 2619 1587 2624 1585 2629 1587 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 2700 1628 m 2783 1528 l 2786 1524 2792 1524 2796 1527 c 2800 1530 2800 1536 2797 1540 c 2714 1640 l 2711 1644 2705 1644 2701 1641 c 2697 1638 2697 1632 2700 1628 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2795 1527 m 2877 1589 l 2881 1592 2882 1597 2879 1601 c 2876 1605 2871 1606 2867 1603 c 2785 1541 l 2781 1538 2780 1533 2783 1529 c 2786 1525 2791 1524 2795 1527 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2866 1590 m 2949 1507 l 2952 1503 2958 1503 2961 1507 c 2965 1510 2965 1516 2961 1519 c 2878 1602 l 2875 1606 2869 1606 2866 1602 c 2862 1599 2862 1593 2866 1590 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2948 1508 m 3031 1396 l 3034 1392 3039 1391 3043 1394 c 3047 1397 3048 1402 3045 1406 c 2962 1518 l 2959 1522 2954 1523 2950 1520 c 2946 1517 2945 1512 2948 1508 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3046 1398 m 3128 1615 l 3130 1619 3128 1625 3123 1626 c 3119 1628 3113 1626 3112 1621 c 3030 1404 l 3028 1400 3030 1394 3035 1393 c 3039 1391 3045 1393 3046 1398 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3121 1609 m 3204 1615 l 3209 1615 3212 1620 3212 1625 c 3212 1630 3207 1633 3202 1633 c 3119 1627 l 3114 1627 3111 1622 3111 1617 c 3111 1612 3116 1609 3121 1609 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3194 1621 m 3276 1357 l 3278 1353 3283 1350 3288 1351 c 3292 1353 3295 1358 3294 1363 c 3212 1627 l 3210 1631 3205 1634 3200 1633 c 3196 1631 3193 1626 3194 1621 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3294 1357 m 3377 1630 l 3378 1635 3375 1640 3371 1642 c 3366 1643 3361 1640 3359 1636 c 3276 1363 l 3275 1358 3278 1353 3282 1351 c 3287 1350 3292 1353 3294 1357 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3368 1624 m 3451 1626 l 3456 1626 3460 1630 3460 1635 c 3460 1640 3456 1644 3451 1644 c 3368 1642 l 3363 1642 3359 1638 3359 1633 c 3359 1628 3363 1624 3368 1624 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3451 1626 m 3533 1626 l 3538 1626 3542 1630 3542 1635 c 3542 1640 3538 1644 3533 1644 c 3451 1644 l 3446 1644 3442 1640 3442 1635 c 3442 1630 3446 1626 3451 1626 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3533 1626 m 3616 1626 l 3621 1626 3625 1630 3625 1635 c 3625 1640 3621 1644 3616 1644 c 3533 1644 l 3528 1644 3524 1640 3524 1635 c 3524 1630 3528 1626 3533 1626 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3616 1626 m 3698 1625 l 3703 1625 3707 1629 3707 1634 c 3707 1639 3703 1643 3698 1643 c 3616 1644 l 3611 1644 3607 1640 3607 1635 c 3607 1630 3611 1626 3616 1626 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3698 1625 m 3781 1626 l 3786 1626 3790 1630 3790 1635 c 3790 1640 3786 1644 3781 1644 c 3698 1643 l 3693 1643 3689 1639 3689 1634 c 3689 1629 3693 1625 3698 1625 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3781 1626 m 3864 1625 l 3869 1625 3873 1629 3873 1634 c 3873 1639 3869 1643 3864 1643 c 3781 1644 l 3776 1644 3772 1640 3772 1635 c 3772 1630 3776 1626 3781 1626 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3864 1625 m 3946 1623 l 3951 1623 3955 1627 3955 1632 c 3955 1637 3951 1641 3946 1641 c 3864 1643 l 3859 1643 3855 1639 3855 1634 c 3855 1629 3859 1625 3864 1625 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 3946 1623 m 4029 1625 l 4034 1625 4038 1629 4038 1634 c 4038 1639 4034 1643 4029 1643 c 3946 1641 l 3941 1641 3937 1637 3937 1632 c 3937 1627 3941 1623 3946 1623 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 766 593 m 4153 593 l 4153 1635 l 766 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 4029 1625 m 4111 1626 l 4116 1626 4120 1630 4120 1635 c 4120 1640 4116 1644 4111 1644 c 4029 1643 l 4024 1643 4020 1639 4020 1634 c 4020 1629 4024 1625 4029 1625 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 808 1664 m 779 1635 l 808 1606 l 837 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 810 1666 m 808 1667 l 806 1666 l 777 1637 l 776 1635 l 777 1633 l 806 1604 l 808 1603 l 810 1604 l 839 1633 l 840 1635 l 839 1637 l CP \r
+835 1633 m 835 1637 l 806 1608 l 810 1608 l 781 1637 l 781 1633 l 810 1662 l 806 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 890 1639 m 860 1610 l 890 1581 l 919 1610 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 892 1641 m 890 1642 l 888 1641 l 858 1612 l 857 1610 l 858 1608 l 888 1579 l 890 1578 l 892 1579 l 922 1608 l 922 1610 l 922 1612 l CP \r
+917 1608 m 917 1612 l 888 1583 l 892 1583 l 863 1612 l 863 1608 l 892 1637 l 888 1637 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 973 1385 m 944 1356 l 973 1327 l 1002 1356 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 975 1387 m 973 1388 l 971 1387 l 942 1358 l 941 1356 l 942 1354 l 971 1325 l 973 1324 l 975 1325 l 1004 1354 l 1005 1356 l 1004 1358 l CP \r
+1000 1354 m 1000 1358 l 971 1329 l 975 1329 l 946 1358 l 946 1354 l 975 1383 l 971 1383 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1056 1662 m 1027 1633 l 1056 1604 l 1085 1633 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1058 1664 m 1056 1665 l 1054 1664 l 1025 1635 l 1024 1633 l 1025 1631 l 1054 1602 l 1056 1601 l 1058 1602 l 1087 1631 l 1088 1633 l 1087 1635 l CP \r
+1083 1631 m 1083 1635 l 1054 1606 l 1058 1606 l 1029 1635 l 1029 1631 l 1058 1660 l 1054 1660 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1138 663 m 1109 634 l 1138 604 l 1167 634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1140 666 m 1138 666 l 1136 666 l 1107 636 l 1106 634 l 1107 632 l 1136 602 l 1138 601 l 1140 602 l 1169 632 l 1170 634 l 1169 636 l CP \r
+1165 632 m 1165 636 l 1136 607 l 1140 607 l 1111 636 l 1111 632 l 1140 661 l 1136 661 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1221 1297 m 1192 1268 l 1221 1239 l 1250 1268 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1223 1299 m 1221 1300 l 1219 1299 l 1190 1270 l 1189 1268 l 1190 1266 l 1219 1237 l 1221 1236 l 1223 1237 l 1252 1266 l 1253 1268 l 1252 1270 l CP \r
+1248 1266 m 1248 1270 l 1219 1241 l 1223 1241 l 1194 1270 l 1194 1266 l 1223 1295 l 1219 1295 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1303 1656 m 1273 1627 l 1303 1597 l 1332 1627 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1305 1659 m 1303 1660 l 1301 1659 l 1271 1629 l 1270 1627 l 1271 1625 l 1301 1595 l 1303 1594 l 1305 1595 l 1335 1625 l 1336 1627 l 1335 1629 l CP \r
+1330 1625 m 1330 1629 l 1301 1600 l 1305 1600 l 1276 1629 l 1276 1625 l 1305 1654 l 1301 1654 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1386 1651 m 1357 1622 l 1386 1593 l 1415 1622 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1388 1653 m 1386 1654 l 1384 1653 l 1355 1624 l 1354 1622 l 1355 1620 l 1384 1591 l 1386 1590 l 1388 1591 l 1417 1620 l 1418 1622 l 1417 1624 l CP \r
+1413 1620 m 1413 1624 l 1384 1595 l 1388 1595 l 1359 1624 l 1359 1620 l 1388 1649 l 1384 1649 l CP \r
+fill\r
+GSE\r
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+0.3098 0.5058 0.7411 SC\r
+NP 1468 1651 m 1438 1622 l 1468 1592 l 1497 1622 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1470 1654 m 1468 1655 l 1466 1654 l 1436 1624 l 1435 1622 l 1436 1620 l 1466 1590 l 1468 1589 l 1470 1590 l 1500 1620 l 1501 1622 l 1500 1624 l CP \r
+1495 1620 m 1495 1624 l 1466 1595 l 1470 1595 l 1441 1624 l 1441 1620 l 1470 1649 l 1466 1649 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1551 1651 m 1522 1622 l 1551 1593 l 1580 1622 l eofill\r
+GSE\r
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+0.2901 0.4941 0.7333 SC\r
+NP 1553 1653 m 1551 1654 l 1549 1653 l 1520 1624 l 1519 1622 l 1520 1620 l 1549 1591 l 1551 1590 l 1553 1591 l 1582 1620 l 1583 1622 l 1582 1624 l CP \r
+1578 1620 m 1578 1624 l 1549 1595 l 1553 1595 l 1524 1624 l 1524 1620 l 1553 1649 l 1549 1649 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1634 1663 m 1605 1634 l 1634 1605 l 1663 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1636 1665 m 1634 1666 l 1632 1665 l 1603 1636 l 1602 1634 l 1603 1632 l 1632 1603 l 1634 1602 l 1636 1603 l 1665 1632 l 1666 1634 l 1665 1636 l CP \r
+1661 1632 m 1661 1636 l 1632 1607 l 1636 1607 l 1607 1636 l 1607 1632 l 1636 1661 l 1632 1661 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1716 1385 m 1686 1356 l 1716 1327 l 1745 1356 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1718 1387 m 1716 1388 l 1714 1387 l 1684 1358 l 1683 1356 l 1684 1354 l 1714 1325 l 1716 1324 l 1718 1325 l 1748 1354 l 1748 1356 l 1748 1358 l CP \r
+1743 1354 m 1743 1358 l 1714 1329 l 1718 1329 l 1689 1358 l 1689 1354 l 1718 1383 l 1714 1383 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1799 1385 m 1770 1356 l 1799 1326 l 1828 1356 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1801 1388 m 1799 1388 l 1797 1388 l 1768 1358 l 1767 1356 l 1768 1354 l 1797 1324 l 1799 1323 l 1801 1324 l 1830 1354 l 1831 1356 l 1830 1358 l CP \r
+1826 1354 m 1826 1358 l 1797 1329 l 1801 1329 l 1772 1358 l 1772 1354 l 1801 1383 l 1797 1383 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1881 1643 m 1851 1614 l 1881 1585 l 1910 1614 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1883 1645 m 1881 1646 l 1879 1645 l 1849 1616 l 1848 1614 l 1849 1612 l 1879 1583 l 1881 1582 l 1883 1583 l 1913 1612 l 1913 1614 l 1913 1616 l CP \r
+1908 1612 m 1908 1616 l 1879 1587 l 1883 1587 l 1854 1616 l 1854 1612 l 1883 1641 l 1879 1641 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1964 1487 m 1935 1458 l 1964 1429 l 1993 1458 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1966 1489 m 1964 1490 l 1962 1489 l 1933 1460 l 1932 1458 l 1933 1456 l 1962 1427 l 1964 1426 l 1966 1427 l 1995 1456 l 1996 1458 l 1995 1460 l CP \r
+1991 1456 m 1991 1460 l 1962 1431 l 1966 1431 l 1937 1460 l 1937 1456 l 1966 1485 l 1962 1485 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2047 1647 m 2018 1618 l 2047 1588 l 2076 1618 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2049 1650 m 2047 1650 l 2045 1650 l 2016 1620 l 2015 1618 l 2016 1616 l 2045 1586 l 2047 1585 l 2049 1586 l 2078 1616 l 2079 1618 l 2078 1620 l CP \r
+2074 1616 m 2074 1620 l 2045 1591 l 2049 1591 l 2020 1620 l 2020 1616 l 2049 1645 l 2045 1645 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2129 1661 m 2100 1632 l 2129 1603 l 2158 1632 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2131 1663 m 2129 1664 l 2127 1663 l 2098 1634 l 2097 1632 l 2098 1630 l 2127 1601 l 2129 1600 l 2131 1601 l 2160 1630 l 2161 1632 l 2160 1634 l CP \r
+2156 1630 m 2156 1634 l 2127 1605 l 2131 1605 l 2102 1634 l 2102 1630 l 2131 1659 l 2127 1659 l CP \r
+fill\r
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+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2212 1663 m 2183 1634 l 2212 1604 l 2241 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2214 1666 m 2212 1666 l 2210 1666 l 2181 1636 l 2180 1634 l 2181 1632 l 2210 1602 l 2212 1601 l 2214 1602 l 2243 1632 l 2244 1634 l 2243 1636 l CP \r
+2239 1632 m 2239 1636 l 2210 1607 l 2214 1607 l 2185 1636 l 2185 1632 l 2214 1661 l 2210 1661 l CP \r
+fill\r
+GSE\r
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+0.3098 0.5058 0.7411 SC\r
+NP 2294 1197 m 2264 1168 l 2294 1139 l 2323 1168 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2296 1199 m 2294 1200 l 2292 1199 l 2262 1170 l 2261 1168 l 2262 1166 l 2292 1137 l 2294 1136 l 2296 1137 l 2326 1166 l 2326 1168 l 2326 1170 l CP \r
+2321 1166 m 2321 1170 l 2292 1141 l 2296 1141 l 2267 1170 l 2267 1166 l 2296 1195 l 2292 1195 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2377 1664 m 2348 1635 l 2377 1606 l 2406 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2379 1666 m 2377 1667 l 2375 1666 l 2346 1637 l 2345 1635 l 2346 1633 l 2375 1604 l 2377 1603 l 2379 1604 l 2408 1633 l 2409 1635 l 2408 1637 l CP \r
+2404 1633 m 2404 1637 l 2375 1608 l 2379 1608 l 2350 1637 l 2350 1633 l 2379 1662 l 2375 1662 l CP \r
+fill\r
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+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2460 1664 m 2431 1635 l 2460 1606 l 2489 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2462 1666 m 2460 1667 l 2458 1666 l 2429 1637 l 2428 1635 l 2429 1633 l 2458 1604 l 2460 1603 l 2462 1604 l 2491 1633 l 2492 1635 l 2491 1637 l CP \r
+2487 1633 m 2487 1637 l 2458 1608 l 2462 1608 l 2433 1637 l 2433 1633 l 2462 1662 l 2458 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2542 1647 m 2513 1618 l 2542 1589 l 2571 1618 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2544 1649 m 2542 1650 l 2540 1649 l 2511 1620 l 2510 1618 l 2511 1616 l 2540 1587 l 2542 1586 l 2544 1587 l 2573 1616 l 2574 1618 l 2573 1620 l CP \r
+2569 1616 m 2569 1620 l 2540 1591 l 2544 1591 l 2515 1620 l 2515 1616 l 2544 1645 l 2540 1645 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2625 1624 m 2596 1595 l 2625 1565 l 2654 1595 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2627 1627 m 2625 1627 l 2623 1627 l 2594 1597 l 2593 1595 l 2594 1593 l 2623 1563 l 2625 1562 l 2627 1563 l 2656 1593 l 2657 1595 l 2656 1597 l CP \r
+2652 1593 m 2652 1597 l 2623 1568 l 2627 1568 l 2598 1597 l 2598 1593 l 2627 1622 l 2623 1622 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2707 1663 m 2677 1634 l 2707 1605 l 2736 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2709 1665 m 2707 1666 l 2705 1665 l 2675 1636 l 2674 1634 l 2675 1632 l 2705 1603 l 2707 1602 l 2709 1603 l 2739 1632 l 2739 1634 l 2739 1636 l CP \r
+2734 1632 m 2734 1636 l 2705 1607 l 2709 1607 l 2680 1636 l 2680 1632 l 2709 1661 l 2705 1661 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2790 1563 m 2761 1534 l 2790 1505 l 2819 1534 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2792 1565 m 2790 1566 l 2788 1565 l 2759 1536 l 2758 1534 l 2759 1532 l 2788 1503 l 2790 1502 l 2792 1503 l 2821 1532 l 2822 1534 l 2821 1536 l CP \r
+2817 1532 m 2817 1536 l 2788 1507 l 2792 1507 l 2763 1536 l 2763 1532 l 2792 1561 l 2788 1561 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2872 1625 m 2842 1596 l 2872 1567 l 2901 1596 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2874 1627 m 2872 1628 l 2870 1627 l 2840 1598 l 2839 1596 l 2840 1594 l 2870 1565 l 2872 1564 l 2874 1565 l 2904 1594 l 2904 1596 l 2904 1598 l CP \r
+2899 1594 m 2899 1598 l 2870 1569 l 2874 1569 l 2845 1598 l 2845 1594 l 2874 1623 l 2870 1623 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2955 1542 m 2926 1513 l 2955 1484 l 2984 1513 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2957 1544 m 2955 1545 l 2953 1544 l 2924 1515 l 2923 1513 l 2924 1511 l 2953 1482 l 2955 1481 l 2957 1482 l 2986 1511 l 2987 1513 l 2986 1515 l CP \r
+2982 1511 m 2982 1515 l 2953 1486 l 2957 1486 l 2928 1515 l 2928 1511 l 2957 1540 l 2953 1540 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3038 1430 m 3009 1401 l 3038 1372 l 3067 1401 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3040 1432 m 3038 1433 l 3036 1432 l 3007 1403 l 3006 1401 l 3007 1399 l 3036 1370 l 3038 1369 l 3040 1370 l 3069 1399 l 3070 1401 l 3069 1403 l CP \r
+3065 1399 m 3065 1403 l 3036 1374 l 3040 1374 l 3011 1403 l 3011 1399 l 3040 1428 l 3036 1428 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3120 1647 m 3090 1618 l 3120 1589 l 3149 1618 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3122 1649 m 3120 1650 l 3118 1649 l 3088 1620 l 3087 1618 l 3088 1616 l 3118 1587 l 3120 1586 l 3122 1587 l 3152 1616 l 3152 1618 l 3152 1620 l CP \r
+3147 1616 m 3147 1620 l 3118 1591 l 3122 1591 l 3093 1620 l 3093 1616 l 3122 1645 l 3118 1645 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3203 1653 m 3174 1624 l 3203 1595 l 3232 1624 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3205 1655 m 3203 1656 l 3201 1655 l 3172 1626 l 3171 1624 l 3172 1622 l 3201 1593 l 3203 1592 l 3205 1593 l 3234 1622 l 3235 1624 l 3234 1626 l CP \r
+3230 1622 m 3230 1626 l 3201 1597 l 3205 1597 l 3176 1626 l 3176 1622 l 3205 1651 l 3201 1651 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3285 1389 m 3255 1360 l 3285 1330 l 3314 1360 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3287 1392 m 3285 1393 l 3283 1392 l 3253 1362 l 3252 1360 l 3253 1358 l 3283 1328 l 3285 1327 l 3287 1328 l 3317 1358 l 3318 1360 l 3317 1362 l CP \r
+3312 1358 m 3312 1362 l 3283 1333 l 3287 1333 l 3258 1362 l 3258 1358 l 3287 1387 l 3283 1387 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3368 1662 m 3339 1633 l 3368 1604 l 3397 1633 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3370 1664 m 3368 1665 l 3366 1664 l 3337 1635 l 3336 1633 l 3337 1631 l 3366 1602 l 3368 1601 l 3370 1602 l 3399 1631 l 3400 1633 l 3399 1635 l CP \r
+3395 1631 m 3395 1635 l 3366 1606 l 3370 1606 l 3341 1635 l 3341 1631 l 3370 1660 l 3366 1660 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3451 1664 m 3422 1635 l 3451 1606 l 3480 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3453 1666 m 3451 1667 l 3449 1666 l 3420 1637 l 3419 1635 l 3420 1633 l 3449 1604 l 3451 1603 l 3453 1604 l 3482 1633 l 3483 1635 l 3482 1637 l CP \r
+3478 1633 m 3478 1637 l 3449 1608 l 3453 1608 l 3424 1637 l 3424 1633 l 3453 1662 l 3449 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3533 1664 m 3504 1635 l 3533 1606 l 3562 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3535 1666 m 3533 1667 l 3531 1666 l 3502 1637 l 3501 1635 l 3502 1633 l 3531 1604 l 3533 1603 l 3535 1604 l 3564 1633 l 3565 1635 l 3564 1637 l CP \r
+3560 1633 m 3560 1637 l 3531 1608 l 3535 1608 l 3506 1637 l 3506 1633 l 3535 1662 l 3531 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3616 1664 m 3587 1635 l 3616 1606 l 3645 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3618 1666 m 3616 1667 l 3614 1666 l 3585 1637 l 3584 1635 l 3585 1633 l 3614 1604 l 3616 1603 l 3618 1604 l 3647 1633 l 3648 1635 l 3647 1637 l CP \r
+3643 1633 m 3643 1637 l 3614 1608 l 3618 1608 l 3589 1637 l 3589 1633 l 3618 1662 l 3614 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3698 1663 m 3668 1634 l 3698 1604 l 3727 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3700 1666 m 3698 1667 l 3696 1666 l 3666 1636 l 3665 1634 l 3666 1632 l 3696 1602 l 3698 1601 l 3700 1602 l 3730 1632 l 3731 1634 l 3730 1636 l CP \r
+3725 1632 m 3725 1636 l 3696 1607 l 3700 1607 l 3671 1636 l 3671 1632 l 3700 1661 l 3696 1661 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3781 1664 m 3752 1635 l 3781 1606 l 3810 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3783 1666 m 3781 1667 l 3779 1666 l 3750 1637 l 3749 1635 l 3750 1633 l 3779 1604 l 3781 1603 l 3783 1604 l 3812 1633 l 3813 1635 l 3812 1637 l CP \r
+3808 1633 m 3808 1637 l 3779 1608 l 3783 1608 l 3754 1637 l 3754 1633 l 3783 1662 l 3779 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3864 1663 m 3835 1634 l 3864 1604 l 3893 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3866 1666 m 3864 1666 l 3862 1666 l 3833 1636 l 3832 1634 l 3833 1632 l 3862 1602 l 3864 1601 l 3866 1602 l 3895 1632 l 3896 1634 l 3895 1636 l CP \r
+3891 1632 m 3891 1636 l 3862 1607 l 3866 1607 l 3837 1636 l 3837 1632 l 3866 1661 l 3862 1661 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3946 1661 m 3917 1632 l 3946 1602 l 3975 1632 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3948 1664 m 3946 1664 l 3944 1664 l 3915 1634 l 3914 1632 l 3915 1630 l 3944 1600 l 3946 1599 l 3948 1600 l 3977 1630 l 3978 1632 l 3977 1634 l CP \r
+3973 1630 m 3973 1634 l 3944 1605 l 3948 1605 l 3919 1634 l 3919 1630 l 3948 1659 l 3944 1659 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 4029 1663 m 4000 1634 l 4029 1605 l 4058 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 4031 1665 m 4029 1666 l 4027 1665 l 3998 1636 l 3997 1634 l 3998 1632 l 4027 1603 l 4029 1602 l 4031 1603 l 4060 1632 l 4061 1634 l 4060 1636 l CP \r
+4056 1632 m 4056 1636 l 4027 1607 l 4031 1607 l 4002 1636 l 4002 1632 l 4031 1661 l 4027 1661 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 4111 1664 m 4081 1635 l 4111 1606 l 4140 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 4113 1666 m 4111 1667 l 4109 1666 l 4079 1637 l 4078 1635 l 4079 1633 l 4109 1604 l 4111 1603 l 4113 1604 l 4143 1633 l 4143 1635 l 4143 1637 l CP \r
+4138 1633 m 4138 1637 l 4109 1608 l 4113 1608 l 4084 1637 l 4084 1633 l 4113 1662 l 4109 1662 l CP \r
+fill\r
+GSE\r
+\r
+%%EndDocument\r
+\r
+Pscript_WinNT_Compat dup /suspend get exec\r
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+/DeviceGray dup setcolorspace /colspABC exch def\r
+0 0 scol 254 VM?\r
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+/TT15Ct00 findfont /Encoding get\r
+dup 2 /g1004 put\r
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+618a>/TT15Ct00 AddT42Char \r
+/TT15Ct00 findfont /CharStrings get begin\r
+/g1009 1009 def\r
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+/TT15Ct00 findfont /Encoding get\r
+dup 3 /g1009 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
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+/TT15Ct00 findfont /CharStrings get begin\r
+/g1005 1005 def\r
+end\r
+/TT15Ct00 findfont /Encoding get\r
+dup 4 /g1005 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g1005 <0031> def\r
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+/TT15Ct00 findfont /CharStrings get begin\r
+/g1006 1006 def\r
+end\r
+/TT15Ct00 findfont /Encoding get\r
+dup 5 /g1006 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g1006 <0032> def\r
+G2UEnd\r
+604 1241 M <0502>[42  0]xS \r
+604 1137 M <0503>[42  0]xS \r
+254 VM?\r
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+/TT15Ct00 findfont /CharStrings get begin\r
+/g1007 1007 def\r
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+/TT15Ct00 findfont /Encoding get\r
+dup 6 /g1007 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g1007 <0033> def\r
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+604 1033 M <0602>[42  0]xS \r
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+/TT15Ct00 findfont /CharStrings get begin\r
+/g1008 1008 def\r
+end\r
+/TT15Ct00 findfont /Encoding get\r
+dup 7 /g1008 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g1008 <0034> def\r
+G2UEnd\r
+604 825 M <0702>[42  0]xS \r
+604 720 M <0703>[42  0]xS \r
+604 616 M <0302>[42  0]xS \r
+30000 VM?\r
+Pscript_WinNT_Compat begin /$x mysetup def end\r
+Pscript_WinNT_Incr dup /suspend get exec\r
+Pscript_WinNT_Compat dup /initialize get exec\r
+%%BeginDocument: Pscript_Win_PassThrough\r
+GpPBeg1\r
+NP 807 1677 m 806 1678 l 636 1848 l 707 1919 l 709 1920 l 709 1919 l 880 1748 l 809 1677 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 750 1841 m 751 1842 751 1842 751 1842 c 751 1843 752 1843 752 1843 c 752 1843 752 1844 752 1844 c 752 1844 752 1844 751 1844 c 735 1861 l 735 1861 734 1861 733 1862 c 733 1862 732 1861 731 1861 c 697 1826 l 697 1826 697 1826 697 1826 c 697 1826 697 1825 697 1825 c 697 1825 697 1825 697 1824 c 698 1824 698 1823 698 1823 c 699 1822 699 1822 700 1822 c 700 1822 700 1821 701 1821 c 701 1821 701 1821 701 1821 c 701 1821 702 1821 702 1821 c 734 1853 l 747 1840 l 747 1840 748 1840 748 1840 c 748 1840 748 1840 748 1840 c 749 1840 749 1840 749 1840 c 750 1841 750 1841 750 1841 c CP \r
+742 1783 m 743 1784 743 1784 743 1784 c 744 1785 744 1785 744 1785 c 744 1786 744 1786 744 1786 c 744 1786 744 1786 744 1786 c 730 1800 l 743 1813 l 755 1800 l 756 1800 756 1800 756 1800 c 756 1799 756 1799 757 1800 c 757 1800 757 1800 757 1800 c 758 1800 758 1800 758 1801 c 759 1801 759 1802 759 1802 c 760 1802 760 1802 760 1803 c 760 1803 760 1803 760 1803 c 760 1804 760 1804 760 1804 c 747 1817 l 762 1832 l 762 1832 762 1832 762 1833 c 762 1833 762 1833 762 1833 c 762 1834 762 1834 762 1834 c 761 1835 761 1835 761 1836 c 760 1836 760 1836 759 1837 c 759 1837 759 1837 758 1837 c 758 1837 758 1837 758 1837 c 758 1837 757 1837 757 1837 c 723 1803 l 722 1802 722 1801 722 1801 c 722 1800 722 1799 723 1799 c 739 1782 l 740 1782 740 1782 740 1782 c 740 1782 740 1782 741 1782 c 741 1782 741 1782 741 1783 c 742 1783 742 1783 742 1783 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 807 1677 m 806 1678 l 636 1848 l 707 1919 l 709 1920 l 709 1919 l 880 1748 l 809 1677 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 781 1785 m 782 1786 783 1787 783 1787 c 783 1788 783 1788 782 1788 c 770 1800 l 770 1801 770 1801 769 1801 c 769 1801 768 1800 767 1799 c 767 1799 766 1798 766 1798 c 766 1797 766 1797 766 1796 c 778 1785 l 779 1784 779 1784 779 1784 c 779 1784 779 1784 780 1784 c 780 1784 780 1784 780 1785 c 781 1785 781 1785 781 1785 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 807 1677 m 806 1678 l 636 1848 l 707 1919 l 709 1920 l 709 1919 l 880 1748 l 809 1677 l CP \r
+eoclip\r
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+fill\r
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+2382 1801 m 2382 1801 l 2394 1826 l 2407 1813 l CP \r
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+fill\r
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+fill\r
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+fill\r
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+fill\r
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+fill\r
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+\r
+%%EndDocument\r
+\r
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+pop\r
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+end\r
+/TT15Et00 findfont /Encoding get\r
+dup 10 /g39 put\r
+dup 11 /g271 put\r
+dup 12 /g400 put\r
+pop\r
+ /TT15Et00 /Font G2UBegin\r
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+G2UEnd\r
+2252 808 M <0A0B070C>[59 49 49  0]xS \r
+LH\r
+(%%[Page: 1]%%) = \r
+%%PageTrailer\r
+\r
+%%Trailer\r
+%%BoundingBox: 71 587 524 771\r
+%%DocumentNeededResources: \r
+%%DocumentSuppliedResources: \r
+%%+ procset Pscript_WinNT_ErrorHandler 5.0 0\r
+%%+ procset Pscript_FatalError 5.0 0\r
+%%+ procset Pscript_Win_Basic 5.0 0\r
+%%+ procset Pscript_Win_Utils_L2 5.0 0\r
+%%+ procset Pscript_T42Hdr 5.0 0\r
+%%+ procset Pscript_Text 5.0 0\r
+%%+ procset Pscript_WinNT_Compat 5.0 0\r
+Pscript_WinNT_Incr dup /terminate get exec\r
+ehsave restore\r
+%%Pages: 1\r
+(%%[LastPage]%%) = \r
+%%EOF\r
+\ 4\e%-12345X@PJL EOJ\r
+\e%-12345X\r

diff --git a/img2-eps-converted-to.pdf b/img2-eps-converted-to.pdf
new file mode 100644 (file)
index 0000000..bfc4e06
Binary files /dev/null and b/img2-eps-converted-to.pdf differ

diff --git a/img2.eps b/img2.eps
new file mode 100644 (file)
index 0000000..eccdc92
--- /dev/null
+++ b/img2.eps
@@ -0,0 +1,4717 @@
+\e%-12345X@PJL JOB\r
+@PJL ENTER LANGUAGE = POSTSCRIPT \r
+%!PS-Adobe-3.0\r
+%%Title: Microsoft Word - Document4\r
+%%Creator: PScript5.dll Version 5.2.2\r
+%%CreationDate: 11/23/2014 19:20:23\r
+%%For: PC NANO\r
+%%BoundingBox: 71 614 524 771\r
+%%Pages: (atend)\r
+%%Orientation: Portrait\r
+%%PageOrder: Special\r
+%%DocumentNeededResources: (atend)\r
+%%DocumentSuppliedResources: (atend)\r
+%%DocumentData: Clean7Bit\r
+%%TargetDevice: (360) (3011.045) 1\r
+%%LanguageLevel: 3\r
+%%EndComments\r
+\r
+%%BeginDefaults\r
+%%PageBoundingBox: 12 12 583 830\r
+%%ViewingOrientation: 1 0 0 1\r
+%%EndDefaults\r
+\r
+\r
+%%BeginProlog\r
+%%BeginResource: file Pscript_WinNT_ErrorHandler 5.0 0\r
+/currentpacking where{pop/oldpack currentpacking def/setpacking where{pop false\r
+setpacking}if}if/$brkpage 64 dict def $brkpage begin/prnt{dup type/stringtype\r
+ne{=string cvs}if dup length 6 mul/tx exch def/ty 10 def currentpoint/toy exch\r
+def/tox exch def 1 setgray newpath tox toy 2 sub moveto 0 ty rlineto tx 0\r
+rlineto 0 ty neg rlineto closepath fill tox toy moveto 0 setgray show}bind def\r
+/nl{currentpoint exch pop lmargin exch moveto 0 -10 rmoveto}def/=={/cp 0 def\r
+typeprint nl}def/typeprint{dup type exec}readonly def/lmargin 72 def/rmargin 72\r
+def/tprint{dup length cp add rmargin gt{nl/cp 0 def}if dup length cp add/cp\r
+exch def prnt}readonly def/cvsprint{=string cvs tprint( )tprint}readonly def\r
+/integertype{cvsprint}readonly def/realtype{cvsprint}readonly def/booleantype\r
+{cvsprint}readonly def/operatortype{(--)tprint =string cvs tprint(-- )tprint}\r
+readonly def/marktype{pop(-mark- )tprint}readonly def/dicttype{pop\r
+(-dictionary- )tprint}readonly def/nulltype{pop(-null- )tprint}readonly def\r
+/filetype{pop(-filestream- )tprint}readonly def/savetype{pop(-savelevel- )\r
+tprint}readonly def/fonttype{pop(-fontid- )tprint}readonly def/nametype{dup\r
+xcheck not{(/)tprint}if cvsprint}readonly def/stringtype{dup rcheck{(\()tprint\r
+tprint(\))tprint}{pop(-string- )tprint}ifelse}readonly def/arraytype{dup rcheck\r
+{dup xcheck{({)tprint{typeprint}forall(})tprint}{([)tprint{typeprint}forall(])\r
+tprint}ifelse}{pop(-array- )tprint}ifelse}readonly def/packedarraytype{dup\r
+rcheck{dup xcheck{({)tprint{typeprint}forall(})tprint}{([)tprint{typeprint}\r
+forall(])tprint}ifelse}{pop(-packedarray- )tprint}ifelse}readonly def/courier\r
+/Courier findfont 10 scalefont def end errordict/handleerror{systemdict begin\r
+$error begin $brkpage begin newerror{/newerror false store vmstatus pop pop 0\r
+ne{grestoreall}if errorname(VMerror)ne{showpage}if initgraphics courier setfont\r
+lmargin 720 moveto errorname(VMerror)eq{userdict/ehsave known{clear userdict\r
+/ehsave get restore 2 vmreclaim}if vmstatus exch pop exch pop PrtVMMsg}{\r
+(ERROR: )prnt errorname prnt nl(OFFENDING COMMAND: )prnt/command load prnt\r
+$error/ostack known{nl nl(STACK:)prnt nl nl $error/ostack get aload length{==}\r
+repeat}if}ifelse systemdict/showpage get exec(%%[ Error: )print errorname\r
+=print(; OffendingCommand: )print/command load =print( ]%%)= flush}if end end\r
+end}dup 0 systemdict put dup 4 $brkpage put bind readonly put/currentpacking\r
+where{pop/setpacking where{pop oldpack setpacking}if}if\r
+%%EndResource\r
+userdict /Pscript_WinNT_Incr 230 dict dup begin put\r
+%%BeginResource: file Pscript_FatalError 5.0 0\r
+userdict begin/FatalErrorIf{{initgraphics findfont 1 index 0 eq{exch pop}{dup\r
+length dict begin{1 index/FID ne{def}{pop pop}ifelse}forall/Encoding\r
+{ISOLatin1Encoding}stopped{StandardEncoding}if def currentdict end\r
+/ErrFont-Latin1 exch definefont}ifelse exch scalefont setfont counttomark 3 div\r
+cvi{moveto show}repeat showpage quit}{cleartomark}ifelse}bind def end\r
+%%EndResource\r
+userdict begin/PrtVMMsg{vmstatus exch sub exch pop gt{[\r
+(La m�moire disponible est insuffisante pour imprimer ce document.)100 500\r
+(Essayez une ou plusieurs des op�rations suivantes, puis recommencez :)100 485\r
+(Choisissez le format d'impression Optimiser pour portabilit�.)115 470\r
+(Assurez-vous que la valeur de l'option M�moire PostScript disponible indiqu�e sur la page Param�tres du p�riph�rique est exacte.)\r
+115 455(R�duisez le nombre de polices utilis�es dans le document.)115 440\r
+(Imprimez-le en plusieurs fois.)115 425 12/Times-Roman showpage\r
+(%%[ PrinterError: Low Printer VM ]%%)= true FatalErrorIf}if}bind def end\r
+version cvi 2016 ge{/VM?{pop}bind def}{/VM? userdict/PrtVMMsg get def}ifelse\r
+105000 VM?\r
+%%BeginResource: file Pscript_Win_Basic 5.0 0\r
+/d/def load def/,/load load d/~/exch , d/?/ifelse , d/!/pop , d/`/begin , d/^\r
+/index , d/@/dup , d/+/translate , d/$/roll , d/U/userdict , d/M/moveto , d/-\r
+/rlineto , d/&/currentdict , d/:/gsave , d/;/grestore , d/F/false , d/T/true ,\r
+d/N/newpath , d/E/end , d/Ac/arc , d/An/arcn , d/A/ashow , d/D/awidthshow , d/C\r
+/closepath , d/V/div , d/O/eofill , d/L/fill , d/I/lineto , d/-c/curveto , d/-M\r
+/rmoveto , d/+S/scale , d/Ji/setfont , d/Lc/setlinecap , d/Lj/setlinejoin , d\r
+/Lw/setlinewidth , d/Lm/setmiterlimit , d/sd/setdash , d/S/show , d/LH/showpage\r
+, d/K/stroke , d/W/widthshow , d/R/rotate , d/L2? false/languagelevel where{pop\r
+languagelevel 2 ge{pop true}if}if d L2?{/xS/xshow , d/yS/yshow , d/zS/xyshow ,\r
+d}if/b{bind d}bind d/bd{bind d}bind d/xd{~ d}bd/ld{, d}bd/bn/bind ld/lw/Lw ld\r
+/lc/Lc ld/lj/Lj ld/sg/setgray ld/ADO_mxRot null d/self & d/OrgMx matrix\r
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+/g3 3 def\r
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+dup 1 /g3 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g3 <0020> def\r
+G2UEnd\r
+Pscript_WinNT_Incr begin\r
+%%BeginResource: file Pscript_Text 5.0 0\r
+/TextInit{TextInitialised? not{/Pscript_Windows_Font & d/TextInitialised? T d\r
+/fM[1 0 0 1 0 0]d/mFM matrix d/iMat[1 0 0.212557 1 0 0]d}if}b/copyfont{1 ^\r
+length add dict `{1 ^/FID ne{d}{! !}?}forall & E}b/EncodeDict 11 dict d/bullets\r
+{{/bullet}repeat}b/rF{3 copyfont @ ` ~ EncodeDict ~ get/Encoding ~ 3 ^/0 eq{&\r
+/CharStrings known{CharStrings/Eth known not{! EncodeDict/ANSIEncodingOld get}\r
+if}if}if d E}b/mF{@ 7 1 $ findfont ~{@/Encoding get @ StandardEncoding eq{! T}{\r
+{ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get\r
+StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{1 ^ ~ rF}{0 copyfont}? 6 -2 $\r
+! ! ~ !/pd_charset @ where{~ get 128 eq{@ FDV 2 copy get @ length array copy\r
+put pd_CoverFCRange}if}{!}? 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0 put fM\r
+makefont Pscript_Windows_Font 3 1 $ put}b/sLT{: Lw -M currentpoint snap M 0 - 0\r
+Lc K ;}b/xUP null d/yUP null d/uW null d/xSP null d/ySP null d/sW null d/sSU{N\r
+/uW ~ d/yUP ~ d/xUP ~ d}b/sU{xUP yUP uW sLT}b/sST{N/sW ~ d/ySP ~ d/xSP ~ d}b/sT\r
+{xSP ySP sW sLT}b/sR{: + R 0 0 M}b/sRxy{: matrix astore concat 0 0 M}b/eR/; , d\r
+/AddOrigFP{{&/FontInfo known{&/FontInfo get length 6 add}{6}? dict `\r
+/WinPitchAndFamily ~ d/WinCharSet ~ d/OrigFontType ~ d/OrigFontStyle ~ d\r
+/OrigFontName ~ d & E/FontInfo ~ d}{! ! ! ! !}?}b/mFS{makefont\r
+Pscript_Windows_Font 3 1 $ put}b/mF42D{0 copyfont `/FontName ~ d 2 copy ~ sub 1\r
+add dict `/.notdef 0 d 2 copy 1 ~{@ 3 ^ sub Encoding ~ get ~ d}for & E\r
+/CharStrings ~ d ! ! & @ E/FontName get ~ definefont}b/mF42{15 dict ` @ 4 1 $\r
+FontName ~ d/FontType 0 d/FMapType 2 d/FontMatrix[1 0 0 1 0 0]d 1 ^ 254 add 255\r
+idiv @ array/Encoding ~ d 0 1 3 -1 $ 1 sub{@ Encoding 3 1 $ put}for/FDepVector\r
+Encoding length array d/CharStrings 2 dict `/.notdef 0 d & E d 0 1 Encoding\r
+length 1 sub{@ @ 10 lt{! FontName length 1 add string}{100 lt{FontName length 2\r
+add string}{FontName length 3 add string}?}? @ 0 FontName @ length string cvs\r
+putinterval @ 3 -1 $ @ 4 1 $ 3 string cvs FontName length ~ putinterval cvn 1 ^\r
+256 mul @ 255 add 3 -1 $ 4 ^ findfont mF42D FDepVector 3 1 $ put}for & @ E\r
+/FontName get ~ definefont ! ! ! mF}b/mF_OTF_V{~ ! ~ ! 4 -1 $ ! findfont 2 ^ ~\r
+definefont fM @ @ 4 6 -1 $ neg put 5 0 put 90 matrix R matrix concatmatrix\r
+makefont Pscript_Windows_Font 3 1 $ put}b/mF_TTF_V{3{~ !}repeat 3 -1 $ !\r
+findfont 1 ^ ~ definefont Pscript_Windows_Font 3 1 $ put}b/UmF{L2?\r
+{Pscript_Windows_Font ~ undef}{!}?}b/UmF42{@ findfont/FDepVector get{/FontName\r
+get undefinefont}forall undefinefont}b\r
+%%EndResource\r
+end reinitialize\r
+F /F0 0 /0 F /TT15Ct00 mF \r
+/F0S5CYFFFFFFA4 F0 [92.324 0 0 -92 0 0 ] mFS\r
+F0S5CYFFFFFFA4 Ji \r
+4287 1790 M <01>S \r
+30000 VM?\r
+Pscript_WinNT_Incr begin\r
+%%BeginResource: file Pscript_WinNT_Compat 5.0 0\r
+userdict/Pscript_WinNT_Compat 19 dict dup begin/bd{bind def}bind def/ld{load\r
+def}bd/$x matrix def/ANSIVec[16#0/grave 16#1/acute 16#2/circumflex 16#3/tilde\r
+16#4/macron 16#5/breve 16#6/dotaccent 16#7/dieresis 16#8/ring 16#9/cedilla 16#A\r
+/hungarumlaut 16#B/ogonek 16#C/caron 16#D/dotlessi 16#27/quotesingle 16#60\r
+/grave 16#7C/bar 16#82/quotesinglbase 16#83/florin 16#84/quotedblbase 16#85\r
+/ellipsis 16#86/dagger 16#87/daggerdbl 16#88/circumflex 16#89/perthousand 16#8A\r
+/Scaron 16#8B/guilsinglleft 16#8C/OE 16#91/quoteleft 16#92/quoteright 16#93\r
+/quotedblleft 16#94/quotedblright 16#95/bullet 16#96/endash 16#97/emdash 16#98\r
+/tilde 16#99/trademark 16#9A/scaron 16#9B/guilsinglright 16#9C/oe 16#9F\r
+/Ydieresis 16#A0/space 16#A1/exclamdown 16#A4/currency 16#A5/yen 16#A6\r
+/brokenbar 16#A7/section 16#A8/dieresis 16#A9/copyright 16#AA/ordfeminine 16#AB\r
+/guillemotleft 16#AC/logicalnot 16#AD/hyphen 16#AE/registered 16#AF/macron\r
+16#B0/degree 16#B1/plusminus 16#B2/twosuperior 16#B3/threesuperior 16#B4/acute\r
+16#B5/mu 16#B6/paragraph 16#B7/periodcentered 16#B8/cedilla 16#B9/onesuperior\r
+16#BA/ordmasculine 16#BB/guillemotright 16#BC/onequarter 16#BD/onehalf 16#BE\r
+/threequarters 16#BF/questiondown 16#C0/Agrave 16#C1/Aacute 16#C2/Acircumflex\r
+16#C3/Atilde 16#C4/Adieresis 16#C5/Aring 16#C6/AE 16#C7/Ccedilla 16#C8/Egrave\r
+16#C9/Eacute 16#CA/Ecircumflex 16#CB/Edieresis 16#CC/Igrave 16#CD/Iacute 16#CE\r
+/Icircumflex 16#CF/Idieresis 16#D0/Eth 16#D1/Ntilde 16#D2/Ograve 16#D3/Oacute\r
+16#D4/Ocircumflex 16#D5/Otilde 16#D6/Odieresis 16#D7/multiply 16#D8/Oslash\r
+16#D9/Ugrave 16#DA/Uacute 16#DB/Ucircumflex 16#DC/Udieresis 16#DD/Yacute 16#DE\r
+/Thorn 16#DF/germandbls 16#E0/agrave 16#E1/aacute 16#E2/acircumflex 16#E3\r
+/atilde 16#E4/adieresis 16#E5/aring 16#E6/ae 16#E7/ccedilla 16#E8/egrave 16#E9\r
+/eacute 16#EA/ecircumflex 16#EB/edieresis 16#EC/igrave 16#ED/iacute 16#EE\r
+/icircumflex 16#EF/idieresis 16#F0/eth 16#F1/ntilde 16#F2/ograve 16#F3/oacute\r
+16#F4/ocircumflex 16#F5/otilde 16#F6/odieresis 16#F7/divide 16#F8/oslash 16#F9\r
+/ugrave 16#FA/uacute 16#FB/ucircumflex 16#FC/udieresis 16#FD/yacute 16#FE/thorn\r
+16#FF/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{pop\r
+pop}ifelse}forall/initialize{currentdict exch begin begin}bind def/terminate{\r
+/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate load def\r
+/resume/initialize load def/RS{/pagesave where{pop pagesave restore}{$x matrix\r
+invertmatrix concat}ifelse}def/SS{/pagesave save def}def/CB{pop pop pop pop}def\r
+/B{pop pop pop pop}def/:/gsave load def/;/grestore load def/N/newpath load def\r
+end put\r
+%%EndResource\r
+end reinitialize\r
+Pscript_WinNT_Compat begin /$x mysetup def end\r
+Pscript_WinNT_Incr dup /suspend get exec\r
+Pscript_WinNT_Compat dup /initialize get exec\r
+%%BeginDocument: Pscript_Win_PassThrough\r
+/languagelevel where {pop languagelevel} {1} ifelse\r
+2 ge dup {currentglobal exch true setglobal globaldict} {userdict} ifelse\r
+/GpPBeg1 {\r
+    gsave initclip\r
+    16 dict begin\r
+    /c {curveto} def /l {lineto} def /m {moveto} def\r
+    /rc {rcurveto} def /rl {rlineto} def\r
+    /NP {newpath} def /CP {closepath} def /SC {setrgbcolor} def\r
+    /GSE {end grestore} def\r
+} put\r
+{setglobal} if\r
+GpPBeg1\r
+NP 0 500 m 4758 500 l 4758 1807 l 0 1807 l CP \r
+eoclip\r
+1 1 1 SC\r
+NP 513 500 m 4271 500 l 4271 1791 l 513 1791 l CP \r
+eofill\r
+GSE\r
+GpPBeg1\r
+1 1 1 SC\r
+NP 851 593 m 4153 593 l 4153 1411 l 851 1411 l CP \r
+eofill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 851 1272 m 4153 1272 l 4153 1278 l 851 1278 l CP \r
+851 1135 m 4153 1135 l 4153 1141 l 851 1141 l CP \r
+851 999 m 4153 999 l 4153 1005 l 851 1005 l CP \r
+851 863 m 4153 863 l 4153 869 l 851 869 l CP \r
+851 726 m 4153 726 l 4153 732 l 851 732 l CP \r
+851 590 m 4153 590 l 4153 596 l 851 596 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 848 1411 m 848 593 l 854 593 l 854 1411 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 825 1408 m 851 1408 l 851 1414 l 825 1414 l CP \r
+825 1272 m 851 1272 l 851 1278 l 825 1278 l CP \r
+825 1135 m 851 1135 l 851 1141 l 825 1141 l CP \r
+825 999 m 851 999 l 851 1005 l 825 1005 l CP \r
+825 863 m 851 863 l 851 869 l 825 869 l CP \r
+825 726 m 851 726 l 851 732 l 825 732 l CP \r
+825 590 m 851 590 l 851 596 l 825 596 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 851 1408 m 4153 1408 l 4153 1414 l 851 1414 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 854 1411 m 854 1438 l 848 1438 l 848 1411 l CP \r
+935 1411 m 935 1438 l 929 1438 l 929 1411 l CP \r
+1015 1411 m 1015 1438 l 1009 1438 l 1009 1411 l CP \r
+1096 1411 m 1096 1438 l 1090 1438 l 1090 1411 l CP \r
+1176 1411 m 1176 1438 l 1170 1438 l 1170 1411 l CP \r
+1257 1411 m 1257 1438 l 1251 1438 l 1251 1411 l CP \r
+1337 1411 m 1337 1438 l 1331 1438 l 1331 1411 l CP \r
+1418 1411 m 1418 1438 l 1412 1438 l 1412 1411 l CP \r
+1498 1411 m 1498 1438 l 1492 1438 l 1492 1411 l CP \r
+1579 1411 m 1579 1438 l 1573 1438 l 1573 1411 l CP \r
+1659 1411 m 1659 1438 l 1653 1438 l 1653 1411 l CP \r
+1740 1411 m 1740 1438 l 1734 1438 l 1734 1411 l CP \r
+1820 1411 m 1820 1438 l 1814 1438 l 1814 1411 l CP \r
+1901 1411 m 1901 1438 l 1895 1438 l 1895 1411 l CP \r
+1982 1411 m 1982 1438 l 1976 1438 l 1976 1411 l CP \r
+2062 1411 m 2062 1438 l 2056 1438 l 2056 1411 l CP \r
+2143 1411 m 2143 1438 l 2137 1438 l 2137 1411 l CP \r
+2223 1411 m 2223 1438 l 2217 1438 l 2217 1411 l CP \r
+2304 1411 m 2304 1438 l 2298 1438 l 2298 1411 l CP \r
+2384 1411 m 2384 1438 l 2378 1438 l 2378 1411 l CP \r
+2465 1411 m 2465 1438 l 2459 1438 l 2459 1411 l CP \r
+2545 1411 m 2545 1438 l 2539 1438 l 2539 1411 l CP \r
+2626 1411 m 2626 1438 l 2620 1438 l 2620 1411 l CP \r
+2706 1411 m 2706 1438 l 2700 1438 l 2700 1411 l CP \r
+2787 1411 m 2787 1438 l 2781 1438 l 2781 1411 l CP \r
+2867 1411 m 2867 1438 l 2861 1438 l 2861 1411 l CP \r
+2948 1411 m 2948 1438 l 2942 1438 l 2942 1411 l CP \r
+3028 1411 m 3028 1438 l 3022 1438 l 3022 1411 l CP \r
+3109 1411 m 3109 1438 l 3103 1438 l 3103 1411 l CP \r
+3190 1411 m 3190 1438 l 3184 1438 l 3184 1411 l CP \r
+3270 1411 m 3270 1438 l 3264 1438 l 3264 1411 l CP \r
+3351 1411 m 3351 1438 l 3345 1438 l 3345 1411 l CP \r
+3431 1411 m 3431 1438 l 3425 1438 l 3425 1411 l CP \r
+3512 1411 m 3512 1438 l 3506 1438 l 3506 1411 l CP \r
+3592 1411 m 3592 1438 l 3586 1438 l 3586 1411 l CP \r
+3673 1411 m 3673 1438 l 3667 1438 l 3667 1411 l CP \r
+3753 1411 m 3753 1438 l 3747 1438 l 3747 1411 l CP \r
+3834 1411 m 3834 1438 l 3828 1438 l 3828 1411 l CP \r
+3914 1411 m 3914 1438 l 3908 1438 l 3908 1411 l CP \r
+3995 1411 m 3995 1438 l 3989 1438 l 3989 1411 l CP \r
+4075 1411 m 4075 1438 l 4069 1438 l 4069 1411 l CP \r
+4156 1411 m 4156 1438 l 4150 1438 l 4150 1411 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 851 593 m 4153 593 l 4153 1411 l 851 1411 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 884 1367 m 965 1278 l 966 1277 966 1277 967 1277 c 1047 1221 l 1049 1219 1052 1219 1054 1219 c 1057 1220 1059 1222 1060 1224 c 1141 1407 l 1129 1403 l 1209 1363 l 1211 1362 1213 1362 1215 1362 c 1296 1385 l 1285 1392 l 1365 1068 l 1366 1064 1370 1061 1374 1061 c 1378 1061 1381 1063 1383 1067 c 1464 1331 l 1449 1327 l 1529 1256 l 1530 1256 1531 1255 1532 1255 c 1613 1222 l 1616 1220 1620 1221 1623 1224 c 1703 1314 l 1784 1405 l 1773 1403 l 1853 1363 l 1854 1363 1855 1362 1855 1362 c 1936 1347 l 1939 1347 1941 1347 1943 1349 c 2023 1404 l 2018 1402 l 2099 1402 l 2090 1410 l 2170 639 l 2170 634 2174 631 2179 631 c 2184 631 2187 634 2188 639 c 2269 1410 l 2260 1402 l 2340 1402 l 2420 1394 l 2421 1394 2421 1394 2421 1394 c 2502 1398 l 2582 1402 l 2580 1402 l 2661 1385 l 2662 1385 2662 1385 2663 1385 c 2743 1385 l 2825 1391 l 2818 1393 l 2898 1326 l 2901 1324 2905 1323 2908 1325 c 2989 1362 l 2978 1365 l 3058 1248 l 3059 1245 3062 1244 3065 1244 c 3068 1244 3071 1246 3073 1248 c 3154 1383 l 3148 1379 l 3228 1402 l 3218 1407 l 3299 1246 l 3300 1243 3304 1241 3307 1241 c 3310 1241 3314 1243 3315 1246 c 3395 1407 l 3387 1402 l 3468 1402 l 3548 1402 l 3629 1402 l 3709 1402 l 3790 1402 l 3870 1402 l 3951 1402 l 4031 1402 l 4112 1402 l 4117 1402 4121 1406 4121 1411 c 4121 1416 4117 1420 4112 1420 c 4031 1420 l 3951 1420 l 3870 1420 l 3790 1420 l 3709 1420 l 3629 1420 l 3548 1420 l 3468 1420 l 3387 1420 l 3384 1420 3380 1418 3379 1415 c 3299 1254 l 3315 1254 l 3234 1415 l 3232 1419 3228 1421 3223 1420 c 3143 1397 l 3141 1396 3139 1395 3138 1393 c 3057 1258 l 3072 1258 l 2992 1375 l 2990 1379 2985 1380 2981 1378 c 2900 1341 l 2910 1340 l 2830 1407 l 2828 1408 2826 1409 2823 1409 c 2743 1403 l 2663 1403 l 2665 1403 l 2584 1420 l 2583 1420 2582 1420 2582 1420 c 2502 1416 l 2421 1412 l 2422 1412 l 2340 1420 l 2260 1420 l 2255 1420 2251 1416 2251 1412 c 2170 641 l 2188 641 l 2108 1412 l 2107 1416 2104 1420 2099 1420 c 2018 1420 l 2016 1420 2014 1419 2013 1418 c 1933 1363 l 1940 1365 l 1859 1380 l 1861 1379 l 1781 1419 l 1777 1421 1773 1420 1770 1417 c 1689 1326 l 1609 1236 l 1619 1238 l 1538 1271 l 1541 1270 l 1461 1341 l 1459 1343 1455 1343 1453 1343 c 1450 1342 1447 1340 1446 1337 c 1365 1073 l 1383 1072 l 1303 1396 l 1302 1398 1301 1401 1298 1402 c 1296 1403 1294 1403 1292 1403 c 1211 1380 l 1217 1379 l 1137 1419 l 1135 1420 1132 1420 1130 1419 c 1128 1419 1126 1417 1125 1415 c 1044 1232 l 1057 1235 l 977 1291 l 979 1290 l 898 1379 l 894 1383 889 1383 885 1380 c 881 1376 881 1371 884 1367 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 891 1402 m 862 1373 l 891 1344 l 920 1373 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 893 1404 m 891 1405 l 889 1404 l 860 1375 l 859 1373 l 860 1371 l 889 1342 l 891 1341 l 893 1342 l 922 1371 l 923 1373 l 922 1375 l CP \r
+918 1371 m 918 1375 l 889 1346 l 893 1346 l 864 1375 l 864 1371 l 893 1400 l 889 1400 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 972 1313 m 942 1283 l 972 1254 l 1001 1283 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 974 1315 m 972 1316 l 970 1315 l 940 1286 l 939 1283 l 940 1281 l 970 1252 l 972 1251 l 974 1252 l 1003 1281 l 1004 1283 l 1003 1286 l CP \r
+999 1281 m 999 1286 l 970 1256 l 974 1256 l 945 1286 l 945 1281 l 974 1310 l 970 1310 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1052 1257 m 1023 1228 l 1052 1199 l 1081 1228 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1054 1259 m 1052 1260 l 1050 1259 l 1021 1230 l 1020 1228 l 1021 1226 l 1050 1197 l 1052 1196 l 1054 1197 l 1083 1226 l 1084 1228 l 1083 1230 l CP \r
+1079 1226 m 1079 1230 l 1050 1201 l 1054 1201 l 1025 1230 l 1025 1226 l 1054 1255 l 1050 1255 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1133 1440 m 1104 1411 l 1133 1382 l 1162 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1135 1442 m 1133 1443 l 1131 1442 l 1101 1413 l 1100 1411 l 1101 1409 l 1131 1380 l 1133 1379 l 1135 1380 l 1164 1409 l 1165 1411 l 1164 1413 l CP \r
+1160 1409 m 1160 1413 l 1131 1384 l 1135 1384 l 1106 1413 l 1106 1409 l 1135 1438 l 1131 1438 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1213 1400 m 1184 1370 l 1213 1341 l 1242 1370 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1215 1402 m 1213 1403 l 1211 1402 l 1182 1373 l 1182 1368 l 1211 1339 l 1215 1339 l 1245 1368 l 1245 1373 l CP \r
+1240 1368 m 1240 1373 l 1211 1343 l 1215 1343 l 1186 1373 l 1186 1368 l 1215 1397 l 1211 1397 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1294 1423 m 1265 1393 l 1294 1364 l 1323 1393 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1296 1425 m 1294 1426 l 1292 1425 l 1262 1396 l 1262 1391 l 1292 1362 l 1294 1361 l 1296 1362 l 1325 1391 l 1325 1396 l CP \r
+1321 1391 m 1321 1396 l 1292 1366 l 1296 1366 l 1267 1396 l 1267 1391 l 1296 1420 l 1292 1420 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1374 1100 m 1345 1070 l 1374 1041 l 1403 1070 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1376 1102 m 1374 1103 l 1372 1102 l 1343 1072 l 1343 1068 l 1372 1039 l 1374 1038 l 1376 1039 l 1406 1068 l 1406 1072 l CP \r
+1401 1068 m 1401 1072 l 1372 1043 l 1376 1043 l 1347 1072 l 1347 1068 l 1376 1097 l 1372 1097 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1455 1363 m 1426 1334 l 1455 1305 l 1484 1334 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1457 1366 m 1455 1367 l 1453 1366 l 1423 1336 l 1423 1332 l 1453 1303 l 1455 1302 l 1457 1303 l 1486 1332 l 1486 1336 l CP \r
+1482 1332 m 1482 1336 l 1453 1307 l 1457 1307 l 1428 1336 l 1428 1332 l 1457 1361 l 1453 1361 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1535 1292 m 1506 1263 l 1535 1234 l 1564 1263 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1537 1294 m 1533 1294 l 1504 1265 l 1503 1263 l 1504 1261 l 1533 1231 l 1537 1231 l 1567 1261 l 1567 1265 l CP \r
+1562 1261 m 1562 1265 l 1533 1236 l 1537 1236 l 1508 1265 l 1508 1261 l 1537 1290 l 1533 1290 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1616 1259 m 1587 1230 l 1616 1201 l 1645 1230 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1618 1261 m 1616 1262 l 1614 1261 l 1585 1232 l 1584 1230 l 1585 1228 l 1614 1198 l 1616 1197 l 1618 1198 l 1647 1228 l 1648 1230 l 1647 1232 l CP \r
+1643 1228 m 1643 1232 l 1614 1203 l 1618 1203 l 1589 1232 l 1589 1228 l 1618 1257 l 1614 1257 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1696 1349 m 1667 1320 l 1696 1290 l 1725 1320 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1698 1351 m 1696 1352 l 1694 1351 l 1665 1322 l 1664 1320 l 1665 1317 l 1694 1288 l 1696 1287 l 1698 1288 l 1728 1317 l 1729 1320 l 1728 1322 l CP \r
+1723 1317 m 1723 1322 l 1694 1293 l 1698 1293 l 1669 1322 l 1669 1317 l 1698 1347 l 1694 1347 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1777 1440 m 1748 1411 l 1777 1382 l 1806 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1779 1442 m 1777 1443 l 1775 1442 l 1746 1413 l 1745 1411 l 1746 1409 l 1775 1380 l 1777 1379 l 1779 1380 l 1808 1409 l 1809 1411 l 1808 1413 l CP \r
+1804 1409 m 1804 1413 l 1775 1384 l 1779 1384 l 1750 1413 l 1750 1409 l 1779 1438 l 1775 1438 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1857 1400 m 1828 1371 l 1857 1342 l 1886 1371 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1859 1402 m 1857 1403 l 1855 1402 l 1826 1373 l 1825 1371 l 1826 1369 l 1855 1340 l 1857 1339 l 1859 1340 l 1889 1369 l 1890 1371 l 1889 1373 l CP \r
+1884 1369 m 1884 1373 l 1855 1344 l 1859 1344 l 1830 1373 l 1830 1369 l 1859 1398 l 1855 1398 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1938 1385 m 1909 1355 l 1938 1326 l 1967 1355 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1940 1387 m 1938 1388 l 1936 1387 l 1907 1358 l 1906 1356 l 1907 1353 l 1936 1324 l 1940 1324 l 1969 1353 l 1970 1356 l 1969 1358 l CP \r
+1965 1353 m 1965 1358 l 1936 1328 l 1940 1328 l 1911 1358 l 1911 1353 l 1940 1382 l 1936 1382 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2018 1440 m 1989 1411 l 2018 1382 l 2048 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2021 1442 m 2018 1443 l 2016 1442 l 1987 1413 l 1986 1411 l 1987 1409 l 2016 1380 l 2018 1379 l 2021 1380 l 2050 1409 l 2051 1411 l 2050 1413 l CP \r
+2045 1409 m 2045 1413 l 2016 1384 l 2021 1384 l 1991 1413 l 1991 1409 l 2021 1438 l 2016 1438 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2099 1440 m 2070 1411 l 2099 1382 l 2128 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2101 1442 m 2099 1443 l 2097 1442 l 2068 1413 l 2067 1411 l 2068 1409 l 2097 1380 l 2099 1379 l 2101 1380 l 2130 1409 l 2131 1411 l 2130 1413 l CP \r
+2126 1409 m 2126 1413 l 2097 1384 l 2101 1384 l 2072 1413 l 2072 1409 l 2101 1438 l 2097 1438 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2179 669 m 2150 640 l 2179 611 l 2209 640 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2182 671 m 2179 672 l 2177 671 l 2148 642 l 2147 640 l 2148 638 l 2177 609 l 2179 608 l 2182 609 l 2211 638 l 2212 640 l 2211 642 l CP \r
+2206 638 m 2206 642 l 2177 613 l 2182 613 l 2152 642 l 2152 638 l 2182 667 l 2177 667 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2260 1440 m 2231 1411 l 2260 1382 l 2289 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2262 1442 m 2260 1443 l 2258 1442 l 2229 1413 l 2228 1411 l 2229 1409 l 2258 1380 l 2260 1379 l 2262 1380 l 2291 1409 l 2292 1411 l 2291 1413 l CP \r
+2287 1409 m 2287 1413 l 2258 1384 l 2262 1384 l 2233 1413 l 2233 1409 l 2262 1438 l 2258 1438 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2340 1440 m 2311 1411 l 2340 1382 l 2370 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2343 1442 m 2341 1443 l 2338 1442 l 2309 1413 l 2309 1409 l 2338 1380 l 2341 1379 l 2343 1380 l 2372 1409 l 2373 1411 l 2372 1413 l CP \r
+2368 1409 m 2368 1413 l 2338 1384 l 2343 1384 l 2313 1413 l 2313 1409 l 2343 1438 l 2338 1438 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2421 1432 m 2392 1403 l 2421 1374 l 2450 1403 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2423 1434 m 2419 1434 l 2390 1405 l 2390 1401 l 2419 1372 l 2421 1371 l 2423 1372 l 2452 1401 l 2452 1405 l CP \r
+2448 1401 m 2448 1405 l 2419 1376 l 2423 1376 l 2394 1405 l 2394 1401 l 2423 1430 l 2419 1430 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2501 1436 m 2472 1407 l 2501 1378 l 2531 1407 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2504 1438 m 2502 1439 l 2499 1438 l 2470 1409 l 2470 1405 l 2499 1375 l 2502 1374 l 2504 1375 l 2533 1405 l 2533 1409 l CP \r
+2529 1405 m 2529 1409 l 2499 1380 l 2504 1380 l 2474 1409 l 2474 1405 l 2504 1434 l 2499 1434 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2582 1440 m 2553 1411 l 2582 1382 l 2611 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2584 1442 m 2582 1443 l 2580 1442 l 2551 1413 l 2551 1409 l 2580 1380 l 2582 1379 l 2584 1380 l 2613 1409 l 2613 1413 l CP \r
+2609 1409 m 2609 1413 l 2580 1384 l 2584 1384 l 2555 1413 l 2555 1409 l 2584 1438 l 2580 1438 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2663 1423 m 2633 1394 l 2663 1365 l 2692 1394 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2665 1425 m 2663 1426 l 2660 1425 l 2631 1396 l 2631 1392 l 2660 1363 l 2663 1362 l 2665 1363 l 2694 1392 l 2694 1396 l CP \r
+2690 1392 m 2690 1396 l 2660 1367 l 2665 1367 l 2635 1396 l 2635 1392 l 2665 1421 l 2660 1421 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2743 1423 m 2714 1394 l 2743 1365 l 2772 1394 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2745 1425 m 2743 1426 l 2741 1425 l 2712 1396 l 2711 1394 l 2712 1392 l 2741 1363 l 2743 1362 l 2745 1363 l 2774 1392 l 2774 1396 l CP \r
+2770 1392 m 2770 1396 l 2741 1367 l 2745 1367 l 2716 1396 l 2716 1392 l 2745 1421 l 2741 1421 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2824 1429 m 2794 1400 l 2824 1371 l 2853 1400 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2826 1431 m 2824 1432 l 2821 1431 l 2792 1402 l 2791 1400 l 2792 1398 l 2821 1369 l 2824 1368 l 2826 1369 l 2855 1398 l 2856 1400 l 2855 1402 l CP \r
+2851 1398 m 2851 1402 l 2821 1373 l 2826 1373 l 2797 1402 l 2797 1398 l 2826 1427 l 2821 1427 l CP \r
+fill\r
+GSE\r
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+0.3098 0.5058 0.7411 SC\r
+NP 2904 1362 m 2875 1333 l 2904 1304 l 2933 1333 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2906 1364 m 2904 1365 l 2902 1364 l 2873 1335 l 2872 1333 l 2873 1331 l 2902 1302 l 2906 1302 l 2935 1331 l 2936 1333 l 2935 1335 l CP \r
+2931 1331 m 2931 1335 l 2902 1306 l 2906 1306 l 2877 1335 l 2877 1331 l 2906 1360 l 2902 1360 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2985 1399 m 2955 1369 l 2985 1340 l 3014 1369 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2987 1401 m 2985 1402 l 2982 1401 l 2953 1371 l 2952 1369 l 2953 1367 l 2982 1338 l 2985 1337 l 2987 1338 l 3016 1367 l 3017 1369 l 3016 1371 l CP \r
+3012 1367 m 3012 1371 l 2982 1342 l 2987 1342 l 2958 1371 l 2958 1367 l 2987 1396 l 2982 1396 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3065 1282 m 3036 1253 l 3065 1224 l 3094 1253 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3067 1285 m 3063 1285 l 3034 1255 l 3033 1253 l 3034 1251 l 3063 1222 l 3065 1221 l 3067 1222 l 3096 1251 l 3097 1253 l 3096 1255 l CP \r
+3092 1251 m 3092 1255 l 3063 1226 l 3067 1226 l 3038 1255 l 3038 1251 l 3067 1280 l 3063 1280 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3146 1417 m 3116 1388 l 3146 1359 l 3175 1388 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3148 1420 m 3146 1421 l 3144 1420 l 3114 1390 l 3113 1388 l 3114 1386 l 3144 1357 l 3146 1356 l 3148 1357 l 3177 1386 l 3178 1388 l 3177 1390 l CP \r
+3173 1386 m 3173 1390 l 3144 1361 l 3148 1361 l 3119 1390 l 3119 1386 l 3148 1415 l 3144 1415 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3226 1440 m 3197 1411 l 3226 1382 l 3255 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3228 1442 m 3226 1443 l 3224 1442 l 3195 1413 l 3194 1411 l 3195 1409 l 3224 1380 l 3226 1379 l 3228 1380 l 3257 1409 l 3258 1411 l 3257 1413 l CP \r
+3253 1409 m 3253 1413 l 3224 1384 l 3228 1384 l 3199 1413 l 3199 1409 l 3228 1438 l 3224 1438 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3307 1279 m 3277 1250 l 3307 1221 l 3336 1250 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3309 1281 m 3305 1281 l 3275 1252 l 3274 1250 l 3275 1248 l 3305 1218 l 3309 1218 l 3338 1248 l 3339 1250 l 3338 1252 l CP \r
+3334 1248 m 3334 1252 l 3305 1223 l 3309 1223 l 3280 1252 l 3280 1248 l 3309 1277 l 3305 1277 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3387 1440 m 3358 1411 l 3387 1382 l 3416 1411 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3389 1442 m 3387 1443 l 3385 1442 l 3356 1413 l 3355 1411 l 3356 1409 l 3385 1380 l 3387 1379 l 3389 1380 l 3418 1409 l 3419 1411 l 3418 1413 l CP \r
+3414 1409 m 3414 1413 l 3385 1384 l 3389 1384 l 3360 1413 l 3360 1409 l 3389 1438 l 3385 1438 l CP \r
+fill\r
+GSE\r
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+0.3098 0.5058 0.7411 SC\r
+NP 3468 1440 m 3439 1411 l 3468 1382 l 3497 1411 l eofill\r
+GSE\r
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+0.2901 0.4941 0.7333 SC\r
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+NP 3548 1440 m 3519 1411 l 3548 1382 l 3577 1411 l eofill\r
+GSE\r
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+0.2901 0.4941 0.7333 SC\r
+NP 3550 1442 m 3548 1443 l 3546 1442 l 3517 1413 l 3517 1409 l 3546 1380 l 3548 1379 l 3550 1380 l 3579 1409 l 3580 1411 l 3579 1413 l CP \r
+3575 1409 m 3575 1413 l 3546 1384 l 3550 1384 l 3521 1413 l 3521 1409 l 3550 1438 l 3546 1438 l CP \r
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+3656 1409 m 3656 1413 l 3627 1384 l 3631 1384 l 3602 1413 l 3602 1409 l 3631 1438 l 3627 1438 l CP \r
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+3817 1409 m 3817 1413 l 3788 1384 l 3792 1384 l 3763 1413 l 3763 1409 l 3792 1438 l 3788 1438 l CP \r
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+3897 1409 m 3897 1413 l 3868 1384 l 3872 1384 l 3843 1413 l 3843 1409 l 3872 1438 l 3868 1438 l CP \r
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+2f123933ed3232111201392f2b2b2b33e12b2b2b2b2b2b321133cd2b2b2b\r
+2b3231305d2b005d015d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d5d011406\r
+232311140e0223222e02351121222e0235343e0237013e0333321e021511\r
+3332160123012103d31412920814201918201307fdea0c100d0502060a07\r
+01d205131e2c1e21311e10921115fea102fe5b01a701702126fef0080b08\r
+0404080b08011006101e18131e19170d0312080c080305080d09fcc62302\r
+e9fd3a00>/TT15Ct00 AddT42Char \r
+/TT15Ct00 findfont /CharStrings get begin\r
+/g1008 1008 def\r
+end\r
+/TT15Ct00 findfont /Encoding get\r
+dup 6 /g1008 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g1008 <0034> def\r
+G2UEnd\r
+605 889 M <06020202>[42 42 42  0]xS \r
+254 VM?\r
+10 11252 1009 <00010065ffed0396050e003e00c1400d27370127360126080126030140b8\r
+ffc0b60f024d60400137b8ffe8b310014d37b8fff0b40b0d014c37ba0211\r
+0028ffc0402810014d28400f014d280e4f326f327f3203321d1810014d1d\r
+100f014d1d100c0d014c1d200b014d1dba02330000ffe8b30f024d00b8ff\r
+c0b50f014d004013b8ffc0b70f10014c13131836b8012c400c2c3af42022\r
+012222052c5118b8010bb10556003fed3f12392f5ded10ed11392f2b0110\r
+d62b2be12b2b2b2bc45dd4d42b2be12b2b31305d2b005d5d015d5d01140e\r
+0223222e0635343e0233321e0233323e0235342e02232206232226351134\r
+363321321e02151406232111363633321e0203964680b16c3c6c54360f06\r
+050203080b070a2a4769484370512e27517c563d58261c181f1d023d080f\r
+0a051412fe1d2349306fa66f3901a068a26f3a1119180e0c111a12111b11\r
+08191d1a2044674a3e5f3f1f0c1a25020f212009121c132428fe95050235\r
+618a>/TT15Ct00 AddT42Char \r
+/TT15Ct00 findfont /CharStrings get begin\r
+/g1009 1009 def\r
+end\r
+/TT15Ct00 findfont /Encoding get\r
+dup 7 /g1009 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g1009 <0035> def\r
+G2UEnd\r
+605 753 M <07020202>[42 42 42  0]xS \r
+254 VM?\r
+10 2434 970 <0002006bffed03bd0520003400480099b9004affc040170f024d604a012b\r
+753f01663f01433f01343f01243f013fb8024340140c1c1c0c7a35016a35\r
+014b35013a35012b350135b80243b670000120000100b8ffe0b30f014d00\r
+b8ffe8b70f024d00300c010cb8fffa400a0f024d0c3aff30300526b80100\r
+b2135944b80115b1055f003fed3fed12392fed012f2b5dd42b2b5d5de15d\r
+5d5d5d5d12392f10e15d5d5d5d5d3231305d2b01140e0223222e0435343e\r
+0433321e0615140e0223222e0223220e02073e0333321e0207342e022322\r
+0e0207141e0233323e0203bd346ca671517c5c3d2510122e4f77a66e254c\r
+402c0e07040201070b090b26364d335d865529031a414d563169905926ae\r
+17365a42254a453f1a213f5e3f405e3e1d01a3559f7949284a6c8aa45e53\r
+aa9e8b673c090f120b0d0f130e121a10080e110e4c80a95c0f1e180f3965\r
+89603a5f42240d171f1281ae692d30516500>/TT15Ct00 AddT42Char \r
+10 11614 1010 <ffff006bffed03bd0520020603ca0000>/TT15Ct00 AddT42Char \r
+/TT15Ct00 findfont /CharStrings get begin\r
+/g1010 1010 def\r
+/g970 970 def\r
+end\r
+/TT15Ct00 findfont /Encoding get\r
+dup 8 /g1010 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g1010 <0036> def\r
+G2UEnd\r
+605 616 M <08020202>[42 42 42  0]xS \r
+30000 VM?\r
+Pscript_WinNT_Compat begin /$x mysetup def end\r
+Pscript_WinNT_Incr dup /suspend get exec\r
+Pscript_WinNT_Compat dup /initialize get exec\r
+%%BeginDocument: Pscript_Win_PassThrough\r
+GpPBeg1\r
+NP 891 1453 m 890 1454 l 720 1624 l 720 1626 l 721 1626 l 792 1697 l 792 1696 l 962 1526 l 963 1524 l 892 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 834 1618 m 834 1618 834 1619 835 1619 c 835 1619 835 1620 835 1620 c 835 1620 835 1620 835 1621 c 835 1621 835 1621 835 1621 c 818 1638 l 818 1638 817 1638 817 1638 c 816 1638 815 1638 815 1637 c 780 1603 l 780 1603 780 1603 780 1603 c 780 1602 780 1602 780 1602 c 780 1602 780 1601 781 1601 c 781 1601 781 1600 782 1600 c 782 1599 783 1599 783 1599 c 783 1598 784 1598 784 1598 c 784 1598 785 1598 785 1598 c 785 1598 785 1598 785 1598 c 817 1630 l 831 1617 l 831 1617 831 1617 831 1617 c 831 1617 832 1617 832 1617 c 832 1617 832 1617 833 1617 c 833 1617 833 1618 834 1618 c CP \r
+826 1560 m 826 1561 827 1561 827 1561 c 827 1561 827 1562 827 1562 c 827 1562 827 1563 827 1563 c 827 1563 827 1563 827 1563 c 813 1577 l 826 1589 l 839 1577 l 839 1576 839 1576 839 1576 c 840 1576 840 1576 840 1576 c 840 1576 841 1576 841 1577 c 841 1577 841 1577 842 1578 c 842 1578 843 1578 843 1579 c 843 1579 843 1579 843 1579 c 843 1580 843 1580 843 1580 c 843 1580 843 1581 843 1581 c 830 1594 l 846 1609 l 846 1609 846 1609 846 1609 c 846 1610 846 1610 846 1610 c 846 1610 845 1611 845 1611 c 845 1611 845 1612 844 1612 c 844 1613 843 1613 843 1613 c 842 1614 842 1614 842 1614 c 842 1614 841 1614 841 1614 c 841 1614 841 1614 841 1614 c 806 1580 l 806 1579 805 1578 805 1577 c 805 1577 806 1576 806 1576 c 823 1559 l 823 1559 823 1559 823 1559 c 824 1559 824 1559 824 1559 c 824 1559 825 1559 825 1559 c 825 1560 826 1560 826 1560 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 891 1453 m 890 1454 l 720 1624 l 720 1626 l 721 1626 l 792 1697 l 792 1696 l 962 1526 l 963 1524 l 892 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 865 1562 m 866 1563 866 1564 866 1564 c 866 1564 866 1565 866 1565 c 854 1577 l 854 1578 853 1578 853 1578 c 852 1577 852 1577 851 1576 c 850 1576 850 1575 850 1574 c 849 1574 850 1574 850 1573 c 862 1561 l 862 1561 862 1561 862 1561 c 863 1561 863 1561 863 1561 c 863 1561 864 1561 864 1561 c 864 1562 864 1562 865 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 891 1453 m 890 1454 l 720 1624 l 720 1626 l 721 1626 l 792 1697 l 792 1696 l 962 1526 l 963 1524 l 892 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 905 1546 m 906 1547 906 1547 906 1547 c 906 1548 907 1548 907 1548 c 907 1549 907 1549 907 1549 c 907 1549 907 1549 906 1550 c 886 1570 l 886 1570 885 1571 885 1571 c 885 1571 885 1571 884 1571 c 884 1571 884 1571 883 1571 c 883 1570 883 1570 882 1570 c 882 1569 881 1569 881 1569 c 881 1568 881 1568 881 1568 c 880 1567 880 1567 880 1567 c 880 1566 880 1566 880 1565 c 880 1550 l 880 1547 880 1544 879 1541 c 879 1539 879 1537 878 1535 c 877 1534 877 1532 876 1531 c 875 1530 874 1529 874 1528 c 873 1527 872 1527 871 1526 c 870 1526 869 1525 868 1525 c 867 1525 866 1526 864 1526 c 863 1527 862 1527 861 1528 c 860 1530 859 1531 858 1532 c 858 1533 857 1534 857 1536 c 857 1537 856 1538 856 1538 c 856 1539 856 1540 856 1540 c 856 1540 855 1540 855 1540 c 855 1540 855 1540 855 1540 c 854 1540 854 1540 854 1540 c 853 1539 853 1539 853 1539 c 852 1538 852 1538 852 1538 c 852 1538 852 1537 851 1537 c 851 1537 851 1537 851 1537 c 851 1536 851 1536 851 1536 c 851 1535 851 1535 852 1534 c 852 1533 852 1532 853 1531 c 853 1529 854 1528 855 1527 c 855 1526 856 1524 857 1523 c 859 1522 861 1520 863 1519 c 865 1519 867 1518 868 1518 c 870 1518 872 1518 873 1519 c 875 1520 876 1521 878 1522 c 879 1523 880 1525 881 1526 c 882 1527 883 1529 884 1531 c 884 1533 885 1536 885 1539 c 886 1542 886 1545 886 1550 c 886 1562 l 902 1545 l 902 1545 903 1545 903 1545 c 903 1545 903 1545 904 1545 c 904 1545 904 1545 904 1546 c 905 1546 905 1546 905 1546 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1052 1453 m 1051 1454 l 881 1624 l 881 1626 l 882 1626 l 953 1697 l 953 1696 l 1123 1526 l 1124 1524 l 1053 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 995 1618 m 995 1618 995 1619 996 1619 c 996 1619 996 1620 996 1620 c 996 1620 996 1620 996 1621 c 996 1621 996 1621 996 1621 c 980 1638 l 979 1638 979 1638 978 1638 c 977 1638 976 1638 976 1637 c 941 1603 l 941 1603 941 1603 941 1603 c 941 1602 941 1602 941 1602 c 941 1602 942 1601 942 1601 c 942 1601 942 1600 943 1600 c 943 1599 944 1599 944 1599 c 945 1598 945 1598 945 1598 c 945 1598 946 1598 946 1598 c 946 1598 946 1598 946 1598 c 978 1630 l 992 1617 l 992 1617 992 1617 992 1617 c 992 1617 993 1617 993 1617 c 993 1617 993 1617 994 1617 c 994 1617 994 1618 995 1618 c CP \r
+987 1560 m 987 1561 988 1561 988 1561 c 988 1561 988 1562 988 1562 c 988 1562 988 1563 988 1563 c 988 1563 988 1563 988 1563 c 974 1577 l 987 1589 l 1000 1577 l 1000 1576 1000 1576 1000 1576 c 1001 1576 1001 1576 1001 1576 c 1001 1576 1002 1576 1002 1577 c 1002 1577 1003 1577 1003 1578 c 1003 1578 1004 1578 1004 1579 c 1004 1579 1004 1579 1004 1579 c 1004 1580 1004 1580 1004 1580 c 1004 1580 1004 1581 1004 1581 c 991 1594 l 1007 1609 l 1007 1609 1007 1609 1007 1609 c 1007 1610 1007 1610 1007 1610 c 1007 1610 1006 1611 1006 1611 c 1006 1611 1006 1612 1005 1612 c 1005 1613 1004 1613 1004 1613 c 1003 1614 1003 1614 1003 1614 c 1003 1614 1002 1614 1002 1614 c 1002 1614 1002 1614 1002 1614 c 967 1580 l 967 1579 966 1578 966 1577 c 966 1577 967 1576 967 1576 c 984 1559 l 984 1559 984 1559 984 1559 c 985 1559 985 1559 985 1559 c 985 1559 986 1559 986 1559 c 986 1560 987 1560 987 1560 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1052 1453 m 1051 1454 l 881 1624 l 881 1626 l 882 1626 l 953 1697 l 953 1696 l 1123 1526 l 1124 1524 l 1053 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 1026 1562 m 1027 1563 1027 1564 1027 1564 c 1027 1564 1027 1565 1027 1565 c 1015 1577 l 1015 1578 1014 1578 1014 1578 c 1013 1577 1013 1577 1012 1576 c 1011 1576 1011 1575 1011 1574 c 1011 1574 1011 1574 1011 1573 c 1023 1561 l 1023 1561 1023 1561 1023 1561 c 1024 1561 1024 1561 1024 1561 c 1024 1561 1025 1561 1025 1561 c 1025 1562 1026 1562 1026 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1052 1453 m 1051 1454 l 881 1624 l 881 1626 l 882 1626 l 953 1697 l 953 1696 l 1123 1526 l 1124 1524 l 1053 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 1058 1538 m 1059 1540 1061 1542 1061 1544 c 1062 1546 1062 1548 1062 1550 c 1062 1552 1062 1554 1060 1556 c 1059 1558 1058 1560 1056 1562 c 1055 1564 1053 1565 1052 1566 c 1051 1566 1050 1567 1048 1568 c 1047 1568 1046 1569 1045 1569 c 1045 1569 1044 1569 1044 1569 c 1043 1569 1043 1569 1043 1569 c 1043 1569 1043 1569 1042 1569 c 1042 1569 1042 1569 1041 1568 c 1041 1568 1041 1568 1040 1567 c 1040 1567 1039 1566 1039 1566 c 1039 1565 1039 1565 1039 1565 c 1040 1565 1040 1564 1041 1564 c 1042 1564 1043 1564 1044 1563 c 1045 1563 1046 1562 1048 1561 c 1049 1561 1050 1560 1052 1558 c 1053 1557 1054 1556 1055 1554 c 1055 1553 1056 1552 1056 1550 c 1056 1549 1056 1548 1055 1547 c 1055 1546 1054 1545 1053 1544 c 1052 1543 1051 1542 1050 1542 c 1048 1541 1047 1541 1046 1541 c 1044 1541 1043 1542 1041 1543 c 1040 1544 1038 1545 1037 1546 c 1033 1550 l 1033 1550 1033 1550 1032 1550 c 1032 1550 1032 1551 1032 1550 c 1031 1550 1031 1550 1031 1550 c 1030 1550 1030 1550 1030 1549 c 1029 1549 1029 1549 1029 1548 c 1029 1548 1029 1548 1029 1547 c 1029 1547 1029 1547 1029 1547 c 1029 1547 1029 1546 1029 1546 c 1032 1543 l 1033 1542 1034 1540 1035 1539 c 1036 1538 1036 1536 1036 1535 c 1036 1534 1036 1533 1036 1531 c 1035 1530 1034 1529 1033 1528 c 1033 1527 1032 1527 1031 1526 c 1030 1526 1029 1525 1028 1525 c 1027 1525 1026 1526 1025 1526 c 1024 1527 1023 1527 1022 1528 c 1021 1529 1020 1531 1019 1532 c 1018 1533 1018 1534 1018 1535 c 1017 1537 1017 1538 1017 1538 c 1017 1539 1017 1540 1016 1540 c 1016 1540 1016 1540 1016 1540 c 1016 1540 1016 1540 1015 1540 c 1015 1540 1015 1540 1015 1540 c 1014 1539 1014 1539 1014 1539 c 1013 1538 1013 1538 1013 1538 c 1013 1538 1013 1537 1012 1537 c 1012 1537 1012 1537 1012 1537 c 1012 1536 1012 1536 1012 1536 c 1012 1535 1012 1535 1012 1534 c 1013 1533 1013 1532 1014 1531 c 1014 1530 1015 1528 1015 1527 c 1016 1526 1017 1525 1019 1523 c 1020 1522 1022 1520 1024 1519 c 1025 1519 1027 1518 1029 1518 c 1031 1518 1032 1518 1034 1519 c 1035 1520 1037 1521 1038 1522 c 1039 1523 1040 1524 1041 1526 c 1042 1527 1042 1528 1042 1530 c 1042 1531 1042 1533 1042 1534 c 1042 1535 1041 1537 1040 1538 c 1040 1538 l 1042 1537 1043 1536 1045 1536 c 1046 1535 1048 1535 1049 1535 c 1051 1535 1052 1535 1054 1536 c 1055 1536 1056 1537 1058 1538 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1213 1453 m 1212 1454 l 1042 1624 l 1042 1626 l 1043 1626 l 1114 1697 l 1114 1696 l 1284 1526 l 1285 1524 l 1214 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 1156 1618 m 1156 1618 1157 1619 1157 1619 c 1157 1619 1157 1620 1157 1620 c 1157 1620 1157 1620 1157 1621 c 1157 1621 1157 1621 1157 1621 c 1141 1638 l 1140 1638 1140 1638 1139 1638 c 1138 1638 1137 1638 1137 1637 c 1102 1603 l 1102 1603 1102 1603 1102 1603 c 1102 1602 1102 1602 1102 1602 c 1102 1602 1103 1601 1103 1601 c 1103 1601 1104 1600 1104 1600 c 1104 1599 1105 1599 1105 1599 c 1106 1598 1106 1598 1106 1598 c 1106 1598 1107 1598 1107 1598 c 1107 1598 1107 1598 1107 1598 c 1139 1630 l 1153 1617 l 1153 1617 1153 1617 1153 1617 c 1153 1617 1154 1617 1154 1617 c 1154 1617 1155 1617 1155 1617 c 1155 1617 1155 1618 1156 1618 c CP \r
+1148 1560 m 1148 1561 1149 1561 1149 1561 c 1149 1561 1149 1562 1149 1562 c 1149 1562 1149 1563 1149 1563 c 1149 1563 1149 1563 1149 1563 c 1136 1577 l 1148 1589 l 1161 1577 l 1161 1576 1161 1576 1161 1576 c 1162 1576 1162 1576 1162 1576 c 1162 1576 1163 1576 1163 1577 c 1163 1577 1164 1577 1164 1578 c 1164 1578 1165 1578 1165 1579 c 1165 1579 1165 1579 1165 1579 c 1165 1580 1165 1580 1165 1580 c 1165 1580 1165 1581 1165 1581 c 1152 1594 l 1168 1609 l 1168 1609 1168 1609 1168 1609 c 1168 1610 1168 1610 1168 1610 c 1168 1610 1168 1611 1167 1611 c 1167 1611 1167 1612 1166 1612 c 1166 1613 1165 1613 1165 1613 c 1165 1614 1164 1614 1164 1614 c 1164 1614 1163 1614 1163 1614 c 1163 1614 1163 1614 1163 1614 c 1128 1580 l 1128 1579 1127 1578 1127 1577 c 1128 1577 1128 1576 1128 1576 c 1145 1559 l 1145 1559 1145 1559 1145 1559 c 1146 1559 1146 1559 1146 1559 c 1146 1559 1147 1559 1147 1559 c 1147 1560 1148 1560 1148 1560 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1213 1453 m 1212 1454 l 1042 1624 l 1042 1626 l 1043 1626 l 1114 1697 l 1114 1696 l 1284 1526 l 1285 1524 l 1214 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 1187 1562 m 1188 1563 1188 1564 1188 1564 c 1188 1564 1188 1565 1188 1565 c 1176 1577 l 1176 1578 1175 1578 1175 1578 c 1174 1577 1174 1577 1173 1576 c 1172 1576 1172 1575 1172 1574 c 1172 1574 1172 1574 1172 1573 c 1184 1561 l 1184 1561 1184 1561 1185 1561 c 1185 1561 1185 1561 1185 1561 c 1185 1561 1186 1561 1186 1561 c 1186 1562 1187 1562 1187 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1213 1453 m 1212 1454 l 1042 1624 l 1042 1626 l 1043 1626 l 1114 1697 l 1114 1696 l 1284 1526 l 1285 1524 l 1214 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 1219 1536 m 1220 1537 1221 1539 1223 1541 c 1224 1543 1224 1545 1224 1547 c 1224 1550 1224 1552 1223 1554 c 1222 1556 1221 1559 1219 1561 c 1217 1562 1215 1563 1214 1564 c 1212 1565 1211 1566 1209 1566 c 1208 1566 1206 1566 1204 1565 c 1203 1565 1201 1564 1199 1563 c 1198 1562 1196 1561 1194 1560 c 1193 1558 1191 1557 1189 1555 c 1187 1553 1186 1552 1184 1550 c 1183 1548 1182 1546 1181 1544 c 1180 1542 1179 1540 1178 1538 c 1178 1536 1177 1534 1178 1532 c 1178 1530 1178 1527 1179 1525 c 1180 1523 1182 1521 1184 1519 c 1185 1518 1185 1518 1186 1517 c 1187 1516 1188 1516 1189 1515 c 1189 1515 1190 1514 1191 1514 c 1191 1514 1192 1514 1192 1514 c 1192 1514 1192 1514 1193 1514 c 1193 1514 1193 1514 1193 1514 c 1193 1514 1193 1514 1194 1514 c 1194 1515 1194 1515 1194 1515 c 1195 1515 1195 1516 1195 1516 c 1195 1516 1196 1516 1196 1517 c 1196 1517 1196 1517 1196 1517 c 1196 1518 1196 1518 1196 1518 c 1195 1518 1195 1518 1194 1519 c 1194 1519 1193 1519 1193 1519 c 1192 1520 1191 1520 1190 1521 c 1190 1521 1189 1522 1188 1523 c 1186 1525 1185 1527 1184 1529 c 1184 1531 1183 1533 1184 1535 c 1184 1537 1185 1539 1186 1541 c 1188 1543 1189 1545 1191 1547 c 1191 1546 1191 1545 1192 1544 c 1192 1543 1192 1542 1193 1541 c 1193 1540 1194 1539 1195 1538 c 1195 1538 1196 1537 1197 1536 c 1199 1534 1201 1532 1203 1531 c 1205 1531 1207 1530 1209 1530 c 1210 1530 1212 1531 1214 1532 c 1215 1533 1217 1534 1219 1536 c CP \r
+1214 1541 m 1213 1540 1212 1539 1211 1538 c 1210 1538 1208 1537 1207 1537 c 1206 1537 1205 1537 1204 1538 c 1203 1538 1201 1539 1200 1540 c 1199 1541 1199 1542 1198 1543 c 1198 1544 1197 1544 1197 1545 c 1196 1546 1196 1547 1195 1548 c 1195 1549 1195 1550 1195 1551 c 1197 1553 1199 1555 1201 1556 c 1203 1558 1205 1558 1207 1559 c 1208 1559 1210 1559 1211 1559 c 1213 1558 1214 1557 1215 1556 c 1216 1555 1217 1554 1217 1552 c 1218 1551 1218 1550 1218 1548 c 1218 1547 1217 1546 1217 1544 c 1216 1543 1215 1542 1214 1541 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1374 1453 m 1373 1454 l 1203 1624 l 1203 1626 l 1204 1626 l 1275 1697 l 1275 1696 l 1445 1526 l 1446 1524 l 1375 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 1317 1618 m 1317 1618 1318 1619 1318 1619 c 1318 1619 1318 1620 1318 1620 c 1318 1620 1318 1620 1318 1621 c 1318 1621 1318 1621 1318 1621 c 1302 1638 l 1301 1638 1301 1638 1300 1638 c 1299 1638 1299 1638 1298 1637 c 1263 1603 l 1263 1603 1263 1603 1263 1603 c 1263 1602 1263 1602 1263 1602 c 1263 1602 1264 1601 1264 1601 c 1264 1601 1265 1600 1265 1600 c 1265 1599 1266 1599 1266 1599 c 1267 1598 1267 1598 1267 1598 c 1267 1598 1268 1598 1268 1598 c 1268 1598 1268 1598 1268 1598 c 1300 1630 l 1314 1617 l 1314 1617 1314 1617 1314 1617 c 1315 1617 1315 1617 1315 1617 c 1315 1617 1316 1617 1316 1617 c 1316 1617 1317 1618 1317 1618 c CP \r
+1309 1560 m 1309 1561 1310 1561 1310 1561 c 1310 1561 1310 1562 1310 1562 c 1310 1562 1310 1563 1310 1563 c 1310 1563 1310 1563 1310 1563 c 1297 1577 l 1309 1589 l 1322 1577 l 1322 1576 1322 1576 1323 1576 c 1323 1576 1323 1576 1323 1576 c 1323 1576 1324 1576 1324 1577 c 1324 1577 1325 1577 1325 1578 c 1325 1578 1326 1578 1326 1579 c 1326 1579 1326 1579 1326 1579 c 1326 1580 1326 1580 1326 1580 c 1326 1580 1326 1581 1326 1581 c 1313 1594 l 1329 1609 l 1329 1609 1329 1609 1329 1609 c 1329 1610 1329 1610 1329 1610 c 1329 1610 1329 1611 1328 1611 c 1328 1611 1328 1612 1327 1612 c 1327 1613 1326 1613 1326 1613 c 1326 1614 1325 1614 1325 1614 c 1325 1614 1325 1614 1324 1614 c 1324 1614 1324 1614 1324 1614 c 1289 1580 l 1289 1579 1288 1578 1289 1577 c 1289 1577 1289 1576 1289 1576 c 1306 1559 l 1306 1559 1306 1559 1306 1559 c 1307 1559 1307 1559 1307 1559 c 1307 1559 1308 1559 1308 1559 c 1308 1560 1309 1560 1309 1560 c CP \r
+fill\r
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+0 0 0 SC\r
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+1993 1524 m 1993 1524 l 2002 1557 l 2013 1545 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2179 1453 m 2178 1454 l 1981 1651 l 1981 1653 l 1982 1653 l 2052 1723 l 2054 1724 l 2054 1723 l 2252 1525 l 2180 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2118 1625 m 2118 1626 2118 1626 2118 1626 c 2118 1626 2118 1626 2118 1627 c 2118 1627 2117 1627 2117 1627 c 2117 1628 2117 1628 2116 1629 c 2116 1629 2115 1630 2115 1630 c 2114 1630 2114 1630 2114 1630 c 2114 1631 2113 1631 2113 1631 c 2113 1631 2113 1630 2113 1630 c 2080 1598 l 2080 1598 l 2100 1644 l 2100 1644 2100 1644 2100 1644 c 2100 1644 2100 1645 2100 1645 c 2099 1645 2099 1645 2099 1646 c 2099 1646 2098 1646 2098 1647 c 2098 1647 2097 1647 2097 1648 c 2097 1648 2096 1648 2096 1648 c 2096 1648 2096 1648 2095 1648 c 2095 1648 2095 1648 2095 1648 c 2050 1628 l 2050 1628 l 2082 1661 l 2082 1661 2082 1661 2082 1661 c 2083 1661 2082 1662 2082 1662 c 2082 1662 2082 1663 2082 1663 c 2081 1663 2081 1664 2081 1664 c 2080 1665 2080 1665 2079 1665 c 2079 1666 2079 1666 2078 1666 c 2078 1666 2078 1666 2078 1666 c 2078 1666 2077 1666 2077 1666 c 2043 1632 l 2042 1631 2042 1630 2042 1629 c 2042 1628 2042 1628 2043 1627 c 2046 1624 l 2047 1624 2047 1623 2048 1623 c 2048 1622 2049 1622 2050 1622 c 2050 1622 2051 1622 2051 1622 c 2052 1622 2053 1623 2053 1623 c 2091 1639 l 2091 1639 l 2075 1601 l 2075 1600 2075 1600 2074 1599 c 2074 1598 2074 1598 2074 1597 c 2074 1597 2075 1596 2075 1596 c 2075 1595 2075 1595 2076 1594 c 2079 1591 l 2079 1591 2080 1591 2080 1590 c 2080 1590 2081 1590 2081 1590 c 2082 1590 2082 1590 2082 1590 c 2083 1591 2083 1591 2084 1591 c CP \r
+2117 1558 m 2117 1558 2117 1559 2117 1559 c 2118 1559 2118 1560 2118 1560 c 2118 1560 2118 1560 2118 1561 c 2118 1561 2118 1561 2118 1561 c 2107 1571 l 2139 1604 l 2139 1604 2140 1604 2140 1604 c 2140 1604 2140 1605 2139 1605 c 2139 1605 2139 1605 2139 1606 c 2139 1606 2138 1607 2138 1607 c 2137 1607 2137 1608 2137 1608 c 2136 1608 2136 1609 2136 1609 c 2135 1609 2135 1609 2135 1609 c 2135 1609 2135 1609 2134 1609 c 2102 1576 l 2092 1587 l 2092 1587 2091 1587 2091 1587 c 2091 1587 2091 1587 2091 1587 c 2090 1587 2090 1587 2090 1587 c 2089 1586 2089 1586 2089 1586 c 2088 1585 2088 1585 2088 1585 c 2088 1584 2087 1584 2087 1584 c 2087 1584 2087 1583 2087 1583 c 2087 1583 2087 1583 2088 1583 c 2113 1557 l 2114 1557 2114 1557 2114 1557 c 2114 1557 2114 1557 2115 1557 c 2115 1557 2115 1557 2115 1557 c 2116 1557 2116 1558 2117 1558 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2179 1453 m 2178 1454 l 1981 1651 l 1981 1653 l 1982 1653 l 2052 1723 l 2054 1724 l 2054 1723 l 2252 1525 l 2180 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2153 1562 m 2154 1563 2154 1564 2154 1564 c 2155 1565 2154 1565 2154 1565 c 2142 1577 l 2142 1578 2141 1578 2141 1578 c 2140 1578 2140 1577 2139 1576 c 2138 1576 2138 1575 2138 1575 c 2138 1574 2138 1574 2138 1573 c 2150 1561 l 2150 1561 2150 1561 2151 1561 c 2151 1561 2151 1561 2151 1561 c 2152 1561 2152 1561 2152 1562 c 2152 1562 2153 1562 2153 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2179 1453 m 2178 1454 l 1981 1651 l 1981 1653 l 1982 1653 l 2052 1723 l 2054 1724 l 2054 1723 l 2252 1525 l 2180 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2185 1536 m 2186 1537 2188 1539 2189 1541 c 2190 1543 2190 1545 2190 1548 c 2191 1550 2190 1552 2189 1554 c 2188 1557 2187 1559 2185 1561 c 2183 1562 2182 1564 2180 1564 c 2178 1565 2177 1566 2175 1566 c 2174 1566 2172 1566 2170 1565 c 2169 1565 2167 1564 2166 1563 c 2164 1562 2162 1561 2160 1560 c 2159 1558 2157 1557 2155 1555 c 2154 1553 2152 1552 2151 1550 c 2149 1548 2148 1546 2147 1544 c 2146 1542 2145 1540 2144 1538 c 2144 1536 2144 1534 2144 1532 c 2144 1530 2144 1528 2145 1526 c 2146 1523 2148 1521 2150 1519 c 2151 1518 2152 1518 2152 1517 c 2153 1516 2154 1516 2155 1515 c 2156 1515 2156 1515 2157 1514 c 2157 1514 2158 1514 2158 1514 c 2158 1514 2159 1514 2159 1514 c 2159 1514 2159 1514 2159 1514 c 2159 1514 2160 1514 2160 1515 c 2160 1515 2160 1515 2161 1515 c 2161 1516 2161 1516 2161 1516 c 2162 1516 2162 1517 2162 1517 c 2162 1517 2162 1517 2162 1517 c 2162 1518 2162 1518 2162 1518 c 2161 1518 2161 1518 2161 1519 c 2160 1519 2160 1519 2159 1520 c 2158 1520 2157 1520 2157 1521 c 2156 1522 2155 1522 2154 1523 c 2152 1525 2151 1527 2150 1529 c 2150 1531 2150 1533 2150 1535 c 2150 1537 2151 1539 2153 1541 c 2154 1543 2155 1545 2157 1547 c 2157 1546 2157 1545 2158 1544 c 2158 1543 2158 1543 2159 1542 c 2159 1541 2160 1540 2161 1539 c 2161 1538 2162 1537 2163 1536 c 2165 1534 2167 1532 2169 1532 c 2171 1531 2173 1530 2175 1530 c 2176 1531 2178 1531 2180 1532 c 2182 1533 2183 1534 2185 1536 c CP \r
+2180 1541 m 2179 1540 2178 1539 2177 1539 c 2176 1538 2175 1537 2173 1537 c 2172 1537 2171 1537 2170 1538 c 2169 1538 2167 1539 2166 1541 c 2165 1541 2165 1542 2164 1543 c 2164 1544 2163 1545 2163 1545 c 2162 1546 2162 1547 2162 1548 c 2161 1549 2161 1550 2161 1551 c 2163 1553 2166 1555 2168 1556 c 2170 1558 2171 1559 2173 1559 c 2175 1559 2176 1559 2177 1559 c 2179 1558 2180 1558 2181 1556 c 2182 1555 2183 1554 2184 1553 c 2184 1551 2184 1550 2184 1549 c 2184 1547 2183 1546 2183 1545 c 2182 1543 2181 1542 2180 1541 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2340 1453 m 2339 1454 l 2142 1651 l 2142 1653 l 2143 1653 l 2213 1723 l 2215 1724 l 2215 1723 l 2413 1525 l 2341 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2279 1625 m 2279 1626 2279 1626 2279 1626 c 2279 1626 2279 1626 2279 1627 c 2279 1627 2278 1627 2278 1627 c 2278 1628 2278 1628 2277 1629 c 2277 1629 2276 1630 2276 1630 c 2275 1630 2275 1630 2275 1630 c 2275 1631 2274 1631 2274 1631 c 2274 1631 2274 1630 2274 1630 c 2241 1598 l 2241 1598 l 2261 1644 l 2261 1644 2261 1644 2261 1644 c 2261 1644 2261 1645 2261 1645 c 2261 1645 2260 1645 2260 1646 c 2260 1646 2259 1646 2259 1647 c 2259 1647 2258 1647 2258 1648 c 2258 1648 2257 1648 2257 1648 c 2257 1648 2257 1648 2256 1648 c 2256 1648 2256 1648 2256 1648 c 2211 1628 l 2211 1628 l 2243 1661 l 2243 1661 2244 1661 2244 1661 c 2244 1661 2244 1662 2243 1662 c 2243 1662 2243 1663 2243 1663 c 2243 1663 2242 1664 2242 1664 c 2241 1665 2241 1665 2240 1665 c 2240 1666 2240 1666 2240 1666 c 2239 1666 2239 1666 2239 1666 c 2239 1666 2238 1666 2238 1666 c 2204 1632 l 2203 1631 2203 1630 2203 1629 c 2203 1628 2204 1628 2204 1627 c 2207 1624 l 2208 1624 2208 1623 2209 1623 c 2209 1622 2210 1622 2211 1622 c 2211 1622 2212 1622 2212 1622 c 2213 1622 2214 1623 2214 1623 c 2252 1639 l 2252 1639 l 2236 1601 l 2236 1600 2236 1600 2236 1599 c 2235 1598 2235 1598 2235 1597 c 2235 1597 2236 1596 2236 1596 c 2236 1595 2237 1595 2237 1594 c 2240 1591 l 2240 1591 2241 1591 2241 1590 c 2242 1590 2242 1590 2242 1590 c 2243 1590 2243 1590 2243 1590 c 2244 1591 2244 1591 2245 1591 c CP \r
+2278 1558 m 2278 1558 2278 1559 2278 1559 c 2279 1559 2279 1560 2279 1560 c 2279 1560 2279 1560 2279 1561 c 2279 1561 2279 1561 2279 1561 c 2268 1571 l 2300 1604 l 2301 1604 2301 1604 2301 1604 c 2301 1604 2301 1605 2301 1605 c 2300 1605 2300 1605 2300 1606 c 2300 1606 2299 1607 2299 1607 c 2298 1607 2298 1608 2298 1608 c 2297 1608 2297 1609 2297 1609 c 2296 1609 2296 1609 2296 1609 c 2296 1609 2296 1609 2295 1609 c 2263 1576 l 2253 1587 l 2253 1587 2253 1587 2252 1587 c 2252 1587 2252 1587 2252 1587 c 2251 1587 2251 1587 2251 1587 c 2251 1586 2250 1586 2250 1586 c 2249 1585 2249 1585 2249 1585 c 2249 1584 2249 1584 2248 1584 c 2248 1584 2248 1583 2248 1583 c 2248 1583 2249 1583 2249 1583 c 2274 1557 l 2275 1557 2275 1557 2275 1557 c 2275 1557 2275 1557 2276 1557 c 2276 1557 2276 1557 2277 1557 c 2277 1557 2277 1558 2278 1558 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2340 1453 m 2339 1454 l 2142 1651 l 2142 1653 l 2143 1653 l 2213 1723 l 2215 1724 l 2215 1723 l 2413 1525 l 2341 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2314 1562 m 2315 1563 2315 1564 2315 1564 c 2316 1565 2315 1565 2315 1565 c 2303 1577 l 2303 1578 2302 1578 2302 1578 c 2301 1578 2301 1577 2300 1576 c 2299 1576 2299 1575 2299 1575 c 2299 1574 2299 1574 2299 1573 c 2311 1561 l 2311 1561 2312 1561 2312 1561 c 2312 1561 2312 1561 2312 1561 c 2313 1561 2313 1561 2313 1562 c 2313 1562 2314 1562 2314 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2340 1453 m 2339 1454 l 2142 1651 l 2142 1653 l 2143 1653 l 2213 1723 l 2215 1724 l 2215 1723 l 2413 1525 l 2341 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2348 1538 m 2350 1540 2351 1542 2352 1543 c 2352 1545 2352 1547 2352 1549 c 2352 1551 2351 1553 2350 1555 c 2349 1557 2347 1559 2345 1561 c 2344 1563 2342 1565 2340 1566 c 2338 1567 2336 1568 2334 1568 c 2332 1568 2330 1568 2329 1567 c 2327 1567 2325 1566 2324 1564 c 2323 1563 2322 1562 2321 1560 c 2321 1559 2320 1558 2320 1556 c 2320 1555 2320 1553 2321 1551 c 2321 1549 2322 1547 2322 1546 c 2320 1546 2319 1546 2317 1547 c 2316 1547 2314 1547 2313 1547 c 2312 1547 2310 1546 2309 1546 c 2308 1545 2307 1544 2306 1543 c 2304 1542 2303 1541 2303 1539 c 2302 1537 2302 1536 2302 1534 c 2302 1532 2303 1530 2304 1528 c 2304 1526 2306 1524 2308 1522 c 2310 1521 2312 1519 2313 1518 c 2315 1517 2317 1517 2319 1517 c 2320 1517 2322 1517 2323 1517 c 2325 1518 2326 1519 2327 1520 c 2328 1521 2329 1522 2330 1523 c 2330 1525 2331 1526 2331 1527 c 2331 1529 2331 1530 2331 1532 c 2331 1533 2330 1535 2330 1537 c 2332 1536 2334 1536 2335 1535 c 2337 1535 2339 1535 2340 1535 c 2342 1535 2343 1535 2345 1536 c 2346 1536 2347 1537 2348 1538 c CP \r
+2323 1526 m 2322 1525 2321 1524 2320 1524 c 2319 1523 2318 1523 2317 1523 c 2316 1523 2315 1524 2314 1524 c 2313 1525 2312 1526 2311 1527 c 2309 1529 2308 1531 2308 1533 c 2308 1535 2309 1536 2310 1538 c 2311 1539 2312 1539 2313 1540 c 2314 1540 2315 1540 2316 1540 c 2317 1540 2318 1540 2320 1540 c 2321 1540 2322 1539 2324 1539 c 2325 1536 2326 1533 2325 1531 c 2325 1529 2324 1527 2323 1526 c CP \r
+2344 1544 m 2343 1543 2342 1542 2341 1542 c 2340 1542 2339 1541 2337 1541 c 2336 1541 2335 1542 2333 1542 c 2331 1542 2330 1543 2328 1544 c 2327 1545 2327 1547 2326 1549 c 2326 1550 2326 1551 2326 1553 c 2326 1554 2326 1555 2327 1556 c 2327 1557 2328 1558 2329 1559 c 2330 1561 2332 1561 2335 1561 c 2337 1561 2339 1559 2342 1557 c 2344 1555 2346 1552 2346 1550 c 2346 1548 2345 1546 2344 1544 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2501 1453 m 2500 1454 l 2316 1638 l 2389 1711 l 2389 1710 l 2574 1525 l 2502 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2433 1623 m 2433 1624 2433 1624 2434 1624 c 2434 1624 2434 1625 2434 1625 c 2434 1625 2434 1625 2434 1625 c 2434 1626 2434 1626 2434 1626 c 2434 1627 2434 1627 2434 1628 c 2434 1629 2434 1631 2433 1632 c 2432 1633 2432 1634 2431 1636 c 2430 1637 2429 1639 2427 1640 c 2425 1643 2422 1644 2420 1645 c 2417 1647 2414 1647 2411 1647 c 2408 1647 2405 1646 2402 1644 c 2399 1643 2396 1640 2393 1637 c 2390 1634 2388 1631 2386 1628 c 2384 1625 2384 1622 2383 1618 c 2383 1615 2383 1612 2385 1610 c 2386 1607 2388 1604 2390 1602 c 2391 1600 2392 1600 2393 1599 c 2395 1598 2396 1597 2397 1597 c 2398 1596 2399 1596 2400 1595 c 2401 1595 2402 1595 2403 1595 c 2403 1595 2404 1595 2404 1595 c 2404 1595 2404 1595 2404 1595 c 2405 1596 2405 1596 2405 1596 c 2405 1596 2406 1596 2406 1597 c 2406 1597 2407 1598 2407 1598 c 2407 1598 2407 1598 2408 1599 c 2408 1599 2408 1599 2408 1599 c 2408 1600 2408 1600 2407 1600 c 2407 1600 2407 1600 2406 1600 c 2405 1601 2404 1601 2403 1601 c 2401 1601 2400 1602 2399 1603 c 2397 1603 2396 1604 2394 1606 c 2392 1608 2391 1609 2391 1611 c 2390 1613 2390 1616 2390 1618 c 2390 1620 2391 1622 2393 1625 c 2394 1627 2396 1629 2398 1632 c 2400 1634 2403 1636 2405 1637 c 2407 1639 2410 1639 2412 1640 c 2414 1640 2416 1640 2418 1639 c 2420 1638 2422 1637 2424 1635 c 2425 1634 2426 1632 2427 1631 c 2428 1629 2428 1628 2429 1627 c 2429 1625 2429 1624 2429 1624 c 2429 1623 2430 1622 2430 1622 c 2430 1622 2430 1622 2430 1622 c 2430 1622 2431 1622 2431 1622 c 2431 1622 2431 1622 2432 1622 c 2432 1622 2432 1623 2433 1623 c CP \r
+2470 1593 m 2471 1593 2471 1593 2472 1593 c 2472 1594 2472 1594 2472 1594 c 2472 1594 2472 1595 2472 1595 c 2471 1596 2471 1596 2470 1597 c 2470 1597 2469 1598 2469 1598 c 2468 1598 2468 1599 2468 1599 c 2468 1599 2467 1599 2467 1599 c 2467 1599 2467 1599 2466 1599 c 2454 1593 l 2439 1608 l 2445 1620 l 2445 1620 2445 1621 2445 1621 c 2445 1621 2445 1621 2445 1622 c 2445 1622 2445 1622 2444 1623 c 2444 1623 2444 1623 2443 1624 c 2442 1624 2442 1625 2442 1625 c 2441 1626 2441 1626 2441 1626 c 2440 1626 2440 1626 2440 1625 c 2440 1625 2439 1625 2439 1624 c 2417 1577 l 2417 1577 2417 1577 2417 1576 c 2417 1576 2417 1576 2417 1575 c 2417 1575 2417 1575 2418 1574 c 2418 1574 2419 1574 2419 1573 c 2420 1572 2420 1572 2421 1571 c 2421 1571 2421 1571 2422 1571 c 2422 1570 2422 1570 2423 1570 c 2423 1570 2423 1570 2424 1571 c CP \r
+2424 1578 m 2424 1578 l 2436 1603 l 2449 1590 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2501 1453 m 2500 1454 l 2316 1638 l 2389 1711 l 2389 1710 l 2574 1525 l 2502 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2475 1563 m 2476 1563 2476 1564 2476 1564 c 2476 1565 2476 1565 2476 1566 c 2464 1578 l 2464 1578 2463 1578 2463 1578 c 2462 1578 2462 1577 2461 1577 c 2460 1576 2460 1575 2460 1575 c 2460 1574 2460 1574 2460 1574 c 2472 1562 l 2472 1562 2472 1561 2473 1561 c 2473 1561 2473 1561 2473 1561 c 2473 1561 2474 1562 2474 1562 c 2474 1562 2475 1562 2475 1563 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2501 1453 m 2500 1454 l 2316 1638 l 2389 1711 l 2389 1710 l 2574 1525 l 2502 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2507 1539 m 2508 1540 2510 1542 2510 1544 c 2511 1546 2512 1548 2511 1550 c 2511 1552 2511 1554 2510 1557 c 2508 1559 2507 1561 2505 1563 c 2504 1564 2502 1565 2501 1566 c 2500 1567 2499 1568 2497 1568 c 2496 1569 2495 1569 2494 1569 c 2494 1570 2493 1570 2493 1570 c 2493 1570 2492 1570 2492 1570 c 2492 1570 2492 1570 2491 1569 c 2491 1569 2491 1569 2491 1569 c 2490 1569 2490 1568 2489 1568 c 2489 1567 2488 1567 2488 1566 c 2488 1566 2488 1566 2488 1565 c 2489 1565 2489 1565 2490 1565 c 2491 1564 2492 1564 2493 1564 c 2494 1563 2495 1563 2497 1562 c 2498 1561 2500 1560 2501 1559 c 2502 1557 2503 1556 2504 1555 c 2504 1553 2505 1552 2505 1551 c 2505 1550 2505 1548 2504 1547 c 2504 1546 2503 1545 2502 1544 c 2501 1543 2500 1542 2499 1542 c 2497 1542 2496 1541 2495 1542 c 2493 1542 2492 1542 2490 1543 c 2489 1544 2487 1545 2486 1547 c 2482 1550 l 2482 1551 2482 1551 2481 1551 c 2481 1551 2481 1551 2481 1551 c 2480 1551 2480 1551 2480 1551 c 2480 1550 2479 1550 2479 1550 c 2478 1549 2478 1549 2478 1549 c 2478 1548 2478 1548 2478 1548 c 2478 1548 2478 1547 2478 1547 c 2478 1547 2478 1547 2478 1547 c 2481 1543 l 2483 1542 2483 1541 2484 1540 c 2485 1538 2485 1537 2485 1536 c 2485 1534 2485 1533 2485 1532 c 2484 1531 2483 1529 2482 1528 c 2482 1528 2481 1527 2480 1527 c 2479 1526 2478 1526 2477 1526 c 2476 1526 2475 1526 2474 1527 c 2473 1527 2472 1528 2471 1529 c 2470 1530 2469 1531 2468 1532 c 2468 1534 2467 1535 2467 1536 c 2466 1537 2466 1538 2466 1539 c 2466 1540 2466 1540 2465 1540 c 2465 1540 2465 1540 2465 1541 c 2465 1541 2465 1541 2465 1541 c 2464 1540 2464 1540 2464 1540 c 2463 1540 2463 1540 2463 1539 c 2462 1539 2462 1539 2462 1538 c 2462 1538 2462 1538 2462 1538 c 2461 1537 2461 1537 2461 1537 c 2461 1537 2461 1536 2461 1536 c 2461 1536 2461 1535 2462 1534 c 2462 1533 2462 1532 2463 1531 c 2463 1530 2464 1529 2465 1528 c 2465 1526 2466 1525 2468 1524 c 2469 1522 2471 1521 2473 1520 c 2475 1519 2476 1519 2478 1518 c 2480 1518 2481 1519 2483 1519 c 2484 1520 2486 1521 2487 1522 c 2488 1524 2489 1525 2490 1526 c 2491 1527 2491 1529 2491 1530 c 2491 1532 2491 1533 2491 1534 c 2491 1536 2490 1537 2489 1538 c 2489 1539 l 2491 1537 2492 1537 2494 1536 c 2495 1535 2497 1535 2498 1535 c 2500 1535 2501 1535 2503 1536 c 2504 1537 2506 1538 2507 1539 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2662 1453 m 2661 1454 l 2477 1638 l 2550 1711 l 2550 1710 l 2735 1525 l 2663 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2594 1623 m 2594 1624 2594 1624 2595 1624 c 2595 1624 2595 1625 2595 1625 c 2595 1625 2595 1625 2595 1625 c 2595 1626 2596 1626 2596 1626 c 2596 1627 2595 1627 2595 1628 c 2595 1629 2595 1631 2594 1632 c 2594 1633 2593 1634 2592 1636 c 2591 1637 2590 1639 2588 1640 c 2586 1643 2583 1644 2581 1645 c 2578 1647 2575 1647 2572 1647 c 2569 1647 2566 1646 2563 1644 c 2560 1643 2557 1640 2554 1637 c 2551 1634 2549 1631 2547 1628 c 2546 1625 2545 1622 2544 1618 c 2544 1615 2545 1612 2546 1610 c 2547 1607 2549 1604 2551 1602 c 2552 1600 2553 1600 2554 1599 c 2556 1598 2557 1597 2558 1597 c 2559 1596 2560 1596 2561 1595 c 2562 1595 2563 1595 2564 1595 c 2564 1595 2565 1595 2565 1595 c 2565 1595 2565 1595 2565 1595 c 2566 1596 2566 1596 2566 1596 c 2566 1596 2567 1596 2567 1597 c 2568 1597 2568 1598 2568 1598 c 2568 1598 2568 1598 2569 1599 c 2569 1599 2569 1599 2569 1599 c 2569 1600 2569 1600 2568 1600 c 2568 1600 2568 1600 2567 1600 c 2566 1601 2565 1601 2564 1601 c 2562 1601 2561 1602 2560 1603 c 2558 1603 2557 1604 2555 1606 c 2554 1608 2552 1609 2552 1611 c 2551 1613 2551 1616 2551 1618 c 2551 1620 2552 1622 2554 1625 c 2555 1627 2557 1629 2559 1632 c 2561 1634 2564 1636 2566 1637 c 2568 1639 2571 1639 2573 1640 c 2575 1640 2577 1640 2579 1639 c 2581 1638 2583 1637 2585 1635 c 2586 1634 2587 1632 2588 1631 c 2589 1629 2589 1628 2590 1627 c 2590 1625 2590 1624 2590 1624 c 2590 1623 2591 1622 2591 1622 c 2591 1622 2591 1622 2591 1622 c 2592 1622 2592 1622 2592 1622 c 2592 1622 2592 1622 2593 1622 c 2593 1622 2593 1623 2594 1623 c CP \r
+2631 1593 m 2632 1593 2632 1593 2633 1593 c 2633 1594 2633 1594 2633 1594 c 2633 1594 2633 1595 2633 1595 c 2632 1596 2632 1596 2631 1597 c 2631 1597 2630 1598 2630 1598 c 2629 1598 2629 1599 2629 1599 c 2629 1599 2628 1599 2628 1599 c 2628 1599 2628 1599 2628 1599 c 2615 1593 l 2600 1608 l 2606 1620 l 2606 1620 2606 1621 2606 1621 c 2606 1621 2606 1621 2606 1622 c 2606 1622 2606 1622 2605 1623 c 2605 1623 2605 1623 2604 1624 c 2603 1624 2603 1625 2603 1625 c 2602 1626 2602 1626 2602 1626 c 2601 1626 2601 1626 2601 1625 c 2601 1625 2600 1625 2600 1624 c 2578 1577 l 2578 1577 2578 1577 2578 1576 c 2578 1576 2578 1576 2578 1575 c 2578 1575 2578 1575 2579 1574 c 2579 1574 2580 1574 2580 1573 c 2581 1572 2581 1572 2582 1571 c 2582 1571 2583 1571 2583 1571 c 2583 1570 2583 1570 2584 1570 c 2584 1570 2584 1570 2585 1571 c CP \r
+2585 1578 m 2585 1578 l 2597 1603 l 2610 1590 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2662 1453 m 2661 1454 l 2477 1638 l 2550 1711 l 2550 1710 l 2735 1525 l 2663 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2636 1563 m 2637 1563 2637 1564 2637 1564 c 2637 1565 2637 1565 2637 1566 c 2625 1578 l 2625 1578 2624 1578 2624 1578 c 2623 1578 2623 1577 2622 1577 c 2621 1576 2621 1575 2621 1575 c 2621 1574 2621 1574 2621 1574 c 2633 1562 l 2633 1562 2633 1561 2634 1561 c 2634 1561 2634 1561 2634 1561 c 2634 1561 2635 1562 2635 1562 c 2635 1562 2636 1562 2636 1563 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2662 1453 m 2661 1454 l 2477 1638 l 2550 1711 l 2550 1710 l 2735 1525 l 2663 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2667 1537 m 2669 1539 2670 1541 2671 1544 c 2672 1546 2672 1548 2672 1550 c 2672 1553 2671 1555 2670 1557 c 2669 1559 2667 1561 2665 1564 c 2664 1565 2663 1566 2662 1567 c 2660 1567 2659 1568 2658 1569 c 2657 1569 2656 1570 2656 1570 c 2655 1570 2654 1570 2654 1570 c 2654 1570 2654 1570 2653 1570 c 2653 1570 2653 1570 2653 1570 c 2653 1570 2652 1570 2652 1570 c 2652 1569 2652 1569 2651 1569 c 2651 1568 2651 1568 2650 1568 c 2650 1568 2650 1567 2650 1567 c 2650 1567 2650 1567 2650 1566 c 2650 1566 2650 1566 2650 1566 c 2650 1566 2651 1566 2651 1565 c 2652 1565 2653 1565 2654 1565 c 2655 1564 2656 1564 2657 1563 c 2658 1562 2660 1561 2661 1560 c 2662 1558 2663 1557 2664 1556 c 2665 1554 2665 1553 2665 1551 c 2665 1550 2665 1549 2665 1547 c 2664 1546 2663 1544 2662 1543 c 2661 1542 2659 1541 2658 1540 c 2657 1540 2655 1540 2654 1540 c 2653 1540 2651 1540 2650 1541 c 2648 1542 2647 1544 2645 1545 c 2644 1546 2643 1547 2642 1548 c 2642 1549 2641 1550 2640 1551 c 2640 1551 2639 1552 2639 1552 c 2638 1552 2638 1551 2637 1551 c 2622 1535 l 2621 1535 2621 1534 2621 1534 c 2621 1533 2621 1532 2622 1532 c 2638 1515 l 2638 1515 2638 1515 2639 1515 c 2639 1515 2639 1515 2639 1515 c 2640 1515 2640 1515 2640 1516 c 2641 1516 2641 1516 2641 1516 c 2642 1517 2642 1518 2643 1518 c 2643 1519 2643 1519 2642 1520 c 2629 1533 l 2640 1543 l 2640 1543 2641 1542 2641 1541 c 2642 1541 2643 1540 2644 1539 c 2646 1537 2648 1535 2650 1534 c 2652 1533 2654 1533 2656 1533 c 2658 1532 2660 1533 2661 1534 c 2663 1534 2665 1536 2667 1537 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2823 1453 m 2822 1454 l 2636 1640 l 2636 1642 l 2637 1642 l 2707 1712 l 2709 1713 l 2709 1712 l 2896 1525 l 2824 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2752 1626 m 2752 1626 2753 1627 2753 1627 c 2753 1627 2753 1627 2753 1628 c 2754 1628 2754 1628 2754 1628 c 2754 1628 2754 1629 2754 1629 c 2754 1629 2754 1630 2753 1631 c 2753 1632 2753 1633 2752 1635 c 2752 1636 2751 1637 2750 1639 c 2749 1640 2748 1641 2747 1643 c 2744 1645 2742 1647 2739 1648 c 2736 1649 2733 1650 2730 1650 c 2728 1649 2725 1649 2722 1647 c 2718 1645 2715 1643 2712 1640 c 2709 1637 2707 1634 2705 1631 c 2704 1627 2703 1624 2703 1621 c 2702 1618 2703 1615 2704 1612 c 2705 1609 2707 1607 2709 1604 c 2710 1603 2712 1602 2713 1601 c 2714 1601 2715 1600 2716 1599 c 2717 1599 2719 1598 2720 1598 c 2721 1598 2722 1598 2722 1598 c 2723 1598 2723 1598 2723 1598 c 2723 1598 2724 1598 2724 1598 c 2724 1598 2724 1598 2725 1599 c 2725 1599 2725 1599 2725 1600 c 2726 1600 2726 1600 2726 1601 c 2727 1601 2727 1601 2727 1601 c 2727 1602 2727 1602 2727 1602 c 2727 1602 2727 1602 2727 1603 c 2726 1603 2726 1603 2725 1603 c 2724 1603 2723 1604 2722 1604 c 2721 1604 2719 1605 2718 1605 c 2717 1606 2715 1607 2714 1609 c 2712 1610 2711 1612 2710 1614 c 2709 1616 2709 1618 2709 1621 c 2710 1623 2711 1625 2712 1627 c 2713 1630 2715 1632 2717 1635 c 2720 1637 2722 1639 2724 1640 c 2727 1641 2729 1642 2731 1642 c 2733 1643 2735 1642 2737 1642 c 2739 1641 2741 1640 2743 1638 c 2744 1636 2746 1635 2746 1633 c 2747 1632 2748 1631 2748 1629 c 2748 1628 2748 1627 2749 1626 c 2749 1625 2749 1625 2749 1625 c 2749 1624 2750 1624 2750 1624 c 2750 1624 2750 1624 2750 1624 c 2750 1625 2751 1625 2751 1625 c 2751 1625 2752 1626 2752 1626 c CP \r
+2790 1597 m 2790 1598 2790 1598 2790 1598 c 2790 1598 2790 1598 2790 1599 c 2790 1599 2790 1599 2789 1600 c 2789 1600 2789 1600 2788 1601 c 2788 1601 2787 1602 2787 1602 c 2787 1602 2786 1602 2786 1602 c 2786 1603 2786 1603 2785 1603 c 2785 1603 2785 1602 2785 1602 c 2768 1586 l 2752 1603 l 2768 1619 l 2768 1619 2768 1620 2768 1620 c 2768 1620 2768 1620 2768 1620 c 2768 1621 2768 1621 2768 1621 c 2767 1622 2767 1622 2766 1623 c 2766 1623 2766 1623 2765 1624 c 2765 1624 2764 1624 2764 1624 c 2764 1624 2764 1624 2764 1624 c 2763 1624 2763 1624 2763 1624 c 2727 1589 l 2727 1588 2727 1588 2727 1588 c 2727 1588 2727 1588 2727 1587 c 2727 1587 2728 1587 2728 1586 c 2728 1586 2729 1586 2729 1585 c 2729 1585 2730 1584 2730 1584 c 2731 1584 2731 1584 2731 1583 c 2731 1583 2732 1583 2732 1583 c 2732 1583 2732 1583 2732 1584 c 2747 1598 l 2764 1582 l 2749 1567 l 2749 1567 2749 1566 2749 1566 c 2749 1566 2749 1566 2749 1566 c 2749 1565 2749 1565 2750 1565 c 2750 1564 2750 1564 2751 1563 c 2751 1563 2752 1563 2752 1562 c 2752 1562 2753 1562 2753 1562 c 2753 1562 2753 1562 2754 1562 c 2754 1562 2754 1562 2754 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2823 1453 m 2822 1454 l 2636 1640 l 2636 1642 l 2637 1642 l 2707 1712 l 2709 1713 l 2709 1712 l 2896 1525 l 2824 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2797 1563 m 2798 1563 2798 1564 2798 1564 c 2799 1565 2798 1565 2798 1566 c 2786 1578 l 2786 1578 2785 1578 2785 1578 c 2784 1578 2784 1577 2783 1577 c 2782 1576 2782 1575 2782 1575 c 2782 1574 2782 1574 2782 1574 c 2794 1562 l 2794 1561 2795 1561 2795 1561 c 2795 1561 2795 1561 2795 1561 c 2796 1561 2796 1562 2796 1562 c 2796 1562 2797 1562 2797 1563 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2823 1453 m 2822 1454 l 2636 1640 l 2636 1642 l 2637 1642 l 2707 1712 l 2709 1713 l 2709 1712 l 2896 1525 l 2824 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2838 1547 m 2838 1547 2838 1547 2839 1548 c 2839 1548 2839 1548 2839 1549 c 2839 1549 2839 1549 2839 1549 c 2839 1550 2839 1550 2839 1550 c 2818 1570 l 2818 1571 2818 1571 2817 1571 c 2817 1571 2817 1571 2817 1571 c 2816 1571 2816 1571 2816 1571 c 2815 1571 2815 1570 2814 1570 c 2814 1570 2814 1569 2813 1569 c 2813 1569 2813 1568 2813 1568 c 2813 1568 2813 1567 2813 1567 c 2813 1567 2812 1566 2812 1566 c 2812 1551 l 2812 1547 2812 1544 2812 1542 c 2811 1539 2811 1537 2810 1536 c 2810 1534 2809 1532 2808 1531 c 2807 1530 2807 1529 2806 1528 c 2805 1528 2804 1527 2803 1527 c 2802 1526 2801 1526 2800 1526 c 2799 1526 2798 1526 2797 1526 c 2796 1527 2795 1528 2793 1529 c 2792 1530 2791 1531 2791 1532 c 2790 1534 2790 1535 2789 1536 c 2789 1537 2789 1538 2789 1539 c 2788 1540 2788 1540 2788 1540 c 2788 1541 2788 1541 2787 1541 c 2787 1541 2787 1541 2787 1541 c 2787 1540 2786 1540 2786 1540 c 2786 1540 2785 1539 2785 1539 c 2785 1539 2784 1538 2784 1538 c 2784 1538 2784 1538 2784 1538 c 2784 1537 2784 1537 2783 1537 c 2783 1537 2783 1536 2783 1536 c 2783 1536 2784 1535 2784 1534 c 2784 1533 2784 1532 2785 1531 c 2785 1530 2786 1528 2787 1527 c 2788 1526 2789 1525 2790 1524 c 2792 1522 2793 1521 2795 1520 c 2797 1519 2799 1518 2801 1518 c 2802 1518 2804 1519 2806 1520 c 2807 1520 2809 1521 2810 1523 c 2811 1524 2812 1525 2813 1526 c 2814 1528 2815 1530 2816 1532 c 2816 1534 2817 1536 2817 1539 c 2818 1542 2818 1546 2818 1550 c 2818 1562 l 2834 1546 l 2835 1546 2835 1546 2835 1546 c 2835 1545 2836 1545 2836 1546 c 2836 1546 2836 1546 2837 1546 c 2837 1546 2837 1546 2838 1547 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2984 1454 m 2983 1455 l 2797 1641 l 2868 1712 l 2870 1713 l 2870 1712 l 3057 1525 l 2986 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2913 1626 m 2914 1626 2914 1627 2914 1627 c 2914 1627 2914 1627 2915 1628 c 2915 1628 2915 1628 2915 1628 c 2915 1628 2915 1629 2915 1629 c 2915 1629 2915 1630 2915 1631 c 2914 1632 2914 1633 2913 1635 c 2913 1636 2912 1637 2911 1639 c 2910 1640 2909 1641 2908 1643 c 2905 1645 2903 1647 2900 1648 c 2897 1649 2894 1650 2892 1650 c 2889 1649 2886 1649 2883 1647 c 2880 1645 2877 1643 2874 1640 c 2870 1637 2868 1634 2866 1631 c 2865 1627 2864 1624 2864 1621 c 2863 1618 2864 1615 2865 1612 c 2866 1609 2868 1607 2870 1604 c 2871 1603 2873 1602 2874 1601 c 2875 1601 2876 1600 2877 1599 c 2879 1599 2880 1598 2881 1598 c 2882 1598 2883 1598 2883 1598 c 2884 1598 2884 1598 2884 1598 c 2884 1598 2885 1598 2885 1598 c 2885 1598 2885 1598 2886 1599 c 2886 1599 2886 1599 2887 1600 c 2887 1600 2887 1600 2887 1601 c 2888 1601 2888 1601 2888 1601 c 2888 1602 2888 1602 2888 1602 c 2888 1602 2888 1602 2888 1603 c 2888 1603 2887 1603 2886 1603 c 2885 1603 2884 1604 2883 1604 c 2882 1604 2880 1605 2879 1605 c 2878 1606 2876 1607 2875 1609 c 2873 1610 2872 1612 2871 1614 c 2870 1616 2870 1618 2870 1621 c 2871 1623 2872 1625 2873 1627 c 2874 1630 2876 1632 2878 1635 c 2881 1637 2883 1639 2885 1640 c 2888 1641 2890 1642 2892 1642 c 2894 1643 2896 1642 2898 1642 c 2900 1641 2902 1640 2904 1638 c 2906 1636 2907 1635 2907 1633 c 2908 1632 2909 1631 2909 1629 c 2909 1628 2910 1627 2910 1626 c 2910 1625 2910 1625 2910 1625 c 2910 1624 2911 1624 2911 1624 c 2911 1624 2911 1624 2911 1624 c 2912 1625 2912 1625 2912 1625 c 2912 1625 2913 1626 2913 1626 c CP \r
+2951 1597 m 2951 1598 2951 1598 2951 1598 c 2951 1598 2951 1598 2951 1599 c 2951 1599 2951 1599 2950 1600 c 2950 1600 2950 1600 2949 1601 c 2949 1601 2948 1602 2948 1602 c 2948 1602 2947 1602 2947 1602 c 2947 1603 2947 1603 2946 1603 c 2946 1603 2946 1602 2946 1602 c 2929 1586 l 2913 1603 l 2929 1619 l 2929 1619 2929 1620 2929 1620 c 2929 1620 2929 1620 2929 1620 c 2929 1621 2929 1621 2929 1621 c 2928 1622 2928 1622 2927 1623 c 2927 1623 2927 1623 2926 1624 c 2926 1624 2926 1624 2925 1624 c 2925 1624 2925 1624 2925 1624 c 2924 1624 2924 1624 2924 1624 c 2889 1589 l 2888 1588 2888 1588 2888 1588 c 2888 1588 2888 1588 2888 1587 c 2888 1587 2889 1587 2889 1586 c 2889 1586 2890 1586 2890 1585 c 2891 1585 2891 1584 2891 1584 c 2892 1584 2892 1584 2892 1583 c 2893 1583 2893 1583 2893 1583 c 2893 1583 2893 1583 2893 1584 c 2908 1598 l 2925 1582 l 2910 1567 l 2910 1567 2910 1566 2910 1566 c 2910 1566 2910 1566 2910 1566 c 2910 1565 2910 1565 2911 1565 c 2911 1564 2911 1564 2912 1563 c 2912 1563 2913 1563 2913 1562 c 2913 1562 2914 1562 2914 1562 c 2914 1562 2915 1562 2915 1562 c 2915 1562 2915 1562 2915 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2984 1454 m 2983 1455 l 2797 1641 l 2868 1712 l 2870 1713 l 2870 1712 l 3057 1525 l 2986 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2958 1563 m 2959 1563 2959 1564 2959 1564 c 2960 1565 2960 1565 2959 1566 c 2947 1578 l 2947 1578 2946 1578 2946 1578 c 2946 1578 2945 1577 2944 1577 c 2943 1576 2943 1575 2943 1575 c 2943 1574 2943 1574 2943 1574 c 2955 1562 l 2955 1561 2956 1561 2956 1561 c 2956 1561 2956 1561 2956 1561 c 2957 1561 2957 1562 2957 1562 c 2958 1562 2958 1562 2958 1563 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 2984 1454 m 2983 1455 l 2797 1641 l 2868 1712 l 2870 1713 l 2870 1712 l 3057 1525 l 2986 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 2999 1547 m 2999 1547 2999 1547 3000 1548 c 3000 1548 3000 1548 3000 1549 c 3000 1549 3000 1549 3000 1549 c 3000 1550 3000 1550 3000 1550 c 2979 1570 l 2979 1571 2979 1571 2978 1571 c 2978 1571 2978 1571 2978 1571 c 2977 1571 2977 1571 2977 1571 c 2976 1571 2976 1570 2975 1570 c 2975 1570 2975 1569 2975 1569 c 2974 1569 2974 1568 2974 1568 c 2974 1568 2974 1567 2974 1567 c 2974 1567 2974 1566 2974 1566 c 2973 1551 l 2973 1547 2973 1544 2973 1542 c 2972 1539 2972 1537 2971 1536 c 2971 1534 2970 1532 2969 1531 c 2969 1530 2968 1529 2967 1528 c 2966 1528 2965 1527 2964 1527 c 2963 1526 2962 1526 2961 1526 c 2960 1526 2959 1526 2958 1526 c 2957 1527 2956 1528 2955 1529 c 2953 1530 2952 1531 2952 1532 c 2951 1534 2951 1535 2950 1536 c 2950 1537 2950 1538 2950 1539 c 2949 1540 2949 1540 2949 1540 c 2949 1541 2949 1541 2949 1541 c 2948 1541 2948 1541 2948 1541 c 2948 1540 2947 1540 2947 1540 c 2947 1540 2946 1539 2946 1539 c 2946 1539 2945 1538 2945 1538 c 2945 1538 2945 1538 2945 1538 c 2945 1537 2945 1537 2945 1537 c 2944 1537 2944 1536 2944 1536 c 2945 1536 2945 1535 2945 1534 c 2945 1533 2945 1532 2946 1531 c 2946 1530 2947 1528 2948 1527 c 2949 1526 2950 1525 2951 1524 c 2953 1522 2954 1521 2956 1520 c 2958 1519 2960 1518 2962 1518 c 2963 1518 2965 1519 2967 1520 c 2968 1520 2970 1521 2971 1523 c 2972 1524 2973 1525 2974 1526 c 2975 1528 2976 1530 2977 1532 c 2978 1534 2978 1536 2978 1539 c 2979 1542 2979 1546 2979 1550 c 2979 1562 l 2996 1546 l 2996 1546 2996 1546 2996 1546 c 2996 1545 2997 1545 2997 1546 c 2997 1546 2997 1546 2998 1546 c 2998 1546 2998 1546 2999 1547 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3145 1454 m 3144 1455 l 2958 1641 l 3029 1712 l 3031 1713 l 3031 1712 l 3218 1525 l 3147 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3074 1626 m 3075 1626 3075 1627 3075 1627 c 3075 1627 3075 1627 3076 1628 c 3076 1628 3076 1628 3076 1628 c 3076 1628 3076 1629 3076 1629 c 3076 1629 3076 1630 3076 1631 c 3075 1632 3075 1633 3074 1635 c 3074 1636 3073 1637 3072 1639 c 3071 1640 3070 1641 3069 1643 c 3066 1645 3064 1647 3061 1648 c 3058 1649 3056 1650 3053 1650 c 3050 1649 3047 1649 3044 1647 c 3041 1645 3038 1643 3035 1640 c 3032 1637 3029 1634 3028 1631 c 3026 1627 3025 1624 3025 1621 c 3025 1618 3025 1615 3026 1612 c 3027 1609 3029 1607 3031 1604 c 3032 1603 3034 1602 3035 1601 c 3036 1601 3037 1600 3038 1599 c 3040 1599 3041 1598 3042 1598 c 3043 1598 3044 1598 3044 1598 c 3045 1598 3045 1598 3045 1598 c 3045 1598 3046 1598 3046 1598 c 3046 1598 3046 1598 3047 1599 c 3047 1599 3047 1599 3048 1600 c 3048 1600 3048 1600 3048 1601 c 3049 1601 3049 1601 3049 1601 c 3049 1602 3049 1602 3049 1602 c 3049 1602 3049 1602 3049 1603 c 3049 1603 3048 1603 3047 1603 c 3046 1603 3045 1604 3044 1604 c 3043 1604 3042 1605 3040 1605 c 3039 1606 3037 1607 3036 1609 c 3034 1610 3033 1612 3032 1614 c 3031 1616 3031 1618 3032 1621 c 3032 1623 3033 1625 3034 1627 c 3035 1630 3037 1632 3040 1635 c 3042 1637 3044 1639 3047 1640 c 3049 1641 3051 1642 3053 1642 c 3055 1643 3057 1642 3059 1642 c 3061 1641 3063 1640 3065 1638 c 3067 1636 3068 1635 3068 1633 c 3069 1632 3070 1631 3070 1629 c 3070 1628 3071 1627 3071 1626 c 3071 1625 3071 1625 3071 1625 c 3072 1624 3072 1624 3072 1624 c 3072 1624 3072 1624 3072 1624 c 3073 1625 3073 1625 3073 1625 c 3073 1625 3074 1626 3074 1626 c CP \r
+3112 1597 m 3112 1598 3112 1598 3112 1598 c 3112 1598 3112 1598 3112 1599 c 3112 1599 3112 1599 3111 1600 c 3111 1600 3111 1600 3110 1601 c 3110 1601 3109 1602 3109 1602 c 3109 1602 3108 1602 3108 1602 c 3108 1603 3108 1603 3107 1603 c 3107 1603 3107 1602 3107 1602 c 3091 1586 l 3074 1603 l 3090 1619 l 3090 1619 3090 1620 3090 1620 c 3090 1620 3090 1620 3090 1620 c 3090 1621 3090 1621 3090 1621 c 3089 1622 3089 1622 3089 1623 c 3088 1623 3088 1623 3087 1624 c 3087 1624 3087 1624 3086 1624 c 3086 1624 3086 1624 3086 1624 c 3085 1624 3085 1624 3085 1624 c 3050 1589 l 3049 1588 3049 1588 3049 1588 c 3049 1588 3049 1588 3049 1587 c 3050 1587 3050 1587 3050 1586 c 3050 1586 3051 1586 3051 1585 c 3052 1585 3052 1584 3052 1584 c 3053 1584 3053 1584 3053 1583 c 3054 1583 3054 1583 3054 1583 c 3054 1583 3054 1583 3054 1584 c 3069 1598 l 3086 1582 l 3071 1567 l 3071 1567 3071 1566 3071 1566 c 3071 1566 3071 1566 3071 1566 c 3071 1565 3072 1565 3072 1565 c 3072 1564 3072 1564 3073 1563 c 3073 1563 3074 1563 3074 1562 c 3075 1562 3075 1562 3075 1562 c 3075 1562 3076 1562 3076 1562 c 3076 1562 3076 1562 3076 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3145 1454 m 3144 1455 l 2958 1641 l 3029 1712 l 3031 1713 l 3031 1712 l 3218 1525 l 3147 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3119 1563 m 3120 1563 3120 1564 3121 1564 c 3121 1565 3121 1565 3120 1566 c 3108 1578 l 3108 1578 3108 1578 3107 1578 c 3107 1578 3106 1577 3105 1577 c 3105 1576 3104 1575 3104 1575 c 3104 1574 3104 1574 3104 1574 c 3116 1562 l 3116 1561 3117 1561 3117 1561 c 3117 1561 3117 1561 3117 1561 c 3118 1561 3118 1562 3118 1562 c 3119 1562 3119 1562 3119 1563 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3145 1454 m 3144 1455 l 2958 1641 l 3029 1712 l 3031 1713 l 3031 1712 l 3218 1525 l 3147 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3153 1537 m 3154 1537 3154 1538 3154 1539 c 3154 1539 3154 1540 3154 1540 c 3150 1544 l 3157 1552 l 3158 1552 3158 1552 3158 1552 c 3158 1553 3158 1553 3158 1553 c 3157 1553 3157 1554 3157 1554 c 3157 1554 3156 1555 3156 1555 c 3155 1556 3155 1556 3155 1556 c 3154 1557 3154 1557 3154 1557 c 3153 1557 3153 1557 3153 1557 c 3153 1557 3153 1557 3153 1557 c 3145 1549 l 3130 1564 l 3129 1564 3129 1565 3129 1565 c 3129 1565 3128 1565 3128 1565 c 3128 1565 3128 1565 3127 1564 c 3127 1564 3127 1564 3126 1563 c 3126 1563 3125 1563 3125 1562 c 3125 1562 3125 1562 3124 1561 c 3124 1561 3124 1561 3124 1560 c 3124 1560 3124 1560 3124 1559 c 3114 1524 l 3114 1523 3114 1523 3114 1523 c 3114 1523 3115 1522 3115 1522 c 3115 1522 3115 1521 3116 1521 c 3116 1520 3117 1520 3117 1519 c 3118 1518 3118 1518 3119 1517 c 3119 1517 3120 1517 3120 1516 c 3121 1516 3121 1516 3121 1516 c 3122 1516 3122 1516 3122 1516 c 3146 1540 l 3150 1536 l 3150 1536 3151 1535 3151 1536 c 3152 1536 3152 1536 3153 1537 c CP \r
+3120 1525 m 3120 1525 l 3129 1557 l 3141 1545 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3306 1454 m 3305 1455 l 3119 1641 l 3190 1712 l 3192 1713 l 3192 1712 l 3379 1525 l 3308 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3235 1626 m 3236 1626 3236 1627 3236 1627 c 3236 1627 3237 1627 3237 1628 c 3237 1628 3237 1628 3237 1628 c 3237 1628 3237 1629 3237 1629 c 3237 1629 3237 1630 3237 1631 c 3236 1632 3236 1633 3236 1635 c 3235 1636 3234 1637 3233 1639 c 3232 1640 3231 1641 3230 1643 c 3227 1645 3225 1647 3222 1648 c 3219 1649 3217 1650 3214 1650 c 3211 1649 3208 1649 3205 1647 c 3202 1645 3199 1643 3196 1640 c 3193 1637 3190 1634 3189 1631 c 3187 1627 3186 1624 3186 1621 c 3186 1618 3186 1615 3187 1612 c 3188 1609 3190 1607 3192 1604 c 3194 1603 3195 1602 3196 1601 c 3197 1601 3198 1600 3199 1599 c 3201 1599 3202 1598 3203 1598 c 3204 1598 3205 1598 3205 1598 c 3206 1598 3206 1598 3206 1598 c 3206 1598 3207 1598 3207 1598 c 3207 1598 3207 1598 3208 1599 c 3208 1599 3208 1599 3209 1600 c 3209 1600 3209 1600 3210 1601 c 3210 1601 3210 1601 3210 1601 c 3210 1602 3210 1602 3210 1602 c 3210 1602 3210 1602 3210 1603 c 3210 1603 3209 1603 3208 1603 c 3207 1603 3206 1604 3205 1604 c 3204 1604 3203 1605 3201 1605 c 3200 1606 3198 1607 3197 1609 c 3195 1610 3194 1612 3193 1614 c 3192 1616 3192 1618 3193 1621 c 3193 1623 3194 1625 3195 1627 c 3196 1630 3198 1632 3201 1635 c 3203 1637 3205 1639 3208 1640 c 3210 1641 3212 1642 3214 1642 c 3216 1643 3219 1642 3221 1642 c 3223 1641 3224 1640 3226 1638 c 3228 1636 3229 1635 3229 1633 c 3230 1632 3231 1631 3231 1629 c 3231 1628 3232 1627 3232 1626 c 3232 1625 3232 1625 3232 1625 c 3233 1624 3233 1624 3233 1624 c 3233 1624 3233 1624 3233 1624 c 3234 1625 3234 1625 3234 1625 c 3235 1625 3235 1626 3235 1626 c CP \r
+3273 1597 m 3273 1598 3273 1598 3273 1598 c 3273 1598 3273 1598 3273 1599 c 3273 1599 3273 1599 3272 1600 c 3272 1600 3272 1600 3271 1601 c 3271 1601 3270 1602 3270 1602 c 3270 1602 3269 1602 3269 1602 c 3269 1603 3269 1603 3269 1603 c 3268 1603 3268 1602 3268 1602 c 3252 1586 l 3235 1603 l 3251 1619 l 3251 1619 3251 1620 3251 1620 c 3251 1620 3251 1620 3251 1620 c 3251 1621 3251 1621 3251 1621 c 3250 1622 3250 1622 3250 1623 c 3249 1623 3249 1623 3248 1624 c 3248 1624 3248 1624 3247 1624 c 3247 1624 3247 1624 3247 1624 c 3247 1624 3246 1624 3246 1624 c 3211 1589 l 3210 1588 3210 1588 3210 1588 c 3210 1588 3210 1588 3210 1587 c 3211 1587 3211 1587 3211 1586 c 3211 1586 3212 1586 3212 1585 c 3213 1585 3213 1584 3213 1584 c 3214 1584 3214 1584 3214 1583 c 3215 1583 3215 1583 3215 1583 c 3215 1583 3215 1583 3216 1584 c 3230 1598 l 3247 1582 l 3232 1567 l 3232 1567 3232 1566 3232 1566 c 3232 1566 3232 1566 3232 1566 c 3232 1565 3233 1565 3233 1565 c 3233 1564 3233 1564 3234 1563 c 3234 1563 3235 1563 3235 1562 c 3236 1562 3236 1562 3236 1562 c 3236 1562 3237 1562 3237 1562 c 3237 1562 3237 1562 3237 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3306 1454 m 3305 1455 l 3119 1641 l 3190 1712 l 3192 1713 l 3192 1712 l 3379 1525 l 3308 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3280 1563 m 3281 1563 3281 1564 3282 1564 c 3282 1565 3282 1565 3281 1566 c 3269 1578 l 3269 1578 3269 1578 3268 1578 c 3268 1578 3267 1577 3266 1577 c 3266 1576 3265 1575 3265 1575 c 3265 1574 3265 1574 3265 1574 c 3277 1562 l 3278 1561 3278 1561 3278 1561 c 3278 1561 3278 1561 3279 1561 c 3279 1561 3279 1562 3279 1562 c 3280 1562 3280 1562 3280 1563 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3306 1454 m 3305 1455 l 3119 1641 l 3190 1712 l 3192 1713 l 3192 1712 l 3379 1525 l 3308 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3314 1539 m 3316 1540 3317 1542 3318 1544 c 3318 1545 3319 1547 3318 1549 c 3318 1551 3318 1553 3316 1555 c 3315 1557 3314 1559 3312 1561 c 3310 1563 3308 1565 3306 1566 c 3304 1567 3302 1568 3300 1568 c 3298 1568 3297 1568 3295 1567 c 3293 1567 3292 1566 3290 1564 c 3289 1563 3288 1562 3288 1561 c 3287 1559 3287 1558 3286 1556 c 3286 1555 3286 1553 3287 1551 c 3287 1550 3288 1548 3288 1546 c 3287 1546 3285 1547 3283 1547 c 3282 1547 3280 1547 3279 1547 c 3278 1547 3276 1546 3275 1546 c 3274 1545 3273 1544 3272 1543 c 3271 1542 3270 1541 3269 1539 c 3268 1537 3268 1536 3268 1534 c 3268 1532 3269 1530 3270 1528 c 3271 1526 3272 1525 3274 1523 c 3276 1521 3278 1519 3280 1518 c 3281 1517 3283 1517 3285 1517 c 3286 1517 3288 1517 3289 1518 c 3291 1518 3292 1519 3293 1520 c 3294 1521 3295 1522 3296 1524 c 3296 1525 3297 1526 3297 1528 c 3297 1529 3297 1530 3297 1532 c 3297 1534 3296 1535 3296 1537 c 3298 1536 3300 1536 3302 1536 c 3303 1535 3305 1535 3307 1535 c 3308 1535 3309 1536 3311 1536 c 3312 1537 3313 1537 3314 1539 c CP \r
+3289 1526 m 3288 1525 3287 1524 3286 1524 c 3286 1524 3285 1523 3284 1523 c 3283 1524 3282 1524 3281 1524 c 3280 1525 3279 1526 3277 1527 c 3275 1529 3274 1531 3274 1533 c 3274 1535 3275 1537 3276 1538 c 3277 1539 3278 1540 3279 1540 c 3280 1540 3281 1541 3282 1541 c 3283 1541 3284 1540 3286 1540 c 3287 1540 3289 1540 3290 1539 c 3291 1536 3292 1533 3292 1531 c 3291 1529 3291 1527 3289 1526 c CP \r
+3310 1544 m 3309 1543 3308 1543 3307 1542 c 3306 1542 3305 1542 3303 1542 c 3302 1542 3301 1542 3299 1542 c 3298 1543 3296 1543 3294 1544 c 3293 1546 3293 1547 3293 1549 c 3292 1550 3292 1552 3292 1553 c 3292 1554 3292 1555 3293 1556 c 3293 1557 3294 1558 3295 1559 c 3297 1561 3299 1562 3301 1561 c 3303 1561 3306 1560 3308 1557 c 3311 1555 3312 1552 3312 1550 c 3312 1548 3312 1546 3310 1544 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3467 1454 m 3466 1455 l 3288 1633 l 3288 1635 l 3289 1635 l 3360 1706 l 3360 1705 l 3540 1525 l 3469 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3373 1590 m 3373 1590 3374 1591 3374 1591 c 3374 1591 3374 1591 3374 1592 c 3375 1592 3375 1592 3375 1592 c 3374 1593 3374 1593 3374 1593 c 3364 1603 l 3396 1635 l 3396 1636 3396 1636 3396 1636 c 3396 1636 3396 1636 3396 1637 c 3396 1637 3396 1637 3396 1638 c 3395 1638 3395 1638 3394 1639 c 3394 1639 3394 1640 3393 1640 c 3393 1640 3392 1640 3392 1641 c 3392 1641 3392 1641 3392 1641 c 3391 1641 3391 1641 3391 1640 c 3359 1608 l 3348 1619 l 3348 1619 3348 1619 3348 1619 c 3348 1619 3347 1619 3347 1619 c 3347 1619 3347 1619 3346 1618 c 3346 1618 3346 1618 3345 1618 c 3345 1617 3345 1617 3344 1617 c 3344 1616 3344 1616 3344 1616 c 3344 1615 3344 1615 3344 1615 c 3344 1615 3344 1615 3344 1614 c 3370 1589 l 3370 1589 3370 1588 3371 1588 c 3371 1588 3371 1588 3371 1588 c 3372 1589 3372 1589 3372 1589 c 3372 1589 3373 1589 3373 1590 c CP \r
+3437 1594 m 3437 1594 3437 1595 3437 1595 c 3437 1595 3437 1595 3437 1595 c 3437 1596 3437 1596 3437 1596 c 3436 1597 3436 1597 3435 1598 c 3435 1598 3434 1599 3434 1599 c 3434 1599 3433 1599 3433 1600 c 3433 1600 3433 1600 3432 1600 c 3432 1600 3432 1600 3432 1599 c 3419 1594 l 3418 1593 3417 1593 3415 1593 c 3414 1592 3413 1592 3412 1592 c 3411 1592 3409 1592 3408 1593 c 3407 1593 3406 1594 3405 1595 c 3402 1598 l 3417 1614 l 3417 1614 3418 1614 3418 1615 c 3418 1615 3418 1615 3417 1615 c 3417 1616 3417 1616 3417 1616 c 3417 1617 3416 1617 3416 1617 c 3415 1618 3415 1618 3415 1619 c 3414 1619 3414 1619 3414 1619 c 3413 1619 3413 1619 3413 1619 c 3413 1619 3413 1619 3412 1619 c 3378 1585 l 3377 1584 3377 1583 3377 1583 c 3377 1582 3377 1581 3378 1581 c 3386 1573 l 3387 1572 3388 1571 3388 1571 c 3389 1570 3389 1570 3390 1569 c 3392 1568 3393 1567 3395 1567 c 3397 1566 3398 1566 3400 1566 c 3401 1566 3403 1566 3404 1567 c 3406 1568 3407 1569 3408 1570 c 3410 1571 3411 1572 3411 1574 c 3412 1575 3412 1576 3412 1578 c 3412 1579 3412 1581 3412 1582 c 3412 1583 3411 1585 3410 1586 c 3411 1586 3412 1586 3413 1586 c 3414 1586 3415 1586 3416 1586 c 3417 1586 3418 1586 3419 1587 c 3420 1587 3422 1587 3423 1588 c 3434 1593 l 3435 1593 3436 1594 3436 1594 c 3437 1594 3437 1594 3437 1594 c CP \r
+3404 1576 m 3402 1574 3401 1573 3399 1573 c 3397 1573 3396 1573 3394 1574 c 3393 1574 3392 1575 3392 1575 c 3391 1576 3390 1577 3389 1578 c 3385 1582 l 3398 1594 l 3402 1590 l 3404 1588 3405 1587 3405 1586 c 3406 1584 3406 1583 3406 1582 c 3406 1581 3406 1580 3406 1579 c 3405 1578 3405 1577 3404 1576 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3467 1454 m 3466 1455 l 3288 1633 l 3288 1635 l 3289 1635 l 3360 1706 l 3360 1705 l 3540 1525 l 3469 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3442 1562 m 3442 1563 3443 1564 3443 1564 c 3443 1565 3443 1565 3443 1565 c 3431 1577 l 3430 1578 3430 1578 3429 1578 c 3429 1578 3428 1577 3428 1576 c 3427 1576 3426 1575 3426 1575 c 3426 1574 3426 1574 3427 1573 c 3439 1561 l 3439 1561 3439 1561 3439 1561 c 3439 1561 3439 1561 3440 1561 c 3440 1561 3440 1561 3441 1562 c 3441 1562 3441 1562 3442 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3467 1454 m 3466 1455 l 3288 1633 l 3288 1635 l 3289 1635 l 3360 1706 l 3360 1705 l 3540 1525 l 3469 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3482 1547 m 3482 1547 3483 1547 3483 1548 c 3483 1548 3483 1548 3483 1548 c 3483 1549 3483 1549 3483 1549 c 3483 1549 3483 1550 3483 1550 c 3463 1570 l 3462 1571 3462 1571 3462 1571 c 3462 1571 3461 1571 3461 1571 c 3461 1571 3460 1571 3460 1571 c 3460 1571 3459 1570 3459 1570 c 3458 1569 3458 1569 3458 1569 c 3458 1568 3457 1568 3457 1568 c 3457 1567 3457 1567 3457 1567 c 3457 1566 3457 1566 3457 1565 c 3457 1550 l 3457 1547 3456 1544 3456 1542 c 3456 1539 3455 1537 3455 1535 c 3454 1534 3453 1532 3453 1531 c 3452 1530 3451 1529 3450 1528 c 3449 1527 3449 1527 3448 1526 c 3446 1526 3445 1526 3444 1526 c 3443 1526 3442 1526 3441 1526 c 3440 1527 3439 1527 3438 1528 c 3437 1530 3436 1531 3435 1532 c 3434 1533 3434 1535 3434 1536 c 3433 1537 3433 1538 3433 1539 c 3433 1539 3433 1540 3432 1540 c 3432 1540 3432 1540 3432 1540 c 3432 1540 3431 1540 3431 1540 c 3431 1540 3431 1540 3430 1540 c 3430 1540 3430 1539 3429 1539 c 3429 1539 3429 1538 3429 1538 c 3428 1538 3428 1538 3428 1537 c 3428 1537 3428 1537 3428 1537 c 3428 1537 3428 1536 3428 1536 c 3428 1535 3428 1535 3428 1534 c 3428 1533 3429 1532 3429 1531 c 3430 1530 3430 1528 3431 1527 c 3432 1526 3433 1525 3434 1523 c 3436 1522 3438 1520 3440 1520 c 3441 1519 3443 1518 3445 1518 c 3447 1518 3449 1519 3450 1519 c 3452 1520 3453 1521 3454 1522 c 3456 1524 3457 1525 3458 1526 c 3459 1528 3460 1529 3460 1531 c 3461 1533 3461 1536 3462 1539 c 3462 1542 3462 1545 3462 1550 c 3463 1562 l 3479 1546 l 3479 1545 3479 1545 3479 1545 c 3480 1545 3480 1545 3480 1545 c 3480 1545 3481 1546 3481 1546 c 3481 1546 3482 1546 3482 1547 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3628 1454 m 3627 1455 l 3449 1633 l 3449 1635 l 3450 1635 l 3521 1706 l 3521 1705 l 3701 1525 l 3630 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3534 1590 m 3535 1590 3535 1591 3535 1591 c 3535 1591 3535 1591 3536 1592 c 3536 1592 3536 1592 3536 1592 c 3536 1593 3535 1593 3535 1593 c 3525 1603 l 3557 1635 l 3557 1636 3557 1636 3557 1636 c 3557 1636 3557 1636 3557 1637 c 3557 1637 3557 1637 3557 1638 c 3556 1638 3556 1638 3555 1639 c 3555 1639 3555 1640 3554 1640 c 3554 1640 3554 1640 3553 1641 c 3553 1641 3553 1641 3553 1641 c 3552 1641 3552 1641 3552 1640 c 3520 1608 l 3509 1619 l 3509 1619 3509 1619 3509 1619 c 3509 1619 3509 1619 3508 1619 c 3508 1619 3508 1619 3507 1618 c 3507 1618 3507 1618 3506 1618 c 3506 1617 3506 1617 3506 1617 c 3505 1616 3505 1616 3505 1616 c 3505 1615 3505 1615 3505 1615 c 3505 1615 3505 1615 3505 1614 c 3531 1589 l 3531 1589 3531 1588 3532 1588 c 3532 1588 3532 1588 3532 1588 c 3533 1589 3533 1589 3533 1589 c 3533 1589 3534 1589 3534 1590 c CP \r
+3598 1594 m 3598 1594 3598 1595 3598 1595 c 3599 1595 3599 1595 3598 1595 c 3598 1596 3598 1596 3598 1596 c 3597 1597 3597 1597 3596 1598 c 3596 1598 3596 1599 3595 1599 c 3595 1599 3595 1599 3594 1600 c 3594 1600 3594 1600 3593 1600 c 3593 1600 3593 1600 3593 1599 c 3580 1594 l 3579 1593 3578 1593 3576 1593 c 3575 1592 3574 1592 3573 1592 c 3572 1592 3570 1592 3569 1593 c 3568 1593 3567 1594 3566 1595 c 3563 1598 l 3578 1614 l 3579 1614 3579 1614 3579 1615 c 3579 1615 3579 1615 3579 1615 c 3578 1616 3578 1616 3578 1616 c 3578 1617 3577 1617 3577 1617 c 3576 1618 3576 1618 3576 1619 c 3575 1619 3575 1619 3575 1619 c 3574 1619 3574 1619 3574 1619 c 3574 1619 3574 1619 3573 1619 c 3539 1585 l 3538 1584 3538 1583 3538 1583 c 3538 1582 3538 1581 3539 1581 c 3547 1573 l 3548 1572 3549 1571 3549 1571 c 3550 1570 3551 1570 3551 1569 c 3553 1568 3554 1567 3556 1567 c 3558 1566 3559 1566 3561 1566 c 3562 1566 3564 1566 3565 1567 c 3567 1568 3568 1569 3569 1570 c 3571 1571 3572 1572 3572 1574 c 3573 1575 3573 1576 3573 1578 c 3574 1579 3573 1581 3573 1582 c 3573 1583 3572 1585 3572 1586 c 3572 1586 3573 1586 3574 1586 c 3575 1586 3576 1586 3577 1586 c 3578 1586 3579 1586 3580 1587 c 3581 1587 3583 1587 3584 1588 c 3595 1593 l 3596 1593 3597 1594 3597 1594 c 3598 1594 3598 1594 3598 1594 c CP \r
+3565 1576 m 3563 1574 3562 1573 3560 1573 c 3558 1573 3557 1573 3555 1574 c 3554 1574 3553 1575 3553 1575 c 3552 1576 3551 1577 3550 1578 c 3546 1582 l 3559 1594 l 3563 1590 l 3565 1588 3566 1587 3566 1586 c 3567 1584 3567 1583 3567 1582 c 3567 1581 3567 1580 3567 1579 c 3566 1578 3566 1577 3565 1576 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3628 1454 m 3627 1455 l 3449 1633 l 3449 1635 l 3450 1635 l 3521 1706 l 3521 1705 l 3701 1525 l 3630 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3603 1562 m 3603 1563 3604 1564 3604 1564 c 3604 1565 3604 1565 3604 1565 c 3592 1577 l 3591 1578 3591 1578 3590 1578 c 3590 1578 3589 1577 3589 1576 c 3588 1576 3587 1575 3587 1575 c 3587 1574 3587 1574 3588 1573 c 3600 1561 l 3600 1561 3600 1561 3600 1561 c 3600 1561 3601 1561 3601 1561 c 3601 1561 3601 1561 3602 1562 c 3602 1562 3602 1562 3603 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3628 1454 m 3627 1455 l 3449 1633 l 3449 1635 l 3450 1635 l 3521 1706 l 3521 1705 l 3701 1525 l 3630 1454 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3634 1536 m 3636 1537 3637 1539 3638 1541 c 3639 1543 3640 1545 3640 1548 c 3640 1550 3640 1552 3639 1554 c 3638 1557 3636 1559 3634 1561 c 3633 1562 3631 1564 3629 1564 c 3628 1565 3626 1566 3625 1566 c 3623 1566 3622 1566 3620 1565 c 3618 1565 3617 1564 3615 1563 c 3613 1562 3612 1561 3610 1560 c 3608 1558 3606 1557 3605 1555 c 3603 1553 3602 1552 3600 1550 c 3599 1548 3597 1546 3596 1544 c 3595 1542 3594 1540 3594 1538 c 3593 1536 3593 1534 3593 1532 c 3593 1530 3594 1528 3595 1526 c 3596 1523 3598 1521 3600 1519 c 3600 1518 3601 1518 3602 1517 c 3603 1516 3604 1516 3604 1515 c 3605 1515 3606 1515 3606 1514 c 3607 1514 3607 1514 3608 1514 c 3608 1514 3608 1514 3608 1514 c 3608 1514 3609 1514 3609 1514 c 3609 1514 3609 1514 3609 1515 c 3610 1515 3610 1515 3610 1515 c 3610 1516 3611 1516 3611 1516 c 3611 1516 3611 1517 3611 1517 c 3611 1517 3611 1517 3611 1517 c 3611 1518 3611 1518 3611 1518 c 3611 1518 3611 1518 3610 1519 c 3610 1519 3609 1519 3608 1520 c 3608 1520 3607 1520 3606 1521 c 3605 1522 3604 1522 3603 1523 c 3601 1525 3600 1527 3600 1529 c 3599 1531 3599 1533 3600 1535 c 3600 1537 3601 1539 3602 1541 c 3603 1543 3605 1545 3606 1547 c 3607 1546 3607 1545 3607 1544 c 3608 1543 3608 1543 3608 1542 c 3609 1541 3610 1540 3610 1539 c 3611 1538 3612 1537 3613 1536 c 3615 1534 3617 1532 3619 1532 c 3620 1531 3622 1530 3624 1530 c 3626 1531 3628 1531 3629 1532 c 3631 1533 3633 1534 3634 1536 c CP \r
+3630 1541 m 3629 1540 3627 1539 3626 1539 c 3625 1538 3624 1537 3623 1537 c 3622 1537 3621 1537 3619 1538 c 3618 1538 3617 1539 3616 1541 c 3615 1541 3614 1542 3614 1543 c 3613 1544 3613 1545 3612 1545 c 3612 1546 3611 1547 3611 1548 c 3611 1549 3611 1550 3610 1551 c 3613 1553 3615 1555 3617 1556 c 3619 1558 3621 1559 3622 1559 c 3624 1559 3625 1559 3627 1559 c 3628 1558 3629 1558 3631 1556 c 3632 1555 3633 1554 3633 1553 c 3634 1551 3634 1550 3633 1549 c 3633 1547 3633 1546 3632 1545 c 3632 1543 3631 1542 3630 1541 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3790 1453 m 3789 1454 l 3610 1633 l 3610 1635 l 3611 1635 l 3682 1706 l 3682 1705 l 3861 1526 l 3862 1524 l 3791 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3695 1590 m 3696 1590 3696 1591 3696 1591 c 3696 1591 3697 1591 3697 1592 c 3697 1592 3697 1592 3697 1592 c 3697 1593 3696 1593 3696 1593 c 3686 1603 l 3718 1635 l 3718 1636 3718 1636 3718 1636 c 3718 1636 3718 1636 3718 1637 c 3718 1637 3718 1637 3718 1638 c 3717 1638 3717 1638 3716 1639 c 3716 1639 3716 1640 3715 1640 c 3715 1640 3715 1640 3714 1641 c 3714 1641 3714 1641 3714 1641 c 3713 1641 3713 1641 3713 1640 c 3681 1608 l 3671 1619 l 3670 1619 3670 1619 3670 1619 c 3670 1619 3670 1619 3669 1619 c 3669 1619 3669 1619 3669 1618 c 3668 1618 3668 1618 3667 1618 c 3667 1617 3667 1617 3667 1617 c 3666 1616 3666 1616 3666 1616 c 3666 1615 3666 1615 3666 1615 c 3666 1615 3666 1615 3666 1614 c 3692 1589 l 3692 1589 3692 1588 3693 1588 c 3693 1588 3693 1588 3693 1588 c 3694 1589 3694 1589 3694 1589 c 3695 1589 3695 1589 3695 1590 c CP \r
+3759 1594 m 3759 1594 3759 1595 3760 1595 c 3760 1595 3760 1595 3759 1595 c 3759 1596 3759 1596 3759 1596 c 3759 1597 3758 1597 3758 1598 c 3757 1598 3757 1599 3756 1599 c 3756 1599 3756 1599 3755 1600 c 3755 1600 3755 1600 3754 1600 c 3754 1600 3754 1600 3754 1599 c 3741 1594 l 3740 1593 3739 1593 3738 1593 c 3736 1592 3735 1592 3734 1592 c 3733 1592 3731 1592 3730 1593 c 3729 1593 3728 1594 3727 1595 c 3724 1598 l 3739 1614 l 3740 1614 3740 1614 3740 1615 c 3740 1615 3740 1615 3740 1615 c 3739 1616 3739 1616 3739 1616 c 3739 1617 3738 1617 3738 1617 c 3737 1618 3737 1618 3737 1619 c 3736 1619 3736 1619 3736 1619 c 3735 1619 3735 1619 3735 1619 c 3735 1619 3735 1619 3734 1619 c 3700 1585 l 3699 1584 3699 1583 3699 1583 c 3699 1582 3700 1581 3700 1581 c 3708 1573 l 3709 1572 3710 1571 3710 1571 c 3711 1570 3712 1570 3712 1569 c 3714 1568 3715 1567 3717 1567 c 3719 1566 3720 1566 3722 1566 c 3723 1566 3725 1566 3726 1567 c 3728 1568 3729 1569 3730 1570 c 3732 1571 3733 1572 3733 1574 c 3734 1575 3734 1576 3734 1578 c 3735 1579 3734 1581 3734 1582 c 3734 1583 3733 1585 3733 1586 c 3733 1586 3734 1586 3735 1586 c 3736 1586 3737 1586 3738 1586 c 3739 1586 3740 1586 3741 1587 c 3742 1587 3744 1587 3745 1588 c 3757 1593 l 3757 1593 3758 1594 3758 1594 c 3759 1594 3759 1594 3759 1594 c CP \r
+3726 1576 m 3724 1574 3723 1573 3721 1573 c 3719 1573 3718 1573 3716 1574 c 3715 1574 3714 1575 3714 1575 c 3713 1576 3712 1577 3711 1578 c 3707 1582 l 3720 1594 l 3724 1590 l 3726 1588 3727 1587 3727 1586 c 3728 1584 3728 1583 3728 1582 c 3728 1581 3728 1580 3728 1579 c 3727 1578 3727 1577 3726 1576 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3790 1453 m 3789 1454 l 3610 1633 l 3610 1635 l 3611 1635 l 3682 1706 l 3682 1705 l 3861 1526 l 3862 1524 l 3791 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3764 1562 m 3764 1563 3765 1564 3765 1564 c 3765 1565 3765 1565 3765 1565 c 3753 1577 l 3752 1578 3752 1578 3751 1578 c 3751 1578 3750 1577 3750 1576 c 3749 1576 3748 1575 3748 1575 c 3748 1574 3748 1574 3749 1573 c 3761 1561 l 3761 1561 3761 1561 3761 1561 c 3761 1561 3762 1561 3762 1561 c 3762 1561 3762 1561 3763 1562 c 3763 1562 3763 1562 3764 1562 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3790 1453 m 3789 1454 l 3610 1633 l 3610 1635 l 3611 1635 l 3682 1706 l 3682 1705 l 3861 1526 l 3862 1524 l 3791 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3798 1538 m 3799 1540 3800 1542 3801 1543 c 3802 1545 3802 1547 3802 1549 c 3802 1551 3801 1553 3800 1555 c 3799 1557 3797 1559 3795 1561 c 3793 1563 3791 1565 3789 1566 c 3787 1567 3785 1568 3784 1568 c 3782 1568 3780 1568 3778 1567 c 3777 1567 3775 1566 3774 1564 c 3772 1563 3771 1562 3771 1560 c 3770 1559 3770 1558 3770 1556 c 3770 1555 3770 1553 3770 1551 c 3770 1549 3771 1547 3772 1546 c 3770 1546 3768 1546 3767 1547 c 3765 1547 3764 1547 3762 1547 c 3761 1547 3760 1546 3759 1546 c 3757 1545 3756 1544 3755 1543 c 3754 1542 3753 1541 3752 1539 c 3752 1537 3751 1536 3751 1534 c 3751 1532 3752 1530 3753 1528 c 3754 1526 3755 1524 3757 1522 c 3759 1521 3761 1519 3763 1518 c 3765 1517 3766 1517 3768 1517 c 3770 1517 3771 1517 3773 1517 c 3774 1518 3776 1519 3777 1520 c 3778 1521 3779 1522 3779 1523 c 3780 1525 3780 1526 3780 1527 c 3781 1529 3781 1530 3780 1532 c 3780 1533 3780 1535 3779 1537 c 3781 1536 3783 1536 3785 1535 c 3787 1535 3788 1535 3790 1535 c 3791 1535 3793 1535 3794 1536 c 3795 1536 3797 1537 3798 1538 c CP \r
+3772 1526 m 3772 1525 3771 1524 3770 1524 c 3769 1523 3768 1523 3767 1523 c 3766 1523 3765 1524 3764 1524 c 3763 1525 3762 1526 3761 1527 c 3759 1529 3758 1531 3758 1533 c 3757 1535 3758 1536 3760 1538 c 3761 1539 3761 1539 3762 1540 c 3763 1540 3764 1540 3765 1540 c 3766 1540 3768 1540 3769 1540 c 3770 1540 3772 1539 3774 1539 c 3775 1536 3775 1533 3775 1531 c 3775 1529 3774 1527 3772 1526 c CP \r
+3793 1544 m 3792 1543 3791 1542 3790 1542 c 3789 1542 3788 1541 3787 1541 c 3786 1541 3784 1542 3783 1542 c 3781 1542 3779 1543 3777 1544 c 3777 1545 3776 1547 3776 1549 c 3776 1550 3775 1551 3775 1553 c 3776 1554 3776 1555 3776 1556 c 3777 1557 3777 1558 3778 1559 c 3780 1561 3782 1561 3784 1561 c 3787 1561 3789 1559 3791 1557 c 3794 1555 3795 1552 3795 1550 c 3796 1548 3795 1546 3793 1544 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3951 1453 m 3950 1454 l 3741 1663 l 3812 1734 l 3814 1735 l 3814 1734 l 4022 1526 l 4023 1524 l 3952 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3827 1620 m 3827 1620 3827 1620 3827 1621 c 3828 1621 3828 1621 3828 1621 c 3828 1622 3828 1622 3828 1622 c 3828 1622 3828 1623 3828 1623 c 3817 1633 l 3849 1665 l 3849 1665 3850 1666 3850 1666 c 3850 1666 3850 1666 3849 1666 c 3849 1667 3849 1667 3849 1667 c 3849 1668 3848 1668 3848 1669 c 3847 1669 3847 1669 3847 1670 c 3846 1670 3846 1670 3846 1670 c 3845 1670 3845 1671 3845 1670 c 3845 1670 3845 1670 3844 1670 c 3812 1638 l 3802 1648 l 3802 1649 3801 1649 3801 1649 c 3801 1649 3801 1649 3801 1649 c 3800 1649 3800 1648 3800 1648 c 3799 1648 3799 1648 3799 1647 c 3798 1647 3798 1647 3798 1646 c 3798 1646 3797 1646 3797 1645 c 3797 1645 3797 1645 3797 1645 c 3797 1645 3797 1644 3798 1644 c 3823 1618 l 3824 1618 3824 1618 3824 1618 c 3824 1618 3824 1618 3825 1618 c 3825 1618 3825 1618 3825 1619 c 3826 1619 3826 1619 3827 1620 c CP \r
+3890 1624 m 3891 1624 3891 1624 3891 1625 c 3891 1625 3891 1625 3891 1625 c 3891 1625 3890 1626 3890 1626 c 3890 1627 3889 1627 3889 1628 c 3888 1628 3888 1629 3887 1629 c 3887 1629 3887 1629 3887 1629 c 3886 1629 3886 1629 3886 1629 c 3885 1629 3885 1629 3885 1629 c 3873 1624 l 3871 1623 3870 1623 3869 1622 c 3868 1622 3866 1622 3865 1622 c 3864 1622 3863 1622 3862 1622 c 3860 1623 3859 1624 3858 1625 c 3855 1628 l 3871 1644 l 3871 1644 3871 1644 3871 1644 c 3871 1645 3871 1645 3871 1645 c 3871 1645 3871 1646 3870 1646 c 3870 1646 3870 1647 3869 1647 c 3869 1648 3868 1648 3868 1648 c 3868 1649 3867 1649 3867 1649 c 3867 1649 3866 1649 3866 1649 c 3866 1649 3866 1649 3866 1649 c 3831 1614 l 3831 1614 3830 1613 3830 1612 c 3831 1612 3831 1611 3831 1611 c 3839 1603 l 3840 1602 3841 1601 3842 1600 c 3842 1600 3843 1599 3843 1599 c 3845 1598 3847 1597 3848 1596 c 3850 1596 3852 1596 3853 1596 c 3855 1596 3856 1596 3858 1597 c 3859 1597 3860 1598 3862 1600 c 3863 1601 3864 1602 3865 1604 c 3865 1605 3866 1606 3866 1608 c 3866 1609 3866 1610 3865 1612 c 3865 1613 3865 1615 3864 1616 c 3865 1616 3866 1616 3867 1616 c 3867 1615 3868 1615 3869 1616 c 3870 1616 3871 1616 3873 1616 c 3874 1617 3875 1617 3876 1618 c 3888 1623 l 3889 1623 3889 1623 3890 1624 c 3890 1624 3890 1624 3890 1624 c CP \r
+3857 1605 m 3856 1604 3854 1603 3852 1603 c 3851 1602 3849 1603 3847 1604 c 3846 1604 3846 1605 3845 1605 c 3844 1606 3844 1606 3843 1607 c 3838 1612 l 3851 1624 l 3856 1619 l 3857 1618 3858 1617 3859 1615 c 3859 1614 3860 1613 3860 1612 c 3860 1611 3860 1609 3859 1608 c 3859 1607 3858 1606 3857 1605 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3951 1453 m 3950 1454 l 3741 1663 l 3812 1734 l 3814 1735 l 3814 1734 l 4022 1526 l 4023 1524 l 3952 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3895 1592 m 3896 1593 3896 1594 3896 1594 c 3896 1594 3896 1595 3896 1595 c 3884 1607 l 3884 1608 3883 1608 3883 1607 c 3882 1607 3882 1607 3881 1606 c 3880 1605 3880 1605 3880 1604 c 3880 1604 3880 1604 3880 1603 c 3892 1591 l 3892 1591 3892 1591 3892 1591 c 3893 1591 3893 1591 3893 1591 c 3893 1591 3894 1591 3894 1591 c 3894 1592 3895 1592 3895 1592 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 3951 1453 m 3950 1454 l 3741 1663 l 3812 1734 l 3814 1735 l 3814 1734 l 4022 1526 l 4023 1524 l 3952 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3936 1576 m 3936 1577 3936 1577 3937 1577 c 3937 1578 3937 1578 3937 1578 c 3937 1579 3937 1579 3937 1579 c 3937 1579 3937 1579 3937 1579 c 3917 1599 l 3917 1599 3917 1599 3917 1599 c 3917 1599 3916 1599 3916 1599 c 3916 1599 3916 1599 3915 1599 c 3915 1599 3915 1598 3914 1598 c 3914 1598 3914 1597 3913 1597 c 3913 1597 3913 1596 3913 1596 c 3913 1596 3913 1596 3913 1595 c 3913 1595 3913 1595 3913 1595 c 3921 1587 l 3893 1559 l 3890 1570 l 3890 1571 3890 1571 3889 1572 c 3889 1572 3889 1572 3889 1572 c 3888 1572 3888 1572 3888 1572 c 3888 1571 3887 1571 3887 1571 c 3886 1570 3886 1570 3886 1570 c 3886 1569 3886 1569 3885 1569 c 3885 1569 3885 1569 3885 1568 c 3885 1568 3885 1568 3885 1568 c 3888 1554 l 3888 1553 3889 1553 3889 1553 c 3889 1553 3889 1553 3889 1553 c 3889 1552 3889 1552 3889 1552 c 3890 1552 3890 1551 3890 1551 c 3891 1551 3891 1550 3891 1550 c 3892 1550 3892 1550 3892 1549 c 3893 1549 3893 1549 3893 1549 c 3893 1549 3893 1550 3893 1550 c 3926 1582 l 3933 1575 l 3933 1575 3933 1575 3933 1575 c 3933 1575 3934 1575 3934 1575 c 3934 1575 3934 1575 3935 1576 c 3935 1576 3935 1576 3936 1576 c CP \r
+3950 1529 m 3953 1532 3955 1535 3957 1537 c 3959 1540 3960 1543 3961 1546 c 3961 1548 3961 1551 3961 1554 c 3960 1556 3958 1559 3956 1561 c 3953 1564 3951 1565 3949 1566 c 3946 1567 3944 1567 3941 1566 c 3939 1566 3936 1564 3933 1562 c 3930 1560 3927 1558 3924 1555 c 3922 1552 3919 1549 3917 1546 c 3915 1543 3914 1541 3913 1538 c 3913 1535 3913 1533 3914 1530 c 3914 1527 3916 1525 3918 1522 c 3921 1520 3923 1519 3926 1518 c 3928 1517 3930 1517 3933 1518 c 3936 1518 3938 1519 3941 1521 c 3944 1523 3947 1526 3950 1529 c CP \r
+3945 1534 m 3943 1532 3942 1531 3940 1530 c 3938 1528 3937 1527 3935 1526 c 3934 1525 3933 1525 3932 1524 c 3930 1524 3929 1524 3928 1524 c 3927 1524 3926 1524 3925 1525 c 3924 1525 3923 1526 3922 1527 c 3921 1528 3920 1530 3919 1532 c 3919 1534 3919 1535 3920 1537 c 3921 1539 3922 1541 3924 1543 c 3925 1545 3927 1547 3929 1549 c 3932 1552 3934 1554 3937 1556 c 3939 1558 3941 1559 3943 1559 c 3945 1560 3946 1560 3948 1560 c 3949 1559 3951 1558 3952 1557 c 3953 1556 3954 1555 3954 1554 c 3955 1553 3955 1551 3955 1550 c 3955 1549 3955 1548 3954 1546 c 3954 1545 3953 1544 3952 1542 c 3951 1541 3950 1540 3949 1538 c 3948 1537 3947 1536 3945 1534 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 4112 1453 m 4111 1454 l 3902 1663 l 3973 1734 l 3975 1735 l 3975 1734 l 4183 1526 l 4184 1524 l 4113 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 3988 1620 m 3988 1620 3988 1620 3988 1621 c 3989 1621 3989 1621 3989 1621 c 3989 1622 3989 1622 3989 1622 c 3989 1622 3989 1623 3989 1623 c 3978 1633 l 4010 1665 l 4011 1665 4011 1666 4011 1666 c 4011 1666 4011 1666 4011 1666 c 4010 1667 4010 1667 4010 1667 c 4010 1668 4009 1668 4009 1669 c 4008 1669 4008 1669 4008 1670 c 4007 1670 4007 1670 4007 1670 c 4006 1670 4006 1671 4006 1670 c 4006 1670 4006 1670 4005 1670 c 3973 1638 l 3963 1648 l 3963 1649 3963 1649 3962 1649 c 3962 1649 3962 1649 3962 1649 c 3961 1649 3961 1648 3961 1648 c 3961 1648 3960 1648 3960 1647 c 3959 1647 3959 1647 3959 1646 c 3959 1646 3959 1646 3958 1645 c 3958 1645 3958 1645 3958 1645 c 3958 1645 3959 1644 3959 1644 c 3984 1618 l 3985 1618 3985 1618 3985 1618 c 3985 1618 3985 1618 3986 1618 c 3986 1618 3986 1618 3987 1619 c 3987 1619 3987 1619 3988 1620 c CP \r
+4052 1624 m 4052 1624 4052 1624 4052 1625 c 4052 1625 4052 1625 4052 1625 c 4052 1625 4051 1626 4051 1626 c 4051 1627 4050 1627 4050 1628 c 4049 1628 4049 1629 4049 1629 c 4048 1629 4048 1629 4048 1629 c 4047 1629 4047 1629 4047 1629 c 4047 1629 4046 1629 4046 1629 c 4034 1624 l 4032 1623 4031 1623 4030 1622 c 4029 1622 4027 1622 4026 1622 c 4025 1622 4024 1622 4023 1622 c 4022 1623 4020 1624 4019 1625 c 4016 1628 l 4032 1644 l 4032 1644 4032 1644 4032 1644 c 4032 1645 4032 1645 4032 1645 c 4032 1645 4032 1646 4031 1646 c 4031 1646 4031 1647 4030 1647 c 4030 1648 4029 1648 4029 1648 c 4029 1649 4028 1649 4028 1649 c 4028 1649 4028 1649 4027 1649 c 4027 1649 4027 1649 4027 1649 c 3992 1614 l 3992 1614 3991 1613 3992 1612 c 3992 1612 3992 1611 3992 1611 c 4000 1603 l 4001 1602 4002 1601 4003 1600 c 4003 1600 4004 1599 4004 1599 c 4006 1598 4008 1597 4009 1596 c 4011 1596 4013 1596 4014 1596 c 4016 1596 4017 1596 4019 1597 c 4020 1597 4021 1598 4023 1600 c 4024 1601 4025 1602 4026 1604 c 4026 1605 4027 1606 4027 1608 c 4027 1609 4027 1610 4026 1612 c 4026 1613 4026 1615 4025 1616 c 4026 1616 4027 1616 4028 1616 c 4029 1615 4029 1615 4030 1616 c 4031 1616 4033 1616 4034 1616 c 4035 1617 4036 1617 4037 1618 c 4049 1623 l 4050 1623 4050 1623 4051 1624 c 4051 1624 4051 1624 4052 1624 c CP \r
+4018 1605 m 4017 1604 4015 1603 4013 1603 c 4012 1602 4010 1603 4008 1604 c 4007 1604 4007 1605 4006 1605 c 4005 1606 4005 1606 4004 1607 c 3999 1612 l 4012 1624 l 4017 1619 l 4018 1618 4019 1617 4020 1615 c 4020 1614 4021 1613 4021 1612 c 4021 1611 4021 1609 4020 1608 c 4020 1607 4019 1606 4018 1605 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 4112 1453 m 4111 1454 l 3902 1663 l 3973 1734 l 3975 1735 l 3975 1734 l 4183 1526 l 4184 1524 l 4113 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 4056 1592 m 4057 1593 4057 1594 4057 1594 c 4057 1594 4057 1595 4057 1595 c 4045 1607 l 4045 1608 4044 1608 4044 1607 c 4043 1607 4043 1607 4042 1606 c 4041 1605 4041 1605 4041 1604 c 4041 1604 4041 1604 4041 1603 c 4053 1591 l 4053 1591 4053 1591 4054 1591 c 4054 1591 4054 1591 4054 1591 c 4054 1591 4055 1591 4055 1591 c 4055 1592 4056 1592 4056 1592 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 4112 1453 m 4111 1454 l 3902 1663 l 3973 1734 l 3975 1735 l 3975 1734 l 4183 1526 l 4184 1524 l 4113 1453 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 4097 1576 m 4097 1577 4097 1577 4098 1577 c 4098 1578 4098 1578 4098 1578 c 4098 1579 4098 1579 4098 1579 c 4098 1579 4098 1579 4098 1579 c 4078 1599 l 4078 1599 4078 1599 4078 1599 c 4078 1599 4077 1599 4077 1599 c 4077 1599 4077 1599 4076 1599 c 4076 1599 4076 1598 4075 1598 c 4075 1598 4075 1597 4075 1597 c 4074 1597 4074 1596 4074 1596 c 4074 1596 4074 1596 4074 1595 c 4074 1595 4074 1595 4074 1595 c 4082 1587 l 4054 1559 l 4051 1570 l 4051 1571 4051 1571 4050 1572 c 4050 1572 4050 1572 4050 1572 c 4050 1572 4049 1572 4049 1572 c 4049 1571 4048 1571 4048 1571 c 4047 1570 4047 1570 4047 1570 c 4047 1569 4047 1569 4047 1569 c 4046 1569 4046 1569 4046 1568 c 4046 1568 4046 1568 4046 1568 c 4049 1554 l 4050 1553 4050 1553 4050 1553 c 4050 1553 4050 1553 4050 1553 c 4050 1552 4050 1552 4050 1552 c 4051 1552 4051 1551 4051 1551 c 4052 1551 4052 1550 4053 1550 c 4053 1550 4053 1550 4053 1549 c 4054 1549 4054 1549 4054 1549 c 4054 1549 4054 1550 4054 1550 c 4087 1582 l 4094 1575 l 4094 1575 4094 1575 4094 1575 c 4094 1575 4095 1575 4095 1575 c 4095 1575 4095 1575 4096 1576 c 4096 1576 4096 1576 4097 1576 c CP \r
+4119 1537 m 4120 1537 4120 1538 4121 1538 c 4121 1539 4121 1539 4120 1540 c 4116 1544 l 4124 1552 l 4124 1552 4124 1552 4124 1552 c 4124 1552 4124 1553 4124 1553 c 4124 1553 4124 1554 4123 1554 c 4123 1554 4123 1555 4122 1555 c 4122 1556 4121 1556 4121 1556 c 4121 1557 4120 1557 4120 1557 c 4120 1557 4120 1557 4119 1557 c 4119 1557 4119 1557 4119 1557 c 4111 1549 l 4096 1564 l 4096 1564 4096 1564 4095 1565 c 4095 1565 4095 1565 4095 1565 c 4094 1565 4094 1565 4094 1564 c 4093 1564 4093 1564 4093 1563 c 4092 1563 4092 1563 4092 1562 c 4091 1562 4091 1562 4091 1561 c 4091 1561 4091 1561 4090 1560 c 4090 1560 4090 1560 4090 1559 c 4081 1524 l 4081 1523 4081 1523 4081 1523 c 4081 1522 4081 1522 4081 1522 c 4081 1521 4082 1521 4082 1521 c 4083 1520 4083 1520 4084 1519 c 4084 1518 4085 1518 4085 1517 c 4086 1517 4086 1517 4087 1516 c 4087 1516 4087 1516 4088 1516 c 4088 1516 4088 1516 4088 1516 c 4112 1540 l 4116 1536 l 4117 1535 4117 1535 4118 1535 c 4118 1536 4119 1536 4119 1537 c CP \r
+4087 1525 m 4087 1525 l 4095 1557 l 4107 1545 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 0 500 m 4758 500 l 4758 1807 l 0 1807 l CP \r
+eoclip\r
+0.5254 0.5254 0.5254 SC\r
+NP 509 500 m 509 498 511 496 513 496 c 4271 496 l 4274 496 4275 498 4275 500 c 4275 1791 l 4275 1793 4274 1795 4271 1795 c 513 1795 l 511 1795 509 1793 509 1791 c CP \r
+517 1791 m 513 1787 l 4271 1787 l 4267 1791 l 4267 500 l 4271 505 l 513 505 l 517 500 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+1 1 1 SC\r
+NP 2649 595 m 3319 595 l 3319 752 l 2649 752 l CP \r
+eofill\r
+GSE\r
+GpPBeg1\r
+0 0 0 SC\r
+NP 2641 595 m 2641 590 2644 587 2649 587 c 3319 587 l 3323 587 3327 590 3327 595 c 3327 752 l 3327 756 3323 760 3319 760 c 2649 760 l 2644 760 2641 756 2641 752 c CP \r
+2657 752 m 2649 743 l 3319 743 l 3310 752 l 3310 595 l 3319 603 l 2649 603 l 2657 595 l CP \r
+fill\r
+GSE\r
+\r
+%%EndDocument\r
+\r
+Pscript_WinNT_Compat dup /suspend get exec\r
+Pscript_WinNT_Incr dup /resume get exec\r
+/DeviceGray dup setcolorspace /colspABC exch def\r
+0 0 scol 94959 VM?\r
+-0.516 -0.305 1.238 0.969\r
+ 256 array 0 1 255 {1 index exch /.notdef put} for  /TT15Et00\r
+Type42DictBegin\r
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+/TT15Et00 findfont /Encoding get\r
+dup 1 /g4 put\r
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+dup 5 /g3 put\r
+dup 6 /g894 put\r
+dup 7 /g62 put\r
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+pop\r
+ /TT15Et00 /Font G2UBegin\r
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+G2UEnd\r
+F /F1 0 /0 F /TT15Et00 mF \r
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+LH\r
+(%%[Page: 1]%%) = \r
+%%PageTrailer\r
+\r
+%%Trailer\r
+%%BoundingBox: 71 614 524 771\r
+%%DocumentNeededResources: \r
+%%DocumentSuppliedResources: \r
+%%+ procset Pscript_WinNT_ErrorHandler 5.0 0\r
+%%+ procset Pscript_FatalError 5.0 0\r
+%%+ procset Pscript_Win_Basic 5.0 0\r
+%%+ procset Pscript_Win_Utils_L2 5.0 0\r
+%%+ procset Pscript_T42Hdr 5.0 0\r
+%%+ procset Pscript_Text 5.0 0\r
+%%+ procset Pscript_WinNT_Compat 5.0 0\r
+Pscript_WinNT_Incr dup /terminate get exec\r
+ehsave restore\r
+%%Pages: 1\r
+(%%[LastPage]%%) = \r
+%%EOF\r
+\ 4\e%-12345X@PJL EOJ\r
+\e%-12345X\r

diff --git a/img3-eps-converted-to.pdf b/img3-eps-converted-to.pdf
new file mode 100644 (file)
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diff --git a/img3.eps b/img3.eps
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--- /dev/null
+++ b/img3.eps
@@ -0,0 +1,4816 @@
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+2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b\r
+2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b\r
+2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b\r
+2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b\r
+2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b\r
+2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b\r
+2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b\r
+2b185f5e00>\r
+[16133 16057 16201 16317 16377 15605 16377 15853 16241 16097 16073 16353 16213\r
+16269 15957 16225 16309 16261 16365 16357 16333 16029 16341 15365 15925 16361\r
+16717 ] AllocGlyphStorage\r
+]def \r
+108 44 \r
+PrepFor2015\r
+AddFontInfoBegin\r
+AddFontInfo\r
+/OrigFontType /TrueType def \r
+/OrigFontName <43616C69627269> def\r
+/OrigFontStyle () def\r
+/FSType 8 def\r
+AddFontInfoEnd\r
+[16#2c 16#e058100d ] AddXUID\r
+Type42DictEnd\r
+\r
+2 0 3 <> /TT15Ct00 AddT42Char \r
+2 0 0 <00050000fe7303d2050e000300070039004d004e005bbc000d0152001600\r
+3a01b5b5154444082d07be0143000200200154000800010143400f04020d\r
+b71a1a3f23b735068d031149b8012db43f078d0202003ffddefdce2ffdde\r
+ed12392fed012fdde1dee110f1ce11392f33e1d4e1313001112111011121\r
+1101140e020707140623222e02352726363333323e0235342623220e0223\r
+222e02353436373e0333321e0203140e0223222e0235343e0233321e0201\r
+03d2fc5a034ffd06027e233f5633051e1a0f140d0605021c18122d3c2510\r
+535b253c2e1d0703070603050807283742224b6c4522da07111d15161d12\r
+0808121d16151d1107fddb050efaf2050efb43046cfb9403063b5c3f2403\r
+980a0802040606b81e18192a3b2149560f1310040b13101116080712110c\r
+28445cfd86151c120808121c15151d120808121dfd4d>/TT15Ct00 AddT42Char \r
+/TT15Ct00 findfont /CharStrings get begin\r
+/g3 3 def\r
+/.notdef 0 def\r
+end\r
+/TT15Ct00 findfont /Encoding get\r
+dup 1 /g3 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g3 <0020> def\r
+G2UEnd\r
+Pscript_WinNT_Incr begin\r
+%%BeginResource: file Pscript_Text 5.0 0\r
+/TextInit{TextInitialised? not{/Pscript_Windows_Font & d/TextInitialised? T d\r
+/fM[1 0 0 1 0 0]d/mFM matrix d/iMat[1 0 0.212557 1 0 0]d}if}b/copyfont{1 ^\r
+length add dict `{1 ^/FID ne{d}{! !}?}forall & E}b/EncodeDict 11 dict d/bullets\r
+{{/bullet}repeat}b/rF{3 copyfont @ ` ~ EncodeDict ~ get/Encoding ~ 3 ^/0 eq{&\r
+/CharStrings known{CharStrings/Eth known not{! EncodeDict/ANSIEncodingOld get}\r
+if}if}if d E}b/mF{@ 7 1 $ findfont ~{@/Encoding get @ StandardEncoding eq{! T}{\r
+{ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get\r
+StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{1 ^ ~ rF}{0 copyfont}? 6 -2 $\r
+! ! ~ !/pd_charset @ where{~ get 128 eq{@ FDV 2 copy get @ length array copy\r
+put pd_CoverFCRange}if}{!}? 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0 put fM\r
+makefont Pscript_Windows_Font 3 1 $ put}b/sLT{: Lw -M currentpoint snap M 0 - 0\r
+Lc K ;}b/xUP null d/yUP null d/uW null d/xSP null d/ySP null d/sW null d/sSU{N\r
+/uW ~ d/yUP ~ d/xUP ~ d}b/sU{xUP yUP uW sLT}b/sST{N/sW ~ d/ySP ~ d/xSP ~ d}b/sT\r
+{xSP ySP sW sLT}b/sR{: + R 0 0 M}b/sRxy{: matrix astore concat 0 0 M}b/eR/; , d\r
+/AddOrigFP{{&/FontInfo known{&/FontInfo get length 6 add}{6}? dict `\r
+/WinPitchAndFamily ~ d/WinCharSet ~ d/OrigFontType ~ d/OrigFontStyle ~ d\r
+/OrigFontName ~ d & E/FontInfo ~ d}{! ! ! ! !}?}b/mFS{makefont\r
+Pscript_Windows_Font 3 1 $ put}b/mF42D{0 copyfont `/FontName ~ d 2 copy ~ sub 1\r
+add dict `/.notdef 0 d 2 copy 1 ~{@ 3 ^ sub Encoding ~ get ~ d}for & E\r
+/CharStrings ~ d ! ! & @ E/FontName get ~ definefont}b/mF42{15 dict ` @ 4 1 $\r
+FontName ~ d/FontType 0 d/FMapType 2 d/FontMatrix[1 0 0 1 0 0]d 1 ^ 254 add 255\r
+idiv @ array/Encoding ~ d 0 1 3 -1 $ 1 sub{@ Encoding 3 1 $ put}for/FDepVector\r
+Encoding length array d/CharStrings 2 dict `/.notdef 0 d & E d 0 1 Encoding\r
+length 1 sub{@ @ 10 lt{! FontName length 1 add string}{100 lt{FontName length 2\r
+add string}{FontName length 3 add string}?}? @ 0 FontName @ length string cvs\r
+putinterval @ 3 -1 $ @ 4 1 $ 3 string cvs FontName length ~ putinterval cvn 1 ^\r
+256 mul @ 255 add 3 -1 $ 4 ^ findfont mF42D FDepVector 3 1 $ put}for & @ E\r
+/FontName get ~ definefont ! ! ! mF}b/mF_OTF_V{~ ! ~ ! 4 -1 $ ! findfont 2 ^ ~\r
+definefont fM @ @ 4 6 -1 $ neg put 5 0 put 90 matrix R matrix concatmatrix\r
+makefont Pscript_Windows_Font 3 1 $ put}b/mF_TTF_V{3{~ !}repeat 3 -1 $ !\r
+findfont 1 ^ ~ definefont Pscript_Windows_Font 3 1 $ put}b/UmF{L2?\r
+{Pscript_Windows_Font ~ undef}{!}?}b/UmF42{@ findfont/FDepVector get{/FontName\r
+get undefinefont}forall undefinefont}b\r
+%%EndResource\r
+end reinitialize\r
+F /F0 0 /0 F /TT15Ct00 mF \r
+/F0S5CYFFFFFFA4 F0 [92.324 0 0 -92 0 0 ] mFS\r
+F0S5CYFFFFFFA4 Ji \r
+4287 2013 M <01>S \r
+30000 VM?\r
+Pscript_WinNT_Incr begin\r
+%%BeginResource: file Pscript_WinNT_Compat 5.0 0\r
+userdict/Pscript_WinNT_Compat 19 dict dup begin/bd{bind def}bind def/ld{load\r
+def}bd/$x matrix def/ANSIVec[16#0/grave 16#1/acute 16#2/circumflex 16#3/tilde\r
+16#4/macron 16#5/breve 16#6/dotaccent 16#7/dieresis 16#8/ring 16#9/cedilla 16#A\r
+/hungarumlaut 16#B/ogonek 16#C/caron 16#D/dotlessi 16#27/quotesingle 16#60\r
+/grave 16#7C/bar 16#82/quotesinglbase 16#83/florin 16#84/quotedblbase 16#85\r
+/ellipsis 16#86/dagger 16#87/daggerdbl 16#88/circumflex 16#89/perthousand 16#8A\r
+/Scaron 16#8B/guilsinglleft 16#8C/OE 16#91/quoteleft 16#92/quoteright 16#93\r
+/quotedblleft 16#94/quotedblright 16#95/bullet 16#96/endash 16#97/emdash 16#98\r
+/tilde 16#99/trademark 16#9A/scaron 16#9B/guilsinglright 16#9C/oe 16#9F\r
+/Ydieresis 16#A0/space 16#A1/exclamdown 16#A4/currency 16#A5/yen 16#A6\r
+/brokenbar 16#A7/section 16#A8/dieresis 16#A9/copyright 16#AA/ordfeminine 16#AB\r
+/guillemotleft 16#AC/logicalnot 16#AD/hyphen 16#AE/registered 16#AF/macron\r
+16#B0/degree 16#B1/plusminus 16#B2/twosuperior 16#B3/threesuperior 16#B4/acute\r
+16#B5/mu 16#B6/paragraph 16#B7/periodcentered 16#B8/cedilla 16#B9/onesuperior\r
+16#BA/ordmasculine 16#BB/guillemotright 16#BC/onequarter 16#BD/onehalf 16#BE\r
+/threequarters 16#BF/questiondown 16#C0/Agrave 16#C1/Aacute 16#C2/Acircumflex\r
+16#C3/Atilde 16#C4/Adieresis 16#C5/Aring 16#C6/AE 16#C7/Ccedilla 16#C8/Egrave\r
+16#C9/Eacute 16#CA/Ecircumflex 16#CB/Edieresis 16#CC/Igrave 16#CD/Iacute 16#CE\r
+/Icircumflex 16#CF/Idieresis 16#D0/Eth 16#D1/Ntilde 16#D2/Ograve 16#D3/Oacute\r
+16#D4/Ocircumflex 16#D5/Otilde 16#D6/Odieresis 16#D7/multiply 16#D8/Oslash\r
+16#D9/Ugrave 16#DA/Uacute 16#DB/Ucircumflex 16#DC/Udieresis 16#DD/Yacute 16#DE\r
+/Thorn 16#DF/germandbls 16#E0/agrave 16#E1/aacute 16#E2/acircumflex 16#E3\r
+/atilde 16#E4/adieresis 16#E5/aring 16#E6/ae 16#E7/ccedilla 16#E8/egrave 16#E9\r
+/eacute 16#EA/ecircumflex 16#EB/edieresis 16#EC/igrave 16#ED/iacute 16#EE\r
+/icircumflex 16#EF/idieresis 16#F0/eth 16#F1/ntilde 16#F2/ograve 16#F3/oacute\r
+16#F4/ocircumflex 16#F5/otilde 16#F6/odieresis 16#F7/divide 16#F8/oslash 16#F9\r
+/ugrave 16#FA/uacute 16#FB/ucircumflex 16#FC/udieresis 16#FD/yacute 16#FE/thorn\r
+16#FF/ydieresis]def currentdict{dup type/operatortype eq{[exch]cvx def}{pop\r
+pop}ifelse}forall/initialize{currentdict exch begin begin}bind def/terminate{\r
+/@FL where not{pop end end}{pop}ifelse}bind def/suspend/terminate load def\r
+/resume/initialize load def/RS{/pagesave where{pop pagesave restore}{$x matrix\r
+invertmatrix concat}ifelse}def/SS{/pagesave save def}def/CB{pop pop pop pop}def\r
+/B{pop pop pop pop}def/:/gsave load def/;/grestore load def/N/newpath load def\r
+end put\r
+%%EndResource\r
+end reinitialize\r
+Pscript_WinNT_Compat begin /$x mysetup def end\r
+Pscript_WinNT_Incr dup /suspend get exec\r
+Pscript_WinNT_Compat dup /initialize get exec\r
+%%BeginDocument: Pscript_Win_PassThrough\r
+/languagelevel where {pop languagelevel} {1} ifelse\r
+2 ge dup {currentglobal exch true setglobal globaldict} {userdict} ifelse\r
+/GpPBeg1 {\r
+    gsave initclip\r
+    16 dict begin\r
+    /c {curveto} def /l {lineto} def /m {moveto} def\r
+    /rc {rcurveto} def /rl {rlineto} def\r
+    /NP {newpath} def /CP {closepath} def /SC {setrgbcolor} def\r
+    /GSE {end grestore} def\r
+} put\r
+{setglobal} if\r
+GpPBeg1\r
+NP 0 500 m 4758 500 l 4758 2031 l 0 2031 l CP \r
+eoclip\r
+1 1 1 SC\r
+NP 513 500 m 4271 500 l 4271 2014 l 513 2014 l CP \r
+eofill\r
+GSE\r
+GpPBeg1\r
+1 1 1 SC\r
+NP 809 593 m 4153 593 l 4153 1635 l 809 1635 l CP \r
+eofill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 809 1516 m 4153 1516 l 4153 1522 l 809 1522 l CP \r
+809 1400 m 4153 1400 l 4153 1406 l 809 1406 l CP \r
+809 1285 m 4153 1285 l 4153 1291 l 809 1291 l CP \r
+809 1169 m 4153 1169 l 4153 1175 l 809 1175 l CP \r
+809 1053 m 4153 1053 l 4153 1059 l 809 1059 l CP \r
+809 937 m 4153 937 l 4153 943 l 809 943 l CP \r
+809 822 m 4153 822 l 4153 828 l 809 828 l CP \r
+809 706 m 4153 706 l 4153 712 l 809 712 l CP \r
+809 590 m 4153 590 l 4153 596 l 809 596 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 806 1635 m 806 593 l 812 593 l 812 1635 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 782 1632 m 809 1632 l 809 1638 l 782 1638 l CP \r
+782 1516 m 809 1516 l 809 1522 l 782 1522 l CP \r
+782 1400 m 809 1400 l 809 1406 l 782 1406 l CP \r
+782 1285 m 809 1285 l 809 1291 l 782 1291 l CP \r
+782 1169 m 809 1169 l 809 1175 l 782 1175 l CP \r
+782 1053 m 809 1053 l 809 1059 l 782 1059 l CP \r
+782 937 m 809 937 l 809 943 l 782 943 l CP \r
+782 822 m 809 822 l 809 828 l 782 828 l CP \r
+782 706 m 809 706 l 809 712 l 782 712 l CP \r
+782 590 m 809 590 l 809 596 l 782 596 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 809 1632 m 4153 1632 l 4153 1638 l 809 1638 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.5254 0.5254 0.5254 SC\r
+NP 812 1635 m 812 1661 l 806 1661 l 806 1635 l CP \r
+894 1635 m 894 1661 l 888 1661 l 888 1635 l CP \r
+975 1635 m 975 1661 l 969 1661 l 969 1635 l CP \r
+1057 1635 m 1057 1661 l 1051 1661 l 1051 1635 l CP \r
+1138 1635 m 1138 1661 l 1132 1661 l 1132 1635 l CP \r
+1220 1635 m 1220 1661 l 1214 1661 l 1214 1635 l CP \r
+1301 1635 m 1301 1661 l 1295 1661 l 1295 1635 l CP \r
+1383 1635 m 1383 1661 l 1377 1661 l 1377 1635 l CP \r
+1464 1635 m 1464 1661 l 1458 1661 l 1458 1635 l CP \r
+1546 1635 m 1546 1661 l 1540 1661 l 1540 1635 l CP \r
+1628 1635 m 1628 1661 l 1622 1661 l 1622 1635 l CP \r
+1709 1635 m 1709 1661 l 1703 1661 l 1703 1635 l CP \r
+1791 1635 m 1791 1661 l 1785 1661 l 1785 1635 l CP \r
+1872 1635 m 1872 1661 l 1866 1661 l 1866 1635 l CP \r
+1954 1635 m 1954 1661 l 1948 1661 l 1948 1635 l CP \r
+2035 1635 m 2035 1661 l 2029 1661 l 2029 1635 l CP \r
+2117 1635 m 2117 1661 l 2111 1661 l 2111 1635 l CP \r
+2199 1635 m 2199 1661 l 2193 1661 l 2193 1635 l CP \r
+2280 1635 m 2280 1661 l 2274 1661 l 2274 1635 l CP \r
+2362 1635 m 2362 1661 l 2356 1661 l 2356 1635 l CP \r
+2443 1635 m 2443 1661 l 2437 1661 l 2437 1635 l CP \r
+2525 1635 m 2525 1661 l 2519 1661 l 2519 1635 l CP \r
+2606 1635 m 2606 1661 l 2600 1661 l 2600 1635 l CP \r
+2688 1635 m 2688 1661 l 2682 1661 l 2682 1635 l CP \r
+2769 1635 m 2769 1661 l 2763 1661 l 2763 1635 l CP \r
+2851 1635 m 2851 1661 l 2845 1661 l 2845 1635 l CP \r
+2933 1635 m 2933 1661 l 2927 1661 l 2927 1635 l CP \r
+3014 1635 m 3014 1661 l 3008 1661 l 3008 1635 l CP \r
+3096 1635 m 3096 1661 l 3090 1661 l 3090 1635 l CP \r
+3177 1635 m 3177 1661 l 3171 1661 l 3171 1635 l CP \r
+3259 1635 m 3259 1661 l 3253 1661 l 3253 1635 l CP \r
+3340 1635 m 3340 1661 l 3334 1661 l 3334 1635 l CP \r
+3422 1635 m 3422 1661 l 3416 1661 l 3416 1635 l CP \r
+3504 1635 m 3504 1661 l 3498 1661 l 3498 1635 l CP \r
+3585 1635 m 3585 1661 l 3579 1661 l 3579 1635 l CP \r
+3667 1635 m 3667 1661 l 3661 1661 l 3661 1635 l CP \r
+3748 1635 m 3748 1661 l 3742 1661 l 3742 1635 l CP \r
+3830 1635 m 3830 1661 l 3824 1661 l 3824 1635 l CP \r
+3911 1635 m 3911 1661 l 3905 1661 l 3905 1635 l CP \r
+3993 1635 m 3993 1661 l 3987 1661 l 3987 1635 l CP \r
+4074 1635 m 4074 1661 l 4068 1661 l 4068 1635 l CP \r
+4156 1635 m 4156 1661 l 4150 1661 l 4150 1635 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 809 593 m 4153 593 l 4153 1635 l 809 1635 l CP \r
+eoclip\r
+0.2901 0.4941 0.7333 SC\r
+NP 848 1626 m 930 1619 l 926 1620 l 1007 1569 l 1010 1567 1014 1568 1017 1570 c 1099 1628 l 1085 1634 l 1166 695 l 1166 691 1169 688 1173 687 c 1177 686 1181 688 1183 691 c 1265 834 l 1265 836 1266 837 1266 838 c 1347 1633 l 1338 1625 l 1420 1623 l 1502 1623 l 1583 1623 l 1665 1626 l 1746 1626 l 1737 1632 l 1819 1367 l 1821 1364 1824 1361 1828 1361 c 1832 1361 1835 1364 1837 1367 c 1918 1626 l 1910 1620 l 1992 1626 l 2073 1626 l 2154 1626 l 2236 1626 l 2317 1626 l 2399 1626 l 2481 1626 l 2562 1626 l 2555 1629 l 2637 1540 l 2639 1538 2641 1537 2644 1537 c 2646 1537 2649 1538 2651 1540 c 2732 1628 l 2716 1632 l 2798 1283 l 2799 1279 2803 1276 2807 1276 c 2811 1276 2815 1279 2816 1283 c 2897 1614 l 2881 1610 l 2963 1517 l 2966 1514 2971 1513 2975 1516 c 3057 1572 l 3055 1570 l 3136 1597 l 3218 1626 l 3209 1628 l 3290 1563 l 3294 1560 3298 1560 3302 1563 c 3384 1628 l 3378 1626 l 3459 1626 l 3541 1626 l 3623 1626 l 3704 1626 l 3786 1626 l 3867 1626 l 3949 1626 l 4030 1626 l 4112 1626 l 4117 1626 4121 1630 4121 1635 c 4121 1640 4117 1644 4112 1644 c 4030 1644 l 3949 1644 l 3867 1644 l 3786 1644 l 3704 1644 l 3623 1644 l 3541 1644 l 3459 1644 l 3378 1644 l 3376 1644 3374 1643 3372 1642 c 3290 1577 l 3302 1577 l 3221 1642 l 3218 1644 3215 1644 3212 1643 c 3130 1615 l 3049 1588 l 3048 1587 3048 1587 3047 1586 c 2965 1530 l 2977 1529 l 2895 1622 l 2893 1624 2889 1626 2886 1625 c 2883 1624 2880 1621 2879 1618 c 2798 1287 l 2816 1287 l 2734 1636 l 2733 1639 2730 1642 2727 1643 c 2724 1644 2721 1643 2718 1640 c 2637 1552 l 2651 1552 l 2569 1641 l 2567 1643 2564 1644 2562 1644 c 2481 1644 l 2399 1644 l 2317 1644 l 2236 1644 l 2154 1644 l 2073 1644 l 1990 1644 l 1908 1638 l 1905 1638 1901 1635 1900 1632 c 1819 1373 l 1837 1373 l 1755 1638 l 1753 1641 1750 1644 1746 1644 c 1665 1644 l 1583 1641 l 1502 1641 l 1420 1641 l 1338 1643 l 1333 1643 1329 1640 1329 1635 c 1248 840 l 1249 843 l 1167 700 l 1184 697 l 1103 1636 l 1103 1639 1101 1642 1098 1643 c 1095 1644 1091 1644 1089 1642 c 1007 1584 l 1017 1585 l 936 1636 l 935 1636 933 1637 932 1637 c 850 1644 l 845 1644 840 1641 840 1636 c 840 1631 843 1626 848 1626 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 849 1664 m 820 1635 l 849 1606 l 878 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 851 1666 m 849 1667 l 847 1666 l 818 1637 l 817 1635 l 818 1633 l 847 1604 l 849 1603 l 851 1604 l 880 1633 l 881 1635 l 880 1637 l CP \r
+876 1633 m 876 1637 l 847 1608 l 851 1608 l 822 1637 l 822 1633 l 851 1662 l 847 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 931 1657 m 902 1628 l 931 1598 l 960 1628 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 933 1659 m 929 1659 l 899 1630 l 899 1625 l 929 1596 l 931 1595 l 933 1596 l 962 1625 l 962 1630 l CP \r
+958 1625 m 958 1630 l 929 1600 l 933 1600 l 904 1630 l 904 1625 l 933 1655 l 929 1655 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1012 1606 m 983 1577 l 1012 1548 l 1041 1577 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1014 1608 m 1012 1609 l 1010 1608 l 981 1579 l 980 1577 l 981 1575 l 1010 1546 l 1012 1545 l 1014 1546 l 1044 1575 l 1045 1577 l 1044 1579 l CP \r
+1039 1575 m 1039 1579 l 1010 1550 l 1014 1550 l 985 1579 l 985 1575 l 1014 1604 l 1010 1604 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1094 1664 m 1065 1635 l 1094 1606 l 1123 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1096 1666 m 1094 1667 l 1092 1666 l 1063 1637 l 1062 1635 l 1063 1633 l 1092 1604 l 1094 1603 l 1096 1604 l 1125 1633 l 1126 1635 l 1125 1637 l CP \r
+1121 1633 m 1121 1637 l 1092 1608 l 1096 1608 l 1067 1637 l 1067 1633 l 1096 1662 l 1092 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1175 725 m 1146 696 l 1175 667 l 1205 696 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1178 727 m 1175 728 l 1173 727 l 1144 698 l 1143 696 l 1144 694 l 1173 665 l 1175 664 l 1178 665 l 1207 694 l 1208 696 l 1207 698 l CP \r
+1202 694 m 1202 698 l 1173 669 l 1178 669 l 1148 698 l 1148 694 l 1178 723 l 1173 723 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1257 868 m 1228 839 l 1257 810 l 1286 839 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1259 870 m 1257 871 l 1255 870 l 1226 841 l 1226 837 l 1255 808 l 1257 807 l 1259 808 l 1288 837 l 1288 841 l CP \r
+1284 837 m 1284 841 l 1255 812 l 1259 812 l 1230 841 l 1230 837 l 1259 866 l 1255 866 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1339 1663 m 1309 1634 l 1339 1605 l 1368 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1341 1665 m 1336 1665 l 1307 1636 l 1306 1634 l 1307 1632 l 1336 1603 l 1339 1602 l 1341 1603 l 1370 1632 l 1371 1634 l 1370 1636 l CP \r
+1366 1632 m 1366 1636 l 1336 1607 l 1341 1607 l 1312 1636 l 1312 1632 l 1341 1661 l 1336 1661 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1420 1661 m 1391 1632 l 1420 1603 l 1449 1632 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1422 1663 m 1420 1664 l 1418 1663 l 1389 1634 l 1388 1632 l 1389 1630 l 1418 1600 l 1420 1599 l 1422 1600 l 1451 1630 l 1452 1632 l 1451 1634 l CP \r
+1447 1630 m 1447 1634 l 1418 1605 l 1422 1605 l 1393 1634 l 1393 1630 l 1422 1659 l 1418 1659 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1502 1661 m 1473 1632 l 1502 1603 l 1531 1632 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1504 1663 m 1502 1664 l 1500 1663 l 1470 1634 l 1469 1632 l 1470 1630 l 1500 1600 l 1502 1599 l 1504 1600 l 1533 1630 l 1534 1632 l 1533 1634 l CP \r
+1529 1630 m 1529 1634 l 1500 1605 l 1504 1605 l 1475 1634 l 1475 1630 l 1504 1659 l 1500 1659 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1583 1661 m 1554 1632 l 1583 1603 l 1612 1632 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1585 1664 m 1581 1664 l 1552 1634 l 1552 1630 l 1581 1601 l 1585 1601 l 1615 1630 l 1615 1634 l CP \r
+1610 1630 m 1610 1634 l 1581 1605 l 1585 1605 l 1556 1634 l 1556 1630 l 1585 1659 l 1581 1659 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1665 1664 m 1636 1634 l 1665 1605 l 1694 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1667 1666 m 1663 1666 l 1634 1637 l 1633 1635 l 1634 1632 l 1663 1603 l 1667 1603 l 1696 1632 l 1697 1635 l 1696 1637 l CP \r
+1692 1632 m 1692 1637 l 1663 1607 l 1667 1607 l 1638 1637 l 1638 1632 l 1667 1662 l 1663 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1746 1664 m 1717 1635 l 1746 1606 l 1776 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1749 1666 m 1746 1667 l 1744 1666 l 1715 1637 l 1714 1635 l 1715 1633 l 1744 1604 l 1746 1603 l 1749 1604 l 1778 1633 l 1779 1635 l 1778 1637 l CP \r
+1773 1633 m 1773 1637 l 1744 1608 l 1749 1608 l 1719 1637 l 1719 1633 l 1749 1662 l 1744 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1828 1399 m 1799 1369 l 1828 1340 l 1857 1369 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1830 1401 m 1828 1402 l 1826 1401 l 1797 1372 l 1796 1369 l 1797 1367 l 1826 1338 l 1828 1337 l 1830 1338 l 1859 1367 l 1859 1372 l CP \r
+1855 1367 m 1855 1372 l 1826 1342 l 1830 1342 l 1801 1372 l 1801 1367 l 1830 1396 l 1826 1396 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1910 1658 m 1880 1629 l 1910 1600 l 1939 1629 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1912 1660 m 1907 1660 l 1878 1631 l 1878 1627 l 1907 1598 l 1910 1597 l 1912 1598 l 1941 1627 l 1941 1631 l CP \r
+1937 1627 m 1937 1631 l 1907 1602 l 1912 1602 l 1882 1631 l 1882 1627 l 1912 1656 l 1907 1656 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 1991 1664 m 1962 1635 l 1991 1606 l 2020 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 1993 1666 m 1991 1667 l 1989 1666 l 1960 1637 l 1959 1635 l 1960 1633 l 1989 1604 l 1991 1603 l 1993 1604 l 2022 1633 l 2023 1635 l 2022 1637 l CP \r
+2018 1633 m 2018 1637 l 1989 1608 l 1993 1608 l 1964 1637 l 1964 1633 l 1993 1662 l 1989 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2073 1664 m 2043 1635 l 2073 1606 l 2102 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2075 1666 m 2073 1667 l 2071 1666 l 2041 1637 l 2040 1635 l 2041 1633 l 2071 1604 l 2073 1603 l 2075 1604 l 2104 1633 l 2105 1635 l 2104 1637 l CP \r
+2100 1633 m 2100 1637 l 2071 1608 l 2075 1608 l 2046 1637 l 2046 1633 l 2075 1662 l 2071 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2154 1664 m 2125 1635 l 2154 1606 l 2183 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2156 1666 m 2154 1667 l 2152 1666 l 2123 1637 l 2123 1633 l 2152 1603 l 2154 1602 l 2156 1603 l 2186 1633 l 2186 1637 l CP \r
+2181 1633 m 2181 1637 l 2152 1608 l 2156 1608 l 2127 1637 l 2127 1633 l 2156 1662 l 2152 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2236 1664 m 2207 1635 l 2236 1606 l 2265 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2238 1666 m 2236 1667 l 2234 1666 l 2205 1637 l 2204 1635 l 2205 1633 l 2234 1604 l 2236 1603 l 2238 1604 l 2267 1633 l 2268 1635 l 2267 1637 l CP \r
+2263 1633 m 2263 1637 l 2234 1608 l 2238 1608 l 2209 1637 l 2209 1633 l 2238 1662 l 2234 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2317 1664 m 2288 1635 l 2317 1606 l 2347 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2319 1666 m 2317 1667 l 2315 1666 l 2286 1637 l 2285 1635 l 2286 1633 l 2315 1604 l 2317 1603 l 2319 1604 l 2349 1633 l 2350 1635 l 2349 1637 l CP \r
+2344 1633 m 2344 1637 l 2315 1608 l 2319 1608 l 2290 1637 l 2290 1633 l 2319 1662 l 2315 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2399 1664 m 2370 1635 l 2399 1606 l 2428 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2401 1666 m 2399 1667 l 2397 1666 l 2368 1637 l 2367 1635 l 2368 1633 l 2397 1604 l 2399 1603 l 2401 1604 l 2430 1633 l 2431 1635 l 2430 1637 l CP \r
+2426 1633 m 2426 1637 l 2397 1608 l 2401 1608 l 2372 1637 l 2372 1633 l 2401 1662 l 2397 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2480 1664 m 2451 1635 l 2480 1606 l 2510 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2483 1666 m 2481 1667 l 2478 1666 l 2449 1637 l 2449 1633 l 2478 1604 l 2481 1603 l 2483 1604 l 2512 1633 l 2512 1637 l CP \r
+2508 1633 m 2508 1637 l 2478 1608 l 2483 1608 l 2453 1637 l 2453 1633 l 2483 1662 l 2478 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2562 1664 m 2533 1635 l 2562 1606 l 2591 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2564 1666 m 2562 1667 l 2560 1666 l 2531 1637 l 2530 1635 l 2531 1633 l 2560 1604 l 2562 1603 l 2564 1604 l 2593 1633 l 2594 1635 l 2593 1637 l CP \r
+2589 1633 m 2589 1637 l 2560 1608 l 2564 1608 l 2535 1637 l 2535 1633 l 2564 1662 l 2560 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2644 1575 m 2614 1546 l 2644 1517 l 2673 1546 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2646 1577 m 2642 1577 l 2612 1548 l 2611 1546 l 2612 1544 l 2642 1515 l 2646 1515 l 2675 1544 l 2676 1546 l 2675 1548 l CP \r
+2671 1544 m 2671 1548 l 2642 1519 l 2646 1519 l 2617 1548 l 2617 1544 l 2646 1573 l 2642 1573 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2725 1663 m 2696 1634 l 2725 1605 l 2754 1634 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2727 1665 m 2725 1666 l 2723 1665 l 2694 1636 l 2693 1634 l 2694 1632 l 2723 1602 l 2725 1601 l 2727 1602 l 2756 1632 l 2757 1634 l 2756 1636 l CP \r
+2752 1632 m 2752 1636 l 2723 1607 l 2727 1607 l 2698 1636 l 2698 1632 l 2727 1661 l 2723 1661 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2807 1314 m 2778 1285 l 2807 1256 l 2836 1285 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2809 1316 m 2805 1316 l 2775 1287 l 2775 1283 l 2805 1254 l 2809 1254 l 2838 1283 l 2838 1287 l CP \r
+2834 1283 m 2834 1287 l 2805 1258 l 2809 1258 l 2780 1287 l 2780 1283 l 2809 1312 l 2805 1312 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2888 1645 m 2859 1616 l 2888 1587 l 2917 1616 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2890 1647 m 2888 1648 l 2886 1647 l 2857 1618 l 2856 1616 l 2857 1614 l 2886 1585 l 2890 1585 l 2920 1614 l 2921 1616 l 2920 1618 l CP \r
+2915 1614 m 2915 1618 l 2886 1589 l 2890 1589 l 2861 1618 l 2861 1614 l 2890 1643 l 2886 1643 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 2970 1552 m 2941 1523 l 2970 1494 l 2999 1523 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 2972 1555 m 2970 1556 l 2968 1555 l 2939 1525 l 2938 1523 l 2939 1521 l 2968 1492 l 2970 1491 l 2972 1492 l 3001 1521 l 3002 1523 l 3001 1525 l CP \r
+2997 1521 m 2997 1525 l 2968 1496 l 2972 1496 l 2943 1525 l 2943 1521 l 2972 1550 l 2968 1550 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3051 1608 m 3022 1579 l 3051 1550 l 3081 1579 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3054 1610 m 3049 1610 l 3020 1581 l 3019 1579 l 3020 1577 l 3049 1547 l 3054 1547 l 3083 1577 l 3084 1579 l 3083 1581 l CP \r
+3079 1577 m 3079 1581 l 3049 1552 l 3054 1552 l 3024 1581 l 3024 1577 l 3054 1606 l 3049 1606 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3133 1635 m 3104 1606 l 3133 1577 l 3162 1606 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3135 1638 m 3131 1638 l 3102 1608 l 3102 1604 l 3131 1575 l 3133 1574 l 3135 1575 l 3164 1604 l 3164 1608 l CP \r
+3160 1604 m 3160 1608 l 3131 1579 l 3135 1579 l 3106 1608 l 3106 1604 l 3135 1633 l 3131 1633 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3215 1664 m 3185 1635 l 3215 1606 l 3244 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3217 1666 m 3215 1667 l 3212 1666 l 3183 1637 l 3182 1635 l 3183 1633 l 3212 1604 l 3215 1603 l 3217 1604 l 3246 1633 l 3247 1635 l 3246 1637 l CP \r
+3242 1633 m 3242 1637 l 3212 1608 l 3217 1608 l 3188 1637 l 3188 1633 l 3217 1662 l 3212 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3296 1599 m 3267 1570 l 3296 1541 l 3325 1570 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3298 1602 m 3296 1603 l 3294 1602 l 3265 1572 l 3264 1570 l 3265 1568 l 3294 1539 l 3296 1538 l 3298 1539 l 3327 1568 l 3328 1570 l 3327 1572 l CP \r
+3323 1568 m 3323 1572 l 3294 1543 l 3298 1543 l 3269 1572 l 3269 1568 l 3298 1597 l 3294 1597 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3378 1664 m 3349 1635 l 3378 1606 l 3407 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3380 1666 m 3378 1667 l 3376 1666 l 3346 1637 l 3346 1633 l 3376 1604 l 3378 1603 l 3380 1604 l 3409 1633 l 3409 1637 l CP \r
+3405 1633 m 3405 1637 l 3376 1608 l 3380 1608 l 3351 1637 l 3351 1633 l 3380 1662 l 3376 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3459 1664 m 3430 1635 l 3459 1606 l 3488 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3461 1666 m 3459 1667 l 3457 1666 l 3428 1637 l 3428 1633 l 3457 1604 l 3459 1603 l 3461 1604 l 3491 1633 l 3492 1635 l 3491 1637 l CP \r
+3486 1633 m 3486 1637 l 3457 1608 l 3461 1608 l 3432 1637 l 3432 1633 l 3461 1662 l 3457 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3541 1664 m 3512 1635 l 3541 1606 l 3570 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3543 1666 m 3541 1667 l 3539 1666 l 3510 1637 l 3509 1635 l 3510 1633 l 3539 1604 l 3541 1603 l 3543 1604 l 3572 1633 l 3573 1635 l 3572 1637 l CP \r
+3568 1633 m 3568 1637 l 3539 1608 l 3543 1608 l 3514 1637 l 3514 1633 l 3543 1662 l 3539 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3622 1664 m 3593 1635 l 3622 1606 l 3652 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3625 1666 m 3622 1667 l 3620 1666 l 3591 1637 l 3590 1635 l 3591 1633 l 3620 1604 l 3622 1603 l 3625 1604 l 3654 1633 l 3655 1635 l 3654 1637 l CP \r
+3649 1633 m 3649 1637 l 3620 1608 l 3625 1608 l 3595 1637 l 3595 1633 l 3625 1662 l 3620 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3704 1664 m 3675 1635 l 3704 1606 l 3733 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3706 1666 m 3704 1667 l 3702 1666 l 3673 1637 l 3673 1633 l 3702 1604 l 3704 1603 l 3706 1604 l 3735 1633 l 3735 1637 l CP \r
+3731 1633 m 3731 1637 l 3702 1608 l 3706 1608 l 3677 1637 l 3677 1633 l 3706 1662 l 3702 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3786 1664 m 3756 1635 l 3786 1606 l 3815 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3788 1666 m 3786 1667 l 3783 1666 l 3754 1637 l 3753 1635 l 3754 1633 l 3783 1604 l 3786 1603 l 3788 1604 l 3817 1633 l 3818 1635 l 3817 1637 l CP \r
+3813 1633 m 3813 1637 l 3783 1608 l 3788 1608 l 3759 1637 l 3759 1633 l 3788 1662 l 3783 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3867 1664 m 3838 1635 l 3867 1606 l 3896 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3869 1666 m 3867 1667 l 3865 1666 l 3836 1637 l 3835 1635 l 3836 1633 l 3865 1604 l 3867 1603 l 3869 1604 l 3898 1633 l 3899 1635 l 3898 1637 l CP \r
+3894 1633 m 3894 1637 l 3865 1608 l 3869 1608 l 3840 1637 l 3840 1633 l 3869 1662 l 3865 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 3949 1664 m 3919 1635 l 3949 1606 l 3978 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 3951 1666 m 3949 1667 l 3947 1666 l 3917 1637 l 3916 1635 l 3917 1633 l 3947 1604 l 3949 1603 l 3951 1604 l 3980 1633 l 3981 1635 l 3980 1637 l CP \r
+3976 1633 m 3976 1637 l 3947 1608 l 3951 1608 l 3922 1637 l 3922 1633 l 3951 1662 l 3947 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 4030 1664 m 4001 1635 l 4030 1606 l 4059 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 4032 1666 m 4030 1667 l 4028 1666 l 3999 1637 l 3999 1633 l 4028 1604 l 4030 1603 l 4032 1604 l 4062 1633 l 4062 1637 l CP \r
+4057 1633 m 4057 1637 l 4028 1608 l 4032 1608 l 4003 1637 l 4003 1633 l 4032 1662 l 4028 1662 l CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+0.3098 0.5058 0.7411 SC\r
+NP 4112 1664 m 4083 1635 l 4112 1606 l 4141 1635 l eofill\r
+GSE\r
+GpPBeg1\r
+0.2901 0.4941 0.7333 SC\r
+NP 4114 1666 m 4112 1667 l 4110 1666 l 4081 1637 l 4080 1635 l 4081 1633 l 4110 1604 l 4112 1603 l 4114 1604 l 4143 1633 l 4144 1635 l 4143 1637 l CP \r
+4139 1633 m 4139 1637 l 4110 1608 l 4114 1608 l 4085 1637 l 4085 1633 l 4114 1662 l 4110 1662 l CP \r
+fill\r
+GSE\r
+\r
+%%EndDocument\r
+\r
+Pscript_WinNT_Compat dup /suspend get exec\r
+Pscript_WinNT_Incr dup /resume get exec\r
+/DeviceGray dup setcolorspace /colspABC exch def\r
+0 0 scol 254 VM?\r
+10 9326 1004 <00020048ffed03c705210013002b00ea4019281201291101260d01260c01\r
+2608012507012a03012902012db8ffc040250f024d602d01141810014d14\r
+100f014d14160d014d140a0c014d14200b014d14180c014d14bb022d0000\r
+0020ffe8b310014d20b8fff0b30f014d20b8ffeab30d014d20b8fff6b30c\r
+014d20b8ffe8b60c014d24200120b8022d40090a200030004000030ab8ff\r
+f040090f014d2f0a4f0a0200b8ffd040090f014d0a100f024d00b8ffc040\r
+0a0f024d000a000a2d2c1bb8010ab20f5325b8010ab10556003fed3fed11\r
+120139392f2f2b2b2b5d2b5d10e15d2b2b2b2b2b10e12b2b2b2b2b2b3130\r
+5d2b5d5d5d5d5d5d5d5d01140e0223222e0235343e0233321e0207342e04\r
+23220e0215141e0233323e0403c72f6db0817aa7662b306cb0807ba7662b\r
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+/TT15Ct00 findfont /CharStrings get begin\r
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+/TT15Ct00 findfont /Encoding get\r
+dup 3 /g1006 put\r
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+/TT15Ct00 findfont /CharStrings get begin\r
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+/TT15Ct00 findfont /Encoding get\r
+dup 4 /g1008 put\r
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+/TT15Ct00 findfont /CharStrings get begin\r
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+/TT15Ct00 findfont /Encoding get\r
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+/TT15Ct00 findfont /CharStrings get begin\r
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+/TT15Ct00 findfont /Encoding get\r
+dup 6 /g1012 put\r
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+ /TT15Ct00 /Font G2UBegin\r
+/g1012 <0038> def\r
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+/TT15Ct00 findfont /CharStrings get begin\r
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+/TT15Ct00 findfont /Encoding get\r
+dup 7 /g1005 put\r
+pop\r
+ /TT15Ct00 /Font G2UBegin\r
+/g1005 <0031> def\r
+G2UEnd\r
+604 1079 M <070202>[42 42  0]xS \r
+604 963 M <070302>[42 42  0]xS \r
+604 848 M <070402>[42 42  0]xS \r
+604 732 M <070502>[42 42  0]xS \r
+604 616 M <070602>[42 42  0]xS \r
+30000 VM?\r
+Pscript_WinNT_Compat begin /$x mysetup def end\r
+Pscript_WinNT_Incr dup /suspend get exec\r
+Pscript_WinNT_Compat dup /initialize get exec\r
+%%BeginDocument: Pscript_Win_PassThrough\r
+GpPBeg1\r
+NP 849 1676 m 848 1677 l 678 1847 l 678 1849 l 679 1849 l 749 1919 l 751 1920 l 751 1919 l 922 1748 l 850 1676 l CP \r
+eoclip\r
+0 0 0 SC\r
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+784 1783 m 785 1784 785 1784 785 1784 c 785 1785 785 1785 786 1785 c 786 1786 786 1786 786 1786 c 786 1786 785 1786 785 1786 c 772 1800 l 784 1813 l 797 1800 l 797 1800 797 1800 798 1800 c 798 1799 798 1799 798 1800 c 799 1800 799 1800 799 1800 c 799 1800 800 1800 800 1801 c 801 1801 801 1802 801 1802 c 801 1802 801 1802 801 1803 c 802 1803 802 1803 802 1803 c 801 1804 801 1804 801 1804 c 788 1817 l 804 1832 l 804 1832 804 1832 804 1833 c 804 1833 804 1833 804 1833 c 804 1834 804 1834 803 1834 c 803 1835 803 1835 802 1836 c 802 1836 801 1836 801 1837 c 801 1837 800 1837 800 1837 c 800 1837 800 1837 799 1837 c 799 1837 799 1837 799 1837 c 765 1803 l 764 1802 764 1801 764 1801 c 764 1800 764 1799 764 1799 c 781 1782 l 781 1782 781 1782 782 1782 c 782 1782 782 1782 782 1782 c 783 1782 783 1782 783 1783 c 784 1783 784 1783 784 1783 c CP \r
+fill\r
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+NP 849 1676 m 848 1677 l 678 1847 l 678 1849 l 679 1849 l 749 1919 l 751 1920 l 751 1919 l 922 1748 l 850 1676 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 823 1785 m 824 1786 824 1787 824 1787 c 825 1788 824 1788 824 1788 c 812 1800 l 812 1801 811 1801 811 1801 c 810 1801 810 1800 809 1799 c 808 1799 808 1798 808 1798 c 808 1797 808 1797 808 1796 c 820 1785 l 820 1784 821 1784 821 1784 c 821 1784 821 1784 821 1784 c 822 1784 822 1784 822 1785 c 822 1785 823 1785 823 1785 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 849 1676 m 848 1677 l 678 1847 l 678 1849 l 679 1849 l 749 1919 l 751 1920 l 751 1919 l 922 1748 l 850 1676 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 864 1770 m 864 1770 864 1770 865 1771 c 865 1771 865 1771 865 1772 c 865 1772 865 1772 865 1772 c 865 1772 865 1773 865 1773 c 844 1793 l 844 1794 844 1794 843 1794 c 843 1794 843 1794 843 1794 c 842 1794 842 1794 842 1794 c 841 1794 841 1793 840 1793 c 840 1792 840 1792 839 1792 c 839 1791 839 1791 839 1791 c 839 1791 839 1790 839 1790 c 839 1789 839 1789 838 1789 c 838 1773 l 838 1770 838 1767 838 1765 c 837 1762 837 1760 836 1758 c 836 1757 835 1755 834 1754 c 833 1753 833 1752 832 1751 c 831 1750 830 1750 829 1749 c 828 1749 827 1749 826 1749 c 825 1749 824 1749 823 1749 c 822 1750 821 1751 819 1752 c 818 1753 817 1754 817 1755 c 816 1757 816 1758 815 1759 c 815 1760 815 1761 815 1762 c 814 1762 814 1763 814 1763 c 814 1763 814 1763 813 1764 c 813 1764 813 1764 813 1763 c 813 1763 812 1763 812 1763 c 812 1763 811 1762 811 1762 c 811 1762 810 1761 810 1761 c 810 1761 810 1761 810 1760 c 810 1760 810 1760 809 1760 c 809 1760 809 1759 809 1759 c 809 1758 810 1758 810 1757 c 810 1756 810 1755 811 1754 c 811 1753 812 1751 813 1750 c 814 1749 815 1748 816 1747 c 818 1745 819 1743 821 1743 c 823 1742 825 1741 827 1741 c 828 1741 830 1742 832 1742 c 833 1743 835 1744 836 1745 c 837 1747 838 1748 839 1749 c 840 1751 841 1752 842 1754 c 842 1757 843 1759 843 1762 c 844 1765 844 1769 844 1773 c 844 1785 l 860 1769 l 861 1769 861 1768 861 1768 c 861 1768 862 1768 862 1768 c 862 1768 862 1769 863 1769 c 863 1769 863 1769 864 1770 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1012 1676 m 1011 1677 l 841 1847 l 841 1849 l 842 1849 l 912 1919 l 914 1920 l 914 1919 l 1085 1748 l 1013 1676 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 955 1841 m 956 1842 956 1842 956 1842 c 956 1843 956 1843 957 1843 c 957 1843 957 1844 957 1844 c 957 1844 956 1844 956 1844 c 940 1861 l 939 1861 939 1861 938 1862 c 938 1862 937 1861 936 1861 c 902 1826 l 902 1826 901 1826 901 1826 c 901 1826 901 1825 902 1825 c 902 1825 902 1825 902 1824 c 902 1824 903 1823 903 1823 c 904 1822 904 1822 905 1822 c 905 1822 905 1821 905 1821 c 906 1821 906 1821 906 1821 c 906 1821 906 1821 907 1821 c 939 1853 l 952 1840 l 952 1840 952 1840 953 1840 c 953 1840 953 1840 953 1840 c 954 1840 954 1840 954 1840 c 954 1841 955 1841 955 1841 c CP \r
+947 1783 m 948 1784 948 1784 948 1784 c 948 1785 949 1785 949 1785 c 949 1786 949 1786 949 1786 c 949 1786 949 1786 948 1786 c 935 1800 l 947 1813 l 960 1800 l 960 1800 961 1800 961 1800 c 961 1799 961 1799 961 1800 c 962 1800 962 1800 962 1800 c 963 1800 963 1800 963 1801 c 964 1801 964 1802 964 1802 c 964 1802 965 1802 965 1803 c 965 1803 965 1803 965 1803 c 965 1804 965 1804 964 1804 c 952 1817 l 967 1832 l 967 1832 967 1832 967 1833 c 967 1833 967 1833 967 1833 c 967 1834 967 1834 967 1834 c 966 1835 966 1835 965 1836 c 965 1836 965 1836 964 1837 c 964 1837 964 1837 963 1837 c 963 1837 963 1837 963 1837 c 962 1837 962 1837 962 1837 c 928 1803 l 927 1802 927 1801 927 1801 c 927 1800 927 1799 928 1799 c 944 1782 l 944 1782 945 1782 945 1782 c 945 1782 945 1782 945 1782 c 946 1782 946 1782 946 1783 c 947 1783 947 1783 947 1783 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1012 1676 m 1011 1677 l 841 1847 l 841 1849 l 842 1849 l 912 1919 l 914 1920 l 914 1919 l 1085 1748 l 1013 1676 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 986 1785 m 987 1786 987 1787 988 1787 c 988 1788 988 1788 987 1788 c 975 1800 l 975 1801 975 1801 974 1801 c 974 1801 973 1800 972 1799 c 972 1799 971 1798 971 1798 c 971 1797 971 1797 971 1796 c 983 1785 l 983 1784 984 1784 984 1784 c 984 1784 984 1784 984 1784 c 985 1784 985 1784 985 1785 c 986 1785 986 1785 986 1785 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1012 1676 m 1011 1677 l 841 1847 l 841 1849 l 842 1849 l 912 1919 l 914 1920 l 914 1919 l 1085 1748 l 1013 1676 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 1018 1761 m 1020 1763 1021 1765 1022 1767 c 1023 1769 1023 1771 1023 1773 c 1023 1775 1022 1777 1021 1779 c 1020 1781 1018 1784 1016 1786 c 1015 1787 1014 1788 1012 1789 c 1011 1790 1010 1790 1009 1791 c 1008 1792 1007 1792 1006 1792 c 1005 1792 1004 1793 1004 1793 c 1004 1793 1004 1793 1003 1793 c 1003 1792 1003 1792 1003 1792 c 1002 1792 1002 1792 1002 1792 c 1002 1791 1001 1791 1001 1791 c 1000 1790 1000 1789 1000 1789 c 999 1789 999 1788 1000 1788 c 1000 1788 1000 1788 1001 1787 c 1002 1787 1003 1787 1004 1786 c 1005 1786 1007 1785 1008 1785 c 1009 1784 1011 1783 1012 1781 c 1013 1780 1014 1779 1015 1778 c 1016 1776 1016 1775 1016 1774 c 1016 1772 1016 1771 1016 1770 c 1015 1769 1014 1768 1013 1767 c 1012 1766 1011 1765 1010 1765 c 1009 1764 1007 1764 1006 1764 c 1004 1765 1003 1765 1001 1766 c 1000 1767 998 1768 997 1770 c 993 1773 l 993 1773 993 1774 993 1774 c 993 1774 992 1774 992 1774 c 992 1774 991 1774 991 1773 c 991 1773 990 1773 990 1772 c 990 1772 989 1772 989 1771 c 989 1771 989 1771 989 1771 c 989 1770 989 1770 989 1770 c 989 1770 989 1770 989 1769 c 993 1766 l 994 1765 995 1764 995 1762 c 996 1761 997 1760 997 1758 c 997 1757 997 1756 996 1755 c 996 1753 995 1752 994 1751 c 993 1750 992 1750 991 1749 c 990 1749 989 1749 988 1749 c 987 1749 986 1749 985 1749 c 984 1750 983 1751 982 1752 c 981 1753 980 1754 979 1755 c 979 1756 978 1758 978 1759 c 978 1760 977 1761 977 1762 c 977 1762 977 1763 977 1763 c 977 1763 977 1763 976 1763 c 976 1763 976 1763 976 1763 c 976 1763 975 1763 975 1763 c 975 1763 974 1762 974 1762 c 974 1762 973 1761 973 1761 c 973 1761 973 1761 973 1760 c 973 1760 973 1760 973 1760 c 973 1760 973 1759 973 1759 c 973 1759 973 1758 973 1757 c 973 1756 973 1755 974 1754 c 974 1753 975 1752 976 1750 c 977 1749 978 1748 979 1747 c 981 1745 982 1744 984 1743 c 986 1742 988 1741 989 1741 c 991 1741 992 1742 994 1742 c 996 1743 997 1744 998 1745 c 1000 1746 1000 1748 1001 1749 c 1002 1750 1002 1752 1002 1753 c 1003 1754 1003 1756 1002 1757 c 1002 1759 1001 1760 1000 1761 c 1001 1761 l 1002 1760 1003 1759 1005 1759 c 1007 1758 1008 1758 1010 1758 c 1011 1758 1013 1758 1014 1759 c 1016 1759 1017 1760 1018 1761 c CP \r
+fill\r
+GSE\r
+GpPBeg1\r
+NP 1175 1677 m 1174 1678 l 1004 1848 l 1075 1919 l 1077 1920 l 1077 1919 l 1248 1748 l 1177 1677 l CP \r
+eoclip\r
+0 0 0 SC\r
+NP 1118 1841 m 1119 1842 1119 1842 1119 1842 c 1119 1843 1120 1843 1120 1843 c 1120 1843 1120 1844 1120 1844 c 1120 1844 1120 1844 1119 1844 c 1103 1861 l 1103 1861 1102 1861 1101 1862 c 1101 1862 1100 1861 1099 1861 c 1065 1826 l 1065 1826 1065 1826 1065 1826 c 1065 1826 1065 1825 1065 1825 c 1065 1825 1065 1825 1065 1824 c 1066 1824 1066 1823 1066 1823 c 1067 1822 1067 1822 1068 1822 c 1068 1822 1068 1821 1069 1821 c 1069 1821 1069 1821 1069 1821 c 1069 1821 1070 1821 1070 1821 c 1102 1853 l 1115 1840 l 1115 1840 1115 1840 1116 1840 c 1116 1840 1116 1840 1116 1840 c 1117 1840 1117 1840 1117 1840 c 1118 1841 1118 1841 1118 1841 c CP \r
+1110 1783 m 1111 1784 1111 1784 1111 1784 c 1112 1785 1112 1785 1112 1785 c 1112 1786 1112 1786 1112 1786 c 1112 1786 1112 1786 1112 1786 c 1098 1800 l 1111 1813 l 1123 1800 l 1124 1800 1124 1800 1124 1800 c 1124 1799 1124 1799 1125 1800 c 1125 1800 1125 1800 1125 1800 c 1126 1800 1126 1800 1126 1801 c 1127 1801 1127 1802 1127 1802 c 1128 1802 1128 1802 1128 1803 c 1128 1803 1128 1803 1128 1803 c 1128 1804 1128 1804 1127 1804 c 1115 1817 l 1130 1832 l 1130 1832 1130 1832 1130 1833 c 1130 1833 1130 1833 1130 1833 c 1130 1834 1130 1834 1130 1834 c 1129 1835 1129 1835 1129 1836 c 1128 1836 1128 1836 1127 1837 c 1127 1837 1127 1837 1126 1837 c 1126 1837 1126 1837 1126 1837 c 1125 1837 1125 1837 1125 1837 c 1091 1803 l 1090 1802 1090 1801 1090 1801 c 1090 1800 1090 1799 1091 1799 c 1107 1782 l 1107 1782 1108 1782 1108 1782 c 1108 1782 1108 1782 1109 1782 c 1109 1782 1109 1782 1109 1783 c 1110 1783 1110 1783 1110 1783 c CP \r
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+fill\r
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+GpPBeg1\r
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+eoclip\r
+0 0 0 SC\r
+NP 2575 1846 m 2575 1847 2575 1847 2576 1847 c 2576 1848 2576 1848 2576 1848 c 2576 1848 2576 1848 2576 1849 c 2576 1849 2576 1849 2576 1850 c 2576 1850 2576 1851 2576 1852 c 2576 1853 2576 1854 2575 1855 c 2574 1856 2574 1858 2573 1859 c 2572 1861 2571 1862 2569 1863 c 2567 1866 2564 1868 2562 1869 c 2559 1870 2556 1870 2553 1870 c 2550 1870 2547 1869 2544 1867 c 2541 1866 2538 1864 2535 1861 c 2532 1858 2530 1854 2528 1851 c 2526 1848 2526 1845 2525 1842 c 2525 1839 2526 1836 2527 1833 c 2528 1830 2530 1827 2532 1825 c 2533 1824 2534 1823 2535 1822 c 2537 1821 2538 1820 2539 1820 c 2540 1819 2541 1819 2542 1819 c 2543 1818 2544 1818 2545 1818 c 2545 1818 2546 1818 2546 1818 c 2546 1818 2546 1819 2546 1819 c 2547 1819 2547 1819 2547 1819 c 2547 1819 2548 1820 2548 1820 c 2548 1820 2549 1821 2549 1821 c 2549 1821 2549 1822 2550 1822 c 2550 1822 2550 1822 2550 1823 c 2550 1823 2550 1823 2549 1823 c 2549 1823 2549 1824 2548 1824 c 2547 1824 2546 1824 2545 1824 c 2543 1825 2542 1825 2541 1826 c 2539 1827 2538 1828 2536 1829 c 2535 1831 2533 1833 2533 1835 c 2532 1837 2532 1839 2532 1841 c 2532 1843 2533 1846 2535 1848 c 2536 1850 2538 1853 2540 1855 c 2542 1857 2545 1859 2547 1861 c 2549 1862 2552 1863 2554 1863 c 2556 1863 2558 1863 2560 1862 c 2562 1861 2564 1860 2566 1858 c 2567 1857 2568 1855 2569 1854 c 2570 1852 2570 1851 2571 1850 c 2571 1849 2571 1848 2571 1847 c 2571 1846 2572 1845 2572 1845 c 2572 1845 2572 1845 2572 1845 c 2573 1845 2573 1845 2573 1845 c 2573 1845 2573 1845 2574 1845 c 2574 1846 2574 1846 2575 1846 c CP \r
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+0 0 0 SC\r
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+fill\r
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+fill\r
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+fill\r
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+fill\r
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+fill\r
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+fill\r
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+fill\r
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+3623 1764 m 3622 1763 3621 1762 3620 1762 c 3618 1761 3617 1761 3616 1761 c 3615 1760 3614 1761 3613 1761 c 3611 1762 3610 1763 3609 1764 c 3608 1765 3608 1765 3607 1766 c 3606 1767 3606 1768 3606 1769 c 3605 1770 3605 1770 3604 1771 c 3604 1772 3604 1773 3604 1774 c 3606 1776 3608 1778 3610 1780 c 3612 1781 3614 1782 3616 1782 c 3617 1783 3619 1783 3620 1782 c 3621 1782 3623 1781 3624 1780 c 3625 1778 3626 1777 3626 1776 c 3627 1774 3627 1773 3627 1772 c 3627 1770 3626 1769 3626 1768 c 3625 1767 3624 1765 3623 1764 c CP \r
+fill\r
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+3768 1749 m 3767 1748 3766 1747 3765 1747 c 3764 1747 3763 1746 3762 1747 c 3761 1747 3760 1747 3759 1747 c 3758 1748 3757 1749 3756 1750 c 3754 1752 3753 1754 3753 1756 c 3753 1758 3754 1760 3755 1761 c 3756 1762 3757 1763 3758 1763 c 3759 1763 3760 1764 3761 1764 c 3762 1764 3763 1764 3764 1763 c 3766 1763 3767 1763 3769 1762 c 3770 1759 3770 1756 3770 1754 c 3770 1752 3769 1750 3768 1749 c CP \r
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+3888 1847 m 3888 1847 3888 1848 3888 1848 c 3888 1848 3888 1848 3888 1848 c 3888 1849 3888 1849 3888 1849 c 3887 1850 3887 1850 3886 1851 c 3886 1851 3885 1852 3885 1852 c 3885 1852 3884 1852 3884 1853 c 3884 1853 3883 1853 3883 1853 c 3883 1853 3883 1853 3882 1852 c 3870 1847 l 3869 1846 3867 1846 3866 1846 c 3865 1845 3864 1845 3863 1845 c 3861 1845 3860 1845 3859 1846 c 3858 1846 3857 1847 3856 1848 c 3852 1851 l 3868 1867 l 3868 1867 3868 1867 3868 1868 c 3868 1868 3868 1868 3868 1868 c 3868 1869 3868 1869 3868 1869 c 3867 1870 3867 1870 3867 1870 c 3866 1871 3866 1871 3865 1872 c 3865 1872 3865 1872 3864 1872 c 3864 1872 3864 1872 3864 1872 c 3864 1872 3863 1872 3863 1872 c 3829 1838 l 3828 1837 3828 1836 3828 1836 c 3828 1835 3828 1834 3829 1834 c 3837 1826 l 3838 1825 3838 1824 3839 1824 c 3840 1823 3840 1823 3841 1822 c 3843 1821 3844 1820 3846 1820 c 3847 1819 3849 1819 3851 1819 c 3852 1819 3854 1819 3855 1820 c 3857 1821 3858 1822 3859 1823 c 3860 1824 3861 1825 3862 1827 c 3863 1828 3863 1829 3863 1831 c 3863 1832 3863 1834 3863 1835 c 3863 1836 3862 1838 3861 1839 c 3862 1839 3863 1839 3864 1839 c 3865 1839 3866 1839 3867 1839 c 3868 1839 3869 1839 3870 1840 c 3871 1840 3872 1840 3874 1841 c 3885 1846 l 3886 1846 3887 1847 3887 1847 c 3888 1847 3888 1847 3888 1847 c CP \r
+3854 1829 m 3853 1827 3851 1826 3850 1826 c 3848 1826 3846 1826 3844 1827 c 3844 1827 3843 1828 3842 1828 c 3842 1829 3841 1830 3840 1831 c 3836 1835 l 3848 1847 l 3853 1843 l 3854 1841 3855 1840 3856 1839 c 3857 1837 3857 1836 3857 1835 c 3857 1834 3857 1833 3857 1832 c 3856 1831 3855 1830 3854 1829 c CP \r
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+NP 3892 1815 m 3893 1816 3894 1817 3894 1817 c 3894 1818 3894 1818 3893 1818 c 3881 1830 l 3881 1831 3881 1831 3880 1831 c 3880 1831 3879 1830 3878 1829 c 3878 1829 3877 1828 3877 1828 c 3877 1827 3877 1827 3877 1826 c 3889 1814 l 3890 1814 3890 1814 3890 1814 c 3890 1814 3890 1814 3891 1814 c 3891 1814 3891 1814 3891 1815 c 3892 1815 3892 1815 3892 1815 c CP \r
+fill\r
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+3947 1752 m 3950 1755 3953 1758 3954 1761 c 3956 1763 3958 1766 3958 1769 c 3959 1772 3959 1774 3958 1777 c 3957 1780 3956 1782 3953 1785 c 3951 1787 3949 1788 3946 1789 c 3944 1790 3941 1790 3939 1789 c 3936 1789 3933 1787 3931 1786 c 3928 1784 3925 1781 3922 1778 c 3919 1775 3917 1772 3915 1770 c 3913 1767 3912 1764 3911 1761 c 3910 1758 3910 1756 3911 1753 c 3912 1751 3913 1748 3916 1746 c 3918 1743 3921 1742 3923 1741 c 3925 1740 3928 1740 3931 1741 c 3933 1741 3936 1743 3939 1745 c 3941 1747 3944 1749 3947 1752 c CP \r
+3943 1758 m 3941 1756 3939 1754 3937 1753 c 3936 1751 3934 1750 3933 1749 c 3932 1749 3930 1748 3929 1748 c 3928 1747 3927 1747 3926 1747 c 3924 1747 3923 1747 3922 1748 c 3921 1748 3921 1749 3920 1750 c 3918 1752 3917 1753 3917 1755 c 3917 1757 3917 1759 3918 1761 c 3918 1763 3919 1764 3921 1767 c 3923 1769 3924 1771 3927 1773 c 3929 1775 3932 1778 3934 1779 c 3936 1781 3938 1782 3940 1783 c 3942 1783 3944 1783 3945 1783 c 3947 1782 3948 1782 3950 1780 c 3951 1779 3951 1778 3952 1777 c 3952 1776 3952 1775 3952 1773 c 3952 1772 3952 1771 3952 1770 c 3951 1768 3950 1767 3950 1766 c 3949 1764 3948 1763 3946 1762 c 3945 1760 3944 1759 3943 1758 c CP \r
+fill\r
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+\r
+%%EndDocument\r
+\r
+Pscript_WinNT_Compat dup /suspend get exec\r
+Pscript_WinNT_Incr dup /resume get exec\r
+/DeviceGray dup setcolorspace /colspABC exch def\r
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+-0.516 -0.305 1.238 0.969\r
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+end\r
+/TT15Et00 findfont /Encoding get\r
+dup 9 /g894 put\r
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+pop\r
+ /TT15Et00 /Font G2UBegin\r
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+end\r
+/TT15Et00 findfont /Encoding get\r
+dup 14 /g876 put\r
+dup 15 /g4 put\r
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+pop\r
+ /TT15Et00 /Font G2UBegin\r
+/g876 <002F> def\r
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+G2UEnd\r
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+LH\r
+(%%[Page: 1]%%) = \r
+%%PageTrailer\r
+\r
+%%Trailer\r
+%%BoundingBox: 71 587 524 771\r
+%%DocumentNeededResources: \r
+%%DocumentSuppliedResources: \r
+%%+ procset Pscript_WinNT_ErrorHandler 5.0 0\r
+%%+ procset Pscript_FatalError 5.0 0\r
+%%+ procset Pscript_Win_Basic 5.0 0\r
+%%+ procset Pscript_Win_Utils_L2 5.0 0\r
+%%+ procset Pscript_T42Hdr 5.0 0\r
+%%+ procset Pscript_Text 5.0 0\r
+%%+ procset Pscript_WinNT_Compat 5.0 0\r
+Pscript_WinNT_Incr dup /terminate get exec\r
+ehsave restore\r
+%%Pages: 1\r
+(%%[LastPage]%%) = \r
+%%EOF\r
+\ 4\e%-12345X@PJL EOJ\r
+\e%-12345X\r

diff --git a/llncs.cls b/llncs.cls
new file mode 100644 (file)
index 0000000..6e1806d
--- /dev/null
+++ b/llncs.cls
@@ -0,0 +1,1208 @@
+% LLNCS DOCUMENT CLASS -- version 2.18 (27-Sep-2013)\r
+% Springer Verlag LaTeX2e support for Lecture Notes in Computer Science\r
+%\r
+%%\r
+%% \CharacterTable\r
+%%  {Upper-case    \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\r
+%%   Lower-case    \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\r
+%%   Digits        \0\1\2\3\4\5\6\7\8\9\r
+%%   Exclamation   \!     Double quote  \"     Hash (number) \#\r
+%%   Dollar        \$     Percent       \%     Ampersand     \&\r
+%%   Acute accent  \'     Left paren    \(     Right paren   \)\r
+%%   Asterisk      \*     Plus          \+     Comma         \,\r
+%%   Minus         \-     Point         \.     Solidus       \/\r
+%%   Colon         \:     Semicolon     \;     Less than     \<\r
+%%   Equals        \=     Greater than  \>     Question mark \?\r
+%%   Commercial at \@     Left bracket  \[     Backslash     \\\r
+%%   Right bracket \]     Circumflex    \^     Underscore    \_\r
+%%   Grave accent  \`     Left brace    \{     Vertical bar  \|\r
+%%   Right brace   \}     Tilde         \~}\r
+%%\r
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]\r
+\ProvidesClass{llncs}[2013/09/27 v2.18\r
+^^J LaTeX document class for Lecture Notes in Computer Science]\r
+% Options\r
+\let\if@envcntreset\iffalse\r
+\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue}\r
+\DeclareOption{citeauthoryear}{\let\citeauthoryear=Y}\r
+\DeclareOption{oribibl}{\let\oribibl=Y}\r
+\let\if@custvec\iftrue\r
+\DeclareOption{orivec}{\let\if@custvec\iffalse}\r
+\let\if@envcntsame\iffalse\r
+\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue}\r
+\let\if@envcntsect\iffalse\r
+\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue}\r
+\let\if@runhead\iffalse\r
+\DeclareOption{runningheads}{\let\if@runhead\iftrue}\r
+\r
+\let\if@openright\iftrue\r
+\let\if@openbib\iffalse\r
+\DeclareOption{openbib}{\let\if@openbib\iftrue}\r
+\r
+% languages\r
+\let\switcht@@therlang\relax\r
+\def\ds@deutsch{\def\switcht@@therlang{\switcht@deutsch}}\r
+\def\ds@francais{\def\switcht@@therlang{\switcht@francais}}\r
+\r
+\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}\r
+\r
+\ProcessOptions\r
+\r
+\LoadClass[twoside]{article}\r
+\RequirePackage{multicol} % needed for the list of participants, index\r
+\RequirePackage{aliascnt}\r
+\r
+\setlength{\textwidth}{12.2cm}\r
+\setlength{\textheight}{19.3cm}\r
+\renewcommand\@pnumwidth{2em}\r
+\renewcommand\@tocrmarg{3.5em}\r
+%\r
+\def\@dottedtocline#1#2#3#4#5{%\r
+  \ifnum #1>\c@tocdepth \else\r
+    \vskip \z@ \@plus.2\p@\r
+    {\leftskip #2\relax \rightskip \@tocrmarg \advance\rightskip by 0pt plus 2cm\r
+               \parfillskip -\rightskip \pretolerance=10000\r
+     \parindent #2\relax\@afterindenttrue\r
+     \interlinepenalty\@M\r
+     \leavevmode\r
+     \@tempdima #3\relax\r
+     \advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip\r
+     {#4}\nobreak\r
+     \leaders\hbox{$\m@th\r
+        \mkern \@dotsep mu\hbox{.}\mkern \@dotsep\r
+        mu$}\hfill\r
+     \nobreak\r
+     \hb@xt@\@pnumwidth{\hfil\normalfont \normalcolor #5}%\r
+     \par}%\r
+  \fi}\r
+%\r
+\def\switcht@albion{%\r
+\def\abstractname{Abstract.}\r
+\def\ackname{Acknowledgement.}\r
+\def\andname{and}\r
+\def\lastandname{\unskip, and}\r
+\def\appendixname{Appendix}\r
+\def\chaptername{Chapter}\r
+\def\claimname{Claim}\r
+\def\conjecturename{Conjecture}\r
+\def\contentsname{Table of Contents}\r
+\def\corollaryname{Corollary}\r
+\def\definitionname{Definition}\r
+\def\examplename{Example}\r
+\def\exercisename{Exercise}\r
+\def\figurename{Fig.}\r
+\def\keywordname{{\bf Keywords:}}\r
+\def\indexname{Index}\r
+\def\lemmaname{Lemma}\r
+\def\contriblistname{List of Contributors}\r
+\def\listfigurename{List of Figures}\r
+\def\listtablename{List of Tables}\r
+\def\mailname{{\it Correspondence to\/}:}\r
+\def\noteaddname{Note added in proof}\r
+\def\notename{Note}\r
+\def\partname{Part}\r
+\def\problemname{Problem}\r
+\def\proofname{Proof}\r
+\def\propertyname{Property}\r
+\def\propositionname{Proposition}\r
+\def\questionname{Question}\r
+\def\remarkname{Remark}\r
+\def\seename{see}\r
+\def\solutionname{Solution}\r
+\def\subclassname{{\it Subject Classifications\/}:}\r
+\def\tablename{Table}\r
+\def\theoremname{Theorem}}\r
+\switcht@albion\r
+% Names of theorem like environments are already defined\r
+% but must be translated if another language is chosen\r
+%\r
+% French section\r
+\def\switcht@francais{%\typeout{On parle francais.}%\r
+ \def\abstractname{R\'esum\'e.}%\r
+ \def\ackname{Remerciements.}%\r
+ \def\andname{et}%\r
+ \def\lastandname{ et}%\r
+ \def\appendixname{Appendice}\r
+ \def\chaptername{Chapitre}%\r
+ \def\claimname{Pr\'etention}%\r
+ \def\conjecturename{Hypoth\`ese}%\r
+ \def\contentsname{Table des mati\`eres}%\r
+ \def\corollaryname{Corollaire}%\r
+ \def\definitionname{D\'efinition}%\r
+ \def\examplename{Exemple}%\r
+ \def\exercisename{Exercice}%\r
+ \def\figurename{Fig.}%\r
+ \def\keywordname{{\bf Mots-cl\'e:}}\r
+ \def\indexname{Index}\r
+ \def\lemmaname{Lemme}%\r
+ \def\contriblistname{Liste des contributeurs}\r
+ \def\listfigurename{Liste des figures}%\r
+ \def\listtablename{Liste des tables}%\r
+ \def\mailname{{\it Correspondence to\/}:}\r
+ \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}%\r
+ \def\notename{Remarque}%\r
+ \def\partname{Partie}%\r
+ \def\problemname{Probl\`eme}%\r
+ \def\proofname{Preuve}%\r
+ \def\propertyname{Caract\'eristique}%\r
+%\def\propositionname{Proposition}%\r
+ \def\questionname{Question}%\r
+ \def\remarkname{Remarque}%\r
+ \def\seename{voir}\r
+ \def\solutionname{Solution}%\r
+ \def\subclassname{{\it Subject Classifications\/}:}\r
+ \def\tablename{Tableau}%\r
+ \def\theoremname{Th\'eor\`eme}%\r
+}\r
+%\r
+% German section\r
+\def\switcht@deutsch{%\typeout{Man spricht deutsch.}%\r
+ \def\abstractname{Zusammenfassung.}%\r
+ \def\ackname{Danksagung.}%\r
+ \def\andname{und}%\r
+ \def\lastandname{ und}%\r
+ \def\appendixname{Anhang}%\r
+ \def\chaptername{Kapitel}%\r
+ \def\claimname{Behauptung}%\r
+ \def\conjecturename{Hypothese}%\r
+ \def\contentsname{Inhaltsverzeichnis}%\r
+ \def\corollaryname{Korollar}%\r
+%\def\definitionname{Definition}%\r
+ \def\examplename{Beispiel}%\r
+ \def\exercisename{\"Ubung}%\r
+ \def\figurename{Abb.}%\r
+ \def\keywordname{{\bf Schl\"usselw\"orter:}}\r
+ \def\indexname{Index}\r
+%\def\lemmaname{Lemma}%\r
+ \def\contriblistname{Mitarbeiter}\r
+ \def\listfigurename{Abbildungsverzeichnis}%\r
+ \def\listtablename{Tabellenverzeichnis}%\r
+ \def\mailname{{\it Correspondence to\/}:}\r
+ \def\noteaddname{Nachtrag}%\r
+ \def\notename{Anmerkung}%\r
+ \def\partname{Teil}%\r
+%\def\problemname{Problem}%\r
+ \def\proofname{Beweis}%\r
+ \def\propertyname{Eigenschaft}%\r
+%\def\propositionname{Proposition}%\r
+ \def\questionname{Frage}%\r
+ \def\remarkname{Anmerkung}%\r
+ \def\seename{siehe}\r
+ \def\solutionname{L\"osung}%\r
+ \def\subclassname{{\it Subject Classifications\/}:}\r
+ \def\tablename{Tabelle}%\r
+%\def\theoremname{Theorem}%\r
+}\r
+\r
+% Ragged bottom for the actual page\r
+\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil\r
+\global\let\@textbottom\relax}}\r
+\r
+\renewcommand\small{%\r
+   \@setfontsize\small\@ixpt{11}%\r
+   \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@\r
+   \abovedisplayshortskip \z@ \@plus2\p@\r
+   \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@\r
+   \def\@listi{\leftmargin\leftmargini\r
+               \parsep 0\p@ \@plus1\p@ \@minus\p@\r
+               \topsep 8\p@ \@plus2\p@ \@minus4\p@\r
+               \itemsep0\p@}%\r
+   \belowdisplayskip \abovedisplayskip\r
+}\r
+\r
+\frenchspacing\r
+\widowpenalty=10000\r
+\clubpenalty=10000\r
+\r
+\setlength\oddsidemargin   {63\p@}\r
+\setlength\evensidemargin  {63\p@}\r
+\setlength\marginparwidth  {90\p@}\r
+\r
+\setlength\headsep   {16\p@}\r
+\r
+\setlength\footnotesep{7.7\p@}\r
+\setlength\textfloatsep{8mm\@plus 2\p@ \@minus 4\p@}\r
+\setlength\intextsep   {8mm\@plus 2\p@ \@minus 2\p@}\r
+\r
+\setcounter{secnumdepth}{2}\r
+\r
+\newcounter {chapter}\r
+\renewcommand\thechapter      {\@arabic\c@chapter}\r
+\r
+\newif\if@mainmatter \@mainmattertrue\r
+\newcommand\frontmatter{\cleardoublepage\r
+            \@mainmatterfalse\pagenumbering{Roman}}\r
+\newcommand\mainmatter{\cleardoublepage\r
+       \@mainmattertrue\pagenumbering{arabic}}\r
+\newcommand\backmatter{\if@openright\cleardoublepage\else\clearpage\fi\r
+      \@mainmatterfalse}\r
+\r
+\renewcommand\part{\cleardoublepage\r
+                 \thispagestyle{empty}%\r
+                 \if@twocolumn\r
+                     \onecolumn\r
+                     \@tempswatrue\r
+                   \else\r
+                     \@tempswafalse\r
+                 \fi\r
+                 \null\vfil\r
+                 \secdef\@part\@spart}\r
+\r
+\def\@part[#1]#2{%\r
+    \ifnum \c@secnumdepth >-2\relax\r
+      \refstepcounter{part}%\r
+      \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%\r
+    \else\r
+      \addcontentsline{toc}{part}{#1}%\r
+    \fi\r
+    \markboth{}{}%\r
+    {\centering\r
+     \interlinepenalty \@M\r
+     \normalfont\r
+     \ifnum \c@secnumdepth >-2\relax\r
+       \huge\bfseries \partname~\thepart\r
+       \par\r
+       \vskip 20\p@\r
+     \fi\r
+     \Huge \bfseries #2\par}%\r
+    \@endpart}\r
+\def\@spart#1{%\r
+    {\centering\r
+     \interlinepenalty \@M\r
+     \normalfont\r
+     \Huge \bfseries #1\par}%\r
+    \@endpart}\r
+\def\@endpart{\vfil\newpage\r
+              \if@twoside\r
+                \null\r
+                \thispagestyle{empty}%\r
+                \newpage\r
+              \fi\r
+              \if@tempswa\r
+                \twocolumn\r
+              \fi}\r
+\r
+\newcommand\chapter{\clearpage\r
+                    \thispagestyle{empty}%\r
+                    \global\@topnum\z@\r
+                    \@afterindentfalse\r
+                    \secdef\@chapter\@schapter}\r
+\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne\r
+                       \if@mainmatter\r
+                         \refstepcounter{chapter}%\r
+                         \typeout{\@chapapp\space\thechapter.}%\r
+                         \addcontentsline{toc}{chapter}%\r
+                                  {\protect\numberline{\thechapter}#1}%\r
+                       \else\r
+                         \addcontentsline{toc}{chapter}{#1}%\r
+                       \fi\r
+                    \else\r
+                      \addcontentsline{toc}{chapter}{#1}%\r
+                    \fi\r
+                    \chaptermark{#1}%\r
+                    \addtocontents{lof}{\protect\addvspace{10\p@}}%\r
+                    \addtocontents{lot}{\protect\addvspace{10\p@}}%\r
+                    \if@twocolumn\r
+                      \@topnewpage[\@makechapterhead{#2}]%\r
+                    \else\r
+                      \@makechapterhead{#2}%\r
+                      \@afterheading\r
+                    \fi}\r
+\def\@makechapterhead#1{%\r
+% \vspace*{50\p@}%\r
+  {\centering\r
+    \ifnum \c@secnumdepth >\m@ne\r
+      \if@mainmatter\r
+        \large\bfseries \@chapapp{} \thechapter\r
+        \par\nobreak\r
+        \vskip 20\p@\r
+      \fi\r
+    \fi\r
+    \interlinepenalty\@M\r
+    \Large \bfseries #1\par\nobreak\r
+    \vskip 40\p@\r
+  }}\r
+\def\@schapter#1{\if@twocolumn\r
+                   \@topnewpage[\@makeschapterhead{#1}]%\r
+                 \else\r
+                   \@makeschapterhead{#1}%\r
+                   \@afterheading\r
+                 \fi}\r
+\def\@makeschapterhead#1{%\r
+% \vspace*{50\p@}%\r
+  {\centering\r
+    \normalfont\r
+    \interlinepenalty\@M\r
+    \Large \bfseries  #1\par\nobreak\r
+    \vskip 40\p@\r
+  }}\r
+\r
+\renewcommand\section{\@startsection{section}{1}{\z@}%\r
+                       {-18\p@ \@plus -4\p@ \@minus -4\p@}%\r
+                       {12\p@ \@plus 4\p@ \@minus 4\p@}%\r
+                       {\normalfont\large\bfseries\boldmath\r
+                        \rightskip=\z@ \@plus 8em\pretolerance=10000 }}\r
+\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%\r
+                       {-18\p@ \@plus -4\p@ \@minus -4\p@}%\r
+                       {8\p@ \@plus 4\p@ \@minus 4\p@}%\r
+                       {\normalfont\normalsize\bfseries\boldmath\r
+                        \rightskip=\z@ \@plus 8em\pretolerance=10000 }}\r
+\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%\r
+                       {-18\p@ \@plus -4\p@ \@minus -4\p@}%\r
+                       {-0.5em \@plus -0.22em \@minus -0.1em}%\r
+                       {\normalfont\normalsize\bfseries\boldmath}}\r
+\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}%\r
+                       {-12\p@ \@plus -4\p@ \@minus -4\p@}%\r
+                       {-0.5em \@plus -0.22em \@minus -0.1em}%\r
+                       {\normalfont\normalsize\itshape}}\r
+\renewcommand\subparagraph[1]{\typeout{LLNCS warning: You should not use\r
+                  \string\subparagraph\space with this class}\vskip0.5cm\r
+You should not use \verb|\subparagraph| with this class.\vskip0.5cm}\r
+\r
+\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00}\r
+\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}\r
+\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}\r
+\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}\r
+\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}\r
+\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}\r
+\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}\r
+\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}\r
+\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}\r
+\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}\r
+\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}\r
+\r
+\let\footnotesize\small\r
+\r
+\if@custvec\r
+\def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}}\r
+{\mbox{\boldmath$\textstyle#1$}}\r
+{\mbox{\boldmath$\scriptstyle#1$}}\r
+{\mbox{\boldmath$\scriptscriptstyle#1$}}}\r
+\fi\r
+\r
+\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}}\r
+\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil\r
+\penalty50\hskip1em\null\nobreak\hfil\squareforqed\r
+\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}\r
+\r
+\def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip\r
+\halign{\hfil\r
+$\displaystyle##$\hfil\cr\gets\cr\to\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets\r
+\cr\to\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets\r
+\cr\to\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\r
+\gets\cr\to\cr}}}}}\r
+\def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil\r
+$\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr\r
+\noalign{\vskip1.2pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr\r
+\noalign{\vskip1pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\r
+<\cr\r
+\noalign{\vskip0.9pt}=\cr}}}}}\r
+\def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil\r
+$\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.2pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr\r
+\noalign{\vskip1.2pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr\r
+\noalign{\vskip1pt}=\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\r
+>\cr\r
+\noalign{\vskip0.9pt}=\cr}}}}}\r
+\def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip\r
+\halign{\hfil\r
+$\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1pt}<\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\r
+>\cr\noalign{\vskip-1pt}<\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\r
+>\cr\noalign{\vskip-0.8pt}<\cr}}}\r
+{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\r
+>\cr\noalign{\vskip-0.3pt}<\cr}}}}}\r
+\def\bbbr{{\rm I\!R}} %reelle Zahlen\r
+\def\bbbm{{\rm I\!M}}\r
+\def\bbbn{{\rm I\!N}} %natuerliche Zahlen\r
+\def\bbbf{{\rm I\!F}}\r
+\def\bbbh{{\rm I\!H}}\r
+\def\bbbk{{\rm I\!K}}\r
+\def\bbbp{{\rm I\!P}}\r
+\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l}\r
+{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}}\r
+\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}}\r
+\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm\r
+Q$}\hbox{\raise\r
+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise\r
+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise\r
+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise\r
+0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}}\r
+\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm\r
+T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox\r
+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox\r
+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox\r
+to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}}\r
+\def\bbbs{{\mathchoice\r
+{\setbox0=\hbox{$\displaystyle     \rm S$}\hbox{\raise0.5\ht0\hbox\r
+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox\r
+to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\textstyle        \rm S$}\hbox{\raise0.5\ht0\hbox\r
+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox\r
+to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptstyle      \rm S$}\hbox{\raise0.5\ht0\hbox\r
+to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox\r
+to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}}\r
+{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox\r
+to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox\r
+to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}}\r
+\def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}\r
+{\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}\r
+{\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}}\r
+{\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}}\r
+\r
+\let\ts\,\r
+\r
+\setlength\leftmargini  {17\p@}\r
+\setlength\leftmargin    {\leftmargini}\r
+\setlength\leftmarginii  {\leftmargini}\r
+\setlength\leftmarginiii {\leftmargini}\r
+\setlength\leftmarginiv  {\leftmargini}\r
+\setlength  \labelsep  {.5em}\r
+\setlength  \labelwidth{\leftmargini}\r
+\addtolength\labelwidth{-\labelsep}\r
+\r
+\def\@listI{\leftmargin\leftmargini\r
+            \parsep 0\p@ \@plus1\p@ \@minus\p@\r
+            \topsep 8\p@ \@plus2\p@ \@minus4\p@\r
+            \itemsep0\p@}\r
+\let\@listi\@listI\r
+\@listi\r
+\def\@listii {\leftmargin\leftmarginii\r
+              \labelwidth\leftmarginii\r
+              \advance\labelwidth-\labelsep\r
+              \topsep    0\p@ \@plus2\p@ \@minus\p@}\r
+\def\@listiii{\leftmargin\leftmarginiii\r
+              \labelwidth\leftmarginiii\r
+              \advance\labelwidth-\labelsep\r
+              \topsep    0\p@ \@plus\p@\@minus\p@\r
+              \parsep    \z@\r
+              \partopsep \p@ \@plus\z@ \@minus\p@}\r
+\r
+\renewcommand\labelitemi{\normalfont\bfseries --}\r
+\renewcommand\labelitemii{$\m@th\bullet$}\r
+\r
+\setlength\arraycolsep{1.4\p@}\r
+\setlength\tabcolsep{1.4\p@}\r
+\r
+\def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}%\r
+                                                    {{\contentsname}}}\r
+ \def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}}\r
+ \def\lastand{\ifnum\value{auco}=2\relax\r
+                 \unskip{} \andname\\r
+              \else\r
+                 \unskip \lastandname\\r
+              \fi}%\r
+ \def\and{\stepcounter{@auth}\relax\r
+          \ifnum\value{@auth}=\value{auco}%\r
+             \lastand\r
+          \else\r
+             \unskip,\r
+          \fi}%\r
+ \@starttoc{toc}\if@restonecol\twocolumn\fi}\r
+\r
+\def\l@part#1#2{\addpenalty{\@secpenalty}%\r
+   \addvspace{2em plus\p@}%  % space above part line\r
+   \begingroup\r
+     \parindent \z@\r
+     \rightskip \z@ plus 5em\r
+     \hrule\vskip5pt\r
+     \large               % same size as for a contribution heading\r
+     \bfseries\boldmath   % set line in boldface\r
+     \leavevmode          % TeX command to enter horizontal mode.\r
+     #1\par\r
+     \vskip5pt\r
+     \hrule\r
+     \vskip1pt\r
+     \nobreak             % Never break after part entry\r
+   \endgroup}\r
+\r
+\def\@dotsep{2}\r
+\r
+\let\phantomsection=\relax\r
+\r
+\def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else\r
+{}\fi}\r
+\r
+\def\addnumcontentsmark#1#2#3{%\r
+\addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline\r
+                     {\thechapter}#3}{\thepage}\hyperhrefextend}}%\r
+\def\addcontentsmark#1#2#3{%\r
+\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}}%\r
+\def\addcontentsmarkwop#1#2#3{%\r
+\addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}}%\r
+\r
+\def\@adcmk[#1]{\ifcase #1 \or\r
+\def\@gtempa{\addnumcontentsmark}%\r
+  \or    \def\@gtempa{\addcontentsmark}%\r
+  \or    \def\@gtempa{\addcontentsmarkwop}%\r
+  \fi\@gtempa{toc}{chapter}%\r
+}\r
+\def\addtocmark{%\r
+\phantomsection\r
+\@ifnextchar[{\@adcmk}{\@adcmk[3]}%\r
+}\r
+\r
+\def\l@chapter#1#2{\addpenalty{-\@highpenalty}\r
+ \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup\r
+ \parindent \z@ \rightskip \@tocrmarg\r
+ \advance\rightskip by 0pt plus 2cm\r
+ \parfillskip -\rightskip \pretolerance=10000\r
+ \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip\r
+ {\large\bfseries\boldmath#1}\ifx0#2\hfil\null\r
+ \else\r
+      \nobreak\r
+      \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern\r
+      \@dotsep mu$}\hfill\r
+      \nobreak\hbox to\@pnumwidth{\hss #2}%\r
+ \fi\par\r
+ \penalty\@highpenalty \endgroup}\r
+\r
+\def\l@title#1#2{\addpenalty{-\@highpenalty}\r
+ \addvspace{8pt plus 1pt}\r
+ \@tempdima \z@\r
+ \begingroup\r
+ \parindent \z@ \rightskip \@tocrmarg\r
+ \advance\rightskip by 0pt plus 2cm\r
+ \parfillskip -\rightskip \pretolerance=10000\r
+ \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip\r
+ #1\nobreak\r
+ \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern\r
+ \@dotsep mu$}\hfill\r
+ \nobreak\hbox to\@pnumwidth{\hss #2}\par\r
+ \penalty\@highpenalty \endgroup}\r
+\r
+\def\l@author#1#2{\addpenalty{\@highpenalty}\r
+ \@tempdima=15\p@ %\z@\r
+ \begingroup\r
+ \parindent \z@ \rightskip \@tocrmarg\r
+ \advance\rightskip by 0pt plus 2cm\r
+ \pretolerance=10000\r
+ \leavevmode \advance\leftskip\@tempdima %\hskip -\leftskip\r
+ \textit{#1}\par\r
+ \penalty\@highpenalty \endgroup}\r
+\r
+\setcounter{tocdepth}{0}\r
+\newdimen\tocchpnum\r
+\newdimen\tocsecnum\r
+\newdimen\tocsectotal\r
+\newdimen\tocsubsecnum\r
+\newdimen\tocsubsectotal\r
+\newdimen\tocsubsubsecnum\r
+\newdimen\tocsubsubsectotal\r
+\newdimen\tocparanum\r
+\newdimen\tocparatotal\r
+\newdimen\tocsubparanum\r
+\tocchpnum=\z@            % no chapter numbers\r
+\tocsecnum=15\p@          % section 88. plus 2.222pt\r
+\tocsubsecnum=23\p@       % subsection 88.8 plus 2.222pt\r
+\tocsubsubsecnum=27\p@    % subsubsection 88.8.8 plus 1.444pt\r
+\tocparanum=35\p@         % paragraph 88.8.8.8 plus 1.666pt\r
+\tocsubparanum=43\p@      % subparagraph 88.8.8.8.8 plus 1.888pt\r
+\def\calctocindent{%\r
+\tocsectotal=\tocchpnum\r
+\advance\tocsectotal by\tocsecnum\r
+\tocsubsectotal=\tocsectotal\r
+\advance\tocsubsectotal by\tocsubsecnum\r
+\tocsubsubsectotal=\tocsubsectotal\r
+\advance\tocsubsubsectotal by\tocsubsubsecnum\r
+\tocparatotal=\tocsubsubsectotal\r
+\advance\tocparatotal by\tocparanum}\r
+\calctocindent\r
+\r
+\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}}\r
+\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}}\r
+\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}}\r
+\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}}\r
+\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}}\r
+\r
+\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn\r
+ \fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}}\r
+ \@starttoc{lof}\if@restonecol\twocolumn\fi}\r
+\def\l@figure{\@dottedtocline{1}{0em}{1.5em}}\r
+\r
+\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn\r
+ \fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}}\r
+ \@starttoc{lot}\if@restonecol\twocolumn\fi}\r
+\let\l@table\l@figure\r
+\r
+\renewcommand\listoffigures{%\r
+    \section*{\listfigurename\r
+      \@mkboth{\listfigurename}{\listfigurename}}%\r
+    \@starttoc{lof}%\r
+    }\r
+\r
+\renewcommand\listoftables{%\r
+    \section*{\listtablename\r
+      \@mkboth{\listtablename}{\listtablename}}%\r
+    \@starttoc{lot}%\r
+    }\r
+\r
+\ifx\oribibl\undefined\r
+\ifx\citeauthoryear\undefined\r
+\renewenvironment{thebibliography}[1]\r
+     {\section*{\refname}\r
+      \def\@biblabel##1{##1.}\r
+      \small\r
+      \list{\@biblabel{\@arabic\c@enumiv}}%\r
+           {\settowidth\labelwidth{\@biblabel{#1}}%\r
+            \leftmargin\labelwidth\r
+            \advance\leftmargin\labelsep\r
+            \if@openbib\r
+              \advance\leftmargin\bibindent\r
+              \itemindent -\bibindent\r
+              \listparindent \itemindent\r
+              \parsep \z@\r
+            \fi\r
+            \usecounter{enumiv}%\r
+            \let\p@enumiv\@empty\r
+            \renewcommand\theenumiv{\@arabic\c@enumiv}}%\r
+      \if@openbib\r
+        \renewcommand\newblock{\par}%\r
+      \else\r
+        \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%\r
+      \fi\r
+      \sloppy\clubpenalty4000\widowpenalty4000%\r
+      \sfcode`\.=\@m}\r
+     {\def\@noitemerr\r
+       {\@latex@warning{Empty `thebibliography' environment}}%\r
+      \endlist}\r
+\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw\r
+     {\let\protect\noexpand\immediate\r
+     \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}\r
+\newcount\@tempcntc\r
+\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi\r
+  \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do\r
+    {\@ifundefined\r
+       {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries\r
+        ?}\@warning\r
+       {Citation `\@citeb' on page \thepage \space undefined}}%\r
+    {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}%\r
+     \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne\r
+       \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}%\r
+     \else\r
+      \advance\@tempcntb\@ne\r
+      \ifnum\@tempcntb=\@tempcntc\r
+      \else\advance\@tempcntb\m@ne\@citeo\r
+      \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}}\r
+\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else\r
+               \@citea\def\@citea{,\,\hskip\z@skip}%\r
+               \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else\r
+               {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else\r
+                \def\@citea{--}\fi\r
+      \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi}\r
+\else\r
+\renewenvironment{thebibliography}[1]\r
+     {\section*{\refname}\r
+      \small\r
+      \list{}%\r
+           {\settowidth\labelwidth{}%\r
+            \leftmargin\parindent\r
+            \itemindent=-\parindent\r
+            \labelsep=\z@\r
+            \if@openbib\r
+              \advance\leftmargin\bibindent\r
+              \itemindent -\bibindent\r
+              \listparindent \itemindent\r
+              \parsep \z@\r
+            \fi\r
+            \usecounter{enumiv}%\r
+            \let\p@enumiv\@empty\r
+            \renewcommand\theenumiv{}}%\r
+      \if@openbib\r
+        \renewcommand\newblock{\par}%\r
+      \else\r
+        \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%\r
+      \fi\r
+      \sloppy\clubpenalty4000\widowpenalty4000%\r
+      \sfcode`\.=\@m}\r
+     {\def\@noitemerr\r
+       {\@latex@warning{Empty `thebibliography' environment}}%\r
+      \endlist}\r
+      \def\@cite#1{#1}%\r
+      \def\@lbibitem[#1]#2{\item[]\if@filesw\r
+        {\def\protect##1{\string ##1\space}\immediate\r
+      \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}\r
+   \fi\r
+\else\r
+\@cons\@openbib@code{\noexpand\small}\r
+\fi\r
+\r
+\def\idxquad{\hskip 10\p@}% space that divides entry from number\r
+\r
+\def\@idxitem{\par\hangindent 10\p@}\r
+\r
+\def\subitem{\par\setbox0=\hbox{--\enspace}% second order\r
+                \noindent\hangindent\wd0\box0}% index entry\r
+\r
+\def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third\r
+                \noindent\hangindent\wd0\box0}% order index entry\r
+\r
+\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}\r
+\r
+\renewenvironment{theindex}\r
+               {\@mkboth{\indexname}{\indexname}%\r
+                \thispagestyle{empty}\parindent\z@\r
+                \parskip\z@ \@plus .3\p@\relax\r
+                \let\item\par\r
+                \def\,{\relax\ifmmode\mskip\thinmuskip\r
+                             \else\hskip0.2em\ignorespaces\fi}%\r
+                \normalfont\small\r
+                \begin{multicols}{2}[\@makeschapterhead{\indexname}]%\r
+                }\r
+                {\end{multicols}}\r
+\r
+\renewcommand\footnoterule{%\r
+  \kern-3\p@\r
+  \hrule\@width 2truecm\r
+  \kern2.6\p@}\r
+  \newdimen\fnindent\r
+  \fnindent1em\r
+\long\def\@makefntext#1{%\r
+    \parindent \fnindent%\r
+    \leftskip \fnindent%\r
+    \noindent\r
+    \llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1}\r
+\r
+\long\def\@makecaption#1#2{%\r
+  \small\r
+  \vskip\abovecaptionskip\r
+  \sbox\@tempboxa{{\bfseries #1.} #2}%\r
+  \ifdim \wd\@tempboxa >\hsize\r
+    {\bfseries #1.} #2\par\r
+  \else\r
+    \global \@minipagefalse\r
+    \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%\r
+  \fi\r
+  \vskip\belowcaptionskip}\r
+\r
+\def\fps@figure{htbp}\r
+\def\fnum@figure{\figurename\thinspace\thefigure}\r
+\def \@floatboxreset {%\r
+        \reset@font\r
+        \small\r
+        \@setnobreak\r
+        \@setminipage\r
+}\r
+\def\fps@table{htbp}\r
+\def\fnum@table{\tablename~\thetable}\r
+\renewenvironment{table}\r
+               {\setlength\abovecaptionskip{0\p@}%\r
+                \setlength\belowcaptionskip{10\p@}%\r
+                \@float{table}}\r
+               {\end@float}\r
+\renewenvironment{table*}\r
+               {\setlength\abovecaptionskip{0\p@}%\r
+                \setlength\belowcaptionskip{10\p@}%\r
+                \@dblfloat{table}}\r
+               {\end@dblfloat}\r
+\r
+\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname\r
+  ext@#1\endcsname}{#1}{\protect\numberline{\csname\r
+  the#1\endcsname}{\ignorespaces #2}}\begingroup\r
+    \@parboxrestore\r
+    \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par\r
+  \endgroup}\r
+\r
+% LaTeX does not provide a command to enter the authors institute\r
+% addresses. The \institute command is defined here.\r
+\r
+\newcounter{@inst}\r
+\newcounter{@auth}\r
+\newcounter{auco}\r
+\newdimen\instindent\r
+\newbox\authrun\r
+\newtoks\authorrunning\r
+\newtoks\tocauthor\r
+\newbox\titrun\r
+\newtoks\titlerunning\r
+\newtoks\toctitle\r
+\r
+\def\clearheadinfo{\gdef\@author{No Author Given}%\r
+                   \gdef\@title{No Title Given}%\r
+                   \gdef\@subtitle{}%\r
+                   \gdef\@institute{No Institute Given}%\r
+                   \gdef\@thanks{}%\r
+                   \global\titlerunning={}\global\authorrunning={}%\r
+                   \global\toctitle={}\global\tocauthor={}}\r
+\r
+\def\institute#1{\gdef\@institute{#1}}\r
+\r
+\def\institutename{\par\r
+ \begingroup\r
+ \parskip=\z@\r
+ \parindent=\z@\r
+ \setcounter{@inst}{1}%\r
+ \def\and{\par\stepcounter{@inst}%\r
+ \noindent$^{\the@inst}$\enspace\ignorespaces}%\r
+ \setbox0=\vbox{\def\thanks##1{}\@institute}%\r
+ \ifnum\c@@inst=1\relax\r
+   \gdef\fnnstart{0}%\r
+ \else\r
+   \xdef\fnnstart{\c@@inst}%\r
+   \setcounter{@inst}{1}%\r
+   \noindent$^{\the@inst}$\enspace\r
+ \fi\r
+ \ignorespaces\r
+ \@institute\par\r
+ \endgroup}\r
+\r
+\def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or\r
+   {\star\star\star}\or \dagger\or \ddagger\or\r
+   \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger\r
+   \or \ddagger\ddagger \else\@ctrerr\fi}}\r
+\r
+\def\inst#1{\unskip$^{#1}$}\r
+\def\fnmsep{\unskip$^,$}\r
+\def\email#1{{\tt#1}}\r
+\AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}%\r
+\@ifpackageloaded{babel}{%\r
+\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}%\r
+\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}%\r
+\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}%\r
+\@ifundefined{extrasngerman}{}{\addto\extrasngerman{\switcht@deutsch}}%\r
+}{\switcht@@therlang}%\r
+\providecommand{\keywords}[1]{\par\addvspace\baselineskip\r
+\noindent\keywordname\enspace\ignorespaces#1}%\r
+}\r
+\def\homedir{\~{ }}\r
+\r
+\def\subtitle#1{\gdef\@subtitle{#1}}\r
+\clearheadinfo\r
+%\r
+%%% to avoid hyperref warnings\r
+\providecommand*{\toclevel@author}{999}\r
+%%% to make title-entry parent of section-entries\r
+\providecommand*{\toclevel@title}{0}\r
+%\r
+\renewcommand\maketitle{\newpage\r
+\phantomsection\r
+  \refstepcounter{chapter}%\r
+  \stepcounter{section}%\r
+  \setcounter{section}{0}%\r
+  \setcounter{subsection}{0}%\r
+  \setcounter{figure}{0}\r
+  \setcounter{table}{0}\r
+  \setcounter{equation}{0}\r
+  \setcounter{footnote}{0}%\r
+  \begingroup\r
+    \parindent=\z@\r
+    \renewcommand\thefootnote{\@fnsymbol\c@footnote}%\r
+    \if@twocolumn\r
+      \ifnum \col@number=\@ne\r
+        \@maketitle\r
+      \else\r
+        \twocolumn[\@maketitle]%\r
+      \fi\r
+    \else\r
+      \newpage\r
+      \global\@topnum\z@   % Prevents figures from going at top of page.\r
+      \@maketitle\r
+    \fi\r
+    \thispagestyle{empty}\@thanks\r
+%\r
+    \def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}%\r
+    \def\thanks##1{\unskip{}}\def\fnmsep{\unskip}%\r
+    \instindent=\hsize\r
+    \advance\instindent by-\headlineindent\r
+    \if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else\r
+       \addcontentsline{toc}{title}{\the\toctitle}\fi\r
+    \if@runhead\r
+       \if!\the\titlerunning!\else\r
+         \edef\@title{\the\titlerunning}%\r
+       \fi\r
+       \global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}%\r
+       \ifdim\wd\titrun>\instindent\r
+          \typeout{Title too long for running head. Please supply}%\r
+          \typeout{a shorter form with \string\titlerunning\space prior to\r
+                   \string\maketitle}%\r
+          \global\setbox\titrun=\hbox{\small\rm\r
+          Title Suppressed Due to Excessive Length}%\r
+       \fi\r
+       \xdef\@title{\copy\titrun}%\r
+    \fi\r
+%\r
+    \if!\the\tocauthor!\relax\r
+      {\def\and{\noexpand\protect\noexpand\and}%\r
+      \protected@xdef\toc@uthor{\@author}}%\r
+    \else\r
+      \def\\{\noexpand\protect\noexpand\newline}%\r
+      \protected@xdef\scratch{\the\tocauthor}%\r
+      \protected@xdef\toc@uthor{\scratch}%\r
+    \fi\r
+    \addtocontents{toc}{\noexpand\protect\noexpand\authcount{\the\c@auco}}%\r
+    \addcontentsline{toc}{author}{\toc@uthor}%\r
+    \if@runhead\r
+       \if!\the\authorrunning!\r
+         \value{@inst}=\value{@auth}%\r
+         \setcounter{@auth}{1}%\r
+       \else\r
+         \edef\@author{\the\authorrunning}%\r
+       \fi\r
+       \global\setbox\authrun=\hbox{\small\unboldmath\@author\unskip}%\r
+       \ifdim\wd\authrun>\instindent\r
+          \typeout{Names of authors too long for running head. Please supply}%\r
+          \typeout{a shorter form with \string\authorrunning\space prior to\r
+                   \string\maketitle}%\r
+          \global\setbox\authrun=\hbox{\small\rm\r
+          Authors Suppressed Due to Excessive Length}%\r
+       \fi\r
+       \xdef\@author{\copy\authrun}%\r
+       \markboth{\@author}{\@title}%\r
+     \fi\r
+  \endgroup\r
+  \setcounter{footnote}{\fnnstart}%\r
+  \clearheadinfo}\r
+%\r
+\def\@maketitle{\newpage\r
+ \markboth{}{}%\r
+ \def\lastand{\ifnum\value{@inst}=2\relax\r
+                 \unskip{} \andname\\r
+              \else\r
+                 \unskip \lastandname\\r
+              \fi}%\r
+ \def\and{\stepcounter{@auth}\relax\r
+          \ifnum\value{@auth}=\value{@inst}%\r
+             \lastand\r
+          \else\r
+             \unskip,\r
+          \fi}%\r
+ \begin{center}%\r
+ \let\newline\\\r
+ {\Large \bfseries\boldmath\r
+  \pretolerance=10000\r
+  \@title \par}\vskip .8cm\r
+\if!\@subtitle!\else {\large \bfseries\boldmath\r
+  \vskip -.65cm\r
+  \pretolerance=10000\r
+  \@subtitle \par}\vskip .8cm\fi\r
+ \setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}%\r
+ \def\thanks##1{}\@author}%\r
+ \global\value{@inst}=\value{@auth}%\r
+ \global\value{auco}=\value{@auth}%\r
+ \setcounter{@auth}{1}%\r
+{\lineskip .5em\r
+\noindent\ignorespaces\r
+\@author\vskip.35cm}\r
+ {\small\institutename}\r
+ \end{center}%\r
+ }\r
+\r
+% definition of the "\spnewtheorem" command.\r
+%\r
+% Usage:\r
+%\r
+%     \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font}\r
+% or  \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font}\r
+% or  \spnewtheorem*{env_nam}{caption}{cap_font}{body_font}\r
+%\r
+% New is "cap_font" and "body_font". It stands for\r
+% fontdefinition of the caption and the text itself.\r
+%\r
+% "\spnewtheorem*" gives a theorem without number.\r
+%\r
+% A defined spnewthoerem environment is used as described\r
+% by Lamport.\r
+%\r
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\r
+\r
+\def\@thmcountersep{}\r
+\def\@thmcounterend{.}\r
+\r
+\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}}\r
+\r
+% definition of \spnewtheorem with number\r
+\r
+\def\@spnthm#1#2{%\r
+  \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}}\r
+\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}}\r
+\r
+\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname\r
+   {\@definecounter{#1}\@addtoreset{#1}{#3}%\r
+   \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand\r
+     \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}%\r
+   \expandafter\xdef\csname #1name\endcsname{#2}%\r
+   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%\r
+                              \global\@namedef{end#1}{\@endtheorem}}}\r
+\r
+\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname\r
+   {\@definecounter{#1}%\r
+   \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%\r
+   \expandafter\xdef\csname #1name\endcsname{#2}%\r
+   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}%\r
+                               \global\@namedef{end#1}{\@endtheorem}}}\r
+\r
+\def\@spothm#1[#2]#3#4#5{%\r
+  \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}%\r
+  {\expandafter\@ifdefinable\csname #1\endcsname\r
+  {\newaliascnt{#1}{#2}%\r
+  \expandafter\xdef\csname #1name\endcsname{#3}%\r
+  \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%\r
+  \global\@namedef{end#1}{\@endtheorem}}}}\r
+\r
+\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@\r
+\refstepcounter{#1}%\r
+\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}}\r
+\r
+\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}%\r
+                    \ignorespaces}\r
+\r
+\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname\r
+       the#1\endcsname}{#5}{#3}{#4}\ignorespaces}\r
+\r
+\def\@spbegintheorem#1#2#3#4{\trivlist\r
+                 \item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4}\r
+\r
+\def\@spopargbegintheorem#1#2#3#4#5{\trivlist\r
+      \item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5}\r
+\r
+% definition of \spnewtheorem* without number\r
+\r
+\def\@sthm#1#2{\@Ynthm{#1}{#2}}\r
+\r
+\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname\r
+   {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}%\r
+    \expandafter\xdef\csname #1name\endcsname{#2}%\r
+    \global\@namedef{end#1}{\@endtheorem}}}\r
+\r
+\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@\r
+\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}}\r
+\r
+\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces}\r
+\r
+\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1}\r
+       {#4}{#2}{#3}\ignorespaces}\r
+\r
+\def\@Begintheorem#1#2#3{#3\trivlist\r
+                           \item[\hskip\labelsep{#2#1\@thmcounterend}]}\r
+\r
+\def\@Opargbegintheorem#1#2#3#4{#4\trivlist\r
+      \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }}\r
+\r
+\if@envcntsect\r
+   \def\@thmcountersep{.}\r
+   \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape}\r
+\else\r
+   \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape}\r
+   \if@envcntreset\r
+      \@addtoreset{theorem}{section}\r
+   \else\r
+      \@addtoreset{theorem}{chapter}\r
+   \fi\r
+\fi\r
+\r
+%definition of divers theorem environments\r
+\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily}\r
+\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily}\r
+\if@envcntsame % alle Umgebungen wie Theorem.\r
+   \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}}\r
+\else % alle Umgebungen mit eigenem Zaehler\r
+   \if@envcntsect % mit section numeriert\r
+      \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}}\r
+   \else % nicht mit section numeriert\r
+      \if@envcntreset\r
+         \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}\r
+                                   \@addtoreset{#1}{section}}\r
+      \else\r
+         \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}\r
+                                   \@addtoreset{#1}{chapter}}%\r
+      \fi\r
+   \fi\r
+\fi\r
+\spn@wtheorem{case}{Case}{\itshape}{\rmfamily}\r
+\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily}\r
+\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape}\r
+\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape}\r
+\spn@wtheorem{example}{Example}{\itshape}{\rmfamily}\r
+\spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily}\r
+\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape}\r
+\spn@wtheorem{note}{Note}{\itshape}{\rmfamily}\r
+\spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily}\r
+\spn@wtheorem{property}{Property}{\itshape}{\rmfamily}\r
+\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape}\r
+\spn@wtheorem{question}{Question}{\itshape}{\rmfamily}\r
+\spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily}\r
+\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily}\r
+\r
+\def\@takefromreset#1#2{%\r
+    \def\@tempa{#1}%\r
+    \let\@tempd\@elt\r
+    \def\@elt##1{%\r
+        \def\@tempb{##1}%\r
+        \ifx\@tempa\@tempb\else\r
+            \@addtoreset{##1}{#2}%\r
+        \fi}%\r
+    \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname\r
+    \expandafter\def\csname cl@#2\endcsname{}%\r
+    \@tempc\r
+    \let\@elt\@tempd}\r
+\r
+\def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist\r
+      \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5}\r
+                  \def\@Opargbegintheorem##1##2##3##4{##4\trivlist\r
+      \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}\r
+      }\r
+\r
+\renewenvironment{abstract}{%\r
+      \list{}{\advance\topsep by0.35cm\relax\small\r
+      \leftmargin=1cm\r
+      \labelwidth=\z@\r
+      \listparindent=\z@\r
+      \itemindent\listparindent\r
+      \rightmargin\leftmargin}\item[\hskip\labelsep\r
+                                    \bfseries\abstractname]}\r
+    {\endlist}\r
+\r
+\newdimen\headlineindent             % dimension for space between\r
+\headlineindent=1.166cm              % number and text of headings.\r
+\r
+\def\ps@headings{\let\@mkboth\@gobbletwo\r
+   \let\@oddfoot\@empty\let\@evenfoot\@empty\r
+   \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%\r
+                  \leftmark\hfil}\r
+   \def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}%\r
+                 \llap{\thepage}}\r
+   \def\chaptermark##1{}%\r
+   \def\sectionmark##1{}%\r
+   \def\subsectionmark##1{}}\r
+\r
+\def\ps@titlepage{\let\@mkboth\@gobbletwo\r
+   \let\@oddfoot\@empty\let\@evenfoot\@empty\r
+   \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%\r
+                  \hfil}\r
+   \def\@oddhead{\normalfont\small\hfil\hspace{\headlineindent}%\r
+                 \llap{\thepage}}\r
+   \def\chaptermark##1{}%\r
+   \def\sectionmark##1{}%\r
+   \def\subsectionmark##1{}}\r
+\r
+\if@runhead\ps@headings\else\r
+\ps@empty\fi\r
+\r
+\setlength\arraycolsep{1.4\p@}\r
+\setlength\tabcolsep{1.4\p@}\r
+\r
+\endinput\r
+%end of file llncs.cls\r

diff --git a/llncs.dem b/llncs.dem
new file mode 100644 (file)
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--- /dev/null
+++ b/llncs.dem
@@ -0,0 +1,1093 @@
+% This is LLNCS.DEM the demonstration file of\r
+% the LaTeX macro package from Springer-Verlag\r
+% for Lecture Notes in Computer Science,\r
+% version 2.4 for LaTeX2e as of 16. April 2010\r
+%\r
+\documentclass{llncs}\r
+%\r
+\usepackage{makeidx}  % allows for indexgeneration\r
+%\r
+\begin{document}\r
+%\r
+\frontmatter          % for the preliminaries\r
+%\r
+\pagestyle{headings}  % switches on printing of running heads\r
+\addtocmark{Hamiltonian Mechanics} % additional mark in the TOC\r
+%\r
+\chapter*{Preface}\r
+%\r
+This textbook is intended for use by students of physics, physical\r
+chemistry, and theoretical chemistry. The reader is presumed to have a\r
+basic knowledge of atomic and quantum physics at the level provided, for\r
+example, by the first few chapters in our book {\it The Physics of Atoms\r
+and Quanta}. The student of physics will find here material which should\r
+be included in the basic education of every physicist. This book should\r
+furthermore allow students to acquire an appreciation of the breadth and\r
+variety within the field of molecular physics and its future as a\r
+fascinating area of research.\r
+\r
+For the student of chemistry, the concepts introduced in this book will\r
+provide a theoretical framework for that entire field of study. With the\r
+help of these concepts, it is at least in principle possible to reduce\r
+the enormous body of empirical chemical knowledge to a few basic\r
+principles: those of quantum mechanics. In addition, modern physical\r
+methods whose fundamentals are introduced here are becoming increasingly\r
+important in chemistry and now represent indispensable tools for the\r
+chemist. As examples, we might mention the structural analysis of\r
+complex organic compounds, spectroscopic investigation of very rapid\r
+reaction processes or, as a practical application, the remote detection\r
+of pollutants in the air.\r
+\r
+\vspace{1cm}\r
+\begin{flushright}\noindent\r
+April 1995\hfill Walter Olthoff\\\r
+Program Chair\\\r
+ECOOP'95\r
+\end{flushright}\r
+%\r
+\chapter*{Organization}\r
+ECOOP'95 is organized by the department of Computer Science, Univeristy\r
+of \AA rhus and AITO (association Internationa pour les Technologie\r
+Object) in cooperation with ACM/SIGPLAN.\r
+%\r
+\section*{Executive Commitee}\r
+\begin{tabular}{@{}p{5cm}@{}p{7.2cm}@{}}\r
+Conference Chair:&Ole Lehrmann Madsen (\AA rhus University, DK)\\\r
+Program Chair:   &Walter Olthoff (DFKI GmbH, Germany)\\\r
+Organizing Chair:&J\o rgen Lindskov Knudsen (\AA rhus University, DK)\\\r
+Tutorials:&Birger M\o ller-Pedersen\hfil\break\r
+(Norwegian Computing Center, Norway)\\\r
+Workshops:&Eric Jul (University of Kopenhagen, Denmark)\\\r
+Panels:&Boris Magnusson (Lund University, Sweden)\\\r
+Exhibition:&Elmer Sandvad (\AA rhus University, DK)\\\r
+Demonstrations:&Kurt N\o rdmark (\AA rhus University, DK)\r
+\end{tabular}\r
+%\r
+\section*{Program Commitee}\r
+\begin{tabular}{@{}p{5cm}@{}p{7.2cm}@{}}\r
+Conference Chair:&Ole Lehrmann Madsen (\AA rhus University, DK)\\\r
+Program Chair:   &Walter Olthoff (DFKI GmbH, Germany)\\\r
+Organizing Chair:&J\o rgen Lindskov Knudsen (\AA rhus University, DK)\\\r
+Tutorials:&Birger M\o ller-Pedersen\hfil\break\r
+(Norwegian Computing Center, Norway)\\\r
+Workshops:&Eric Jul (University of Kopenhagen, Denmark)\\\r
+Panels:&Boris Magnusson (Lund University, Sweden)\\\r
+Exhibition:&Elmer Sandvad (\AA rhus University, DK)\\\r
+Demonstrations:&Kurt N\o rdmark (\AA rhus University, DK)\r
+\end{tabular}\r
+%\r
+\begin{multicols}{3}[\section*{Referees}]\r
+V.~Andreev\\\r
+B\"arwolff\\\r
+E.~Barrelet\\\r
+H.P.~Beck\\\r
+G.~Bernardi\\\r
+E.~Binder\\\r
+P.C.~Bosetti\\\r
+Braunschweig\\\r
+F.W.~B\"usser\\\r
+T.~Carli\\\r
+A.B.~Clegg\\\r
+G.~Cozzika\\\r
+S.~Dagoret\\\r
+Del~Buono\\\r
+P.~Dingus\\\r
+H.~Duhm\\\r
+J.~Ebert\\\r
+S.~Eichenberger\\\r
+R.J.~Ellison\\\r
+Feltesse\\\r
+W.~Flauger\\\r
+A.~Fomenko\\\r
+G.~Franke\\\r
+J.~Garvey\\\r
+M.~Gennis\\\r
+L.~Goerlich\\\r
+P.~Goritchev\\\r
+H.~Greif\\\r
+E.M.~Hanlon\\\r
+R.~Haydar\\\r
+R.C.W.~Henderso\\\r
+P.~Hill\\\r
+H.~Hufnagel\\\r
+A.~Jacholkowska\\\r
+Johannsen\\\r
+S.~Kasarian\\\r
+I.R.~Kenyon\\\r
+C.~Kleinwort\\\r
+T.~K\"ohler\\\r
+S.D.~Kolya\\\r
+P.~Kostka\\\r
+U.~Kr\"uger\\\r
+J.~Kurzh\"ofer\\\r
+M.P.J.~Landon\\\r
+A.~Lebedev\\\r
+Ch.~Ley\\\r
+F.~Linsel\\\r
+H.~Lohmand\\\r
+Martin\\\r
+S.~Masson\\\r
+K.~Meier\\\r
+C.A.~Meyer\\\r
+S.~Mikocki\\\r
+J.V.~Morris\\\r
+B.~Naroska\\\r
+Nguyen\\\r
+U.~Obrock\\\r
+G.D.~Patel\\\r
+Ch.~Pichler\\\r
+S.~Prell\\\r
+F.~Raupach\\\r
+V.~Riech\\\r
+P.~Robmann\\\r
+N.~Sahlmann\\\r
+P.~Schleper\\\r
+Sch\"oning\\\r
+B.~Schwab\\\r
+A.~Semenov\\\r
+G.~Siegmon\\\r
+J.R.~Smith\\\r
+M.~Steenbock\\\r
+U.~Straumann\\\r
+C.~Thiebaux\\\r
+P.~Van~Esch\\\r
+from Yerevan Ph\\\r
+L.R.~West\\\r
+G.-G.~Winter\\\r
+T.P.~Yiou\\\r
+M.~Zimmer\end{multicols}\r
+%\r
+\section*{Sponsoring Institutions}\r
+%\r
+Bernauer-Budiman Inc., Reading, Mass.\\\r
+The Hofmann-International Company, San Louis Obispo, Cal.\\\r
+Kramer Industries, Heidelberg, Germany\r
+%\r
+\tableofcontents\r
+%\r
+\mainmatter              % start of the contributions\r
+%\r
+\title{Hamiltonian Mechanics unter besonderer Ber\"ucksichtigung der\r
+h\"ohreren Lehranstalten}\r
+%\r
+\titlerunning{Hamiltonian Mechanics}  % abbreviated title (for running head)\r
+%                                     also used for the TOC unless\r
+%                                     \toctitle is used\r
+%\r
+\author{Ivar Ekeland\inst{1} \and Roger Temam\inst{2}\r
+Jeffrey Dean \and David Grove \and Craig Chambers \and Kim~B.~Bruce \and\r
+Elsa Bertino}\r
+%\r
+\authorrunning{Ivar Ekeland et al.} % abbreviated author list (for running head)\r
+%\r
+%%%% list of authors for the TOC (use if author list has to be modified)\r
+\tocauthor{Ivar Ekeland, Roger Temam, Jeffrey Dean, David Grove,\r
+Craig Chambers, Kim B. Bruce, and Elisa Bertino}\r
+%\r
+\institute{Princeton University, Princeton NJ 08544, USA,\\\r
+\email{I.Ekeland@princeton.edu},\\ WWW home page:\r
+\texttt{http://users/\homedir iekeland/web/welcome.html}\r
+\and\r
+Universit\'{e} de Paris-Sud,\r
+Laboratoire d'Analyse Num\'{e}rique, B\^{a}timent 425,\\\r
+F-91405 Orsay Cedex, France}\r
+\r
+\maketitle              % typeset the title of the contribution\r
+\r
+\begin{abstract}\r
+The abstract should summarize the contents of the paper\r
+using at least 70 and at most 150 words. It will be set in 9-point\r
+font size and be inset 1.0 cm from the right and left margins.\r
+There will be two blank lines before and after the Abstract. \dots\r
+\keywords{computational geometry, graph theory, Hamilton cycles}\r
+\end{abstract}\r
+%\r
+\section{Fixed-Period Problems: The Sublinear Case}\r
+%\r
+With this chapter, the preliminaries are over, and we begin the search\r
+for periodic solutions to Hamiltonian systems. All this will be done in\r
+the convex case; that is, we shall study the boundary-value problem\r
+\begin{eqnarray*}\r
+  \dot{x}&=&JH' (t,x)\\\r
+  x(0) &=& x(T)\r
+\end{eqnarray*}\r
+with $H(t,\cdot)$ a convex function of $x$, going to $+\infty$ when\r
+$\left\|x\right\| \to \infty$.\r
+\r
+%\r
+\subsection{Autonomous Systems}\r
+%\r
+In this section, we will consider the case when the Hamiltonian $H(x)$\r
+is autonomous. For the sake of simplicity, we shall also assume that it\r
+is $C^{1}$.\r
+\r
+We shall first consider the question of nontriviality, within the\r
+general framework of\r
+$\left(A_{\infty},B_{\infty}\right)$-subquadratic Hamiltonians. In\r
+the second subsection, we shall look into the special case when $H$ is\r
+$\left(0,b_{\infty}\right)$-subquadratic,\r
+and we shall try to derive additional information.\r
+%\r
+\subsubsection{The General Case: Nontriviality.}\r
+%\r
+We assume that $H$ is\r
+$\left(A_{\infty},B_{\infty}\right)$-sub\-qua\-dra\-tic at infinity,\r
+for some constant symmetric matrices $A_{\infty}$ and $B_{\infty}$,\r
+with $B_{\infty}-A_{\infty}$ positive definite. Set:\r
+\begin{eqnarray}\r
+\gamma :&=&{\rm smallest\ eigenvalue\ of}\ \ B_{\infty} - A_{\infty} \\\r
+  \lambda : &=& {\rm largest\ negative\ eigenvalue\ of}\ \\r
+  J \frac{d}{dt} +A_{\infty}\ .\r
+\end{eqnarray}\r
+\r
+Theorem~\ref{ghou:pre} tells us that if $\lambda +\gamma < 0$, the\r
+boundary-value problem:\r
+\begin{equation}\r
+\begin{array}{rcl}\r
+  \dot{x}&=&JH' (x)\\\r
+  x(0)&=&x (T)\r
+\end{array}\r
+\end{equation}\r
+has at least one solution\r
+$\overline{x}$, which is found by minimizing the dual\r
+action functional:\r
+\begin{equation}\r
+  \psi (u) = \int_{o}^{T} \left[\frac{1}{2}\r
+  \left(\Lambda_{o}^{-1} u,u\right) + N^{\ast} (-u)\right] dt\r
+\end{equation}\r
+on the range of $\Lambda$, which is a subspace $R (\Lambda)_{L}^{2}$\r
+with finite codimension. Here\r
+\begin{equation}\r
+  N(x) := H(x) - \frac{1}{2} \left(A_{\infty} x,x\right)\r
+\end{equation}\r
+is a convex function, and\r
+\begin{equation}\r
+  N(x) \le \frac{1}{2}\r
+  \left(\left(B_{\infty} - A_{\infty}\right) x,x\right)\r
+  + c\ \ \ \forall x\ .\r
+\end{equation}\r
+\r
+%\r
+\begin{proposition}\r
+Assume $H'(0)=0$ and $ H(0)=0$. Set:\r
+\begin{equation}\r
+  \delta := \liminf_{x\to 0} 2 N (x) \left\|x\right\|^{-2}\ .\r
+  \label{eq:one}\r
+\end{equation}\r
+\r
+If $\gamma < - \lambda < \delta$,\r
+the solution $\overline{u}$ is non-zero:\r
+\begin{equation}\r
+  \overline{x} (t) \ne 0\ \ \ \forall t\ .\r
+\end{equation}\r
+\end{proposition}\r
+%\r
+\begin{proof}\r
+Condition (\ref{eq:one}) means that, for every\r
+$\delta ' > \delta$, there is some $\varepsilon > 0$ such that\r
+\begin{equation}\r
+  \left\|x\right\| \le \varepsilon \Rightarrow N (x) \le\r
+  \frac{\delta '}{2} \left\|x\right\|^{2}\ .\r
+\end{equation}\r
+\r
+It is an exercise in convex analysis, into which we shall not go, to\r
+show that this implies that there is an $\eta > 0$ such that\r
+\begin{equation}\r
+  f\left\|x\right\| \le \eta\r
+  \Rightarrow N^{\ast} (y) \le \frac{1}{2\delta '}\r
+  \left\|y\right\|^{2}\ .\r
+  \label{eq:two}\r
+\end{equation}\r
+\r
+\begin{figure}\r
+\vspace{2.5cm}\r
+\caption{This is the caption of the figure displaying a white eagle and\r
+a white horse on a snow field}\r
+\end{figure}\r
+\r
+Since $u_{1}$ is a smooth function, we will have\r
+$\left\|hu_{1}\right\|_\infty \le \eta$\r
+for $h$ small enough, and inequality (\ref{eq:two}) will hold,\r
+yielding thereby:\r
+\begin{equation}\r
+  \psi (hu_{1}) \le \frac{h^{2}}{2}\r
+  \frac{1}{\lambda} \left\|u_{1} \right\|_{2}^{2} + \frac{h^{2}}{2}\r
+  \frac{1}{\delta '} \left\|u_{1}\right\|^{2}\ .\r
+\end{equation}\r
+\r
+If we choose $\delta '$ close enough to $\delta$, the quantity\r
+$\left(\frac{1}{\lambda} + \frac{1}{\delta '}\right)$\r
+will be negative, and we end up with\r
+\begin{equation}\r
+  \psi (hu_{1}) < 0\ \ \ \ \ {\rm for}\ \ h\ne 0\ \ {\rm small}\ .\r
+\end{equation}\r
+\r
+On the other hand, we check directly that $\psi (0) = 0$. This shows\r
+that 0 cannot be a minimizer of $\psi$, not even a local one.\r
+So $\overline{u} \ne 0$ and\r
+$\overline{u} \ne \Lambda_{o}^{-1} (0) = 0$. \qed\r
+\end{proof}\r
+%\r
+\begin{corollary}\r
+Assume $H$ is $C^{2}$ and\r
+$\left(a_{\infty},b_{\infty}\right)$-subquadratic at infinity. Let\r
+$\xi_{1},\allowbreak\dots,\allowbreak\xi_{N}$  be the\r
+equilibria, that is, the solutions of $H' (\xi ) = 0$.\r
+Denote by $\omega_{k}$\r
+the smallest eigenvalue of $H'' \left(\xi_{k}\right)$, and set:\r
+\begin{equation}\r
+  \omega : = {\rm Min\,} \left\{\omega_{1},\dots,\omega_{k}\right\}\ .\r
+\end{equation}\r
+If:\r
+\begin{equation}\r
+  \frac{T}{2\pi} b_{\infty} <\r
+  - E \left[- \frac{T}{2\pi}a_{\infty}\right] <\r
+  \frac{T}{2\pi}\omega\r
+  \label{eq:three}\r
+\end{equation}\r
+then minimization of $\psi$ yields a non-constant $T$-periodic solution\r
+$\overline{x}$.\r
+\end{corollary}\r
+%\r
+\r
+We recall once more that by the integer part $E [\alpha ]$ of\r
+$\alpha \in \bbbr$, we mean the $a\in \bbbz$\r
+such that $a< \alpha \le a+1$. For instance,\r
+if we take $a_{\infty} = 0$, Corollary 2 tells\r
+us that $\overline{x}$ exists and is\r
+non-constant provided that:\r
+\r
+\begin{equation}\r
+  \frac{T}{2\pi} b_{\infty} < 1 < \frac{T}{2\pi}\r
+\end{equation}\r
+or\r
+\begin{equation}\r
+  T\in \left(\frac{2\pi}{\omega},\frac{2\pi}{b_{\infty}}\right)\ .\r
+  \label{eq:four}\r
+\end{equation}\r
+\r
+%\r
+\begin{proof}\r
+The spectrum of $\Lambda$ is $\frac{2\pi}{T} \bbbz +a_{\infty}$. The\r
+largest negative eigenvalue $\lambda$ is given by\r
+$\frac{2\pi}{T}k_{o} +a_{\infty}$,\r
+where\r
+\begin{equation}\r
+  \frac{2\pi}{T}k_{o} + a_{\infty} < 0\r
+  \le \frac{2\pi}{T} (k_{o} +1) + a_{\infty}\ .\r
+\end{equation}\r
+Hence:\r
+\begin{equation}\r
+  k_{o} = E \left[- \frac{T}{2\pi} a_{\infty}\right] \ .\r
+\end{equation}\r
+\r
+The condition $\gamma < -\lambda < \delta$ now becomes:\r
+\begin{equation}\r
+  b_{\infty} - a_{\infty} <\r
+  - \frac{2\pi}{T} k_{o} -a_{\infty} < \omega -a_{\infty}\r
+\end{equation}\r
+which is precisely condition (\ref{eq:three}).\qed\r
+\end{proof}\r
+%\r
+\r
+\begin{lemma}\r
+Assume that $H$ is $C^{2}$ on $\bbbr^{2n} \setminus \{ 0\}$ and\r
+that $H'' (x)$ is non-de\-gen\-er\-ate for any $x\ne 0$. Then any local\r
+minimizer $\widetilde{x}$ of $\psi$ has minimal period $T$.\r
+\end{lemma}\r
+%\r
+\begin{proof}\r
+We know that $\widetilde{x}$, or\r
+$\widetilde{x} + \xi$ for some constant $\xi\r
+\in \bbbr^{2n}$, is a $T$-periodic solution of the Hamiltonian system:\r
+\begin{equation}\r
+  \dot{x} = JH' (x)\ .\r
+\end{equation}\r
+\r
+There is no loss of generality in taking $\xi = 0$. So\r
+$\psi (x) \ge \psi (\widetilde{x} )$\r
+for all $\widetilde{x}$ in some neighbourhood of $x$ in\r
+$W^{1,2} \left(\bbbr / T\bbbz ; \bbbr^{2n}\right)$.\r
+\r
+But this index is precisely the index\r
+$i_{T} (\widetilde{x} )$ of the $T$-periodic\r
+solution $\widetilde{x}$ over the interval\r
+$(0,T)$, as defined in Sect.~2.6. So\r
+\begin{equation}\r
+  i_{T} (\widetilde{x} ) = 0\ .\r
+  \label{eq:five}\r
+\end{equation}\r
+\r
+Now if $\widetilde{x}$ has a lower period, $T/k$ say,\r
+we would have, by Corollary 31:\r
+\begin{equation}\r
+  i_{T} (\widetilde{x} ) =\r
+  i_{kT/k}(\widetilde{x} ) \ge\r
+  ki_{T/k} (\widetilde{x} ) + k-1 \ge k-1 \ge 1\ .\r
+\end{equation}\r
+\r
+This would contradict (\ref{eq:five}), and thus cannot happen.\qed\r
+\end{proof}\r
+%\r
+\paragraph{Notes and Comments.}\r
+The results in this section are a\r
+refined version of \cite{clar:eke};\r
+the minimality result of Proposition\r
+14 was the first of its kind.\r
+\r
+To understand the nontriviality conditions, such as the one in formula\r
+(\ref{eq:four}), one may think of a one-parameter family\r
+$x_{T}$, $T\in \left(2\pi\omega^{-1}, 2\pi b_{\infty}^{-1}\right)$\r
+of periodic solutions, $x_{T} (0) = x_{T} (T)$,\r
+with $x_{T}$ going away to infinity when $T\to 2\pi \omega^{-1}$,\r
+which is the period of the linearized system at 0.\r
+\r
+\begin{table}\r
+\caption{This is the example table taken out of {\it The\r
+\TeX{}book,} p.\,246}\r
+\begin{center}\r
+\begin{tabular}{r@{\quad}rl}\r
+\hline\r
+\multicolumn{1}{l}{\rule{0pt}{12pt}\r
+                   Year}&\multicolumn{2}{l}{World population}\\[2pt]\r
+\hline\rule{0pt}{12pt}\r
+8000 B.C.  &     5,000,000& \\\r
+  50 A.D.  &   200,000,000& \\\r
+1650 A.D.  &   500,000,000& \\\r
+1945 A.D.  & 2,300,000,000& \\\r
+1980 A.D.  & 4,400,000,000& \\[2pt]\r
+\hline\r
+\end{tabular}\r
+\end{center}\r
+\end{table}\r
+%\r
+\begin{theorem} [Ghoussoub-Preiss]\label{ghou:pre}\r
+Assume $H(t,x)$ is\r
+$(0,\varepsilon )$-subquadratic at\r
+infinity for all $\varepsilon > 0$, and $T$-periodic in $t$\r
+\begin{equation}\r
+  H (t,\cdot )\ \ \ \ \ {\rm is\ convex}\ \ \forall t\r
+\end{equation}\r
+\begin{equation}\r
+  H (\cdot ,x)\ \ \ \ \ {\rm is}\ \ T{\rm -periodic}\ \ \forall x\r
+\end{equation}\r
+\begin{equation}\r
+  H (t,x)\ge n\left(\left\|x\right\|\right)\ \ \ \ \\r
+  {\rm with}\ \ n (s)s^{-1}\to \infty\ \ {\rm as}\ \ s\to \infty\r
+\end{equation}\r
+\begin{equation}\r
+  \forall \varepsilon > 0\ ,\ \ \ \exists c\ :\\r
+  H(t,x) \le \frac{\varepsilon}{2}\left\|x\right\|^{2} + c\ .\r
+\end{equation}\r
+\r
+Assume also that $H$ is $C^{2}$, and $H'' (t,x)$ is positive definite\r
+everywhere. Then there is a sequence $x_{k}$, $k\in \bbbn$, of\r
+$kT$-periodic solutions of the system\r
+\begin{equation}\r
+  \dot{x} = JH' (t,x)\r
+\end{equation}\r
+such that, for every $k\in \bbbn$, there is some $p_{o}\in\bbbn$ with:\r
+\begin{equation}\r
+  p\ge p_{o}\Rightarrow x_{pk} \ne x_{k}\ .\r
+\end{equation}\r
+\qed\r
+\end{theorem}\r
+%\r
+\begin{example} [{{\rm External forcing}}]\r
+Consider the system:\r
+\begin{equation}\r
+  \dot{x} = JH' (x) + f(t)\r
+\end{equation}\r
+where the Hamiltonian $H$ is\r
+$\left(0,b_{\infty}\right)$-subquadratic, and the\r
+forcing term is a distribution on the circle:\r
+\begin{equation}\r
+  f = \frac{d}{dt} F + f_{o}\ \ \ \ \\r
+  {\rm with}\ \ F\in L^{2} \left(\bbbr / T\bbbz; \bbbr^{2n}\right)\ ,\r
+\end{equation}\r
+where $f_{o} : = T^{-1}\int_{o}^{T} f (t) dt$. For instance,\r
+\begin{equation}\r
+  f (t) = \sum_{k\in \bbbn} \delta_{k} \xi\ ,\r
+\end{equation}\r
+where $\delta_{k}$ is the Dirac mass at $t= k$ and\r
+$\xi \in \bbbr^{2n}$ is a\r
+constant, fits the prescription. This means that the system\r
+$\dot{x} = JH' (x)$ is being excited by a\r
+series of identical shocks at interval $T$.\r
+\end{example}\r
+%\r
+\begin{definition}\r
+Let $A_{\infty} (t)$ and $B_{\infty} (t)$ be symmetric\r
+operators in $\bbbr^{2n}$, depending continuously on\r
+$t\in [0,T]$, such that\r
+$A_{\infty} (t) \le B_{\infty} (t)$ for all $t$.\r
+\r
+A Borelian function\r
+$H: [0,T]\times \bbbr^{2n} \to \bbbr$\r
+is called\r
+$\left(A_{\infty} ,B_{\infty}\right)$-{\it subquadratic at infinity}\r
+if there exists a function $N(t,x)$ such that:\r
+\begin{equation}\r
+  H (t,x) = \frac{1}{2} \left(A_{\infty} (t) x,x\right) + N(t,x)\r
+\end{equation}\r
+\begin{equation}\r
+  \forall t\ ,\ \ \ N(t,x)\ \ \ \ \\r
+  {\rm is\ convex\ with\  respect\  to}\ \ x\r
+\end{equation}\r
+\begin{equation}\r
+  N(t,x) \ge n\left(\left\|x\right\|\right)\ \ \ \ \\r
+  {\rm with}\ \ n(s)s^{-1}\to +\infty\ \ {\rm as}\ \ s\to +\infty\r
+\end{equation}\r
+\begin{equation}\r
+  \exists c\in \bbbr\ :\ \ \ H (t,x) \le\r
+  \frac{1}{2} \left(B_{\infty} (t) x,x\right) + c\ \ \ \forall x\ .\r
+\end{equation}\r
+\r
+If $A_{\infty} (t) = a_{\infty} I$ and\r
+$B_{\infty} (t) = b_{\infty} I$, with\r
+$a_{\infty} \le b_{\infty} \in \bbbr$,\r
+we shall say that $H$ is\r
+$\left(a_{\infty},b_{\infty}\right)$-subquadratic\r
+at infinity. As an example, the function\r
+$\left\|x\right\|^{\alpha}$, with\r
+$1\le \alpha < 2$, is $(0,\varepsilon )$-subquadratic at infinity\r
+for every $\varepsilon > 0$. Similarly, the Hamiltonian\r
+\begin{equation}\r
+H (t,x) = \frac{1}{2} k \left\|k\right\|^{2} +\left\|x\right\|^{\alpha}\r
+\end{equation}\r
+is $(k,k+\varepsilon )$-subquadratic for every $\varepsilon > 0$.\r
+Note that, if $k<0$, it is not convex.\r
+\end{definition}\r
+%\r
+\r
+\paragraph{Notes and Comments.}\r
+The first results on subharmonics were\r
+obtained by Rabinowitz in \cite{rab}, who showed the existence of\r
+infinitely many subharmonics both in the subquadratic and superquadratic\r
+case, with suitable growth conditions on $H'$. Again the duality\r
+approach enabled Clarke and Ekeland in \cite{clar:eke:2} to treat the\r
+same problem in the convex-subquadratic case, with growth conditions on\r
+$H$ only.\r
+\r
+Recently, Michalek and Tarantello (see \cite{mich:tar} and \cite{tar})\r
+have obtained lower bound on the number of subharmonics of period $kT$,\r
+based on symmetry considerations and on pinching estimates, as in\r
+Sect.~5.2 of this article.\r
+\r
+%\r
+% ---- Bibliography ----\r
+%\r
+\begin{thebibliography}{5}\r
+%\r
+\bibitem {clar:eke}\r
+Clarke, F., Ekeland, I.:\r
+Nonlinear oscillations and\r
+boundary-value problems for Hamiltonian systems.\r
+Arch. Rat. Mech. Anal. 78, 315--333 (1982)\r
+\r
+\bibitem {clar:eke:2}\r
+Clarke, F., Ekeland, I.:\r
+Solutions p\'{e}riodiques, du\r
+p\'{e}riode donn\'{e}e, des \'{e}quations hamiltoniennes.\r
+Note CRAS Paris 287, 1013--1015 (1978)\r
+\r
+\bibitem {mich:tar}\r
+Michalek, R., Tarantello, G.:\r
+Subharmonic solutions with prescribed minimal\r
+period for nonautonomous Hamiltonian systems.\r
+J. Diff. Eq. 72, 28--55 (1988)\r
+\r
+\bibitem {tar}\r
+Tarantello, G.:\r
+Subharmonic solutions for Hamiltonian\r
+systems via a $\bbbz_{p}$ pseudoindex theory.\r
+Annali di Matematica Pura (to appear)\r
+\r
+\bibitem {rab}\r
+Rabinowitz, P.:\r
+On subharmonic solutions of a Hamiltonian system.\r
+Comm. Pure Appl. Math. 33, 609--633 (1980)\r
+\r
+\end{thebibliography}\r
+\r
+%\r
+% second contribution with nearly identical text,\r
+% slightly changed contribution head (all entries\r
+% appear as defaults), and modified bibliography\r
+%\r
+\title{Hamiltonian Mechanics2}\r
+\r
+\author{Ivar Ekeland\inst{1} \and Roger Temam\inst{2}}\r
+\r
+\institute{Princeton University, Princeton NJ 08544, USA\r
+\and\r
+Universit\'{e} de Paris-Sud,\r
+Laboratoire d'Analyse Num\'{e}rique, B\^{a}timent 425,\\\r
+F-91405 Orsay Cedex, France}\r
+\r
+\maketitle\r
+%\r
+% Modify the bibliography environment to call for the author-year\r
+% system. This is done normally with the citeauthoryear option\r
+% for a particular contribution.\r
+\makeatletter\r
+\renewenvironment{thebibliography}[1]\r
+     {\section*{\refname}\r
+      \small\r
+      \list{}%\r
+           {\settowidth\labelwidth{}%\r
+            \leftmargin\parindent\r
+            \itemindent=-\parindent\r
+            \labelsep=\z@\r
+            \if@openbib\r
+              \advance\leftmargin\bibindent\r
+              \itemindent -\bibindent\r
+              \listparindent \itemindent\r
+              \parsep \z@\r
+            \fi\r
+            \usecounter{enumiv}%\r
+            \let\p@enumiv\@empty\r
+            \renewcommand\theenumiv{}}%\r
+      \if@openbib\r
+        \renewcommand\newblock{\par}%\r
+      \else\r
+        \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%\r
+      \fi\r
+      \sloppy\clubpenalty4000\widowpenalty4000%\r
+      \sfcode`\.=\@m}\r
+     {\def\@noitemerr\r
+       {\@latex@warning{Empty `thebibliography' environment}}%\r
+      \endlist}\r
+      \def\@cite#1{#1}%\r
+      \def\@lbibitem[#1]#2{\item[]\if@filesw\r
+        {\def\protect##1{\string ##1\space}\immediate\r
+      \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}\r
+\makeatother\r
+%\r
+\begin{abstract}\r
+The abstract should summarize the contents of the paper\r
+using at least 70 and at most 150 words. It will be set in 9-point\r
+font size and be inset 1.0 cm from the right and left margins.\r
+There will be two blank lines before and after the Abstract. \dots\r
+\keywords{graph transformations, convex geometry, lattice computations,\r
+convex polygons, triangulations, discrete geometry}\r
+\end{abstract}\r
+%\r
+\section{Fixed-Period Problems: The Sublinear Case}\r
+%\r
+With this chapter, the preliminaries are over, and we begin the search\r
+for periodic solutions to Hamiltonian systems. All this will be done in\r
+the convex case; that is, we shall study the boundary-value problem\r
+\begin{eqnarray*}\r
+  \dot{x}&=&JH' (t,x)\\\r
+  x(0) &=& x(T)\r
+\end{eqnarray*}\r
+with $H(t,\cdot)$ a convex function of $x$, going to $+\infty$ when\r
+$\left\|x\right\| \to \infty$.\r
+\r
+%\r
+\subsection{Autonomous Systems}\r
+%\r
+In this section, we will consider the case when the Hamiltonian $H(x)$\r
+is autonomous. For the sake of simplicity, we shall also assume that it\r
+is $C^{1}$.\r
+\r
+We shall first consider the question of nontriviality, within the\r
+general framework of\r
+$\left(A_{\infty},B_{\infty}\right)$-subquadratic Hamiltonians. In\r
+the second subsection, we shall look into the special case when $H$ is\r
+$\left(0,b_{\infty}\right)$-subquadratic,\r
+and we shall try to derive additional information.\r
+%\r
+\subsubsection{The General Case: Nontriviality.}\r
+%\r
+We assume that $H$ is\r
+$\left(A_{\infty},B_{\infty}\right)$-sub\-qua\-dra\-tic at infinity,\r
+for some constant symmetric matrices $A_{\infty}$ and $B_{\infty}$,\r
+with $B_{\infty}-A_{\infty}$ positive definite. Set:\r
+\begin{eqnarray}\r
+\gamma :&=&{\rm smallest\ eigenvalue\ of}\ \ B_{\infty} - A_{\infty} \\\r
+  \lambda : &=& {\rm largest\ negative\ eigenvalue\ of}\ \\r
+  J \frac{d}{dt} +A_{\infty}\ .\r
+\end{eqnarray}\r
+\r
+Theorem 21 tells us that if $\lambda +\gamma < 0$, the boundary-value\r
+problem:\r
+\begin{equation}\r
+\begin{array}{rcl}\r
+  \dot{x}&=&JH' (x)\\\r
+  x(0)&=&x (T)\r
+\end{array}\r
+\end{equation}\r
+has at least one solution\r
+$\overline{x}$, which is found by minimizing the dual\r
+action functional:\r
+\begin{equation}\r
+  \psi (u) = \int_{o}^{T} \left[\frac{1}{2}\r
+  \left(\Lambda_{o}^{-1} u,u\right) + N^{\ast} (-u)\right] dt\r
+\end{equation}\r
+on the range of $\Lambda$, which is a subspace $R (\Lambda)_{L}^{2}$\r
+with finite codimension. Here\r
+\begin{equation}\r
+  N(x) := H(x) - \frac{1}{2} \left(A_{\infty} x,x\right)\r
+\end{equation}\r
+is a convex function, and\r
+\begin{equation}\r
+  N(x) \le \frac{1}{2}\r
+  \left(\left(B_{\infty} - A_{\infty}\right) x,x\right)\r
+  + c\ \ \ \forall x\ .\r
+\end{equation}\r
+\r
+%\r
+\begin{proposition}\r
+Assume $H'(0)=0$ and $ H(0)=0$. Set:\r
+\begin{equation}\r
+  \delta := \liminf_{x\to 0} 2 N (x) \left\|x\right\|^{-2}\ .\r
+  \label{2eq:one}\r
+\end{equation}\r
+\r
+If $\gamma < - \lambda < \delta$,\r
+the solution $\overline{u}$ is non-zero:\r
+\begin{equation}\r
+  \overline{x} (t) \ne 0\ \ \ \forall t\ .\r
+\end{equation}\r
+\end{proposition}\r
+%\r
+\begin{proof}\r
+Condition (\ref{2eq:one}) means that, for every\r
+$\delta ' > \delta$, there is some $\varepsilon > 0$ such that\r
+\begin{equation}\r
+  \left\|x\right\| \le \varepsilon \Rightarrow N (x) \le\r
+  \frac{\delta '}{2} \left\|x\right\|^{2}\ .\r
+\end{equation}\r
+\r
+It is an exercise in convex analysis, into which we shall not go, to\r
+show that this implies that there is an $\eta > 0$ such that\r
+\begin{equation}\r
+  f\left\|x\right\| \le \eta\r
+  \Rightarrow N^{\ast} (y) \le \frac{1}{2\delta '}\r
+  \left\|y\right\|^{2}\ .\r
+  \label{2eq:two}\r
+\end{equation}\r
+\r
+\begin{figure}\r
+\vspace{2.5cm}\r
+\caption{This is the caption of the figure displaying a white eagle and\r
+a white horse on a snow field}\r
+\end{figure}\r
+\r
+Since $u_{1}$ is a smooth function, we will have\r
+$\left\|hu_{1}\right\|_\infty \le \eta$\r
+for $h$ small enough, and inequality (\ref{2eq:two}) will hold,\r
+yielding thereby:\r
+\begin{equation}\r
+  \psi (hu_{1}) \le \frac{h^{2}}{2}\r
+  \frac{1}{\lambda} \left\|u_{1} \right\|_{2}^{2} + \frac{h^{2}}{2}\r
+  \frac{1}{\delta '} \left\|u_{1}\right\|^{2}\ .\r
+\end{equation}\r
+\r
+If we choose $\delta '$ close enough to $\delta$, the quantity\r
+$\left(\frac{1}{\lambda} + \frac{1}{\delta '}\right)$\r
+will be negative, and we end up with\r
+\begin{equation}\r
+  \psi (hu_{1}) < 0\ \ \ \ \ {\rm for}\ \ h\ne 0\ \ {\rm small}\ .\r
+\end{equation}\r
+\r
+On the other hand, we check directly that $\psi (0) = 0$. This shows\r
+that 0 cannot be a minimizer of $\psi$, not even a local one.\r
+So $\overline{u} \ne 0$ and\r
+$\overline{u} \ne \Lambda_{o}^{-1} (0) = 0$. \qed\r
+\end{proof}\r
+%\r
+\begin{corollary}\r
+Assume $H$ is $C^{2}$ and\r
+$\left(a_{\infty},b_{\infty}\right)$-subquadratic at infinity. Let\r
+$\xi_{1},\allowbreak\dots,\allowbreak\xi_{N}$  be the\r
+equilibria, that is, the solutions of $H' (\xi ) = 0$.\r
+Denote by $\omega_{k}$\r
+the smallest eigenvalue of $H'' \left(\xi_{k}\right)$, and set:\r
+\begin{equation}\r
+  \omega : = {\rm Min\,} \left\{\omega_{1},\dots,\omega_{k}\right\}\ .\r
+\end{equation}\r
+If:\r
+\begin{equation}\r
+  \frac{T}{2\pi} b_{\infty} <\r
+  - E \left[- \frac{T}{2\pi}a_{\infty}\right] <\r
+  \frac{T}{2\pi}\omega\r
+  \label{2eq:three}\r
+\end{equation}\r
+then minimization of $\psi$ yields a non-constant $T$-periodic solution\r
+$\overline{x}$.\r
+\end{corollary}\r
+%\r
+\r
+We recall once more that by the integer part $E [\alpha ]$ of\r
+$\alpha \in \bbbr$, we mean the $a\in \bbbz$\r
+such that $a< \alpha \le a+1$. For instance,\r
+if we take $a_{\infty} = 0$, Corollary 2 tells\r
+us that $\overline{x}$ exists and is\r
+non-constant provided that:\r
+\r
+\begin{equation}\r
+  \frac{T}{2\pi} b_{\infty} < 1 < \frac{T}{2\pi}\r
+\end{equation}\r
+or\r
+\begin{equation}\r
+  T\in \left(\frac{2\pi}{\omega},\frac{2\pi}{b_{\infty}}\right)\ .\r
+  \label{2eq:four}\r
+\end{equation}\r
+\r
+%\r
+\begin{proof}\r
+The spectrum of $\Lambda$ is $\frac{2\pi}{T} \bbbz +a_{\infty}$. The\r
+largest negative eigenvalue $\lambda$ is given by\r
+$\frac{2\pi}{T}k_{o} +a_{\infty}$,\r
+where\r
+\begin{equation}\r
+  \frac{2\pi}{T}k_{o} + a_{\infty} < 0\r
+  \le \frac{2\pi}{T} (k_{o} +1) + a_{\infty}\ .\r
+\end{equation}\r
+Hence:\r
+\begin{equation}\r
+  k_{o} = E \left[- \frac{T}{2\pi} a_{\infty}\right] \ .\r
+\end{equation}\r
+\r
+The condition $\gamma < -\lambda < \delta$ now becomes:\r
+\begin{equation}\r
+  b_{\infty} - a_{\infty} <\r
+  - \frac{2\pi}{T} k_{o} -a_{\infty} < \omega -a_{\infty}\r
+\end{equation}\r
+which is precisely condition (\ref{2eq:three}).\qed\r
+\end{proof}\r
+%\r
+\r
+\begin{lemma}\r
+Assume that $H$ is $C^{2}$ on $\bbbr^{2n} \setminus \{ 0\}$ and\r
+that $H'' (x)$ is non-de\-gen\-er\-ate for any $x\ne 0$. Then any local\r
+minimizer $\widetilde{x}$ of $\psi$ has minimal period $T$.\r
+\end{lemma}\r
+%\r
+\begin{proof}\r
+We know that $\widetilde{x}$, or\r
+$\widetilde{x} + \xi$ for some constant $\xi\r
+\in \bbbr^{2n}$, is a $T$-periodic solution of the Hamiltonian system:\r
+\begin{equation}\r
+  \dot{x} = JH' (x)\ .\r
+\end{equation}\r
+\r
+There is no loss of generality in taking $\xi = 0$. So\r
+$\psi (x) \ge \psi (\widetilde{x} )$\r
+for all $\widetilde{x}$ in some neighbourhood of $x$ in\r
+$W^{1,2} \left(\bbbr / T\bbbz ; \bbbr^{2n}\right)$.\r
+\r
+But this index is precisely the index\r
+$i_{T} (\widetilde{x} )$ of the $T$-periodic\r
+solution $\widetilde{x}$ over the interval\r
+$(0,T)$, as defined in Sect.~2.6. So\r
+\begin{equation}\r
+  i_{T} (\widetilde{x} ) = 0\ .\r
+  \label{2eq:five}\r
+\end{equation}\r
+\r
+Now if $\widetilde{x}$ has a lower period, $T/k$ say,\r
+we would have, by Corollary 31:\r
+\begin{equation}\r
+  i_{T} (\widetilde{x} ) =\r
+  i_{kT/k}(\widetilde{x} ) \ge\r
+  ki_{T/k} (\widetilde{x} ) + k-1 \ge k-1 \ge 1\ .\r
+\end{equation}\r
+\r
+This would contradict (\ref{2eq:five}), and thus cannot happen.\qed\r
+\end{proof}\r
+%\r
+\paragraph{Notes and Comments.}\r
+The results in this section are a\r
+refined version of \cite{2clar:eke};\r
+the minimality result of Proposition\r
+14 was the first of its kind.\r
+\r
+To understand the nontriviality conditions, such as the one in formula\r
+(\ref{2eq:four}), one may think of a one-parameter family\r
+$x_{T}$, $T\in \left(2\pi\omega^{-1}, 2\pi b_{\infty}^{-1}\right)$\r
+of periodic solutions, $x_{T} (0) = x_{T} (T)$,\r
+with $x_{T}$ going away to infinity when $T\to 2\pi \omega^{-1}$,\r
+which is the period of the linearized system at 0.\r
+\r
+\begin{table}\r
+\caption{This is the example table taken out of {\it The\r
+\TeX{}book,} p.\,246}\r
+\begin{center}\r
+\begin{tabular}{r@{\quad}rl}\r
+\hline\r
+\multicolumn{1}{l}{\rule{0pt}{12pt}\r
+                   Year}&\multicolumn{2}{l}{World population}\\[2pt]\r
+\hline\rule{0pt}{12pt}\r
+8000 B.C.  &     5,000,000& \\\r
+  50 A.D.  &   200,000,000& \\\r
+1650 A.D.  &   500,000,000& \\\r
+1945 A.D.  & 2,300,000,000& \\\r
+1980 A.D.  & 4,400,000,000& \\[2pt]\r
+\hline\r
+\end{tabular}\r
+\end{center}\r
+\end{table}\r
+%\r
+\begin{theorem} [Ghoussoub-Preiss]\r
+Assume $H(t,x)$ is\r
+$(0,\varepsilon )$-subquadratic at\r
+infinity for all $\varepsilon > 0$, and $T$-periodic in $t$\r
+\begin{equation}\r
+  H (t,\cdot )\ \ \ \ \ {\rm is\ convex}\ \ \forall t\r
+\end{equation}\r
+\begin{equation}\r
+  H (\cdot ,x)\ \ \ \ \ {\rm is}\ \ T{\rm -periodic}\ \ \forall x\r
+\end{equation}\r
+\begin{equation}\r
+  H (t,x)\ge n\left(\left\|x\right\|\right)\ \ \ \ \\r
+  {\rm with}\ \ n (s)s^{-1}\to \infty\ \ {\rm as}\ \ s\to \infty\r
+\end{equation}\r
+\begin{equation}\r
+  \forall \varepsilon > 0\ ,\ \ \ \exists c\ :\\r
+  H(t,x) \le \frac{\varepsilon}{2}\left\|x\right\|^{2} + c\ .\r
+\end{equation}\r
+\r
+Assume also that $H$ is $C^{2}$, and $H'' (t,x)$ is positive definite\r
+everywhere. Then there is a sequence $x_{k}$, $k\in \bbbn$, of\r
+$kT$-periodic solutions of the system\r
+\begin{equation}\r
+  \dot{x} = JH' (t,x)\r
+\end{equation}\r
+such that, for every $k\in \bbbn$, there is some $p_{o}\in\bbbn$ with:\r
+\begin{equation}\r
+  p\ge p_{o}\Rightarrow x_{pk} \ne x_{k}\ .\r
+\end{equation}\r
+\qed\r
+\end{theorem}\r
+%\r
+\begin{example} [{{\rm External forcing}}]\r
+Consider the system:\r
+\begin{equation}\r
+  \dot{x} = JH' (x) + f(t)\r
+\end{equation}\r
+where the Hamiltonian $H$ is\r
+$\left(0,b_{\infty}\right)$-subquadratic, and the\r
+forcing term is a distribution on the circle:\r
+\begin{equation}\r
+  f = \frac{d}{dt} F + f_{o}\ \ \ \ \\r
+  {\rm with}\ \ F\in L^{2} \left(\bbbr / T\bbbz; \bbbr^{2n}\right)\ ,\r
+\end{equation}\r
+where $f_{o} : = T^{-1}\int_{o}^{T} f (t) dt$. For instance,\r
+\begin{equation}\r
+  f (t) = \sum_{k\in \bbbn} \delta_{k} \xi\ ,\r
+\end{equation}\r
+where $\delta_{k}$ is the Dirac mass at $t= k$ and\r
+$\xi \in \bbbr^{2n}$ is a\r
+constant, fits the prescription. This means that the system\r
+$\dot{x} = JH' (x)$ is being excited by a\r
+series of identical shocks at interval $T$.\r
+\end{example}\r
+%\r
+\begin{definition}\r
+Let $A_{\infty} (t)$ and $B_{\infty} (t)$ be symmetric\r
+operators in $\bbbr^{2n}$, depending continuously on\r
+$t\in [0,T]$, such that\r
+$A_{\infty} (t) \le B_{\infty} (t)$ for all $t$.\r
+\r
+A Borelian function\r
+$H: [0,T]\times \bbbr^{2n} \to \bbbr$\r
+is called\r
+$\left(A_{\infty} ,B_{\infty}\right)$-{\it subquadratic at infinity}\r
+if there exists a function $N(t,x)$ such that:\r
+\begin{equation}\r
+  H (t,x) = \frac{1}{2} \left(A_{\infty} (t) x,x\right) + N(t,x)\r
+\end{equation}\r
+\begin{equation}\r
+  \forall t\ ,\ \ \ N(t,x)\ \ \ \ \\r
+  {\rm is\ convex\ with\  respect\  to}\ \ x\r
+\end{equation}\r
+\begin{equation}\r
+  N(t,x) \ge n\left(\left\|x\right\|\right)\ \ \ \ \\r
+  {\rm with}\ \ n(s)s^{-1}\to +\infty\ \ {\rm as}\ \ s\to +\infty\r
+\end{equation}\r
+\begin{equation}\r
+  \exists c\in \bbbr\ :\ \ \ H (t,x) \le\r
+  \frac{1}{2} \left(B_{\infty} (t) x,x\right) + c\ \ \ \forall x\ .\r
+\end{equation}\r
+\r
+If $A_{\infty} (t) = a_{\infty} I$ and\r
+$B_{\infty} (t) = b_{\infty} I$, with\r
+$a_{\infty} \le b_{\infty} \in \bbbr$,\r
+we shall say that $H$ is\r
+$\left(a_{\infty},b_{\infty}\right)$-subquadratic\r
+at infinity. As an example, the function\r
+$\left\|x\right\|^{\alpha}$, with\r
+$1\le \alpha < 2$, is $(0,\varepsilon )$-subquadratic at infinity\r
+for every $\varepsilon > 0$. Similarly, the Hamiltonian\r
+\begin{equation}\r
+H (t,x) = \frac{1}{2} k \left\|k\right\|^{2} +\left\|x\right\|^{\alpha}\r
+\end{equation}\r
+is $(k,k+\varepsilon )$-subquadratic for every $\varepsilon > 0$.\r
+Note that, if $k<0$, it is not convex.\r
+\end{definition}\r
+%\r
+\r
+\paragraph{Notes and Comments.}\r
+The first results on subharmonics were\r
+obtained by Rabinowitz in \cite{2rab}, who showed the existence of\r
+infinitely many subharmonics both in the subquadratic and superquadratic\r
+case, with suitable growth conditions on $H'$. Again the duality\r
+approach enabled Clarke and Ekeland in \cite{2clar:eke:2} to treat the\r
+same problem in the convex-subquadratic case, with growth conditions on\r
+$H$ only.\r
+\r
+Recently, Michalek and Tarantello (see Michalek, R., Tarantello, G.\r
+\cite{2mich:tar} and Tarantello, G. \cite{2tar}) have obtained lower\r
+bound on the number of subharmonics of period $kT$, based on symmetry\r
+considerations and on pinching estimates, as in Sect.~5.2 of this\r
+article.\r
+\r
+%\r
+% ---- Bibliography ----\r
+%\r
+\begin{thebibliography}{}\r
+%\r
+\bibitem[1980]{2clar:eke}\r
+Clarke, F., Ekeland, I.:\r
+Nonlinear oscillations and\r
+boundary-value problems for Hamiltonian systems.\r
+Arch. Rat. Mech. Anal. 78, 315--333 (1982)\r
+\r
+\bibitem[1981]{2clar:eke:2}\r
+Clarke, F., Ekeland, I.:\r
+Solutions p\'{e}riodiques, du\r
+p\'{e}riode donn\'{e}e, des \'{e}quations hamiltoniennes.\r
+Note CRAS Paris 287, 1013--1015 (1978)\r
+\r
+\bibitem[1982]{2mich:tar}\r
+Michalek, R., Tarantello, G.:\r
+Subharmonic solutions with prescribed minimal\r
+period for nonautonomous Hamiltonian systems.\r
+J. Diff. Eq. 72, 28--55 (1988)\r
+\r
+\bibitem[1983]{2tar}\r
+Tarantello, G.:\r
+Subharmonic solutions for Hamiltonian\r
+systems via a $\bbbz_{p}$ pseudoindex theory.\r
+Annali di Matematica Pura (to appear)\r
+\r
+\bibitem[1985]{2rab}\r
+Rabinowitz, P.:\r
+On subharmonic solutions of a Hamiltonian system.\r
+Comm. Pure Appl. Math. 33, 609--633 (1980)\r
+\r
+\end{thebibliography}\r
+\clearpage\r
+\addtocmark[2]{Author Index} % additional numbered TOC entry\r
+\renewcommand{\indexname}{Author Index}\r
+\printindex\r
+\clearpage\r
+\addtocmark[2]{Subject Index} % additional numbered TOC entry\r
+\markboth{Subject Index}{Subject Index}\r
+\renewcommand{\indexname}{Subject Index}\r
+\input{subjidx.ind}\r
+\end{document}\r

diff --git a/llncs.ind b/llncs.ind
new file mode 100644 (file)
index 0000000..70d4a36
--- /dev/null
+++ b/llncs.ind
@@ -0,0 +1,349 @@
+% This is LLNCS.IND the handmade demonstration\r
+% file for an author index from Springer-Verlag\r
+% for Lecture Notes in Computer Science,\r
+% version 2.2 for LaTeX2e\r
+%\r
+\begin{theindex}\r
+\item Abt~I.               \idxquad{7}\r
+\item Ahmed~T.             \idxquad{3}\r
+\item Andreev~V.           \idxquad{24}\r
+\item Andrieu~B.           \idxquad{27}\r
+\item Arpagaus~M.          \idxquad{34}\r
+\indexspace\r
+\item Babaev~A.            \idxquad{25}\r
+\item B\"arwolff~A.        \idxquad{33}\r
+\item B\'an~J.             \idxquad{17}\r
+\item Baranov~P.           \idxquad{24}\r
+\item Barrelet~E.          \idxquad{28}\r
+\item Bartel~W.            \idxquad{11}\r
+\item Bassler~U.           \idxquad{28}\r
+\item Beck~H.P.            \idxquad{35}\r
+\item Behrend~H.-J.        \idxquad{11}\r
+\item Berger~Ch.           \idxquad{1}\r
+\item Bergstein~H.         \idxquad{1}\r
+\item Bernardi~G.          \idxquad{28}\r
+\item Bernet~R.            \idxquad{34}\r
+\item Besan\c con~M.       \idxquad{9}\r
+\item Biddulph~P.          \idxquad{22}\r
+\item Binder~E.            \idxquad{11}\r
+\item Bischoff~A.          \idxquad{33}\r
+\item Blobel~V.            \idxquad{13}\r
+\item Borras~K.            \idxquad{8}\r
+\item Bosetti~P.C.         \idxquad{2}\r
+\item Boudry~V.            \idxquad{27}\r
+\item Brasse~F.            \idxquad{11}\r
+\item Braun~U.             \idxquad{2}\r
+\item Braunschweig~A.      \idxquad{1}\r
+\item Brisson~V.           \idxquad{26}\r
+\item B\"ungener~L.        \idxquad{13}\r
+\item B\"urger~J.          \idxquad{11}\r
+\item B\"usser~F.W.        \idxquad{13}\r
+\item Buniatian~A.         \idxquad{11,37}\r
+\item Buschhorn~G.         \idxquad{25}\r
+\indexspace\r
+\item Campbell~A.J.        \idxquad{1}\r
+\item Carli~T.             \idxquad{25}\r
+\item Charles~F.           \idxquad{28}\r
+\item Clarke~D.            \idxquad{5}\r
+\item Clegg~A.B.           \idxquad{18}\r
+\item Colombo~M.           \idxquad{8}\r
+\item Courau~A.            \idxquad{26}\r
+\item Coutures~Ch.         \idxquad{9}\r
+\item Cozzika~G.           \idxquad{9}\r
+\item Criegee~L.           \idxquad{11}\r
+\item Cvach~J.             \idxquad{27}\r
+\indexspace\r
+\item Dagoret~S.           \idxquad{28}\r
+\item Dainton~J.B.         \idxquad{19}\r
+\item Dann~A.W.E.          \idxquad{22}\r
+\item Dau~W.D.             \idxquad{16}\r
+\item Deffur~E.            \idxquad{11}\r
+\item Delcourt~B.          \idxquad{26}\r
+\item Buono~Del~A.         \idxquad{28}\r
+\item Devel~M.             \idxquad{26}\r
+\item De Roeck~A.          \idxquad{11}\r
+\item Dingus~P.            \idxquad{27}\r
+\item Dollfus~C.           \idxquad{35}\r
+\item Dreis~H.B.           \idxquad{2}\r
+\item Drescher~A.          \idxquad{8}\r
+\item D\"ullmann~D.        \idxquad{13}\r
+\item D\"unger~O.          \idxquad{13}\r
+\item Duhm~H.              \idxquad{12}\r
+\indexspace\r
+\item Ebbinghaus~R.        \idxquad{8}\r
+\item Eberle~M.            \idxquad{12}\r
+\item Ebert~J.             \idxquad{32}\r
+\item Ebert~T.R.           \idxquad{19}\r
+\item Efremenko~V.         \idxquad{23}\r
+\item Egli~S.              \idxquad{35}\r
+\item Eichenberger~S.      \idxquad{35}\r
+\item Eichler~R.           \idxquad{34}\r
+\item Eisenhandler~E.      \idxquad{20}\r
+\item Ellis~N.N.           \idxquad{3}\r
+\item Ellison~R.J.         \idxquad{22}\r
+\item Elsen~E.             \idxquad{11}\r
+\item Evrard~E.            \idxquad{4}\r
+\indexspace\r
+\item Favart~L.            \idxquad{4}\r
+\item Feeken~D.            \idxquad{13}\r
+\item Felst~R.             \idxquad{11}\r
+\item Feltesse~A.          \idxquad{9}\r
+\item Fensome~I.F.         \idxquad{3}\r
+\item Ferrarotto~F.        \idxquad{31}\r
+\item Flamm~K.             \idxquad{11}\r
+\item Flauger~W.           \idxquad{11}\r
+\item Flieser~M.           \idxquad{25}\r
+\item Fl\"ugge~G.          \idxquad{2}\r
+\item Fomenko~A.           \idxquad{24}\r
+\item Fominykh~B.          \idxquad{23}\r
+\item Form\'anek~J.        \idxquad{30}\r
+\item Foster~J.M.          \idxquad{22}\r
+\item Franke~G.            \idxquad{11}\r
+\item Fretwurst~E.         \idxquad{12}\r
+\indexspace\r
+\item Gabathuler~E.        \idxquad{19}\r
+\item Gamerdinger~K.       \idxquad{25}\r
+\item Garvey~J.            \idxquad{3}\r
+\item Gayler~J.            \idxquad{11}\r
+\item Gellrich~A.          \idxquad{13}\r
+\item Gennis~M.            \idxquad{11}\r
+\item Genzel~H.            \idxquad{1}\r
+\item Godfrey~L.           \idxquad{7}\r
+\item Goerlach~U.          \idxquad{11}\r
+\item Goerlich~L.          \idxquad{6}\r
+\item Gogitidze~N.         \idxquad{24}\r
+\item Goodall~A.M.         \idxquad{19}\r
+\item Gorelov~I.           \idxquad{23}\r
+\item Goritchev~P.         \idxquad{23}\r
+\item Grab~C.              \idxquad{34}\r
+\item Gr\"assler~R.        \idxquad{2}\r
+\item Greenshaw~T.         \idxquad{19}\r
+\item Greif~H.             \idxquad{25}\r
+\item Grindhammer~G.       \idxquad{25}\r
+\indexspace\r
+\item Haack~J.             \idxquad{33}\r
+\item Haidt~D.             \idxquad{11}\r
+\item Hamon~O.             \idxquad{28}\r
+\item Handschuh~D.         \idxquad{11}\r
+\item Hanlon~E.M.          \idxquad{18}\r
+\item Hapke~M.             \idxquad{11}\r
+\item Harjes~J.            \idxquad{11}\r
+\item Haydar~R.            \idxquad{26}\r
+\item Haynes~W.J.          \idxquad{5}\r
+\item Hedberg~V.           \idxquad{21}\r
+\item Heinzelmann~G.       \idxquad{13}\r
+\item Henderson~R.C.W.     \idxquad{18}\r
+\item Henschel~H.          \idxquad{33}\r
+\item Herynek~I.           \idxquad{29}\r
+\item Hildesheim~W.        \idxquad{11}\r
+\item Hill~P.              \idxquad{11}\r
+\item Hilton~C.D.          \idxquad{22}\r
+\item Hoeger~K.C.          \idxquad{22}\r
+\item Huet~Ph.             \idxquad{4}\r
+\item Hufnagel~H.          \idxquad{14}\r
+\item Huot~N.              \idxquad{28}\r
+\indexspace\r
+\item Itterbeck~H.         \idxquad{1}\r
+\indexspace\r
+\item Jabiol~M.-A.         \idxquad{9}\r
+\item Jacholkowska~A.      \idxquad{26}\r
+\item Jacobsson~C.         \idxquad{21}\r
+\item Jansen~T.            \idxquad{11}\r
+\item J\"onsson~L.         \idxquad{21}\r
+\item Johannsen~A.         \idxquad{13}\r
+\item Johnson~D.P.         \idxquad{4}\r
+\item Jung~H.              \idxquad{2}\r
+\indexspace\r
+\item Kalmus~P.I.P.        \idxquad{20}\r
+\item Kasarian~S.          \idxquad{11}\r
+\item Kaschowitz~R.        \idxquad{2}\r
+\item Kathage~U.           \idxquad{16}\r
+\item Kaufmann~H.          \idxquad{33}\r
+\item Kenyon~I.R.          \idxquad{3}\r
+\item Kermiche~S.          \idxquad{26}\r
+\item Kiesling~C.          \idxquad{25}\r
+\item Klein~M.             \idxquad{33}\r
+\item Kleinwort~C.         \idxquad{13}\r
+\item Knies~G.             \idxquad{11}\r
+\item Ko~W.                \idxquad{7}\r
+\item K\"ohler~T.          \idxquad{1}\r
+\item Kolanoski~H.         \idxquad{8}\r
+\item Kole~F.              \idxquad{7}\r
+\item Kolya~S.D.           \idxquad{22}\r
+\item Korbel~V.            \idxquad{11}\r
+\item Korn~M.              \idxquad{8}\r
+\item Kostka~P.            \idxquad{33}\r
+\item Kotelnikov~S.K.      \idxquad{24}\r
+\item Krehbiel~H.          \idxquad{11}\r
+\item Kr\"ucker~D.         \idxquad{2}\r
+\item Kr\"uger~U.          \idxquad{11}\r
+\item Kubenka~J.P.         \idxquad{25}\r
+\item Kuhlen~M.            \idxquad{25}\r
+\item Kur\v{c}a~T.         \idxquad{17}\r
+\item Kurzh\"ofer~J.       \idxquad{8}\r
+\item Kuznik~B.            \idxquad{32}\r
+\indexspace\r
+\item Lamarche~F.          \idxquad{27}\r
+\item Lander~R.            \idxquad{7}\r
+\item Landon~M.P.J.        \idxquad{20}\r
+\item Lange~W.             \idxquad{33}\r
+\item Lanius~P.            \idxquad{25}\r
+\item Laporte~J.F.         \idxquad{9}\r
+\item Lebedev~A.           \idxquad{24}\r
+\item Leuschner~A.         \idxquad{11}\r
+\item Levonian~S.          \idxquad{11,24}\r
+\item Lewin~D.             \idxquad{11}\r
+\item Ley~Ch.              \idxquad{2}\r
+\item Lindner~A.           \idxquad{8}\r
+\item Lindstr\"om~G.       \idxquad{12}\r
+\item Linsel~F.            \idxquad{11}\r
+\item Lipinski~J.          \idxquad{13}\r
+\item Loch~P.              \idxquad{11}\r
+\item Lohmander~H.         \idxquad{21}\r
+\item Lopez~G.C.           \idxquad{20}\r
+\indexspace\r
+\item Magnussen~N.         \idxquad{32}\r
+\item Mani~S.              \idxquad{7}\r
+\item Marage~P.            \idxquad{4}\r
+\item Marshall~R.          \idxquad{22}\r
+\item Martens~J.           \idxquad{32}\r
+\item Martin~A.@           \idxquad{19}\r
+\item Martyn~H.-U.         \idxquad{1}\r
+\item Martyniak~J.         \idxquad{6}\r
+\item Masson~S.            \idxquad{2}\r
+\item Mavroidis~A.         \idxquad{20}\r
+\item McMahon~S.J.         \idxquad{19}\r
+\item Mehta~A.             \idxquad{22}\r
+\item Meier~K.             \idxquad{15}\r
+\item Mercer~D.            \idxquad{22}\r
+\item Merz~T.              \idxquad{11}\r
+\item Meyer~C.A.           \idxquad{35}\r
+\item Meyer~H.             \idxquad{32}\r
+\item Meyer~J.             \idxquad{11}\r
+\item Mikocki~S.           \idxquad{6,26}\r
+\item Milone~V.            \idxquad{31}\r
+\item Moreau~F.            \idxquad{27}\r
+\item Moreels~J.           \idxquad{4}\r
+\item Morris~J.V.          \idxquad{5}\r
+\item M\"uller~K.          \idxquad{35}\r
+\item Murray~S.A.          \idxquad{22}\r
+\indexspace\r
+\item Nagovizin~V.         \idxquad{23}\r
+\item Naroska~B.           \idxquad{13}\r
+\item Naumann~Th.          \idxquad{33}\r
+\item Newton~D.            \idxquad{18}\r
+\item Neyret~D.            \idxquad{28}\r
+\item Nguyen~A.            \idxquad{28}\r
+\item Niebergall~F.        \idxquad{13}\r
+\item Nisius~R.            \idxquad{1}\r
+\item Nowak~G.             \idxquad{6}\r
+\item Nyberg~M.            \idxquad{21}\r
+\indexspace\r
+\item Oberlack~H.          \idxquad{25}\r
+\item Obrock~U.            \idxquad{8}\r
+\item Olsson~J.E.          \idxquad{11}\r
+\item Ould-Saada~F.        \idxquad{13}\r
+\indexspace\r
+\item Pascaud~C.           \idxquad{26}\r
+\item Patel~G.D.           \idxquad{19}\r
+\item Peppel~E.            \idxquad{11}\r
+\item Phillips~H.T.        \idxquad{3}\r
+\item Phillips~J.P.        \idxquad{22}\r
+\item Pichler~Ch.          \idxquad{12}\r
+\item Pilgram~W.           \idxquad{2}\r
+\item Pitzl~D.             \idxquad{34}\r
+\item Prell~S.             \idxquad{11}\r
+\item Prosi~R.             \idxquad{11}\r
+\indexspace\r
+\item R\"adel~G.           \idxquad{11}\r
+\item Raupach~F.           \idxquad{1}\r
+\item Rauschnabel~K.       \idxquad{8}\r
+\item Reinshagen~S.        \idxquad{11}\r
+\item Ribarics~P.          \idxquad{25}\r
+\item Riech~V.             \idxquad{12}\r
+\item Riedlberger~J.       \idxquad{34}\r
+\item Rietz~M.             \idxquad{2}\r
+\item Robertson~S.M.       \idxquad{3}\r
+\item Robmann~P.           \idxquad{35}\r
+\item Roosen~R.            \idxquad{4}\r
+\item Royon~C.             \idxquad{9}\r
+\item Rudowicz~M.          \idxquad{25}\r
+\item Rusakov~S.           \idxquad{24}\r
+\item Rybicki~K.           \idxquad{6}\r
+\indexspace\r
+\item Sahlmann~N.          \idxquad{2}\r
+\item Sanchez~E.           \idxquad{25}\r
+\item Savitsky~M.          \idxquad{11}\r
+\item Schacht~P.           \idxquad{25}\r
+\item Schleper~P.          \idxquad{14}\r
+\item von Schlippe~W.      \idxquad{20}\r
+\item Schmidt~D.           \idxquad{32}\r
+\item Schmitz~W.           \idxquad{2}\r
+\item Sch\"oning~A.        \idxquad{11}\r
+\item Schr\"oder~V.        \idxquad{11}\r
+\item Schulz~M.            \idxquad{11}\r
+\item Schwab~B.            \idxquad{14}\r
+\item Schwind~A.           \idxquad{33}\r
+\item Seehausen~U.         \idxquad{13}\r
+\item Sell~R.              \idxquad{11}\r
+\item Semenov~A.           \idxquad{23}\r
+\item Shekelyan~V.         \idxquad{23}\r
+\item Shooshtari~H.        \idxquad{25}\r
+\item Shtarkov~L.N.        \idxquad{24}\r
+\item Siegmon~G.           \idxquad{16}\r
+\item Siewert~U.           \idxquad{16}\r
+\item Skillicorn~I.O.      \idxquad{10}\r
+\item Smirnov~P.           \idxquad{24}\r
+\item Smith~J.R.           \idxquad{7}\r
+\item Smolik~L.            \idxquad{11}\r
+\item Spitzer~H.           \idxquad{13}\r
+\item Staroba~P.           \idxquad{29}\r
+\item Steenbock~M.         \idxquad{13}\r
+\item Steffen~P.           \idxquad{11}\r
+\item Stella~B.            \idxquad{31}\r
+\item Stephens~K.          \idxquad{22}\r
+\item St\"osslein~U.       \idxquad{33}\r
+\item Strachota~J.         \idxquad{11}\r
+\item Straumann~U.         \idxquad{35}\r
+\item Struczinski~W.       \idxquad{2}\r
+\indexspace\r
+\item Taylor~R.E.          \idxquad{36,26}\r
+\item Tchernyshov~V.       \idxquad{23}\r
+\item Thiebaux~C.          \idxquad{27}\r
+\item Thompson~G.          \idxquad{20}\r
+\item Tru\"ol~P.           \idxquad{35}\r
+\item Turnau~J.            \idxquad{6}\r
+\indexspace\r
+\item Urban~L.             \idxquad{25}\r
+\item Usik~A.              \idxquad{24}\r
+\indexspace\r
+\item Valkarova~A.         \idxquad{30}\r
+\item Vall\'ee~C.          \idxquad{28}\r
+\item Van Esch~P.          \idxquad{4}\r
+\item Vartapetian~A.       \idxquad{11}\r
+\item Vazdik~Y.            \idxquad{24}\r
+\item Verrecchia~P.        \idxquad{9}\r
+\item Vick~R.              \idxquad{13}\r
+\item Vogel~E.             \idxquad{1}\r
+\indexspace\r
+\item Wacker~K.            \idxquad{8}\r
+\item Walther~A.           \idxquad{8}\r
+\item Weber~G.             \idxquad{13}\r
+\item Wegner~A.            \idxquad{11}\r
+\item Wellisch~H.P.        \idxquad{25}\r
+\item West~L.R.            \idxquad{3}\r
+\item Willard~S.           \idxquad{7}\r
+\item Winde~M.             \idxquad{33}\r
+\item Winter~G.-G.         \idxquad{11}\r
+\item Wolff~Th.            \idxquad{34}\r
+\item Wright~A.E.          \idxquad{22}\r
+\item Wulff~N.             \idxquad{11}\r
+\indexspace\r
+\item Yiou~T.P.            \idxquad{28}\r
+\indexspace\r
+\item \v{Z}\'a\v{c}ek~J.   \idxquad{30}\r
+\item Zeitnitz~C.          \idxquad{12}\r
+\item Ziaeepour~H.         \idxquad{26}\r
+\item Zimmer~M.            \idxquad{11}\r
+\item Zimmermann~W.        \idxquad{11}\r
+\end{theindex}\r

diff --git a/llncsdoc.sty b/llncsdoc.sty
new file mode 100644 (file)
index 0000000..5843cba
--- /dev/null
+++ b/llncsdoc.sty
@@ -0,0 +1,42 @@
+% This is LLNCSDOC.STY the modification of the\r
+% LLNCS class file for the documentation of\r
+% the class itself.\r
+%\r
+\def\AmS{{\protect\usefont{OMS}{cmsy}{m}{n}%\r
+  A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}}\r
+\def\AmSTeX{{\protect\AmS-\protect\TeX}}\r
+%\r
+\def\ps@myheadings{\let\@mkboth\@gobbletwo\r
+\def\@oddhead{\hbox{}\hfil\small\rm\rightmark\r
+\qquad\thepage}%\r
+\def\@oddfoot{}\def\@evenhead{\small\rm\thepage\qquad\r
+\leftmark\hfil}%\r
+\def\@evenfoot{}\def\sectionmark##1{}\def\subsectionmark##1{}}\r
+\ps@myheadings\r
+%\r
+\setcounter{tocdepth}{2}\r
+%\r
+\renewcommand{\labelitemi}{--}\r
+\newenvironment{alpherate}%\r
+{\renewcommand{\labelenumi}{\alph{enumi})}\begin{enumerate}}%\r
+{\end{enumerate}\renewcommand{\labelenumi}{enumi}}\r
+%\r
+\def\bibauthoryear{\begingroup\r
+\def\thebibliography##1{\section*{References}%\r
+    \small\list{}{\settowidth\labelwidth{}\leftmargin\parindent\r
+    \itemindent=-\parindent\r
+    \labelsep=\z@\r
+    \usecounter{enumi}}%\r
+    \def\newblock{\hskip .11em plus .33em minus -.07em}%\r
+    \sloppy\r
+    \sfcode`\.=1000\relax}%\r
+    \def\@cite##1{##1}%\r
+    \def\@lbibitem[##1]##2{\item[]\if@filesw\r
+      {\def\protect####1{\string ####1\space}\immediate\r
+    \write\@auxout{\string\bibcite{##2}{##1}}}\fi\ignorespaces}%\r
+\begin{thebibliography}{}\r
+\bibitem[1982]{clar:eke3} Clarke, F., Ekeland, I.: Nonlinear\r
+oscillations and boundary-value problems for Hamiltonian systems.\r
+Arch. Rat. Mech. Anal. 78, 315--333 (1982)\r
+\end{thebibliography}\r
+\endgroup}\r

diff --git a/old/CA_old.tex b/old/CA_old.tex
new file mode 100644 (file)
index 0000000..44818eb
--- /dev/null
+++ b/old/CA_old.tex
@@ -0,0 +1,19 @@
+%%%\section{Random Number Generator: Theories and Classification} 
+%
+\textit{Single N-Dimention}
+In 2004 [9] Guan et al. proposed a one dimensional CA where the rule in each cell changes dynamically based upon the states of the cells within a new neighborhood of three cells. Dubbed “Self-Programmable Cellular Automata” (SPCA), the rules are switched between 90/165 or 150/105 and they can be easily implemented with XOR gates. Certain combinations of rules and neighborhoods were shown to produce maximal length sequences with good quality random numbers.
+
+In 2006 Leonidas Kotoulas and al, The proposed 1-d CA is based on the real time clock sequence and used for stream cipher. The authors show that by using rules based computer times sequence as year, months to seconds can generate initial state and the length of CA cells. the initial state configuration and simultaneously the length of CA cells the product of all the above numbers, namely day, month, year, hour, min and seconds was calculated. The execution time was decided to be t = x(60 - x). The first rule arises from the product of minutes by seconds. The second rule is the number of minutes divided by the number of seconds multiplied by a constant.
+
+Where In 2009 Ding Jun and al, implement an efficient PRNG based on the classical CA with 32 cells using rule 30 is reported and prove a high PRNG performance. 
+
+In 2010 Ioana Dogaru and Radu Dogaru, create an automatic software tool based on Algebraic Normal Form (ANF) representation to generate an RTL code of any hybrid CA depending on ID rules. the results show by using ANF representation  $y = [K_{0} xor K_{1}(U_{1}) xor K_{2}(U_{2}) xor K_{3}(U_{3}) xor K_{4}(U_{1}*U_{2}) xor ... K_{7}(U_{1}*U_{2}*U_{3})] xor mask$ with ID=101 and 3 neighbor are identical to Matlab results.
+
+\textit{Combined N-Dimention}
+In 2003 Tkacik proposed a hardware random number generator implemented on a custom IC which combines the outputs of a CA with an LFSR. A hybrid 90/150 rules an 37 bit CA was combined with a 43-bit LFSR. This maximal length configuration combined 32 bits from the CA and LFSR to produce a maximal length RNG. It was found that the LFSR and CA must be clocked at different frequencies to create a sequence of numbers that can pass all the DIEHARD tests. Then, in 2012 Juan C.Cerda and al, notice in Tkcide [2003] the combination must be clocked at different frequency to pass all NIST test, and present another combination PRNG using HCA using 90/150 and LFSR to solve this problem. The trick is XORing the last bit of HCA with the last bit of LSFR to generate 1-bit per clock cycle, and they found the best combination for a high quality of PRNG is 37-bit LFSR with 16-bit CA. then 2012, they compare they preview work LFSR/HCA with a SPCA 2004 that use 90/156 rules, and they find that even SPCA fail in one statistic test but give a better throughput than the LFSR/HCA
+
+In 2007 Petre Anghelescu and al, propose a combination of two logic combinational circuit of Hybrid HCA where PRNG and block cipher for an encryption system, and the first HCA-1 use two rules 90/150 as a real-time key stream generator and the second HCA-1 use 51/153/195 rules. To select witch rules will be used by the block cipher HCA-2, the PRNG or HCA-1 generate an encrypting rules to switch the rules and that provide each cell has is own rules. 
+
+In 2013 Lakshman Raut and David H. K. Hoe, show us another stream cipher design and combination of CA and LFSR but they introduce NLFSR block based on A2U2 design to resist more for a various forms of cryptanalysis, such as correlation attacks and algebraic attacks. Where CA and NFSR are both has feedback for each other and use a LFSR counter as input random, then the key bit stream will pass to a mixer mechanism to increase the complexity for decryption. 
+
+In 2014, Dogaru Ioana and Dogaru Radu. introduce a comparison o two implementation of HCA as PRNG to maximize efficiency/throughput, where the first is a basic 63-bit HCA and the second is a chain of HCA(2 HCA) and they demonstrate a high ration of frequency/ares and cryptography by using a chain of HCA instead of single HCA.
\ No newline at end of file

diff --git a/remreset.sty b/remreset.sty
new file mode 100644 (file)
index 0000000..b53de58
--- /dev/null
+++ b/remreset.sty
@@ -0,0 +1,39 @@
+
+% remreset package
+%%%%%%%%%%%%%%%%%%
+
+% Copyright 1997 David carlisle
+% This file may be distributed under the terms of the LPPL.
+% See 00readme.txt for details.
+
+% 1997/09/28  David Carlisle
+
+% LaTeX includes a command \@addtoreset that is used to declare that
+% a counter should be reset every time a second counter is incremented.
+
+% For example the book class has a line
+% \@addtoreset{footnote}{chapter}
+% So that the footnote counter is reset each chapter.
+
+% If you wish to bas a new class on book, but without this counter
+% being reset, then standard LaTeX gives no simple mechanism to do
+% this.
+
+% This package defines |\@removefromreset| which just undoes the effect
+% of \@addtorest. So for example a class file may be defined by
+
+% \LoadClass{book}
+% \@removefromreset{footnote}{chapter}
+
+
+\def\@removefromreset#1#2{{%
+  \expandafter\let\csname c@#1\endcsname\@removefromreset
+  \def\@elt##1{%
+    \expandafter\ifx\csname c@##1\endcsname\@removefromreset
+    \else
+      \noexpand\@elt{##1}%
+    \fi}%
+  \expandafter\xdef\csname cl@#2\endcsname{%
+    \csname cl@#2\endcsname}}}
+
+

diff --git a/splncs03.bst b/splncs03.bst
new file mode 100644 (file)
index 0000000..3279169
--- /dev/null
+++ b/splncs03.bst
@@ -0,0 +1,1519 @@
+%% BibTeX bibliography style `splncs03'\r
+%%\r
+%% BibTeX bibliography style for use with numbered references in\r
+%% Springer Verlag's "Lecture Notes in Computer Science" series.\r
+%% (See Springer's documentation for llncs.cls for\r
+%% more details of the suggested reference format.)  Note that this\r
+%% file will not work for author-year style citations.\r
+%%\r
+%% Use \documentclass{llncs} and \bibliographystyle{splncs03}, and cite\r
+%% a reference with (e.g.) \cite{smith77} to get a "[1]" in the text.\r
+%%\r
+%% This file comes to you courtesy of Maurizio "Titto" Patrignani of\r
+%% Dipartimento di Informatica e Automazione Universita' Roma Tre\r
+%%\r
+%% ================================================================================================\r
+%% This was file `titto-lncs-02.bst' produced on Wed Apr 1, 2009\r
+%% Edited by hand by titto based on `titto-lncs-01.bst' (see below)\r
+%%\r
+%% CHANGES (with respect to titto-lncs-01.bst):\r
+%% - Removed the call to \urlprefix (thus no "URL" string is added to the output)\r
+%% ================================================================================================\r
+%% This was file `titto-lncs-01.bst' produced on Fri Aug 22, 2008\r
+%% Edited by hand by titto based on `titto.bst' (see below)\r
+%%\r
+%% CHANGES (with respect to titto.bst):\r
+%% - Removed the "capitalize" command for editors string "(eds.)" and "(ed.)"\r
+%% - Introduced the functions titto.bbl.pages and titto.bbl.page for journal pages (without "pp.")\r
+%% - Added a new.sentence command to separate with a dot booktitle and series in the inproceedings\r
+%% - Commented all new.block commands before urls and notes (to separate them with a comma)\r
+%% - Introduced the functions titto.bbl.volume for handling journal volumes (without "vol." label)\r
+%% - Used for editors the same name conventions used for authors (see function format.in.ed.booktitle)\r
+%% - Removed a \newblock to avoid long spaces between title and "In: ..."\r
+%% - Added function titto.space.prefix to add a space instead of "~" after the (removed) "vol." label\r
+%% ================================================================================================\r
+%% This was file `titto.bst',\r
+%% generated with the docstrip utility.\r
+%%\r
+%% The original source files were:\r
+%%\r
+%% merlin.mbs  (with options: `vonx,nm-rvvc,yr-par,jttl-rm,volp-com,jwdpg,jwdvol,numser,ser-vol,jnm-x,btit-rm,bt-rm,edparxc,bkedcap,au-col,in-col,fin-bare,pp,ed,abr,mth-bare,xedn,jabr,and-com,and-com-ed,xand,url,url-blk,em-x,nfss,')\r
+%% ----------------------------------------\r
+%% *** Tentative .bst file for Springer LNCS ***\r
+%%\r
+%% Copyright 1994-2007 Patrick W Daly\r
+ % ===============================================================\r
+ % IMPORTANT NOTICE:\r
+ % This bibliographic style (bst) file has been generated from one or\r
+ % more master bibliographic style (mbs) files, listed above.\r
+ %\r
+ % This generated file can be redistributed and/or modified under the terms\r
+ % of the LaTeX Project Public License Distributed from CTAN\r
+ % archives in directory macros/latex/base/lppl.txt; either\r
+ % version 1 of the License, or any later version.\r
+ % ===============================================================\r
+ % Name and version information of the main mbs file:\r
+ % \ProvidesFile{merlin.mbs}[2007/04/24 4.20 (PWD, AO, DPC)]\r
+ %   For use with BibTeX version 0.99a or later\r
+ %-------------------------------------------------------------------\r
+ % This bibliography style file is intended for texts in ENGLISH\r
+ % This is a numerical citation style, and as such is standard LaTeX.\r
+ % It requires no extra package to interface to the main text.\r
+ % The form of the \bibitem entries is\r
+ %   \bibitem{key}...\r
+ % Usage of \cite is as follows:\r
+ %   \cite{key} ==>>          [#]\r
+ %   \cite[chap. 2]{key} ==>> [#, chap. 2]\r
+ % where # is a number determined by the ordering in the reference list.\r
+ % The order in the reference list is alphabetical by authors.\r
+ %---------------------------------------------------------------------\r
+\r
+ENTRY\r
+  { address\r
+    author\r
+    booktitle\r
+    chapter\r
+    edition\r
+    editor\r
+    eid\r
+    howpublished\r
+    institution\r
+    journal\r
+    key\r
+    month\r
+    note\r
+    number\r
+    organization\r
+    pages\r
+    publisher\r
+    school\r
+    series\r
+    title\r
+    type\r
+    url\r
+    volume\r
+    year\r
+  }\r
+  {}\r
+  { label }\r
+INTEGERS { output.state before.all mid.sentence after.sentence after.block }\r
+FUNCTION {init.state.consts}\r
+{ #0 'before.all :=\r
+  #1 'mid.sentence :=\r
+  #2 'after.sentence :=\r
+  #3 'after.block :=\r
+}\r
+STRINGS { s t}\r
+FUNCTION {output.nonnull}\r
+{ 's :=\r
+  output.state mid.sentence =\r
+    { ", " * write$ }\r
+    { output.state after.block =\r
+        { add.period$ write$\r
+%          newline$\r
+%          "\newblock " write$  % removed for titto-lncs-01\r
+          " " write$            % to avoid long spaces between title and "In: ..."\r
+        }\r
+        { output.state before.all =\r
+            'write$\r
+            { add.period$ " " * write$ }\r
+          if$\r
+        }\r
+      if$\r
+      mid.sentence 'output.state :=\r
+    }\r
+  if$\r
+  s\r
+}\r
+FUNCTION {output}\r
+{ duplicate$ empty$\r
+    'pop$\r
+    'output.nonnull\r
+  if$\r
+}\r
+FUNCTION {output.check}\r
+{ 't :=\r
+  duplicate$ empty$\r
+    { pop$ "empty " t * " in " * cite$ * warning$ }\r
+    'output.nonnull\r
+  if$\r
+}\r
+FUNCTION {fin.entry}\r
+{ duplicate$ empty$\r
+    'pop$\r
+    'write$\r
+  if$\r
+  newline$\r
+}\r
+\r
+FUNCTION {new.block}\r
+{ output.state before.all =\r
+    'skip$\r
+    { after.block 'output.state := }\r
+  if$\r
+}\r
+FUNCTION {new.sentence}\r
+{ output.state after.block =\r
+    'skip$\r
+    { output.state before.all =\r
+        'skip$\r
+        { after.sentence 'output.state := }\r
+      if$\r
+    }\r
+  if$\r
+}\r
+FUNCTION {add.blank}\r
+{  " " * before.all 'output.state :=\r
+}\r
+\r
+\r
+FUNCTION {add.colon}\r
+{ duplicate$ empty$\r
+    'skip$\r
+    { ":" * add.blank }\r
+  if$\r
+}\r
+\r
+FUNCTION {date.block}\r
+{\r
+  new.block\r
+}\r
+\r
+FUNCTION {not}\r
+{   { #0 }\r
+    { #1 }\r
+  if$\r
+}\r
+FUNCTION {and}\r
+{   'skip$\r
+    { pop$ #0 }\r
+  if$\r
+}\r
+FUNCTION {or}\r
+{   { pop$ #1 }\r
+    'skip$\r
+  if$\r
+}\r
+STRINGS {z}\r
+FUNCTION {remove.dots}\r
+{ 'z :=\r
+  ""\r
+  { z empty$ not }\r
+  { z #1 #1 substring$\r
+    z #2 global.max$ substring$ 'z :=\r
+    duplicate$ "." = 'pop$\r
+      { * }\r
+    if$\r
+  }\r
+  while$\r
+}\r
+FUNCTION {new.block.checka}\r
+{ empty$\r
+    'skip$\r
+    'new.block\r
+  if$\r
+}\r
+FUNCTION {new.block.checkb}\r
+{ empty$\r
+  swap$ empty$\r
+  and\r
+    'skip$\r
+    'new.block\r
+  if$\r
+}\r
+FUNCTION {new.sentence.checka}\r
+{ empty$\r
+    'skip$\r
+    'new.sentence\r
+  if$\r
+}\r
+FUNCTION {new.sentence.checkb}\r
+{ empty$\r
+  swap$ empty$\r
+  and\r
+    'skip$\r
+    'new.sentence\r
+  if$\r
+}\r
+FUNCTION {field.or.null}\r
+{ duplicate$ empty$\r
+    { pop$ "" }\r
+    'skip$\r
+  if$\r
+}\r
+FUNCTION {emphasize}\r
+{ skip$ }\r
+FUNCTION {tie.or.space.prefix}\r
+{ duplicate$ text.length$ #3 <\r
+    { "~" }\r
+    { " " }\r
+  if$\r
+  swap$\r
+}\r
+FUNCTION {titto.space.prefix} %  always introduce a space\r
+{ duplicate$ text.length$ #3 <\r
+    { " " }\r
+    { " " }\r
+  if$\r
+  swap$\r
+}\r
+\r
+\r
+FUNCTION {capitalize}\r
+{ "u" change.case$ "t" change.case$ }\r
+\r
+FUNCTION {space.word}\r
+{ " " swap$ * " " * }\r
+ % Here are the language-specific definitions for explicit words.\r
+ % Each function has a name bbl.xxx where xxx is the English word.\r
+ % The language selected here is ENGLISH\r
+FUNCTION {bbl.and}\r
+{ "and"}\r
+\r
+FUNCTION {bbl.etal}\r
+{ "et~al." }\r
+\r
+FUNCTION {bbl.editors}\r
+{ "eds." }\r
+\r
+FUNCTION {bbl.editor}\r
+{ "ed." }\r
+\r
+FUNCTION {bbl.edby}\r
+{ "edited by" }\r
+\r
+FUNCTION {bbl.edition}\r
+{ "edn." }\r
+\r
+FUNCTION {bbl.volume}\r
+{ "vol." }\r
+\r
+FUNCTION {titto.bbl.volume} % for handling journals\r
+{ "" }\r
+\r
+FUNCTION {bbl.of}\r
+{ "of" }\r
+\r
+FUNCTION {bbl.number}\r
+{ "no." }\r
+\r
+FUNCTION {bbl.nr}\r
+{ "no." }\r
+\r
+FUNCTION {bbl.in}\r
+{ "in" }\r
+\r
+FUNCTION {bbl.pages}\r
+{ "pp." }\r
+\r
+FUNCTION {bbl.page}\r
+{ "p." }\r
+\r
+FUNCTION {titto.bbl.pages} % for journals\r
+{ "" }\r
+\r
+FUNCTION {titto.bbl.page}  % for journals\r
+{ "" }\r
+\r
+FUNCTION {bbl.chapter}\r
+{ "chap." }\r
+\r
+FUNCTION {bbl.techrep}\r
+{ "Tech. Rep." }\r
+\r
+FUNCTION {bbl.mthesis}\r
+{ "Master's thesis" }\r
+\r
+FUNCTION {bbl.phdthesis}\r
+{ "Ph.D. thesis" }\r
+\r
+MACRO {jan} {"Jan."}\r
+\r
+MACRO {feb} {"Feb."}\r
+\r
+MACRO {mar} {"Mar."}\r
+\r
+MACRO {apr} {"Apr."}\r
+\r
+MACRO {may} {"May"}\r
+\r
+MACRO {jun} {"Jun."}\r
+\r
+MACRO {jul} {"Jul."}\r
+\r
+MACRO {aug} {"Aug."}\r
+\r
+MACRO {sep} {"Sep."}\r
+\r
+MACRO {oct} {"Oct."}\r
+\r
+MACRO {nov} {"Nov."}\r
+\r
+MACRO {dec} {"Dec."}\r
+\r
+MACRO {acmcs} {"ACM Comput. Surv."}\r
+\r
+MACRO {acta} {"Acta Inf."}\r
+\r
+MACRO {cacm} {"Commun. ACM"}\r
+\r
+MACRO {ibmjrd} {"IBM J. Res. Dev."}\r
+\r
+MACRO {ibmsj} {"IBM Syst.~J."}\r
+\r
+MACRO {ieeese} {"IEEE Trans. Software Eng."}\r
+\r
+MACRO {ieeetc} {"IEEE Trans. Comput."}\r
+\r
+MACRO {ieeetcad}\r
+ {"IEEE Trans. Comput. Aid. Des."}\r
+\r
+MACRO {ipl} {"Inf. Process. Lett."}\r
+\r
+MACRO {jacm} {"J.~ACM"}\r
+\r
+MACRO {jcss} {"J.~Comput. Syst. Sci."}\r
+\r
+MACRO {scp} {"Sci. Comput. Program."}\r
+\r
+MACRO {sicomp} {"SIAM J. Comput."}\r
+\r
+MACRO {tocs} {"ACM Trans. Comput. Syst."}\r
+\r
+MACRO {tods} {"ACM Trans. Database Syst."}\r
+\r
+MACRO {tog} {"ACM Trans. Graphic."}\r
+\r
+MACRO {toms} {"ACM Trans. Math. Software"}\r
+\r
+MACRO {toois} {"ACM Trans. Office Inf. Syst."}\r
+\r
+MACRO {toplas} {"ACM Trans. Progr. Lang. Syst."}\r
+\r
+MACRO {tcs} {"Theor. Comput. Sci."}\r
+\r
+FUNCTION {bibinfo.check}\r
+{ swap$\r
+  duplicate$ missing$\r
+    {\r
+      pop$ pop$\r
+      ""\r
+    }\r
+    { duplicate$ empty$\r
+        {\r
+          swap$ pop$\r
+        }\r
+        { swap$\r
+          pop$\r
+        }\r
+      if$\r
+    }\r
+  if$\r
+}\r
+FUNCTION {bibinfo.warn}\r
+{ swap$\r
+  duplicate$ missing$\r
+    {\r
+      swap$ "missing " swap$ * " in " * cite$ * warning$ pop$\r
+      ""\r
+    }\r
+    { duplicate$ empty$\r
+        {\r
+          swap$ "empty " swap$ * " in " * cite$ * warning$\r
+        }\r
+        { swap$\r
+          pop$\r
+        }\r
+      if$\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.url}\r
+{ url empty$\r
+    { "" }\r
+%    { "\urlprefix\url{" url * "}" * }\r
+    { "\url{" url * "}" * }  % changed in titto-lncs-02.bst\r
+  if$\r
+}\r
+\r
+INTEGERS { nameptr namesleft numnames }\r
+\r
+\r
+STRINGS  { bibinfo}\r
+\r
+FUNCTION {format.names}\r
+{ 'bibinfo :=\r
+  duplicate$ empty$ 'skip$ {\r
+  's :=\r
+  "" 't :=\r
+  #1 'nameptr :=\r
+  s num.names$ 'numnames :=\r
+  numnames 'namesleft :=\r
+    { namesleft #0 > }\r
+    { s nameptr\r
+      "{vv~}{ll}{, jj}{, f{.}.}"\r
+      format.name$\r
+      bibinfo bibinfo.check\r
+      't :=\r
+      nameptr #1 >\r
+        {\r
+          namesleft #1 >\r
+            { ", " * t * }\r
+            {\r
+              s nameptr "{ll}" format.name$ duplicate$ "others" =\r
+                { 't := }\r
+                { pop$ }\r
+              if$\r
+              "," *\r
+              t "others" =\r
+                {\r
+                  " " * bbl.etal *\r
+                }\r
+                { " " * t * }\r
+              if$\r
+            }\r
+          if$\r
+        }\r
+        't\r
+      if$\r
+      nameptr #1 + 'nameptr :=\r
+      namesleft #1 - 'namesleft :=\r
+    }\r
+  while$\r
+  } if$\r
+}\r
+FUNCTION {format.names.ed}\r
+{\r
+  'bibinfo :=\r
+  duplicate$ empty$ 'skip$ {\r
+  's :=\r
+  "" 't :=\r
+  #1 'nameptr :=\r
+  s num.names$ 'numnames :=\r
+  numnames 'namesleft :=\r
+    { namesleft #0 > }\r
+    { s nameptr\r
+      "{f{.}.~}{vv~}{ll}{ jj}"\r
+      format.name$\r
+      bibinfo bibinfo.check\r
+      't :=\r
+      nameptr #1 >\r
+        {\r
+          namesleft #1 >\r
+            { ", " * t * }\r
+            {\r
+              s nameptr "{ll}" format.name$ duplicate$ "others" =\r
+                { 't := }\r
+                { pop$ }\r
+              if$\r
+              "," *\r
+              t "others" =\r
+                {\r
+\r
+                  " " * bbl.etal *\r
+                }\r
+                { " " * t * }\r
+              if$\r
+            }\r
+          if$\r
+        }\r
+        't\r
+      if$\r
+      nameptr #1 + 'nameptr :=\r
+      namesleft #1 - 'namesleft :=\r
+    }\r
+  while$\r
+  } if$\r
+}\r
+FUNCTION {format.authors}\r
+{ author "author" format.names\r
+}\r
+FUNCTION {get.bbl.editor}\r
+{ editor num.names$ #1 > 'bbl.editors 'bbl.editor if$ }\r
+\r
+FUNCTION {format.editors}\r
+{ editor "editor" format.names duplicate$ empty$ 'skip$\r
+    {\r
+      " " *\r
+      get.bbl.editor\r
+%      capitalize\r
+   "(" swap$ * ")" *\r
+      *\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.note}\r
+{\r
+ note empty$\r
+    { "" }\r
+    { note #1 #1 substring$\r
+      duplicate$ "{" =\r
+        'skip$\r
+        { output.state mid.sentence =\r
+          { "l" }\r
+          { "u" }\r
+        if$\r
+        change.case$\r
+        }\r
+      if$\r
+      note #2 global.max$ substring$ * "note" bibinfo.check\r
+    }\r
+  if$\r
+}\r
+\r
+FUNCTION {format.title}\r
+{ title\r
+  duplicate$ empty$ 'skip$\r
+    { "t" change.case$ }\r
+  if$\r
+  "title" bibinfo.check\r
+}\r
+FUNCTION {output.bibitem}\r
+{ newline$\r
+  "\bibitem{" write$\r
+  cite$ write$\r
+  "}" write$\r
+  newline$\r
+  ""\r
+  before.all 'output.state :=\r
+}\r
+\r
+FUNCTION {n.dashify}\r
+{\r
+  't :=\r
+  ""\r
+    { t empty$ not }\r
+    { t #1 #1 substring$ "-" =\r
+        { t #1 #2 substring$ "--" = not\r
+            { "--" *\r
+              t #2 global.max$ substring$ 't :=\r
+            }\r
+            {   { t #1 #1 substring$ "-" = }\r
+                { "-" *\r
+                  t #2 global.max$ substring$ 't :=\r
+                }\r
+              while$\r
+            }\r
+          if$\r
+        }\r
+        { t #1 #1 substring$ *\r
+          t #2 global.max$ substring$ 't :=\r
+        }\r
+      if$\r
+    }\r
+  while$\r
+}\r
+\r
+FUNCTION {word.in}\r
+{ bbl.in capitalize\r
+  ":" *\r
+  " " * }\r
+\r
+FUNCTION {format.date}\r
+{\r
+  month "month" bibinfo.check\r
+  duplicate$ empty$\r
+  year  "year"  bibinfo.check duplicate$ empty$\r
+    { swap$ 'skip$\r
+        { "there's a month but no year in " cite$ * warning$ }\r
+      if$\r
+      *\r
+    }\r
+    { swap$ 'skip$\r
+        {\r
+          swap$\r
+          " " * swap$\r
+        }\r
+      if$\r
+      *\r
+      remove.dots\r
+    }\r
+  if$\r
+  duplicate$ empty$\r
+    'skip$\r
+    {\r
+      before.all 'output.state :=\r
+    " (" swap$ * ")" *\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.btitle}\r
+{ title "title" bibinfo.check\r
+  duplicate$ empty$ 'skip$\r
+    {\r
+    }\r
+  if$\r
+}\r
+FUNCTION {either.or.check}\r
+{ empty$\r
+    'pop$\r
+    { "can't use both " swap$ * " fields in " * cite$ * warning$ }\r
+  if$\r
+}\r
+FUNCTION {format.bvolume}\r
+{ volume empty$\r
+    { "" }\r
+    { bbl.volume volume tie.or.space.prefix\r
+      "volume" bibinfo.check * *\r
+      series "series" bibinfo.check\r
+      duplicate$ empty$ 'pop$\r
+        { emphasize ", " * swap$ * }\r
+      if$\r
+      "volume and number" number either.or.check\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.number.series}\r
+{ volume empty$\r
+    { number empty$\r
+        { series field.or.null }\r
+        { output.state mid.sentence =\r
+            { bbl.number }\r
+            { bbl.number capitalize }\r
+          if$\r
+          number tie.or.space.prefix "number" bibinfo.check * *\r
+          series empty$\r
+            { "there's a number but no series in " cite$ * warning$ }\r
+            { bbl.in space.word *\r
+              series "series" bibinfo.check *\r
+            }\r
+          if$\r
+        }\r
+      if$\r
+    }\r
+    { "" }\r
+  if$\r
+}\r
+\r
+FUNCTION {format.edition}\r
+{ edition duplicate$ empty$ 'skip$\r
+    {\r
+      output.state mid.sentence =\r
+        { "l" }\r
+        { "t" }\r
+      if$ change.case$\r
+      "edition" bibinfo.check\r
+      " " * bbl.edition *\r
+    }\r
+  if$\r
+}\r
+INTEGERS { multiresult }\r
+FUNCTION {multi.page.check}\r
+{ 't :=\r
+  #0 'multiresult :=\r
+    { multiresult not\r
+      t empty$ not\r
+      and\r
+    }\r
+    { t #1 #1 substring$\r
+      duplicate$ "-" =\r
+      swap$ duplicate$ "," =\r
+      swap$ "+" =\r
+      or or\r
+        { #1 'multiresult := }\r
+        { t #2 global.max$ substring$ 't := }\r
+      if$\r
+    }\r
+  while$\r
+  multiresult\r
+}\r
+FUNCTION {format.pages}\r
+{ pages duplicate$ empty$ 'skip$\r
+    { duplicate$ multi.page.check\r
+        {\r
+          bbl.pages swap$\r
+          n.dashify\r
+        }\r
+        {\r
+          bbl.page swap$\r
+        }\r
+      if$\r
+      tie.or.space.prefix\r
+      "pages" bibinfo.check\r
+      * *\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.journal.pages}\r
+{ pages duplicate$ empty$ 'pop$\r
+    { swap$ duplicate$ empty$\r
+        { pop$ pop$ format.pages }\r
+        {\r
+          ", " *\r
+          swap$\r
+          n.dashify\r
+          pages multi.page.check\r
+            'titto.bbl.pages\r
+            'titto.bbl.page\r
+          if$\r
+          swap$ tie.or.space.prefix\r
+          "pages" bibinfo.check\r
+          * *\r
+          *\r
+        }\r
+      if$\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.journal.eid}\r
+{ eid "eid" bibinfo.check\r
+  duplicate$ empty$ 'pop$\r
+    { swap$ duplicate$ empty$ 'skip$\r
+      {\r
+          ", " *\r
+      }\r
+      if$\r
+      swap$ *\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.vol.num.pages} % this function is used only for journal entries\r
+{ volume field.or.null\r
+  duplicate$ empty$ 'skip$\r
+    {\r
+%     bbl.volume swap$ tie.or.space.prefix\r
+      titto.bbl.volume swap$ titto.space.prefix\r
+%             rationale for the change above: for journals you don't want "vol." label\r
+%             hence it does not make sense to attach the journal number to the label when\r
+%             it is short\r
+      "volume" bibinfo.check\r
+      * *\r
+    }\r
+  if$\r
+  number "number" bibinfo.check duplicate$ empty$ 'skip$\r
+    {\r
+      swap$ duplicate$ empty$\r
+        { "there's a number but no volume in " cite$ * warning$ }\r
+        'skip$\r
+      if$\r
+      swap$\r
+      "(" swap$ * ")" *\r
+    }\r
+  if$ *\r
+  eid empty$\r
+    { format.journal.pages }\r
+    { format.journal.eid }\r
+  if$\r
+}\r
+\r
+FUNCTION {format.chapter.pages}\r
+{ chapter empty$\r
+    'format.pages\r
+    { type empty$\r
+        { bbl.chapter }\r
+        { type "l" change.case$\r
+          "type" bibinfo.check\r
+        }\r
+      if$\r
+      chapter tie.or.space.prefix\r
+      "chapter" bibinfo.check\r
+      * *\r
+      pages empty$\r
+        'skip$\r
+        { ", " * format.pages * }\r
+      if$\r
+    }\r
+  if$\r
+}\r
+\r
+FUNCTION {format.booktitle}\r
+{\r
+  booktitle "booktitle" bibinfo.check\r
+}\r
+FUNCTION {format.in.ed.booktitle}\r
+{ format.booktitle duplicate$ empty$ 'skip$\r
+    {\r
+%     editor "editor" format.names.ed duplicate$ empty$ 'pop$ % changed by titto\r
+      editor "editor" format.names duplicate$ empty$ 'pop$\r
+        {\r
+          " " *\r
+          get.bbl.editor\r
+%          capitalize\r
+          "(" swap$ * ") " *\r
+          * swap$\r
+          * }\r
+      if$\r
+      word.in swap$ *\r
+    }\r
+  if$\r
+}\r
+FUNCTION {empty.misc.check}\r
+{ author empty$ title empty$ howpublished empty$\r
+  month empty$ year empty$ note empty$\r
+  and and and and and\r
+  key empty$ not and\r
+    { "all relevant fields are empty in " cite$ * warning$ }\r
+    'skip$\r
+  if$\r
+}\r
+FUNCTION {format.thesis.type}\r
+{ type duplicate$ empty$\r
+    'pop$\r
+    { swap$ pop$\r
+      "t" change.case$ "type" bibinfo.check\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.tr.number}\r
+{ number "number" bibinfo.check\r
+  type duplicate$ empty$\r
+    { pop$ bbl.techrep }\r
+    'skip$\r
+  if$\r
+  "type" bibinfo.check\r
+  swap$ duplicate$ empty$\r
+    { pop$ "t" change.case$ }\r
+    { tie.or.space.prefix * * }\r
+  if$\r
+}\r
+FUNCTION {format.article.crossref}\r
+{\r
+  key duplicate$ empty$\r
+    { pop$\r
+      journal duplicate$ empty$\r
+        { "need key or journal for " cite$ * " to crossref " * crossref * warning$ }\r
+        { "journal" bibinfo.check emphasize word.in swap$ * }\r
+      if$\r
+    }\r
+    { word.in swap$ * " " *}\r
+  if$\r
+  " \cite{" * crossref * "}" *\r
+}\r
+FUNCTION {format.crossref.editor}\r
+{ editor #1 "{vv~}{ll}" format.name$\r
+  "editor" bibinfo.check\r
+  editor num.names$ duplicate$\r
+  #2 >\r
+    { pop$\r
+      "editor" bibinfo.check\r
+      " " * bbl.etal\r
+      *\r
+    }\r
+    { #2 <\r
+        'skip$\r
+        { editor #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" =\r
+            {\r
+              "editor" bibinfo.check\r
+              " " * bbl.etal\r
+              *\r
+            }\r
+            {\r
+             bbl.and space.word\r
+              * editor #2 "{vv~}{ll}" format.name$\r
+              "editor" bibinfo.check\r
+              *\r
+            }\r
+          if$\r
+        }\r
+      if$\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.book.crossref}\r
+{ volume duplicate$ empty$\r
+    { "empty volume in " cite$ * "'s crossref of " * crossref * warning$\r
+      pop$ word.in\r
+    }\r
+    { bbl.volume\r
+      capitalize\r
+      swap$ tie.or.space.prefix "volume" bibinfo.check * * bbl.of space.word *\r
+    }\r
+  if$\r
+  editor empty$\r
+  editor field.or.null author field.or.null =\r
+  or\r
+    { key empty$\r
+        { series empty$\r
+            { "need editor, key, or series for " cite$ * " to crossref " *\r
+              crossref * warning$\r
+              "" *\r
+            }\r
+            { series emphasize * }\r
+          if$\r
+        }\r
+        { key * }\r
+      if$\r
+    }\r
+    { format.crossref.editor * }\r
+  if$\r
+  " \cite{" * crossref * "}" *\r
+}\r
+FUNCTION {format.incoll.inproc.crossref}\r
+{\r
+  editor empty$\r
+  editor field.or.null author field.or.null =\r
+  or\r
+    { key empty$\r
+        { format.booktitle duplicate$ empty$\r
+            { "need editor, key, or booktitle for " cite$ * " to crossref " *\r
+              crossref * warning$\r
+            }\r
+            { word.in swap$ * }\r
+          if$\r
+        }\r
+        { word.in key * " " *}\r
+      if$\r
+    }\r
+    { word.in format.crossref.editor * " " *}\r
+  if$\r
+  " \cite{" * crossref * "}" *\r
+}\r
+FUNCTION {format.org.or.pub}\r
+{ 't :=\r
+  ""\r
+  address empty$ t empty$ and\r
+    'skip$\r
+    {\r
+      t empty$\r
+        { address "address" bibinfo.check *\r
+        }\r
+        { t *\r
+          address empty$\r
+            'skip$\r
+            { ", " * address "address" bibinfo.check * }\r
+          if$\r
+        }\r
+      if$\r
+    }\r
+  if$\r
+}\r
+FUNCTION {format.publisher.address}\r
+{ publisher "publisher" bibinfo.warn format.org.or.pub\r
+}\r
+\r
+FUNCTION {format.organization.address}\r
+{ organization "organization" bibinfo.check format.org.or.pub\r
+}\r
+\r
+FUNCTION {article}\r
+{ output.bibitem\r
+  format.authors "author" output.check\r
+  add.colon\r
+  new.block\r
+  format.title "title" output.check\r
+  new.block\r
+  crossref missing$\r
+    {\r
+      journal\r
+      "journal" bibinfo.check\r
+      "journal" output.check\r
+      add.blank\r
+      format.vol.num.pages output\r
+      format.date "year" output.check\r
+    }\r
+    { format.article.crossref output.nonnull\r
+      format.pages output\r
+    }\r
+  if$\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+FUNCTION {book}\r
+{ output.bibitem\r
+  author empty$\r
+    { format.editors "author and editor" output.check\r
+      add.colon\r
+    }\r
+    { format.authors output.nonnull\r
+      add.colon\r
+      crossref missing$\r
+        { "author and editor" editor either.or.check }\r
+        'skip$\r
+      if$\r
+    }\r
+  if$\r
+  new.block\r
+  format.btitle "title" output.check\r
+  crossref missing$\r
+    { format.bvolume output\r
+      new.block\r
+      new.sentence\r
+      format.number.series output\r
+      format.publisher.address output\r
+    }\r
+    {\r
+      new.block\r
+      format.book.crossref output.nonnull\r
+    }\r
+  if$\r
+  format.edition output\r
+  format.date "year" output.check\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+FUNCTION {booklet}\r
+{ output.bibitem\r
+  format.authors output\r
+  add.colon\r
+  new.block\r
+  format.title "title" output.check\r
+  new.block\r
+  howpublished "howpublished" bibinfo.check output\r
+  address "address" bibinfo.check output\r
+  format.date output\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+\r
+FUNCTION {inbook}\r
+{ output.bibitem\r
+  author empty$\r
+    { format.editors "author and editor" output.check\r
+      add.colon\r
+    }\r
+    { format.authors output.nonnull\r
+      add.colon\r
+      crossref missing$\r
+        { "author and editor" editor either.or.check }\r
+        'skip$\r
+      if$\r
+    }\r
+  if$\r
+  new.block\r
+  format.btitle "title" output.check\r
+  crossref missing$\r
+    {\r
+      format.bvolume output\r
+      format.chapter.pages "chapter and pages" output.check\r
+      new.block\r
+      new.sentence\r
+      format.number.series output\r
+      format.publisher.address output\r
+    }\r
+    {\r
+      format.chapter.pages "chapter and pages" output.check\r
+      new.block\r
+      format.book.crossref output.nonnull\r
+    }\r
+  if$\r
+  format.edition output\r
+  format.date "year" output.check\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+\r
+FUNCTION {incollection}\r
+{ output.bibitem\r
+  format.authors "author" output.check\r
+  add.colon\r
+  new.block\r
+  format.title "title" output.check\r
+  new.block\r
+  crossref missing$\r
+    { format.in.ed.booktitle "booktitle" output.check\r
+      format.bvolume output\r
+      format.chapter.pages output\r
+      new.sentence\r
+      format.number.series output\r
+      format.publisher.address output\r
+      format.edition output\r
+      format.date "year" output.check\r
+    }\r
+    { format.incoll.inproc.crossref output.nonnull\r
+      format.chapter.pages output\r
+    }\r
+  if$\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+FUNCTION {inproceedings}\r
+{ output.bibitem\r
+  format.authors "author" output.check\r
+  add.colon\r
+  new.block\r
+  format.title "title" output.check\r
+  new.block\r
+  crossref missing$\r
+    { format.in.ed.booktitle "booktitle" output.check\r
+      new.sentence % added by titto\r
+      format.bvolume output\r
+      format.pages output\r
+      new.sentence\r
+      format.number.series output\r
+      publisher empty$\r
+        { format.organization.address output }\r
+        { organization "organization" bibinfo.check output\r
+          format.publisher.address output\r
+        }\r
+      if$\r
+      format.date "year" output.check\r
+    }\r
+    { format.incoll.inproc.crossref output.nonnull\r
+      format.pages output\r
+    }\r
+  if$\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+FUNCTION {conference} { inproceedings }\r
+FUNCTION {manual}\r
+{ output.bibitem\r
+  author empty$\r
+    { organization "organization" bibinfo.check\r
+      duplicate$ empty$ 'pop$\r
+        { output\r
+          address "address" bibinfo.check output\r
+        }\r
+      if$\r
+    }\r
+    { format.authors output.nonnull }\r
+  if$\r
+  add.colon\r
+  new.block\r
+  format.btitle "title" output.check\r
+  author empty$\r
+    { organization empty$\r
+        {\r
+          address new.block.checka\r
+          address "address" bibinfo.check output\r
+        }\r
+        'skip$\r
+      if$\r
+    }\r
+    {\r
+      organization address new.block.checkb\r
+      organization "organization" bibinfo.check output\r
+      address "address" bibinfo.check output\r
+    }\r
+  if$\r
+  format.edition output\r
+  format.date output\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+\r
+FUNCTION {mastersthesis}\r
+{ output.bibitem\r
+  format.authors "author" output.check\r
+  add.colon\r
+  new.block\r
+  format.btitle\r
+  "title" output.check\r
+  new.block\r
+  bbl.mthesis format.thesis.type output.nonnull\r
+  school "school" bibinfo.warn output\r
+  address "address" bibinfo.check output\r
+  format.date "year" output.check\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+\r
+FUNCTION {misc}\r
+{ output.bibitem\r
+  format.authors output\r
+  add.colon\r
+  title howpublished new.block.checkb\r
+  format.title output\r
+  howpublished new.block.checka\r
+  howpublished "howpublished" bibinfo.check output\r
+  format.date output\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+  empty.misc.check\r
+}\r
+FUNCTION {phdthesis}\r
+{ output.bibitem\r
+  format.authors "author" output.check\r
+  add.colon\r
+  new.block\r
+  format.btitle\r
+  "title" output.check\r
+  new.block\r
+  bbl.phdthesis format.thesis.type output.nonnull\r
+  school "school" bibinfo.warn output\r
+  address "address" bibinfo.check output\r
+  format.date "year" output.check\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+\r
+FUNCTION {proceedings}\r
+{ output.bibitem\r
+  editor empty$\r
+    { organization "organization" bibinfo.check output\r
+    }\r
+    { format.editors output.nonnull }\r
+  if$\r
+  add.colon\r
+  new.block\r
+  format.btitle "title" output.check\r
+  format.bvolume output\r
+  editor empty$\r
+    { publisher empty$\r
+        {  format.number.series output }\r
+        {\r
+          new.sentence\r
+          format.number.series output\r
+          format.publisher.address output\r
+        }\r
+      if$\r
+    }\r
+    { publisher empty$\r
+        {\r
+          new.sentence\r
+          format.number.series output\r
+          format.organization.address output }\r
+        {\r
+          new.sentence\r
+          format.number.series output\r
+          organization "organization" bibinfo.check output\r
+          format.publisher.address output\r
+        }\r
+      if$\r
+     }\r
+  if$\r
+      format.date "year" output.check\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+\r
+FUNCTION {techreport}\r
+{ output.bibitem\r
+  format.authors "author" output.check\r
+  add.colon\r
+  new.block\r
+  format.title\r
+  "title" output.check\r
+  new.block\r
+  format.tr.number output.nonnull\r
+  institution "institution" bibinfo.warn output\r
+  address "address" bibinfo.check output\r
+  format.date "year" output.check\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note output\r
+  fin.entry\r
+}\r
+\r
+FUNCTION {unpublished}\r
+{ output.bibitem\r
+  format.authors "author" output.check\r
+  add.colon\r
+  new.block\r
+  format.title "title" output.check\r
+  format.date output\r
+%  new.block\r
+  format.url output\r
+%  new.block\r
+  format.note "note" output.check\r
+  fin.entry\r
+}\r
+\r
+FUNCTION {default.type} { misc }\r
+READ\r
+FUNCTION {sortify}\r
+{ purify$\r
+  "l" change.case$\r
+}\r
+INTEGERS { len }\r
+FUNCTION {chop.word}\r
+{ 's :=\r
+  'len :=\r
+  s #1 len substring$ =\r
+    { s len #1 + global.max$ substring$ }\r
+    's\r
+  if$\r
+}\r
+FUNCTION {sort.format.names}\r
+{ 's :=\r
+  #1 'nameptr :=\r
+  ""\r
+  s num.names$ 'numnames :=\r
+  numnames 'namesleft :=\r
+    { namesleft #0 > }\r
+    { s nameptr\r
+      "{ll{ }}{  ff{ }}{  jj{ }}"\r
+      format.name$ 't :=\r
+      nameptr #1 >\r
+        {\r
+          "   "  *\r
+          namesleft #1 = t "others" = and\r
+            { "zzzzz" * }\r
+            { t sortify * }\r
+          if$\r
+        }\r
+        { t sortify * }\r
+      if$\r
+      nameptr #1 + 'nameptr :=\r
+      namesleft #1 - 'namesleft :=\r
+    }\r
+  while$\r
+}\r
+\r
+FUNCTION {sort.format.title}\r
+{ 't :=\r
+  "A " #2\r
+    "An " #3\r
+      "The " #4 t chop.word\r
+    chop.word\r
+  chop.word\r
+  sortify\r
+  #1 global.max$ substring$\r
+}\r
+FUNCTION {author.sort}\r
+{ author empty$\r
+    { key empty$\r
+        { "to sort, need author or key in " cite$ * warning$\r
+          ""\r
+        }\r
+        { key sortify }\r
+      if$\r
+    }\r
+    { author sort.format.names }\r
+  if$\r
+}\r
+FUNCTION {author.editor.sort}\r
+{ author empty$\r
+    { editor empty$\r
+        { key empty$\r
+            { "to sort, need author, editor, or key in " cite$ * warning$\r
+              ""\r
+            }\r
+            { key sortify }\r
+          if$\r
+        }\r
+        { editor sort.format.names }\r
+      if$\r
+    }\r
+    { author sort.format.names }\r
+  if$\r
+}\r
+FUNCTION {author.organization.sort}\r
+{ author empty$\r
+    { organization empty$\r
+        { key empty$\r
+            { "to sort, need author, organization, or key in " cite$ * warning$\r
+              ""\r
+            }\r
+            { key sortify }\r
+          if$\r
+        }\r
+        { "The " #4 organization chop.word sortify }\r
+      if$\r
+    }\r
+    { author sort.format.names }\r
+  if$\r
+}\r
+FUNCTION {editor.organization.sort}\r
+{ editor empty$\r
+    { organization empty$\r
+        { key empty$\r
+            { "to sort, need editor, organization, or key in " cite$ * warning$\r
+              ""\r
+            }\r
+            { key sortify }\r
+          if$\r
+        }\r
+        { "The " #4 organization chop.word sortify }\r
+      if$\r
+    }\r
+    { editor sort.format.names }\r
+  if$\r
+}\r
+FUNCTION {presort}\r
+{ type$ "book" =\r
+  type$ "inbook" =\r
+  or\r
+    'author.editor.sort\r
+    { type$ "proceedings" =\r
+        'editor.organization.sort\r
+        { type$ "manual" =\r
+            'author.organization.sort\r
+            'author.sort\r
+          if$\r
+        }\r
+      if$\r
+    }\r
+  if$\r
+  "    "\r
+  *\r
+  year field.or.null sortify\r
+  *\r
+  "    "\r
+  *\r
+  title field.or.null\r
+  sort.format.title\r
+  *\r
+  #1 entry.max$ substring$\r
+  'sort.key$ :=\r
+}\r
+ITERATE {presort}\r
+SORT\r
+STRINGS { longest.label }\r
+INTEGERS { number.label longest.label.width }\r
+FUNCTION {initialize.longest.label}\r
+{ "" 'longest.label :=\r
+  #1 'number.label :=\r
+  #0 'longest.label.width :=\r
+}\r
+FUNCTION {longest.label.pass}\r
+{ number.label int.to.str$ 'label :=\r
+  number.label #1 + 'number.label :=\r
+  label width$ longest.label.width >\r
+    { label 'longest.label :=\r
+      label width$ 'longest.label.width :=\r
+    }\r
+    'skip$\r
+  if$\r
+}\r
+EXECUTE {initialize.longest.label}\r
+ITERATE {longest.label.pass}\r
+FUNCTION {begin.bib}\r
+{ preamble$ empty$\r
+    'skip$\r
+    { preamble$ write$ newline$ }\r
+  if$\r
+  "\begin{thebibliography}{"  longest.label  * "}" *\r
+  write$ newline$\r
+  "\providecommand{\url}[1]{\texttt{#1}}"\r
+  write$ newline$\r
+  "\providecommand{\urlprefix}{URL }"\r
+  write$ newline$\r
+}\r
+EXECUTE {begin.bib}\r
+EXECUTE {init.state.consts}\r
+ITERATE {call.type$}\r
+FUNCTION {end.bib}\r
+{ newline$\r
+  "\end{thebibliography}" write$ newline$\r
+}\r
+EXECUTE {end.bib}\r
+%% End of customized bst file\r
+%%\r
+%% End of file `titto.bst'.\r
+\r
+\r

diff --git a/sprmindx.sty b/sprmindx.sty
new file mode 100644 (file)
index 0000000..8f17772
--- /dev/null
+++ b/sprmindx.sty
@@ -0,0 +1,4 @@
+delim_0 "\\idxquad "\r
+delim_1 "\\idxquad "\r
+delim_2 "\\idxquad "\r
+delim_n ",\\,"\r

diff --git a/subjidx.ind b/subjidx.ind
new file mode 100644 (file)
index 0000000..cd678e8
--- /dev/null
+++ b/subjidx.ind
@@ -0,0 +1,70 @@
+%                                                           clmomu01.ind\r
+%-----------------------------------------------------------------------\r
+% CLMoMu01 1.0: LaTeX style files for books\r
+% Sample index file for User's guide\r
+% (c) Springer-Verlag HD\r
+%-----------------------------------------------------------------------\r
+\begin{theindex}\r
+\item Absorption\idxquad 327\r
+\item Absorption of radiation \idxquad 289--292,\, 299,\,300\r
+\item Actinides \idxquad 244\r
+\item Aharonov-Bohm effect\idxquad 142--146\r
+\item Angular momentum\idxquad 101--112\r
+\subitem algebraic treatment\idxquad 391--396\r
+\item Angular momentum addition\idxquad 185--193\r
+\item Angular momentum commutation relations\idxquad 101\r
+\item Angular momentum quantization\idxquad 9--10,\,104--106\r
+\item Angular momentum states\idxquad 107,\,321,\,391--396\r
+\item Antiquark\idxquad 83\r
+\item $\alpha$-rays\idxquad 101--103\r
+\item Atomic theory\idxquad 8--10,\,219--249,\,327\r
+\item Average value\newline ({\it see also\/} Expectation value)\r
+15--16,\,25,\,34,\,37,\,357\r
+\indexspace\r
+\item Baker-Hausdorff formula\idxquad 23\r
+\item Balmer formula\idxquad 8\r
+\item Balmer series\idxquad 125\r
+\item Baryon\idxquad 220,\,224\r
+\item Basis\idxquad 98\r
+\item Basis system\idxquad 164,\,376\r
+\item Bell inequality\idxquad 379--381,\,382\r
+\item Bessel functions\idxquad 201,\,313,\,337\r
+\subitem spherical\idxquad 304--306,\, 309,\, 313--314,\,322\r
+\item Bound state\idxquad 73--74,\,78--79,\,116--118,\,202,\, 267,\,\r
+273,\,306,\,348,\,351\r
+\item Boundary conditions\idxquad 59,\, 70\r
+\item Bra\idxquad 159\r
+\item Breit-Wigner formula\idxquad 80,\,84,\,332\r
+\item Brillouin-Wigner perturbation theory\idxquad 203\r
+\indexspace\r
+\item Cathode rays\idxquad 8\r
+\item Causality\idxquad 357--359\r
+\item Center-of-mass frame\idxquad 232,\,274,\,338\r
+\item Central potential\idxquad 113--135,\,303--314\r
+\item Centrifugal potential\idxquad 115--116,\,323\r
+\item Characteristic function\idxquad 33\r
+\item Clebsch-Gordan coefficients\idxquad 191--193\r
+\item Cold emission\idxquad 88\r
+\item Combination principle, Ritz's\idxquad 124\r
+\item Commutation relations\idxquad 27,\,44,\,353,\,391\r
+\item Commutator\idxquad 21--22,\,27,\,44,\,344\r
+\item Compatibility of measurements\idxquad 99\r
+\item Complete orthonormal set\idxquad 31,\,40,\,160,\,360\r
+\item Complete orthonormal system, {\it see}\newline\r
+Complete orthonormal set\r
+\item Complete set of observables, {\it see\/} Complete\r
+set of operators\r
+\indexspace\r
+\item Eigenfunction\idxquad 34,\,46,\,344--346\r
+\subitem radial\idxquad 321\r
+\subsubitem calculation\idxquad 322--324\r
+\item EPR argument\idxquad 377--378\r
+\item Exchange term\idxquad 228,\,231,\,237,\,241,\,268,\,272\r
+\indexspace\r
+\item $f$-sum rule\idxquad 302\r
+\item Fermi energy\idxquad 223\r
+\indexspace\r
+\item H$^+_2$ molecule\idxquad 26\r
+\item Half-life\idxquad 65\r
+\item Holzwarth energies\idxquad 68\r
+\end{theindex}\r

diff --git a/typeinst.tex b/typeinst.tex
new file mode 100644 (file)
index 0000000..f60afe0
--- /dev/null
+++ b/typeinst.tex
@@ -0,0 +1,448 @@
+
+%%%%%%%%%%%%%%%%%%%%%%% file typeinst.tex %%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% This is the LaTeX source for the instructions to authors using
+% the LaTeX document class 'llncs.cls' for contributions to
+% the Lecture Notes in Computer Sciences series.
+% http://www.springer.com/lncs       Springer Heidelberg 2006/05/04
+%
+% It may be used as a template for your own input - copy it
+% to a new file with a new name and use it as the basis
+% for your article.
+%
+% NB: the document class 'llncs' has its own and detailed documentation, see
+% ftp://ftp.springer.de/data/pubftp/pub/tex/latex/llncs/latex2e/llncsdoc.pdf
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+\documentclass[runningheads,a4paper]{llncs}
+
+\usepackage{amssymb}
+\setcounter{tocdepth}{3}
+\usepackage{graphicx}
+
+\usepackage{url}
+\urldef{\mailsa}\path|{alfred.hofmann, ursula.barth, ingrid.haas, frank.holzwarth,|
+\urldef{\mailsb}\path|anna.kramer, leonie.kunz, christine.reiss, nicole.sator,|
+\urldef{\mailsc}\path|erika.siebert-cole, peter.strasser, lncs}@springer.com|    
+\newcommand{\keywords}[1]{\par\addvspace\baselineskip
+\noindent\keywordname\enspace\ignorespaces#1}
+\usepackage{epstopdf}
+\begin{document}
+
+\mainmatter  % start of an individual contribution
+
+% first the title is needed
+\title{Lecture Notes in Computer Science:\\Authors' Instructions
+for the Preparation\\of Camera-Ready
+Contributions\\to LNCS/LNAI/LNBI Proceedings}
+
+% a short form should be given in case it is too long for the running head
+\titlerunning{Lecture Notes in Computer Science: Authors' Instructions}
+
+% the name(s) of the author(s) follow(s) next
+%
+% NB: Chinese authors should write their first names(s) in front of
+% their surnames. This ensures that the names appear correctly in
+% the running heads and the author index.
+%
+\author{Alfred Hofmann%
+\thanks{Please note that the LNCS Editorial assumes that all authors have used
+the western naming convention, with given names preceding surnames. This determines
+the structure of the names in the running heads and the author index.}%
+\and Ursula Barth\and Ingrid Haas\and Frank Holzwarth\and\\
+Anna Kramer\and Leonie Kunz\and Christine Rei\ss\and\\
+Nicole Sator\and Erika Siebert-Cole\and Peter Stra\ss er}
+%
+\authorrunning{Lecture Notes in Computer Science: Authors' Instructions}
+% (feature abused for this document to repeat the title also on left hand pages)
+
+% the affiliations are given next; don't give your e-mail address
+% unless you accept that it will be published
+\institute{Springer-Verlag, Computer Science Editorial,\\
+Tiergartenstr. 17, 69121 Heidelberg, Germany\\
+\mailsa\\
+\mailsb\\
+\mailsc\\
+\url{http://www.springer.com/lncs}}
+
+%
+% NB: a more complex sample for affiliations and the mapping to the
+% corresponding authors can be found in the file "llncs.dem"
+% (search for the string "\mainmatter" where a contribution starts).
+% "llncs.dem" accompanies the document class "llncs.cls".
+%
+
+\toctitle{Lecture Notes in Computer Science}
+\tocauthor{Authors' Instructions}
+\maketitle
+
+
+\begin{abstract}
+The abstract should summarize the contents of the paper and should
+contain at least 70 and at most 150 words. It should be written using the
+\emph{abstract} environment.
+\keywords{We would like to encourage you to list your keywords within
+the abstract section}
+\end{abstract}
+
+
+\section{Introduction}
+
+You are strongly encouraged to use \LaTeXe{} for the
+preparation of your camera-ready manuscript together with the
+corresponding Springer class file \verb+llncs.cls+. Only if you use
+\LaTeXe{} can hyperlinks be generated in the online version
+of your manuscript.
+
+The \LaTeX{} source of this instruction file for \LaTeX{} users may be
+used as a template. This is
+located in the ``authors'' subdirectory in
+\url{ftp://ftp.springer.de/pub/tex/latex/llncs/latex2e/instruct/} and
+entitled \texttt{typeinst.tex}. There is a separate package for Word 
+users. Kindly send the final and checked source
+and PDF files of your paper to the Contact Volume Editor. This is
+usually one of the organizers of the conference. You should make sure
+that the \LaTeX{} and the PDF files are identical and correct and that
+only one version of your paper is sent. It is not possible to update
+files at a later stage. Please note that we do not need the printed
+paper.
+
+We would like to draw your attention to the fact that it is not possible
+to modify a paper in any way, once it has been published. This applies
+to both the printed book and the online version of the publication.
+Every detail, including the order of the names of the authors, should
+be checked before the paper is sent to the Volume Editors.
+
+\subsection{Checking the PDF File}
+
+Kindly assure that the Contact Volume Editor is given the name and email
+address of the contact author for your paper. The Contact Volume Editor
+uses these details to compile a list for our production department at
+SPS in India. Once the files have been worked upon, SPS sends a copy of
+the final pdf of each paper to its contact author. The contact author is
+asked to check through the final pdf to make sure that no errors have
+crept in during the transfer or preparation of the files. This should
+not be seen as an opportunity to update or copyedit the papers, which is
+not possible due to time constraints. Only errors introduced during the
+preparation of the files will be corrected.
+
+This round of checking takes place about two weeks after the files have
+been sent to the Editorial by the Contact Volume Editor, i.e., roughly
+seven weeks before the start of the conference for conference
+proceedings, or seven weeks before the volume leaves the printer's, for
+post-proceedings. If SPS does not receive a reply from a particular
+contact author, within the timeframe given, then it is presumed that the
+author has found no errors in the paper. The tight publication schedule
+of LNCS does not allow SPS to send reminders or search for alternative
+email addresses on the Internet.
+
+In some cases, it is the Contact Volume Editor that checks all the final
+pdfs. In such cases, the authors are not involved in the checking phase.
+
+\subsection{Additional Information Required by the Volume Editor}
+
+If you have more than one surname, please make sure that the Volume Editor
+knows how you are to be listed in the author index.
+
+\subsection{Copyright Forms}
+
+The copyright form may be downloaded from the ``For Authors"
+(Information for LNCS Authors) section of the LNCS Website:
+\texttt{www.springer.com/lncs}. Please send your signed copyright form
+to the Contact Volume Editor, either as a scanned pdf or by fax or by
+courier. One author may sign on behalf of all of the other authors of a
+particular paper. Digital signatures are acceptable.
+
+\section{Paper Preparation}
+
+Springer provides you with a complete integrated \LaTeX{} document class
+(\texttt{llncs.cls}) for multi-author books such as those in the LNCS
+series. Papers not complying with the LNCS style will be reformatted.
+This can lead to an increase in the overall number of pages. We would
+therefore urge you not to squash your paper.
+
+Please always cancel any superfluous definitions that are
+not actually used in your text. If you do not, these may conflict with
+the definitions of the macro package, causing changes in the structure
+of the text and leading to numerous mistakes in the proofs.
+
+If you wonder what \LaTeX{} is and where it can be obtained, see the
+``\textit{LaTeX project site}'' (\url{http://www.latex-project.org})
+and especially the webpage ``\textit{How to get it}''
+(\url{http://www.latex-project.org/ftp.html}) respectively.
+
+When you use \LaTeX\ together with our document class file,
+\texttt{llncs.cls},
+your text is typeset automatically in Computer Modern Roman (CM) fonts.
+Please do
+\emph{not} change the preset fonts. If you have to use fonts other
+than the preset fonts, kindly submit these with your files.
+
+Please use the commands \verb+\label+ and \verb+\ref+ for
+cross-references and the commands \verb+\bibitem+ and \verb+\cite+ for
+references to the bibliography, to enable us to create hyperlinks at
+these places.
+
+For preparing your figures electronically and integrating them into
+your source file we recommend using the standard \LaTeX{} \verb+graphics+ or
+\verb+graphicx+ package. These provide the \verb+\includegraphics+ command.
+In general, please refrain from using the \verb+\special+ command.
+
+Remember to submit any further style files and
+fonts you have used together with your source files.
+
+\subsubsection{Headings.}
+
+Headings should be capitalized
+(i.e., nouns, verbs, and all other words
+except articles, prepositions, and conjunctions should be set with an
+initial capital) and should,
+with the exception of the title, be aligned to the left.
+Words joined by a hyphen are subject to a special rule. If the first
+word can stand alone, the second word should be capitalized.
+
+Here are some examples of headings: ``Criteria to Disprove
+Context-Freeness of Collage Language", ``On Correcting the Intrusion of
+Tracing Non-deterministic Programs by Software", ``A User-Friendly and
+Extendable Data Distribution System", ``Multi-flip Networks:
+Parallelizing GenSAT", ``Self-determinations of Man".
+
+\subsubsection{Lemmas, Propositions, and Theorems.}
+
+The numbers accorded to lemmas, propositions, and theorems, etc. should
+appear in consecutive order, starting with Lemma 1, and not, for
+example, with Lemma 11.
+
+\subsection{Figures}
+
+For \LaTeX\ users, we recommend using the \emph{graphics} or \emph{graphicx}
+package and the \verb+\includegraphics+ command.
+
+Please check that the lines in line drawings are not
+interrupted and are of a constant width. Grids and details within the
+figures must be clearly legible and may not be written one on top of
+the other. Line drawings should have a resolution of at least 800 dpi
+(preferably 1200 dpi). The lettering in figures should have a height of
+2~mm (10-point type). Figures should be numbered and should have a
+caption which should always be positioned \emph{under} the figures, in
+contrast to the caption belonging to a table, which should always appear
+\emph{above} the table; this is simply achieved as matter of sequence in
+your source.
+
+Please center the figures or your tabular material by using the \verb+\centering+
+declaration. Short captions are centered by default between the margins
+and typeset in 9-point type (Fig.~\ref{fig:example} shows an example).
+The distance between text and figure is preset to be about 8~mm, the
+distance between figure and caption about 6~mm.
+
+To ensure that the reproduction of your illustrations is of a reasonable
+quality, we advise against the use of shading. The contrast should be as
+pronounced as possible.
+
+If screenshots are necessary, please make sure that you are happy with
+the print quality before you send the files.
+\begin{figure}
+\centering
+\includegraphics[height=6.2cm]{eijkel2}
+\caption{One kernel at $x_s$ (\emph{dotted kernel}) or two kernels at
+$x_i$ and $x_j$ (\textit{left and right}) lead to the same summed estimate
+at $x_s$. This shows a figure consisting of different types of
+lines. Elements of the figure described in the caption should be set in
+italics, in parentheses, as shown in this sample caption.}
+\label{fig:example}
+\end{figure}
+
+Please define figures (and tables) as floating objects. Please avoid
+using optional location parameters like ``\verb+[h]+" for ``here".
+
+\paragraph{Remark 1.}
+
+In the printed volumes, illustrations are generally black and white
+(halftones), and only in exceptional cases, and if the author is
+prepared to cover the extra cost for color reproduction, are colored
+pictures accepted. Colored pictures are welcome in the electronic
+version free of charge. If you send colored figures that are to be
+printed in black and white, please make sure that they really are
+legible in black and white. Some colors as well as the contrast of
+converted colors show up very poorly when printed in black and white.
+
+\subsection{Formulas}
+
+Displayed equations or formulas are centered and set on a separate
+line (with an extra line or halfline space above and below). Displayed
+expressions should be numbered for reference. The numbers should be
+consecutive within each section or within the contribution,
+with numbers enclosed in parentheses and set on the right margin --
+which is the default if you use the \emph{equation} environment, e.g.,
+\begin{equation}
+  \psi (u) = \int_{o}^{T} \left[\frac{1}{2}
+  \left(\Lambda_{o}^{-1} u,u\right) + N^{\ast} (-u)\right] dt \;  .
+\end{equation}
+
+Equations should be punctuated in the same way as ordinary
+text but with a small space before the end punctuation mark.
+
+\subsection{Footnotes}
+
+The superscript numeral used to refer to a footnote appears in the text
+either directly after the word to be discussed or -- in relation to a
+phrase or a sentence -- following the punctuation sign (comma,
+semicolon, or period). Footnotes should appear at the bottom of
+the
+normal text area, with a line of about 2~cm set
+immediately above them.\footnote{The footnote numeral is set flush left
+and the text follows with the usual word spacing.}
+
+\subsection{Program Code}
+
+Program listings or program commands in the text are normally set in
+typewriter font, e.g., CMTT10 or Courier.
+
+\medskip
+
+\noindent
+{\it Example of a Computer Program}
+\begin{verbatim}
+program Inflation (Output)
+  {Assuming annual inflation rates of 7%, 8%, and 10%,...
+   years};
+   const
+     MaxYears = 10;
+   var
+     Year: 0..MaxYears;
+     Factor1, Factor2, Factor3: Real;
+   begin
+     Year := 0;
+     Factor1 := 1.0; Factor2 := 1.0; Factor3 := 1.0;
+     WriteLn('Year  7% 8% 10%'); WriteLn;
+     repeat
+       Year := Year + 1;
+       Factor1 := Factor1 * 1.07;
+       Factor2 := Factor2 * 1.08;
+       Factor3 := Factor3 * 1.10;
+       WriteLn(Year:5,Factor1:7:3,Factor2:7:3,Factor3:7:3)
+     until Year = MaxYears
+end.
+\end{verbatim}
+%
+\noindent
+{\small (Example from Jensen K., Wirth N. (1991) Pascal user manual and
+report. Springer, New York)}
+
+\subsection{Citations}
+
+For citations in the text please use
+square brackets and consecutive numbers: \cite{jour}, \cite{lncschap},
+\cite{proceeding1} -- provided automatically
+by \LaTeX 's \verb|\cite| \dots\verb|\bibitem| mechanism.
+
+\subsection{Page Numbering and Running Heads}
+
+There is no need to include page numbers. If your paper title is too
+long to serve as a running head, it will be shortened. Your suggestion
+as to how to shorten it would be most welcome.
+
+\section{LNCS Online}
+
+The online version of the volume will be available in LNCS Online.
+Members of institutes subscribing to the Lecture Notes in Computer
+Science series have access to all the pdfs of all the online
+publications. Non-subscribers can only read as far as the abstracts. If
+they try to go beyond this point, they are automatically asked, whether
+they would like to order the pdf, and are given instructions as to how
+to do so.
+
+Please note that, if your email address is given in your paper,
+it will also be included in the meta data of the online version.
+
+\section{BibTeX Entries}
+
+The correct BibTeX entries for the Lecture Notes in Computer Science
+volumes can be found at the following Website shortly after the
+publication of the book:
+\url{http://www.informatik.uni-trier.de/~ley/db/journals/lncs.html}
+
+\subsubsection*{Acknowledgments.} The heading should be treated as a
+subsubsection heading and should not be assigned a number.
+
+\section{The References Section}\label{references}
+
+In order to permit cross referencing within LNCS-Online, and eventually
+between different publishers and their online databases, LNCS will,
+from now on, be standardizing the format of the references. This new
+feature will increase the visibility of publications and facilitate
+academic research considerably. Please base your references on the
+examples below. References that don't adhere to this style will be
+reformatted by Springer. You should therefore check your references
+thoroughly when you receive the final pdf of your paper.
+The reference section must be complete. You may not omit references.
+Instructions as to where to find a fuller version of the references are
+not permissible.
+
+We only accept references written using the latin alphabet. If the title
+of the book you are referring to is in Russian or Chinese, then please write
+(in Russian) or (in Chinese) at the end of the transcript or translation
+of the title.
+
+The following section shows a sample reference list with entries for
+journal articles \cite{jour}, an LNCS chapter \cite{lncschap}, a book
+\cite{book}, proceedings without editors \cite{proceeding1} and
+\cite{proceeding2}, as well as a URL \cite{url}.
+Please note that proceedings published in LNCS are not cited with their
+full titles, but with their acronyms!
+
+\begin{thebibliography}{4}
+
+\bibitem{jour} Smith, T.F., Waterman, M.S.: Identification of Common Molecular
+Subsequences. J. Mol. Biol. 147, 195--197 (1981)
+
+\bibitem{lncschap} May, P., Ehrlich, H.C., Steinke, T.: ZIB Structure Prediction Pipeline:
+Composing a Complex Biological Workflow through Web Services. In: Nagel,
+W.E., Walter, W.V., Lehner, W. (eds.) Euro-Par 2006. LNCS, vol. 4128,
+pp. 1148--1158. Springer, Heidelberg (2006)
+
+\bibitem{book} Foster, I., Kesselman, C.: The Grid: Blueprint for a New Computing
+Infrastructure. Morgan Kaufmann, San Francisco (1999)
+
+\bibitem{proceeding1} Czajkowski, K., Fitzgerald, S., Foster, I., Kesselman, C.: Grid
+Information Services for Distributed Resource Sharing. In: 10th IEEE
+International Symposium on High Performance Distributed Computing, pp.
+181--184. IEEE Press, New York (2001)
+
+\bibitem{proceeding2} Foster, I., Kesselman, C., Nick, J., Tuecke, S.: The Physiology of the
+Grid: an Open Grid Services Architecture for Distributed Systems
+Integration. Technical report, Global Grid Forum (2002)
+
+\bibitem{url} National Center for Biotechnology Information, \url{http://www.ncbi.nlm.nih.gov}
+
+\end{thebibliography}
+
+
+\section*{Appendix: Springer-Author Discount}
+
+LNCS authors are entitled to a 33.3\% discount off all Springer
+publications. Before placing an order, the author should send an email, 
+giving full details of his or her Springer publication,
+to \url{orders-HD-individuals@springer.com} to obtain a so-called token. This token is a
+number, which must be entered when placing an order via the Internet, in
+order to obtain the discount.
+
+\section{Checklist of Items to be Sent to Volume Editors}
+Here is a checklist of everything the volume editor requires from you:
+
+
+\begin{itemize}
+\settowidth{\leftmargin}{{\Large$\square$}}\advance\leftmargin\labelsep
+\itemsep8pt\relax
+\renewcommand\labelitemi{{\lower1.5pt\hbox{\Large$\square$}}}
+
+\item The final \LaTeX{} source files
+\item A final PDF file
+\item A copyright form, signed by one author on behalf of all of the
+authors of the paper.
+\item A readme giving the name and email address of the
+corresponding author.
+\end{itemize}
+\end{document}