diff --git a/mappers/notebook.tex b/mappers/notebook.tex new file mode 100644 index 0000000..d55f500 --- /dev/null +++ b/mappers/notebook.tex @@ -0,0 +1,760 @@ + +% Default to the notebook output style + + + + +% Inherit from the specified cell style. + + + + + +\documentclass[11pt]{article} + + + + \usepackage[T1]{fontenc} + % Nicer default font (+ math font) than Computer Modern for most use cases + \usepackage{mathpazo} + + % Basic figure setup, for now with no caption control since it's done + % automatically by Pandoc (which extracts ![](path) syntax from Markdown). + \usepackage{graphicx} + % We will generate all images so they have a width \maxwidth. This means + % that they will get their normal width if they fit onto the page, but + % are scaled down if they would overflow the margins. + \makeatletter + \def\maxwidth{\ifdim\Gin@nat@width>\linewidth\linewidth + \else\Gin@nat@width\fi} + \makeatother + \let\Oldincludegraphics\includegraphics + % Set max figure width to be 80% of text width, for now hardcoded. + \renewcommand{\includegraphics}[1]{\Oldincludegraphics[width=.8\maxwidth]{#1}} + % Ensure that by default, figures have no caption (until we provide a + % proper Figure object with a Caption API and a way to capture that + % in the conversion process - todo). + \usepackage{caption} + \DeclareCaptionLabelFormat{nolabel}{} + \captionsetup{labelformat=nolabel} + + \usepackage{adjustbox} % Used to constrain images to a maximum size + \usepackage{xcolor} % Allow colors to be defined + \usepackage{enumerate} % Needed for markdown enumerations to work + \usepackage{geometry} % Used to adjust the document margins + \usepackage{amsmath} % Equations + \usepackage{amssymb} % Equations + \usepackage{textcomp} % defines textquotesingle + % Hack from http://tex.stackexchange.com/a/47451/13684: + \AtBeginDocument{% + \def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code + } + \usepackage{upquote} % Upright quotes for verbatim code + \usepackage{eurosym} % defines \euro + \usepackage[mathletters]{ucs} % Extended unicode (utf-8) support + \usepackage[utf8x]{inputenc} % Allow utf-8 characters in the tex document + \usepackage{fancyvrb} % verbatim replacement that allows latex + \usepackage{grffile} % extends the file name processing of package graphics + % to support a larger range + % The hyperref package gives us a pdf with properly built + % internal navigation ('pdf bookmarks' for the table of contents, + % internal cross-reference links, web links for URLs, etc.) + \usepackage{hyperref} + \usepackage{longtable} % longtable support required by pandoc >1.10 + \usepackage{booktabs} % table support for pandoc > 1.12.2 + \usepackage[inline]{enumitem} % IRkernel/repr support (it uses the enumerate* environment) + \usepackage[normalem]{ulem} % ulem is needed to support strikethroughs (\sout) + % normalem makes italics be italics, not underlines + + + + + % Colors for the hyperref package + \definecolor{urlcolor}{rgb}{0,.145,.698} + \definecolor{linkcolor}{rgb}{.71,0.21,0.01} + \definecolor{citecolor}{rgb}{.12,.54,.11} + + % ANSI colors + \definecolor{ansi-black}{HTML}{3E424D} + \definecolor{ansi-black-intense}{HTML}{282C36} + \definecolor{ansi-red}{HTML}{E75C58} + \definecolor{ansi-red-intense}{HTML}{B22B31} + \definecolor{ansi-green}{HTML}{00A250} + \definecolor{ansi-green-intense}{HTML}{007427} + \definecolor{ansi-yellow}{HTML}{DDB62B} + \definecolor{ansi-yellow-intense}{HTML}{B27D12} + \definecolor{ansi-blue}{HTML}{208FFB} + \definecolor{ansi-blue-intense}{HTML}{0065CA} + \definecolor{ansi-magenta}{HTML}{D160C4} + \definecolor{ansi-magenta-intense}{HTML}{A03196} + \definecolor{ansi-cyan}{HTML}{60C6C8} + \definecolor{ansi-cyan-intense}{HTML}{258F8F} + \definecolor{ansi-white}{HTML}{C5C1B4} + \definecolor{ansi-white-intense}{HTML}{A1A6B2} + + % commands and environments needed by pandoc snippets + % extracted from the output of `pandoc -s` + \providecommand{\tightlist}{% + \setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}} + \DefineVerbatimEnvironment{Highlighting}{Verbatim}{commandchars=\\\{\}} + % Add ',fontsize=\small' for more characters per line + \newenvironment{Shaded}{}{} + \newcommand{\KeywordTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\DataTypeTok}[1]{\textcolor[rgb]{0.56,0.13,0.00}{{#1}}} + \newcommand{\DecValTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\BaseNTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\FloatTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}} + \newcommand{\CharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\StringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\CommentTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textit{{#1}}}} + \newcommand{\OtherTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{{#1}}} + \newcommand{\AlertTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\FunctionTok}[1]{\textcolor[rgb]{0.02,0.16,0.49}{{#1}}} + \newcommand{\RegionMarkerTok}[1]{{#1}} + \newcommand{\ErrorTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}} + \newcommand{\NormalTok}[1]{{#1}} + + % Additional commands for more recent versions of Pandoc + \newcommand{\ConstantTok}[1]{\textcolor[rgb]{0.53,0.00,0.00}{{#1}}} + \newcommand{\SpecialCharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\VerbatimStringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}} + \newcommand{\SpecialStringTok}[1]{\textcolor[rgb]{0.73,0.40,0.53}{{#1}}} + \newcommand{\ImportTok}[1]{{#1}} + \newcommand{\DocumentationTok}[1]{\textcolor[rgb]{0.73,0.13,0.13}{\textit{{#1}}}} + \newcommand{\AnnotationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\CommentVarTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\VariableTok}[1]{\textcolor[rgb]{0.10,0.09,0.49}{{#1}}} + \newcommand{\ControlFlowTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}} + \newcommand{\OperatorTok}[1]{\textcolor[rgb]{0.40,0.40,0.40}{{#1}}} + \newcommand{\BuiltInTok}[1]{{#1}} + \newcommand{\ExtensionTok}[1]{{#1}} + \newcommand{\PreprocessorTok}[1]{\textcolor[rgb]{0.74,0.48,0.00}{{#1}}} + \newcommand{\AttributeTok}[1]{\textcolor[rgb]{0.49,0.56,0.16}{{#1}}} + \newcommand{\InformationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + \newcommand{\WarningTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}} + + + % Define a nice break command that doesn't care if a line doesn't already + % exist. + \def\br{\hspace*{\fill} \\* } + % Math Jax compatability definitions + \def\gt{>} + \def\lt{<} + % Document parameters + \title{mappers} + + + + + % Pygments definitions + +\makeatletter +\def\PY@reset{\let\PY@it=\relax \let\PY@bf=\relax% + \let\PY@ul=\relax \let\PY@tc=\relax% + \let\PY@bc=\relax \let\PY@ff=\relax} +\def\PY@tok#1{\csname PY@tok@#1\endcsname} +\def\PY@toks#1+{\ifx\relax#1\empty\else% + \PY@tok{#1}\expandafter\PY@toks\fi} +\def\PY@do#1{\PY@bc{\PY@tc{\PY@ul{% + \PY@it{\PY@bf{\PY@ff{#1}}}}}}} +\def\PY#1#2{\PY@reset\PY@toks#1+\relax+\PY@do{#2}} + +\expandafter\def\csname PY@tok@w\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}} +\expandafter\def\csname PY@tok@c\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@cp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.74,0.48,0.00}{##1}}} +\expandafter\def\csname PY@tok@k\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@kp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@kt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.69,0.00,0.25}{##1}}} +\expandafter\def\csname PY@tok@o\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@ow\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}} +\expandafter\def\csname PY@tok@nb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@nf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\expandafter\def\csname PY@tok@nc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\expandafter\def\csname PY@tok@nn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\expandafter\def\csname PY@tok@ne\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.82,0.25,0.23}{##1}}} +\expandafter\def\csname PY@tok@nv\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@no\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.00,0.00}{##1}}} +\expandafter\def\csname PY@tok@nl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.63,0.00}{##1}}} +\expandafter\def\csname PY@tok@ni\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.60,0.60,0.60}{##1}}} +\expandafter\def\csname PY@tok@na\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.49,0.56,0.16}{##1}}} +\expandafter\def\csname PY@tok@nt\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@nd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}} +\expandafter\def\csname PY@tok@s\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@sd\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@si\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}} +\expandafter\def\csname PY@tok@se\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.13}{##1}}} +\expandafter\def\csname PY@tok@sr\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}} +\expandafter\def\csname PY@tok@ss\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@sx\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@m\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@gh\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}} +\expandafter\def\csname PY@tok@gu\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.50,0.00,0.50}{##1}}} +\expandafter\def\csname PY@tok@gd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.00,0.00}{##1}}} +\expandafter\def\csname PY@tok@gi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.63,0.00}{##1}}} +\expandafter\def\csname PY@tok@gr\endcsname{\def\PY@tc##1{\textcolor[rgb]{1.00,0.00,0.00}{##1}}} +\expandafter\def\csname PY@tok@ge\endcsname{\let\PY@it=\textit} +\expandafter\def\csname PY@tok@gs\endcsname{\let\PY@bf=\textbf} +\expandafter\def\csname PY@tok@gp\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}} +\expandafter\def\csname PY@tok@go\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.53,0.53}{##1}}} +\expandafter\def\csname PY@tok@gt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.27,0.87}{##1}}} +\expandafter\def\csname PY@tok@err\endcsname{\def\PY@bc##1{\setlength{\fboxsep}{0pt}\fcolorbox[rgb]{1.00,0.00,0.00}{1,1,1}{\strut ##1}}} +\expandafter\def\csname PY@tok@kc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@kd\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@kn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@kr\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@bp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}} +\expandafter\def\csname PY@tok@fm\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}} +\expandafter\def\csname PY@tok@vc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@vg\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@vi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@vm\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}} +\expandafter\def\csname PY@tok@sa\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@sb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@sc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@dl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@s2\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@sh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@s1\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}} +\expandafter\def\csname PY@tok@mb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@mf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@mh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@mi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@il\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@mo\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}} +\expandafter\def\csname PY@tok@ch\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@cm\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@cpf\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@c1\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} +\expandafter\def\csname PY@tok@cs\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}} + +\def\PYZbs{\char`\\} +\def\PYZus{\char`\_} +\def\PYZob{\char`\{} +\def\PYZcb{\char`\}} +\def\PYZca{\char`\^} +\def\PYZam{\char`\&} +\def\PYZlt{\char`\<} +\def\PYZgt{\char`\>} +\def\PYZsh{\char`\#} +\def\PYZpc{\char`\%} +\def\PYZdl{\char`\$} +\def\PYZhy{\char`\-} +\def\PYZsq{\char`\'} +\def\PYZdq{\char`\"} +\def\PYZti{\char`\~} +% for compatibility with earlier versions +\def\PYZat{@} +\def\PYZlb{[} +\def\PYZrb{]} +\makeatother + + + % Exact colors from NB + \definecolor{incolor}{rgb}{0.0, 0.0, 0.5} + \definecolor{outcolor}{rgb}{0.545, 0.0, 0.0} + + + + + % Prevent overflowing lines due to hard-to-break entities + \sloppy + % Setup hyperref package + \hypersetup{ + breaklinks=true, % so long urls are correctly broken across lines + colorlinks=true, + urlcolor=urlcolor, + linkcolor=linkcolor, + citecolor=citecolor, + } + % Slightly bigger margins than the latex defaults + + \geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in} + + + + \begin{document} + + + \maketitle + + + + + + + \section{Mapping values between grid +elements}\label{mapping-values-between-grid-elements} + + (Note: for instructions on how to run an interactive iPython notebook, +click here: https://github.com/landlab/tutorials/blob/master/README.md +For the unexpanded version to download and run, click here: +https://nbviewer.jupyter.org/github/landlab/tutorials/blob/master/mappers/mappers\_unexpanded.ipynb +For more Landlab tutorials, click here: +https://github.com/landlab/landlab/wiki/Tutorials) + +Imagine that you're using Landlab to write a model of shallow water flow +over terrain. A natural approach is to place your scalar fields, such as +water depth, at the nodes. You then place your vector fields, such as +water surface gradient, flow velocity, and discharge, at the links. But +your velocity depends on both slope and depth, which means you need to +know the depth at the links too. How do you do this? + +This tutorial introduces \emph{mappers}: grid functions that map +quantities defined on one set of elements (such as nodes) onto another +set of elements (such as links). As you'll see, there are a variety of +mappers available. + + \subsection{Mapping from nodes to +links}\label{mapping-from-nodes-to-links} + +For the sake of example, we'll start with a simple 3-row by 4-column +raster grid. The grid will contain a scalar field called +\texttt{water\_\_depth}, abbreviated \texttt{h}. We'll populate it with +some example values, as follows: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}1}]:} \PY{k+kn}{from} \PY{n+nn}{\PYZus{}\PYZus{}future\PYZus{}\PYZus{}} \PY{k}{import} \PY{n}{print\PYZus{}function} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}2}]:} \PY{k+kn}{from} \PY{n+nn}{\PYZus{}\PYZus{}future\PYZus{}\PYZus{}} \PY{k}{import} \PY{n}{print\PYZus{}function} + \PY{k+kn}{from} \PY{n+nn}{landlab} \PY{k}{import} \PY{n}{RasterModelGrid} + \PY{k+kn}{import} \PY{n+nn}{numpy} \PY{k}{as} \PY{n+nn}{np} + \PY{n}{mg} \PY{o}{=} \PY{n}{RasterModelGrid}\PY{p}{(}\PY{p}{(}\PY{l+m+mi}{3}\PY{p}{,} \PY{l+m+mi}{4}\PY{p}{)}\PY{p}{,} \PY{l+m+mf}{100.0}\PY{p}{)} + \PY{n}{h} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{add\PYZus{}zeros}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{node}\PY{l+s+s1}{\PYZsq{}}\PY{p}{,} \PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{surface\PYZus{}water\PYZus{}\PYZus{}depth}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + \PY{n}{h}\PY{p}{[}\PY{p}{:}\PY{p}{]} \PY{o}{=} \PY{l+m+mi}{7} \PY{o}{\PYZhy{}} \PY{n}{np}\PY{o}{.}\PY{n}{abs}\PY{p}{(}\PY{l+m+mi}{6} \PY{o}{\PYZhy{}} \PY{n}{np}\PY{o}{.}\PY{n}{arange}\PY{p}{(}\PY{l+m+mi}{12}\PY{p}{)}\PY{p}{)} +\end{Verbatim} + + + For the sake of visualizing values at nodes on our grid, we'll define a +handy little function: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}3}]:} \PY{k}{def} \PY{n+nf}{show\PYZus{}node\PYZus{}values}\PY{p}{(}\PY{n}{mg}\PY{p}{,} \PY{n}{u}\PY{p}{)}\PY{p}{:} + \PY{k}{for} \PY{n}{r} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}node\PYZus{}rows} \PY{o}{\PYZhy{}} \PY{l+m+mi}{1}\PY{p}{,} \PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{,} \PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{:} + \PY{k}{for} \PY{n}{c} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}node\PYZus{}columns}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n+nb}{int}\PY{p}{(}\PY{n}{u}\PY{p}{[}\PY{n}{c} \PY{o}{+} \PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}node\PYZus{}columns} \PY{o}{*} \PY{n}{r}\PY{p}{)}\PY{p}{]}\PY{p}{)}\PY{p}{,} \PY{n}{end}\PY{o}{=}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{ }\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + \PY{n+nb}{print}\PY{p}{(}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}4}]:} \PY{n}{show\PYZus{}node\PYZus{}values}\PY{p}{(}\PY{n}{mg}\PY{p}{,} \PY{n}{h}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +5 4 3 2 +5 6 7 6 +1 2 3 4 + + \end{Verbatim} + + Let's review the numbering of nodes and links. The lines below will +print a list that shows, for each link ID, the IDs of the nodes at the +link's tail and head: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}5}]:} \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{i}\PY{p}{,} \PY{n}{mg}\PY{o}{.}\PY{n}{node\PYZus{}at\PYZus{}link\PYZus{}tail}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{,} \PY{n}{mg}\PY{o}{.}\PY{n}{node\PYZus{}at\PYZus{}link\PYZus{}head}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 0 1 +1 1 2 +2 2 3 +3 0 4 +4 1 5 +5 2 6 +6 3 7 +7 4 5 +8 5 6 +9 6 7 +10 4 8 +11 5 9 +12 6 10 +13 7 11 +14 8 9 +15 9 10 +16 10 11 + + \end{Verbatim} + + \subsubsection{Finding the mean value between two nodes on a +link}\label{finding-the-mean-value-between-two-nodes-on-a-link} + +Suppose we want to have a \emph{link-based} array, called +\emph{h\_edge}, that contains water depth at locations between adjacent +pairs of nodes. For each link, we'll simply take the average of the +depth at the link's two nodes. To accomplish this, we can use the +\texttt{map\_mean\_of\_link\_nodes\_to\_link} grid method. At link 8, +for example, we'll average the \emph{h} values at nodes 5 and 6, which +should give us a depth of (6 + 7) / 2 = 6.5: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}6}]:} \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}mean\PYZus{}of\PYZus{}link\PYZus{}nodes\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{surface\PYZus{}water\PYZus{}\PYZus{}depth}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{i}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 1.5 +1 2.5 +2 3.5 +3 3.0 +4 4.0 +5 5.0 +6 5.0 +7 5.5 +8 6.5 +9 6.5 +10 5.0 +11 5.0 +12 5.0 +13 4.0 +14 4.5 +15 3.5 +16 2.5 + + \end{Verbatim} + + \subsubsection{What's in a name?}\label{whats-in-a-name} + +The mapping function has a long name, which is designed to make it as +clear as possible to understand what the function does. All the mappers +start with the verb \emph{map}. Then the relationship is given; in this +case, we are looking at the \emph{mean}. Then the elements from which a +quantity is being mapped: we are taking values from \emph{link nodes}. +Finally, the element to which the new values apply: \emph{link}. + +\subsubsection{Mapping minimum or maximum +values}\label{mapping-minimum-or-maximum-values} + +We can also map the minimum value of \emph{h}: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}7}]:} \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}min\PYZus{}of\PYZus{}link\PYZus{}nodes\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{surface\PYZus{}water\PYZus{}\PYZus{}depth}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{i}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 1.0 +1 2.0 +2 3.0 +3 1.0 +4 2.0 +5 3.0 +6 4.0 +7 5.0 +8 6.0 +9 6.0 +10 5.0 +11 4.0 +12 3.0 +13 2.0 +14 4.0 +15 3.0 +16 2.0 + + \end{Verbatim} + + ... or the maximum: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}8}]:} \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}max\PYZus{}of\PYZus{}link\PYZus{}nodes\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{surface\PYZus{}water\PYZus{}\PYZus{}depth}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{i}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 2.0 +1 3.0 +2 4.0 +3 5.0 +4 6.0 +5 7.0 +6 6.0 +7 6.0 +8 7.0 +9 7.0 +10 5.0 +11 6.0 +12 7.0 +13 6.0 +14 5.0 +15 4.0 +16 3.0 + + \end{Verbatim} + + \subsubsection{Upwind and downwind}\label{upwind-and-downwind} + +Numerical schemes often use \emph{upwind differencing} or \emph{downwind +differencing}. For example, finite difference schemes for equations that +include advection may use "upwind" rather than centered differences, in +which a scalar quantity (our \emph{h} for example) is taken from +whichever side is upstream in the flow field. + +How do we know the flow direction? If the flow is driven by the gradient +in some scalar field, such as pressure or elevation, one approach is to +look at the values of this scalar on either end of the link: the end +with the higher value is upwind, and the end with the lower value is +downwind. + +Suppose for example that our water flow is driven by the water-surface +slope (which is often a good approximation for the \emph{energy slope}, +though it omits the kinetic energy). Let's define a bed-surface +elevation field \emph{z}: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}9}]:} \PY{n}{z} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{add\PYZus{}zeros}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{node}\PY{l+s+s1}{\PYZsq{}}\PY{p}{,} \PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{topographic\PYZus{}\PYZus{}elevation}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + \PY{n}{z}\PY{p}{[}\PY{p}{:}\PY{p}{]} \PY{o}{=} \PY{l+m+mi}{16} \PY{o}{\PYZhy{}} \PY{n}{np}\PY{o}{.}\PY{n}{abs}\PY{p}{(}\PY{l+m+mi}{7} \PY{o}{\PYZhy{}} \PY{n}{np}\PY{o}{.}\PY{n}{arange}\PY{p}{(}\PY{l+m+mi}{12}\PY{p}{)}\PY{p}{)} + \PY{n}{show\PYZus{}node\PYZus{}values}\PY{p}{(}\PY{n}{mg}\PY{p}{,} \PY{n}{z}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +15 14 13 12 +13 14 15 16 +9 10 11 12 + + \end{Verbatim} + + The water-surface elevation is then the sum of \emph{h} and \emph{z}: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}10}]:} \PY{n}{w} \PY{o}{=} \PY{n}{z} \PY{o}{+} \PY{n}{h} + \PY{n}{show\PYZus{}node\PYZus{}values}\PY{p}{(}\PY{n}{mg}\PY{p}{,} \PY{n}{w}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +20 18 16 14 +18 20 22 22 +10 12 14 16 + + \end{Verbatim} + + For every link, we can assign the value of \emph{h} from whichever end +of the link has the greater \emph{w}: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}11}]:} \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}value\PYZus{}at\PYZus{}max\PYZus{}node\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{n}{w}\PY{p}{,} \PY{n}{h}\PY{p}{)} + \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{i}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 2.0 +1 3.0 +2 4.0 +3 5.0 +4 6.0 +5 7.0 +6 6.0 +7 6.0 +8 7.0 +9 6.0 +10 5.0 +11 6.0 +12 7.0 +13 6.0 +14 5.0 +15 4.0 +16 3.0 + + \end{Verbatim} + + Consider the middle two nodes (5 and 6). Node 6 is higher (22 versus +20). Therefore, the link between them (link 8) should be assigned the +value of \emph{h} at node 6. This value happens to be 7.0. + +Of course, we could also take the value from the \emph{lower} of the two +nodes, which gives link 8 a value of 6.0: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}12}]:} \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}value\PYZus{}at\PYZus{}min\PYZus{}node\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{n}{w}\PY{p}{,} \PY{n}{h}\PY{p}{)} + \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{i}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 1.0 +1 2.0 +2 3.0 +3 1.0 +4 2.0 +5 3.0 +6 4.0 +7 5.0 +8 6.0 +9 6.0 +10 5.0 +11 4.0 +12 3.0 +13 2.0 +14 4.0 +15 3.0 +16 2.0 + + \end{Verbatim} + + \subsubsection{Heads or tails?}\label{heads-or-tails} + +It is also possible to map the scalar quantity at either the head node +or the tail node to the link: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}13}]:} \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}link\PYZus{}head\PYZus{}node\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{surface\PYZus{}water\PYZus{}\PYZus{}depth}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{i}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 2.0 +1 3.0 +2 4.0 +3 5.0 +4 6.0 +5 7.0 +6 6.0 +7 6.0 +8 7.0 +9 6.0 +10 5.0 +11 4.0 +12 3.0 +13 2.0 +14 4.0 +15 3.0 +16 2.0 + + \end{Verbatim} + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}14}]:} \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}link\PYZus{}tail\PYZus{}node\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{surface\PYZus{}water\PYZus{}\PYZus{}depth}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} + \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{i}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 1.0 +1 2.0 +2 3.0 +3 1.0 +4 2.0 +5 3.0 +6 4.0 +7 5.0 +8 6.0 +9 7.0 +10 5.0 +11 6.0 +12 7.0 +13 6.0 +14 5.0 +15 4.0 +16 3.0 + + \end{Verbatim} + + \subsubsection{Simple example using centered water +depth}\label{simple-example-using-centered-water-depth} + +The following implements one time-step of a linear-viscous flow model, +in which flow velocity is calculated with depth at the links is taken as +the mean of depth at the two bounding nodes. To make the flow a little +tamer, we'll have our fluid be basaltic lava instead of water, with a +dynamic viscosity of 100 Pa s. + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}15}]:} \PY{n}{gamma} \PY{o}{=} \PY{l+m+mf}{25000.0} \PY{c+c1}{\PYZsh{} unit weight of fluid, N/m2} + \PY{n}{viscosity} \PY{o}{=} \PY{l+m+mf}{100.0} \PY{c+c1}{\PYZsh{} dynamic viscosity in Pa s} + \PY{n}{grad} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{calc\PYZus{}grad\PYZus{}at\PYZus{}link}\PY{p}{(}\PY{n}{w}\PY{p}{)} + \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}mean\PYZus{}of\PYZus{}link\PYZus{}nodes\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{n}{h}\PY{p}{)} + \PY{n}{vel} \PY{o}{=} \PY{o}{\PYZhy{}}\PY{p}{(}\PY{n}{gamma} \PY{o}{/} \PY{n}{viscosity}\PY{p}{)} \PY{o}{*} \PY{n}{h\PYZus{}edge} \PY{o}{*} \PY{n}{h\PYZus{}edge} \PY{o}{*} \PY{n}{grad} + \PY{k}{for} \PY{n}{ln} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{ln}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{ln}\PY{p}{]}\PY{p}{,} \PY{n}{grad}\PY{p}{[}\PY{n}{ln}\PY{p}{]}\PY{p}{,} \PY{n}{vel}\PY{p}{[}\PY{n}{ln}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 1.5 0.02 -11.25 +1 2.5 0.02 -31.25 +2 3.5 0.02 -61.25 +3 3.0 0.08 -180.0 +4 4.0 0.08 -320.0 +5 5.0 0.08 -500.0 +6 5.0 0.06 -375.0 +7 5.5 0.02 -151.25 +8 6.5 0.02 -211.25 +9 6.5 0.0 -0.0 +10 5.0 0.02 -125.0 +11 5.0 -0.02 125.0 +12 5.0 -0.06 375.0 +13 4.0 -0.08 320.0 +14 4.5 -0.02 101.25 +15 3.5 -0.02 61.25 +16 2.5 -0.02 31.25 + + \end{Verbatim} + + I'm not sure I love the idea of a 5-m thick lava flow moving at over 100 +m/s! (I guess we can take some comfort from the thought that turbulence +would probably slow it down) + +How different would the numerical solution be using an upwind scheme for +flow depth? Let's find out: + + \begin{Verbatim}[commandchars=\\\{\}] +{\color{incolor}In [{\color{incolor}16}]:} \PY{n}{h\PYZus{}edge} \PY{o}{=} \PY{n}{mg}\PY{o}{.}\PY{n}{map\PYZus{}value\PYZus{}at\PYZus{}max\PYZus{}node\PYZus{}to\PYZus{}link}\PY{p}{(}\PY{n}{w}\PY{p}{,} \PY{n}{h}\PY{p}{)} + \PY{n}{vel} \PY{o}{=} \PY{o}{\PYZhy{}}\PY{p}{(}\PY{n}{gamma} \PY{o}{/} \PY{n}{viscosity}\PY{p}{)} \PY{o}{*} \PY{n}{h\PYZus{}edge} \PY{o}{*} \PY{n}{h\PYZus{}edge} \PY{o}{*} \PY{n}{grad} + \PY{k}{for} \PY{n}{ln} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n}{mg}\PY{o}{.}\PY{n}{number\PYZus{}of\PYZus{}links}\PY{p}{)}\PY{p}{:} + \PY{n+nb}{print}\PY{p}{(}\PY{n}{ln}\PY{p}{,} \PY{n}{h\PYZus{}edge}\PY{p}{[}\PY{n}{ln}\PY{p}{]}\PY{p}{,} \PY{n}{grad}\PY{p}{[}\PY{n}{ln}\PY{p}{]}\PY{p}{,} \PY{n}{vel}\PY{p}{[}\PY{n}{ln}\PY{p}{]}\PY{p}{)} +\end{Verbatim} + + + \begin{Verbatim}[commandchars=\\\{\}] +0 2.0 0.02 -20.0 +1 3.0 0.02 -45.0 +2 4.0 0.02 -80.0 +3 5.0 0.08 -500.0 +4 6.0 0.08 -720.0 +5 7.0 0.08 -980.0 +6 6.0 0.06 -540.0 +7 6.0 0.02 -180.0 +8 7.0 0.02 -245.0 +9 6.0 0.0 -0.0 +10 5.0 0.02 -125.0 +11 6.0 -0.02 180.0 +12 7.0 -0.06 735.0 +13 6.0 -0.08 720.0 +14 5.0 -0.02 125.0 +15 4.0 -0.02 80.0 +16 3.0 -0.02 45.0 + + \end{Verbatim} + + Still pretty scary. + +In any event, this example illustrates how you can use Landlab's mapping +functions to build mass-conservation models in which the flow rate +depends on a gradient and a scalar, both of which can be evaluated at +links. + + + % Add a bibliography block to the postdoc + + + + \end{document} diff --git a/species_evolution/Introduction_to_SpeciesEvolver.ipynb b/species_evolution/Introduction_to_SpeciesEvolver.ipynb new file mode 100644 index 0000000..06e85a7 --- /dev/null +++ b/species_evolution/Introduction_to_SpeciesEvolver.ipynb @@ -0,0 +1,1816 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "# Introduction to the SpeciesEvolver component\n", + "\n", + "
\n", + " For instructions on how to run an interactive Jupyter notebook, click here: https://github.com/landlab/tutorials/blob/master/README.md
\n", + "For more Landlab tutorials, click here: https://github.com/landlab/landlab/wiki/Tutorials\n", + "
\n", + "\n", + "In this tutorial we will build and run a model that exemplifies SpeciesEvolver functionality. You will have the opportunity to\n", + "* Populate a model grid with species.\n", + "* Evolve species in response to climate change.\n", + "* View the SpeciesEvolver record that stores model variables over time.\n", + "* Plot some model output." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example model: climate change impacts on species distribution and evolution\n", + "\n", + "### Premise\n", + "\n", + "The elevational distribution of ecosystems is controlled in large part by air temperature. Ecosystems zonate by elevation largely because temperature decreases with altitude. Long term temperature change alters the connectivity of organisms within elevation zones. The macroevolution of species are driven by changes in the environment especially the spatiotemporal distribution change of species populations.\n", + "\n", + "### Approach\n", + "\n", + "We model the macroevolutionary processes of species in response to temperature change. The model progresses in terms of time steps with an unprescribed duration. Initial conditions are set in time 0. The initial topography is loaded from a previously run model and does not change for the duration of the model in this notebook.\n", + "\n", + "Air surface temperature at each time step is set by elevation using a lapse rate, the decrease of temperature with elevation. The temperature at base level in time 0 is 26°C. The temperature throughout the grid is calculated using the base level temperature and the lapse rate. The temperature is decreased by 6°C degrees in both times 1 and 2.\n", + "\n", + "At each time step, species distribution is set only by temperature, for simplicity. The change in connectivity of species populations drive macroevolutionary processes built into the programmed species.\n", + "\n", + "SpeciesEvolver is built to be adapted for many model approaches, especially for different species properties and behaviors. We will use `ZoneSpecies` in this notebook. This species type is distributed with SpeciesEvolver and relies on `Zone` objects to evaluate evolutionary processes. The macroevolutionary processes built into ZoneSpecies are\n", + "* dispersal: geographic range expansion\n", + "* speciation: lineage splitting (a species produces child species)\n", + "* extinction: lineage termination (a species no longer exists)\n", + "\n", + "In this model, the geographic range of species are set to the temperature interval, 15°C and 25°C inclusive, meaning the extent of zones is within this interval at each time step, and all species exist only in this interval at each time step. The type of species is unspecified, but is thought of as vegetation.\n", + "\n", + "### Summary\n", + "\n", + "In this model, we\n", + "\n", + "* Set surface air temperture across a model grid as a function of elevation.\n", + "* Populate species within the grid. These species exist within a fixed temperature interval.\n", + "* Simulate three time steps where surface air temperature has changed in the latter two steps, and species respond to this change.\n", + "* Examine how the number of species, \"species richness\" changes as the model progresses." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import modules\n", + "\n", + "The zones of ZoneSpecies are managed by a `ZoneController`, so we must import this class along with the SpeciesEvolver component and the other modules used in this notebook." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from landlab.components import SpeciesEvolver\n", + "from landlab.components.species_evolution import ZoneController\n", + "from landlab.io import read_esri_ascii\n", + "from landlab.plot import imshow_grid\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Prepare the grid\n", + "\n", + "### Load topography\n", + "\n", + "In this tutorial, the topography of the model grid is loaded from a file. The topography was previously developed using a model built with Landlab. An initial surface was uplifted, stream erosion was conducted using the FastscapeEroder component, and hillslope diffusion was conducted using the LinearDiffuser component. The model was run until topography reached steady state." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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3koQe7euNCL667nZ5fHXFi1FknLJtvPmc9XSaTMKlW+3RHY95dHmJJIpIkoQQ5YBilsF6Oo2pacRsg8APSEf70jYNvP4CQRB4ZW+P/bU1vvvoES/u7CCLIqos4+QcirMk150OhqqiyZ+f+gsCbo3FL6uIsshssUBTFERNQhZU8tM4qiwz930q7TaqLGMbBkaE8x+WSvTGY/RoIymyTGswwFAUprMZQgQbzBaL1SYez2ZMPI/NQg41pRMbW+h1NXxwNhOoSYP+B3WuOx1O63XulctMZzOSsRgZ26bW6zHyPFRZZrZYMJ7NeLi1tYoCiskklqYxaY1hGXBdb3Pd6dAaDHh+cxPXshhMJiu4rZROc1Kr8ZW7d3nryRNGnsdGOs399XX2oyjlqtkkH4/jmiaaLGNG93+vXMY1TZI7KRbjOcFsyaA15KrT4Vm1ykGhQMw0qbTbSKLIWiKBpeuMPA/9rMdePo8sSUznc0xNQ1+LUTQVJq0xg+mUjOOgyjKqLPNgfZ2EZWE6BvlpGGUtl0s0RcFUVZKxGGYshOdy8TjVbpe1ZBJRFBEEATXCo4vJJAKw9HzSu2k++tEzrtpt6r0ezcEAURSZLxb0J5MwATtdcFStUu12ue50+NLeHrZhMJnNQty9FOfo7Sp3y2Umsxm+tyC9m0EQQHE1prURjysVqt0uJ7Uav/7cc2Rcl1QsxtPra0RRRJHlMIKL62wsQpJNtdtFEASKG1livoH0qe9lHAdL15FtlUXXW+XCcvE4X71/n7/+5BN2CgWuWi1sXSdpKeS2M/hHAVa3yzIIkC0Vu2ijPOtwp1hkEHnya4kEpqYxmc2wBjMyexnmXY8gCNBkGVEUiek6xWQS09ERNZnxmYdrmiiyjHOYZvikjSAIq8S9LEmMZzMerK+zvZbH8+a4e0nGZ/1wXydclLhG47yFoaooskxM1xEiJ0tTlDAHkUrhmAZKMgFLmLTGdEcjPr68RJVl/vz99/nNhw/pjseMPI/F3GdtIxvO02hG5aROtdtFUxQyjoNjGByWSswXCxa+T8q2+fDsjIRlEbcsjE4IHZ/W6+wWCsQt63PUOLeRxS+tKAmd4jj0CP3xnG5rwFW7jSiKxE0z9FpEccWI0tdiUIHJbIauKCRiMVRDoZRK0ej3iVsWfhAQtywOo/zGdx894s1791Y4tzv3UZMG2Z0MiAJqXCOY+1w0WzT7fe6Wy8x9n1IqhZEwWHo+87ZP3LIQVBFbNjlYW6Pa7dLo93nz3j2+//gx65kMlq6zGdMoZJNossxkNiNhWSSTTogTGwbJWAw3emCeRYrLUFVihoG/XK4MniiKK+WbdhyCIFhBBLqigCAgaTL1ywYXrRaNXo8H6+uUUimuOx28xYI3Dg/54bNnFCOFPctk2NovsrZYIIkivfEYaxBj6fkrHP2tp09DjLtWIxGLkRFFWAbhGCNj1xoM0BUFTVEYD6ecNRqcN5s8v7nJ2PMwNQ05WjtREGgNh1S7XXaDPI4oUE6ncUxzhe23IojlJmICWEsmUWSZRq+HrqpkHQdNUbBsg3knhJEWvk8+k0BNGUiahD9ZMDzqMh3PWEsmkUSRq1YLVZZX+YTWYBDOY3Q9ArDTMfZlmbNmk3wqgZrQGdQH1Ho9vnL3Lt9//Jg3Dg9JxGJMWmMmsxn1Xo/NbBZdVVeG2ZvNGEwmXLRCBWy7GtVulzulEqPpFG/oYYo2clzDWCyYLRa8fucOP3z2jI1MhvV0Gk2WUacG096UarfLw+1tHl1coEVrLw8lTFNBEAQyrks5n2Z82mM89cjH4yiShCxJnDcaiNF8LuY+yYM0iqujZubkRi5q2kAQw8+f29jgqFoNc32iyHGtxr1yeaXkU/k4865HfxgaiotmE0WS+M5HH/G1559HiozLdaeDIsvEZzPigYviaFhRPsPSdYy4AcBssaDZ73NUrfLq/j7T+ZwfPnvGdi7HYDrlvNnkXrmMY5rYzi0M9f9GfmWNhaiIeN4cO28zqA44bTS4bLVIWNZKaYmCQD4ex3QM5l2Py3abSrvNvXKZsefBEpKxGA+3tvikUkFTFOKmydjzeGlnh7Tj8L2PPyYfj3PVapG0bUqzJHbCQi/EkC2V0XmPyWyGqeskLAvD0VGSBoIAzWdNJrMZndEIQRAobGaQJx4jz+P5zc0wGS3LoSEyTWRLYTnz8RYLTE3DDwIURyMzdtA0JcRhDYNRtxsm+SRphdVfdzoc1+u8f3LCm/fukXacMNFrGOzk8yRjMZ5dXzPPZCjZKlrGxLVDSO2wVOKq3WYrm8VbLHhufZ1mFPlsZjKkI69OVCVSBxkWgxn6QEON68yWU7QoSS1FcMCLOztcNJv4yyX7koQZYdGWpoUJ6SjS0VUljFAUBccwKKdSeBHx4MZY3RAFBEHgILpfIaKPioIQvo4MiyAIzFoTnlQqVDodXtzZ4bhWQxAE9gsFtLRJ46iBpWkYm0kUV2fendJ5HCqwi1YLXVFoDwb88Nkz3jg85LLdJu04pGybXDzOk0qFtONwXK9TikgLRiFGcblkOfcRNRlDU1frK4oi580myyBAkWWSlkUiYiJddzoIgrCChwRBIBWLhYoxgL18nsF0ymYxh5LU8ScLerU+l60WtW53lZi/aLWYzuc0+n3stoke19lcZPnR0dFqb7eHQwqJBNu6TDYdx58u0LIWlx9XuGg2cUyT2Xy+mlPHMOiORjimiVpR8T0fPWuR1mUkXWbWnuDETD48P+deuYypaTypVLhbLtMdjUKGnaYhx1ROT6tUOx1qvR6NXo9Ku73ao93RiO8+esRX7t7lg7OzFcvOmVjES3ECQnhKy5h0n7Y4aza5bDZ5cXsb1zS5bLUQBYFqt4trmtwpFqm028R0HTXzeRoLCILF53q+L5r8yhoLxdVJHqSZVIZMZzNiuk7atvnBkye8fnDAca3Gw60tihtZ1KSBP56T7tm0h0M0WaaQTqKmdOxxyOS48b5s0+RuqUQQBMiSRNw0aQ4GXLZaDKdTvPmc3NSlaMgIisTkasBePs/c92n0+2QAfc1muQi9kFIqxVW7HXqjiojpGOwHIaZ9Op2uEnnNwQC3Y2GUbXI9l/5kQtKyUFyNZFxn6S1Y1yQGnRGTiNUjiWLIVDIMfnx0xLNqlTcOD/n46opELBYar4SBHTGRmoMBreEQ8UqkpISw2jZ5Zt6cznCImjQozZJcttsc1+u8srfHOycnvLyzE8J1mkZs3SW2l8SfLJj3pvjj+QrmuFE0pWQyhO4yGSzbQNQk7K6O7KhIAzGEARUFRAEB0BUlZC65JuNGl4zr0h4MkESRg7U1CskkrmFgOgbPTq+47nSQRJG3nj7l9Tt36IxGLHwf3/cR7RCjb/b7YcJU00jFYiiqjCAJOLZFbC8R5ocaY2bNCVeRcrnudHBNkx8fH/P6wQFJ2ybtOLQGA7KOQzIW443DQ956+pSDYpHxdEo+kWDTlEncySDIItPqkP54Qmc45O2nT8k4DnfLZXIRCUNNh3M89/0Q9/+UoVtPp8nH46hJA8lUsIMAY6BjlGyCJUyrQ0RBIG5Z6IrCRxcXaIrCC59yPCRNQk2bCK0Rh6USY89b0YrXkknUpIGej+FPF0wu+6uI4Cenp6Qdh+8/fsxX7t7lh8+e4US5urPLGhvkUJMGWtpk8LhFq9qlPRyynsmQi8eZLxaokdEXBYF0xFATJIG1eBxLVUnZNv1Uiu1cjreePuUrh4fciRLoP3z2jFf39zmt15nO55QWKQpOhvReBiWuM70erBiEccuikEjQjZwwRZbZzGaJWQaCJNAdjcJ5VT7PBha3kcUvrQT+kvFFn/FwymmjwUWzyUWzyav7+yQjZst5s8nhoBxu8Mse9V6PuGmSTDpYmy6L8YLTeoiL3kQbIhCPWTT7Axa+z7Nqle5oxP31de6USmFYrGnhJnVU7P0UBAGL8Zzp8Ry7HOK5wXxJ+iDEs7vvjEimHRRHI1gs0UYy/ckEf7lEEsUwMlFVZDOk+k1mM3ZzOVrDIfKlgn2YZtQcMx149MZjjqpVnl5f8+r+PsOIllpIJDip11FlmVd2d3l6fU1M17Eag1WS+4WtLRzDwIgbKAkdURYYVgbUez321tbwpwsG0ykXUSj/XmQo3j895aWdHa47HdZ1mcBfomctZp0plVqLardLyrZRooRibzxmf22N6XyOaMgotopjmihxnfTIoT8eo2oKalInMwyppnHTRJRFjqtVrjodat0ur+7vU+v1VvBSXAiNfb3X47LV4vWDA4bTKc9F+RHLNhj3w8jiweYmoiBwr1zmqt3GXy7ZMBXsu2msksP4qs/kvE+11WHkeVy2WvQnE45rNV7Z3aXW61FIJFhLJtEVBds0GXoeJ/U6oiBwv1wmblkh9p80EESYVgaM2mMq7TY/Ojri1f19jCgJnrJt5osFsq2SOsjw5McnnEZ0aUWWeXp9vWJzidUh+lqM2G4SfzxnOfeZVkfUrtshhBkRH35td5fjWo3nNze5E0GniAJyTMUwtNVesXUdQ1VRLTWMXr0FXm3EuDuh2u1iqCq5eJz/65NPeP3OHXRFQY+M0CdXVxyWSgy6I5RaGJEaJYesIWNf6wCYJYfxZci402QZw3WwtuOo7SmKq60i+nq/T9ZxeOf4mIRloasqgiAwnE55dX+fH0dz5hgGqiSx9HyW8yVa1kRN6OTXUtiGwVmjwdz3OW82eXR5ySu7u6GzZymhQ6ZpuGsuiqt/fvomuDUWv7SyGM6YjLxVHcByuaQa4Z6qLK9qA4ajCdrQZDKbsVkMC+wmIw9zCaIqoSkKqixj6TqlyPPqVnuc1utcNJu8tLPDX37wAY5h4M3ndEcjrjsddskjOxp6FOoKnQnJnIs/WSBKIrKtM+tN8a5HrJeyKEmDaWXIoDXkutNBVxRSto0sSSEGn0ygJHRUVyd1kMEfzskZCqIqIcgCzav2KtcxjLxFRZa5G+Gz9X5/5dkXk8mwBqJeJ6br2IbBvaguRY0eKjmmImkSsVJUC1K06Z13V4azF9FBY7rOSzs7fHB2xq/fv8/xZZXcwCWlSEhGCD+lHYePzs95ZXeXd05OOCwWsXQ9jOoSOnJMxU3bKPEQ9jE1DdlSCBYBk9mMg7U1LlstdFVlK5dDkWWavR6KLPNcxHJyrVApx3QdVVGQo/u/Vy4jiiLpQgJBERk0uyGXX1UppJMs5/6K1BD4S0RZxOtMWM581LTBmh7WFvQnE8YRfVQQBJ5bX6c7HpN1XTaLOdSEjut5ZByH41qNeq+HJEnYenh/886EWqVNPVqjL+3thcZ2d5f76+s0ej00WcYdzAjmSxRJIqbrvP3sGa/s7mJGdSrT+Zz8JE5Zl/GTJl5rwrwzpVPvocoyGccB4J2jI968d49GFEElTJNsNo6a0AnmPrKrInVEZEla5cmCIKBoyoiqtNpPH19dkXdd3n76lC/fuUMqigjkKH8x9jzOm00SlhXWVigS1oZLsPCZdaZhrkgVmc7n6IqCpMvEdpOocR0tbTK+GlBKJtGiGo2bCEJTFE5qNRzDYDuXQ5YkXt3f50dHRysa8Mz3mS8WbMU1jLyN15isCvO8xYJSKoWpabx/ekpM19FVFXszjqVpyLaKljA+V51zC0P9EosgCDypVOhPJgymU17a2eG9kxP219awSyWKySSd4RCCgOxOBq86InaYRulMUByN5dzHjIqI5osFajx88GOGTiGRCIv8bJtX9/dXm7w9HHJvfZ16r0f2TGAx8NDSJmrKDD0ZARRbQzYVrJKLElMJljDvTmnXe1y0WlQ7HZKxGO+dnPBru7uc1uvsFQoIVZHlzEfLmJhrDovxHEEWmHdD9soN5dQxzRVMoysKhqFRiMc5q9dXCe5CIkFM17lstThYW0NVFI6rVfrjMTkvTlqTEVNhLieVj6PGdVofDdgvFBAEgUa/j6YoKJKEYxjsFQp8dHFBxnHCHEN3ir4WRnC1KGE7mc2QPpVonnemiLKIHFOx76RQbI3ajy5JOw5qKkySFsUc866H1u+jqDKt2oDrToeXd3f5yekpL+7soEUJcWU0p5BIMJnNVlj1YrkkYRgEy+AzbJ7BdErBD1BdHacX1l7ItopkyEwqA0bHXXrjMelCAgnynAEAACAASURBVFkUaQ0GzH2fn5ye8qX9fZKxGFnXZeH7aGmT4WV/BXuIgsB6RBVVYirBYomgSCsDrkZMuxtml63rJGMxJhEBYdKd8tHFBc3B4DOR270oVzT3fXqNAVrGpHPUojUIo8PBZMJwOl3ViyRiMe6vr3PVauEYBumUiRxTmXWnNM5bnNbrHEa0V8c0aQ0GBLMl/nyJKsvELYtiIsHbz57x2sHBqkix0m6jSBKtwYAXNjeZ+X5ItlhPoMY15n2P4VGXVm9AcT8fznEmLDIM5ksEKVyHaX3ErDGmNRzizefYhrEy8vl4PIQ2VZVN16U9Gq2uO5yGxIfWYIBrWeTP+igxFaNkI8cUprUR140GZ1Ge8qWdHWZRhwVjZJI6yDBrTphnvM9R29xGFr+0Yu+m0HMxJFHkutOh3uvR6PdRZZkgCBhMp6QyLhv3N1FcHcXWGKf7mEUHs+gwqQ3xGiFDYyuXI5uOoyR1ppdDjqs1Mo7Db77wPAt/ufLebpTo9x8/5sHGBgFw+bRFLsJk45aFUbSR91VGl32Gxx30fIxpZcDlef0z40w7Dq5l4ZgmX3vuORRJ+sz9+ZM5g8ctOq0+7eGQs0aDnOvy3ukpz21s8M0XXuCs0aA/mZBIhBGKqihIokiz32e3UMB2wgpsNx5DdlQMReG82URTwkQ6kkDmjXUUW2VSG3Lw2i7T6yHN6w6DyQRb1wkgjHpkmb9+/JjBZIIoinAGZUKW2b60xnA04bTRWCmhhe8z833k8ZzGu9c4JRc9Z5E+zGKWXQAGz9rMW2ENyVY2i1G0SbQt3rhzB0EQ8JdLPrq4YC2RYDObxXRCZZN1XV4/OODd42P219aIaRqLwQzZVimU0hzXauRcF1GTUBI6++U9BElAsTUGT1qcPL5aKd73Tk8ZeR7jKMfymy+8wNPra2RJYiefY+EvOfnogpN6nSeVCs9vbvKtF1/k8dUVWdclN3NJA/adNKXkBu4nTdymyfunpysG2rNqlXI6TWkzhxLXWVZDJfn6wQHDqBpfliQEYCeXw46ZaBkTPR8jo0q4nTjLuc+8NaUzHNIYDHj/9BRZFNm9t862V6Rb7dGudMjGFPSsRbLtEOt20WQZeyOOIAs4Qwd9zWZ8GlZoB0HAOycnfPnOHdYSCVzLYrlcUkgkqEYtXvLZZAirLgMUV0NxdYbP2sR2EyTjBRRHZ3TRY9qdsnGnyHLur4gf9af1MOLvdnn3+JjFcsnrN9cyTb7+4AFHtRpq0sCYz0OGYkRxj1sWjmHgmAbOc1nm/SnNx6EB6U8mZByHQiJBrddbVe5btoFkKGhpE/cgg2Krn6PGCb7wkYUgCK8B/wT4ClAAJsCHwP8B/M9BEPT+ruN/4cZCEAQJ+BFwFQTBtwVB2AL+EEgC7wC/FwTBTBAEDfifgJeAFvCPgiA4jc7x+8B/CPjAfxwEwb/4edf12mNGp11iJYeyEiairzSN1mCwYjX5kwXL+RJBFNCSBpIm408XzAcek4s+nesuu4UCetJAz4bfHwzH7BQLKAmNWWOyauFxw69/uL2NIkk8vb7GVFXulsusFVLIjoaa0FHiOsEyYHzRo1vtYY/n9HphoV/KtkO2TZRkf7CxwZNKBU2W2TtcR9Rl1ISOmjAIFkuMtRiiImJ1w2rm909PV0V+bpSIbw+HLBdL2sMhkiAw9jzWMxn0uI5kKWyKefqdIemMiZOx2VUULppN1pZLRF0CP6QWK5bK8FmbRiWEJ/YKBT65ukKVQ9hCjwzRRiZD1nWxXBMlqePVxpzXGtR7PY5qNR5ub/Ph+TkvbG7SGg5Zm8ZXCei0KuEcpFFsleV8ibXuImkS3uMFsb0kWtqkOMjhTxe0Gt0QvxcEColE2A5CERlGbSI+ODvj4fY2l60WjysV1pJJNnUZ0ZC5UyxyUq8znE4pej7O/TRW2SVYBhhFh/XJAq/vMfE8JrMZ/cmED87OSEZtY647nTDRnDLonDY4rtVWLS+Oq9VVYdrc95EkCSVpsFwsmTXD9jC2YVBMJsNamqjFynQ2A2C58Fn4Pq5lkXNdFElir1DgJ6enpGybZCwWMq/GbkjDfdKm2x+iyDLXnQ6iIPDo8pLnNzfpjccY1ypq0iC9F7LUlLjOYjRnOvJWFfOiKhHbSuBP5ixGszA3NZnQ6PdRJInRdBoW2Okqx5Uq153OKl+xlkyybPXwg4BsNoEc08JcirfAKrn0n7XwGiPsDRe9EEMQRWadCYt+CJU+qdf55OqKh9vbvHt8TG80Im6aZNNxZFvF6RvMO1MuWy3agwEvRpBnMhYjGYuFrXrKDkpcJ7WVwm6ZXNfbPLq4CFmFGxs8urhgMpuFzLmRg6RJLGdL1LH2ueq6L3JkIQjCnwIV4I+A/xKoAzqwD/w68EeCIPxBEAR//K87x/8fkcV/AnwMONHr/wr4b4Ig+ENBEP4HQiPw30d/O0EQ7AqC8I+j7/0jQRDuAv8YuAesAf9SEIT94OeszKwzZXg9YLYIqzq96K8oinRHYWFV3LLYk0RETUZUR6iOxqQ2ZHzRw2uN/6YGI2ehJg0GT1qkdzPMWhN6Vz164zEXzSYPt7d5/+QESRRDaqOqoisKp1GyM/ADgsWSwF9CAIIYcvCDIODo4prWYMDI81Ye7E2F9yyiqT6rVleMEjdpE9sTYLlkdNRdtV84azTCSlVFoZxOY8dMlISGcimjJnWyrrvq09MZDkn1Y0iGjLUVZzldoMY1JF1m3B6zVchx3WyzfLLEztqImowgCvSv+sx8n91CYVWP4pom/nRBpdPhfrkcKsCoXkPSFdSEzvoshGTOGg0MVeWFzU0+vLjgwcYGH19dhdW9CYvJeR/JkFFcDdU1UGwNrznCsEKK5WLohRDHaMJlu81RlLz1FqFHN+2GbT5qvR7Pb20hCWHdRSmZZDKbIWoSakLHaIaFYhnHQctbeK0JkqmgJU1ERUTLmAiyiOqpdC9rIRspIhp4iwWWrmOqKsuZjyyFeS1JFNFkeVVX8M2XHhL4S9SUEUIz3SmtkxAy6o3DJPcNDCWLIsXNHEpCR7FVEptJ2qMRhqOTkyT6kwlys8lmNrtiTWkZk3nPozcY0RoO6Y/HIRQ1nfJgfR3XsjiuVhlMpxRnSdJuBvsghaRJDI5CSu50NiOzk0F1NVRHY+ot8CfzsMBvaFDr9VZMLBEQlBC+HE6nZFwXVVFWrXP2CgW0jMlytkAyZOyNBEpMBUHALDmoCYP50GPWGrEYzlb5m5iu88LmJovlEjGqe7p57tS4HhoNS2XTz5KMxWgPh4iiyGY2i2uaWJrGYjRDisgf3e5wRaD46OICVZaRJCksOtQ0VEnCa4xZnPZw7n1+XcnDBPcXOrL4vSAImj/13pDQYX8H+K8FQfg7mx/+Qo2FIAgl4N8mtGT/qRCC1b8B/HvRV/5H4D8nNBa/E/0P8L8B/130/d8B/jAIAg84EQThGfAK8P3/J2O4arcZex7D6ZSx5yGLIuuZzMqLF1WR8UmXYLHEn8wxshaSLqNnLYx2SMVT4zqqrWHvpxiddGk3w9zCTZXwl+/c4eH2doihb2+jyTK5eBxDVTlvhrUUpqaRasQwN3xi2wnMcmg75YpExgkL6wbTKT85PcVbLMKma7bBaDBBU5QVG0YQBLSuiZY1MTYd8k2FxYUfep/n56vKdCcRQ8/HSBsKgwhWkEUxZAJtbIQ9gqR8SME8TLMYL9BSBok7GebdKWpPwV8uV/kFJaai6yrFpMmoPea82eSgWAwT+4sFth4ySw7W1sLWEa7G0lswa00YjUMo6fnNTQaTCcVkkuc3N3l0eclz6+tIokirEdajpB/5GCkTa8NFS5ro2RjznocSUxmddTmuVOmMRgwmE2RRRJEk8vE4uqsjiCFttNHvo8kyG5kMyyDAdPRQ+acMjILN6DhMcsuiSO2ojqXrBIslkioz702ZXAyotjqokkQQBHx8dcWD9XUGUe8sW9dRHI1Zd8pVu81wOg3bxYgibtTYcTn3UVwNKaYgqjJqQlx5vpORh6YofHB2xkWzGSq9kYGoS8iWguJobJSyYd3EeLxqL3Nar9MbjUjaNtmpw9pLZTIbKdy2xWg8pT0c8ujiImwfk0oR03U2MxkCwgp3UZUIlgFq0sDyFliETpWoy8yHM2a9KcOjLs1uf9UQUozYSJftdtiWxTHIT+Jk03FownsnJxyWSnSGQ6y2yeSij3M/w8LRERUReytBEATMOmEivv24iabImFGx6Ifn57yyt0ej10MSRfLxOPl4HEmLqMyHaXzPxx/Pw1qMbpcXNjd5dHGBY5phixzfJ69IqEmDVCmBres0o+JO2zC4Xy7z8eUltmFg6WGOKp9KhD06Pjf5YucsftpQCILg8Cn9HwRB+28xJp+RX3Rk8d8C/xlgR69TQDf4GxN8CRSj/4vABUAQBAtBEHrR94vADz51zk8fsxJBEP4p8E9vXitxDXcrwZ4oMpnPmcxm9MZjfnJ6ymm9TqPXw9JDqqat67iDGXrJxt5NoqdNEGAxmuOP5wiSyGzgMWtPIAhIpt1VN9TuaMTY88JQOipwWiyX7BUKpG2b3njMZjGHbKshO0QWERUJoxB67GraZFodItX6jDxvxaCZ+z6IAvFyHP9siaVpOK6FmjJCKKHv0T/q0B4O6U8m6IoSGsJ0muVyiTf0MCYLZs3xqifTw+1tVFnmuFbj/vo61VaHkq1iWgr2TpLFeMa8N6V71aWwlUHSZabXI/zJHDFjYaw7tB83uGq3KSWTJDIOwXxJrdkMu8KqKneKRUrrWRAFZp3pqj1JvdfjS3t7WJpGLpVYtbT4+PJyVe9gRS0h7MWCYOYj3BUxMjG0jIliayhxHVPTyLpu2AMpmvftXI6YpqHnrDBJGnnsneEQSw+L1dR0iFfPBx6t4ZDdXI6LVoutUh5zw2ExXiDIIsv5kuNKdQVnjTyPnOuGjQSj9iTzxQLZ1UAS2PSzyFGyV4y62d4tl3lareL0DOItC7fsY+8lWc6XAKgpA69SQRQEtnI5ar0e3nxOqm+TUST0vIVXl7m+DhssVjodntvYQFdVat0uOdclUYxHhAsFyRrBabAq4kvFYpiOTnGeojcek03H0bMWsi4zOO6EVdnjKZnn8mFdRS7GfOCxGM6QDBnHM1YFm0+vrymmUmyk05iOgV6IsWbKeI0xzX6fw1KJo6jH1eVFnVI5y7Q6ZDlfYm8lmPWmACzGcyaXAzRF5qhaw9I0nl1fc399HTmq+L/pLOAHAfnZjIIuoQoC875Hq9XDWyw4LJUYRrDYVjZLxnFIlsLKeDWuE/hL/PECdSKvCBiqorCdz4ftZVQ1zK0kwzzl5ycBy+UXOrIAQBCE/wj4LwjzFTfWMgC2f96xvzBjIQjCt4F6EAQ/FgThqzdv/y1fDX7OZ3/XMX/zRhD8c+CfR9cOBFFAUKQw2RqJGDU3283nw5bMioKdiqE4oSJS4+EGmg88xmc9ppUh7vNZlnMfrzlmdNylOxohS1IIa0Tnu2lup8hy2FNKklBEMaRezhIIkoBZdpAdDaMQQ1Ilpq0x09oQSZe5PK0BhEq8XObjqyvWo35RRpRA96IGe2LPwyjYSK6Ou5vEaBkIF4Q5iajxWjmbRk0bLEYzWo2wIlYQBJSoxfT99XXOGw0OikXa113kmIoc81h6CwjCIjg1ZaKnTdSkgdeahBCNKqFGsEsq42IUbYZP2mG7aFHE0LSQthoxU0bH3dArlkImUDLrkhKFEF9WRIZR/cJeoYATNQ6MpaxwLRI6qh3+FZUksqUy608pbeZYdL1VC5H76+uMPS/8TZGORzVSrB9dXKw6DTumSXpkk1Mk9JzF2laWpeej9sJ8i2ypGGtOaJBcne1SnsnI46RWYzKbUUwm8eZzips5tKwJy7By3p+ELdVv9sJkNiOIWsK4pomRMEIYKqJozrtT6kdhI0dL05AkCVEQwqS1E861EtcxMjFGx13iUVNKKYqgXMMgHrGW5mcLjDWb5XzJ6LhLvd8nFq2DIAhMBx7ZnQzLmc9iMAuhz5uGfPtJgkdNjIKNbCghPNSdMjzqUO/3aQ2HdIdDUrYd7qno3vTRDGU0QzYVOrMZ+XgcCOnWF60W+4UCtes2rmkiiALztMngSSvsQ5WxEFWJq2oYST2O6jNuWtWkbJvLVotS1I7d1DQW/Rnj2oj43Qy5zQyJZmzVzkMUBK7abRRZZi1bCvdpc8zwSZvOYMhlu82dYjGs3u506I3H3CuXw/vxZCYRg+rzkrCR4BffWAD/DLj386KIv01+kZHFl4F/RxCEbxEmUhzCSCMuCIIcRRclwqQLhBFDGbgUBEEGXKD9qfdv5NPH/Gtl3vPoP2tzWq+vaIWD6ZT75TKXrVbYqlrTUBwN2Qn/qlGRjtcc4XsL7Ltp9IzF6LxL92mL9jDEQ2+YMiPP48H6+qrD5g1V1TVNBtMphmqTOsigxFQUV0dLWwiSwLQ5YnzRZ3o9RLLC6uSrVot75TKL5XLVJVOTQ/zeaYfh9nWnw4aVYzGaoWcsFFdnWhlS3Mxx/V4XKTKM4/EUsS+i5WMkEmF088LmJh+cn69+eOagWOSq3WYvn2d43gspwRtxggAWgxksl8gxFS1pICjiqlZAS5mogwGiJjM66dIfT3h2fc16lNiudbsYth56b3GdfD658vL94RwtbyHIIuP+hNliwb1ymSeVCvfKZXRVBVGAICAIomTvOFLI1SH+ZIHihMymm5oRVZYpJsKGjYvBbNUrSRQEtrJZUrZNzNBR06EiVlwdfbFkeh0mhYftEVJFRo6pLL0Fkh7mceYfN0naNtVuOK9rG9mwziUZKv7FeEav0uOy3Q4rgqO6CFWSUOM6F2c1ynEj3FcJA685wmuOV5DiWaPB/XKZp9fXq15Y4lBCVCUmmkTrIixS608m3C+X+eTqinvr6yQta1XXoTghTVXPWsRmMx5H8/ikUmEzm8XZSRBbd1l64bwptoq9m8RrjZFtFSWm4rUneM0Ro9MeoiIRt6yVw/PB2RkPt7b44PyctUQibD+vyth3kmT2s8zaE66vmshREr7S6bCXz2Ntx9GSJrKpsPR8es0BRmMMgKXrPL664k70Oyrba3l6g9HqGTqt12kNBsQMI/wBLMfByFmIchiptrtDvKj/2GY2y9gLDZ2gSIyOurQGQzrDIXuFAqYTOky2YVBKpXhSqeBGv3+xlvybSO/zkYDwNzq/8HIEjP+/HPgLMxZBEPw+8PsAUWTxz4Ig+PcFQfhfgX+XkBH1HxBm5wH+OHr9/ejzvwiCIBAE4Y+B/0UQhD8gTHDvAW//vOsrroazm2RXFBlFraw/Oj9HVRQOSyUqkbeRnbgrCEO8E7JijEIIS5hFJ1T0cZ34Xgrz/+buzWJuW9e8rt/o+9l3X/+t5lvNPqcoKApLCjSgiVEv9ELkzojxEmNULgBjolE0xAsTLsFAAsSIJHqhidEQEU1FrcKqOqFO7bO71X/9/GY75ug7L56x5q4DnHPq4Nai9khW9lpzz3bMOd7nff7Pv1m4TNZSJNZxzPffv8fQdb7//r0odlsI4s3dHS+OjijWGbonVD1FUzF7NslNyO71ivQuIkxTdouUdRTxosX/71rstuM4aK3PzsDzcE46nHkm8/maUVELhNWzZd4QZjyZThkGwZ6yOUt7HDo65tBhGvX4pR/8gN9zdsZvvn/P7zk/Z+B5XLSpYY9nU9KrkO7zETQNmmug6Bqqru47iiopUU2NxbslR+dTFE1hvtjw4eGBF0dHdF0X1dE596asFluoG4KXMi9L8pyXx8e8ub/nsTnD9cSszrdtfnB5ycvjY97N5zyEIZO4i2dZBL6Lfeyjmjp1URG9WZEvEtIw42G7JW41CWGSMO11saYe2SLGNgziLENTVS4XC9ZxLDi4pmIfBOiuwe51xvJyxeGjCXrHomoLUr7NCD9foHdNVPjaW0pRKFYp5Vp4+Z1nQ3Zv15iGgWOanI5GbJOEu/Ua2zA46dqcnE7ZPoSggGppMg8IE3EJaGmfXdfFMU2+ur3F0HXuNxvG6w6q+bUe48XREW/nc75zesrnV1eyO9Y0NEuHRrqVj4Xl+eGhQGRtjsT5XUwZ5jhHHYooR1FVrIFDXdQYfdkYFduU8PPlfkgeZRlhK0BUW3dfXVWZ9ft0XJc0zVHfbrDGLsGzIbtlhNEWl4vZjHkYUnxV409zNFvHfdSjqWreXd4TpSlpUcisy3XQuxZGz+Lt373jB+38yjVNXMsSkohnYQ4d0nlM/HaNqqsM2gCq+81GYgJmM3GVdg0R2u0EfgKwD3zyeUxn42C1Dr/HwyEDz8May+/6mzv+sR9wfzz+LPB/KIryy8BeaNI0zb/9kx74O6Gz+NPA31AU5c8Bvw785fb2vwz89XaAvUQYUDRN85uKovxN4FOgBP7kT2JCAdR5TXK55c39vTCN0pTvnp7uzcyeTKdihz3xZJcVWNCI8ts/6WIPHYowZ/5/fsDs22TzmMXdmocwJHAcvrq52Rvw2YZB2dprTx+NZXep63z2+gMXsxnmoLUVaBrsiYfmGISvlug3O4y1xunxBGvmky8T9N1uz6sHQFEY/9OnlElBsUx48k8/Jb3dYQQm6X3E+tP53mXz4uCAP/zyJQqQFgWaY6BZorT9/W2EqmOa/L137/iZ01MGmsbT00M03yC625E+RPjnfayRR75KqNISRVWoy5rdhw35IuH4F8/RHJ1sHnFQCcvpy9tbHNNk8p0ZiqpgXotq3ezZeE/6nOY1t4uVKGc9YREVZbk/T65p8od+7juEix2OaeIcBTjHAf5Zn3KXU0a57Li3km2RFgVpnvPd01PKqpL5QdOgKAq/8uWXPDs8ZNzp8PzwkMFxn6aoKaMCmoYqq0hvdxz9wilqS6Ec/OyMfJsRfViQLxP+3m98xS5NeTqb8QefP5fYW9fFHYmldbaISa9DmqbBtSw+u7zE0DRORiOm3S7WxMV/1KebyLyr2GYCBSFWJyejEb/5/j1n4zHnR1MCx6FpGm7Xa8n0WCUc/uEzRpuM7adzft+LJ8znUogUReGzqyuO0yGd747RPJNO1+Pg9x5J4Xi3xDIMnh8e8ulX73h6cMDicsXkyRj1VEPPDPzjDlbfpkpLzJ5D9/dM6FRCbEBVCN+t+ermhtf395yMRl9viE5P8W0b6qa9xkr8gcfPOue8vr7l8eGM8585QbM1ylg2F/kyIdvlPHpySBnlvL26w7da2HfosPlCBIO/79GjPXTot4X0QO3jdgTq0rsWxTKlbHM8fub0dK93cfMOVVLQ/e4Y3TfgS+g/HuAc+Jhdi3NXR9EEJv7s6optEHBYDTB635zdh1zev/1ioSjKCSIVmCEtyV9qmuYvKIoyAP4b4Bx4C/zxpmlWLdnnLwD/ItIZ/ImmaX6tfa5/HfgP2qf+c03T/NUf89J/EfjbwG/wU7ZC/78Ui6Zp/g7wd9q/v0bYTH//fVLgX/0Rj/9PEUbVb/816wZqGHc6HLa7toHv88nJCZ9fXeFaYnE8ijp4loXr2thTgUhQFfJ1SrFJia5D0psdiqrgWha9uuYHl5d8cnIi0aLTDtorSRnrzrqYA4eZOiG82nIxm3G9WjH5QY3dtbEmHp2nA4zAxDvtYgQm1sbF6jsU24xqV6C29tuKolAmBeo2I7nZ4R6JHYYRmCh6gNWTYuZOPWbthfDVzQ0vjo4YHQ3oeAZmzyK9jVjtdhwcjdBcHeXNAz9zesqnl5cc9PucVBUHnTH9F2PpHnQV76iD1bMxfBPdcTD8Cv+kS3YfobsGeavQ/ciauZjNuFou6S1HWCOH4OmAKhUaZvxhSxRJPOik28Xo2+ieQW/SYXErEE9aFDKYvRijOTpm/2vlc7HLiN6sSG8j0qLg2cEBYZryxfW12Fu02QnFOv3aOE7TeHZ4yN1mIwyYp31cR8fsyvnTXLGdcA+FkVZlJWWcozsGzlGAci0Ua9MwcHoOTzngbrPhrGOjuzrFNiNZSZewjmMeT6f85ocPfHh4wLMs6i+XWGMPeyzdTr5M9pDVs4MDEYddqni2TZ1V+4wJ0zC4XCzoxDGPJx5m16LzyZjk/Uaoq4qCqWk8OzjgIQyp4gJ77IpuoKjJFynz7ZZnBwe8adXZHx4eeHQwJbmS4qZZGppjYAQW0YcN0fsN2X2MZmmsFuE+V8VviQJ5Wf5QhzXfbtE1Dee0i9GxMfsZ84c5jw9n3DwsOagbOt8ZEbQzIEWB3suRwJavV/uUv2DoUGyEJTeZ9bm6nO91Oq5l0R92UDQF3TfI7iKy+5jtLhaa7mxGUhRo7UDcfWMxMlU016CMC8YXY9KbCNXSCR730T2T1fdu98aMk24X2xUfrG/u+KkH3CXwp5qm+TVFUQLgVxVF+VvAnwD+l6Zp/ryiKH8G+DPIBvtfQFCVC+AXEAbpL7TF5T8Efh7Bwn5VUZT/vmma1Y963aZp/r2f/vN9ixXcZsfCPetgF74I2FY2VVwQ5/k+2D6wbbyxL51FV+YWhm9S7nJ2b1dkdzG7JCHKMtnNtjtaTVUxNY3JyQhFa51BVZVilaJ3TZyjDnog1NFxVaGrKu5JB2cWyBA1EMXrR2gqW8Rk85i7xYoPiwXPj454dXvLg+syCH0m6y7dFyPsmY/RsbEnPvH1lmKVsPwgTKNVFPG8XSA7joM/sFF0jTLMBW4JTDZfCY34y5ubfeiOa5qUu0Kss2c+mqWTrRKKMCPfpBidDGfsky1jrJFoH+qyxj3t4Kf53vTv8eGM7VdL/LxL52KIf9YjWyZ45z2MjoXzzmSbJARpSaVAvk737rCeLT5ZdVmLfkDLSO92BE8GGL6F91hmEk6YU2clqzfCo391e8txMeSoZ8mgWtP45PiYL29ueHF8vHfr5RW4j3o4s4Cmaug8H5LeR6iGhn/WI32IiF5LQdqlKaejEV/c3JAWBX1bw+7anAUW60UIgPd0IarysgAAIABJREFUgGkJ0+bpbLZ3MT2fTLhZrRiUJf1NKrqVDxuSD6KtOB4M6B52aapm/x0XoxEnXQtz7LJbRpi6znQ6kNlMXFCsU+JtytVqxfOjIwmhOjri7FgKgO6ZaLZO9G7BJox4dDBlvtpwcXCACvtF/Phkgu4aJDchZVLgn/XZvVoR30eEcUyU58RZRtb+xpM855OTE8Ikoeu6nE8mexjM9EwxMAzM/eKcXIYCnQ0dmloKsGbrBE+HVHlJ+MWCcLHD0DS8sY/Rsyh3OeNxjzqt9iSBtCg4HA9xz7qouuSqeGc9jK6FvfTobwU5Wb2/22eJD84HmF2ht3eej0CBKi2xpx55mJHdRyzu1lKsDw9ZR9FeJ/NNHT+tzqJpmhvgpv17qCjKDxCW578M/JH2bn8V2WT/6fb2v9Y0TQP8X4qi9BRFOWjv+7eaplkCtAXnnwf+6x/x0v9ryxz9H/hhGGr5k97zt7ZYOFMf1dQo44LwywXhOuJ+I86yz4+OuF2v2VkW06bBjUVVrRoa2oEui8h5H6vv0PxGTbcQkdZiE6IpCp9fX4tdSFpS55VcxDc35KMRB5pC3Xr7Kz2LvqWjGirFJhOrgYFDvk2JLjdkD7Ewo+5jlncbFmHI88ND2QG2w1vbNFEdnaZqCB7JLimdR6IHuAxJWlbKpNvF96R9fwhDtEud4KWFe97F7Nmsv3fHJo758uaGl8fHAHxxfc3L42MewpAzptQnHbJVQrZOiN9tUEyVztMhumNgjzzKuKCMc6J3a5KrkCTL0DWZbRgDGxNwDnwUXUVRQNEUVFNF0VXyqqIbiKV6eh/xEIYi7ssyXt3dCfxkmgzXAZ5lYc088k2Kf9YT3F9TMXo2+SJmkvQJF7uvRVxljWLI3402wTDNczTf4HA0IV+lNEVFU9UoCjgHAVVaorsiHDSCrwuS9npNEsnn0hQFRVcJXgyp068XAkUBVDg8m5Auk/3OW1NVnh4ciNmgLvBTvkjYJgknp1NQwDnqUIYZ5o2+32SgKhgdi2AiZIQkTBmYGsV1yMObBzlXsxllVaGqqnw2WxeeoMKe5TR5IoLRw0cTioVQVs2xw7EzYX6zxFvFuH2BCMthjv9EzBX1e41u0T53UZAVBV/e3GC2LsG9ieiArpdL5m3c6jjsoNkawbPhnnJrLh2Wlyu8eYw1ETuS4MmA7E1MUzf0T/vkr+eoloZm6gQXA8qoYPflcs/k8m2bLM1RL7dUUUHnOyPsaSCiSU1FMVWym4jAcfbnr04rqrQk36RYQ1cYfQcBhi/d0+6rlQRkzWZ4XYfO0KfaFfvz9k0dTf1DqM5IUZT/+7f8+y+1jM1/4FAU5Rz4fcAvA9O2kNA0zY2iKJP2bntpQXt8lBD8qNt/1PFR4/Znf+tb53eSOvs7fTRNIxTY9xuavMZzbYZ1vU8zu5jNsD0L+yiQjqJlQxmeiaLJAqfZOk3dUOey0JhLm+Wl7Ib7nieeOGXNsKzRDw/56vaWtCiYxl2GloZ30kV3TRQF7KkvXYVvEl2H5IuE/F5sxT8KoJ4eHOD0HDYP4b5d7vR9acVXCYqqoBoq+TYlvYvIi5LDRxPm78WRVfcMrLGLdilfq6KA/6hPfLVlt425XCx40e5OXx4d8UnLnHlxdMSHq3uMjonyVKHYZCRXIZ1PRiR3O1AU7KFDcNYjXcSy0+tYGB+2RJf3KIZ0SMvv31Ml5Z4eXIQZ0es18X1EkkmUp5dXmD2bvu/TedKn+nLxNfzQcbCmLrpriitp3wFFoQgzwi8XaK5Ber0jjTLezOcy3FRVzL7AOZMnY37z11/tFx1FUTAHNvZBS48OLLyjLrv3K5yDAHvkUewyVENDdwxUQ9hI2a/doCmK6D40YZhZI0/Ea+tMFvYXI6LXsgi9+62GfE/6mJfG/rtSTE0IFEcBRsckm8dkdxGv7+54dnjIarcjfoiwRi6qrWHpOp1j+d0YPZv+QY84z/HHPtu77b4Tq7OS3ssZhi9daufFiDqTwKLo9Yqb1Yqiqji3NKyJizHX6T7qY409dN9E0RTssYdqaFgjl7qoqaKc3ZdzbtdrnrcW8ps4ptzme3h01uvRcV0s16TYZFhjb6+naGowb3X8C8ntdg87Mnj2hIWVtAy0bB6LGPTJgDqvSNYJ99stL46O+PLmhq7nMQi9VrMRobkG4WcLNM9g9VY2wB/P3+s7mYEkixjvULRL/nEX1VBJF1KkrImLeqtKAmHHEXbVqTANv8EFh6b6IUb/Q9M0P/+THqYoig/8t8C/0zTNVvnRBez/lbTg67fZPPpJ7+lHHd/aYlGEOdki4faVhKUkeU5WFHv44tnhIY4mF7Thm6iGRpUU5KGKqqvs3q0o1imaY6BoCnXeyMC33UVmZUlT1NgHPjRgXOX7Bd7veaTXO1RNlUCYoYvhmxI1qakYgYl/3sfsO9jbjO33EkZBgH/UETHgnSiy39zfc6FpRPM1h5q6Z29ki0R2am2gzjAp+f4Xb7nQDvcOrkq7Wy22meRKrFb7uNCPO7K+bfPy+Fg6jKMjsocEzdvRFBVRluFsMsq4oC5qMYrzTfJtRpXIbYou+pIqEUGb5Ysth9GR/9ZVjf9Eokntmx0ARsdC0VW8mS9w30f1s6Kg2Tq6Y2AEkt2huQblLie9j6jikvUHsTeJs4ynsxnbOObw0URmHIGY0026XdZRxOVySVnXIuzq21SZFK/4dot/0qMua+LbkOQuRDN1ovcbzL5Neh/xbj7nyWzG3WZD/VZwft01Cc76FMOc3bs1xSqhTit8y9rrIEzLQFFVgpdDcS0ua4JnA8LPFhgdkyqtiNuMjIuDA/zA2Q+tFRU0WxhQVVrKHGWXE96HHJ1NUA0Rl14cHPD67o6Tcoh56e7hU3vkohoauw/iRmAbBkezEdd3C44tjfHFmPCdkBSMni1JiC9Eh1FXNWWYsbsM2aUpzw4O0FyD9aXE3xpDm05VcTYe8+r2dk9r7SwdziYehmcSXwoVvP9iTL5KCJ4N9x5fmqUT34REb9cSVtS1qAuxgy+2GesokjlEC0U1TUNZ16zmWwYHPWhA8wzuX82xW/bYs4MDtNYm/X67ZdaXUChVU6nykjIpSW52xG/WrEKZq2m2zny+JghTgpMu1ugbTsqrfjrqrKIoBlIo/qumaf679uY7RVEO2q7iAPFwgh8tIbjka9jq4+1/5x/yWn+4aZpf+jHvpQOcNk3z/R91n29tsfi4s5s9mbC7DsXeehPSDTyeqbIjuVAPqHOhoRZbMVzsPB2iGhrFOhX1ciZFIStKmqbZ72iiNKXYZjhHAflCQmI+7nQu1AO2cUw/KfBmPvkqxTvpUkQZ3lH3h6Gk6x0Hj8Y0ZYM1cmiqhtHJgPg+QlfV/cJldGTg+1EPYQ0cSTO7DimjgqcHB1wvl0yqim5VEzwbojkG6XxDehny9GCGMZDO6MXR0f5zDDyPl223cVpVHAUm1a4gzjLuX81xLQuqhqao8M56Mmy+i0gisVA5Pp3sL3yja+Gf9/ZGhx+LDIqCYqhUu4KmAbul42bziP6dy8N2y+16jR1FjJcdjL6NPRHoTzNF7a45BubIwX5t8OruDkvXOXw0ETihEQgRRSFrh+VnoxGbOGb+boF7a2F3RWvhTH2sniNzma1AeXpgklyFpLc7qMXZ1Rw5nHVsVouQ+MNWhq2uuPEm7zfc34tj66u7O563XeVJOeJAV7GmHm5LEkgfYuzDACOwqfMYa+wyyISqq3sm7mkXRZVkx3Inflv2zKfYZWR3EcPnY1Dkt3zAmOhW4LdVFKF/cY/vSOek6ipmzxGDvJGLtYrQfANtLpsMo+9g3EX4F5IlYXTk9XbvN2TziGKdEacZx6cTjIFN/iDw2i5JqHYF/lGHXp5zt17jWRbnB5Kk+LFjcw4Cef9ToaWWu5y6qImvtzRVQ/J+Q+eTMeUuxxq66E5ridKxOHw0oQxzYfC1LgRVVTE6HWBPPZKrkN3lds+8u5jNcPuuzNQ0jeOTCdEqRnu7ps6/tjWxWpv74vNKLHwOfdwwoXcxFLr0N2n30bSkmt/u+iQtxF8GftA0zX/xW/7XRwnBn+cflBb8W4qi/A1kwL1pC8r/DPxniqL02/v9c/wwxPTx+FcURfnPgf8J+FVgjujfniJGgmfAn/px7/lbWyzEtCzBe9TbU+TMpU2xEZ7+xcEBb+7u+M7FOel1SDaP6XwyomkQSw5TAwVWK5kLfBxuXxwc4HUdelYXc2CjGCrrXYRv23T6HheqPO/TgwMs16QpG7HzcA2KbYoR2ILvdmyyh5jOiyFoCqqu0VQ1yVVIsRC//qdtdsSHhwf0L+Q9JbcqRZiLuO92x/Zyw9ViwfMXZ9i7HcEkwJ6JPqHc5bIQVBW9Z0NUS6ef13u8X1Ol88nDkOet2jV+iLhaLnl8OMOaeXuvIqMj7CjvkWD75l1E9nqO5gr92OjaoCn7wWaxzYjersjuY9EYZBm9QYCiyHeTLRKKTbZ/H6ejkTClAhPnwN+/XrZICL9aors6dVHzdj7nyXTKOoqYzjzcl939MFizNFFGt53K6fFEuPyBKQtmR8KjiignutqQ3kZiTHi53Q91s7LEM01mMw/7rEtd1m3AlIaqqaRhxHoRil3F7S3PDw8B8cR6dXdHWVUcpiX2zBMfr6EUxmInViqrd4L7Z2XJhaahmvIdaLYumwHHgKYR9frIxTvroRoa+SYR/6q7aG+QGJx1QVNEDxRYVFkJTUNyFTJ8PqZOSpnh6Cqare1ZYGbfwRn7FKHMhMy+FA53JxTlYpNJ19RCeUbfpoqKvf38uNMBFeyZv4ds67ImuBiSb1KCR32qFnJtmobkOiR4McLs2pRxvhcDJjehEEGSkl2Y7Dv+KE05OZ1SFzW6L12I6Ri8vboTKvrIQfdMNg+hOOcmJf1nI/Fw69oomkL8bkt6HZKsEqI0xe5KFo3r2uiB6De+SbuPhuan7Sz+EPCvAb+hKMr32tv+faRI/E1FUf5N4D1fM0T/R4Q2+xVCnf03QAbTiqL8J8Dfbe/3H//DhtVN0/y7bUH5Y+1zfrQo/wHwF39c1/Hx+NYWi+C8jz3yiD5sKMOcYp2S7XK8A59PTp9RRjkvTUMGl56B/7SP1lLpNFPDnviiU/AMimXKu2vBpVHgzftbJt0uw4GN2bE5+8VHhF8s8Z4OMJYJL1sr58ezKZorO0VFAe9YLLcVFPyzPvbIFbbGIhax3heCNY86Hb77c0+xxi7Ruw3O1sQ+9DEHbnvfHddv7qnqmqquuXhyTPc7Y9yzLtHrFeFnC6rzkuDxgP7Pzuh+UrH81RseblcsdjtORyNGQYDXd3FPOpx3LB6+nO/DgYqqospL4vcbvPMe6c0O+zCg83RA9hCT3uywph79oQjIFr9+Q3DSpfvJGCOwMNuL0DvryeKzzZi+nOKf97GHLvFNCE1Dsc2F/fX4GM0zyOcJTssaa6qazecPZPMY1dRIbyIuP9zz8vc+ZvV2yeF3ZZE2OhbZMmH7/TkP25CO4/D7v3tBvE749Kv3PJnNCOOY2ZMJqqnT+DXJ3Y7gvE/n8YBslZJvU8owI7nacfX2jsd/9ELEeYHJ+J86w+yIs+nmsznRWzGPPBuN+O7JCd7TPvkq4er13d7JdhPH+MsUq++SLRPCV0vSmx27dUT3sMv4OzOSD1veXN4yznN6rbmfNfKwjzK80x7ecQfnQKC6IhT7chQFa+zywjjm9fUtz7o27llHYCxNpckqyqhg+s88okoLLv/2a6aPxwQXA9zDDu5hR4rjmxVVUqJZGnFbNNP7CGvsksxjirLki5sbnkyn9MYdmWWpYq3e8zze3N/zVJtx979/ycmzA2gadM/E7Fh0ng4xPIsqK2Rw71t0/+iIfJ2Ko3DHIny9JH63IVpKXswyDHk0nfL7P7mAukHfSs6Idy6GgstfvhLBnWHs5wzOYcDUNVh/OkdzdeLXa+pDmU2ppia5NAcB8U2IexexuF5hdCx6Pzdt35+EmX1jR8PfP7P48XeXxflHDSj+2X/I/RvgT/6I5/orwF/5bbzmCvgv2z8/9fGtLRbOoI/u7ARrD0yKMMeJcoyORXoXSQG4F5hlamo4RwFmx8bq2TKYfbcmvYtY3m9IC0lgsw99yQRYanh9FxTZScuAcSiw0IctV6sVj2dTPjwsOLOn++G55ugYgYXmGJSxQAD5JqVKS+J3Wx7CkJPTKcbQxh57YuCnS/SlvHZGvkxZtOrj1dWa7ijg5upBqLkHAaqpkt5GchIU0F2DdFGgByb9JGAVRVi2yWlvynaxE/uK1j7rfrPh/GDK0+mUt3Phzj98OWd0MW531xJyb888rJFLsU6xpx6arbH7coVqadgT8QAqwoz4ckNyvSN4OSK9DjF+xqJoZxBllLNabMX0T1MxOhbW2MNrVfMf2WLZXUSUinX78ckEc+Ti3segKASP+xiBRRnnaJ6BFiptdrfDdrHjyWwmMN50yvZK4BDVEqGY7sgQOnq/JpvH5IuEJMvRNE3otS9HFGEuv4m+Q1PVaK4hnZauY/gmbksLzlcJg0DOraqqjE+HwgjTFJqqpqnFnr4zDnCPO2LQeB2KRUjPk925JrOzj/TtKin2hSy53OIcd6jLimpX8P5Ovpvl/YYyLnCOAvHt6tmYbSdVpcVe2FkmBU1V484CoqJGnQXYY4/kNkRzJeu8aRqu39zTdV1e39+LHqTrUucVmmui6BqDgx5X7+55Opvx9v6eJzMxIizCnHy9wTvpCjQUiG+WPfYIzvtCWOjYaIZFPF/L0Ns3sbY5Rydj1p+J35ruy8bKCj2BLNudeuc7Ixl0q9Jd+08HmB0RYroTEUoGL+X6U3XpvMNXC3THILnc8nC74uDZjN3ltrU5sfDPehjeN5xnUf+usPv4Rz6+tcWiSCN279fCZirlS1RUhexBRFIfbuacH8lCvrsNUV+vKXc5qqEJa+a0h2rpaI7O3Zs53oGPcxSQziOOmwm31wvGuwLN1vAfid9OGRcYXQt9o6IHJmf2lJvbBYqmELwYUt4Uomo+6ULdkG9S0tsdTdOwXu84OBdxlnveRdFUkqudpJuNegKBLCJWb5dMnowxejb+UhbrI0MTR1tDwx66MEW8o3xTrBLeb7h/Jal5jw+ljTcHDtWuQPdNVENl9HyMf+1wc7/k+HTCY2PGh/sHzg4nJFehDFI9E/9RnyLM0SwNo2djjzyZWZga/uOvL+JsGVPuCjovRwJLbSRCtYwL6rwivd4xeTymigpurh44NCe4x5294Z0RWPiP+1hDgbzSN3NUW5MFtW+16lyJqdUdWXwGA9llGz2b0cWY9HrHk9mU93P5HIqmkNyEWAMZbBqBiXvcpcoqKYCLhPzVXJhCIw974stQP8yoMmFxZfMYXVUpdrn8trKSKhYr8Y/F6aga4J310B2DxtLxjrtUUSGQaGATX225un7g9GjCYr5m1plQxjmlawiEkwkle/duLTDiMhXPrk3G1e0D50dTojBhcjEhvQzbvHQdw5fZgeFbQg3WRKhmdh3Z+ZY1/qkM96usZPd2TXYf7aGaoe/z1Z1APZeLBY8dC/9pXwriMqbcZBydiSfUx89q/EBDtaTAqrpGnZXYB/7eHsY77qKqJnm8I11E1GUts5qzLqqtk16FXxf1FtJyjgK0Q30fP5zcQP6Q7CE1ANXQ9iaJqqWhB+YejsuWMXVWsX2zIcoyZk8m2FNvP5v66Nig2d/g8tdA/VN0Fr8bj29tsajLSmwq3qzEMmInduMfeeQnRxNubhc8efSIfk8Ee+6JqKppIA9T8kWMarWRlobWMoxs6qSUBaOqSO8inFlAchMSv92wCnccn06o4hLnJODI0lANlXKbkd5GNGW9p4XaIxdFV7j+pXeMH49QNBXdlRmBoigourLvKvJNxu7ViuHzMWbPFs3GxMWe+pRxweLNgu5OFnH/XIJnim1GU9eYQ5fBpEv8IUN3DayRgx5YuI+6VGmJe9hHcw0pHgu5+O2OxUFRCZvmZEL8boMzC3DGHlbfaXeOYhanGrLjq9ICferTIAuH7hv7hVn3THTPJFsJ9t75RASNWdOgqyrhbSgGhorSzosUVF3dY+K6qrK6XOM96hE8G1IlonsowpykZVqtVgJDNUUleSEqLD6fc3Y44fL2AXcpUEb/tE9T1ahWH7NjiRbgQYa8mqrKguIaeEdd6rISR9Y3K1RDhabh+HQigsqW1aMo7Au9qig4jjChknmEPRR7dWvkYg0kKKrcyutors7siaj9m6pBM6Vj8U965JtE5gldi+3nC+Zf3pPkuXRXAwe9Y+KedDB7Ftk8JrF1dM/YP/ZjAS/DXK6BqXR8H11mmwbRAulSUIw7jde37Uxg4PDYMrh5WHLezgeMjo37qIc1cojfb7l7dc+T6ZSrpdiLWLpO9lmOaRkUmwy9YxFWK8yeQ2WURFdbsoVAisl1KN3nKuX2fsnxkxlPNJV393MOilI2bB0TFIGE67zCPg7Qv0pJb3aiuzE16UYPPKhprxf5rRiBmDeqlkb6xYN8vq6N2RMCSXbXZqV/g95Q/wgzi991x7e2WBiujXsQoKhim1ElYj/hpUJJvHsz5+hsQrFOsaY+7lGA2bGwBi7Rhw1UDcHFkIdf+sD4YkL8foPuGVRJyeLdktmTCUbX2nvgfOxC9FhD71i45z2U9kd9870r7FuT/ssR7klPFvJdTtTSDYfPx2InctKVguTLomr2bfTbnSzEkXQ9umdg9hw0R8c56WB2bYKLIet3KzRHLLfrrATPFDjtw5b0KuRuvuL4ZMLqfoPetdADWSSrVGivTVWzvFzh2zIAtEaOQE4Lm9urBQfnY5LbEEVT9udJ0TXSeSRdjamiu6ImVnQVpy1iumuAIrt46oa6kGyHIspJbyMe3i6YPhpTbnOMnoV31BFB2yoh/HKJoqv7bkrVRdzoHndxZ4Gcp3VKXVakNztGB33StezCFUWhTkqGz2UR1zWN8fFQXuO428I9AkOYiN+TPfOINsLNz5ZJyy6qiN6tyB5iilVKnOd0hj7+s55sHIqK4PmQ8MslH+4feHw44365hs8kf1wzNayhi3MQyHBdydADE10VivZHtX96HZLeR7LQdQRLV1RZAN3jAEVTuHk7F3qxZ+CedLAGLk3Pwew5lKmIzOqypghzog8bghfDfZGu0tanapcRvl1BA8nNjvQy3KfdPT6cyfdu6axvN5ycTtlcbloL+w7B4z7ZWiJRp08mFJuME3uMHphojvz+VdtAd3T01k7D8E3SRUy2iqXb3OSUYU6W5nvb949mjpqmSZ790iH5sMU+CtBMHXvii85GVfEe96hagWRd1lRRQXwXoTm6UHafDDF7NvbYZftFIjYlmooz8WgaWj+winybfvNsqN8lnYWiKL+IeE/91vCjv/aTHvetLRaqaqI7ecvBl4FWcr+j3OUsP6xkse873H7virGl7znhxS7DHktaXnwbEnwimdC6Z5BchVgTT9S9nimsksOWJ6+AOXHR17FYQgcm9khUyPpvaHSe9Ck2Gakd7XUERmBSbAUHt8c+1sCB1goj32RErzf0XwrLQxkJpz56u0G1dVwvIDjvU2WStaGpqlw47zdUWSkdkWfiHnfQPYPFQorduCfQhdGRRck/7bH7sCZ6s957FFVxgWYFmD2b9FYsKBaXK46mPrvXS7yzPk3V7LUEzmFAGeUCP60T/MMRuiusF9019jMJ3TNxJj7J3Y5ilbJ5u8LQdfTAwjnqUOcVZt8hfYhIrrdorsHqsznDizFmX4Jt4vfbNnbVAlXZi3A7n4xI7yOcsdvi9hbBxZAqK6l2QslUdZWmbASiay1Xdu/FzVTRhZ6qaxrBxQCzZWPVRYV31m9txmPyzx8IXgwxOzZVVlJshEKtKAqaoqA5OkePp614zxbnYFNsRYptRpWV6IG5V243dYN73MHoWfL86wSzZxPfhGRzsTXXHIP19YaD8zHz9wsmhopiaML80VW8k67QUD2TMs5FjFbWpJsU91hmGbrtS2e3lMyS+HIr38dJgLbQiS4z8qzACyTL3DUlk8Qcu8QftuiBhXEQSDjVixFVUpDe7KTwdSzsNqAKEGhTVzE8E023MPwS/6SH2RXL8GKTUn/6QOe8j9mzSK523NwsODuW0Kzb6wWHjyZQNzS16HkUQzQVqqnhnnSlQ+/aBM+GmAOH6M2azssR9cf44jYOtv9iTPTVCvcoEFgxsDBcg/hW228WvpGj+el1Fr8Th6Iofx14AnwP+Oh30iCmhj/2+NYWiyLZsXu/JltJS66oCsl1yPZyQ/+ghzX1ZdCmaaS3O6qkEDWqPsDqO2RL8WsKHvcp05JimxE8G1JsMwbPx+y+WtKUNcHTAfFNSNNA9HqN69qiBDY0NFtHjWQB0lqGhixClsAghiYCuLcbmhp0zxDorMWSg09GVHEh+cVhRnoXETwbygzBM/dttWoITOOcdnFmPmbHQrN0klVI/GFDU9b74igce4vsPhJYwjVQdemMjK4l7K2JLKaKJsNsYxPTO+sT/uABvWtRl42k0lmSlxBdbmVo+xCLd1SdY/itIt63qFLxIirClHydCmT3ZkP/2YjdV0uKjcxevJOuLO5JgaJr7D59oP98JEl3PZsiFIuK7EHibtUWcgieDAV6yeS3X1c1iia78uTtjvg++nqhfTJm93aFf95HNVSqpCC6iyjWKWWY03s+Il9JV/Fx5lBlFdlKWGD9ZyPR5hga8eWG6O2GeJeya+meq/sN44sJwScB+UNMpNB2hCbJ/Y7kOiS7j5k8GbN6u2TYwpRm18HsOtSZDGntkYuqqTQNbD8VkoHuGUwMjcWbBf28Ek2BruwXQRQwPBOv7VDj60rMGDcpVrfX5sA3mF2bbJGw+mxOXpYUbT6EOxJXAkVVZPYWmFhj2dSktzuMjtV6acXUZY05crh6fSczs2WCPfNlZjH1qcsKdxYTfb2UAAAgAElEQVSgaJIMWSYFxTZtKdMpne+M95Tn+w8PTId9EbgqCpO84uGDdJPRhy3eaRcAQ5dzpWoqznEHwzWlkKhCNInfb2XIbQzkd/FMNguqoZLchCiqdFbBoz7+aQ/DDn7k+vHTH/+Agvsf1+PngU9adtVPdXxri0VdiSgsnUdU7byijAoGz4XPbw9cmgZ0TcM772KNPVnIA5OmbmTHdxSg6CrpfYR73MGZ+NQjl/h2JyKw9nyXu4z43ZbOJ2Lz7H9k6exy4ith/OTLVEzfpgJN7N6HZMsE/+mgVesWe5W0PfUoNqkMYA/FfHDz2bxVxQqNM99kWIMc3TOxJ35boGT4J7bYKelDjGqorL5a0jQN/cBC0RS8485euPSRLWa3rBLvxBfICPbW4JYuXYr+xMQaOqJX6FgYrqi0m1KEjcGjPtkyxuxY2N0xzrTCsHrYrkOyuya528mO+U4KoYjuJJejLkQ4la+Efx+/20qxTIr9565a4zfb0vGOOiJufIhlR9d2Oun1jvQ22hfkpqzpvRyRL5L9Aq21mdPecQf3SIbq5sCRYuiblGFG+hCJTqCqiW+2ZPcxwQspbu5RIFYeuob/pE/96YP4Nbk64ydj4vcbOs9HEhylKHv1vtkK79KbHfbEY2hpbL5aUixT7MOA4HEfd+Zj+Ba792viq5B8HtNtF9Zim5He7BhfjFm/WVEnpeh3NlmrrdFwRjJT0gyNbBHjtMwnw/GJH5ZEV1tho20zOqc9FF2ljHKu39yjaIrM2mY+7llXrFumAfkyJrgYoChtPOrtjuT9hu0q4vBsIov9ozHrT+cYrSWKHphUcYk9dDG9Lu6BdD5N0+DMpMvJ1wnFOmX2RDoK5yAAVWYJ5sph9XZJZ9qh950J3lkXs2dJ+qKpo1oaqq7t52feSZcwW+5tdT6y3ZL7Hel9RFM1VGlF8LQNPVLAsmbf3ILzU4ryfgeP7yO26Dc/7QO/tcXCcG3cQ8F6y7ig2OWEnz1QVzVm9+s8Zt3QiN9JS94EFgpycTuzAMM1SOZiy+2f9jACi/h6i6rJD9oaiY0HioJqyVDOHrsCNbTmf1rrOWQfihmabhti2tRSP8uokAUzkAVYNcRkTeALsdVWWyXzR28pPZAhaF1U1HlJvknovBwSvZJhvqqrMsh7iMluI/ovRzQ1RG+EHWY8HRA86gt7q8WUy12Gomti/qdrZKuE5HZH/H5L5+UIo2Ox+rVbwaZtnSqXUCJFEzhFszTcmVA4i7jA7tZ4vUcUxYJktyJbxeTblGweEbyQ5yt2mTCc+jbBWR/DM1n9vVtZ7HsWZt+Gvi3wHFCnkvjmHgTonkUZZaT3O+IPW1RLY/1uhT/296FRiqpgTz2cqU8xdCXGVtOwp/5+4bMHLnVWEb5eyuzJUCWPvKVh1k0jFh5PxcdIc/S9Atk76RK+WuIcBYSvUunEph56x6LcZfIb8k2MwCa5C4mvttIdPh9iDYWWqqsq9mGAMxPmlWbJec03GU1REbwYYvhyrpJL8evSHIN+uzkwBw66bUhM771Y6fvTKU25kuK7TdFdg6YjKvuPny+5DfdBSOGXCw7PxGNsamp7koSi0Nq3CINP1VSS+0h28nHJ6ELsQmZPJjy8XTC+mGAN5drS3faPZ0FLeDA6FsGjAXVRkd7LrGvzeonlmnRejvbstqaq5dxoWhscpmD1HPJlQvB8KH5vdYNm6Vg9G2fqE76Vz9tUNaqmUkQ58fWW9HYnIU1fLXFPhC1ljzxUXaMo1t/YetPwuwOGAkbAp4qi/Ao/7Dr7L/2kB35ri0XT1BJoc7ml2KTQwPAXjsSNVlcJ366FMvqHTtBMjfDVkmKbkQ1i7JEnlhr2GEW7xT/pka1iwrcrwq+WuMcdrLHb5i5Iu94dTUSp+mSAf9LD6rvkYSrDwa5g903VUMQ5Vj+gezGSBeQ6pKkbgsd9zK4jGLqlMfz5I8I3ol3wT3sS/eqbOGNRzbrjPqY5Jtq8I3g0IPqwkWL0W+YE1sjFO+sSvVkTPBPuf/4Qk9xH+GcG/kkXzbJBUSijnLqs2zlERfoQUSUloz94TFPV2BN53fDzhdheFDGqruIfDQnOpVhUWUn38Am63qUoHsiya9JFKM6/b1bQNIx/8ZQ6r2SRPfDp/9wBast4KkIJCep8Zyy8fEsTWuvQo85LjK7dFkyLbJOye7sivd2Rr1Lc0w6ubzP8A0fYQ/le6hbqS+52hJ8vcI4DnMBm++lcnGSrBsMzWydgV2i0aUFdNXiHQkE1zD6GbxHf7djdL+l+d4pm6fLdtFqK3eWW6cspiqqy/vW7ds4lEIu428qQ2Rp59L87RVEVVj+4F1tv30R3dDa/eU9dDHFnAVZfbEn8sx40DeHrFfbEY/JHzskWMeEXC9yTDuGXSxleqwqD706F3FDWqKqD6ZWYfTF/tDpdDGOA0lNRnsp5VnWhYifXO+K7iOBxj7PTR+SblOWv3lAmogaf/MFTxj93Rh5F7N6uia+3Yhd/2hEI9mrL+gcPTJ5Pid/JMDzfpFh9RzY5ms3u+p70ISJbJlgDZ78JUTSFyT95DLUws3RP8iiqpCS9Dpn8gSN2r1ZQy5zJ7DvEN6EMvF8tSedSuNxZgDsLqJISdyZEgo8GoFVWobsm/Z+d0dQNm88fiK+3cn5Pv9EF53cLDPUf/aM+8FtbLFTVRDMFKgouhsSXWzEks8RJNjjvkS4E+5ZIRgt35pNvUhmQmh10vYflZyTrBfk2I7neEjwdSADQOqWMcpq6JjjvUxc15S4nuRMhoGppshD1HcFsdxn+owHOyEPTXKL7G7JlQvCo3yqaQTOsvbV6EWbCLtEFo3VnAcl9hO6a+NMZhtGjKFYi/KobovcbgWtalk+VldI9RGIf7UwlqyKxdfJFTNJ2CFa721R1DWvgYngC39hjj3IngUDWwBEq6HVI8HxIcrUleDoUGKupsLwB2plGcr/D9Daoqk26uyOZR1IAolzeSyJWIMldiO4Z6K6J09I3AZK7Hf7TAcnVFjMQM0JnamHYPpWRfC1UbCHAppIFofNiiB6IviO+3KBZGmZPwnWiq43AXs+H4iFlaQTPBnuoqi4qcUU971PlFbu3gqvXuVA4lc6O5CGSFMFHAxRV2e98Jeo1xT/t4kx96bBsnfjtGu+0i3fYkeG+HWDYNVorbPyYwR68GLJ7vUK1dZlF3bS/HVMjOOtRxDm7t+s210P8xJKbUPQtE1/EnO33Ht/tCM56OP0eut5BVQ3s4ZxsIx2P0RtRJDuiyy3ZSuJW05sdZVTQezEEVUUxVPKHZB+4FLwYUca5aF8AFAgeD8hWCcHFEFVXiV6t6b0cSaf8ckT8bkPnxRDVbGd2qlCGaVmJ4ZdLqqzc29xkdxGjf+JYhIhFtadOq5Yu0OaLIdH1Vgbb0y6aqZHMIzRbWGaarYvxYFwQPO6TbzJhC5qa2Ke4Bs5YnIyj6610wEcdNFND1/1vdM2pfxd0Fk3T/G+KokyBP9De9CtN09z/uMd8PNT/797W7+xRVxlVKpYXVk/S2USBrOGNZ+iuKXnTtnDbrb6opp1ZQJmWVFVK01Tk6UYu0tudsD5aCEJ3DdyjDnVRY/UEN/Uf9cUt1dLRLB1FFR63amvY02AP2yiKKtYNQwd3JvTXuqxpmhJ/cI5hyX11xxC82ezjTAP01jJdVW3pnNINu/drGb4/HZCvRfimuwbewVCetxDlsdV3cCYe1tAleDokX6USoLTLMVyBduqiEuilrCl2OcHjAflWqKjFLid4OsAeuUL1nO+E/bSJUVULy55JoTL6qGpLn21nKWZXxHv+SZcizETV68n8w+71MVyXMspJ5xF1XuE/HgiEMBcaq2EMUVUxnrOHLkqr5NVsHbWFhZyJhz31Rclt65RRTnIbUsUlwdMhzkQYbrproDsGwVMRUiZzUbubXTFm9M/7sliZkmuiqkZ7Tk2csYd/LDGf9tjDOeqgmkICsCc+Zkesw4PnQ4owI1sn1KXMWVRVFsxim4ndyNOBQJSmkCGcqU/n6UAo3lmJ5U328w63pSEnbSCUNXIlUOpAoM34UjLPo8sNRRpRVRG63sE/nGD1HJzOEYbRxXB8vOMOwXmf4PEA/+lAHHU7lmSl2MLMs4YOwScjkpuQ8O2KIsoxXBv/rIfuGgTnov9o6gbVFkFc8LiP7ht0XgxFR9HavZflag/BlWHevqaO0bXxDjs4xx2aRoLA0vuI3Zsl8eWW4PkQs2PhjH2asqGMCupSzDzLXY7/aEA6j6BpMMwOztTHmw2w+jaG46IbUsAN36RMS0yvizVw0FyDbJnI9amY39yC07KhPv75x/VQFOWPA7+C+EP9ceCXFUX5Y7+dx35rO4sqk4vOOxaGje6buAcBhmdR1wnZKpHbPbEiqGcyy7B6HqBiGH3KUhbjMsqFuz1yKaMCZ+IJ53yZEJz3MZwAe1KiapIF4Ux9DLNLWWz35nDlLsM/76ObPrrew59AXWcYRh9rEKPZBqCg611AwZ3m0ECVFDRBLSKt056YxaFQFCuyVbKHRIJHIsT7yEgynADDs3GmHmUsz2V2XOqiIny7JnjUJ11E0kl1xGQNBXSjQ6k84M58rIGLeicdUpUWaJZAC0bHksjQZSIakGqH615QBVFbLGwse8ru4QPOxJM5kdehLCKsvtPCMimGa6LrXeLNB9KFdFn5WuwisoUUxmKXUXobdL2PdyAeSUUsUbNllO+ZW6ohKmKzY6PZkqHgzCTkyBq5aIZGuohFxXu7k8WyVaM3ZY3hjAhOZQe9e7fCGjgSKWv0cacFdblAdxzqKmf3fk2+lNhdvSUDaC3Wb09lZrJ7u6bKSuyhh3qmoRkJyW1IuogpQum0dm9XBBdD0lthtzlTH903yRYxyqmGMxhQ5ZUY9RWVCCoHzv43u/n8geCpZEfE1yHB4z51UREt3+H0MhznHMPYousdsmxOXcvv4KN+I/6wwTntYgYyK0gfYoKLoQz/j0QN70wD6rxCUXS83imlvybb/j/cvXusrPma1/V57/e617pf9qX36T59BAUGZiKj8ZKMSExQiRr/UDQa/hATTIwRhIiKUdCEBGNiQiJhTAxCVJREA4wIkhkZmAGGYU537/tae6+91qq16v7e7/7xvLtOz2HO6T5Mn/HMvMlK9661quqtqrd+v+d5vrcN2UI8rzRHCiPZRASDa+qW9Fa6JP+ws4pRFYJHgldoriFFQM9G98yOOWigOQbOYY86XYrGZ+qJQWGnakcRLNKauJg9m7ZqhCSyb+CPHgAq6oGFrvdRFJ1CXWIOHdy9Aaoq2hXDk3Wg2OaYva8Qs/jVM4b6A8Bvft9NKIoyBf4v4H/+ojt+x81CUZT/E/h32ra9+IpO8lf0MFwXI0gxPBfVyLHHbpdHoaPrQ4xAVL/ekcxz9f0CXQ8oy7VoNLoW1T8bEF9tJJ95LxAfIlvH8D0B+rIKe3yMNnGJ7q8EEPQsdD0g2y4k9c6RLqTOKsosxDT3UFWLuk5o2xp/eoamuTRNRpK8xDCGmOaEdq9EUTU5P/ce2z9CCRR0PaCutzIGuNrsWEj++bCzO0hRjTXe6JTKzdF9C8PqUZWheGQd+L9oISjDDHd0gOWAYYzRRh51HaOqDtrxijJNKdaZcPqP+12X4qNZ7xWwwmn3vK+h670uXlLBn5wCCm1bYhgDTLNF09+hKBrWMMNwfKpqS7HNCM4H6I6D2cuo0rLDRWoZJdKiqiaGOaIsVxiuJQyqqsY96u30BW3TymbZEzNDowNZDddAtfTdXPu9HiQ4H2B3qmoCBdPcI16/xT8Xc0AzsLAsMIwh9ijFMIY0WoY1WEouRFfd50spPHYA/yaXYmKRyMKsKmiah2aHeMc9osu1bOh9WfD8RyOyhehv3P0AM7CoqjWmuY89ijHMPvakpIq7nPBpD1A7IoYvneWjIeldhO4Y1EVNXb7DPj3FMMbUdUyW3JDeRZSbnDLutDSOgXsUdBu6sOKcAx9tkwuI78m41d0fdEWARV2lpPcx+aKjlacl2UxGeu6Bj2ZLt5Rcb8VFocmxJ16HHRhEl2ussUPTJRdaAyEvvKdM58uU4PGIbJlQF7WYUvpd7ozZR9cD1AMbRVFp92qKMEfX+7RtRVkuKbOQvFljOC5u7wzT3e42D90xMXoVVl8os4Yx5Ks8fpA7is8d6reNnRZ8yQnTd+ss/hTwlxRF+XHgv2rbtvwHP79f+UPXh5iDGNs+pNJj1DNNFhxjKJX9WKHsLVFVB0XRaduYPL8luZNF2N9TsO1jmrLG2fOxgj663se2VTTNpa4ztAMbRTG7DWiAN2lRjVsMY4Sm+eiOgXsQSGeRlPhnAyxnStuWFMUd8fUG76hE14cy8vrcbYYxxfM/7B7bxxnMURQV09yjKO7Ea2ee4Oz7OFOZX+uOgWH7qIZUTIqiYLiuLMzGBEXRMQcZ1iCgLnNhPS1j7MEI09yjLNedwFBF14Ouy2nJ8hBn36dtWky3R7vfYHlDTDcAFAxjQBw/pd//IXTdoyiW6Lq/Y5sYxoCmkc3Y8z6kqjYoBwaGMaBtG6xRiOuf0rY1eXNLcRPinw/Ey2uZUue3ONMYz/sQ09yjqta0B9LuW0MH3XApNvd4xz1hEq1SoUF7ZucvZKKoGk1ZY/Zt6qLqRmIF1tDFDvYxjAF5fk2xyfAOB5iBRbHNML01rvsQdSAdaVWFZPexMIruYgFeBzbFNt9Zm+SrFP9MVOLFOhNmj9vHGm6J3qzRfdnM7IlLlZR4Rz3MnkW+ki7PHR6hKDqWNUVVLfL8mioupFPKK+y+T9NkXaiWhdV3iK+3BA+GZPcx/vkQd3hAXYdk2Tts+xjbPUQ7nhMra+ypS3oX01StYGW2gaYgupjAwho4GI5PE4iRouEEaJrbdbMJTSnV/vtux/AtskWMaqj4p4OdRYdQuRVUTSc4G5ItYxGYdjTiOqtQNRPDGJGW73CP5PNz9v2OUWhgev3dd7rI1pTqBsPsY1lHaCMf1biiqrZU1YrkLhSLm7rBPayg36KqFmn8Ft30cYIj4BrDGEFfCqOv7Oi8t34VHH+hy8B4n9H9ryD25194fMfNom3bP6soyv8B/MfAz3bKv+Zzv/9j3+m+PwiHZU1RhyamOUXX++i6h66LqVlVbbHtY9q2Iby9wBq6JLNwlzHhnw/Iwjt03ccfPuR9SqEsfi1t29A0WbeQ94jjp9KtGH20kYOu96iqLZZ9QBS/wT0YUkYxhtWjaUqKfE56H0lUqq6iGcmO9pevUtq2xT/Wug4iAlo872tomkuWvSMNryjWMpZSFLC9A6pxQZ1XOH4Pf9wDQNcHKIqOcmhgWRPBEqYGut4DR8BpfW+FYQxp25Jo/gZ3NCHbih2+P3ogs++JBHS1bYVhDDCMAarqUFXb7rWG5NsNifEaxzmnLDek6WvyVQKAM07Jww12b9x1H7IANE2Jrvfxe0/kvdNc8uxWKuzxHqDQNjPc8ZSmKVAUUT63bYFpTVBONXR9gKbZOHsp0ds1TWeWV8UFVi8QbUzVYHsTrHHWkQcKFE3djfUc10NRVKoywZn6WNYhltWiWe9kdAOoqkGyvSC9j/EfCs23qYSv758OyBYxigKGa3YYmCvUYF3FcGUTqYsK/0z+1rIPUI8s0sUa0+tjuBWKuqLKKvA1THNCVYWoqkXT5PhHeyiKjmzOQ5omJziTQkNRNJQTg7YpO+NMwUmy7Ip0uUGd2JjmFEVRUY512rbchQ/VhZgW2qMezX6N6fnd9VChqg663qIoBtH2BbZ7gDsdo+hrDM8kervufM5kc1A0FUU1sPwe6rmGqmkYxhjTnFDXKdp0jmYuZAxp9HZjWNPcp3ZT4uimoxtbWGNX9DuqRRbd0zYNyU2Ioii4hzWg4DgPUPs24fIZ2fs8+/tYcIMul0ZREuLrLd5RjeXr+ANh65nmFMP41kb0yz7a9leFkWDbtv+Boii/E8nTUJBs8D/3Ze77RZhFCcSABQR8brP4QT9c95yyDNlu/w6KYpCFd3iDcxTFJIlf4XqPaNuSdBZTZRXFKhUXy6QgervBHjuU/hrP+4A8vyPPb0hmG2jB2U/JlzEoCv4epPchih7jjCI872uk6RuycI4djPFGp6iqiWU1gEK0ek06k3FBuZXxWDKL8M/6lEkpdiMTl3wdApeUUYwzOOy6ogGK0uk2ph62c4Sq2jRNhjc9RlUNdH1A0ySU5Zq2bajrkKapKMutCKKcE+o6p65jqcjKDVW5oakainVKW99RrDNZSOuMPL/FMIYYxhhFUTGMPnl+T1kuiBe3eOMDqioi32QY/kxYaJqLZR1T+5dEl2taWnnM0SOaJhcsaPWKpmpwhwcYxpA0fYNhDNF0B2+vj2EMURQddWp0G4JHVW1pmow0eocbnOK6jyjLLZrmYpgj/DNlt0D7R9LNeIOH3RhsjDq0Kf0ViTnHGY2xrENat+jYQzZ+8FHX4d1jGEM8/yNUVe9Ghhm2v49qLgDk3AxNRmfmBP0g7s5xgznM8fwnlNaWpkkxjAGa9q3CQzfXmOZUxnx73m7z1PZdFEU+5zR9Q5lvsN1DPO9D6jrqPtOiK1Q0sT5vJerXNCdAi3pkoWkeTZMSXs1py4ZEmaFOLSxrH1U1aNsWVV1gj6VYqXMZz/rTExTFIF5e7txhFUV0N+ldhHa8wLIO0CYBTZPjncjiqBk61rjA3e91nbu8n3It+JTlkqYpMc2pdAOqRVVtsKxDqmpDVW3k/d4DaNE0F+3Y6QqSDdGlZFFk87hzJQb1TANeUZXhDh/yToQsEr5YoBgqZSg4Rb5I5HWcazRNRlkudtfXV3W0/KrpLGjb9n9B4ly/p+O7YRa/DfhjSJzfb2zbNvkHP71f+SNJ3nQV/4B48Zb0LqbOXpItE4LzIdBK9T+SiM3o9ZrggxHB4xH2sAc0xPcz2raWL2YrVgnh6xXFNpfK/nzA+vWFqE97NpZ1SBj+AtGlgM/ZOBGW1PkQw3GJrudoto6z5wvDpGdx/zeuGHxDfHDyZUo+TwRwdgy2r5bCGw9C1q/v8U+HMk5SDUxjSNNkbGevyJepgLy6itmTPI5kFgnFdyUdSPTuZ/CPxzTNPln2jujtWvyw8noHkEcXK/yHI7zjHkWYsX76KW3d4J8n0FxhDhxMc0xZrmhbcVud/Z3PxEzvfMDm5YzmvEDVTaJ3C9Ep+Cabz+bonkGWvhW76mJOscnIl6lkSpTX5KsUe+wyPPwNFMWCzewpmqWTrxK8Q8GVsviO7csFqq7CmcS1JjeSqd02LeldRP/sAZZ1gG3vU5ZrynKLYUy7je8aTfPwp0fo+oCqWhPdXYlLrqbijg5pmpzV0zfYEw9veoim+cTr1xRhjrc/RFVNTHMiryHMMVyXeP1GMJuBjEfUA4f17S9IMTE+oyxXLN98SltJpoRp7bOe/9zutaWb2c7PyB+fo6om8d0t6SwmctY7ZXZd1ESXK1AUvOMe4esVzoHgUP7ZACfYp4giwou3O+aXe9pHN2SBLoo5eXZD9HaNfzqgd34ACNbUNIV0l+Ez6W6A5d+9wezbZPcxzmFAU1cUxT1FHKNqKl7/A8pyjqIYjM7PKYoZm7ev5HPrOl/d8CmzkOjNGmtoo3uWUHeTEsOTxLzpr/+QLLyjykqsvsPm8kpox4ZBU1Vk84Tt0zlN2eA/Ggoz0THIlJjwYoXhmcQXa/JFgu4a5HPJGQ9fiVNwcrUVWvttuBMM2pMZ3t7hV7fg/IB7QymK8pNt2/6ooigh70cl3a+QbKXeFz3Gd9ta/wDwL7Vt+81f5nn+/3LI2MKgrmPswUAW+ssVwbkwkhRFpS5FLKZ7kq3cdLnRVSqjoPQ2whq6ZIu4m82a2FOP8OWS4LFQVdNZxN4Pn2L7+1RViGEMcPZLyQt4vaRtkPwK2h1z6b2tSFPWNFklPv+lOGHWcUn4ain6hs7wTlVtyqigSgva5q5rqwVCKrc5xUY0H+K/lBNertAsfeeBVCbd7Nnok6VXpJ2VRXSxFn+eKKeMC+qsFuCxaSlDCSkS7npGvkw4mB5SliuiKxHYmQMHe+wSvl6RrzOhS+qa0DT9iOhytZtNu0cBxTZD069pGhEAVmkpHlxL2Xid4ZQ4/gzLOka3dcLLteAMgUVeXe3stYMH4teV3UtGehnlZPOEKi1J+7doI4eiMEiS1xTZCi94gKZ5tG1LeHOLqqu4kwxVFXA1ncWd1fodmqVThLlYTvRXqLbVObnmRNVCtAbHKvHNgmKToRkaxSbr7FJaqmpNfP+ObJHgn/ZpmpymKeTzuF1h+CamVUvWStVg9mzSu4i2bjtn1IY4foo1EiZQ+Gq1o9eKUFEXuxldLF3eU7brtCTK30nl3bZEr5ZMf/hUwqbyO4JDlbbtzDTjUt6rMMI/mpIkr6nrENs+wfXOMcwVebzGfzBk8bPvpICaeLRVQzRbCL35bEDTZPJ+Gir+VL53mqXvvmeG2SO8uUWzxNIlfL3CGgtNWrONXZGShXek9xKIVYZFx9CzyIpb7LGHf9YnMVTCzxaEzxYEXxvTlDXW0MHs2RTrDGvPI/x0jnMSUCcl4acLVFNFMUVX40x9VEuDFrEIKWpU9as0Emx/oDuLtm1/tPvvP7Ah1ndEwdu2/cd+tW4UAGW5Il0tqauYpqmoSzFeq8uaZDGnLNcYllxA8eWGJpffRxcrsqVUPlVSUMXCi48u15RxsVvgq6QQFfK+3z3fhvj+HVUV7XQWqqlThbnkL6cp2TzBDCxRi4ditueeSTBOdhcRfrbAPe/jHvUIHkmFb3gmVbmlSuULXkY5+SqVcYsmtEOrc9ZVVIUWAS3DF8udiC16LdVXXaek85h0FnXiQ7vL+yjFR6jzoSrjguwuokoKWSRfLzvwVqVtZEOR92RF27RYI0fyHnQVRTFkgSwqFFUhulzLRlw2pHcxZRpRl+WO/RK+7miqrikjpvuQqtqg210Y0TwAACAASURBVOIeW0Y56Z2cc1M3okPIZINIb0PMvi2/vw2FKdQ/QFVt4vgZ0FBssh3QblkHgkstEvLthrJcYQ0D7LFDOgvlNb1dUyel2La3rYxPArEcSWcRmq3TNAWqIQFI4eVKaNXBGEUxUBS9857KSW5DymJFmSaks26RTgSzUjSFIpRiI18kklFi6dR1SNu25OsEwxPPrmIp90/vIuyJh7PnsX2xoIwKzJFL1Z0HHV5RFzV1VkvHfCkbe9vW1FUqeRpJQTaP0RyDus6I725I70PKck3TlGSbhWiCVOVzRVRNchuS3EoQlm70qCqp5jVLcJAyi3bK/zqvKLKNbJKXK8pQGFbhqxVtC+HLpdCefVM+y5k4GUSvl7JRLN6/Z7mICgML57RHsUiJ32wow2LHmgs/m1OnJUVasnw6x/9gSPDxBOesT+/DMdmNnFeVlJg9C7d/gj85+2rZUG3nR9f9/KAeHfb8hbf9Usf3TZSnKMqpoih/RVGUTxVF+aaiKL+3u32kKMpPKIryvPvvsLtdURTlv1EU5YWiKD+vKMpv/Nxj/a7u758rivK7vszzt624TVZZSZWmHatGFjlV12R2XsaSwd1KzkIVibNruRVBX9UF7BieSXIdSnZxp98QQzmZkRqOT5WmJLOIKk1FNGaJyrhOK5TO76atGqJLSeR7XxUbPYvw0wXbb87xHvSpkwpr7OIe9fCme0Dn25+UZPOEMi6owlw2s0Jopsm7LelNuBO1KapCk1eimH25RNFEaFfXCXVWidbi1Wpnx25OXMLPFkIVHToitjI0mrQifLnCmnjyXlYrdKMno5ShI885j8UC5ViEUe/xBXvs4R33hStf1BK4032RNMPAmYpn07deV05yt8II7B0RAUXBmfqEr5biJ3TfLURFLZ9PXHbPv9ixkoRCuSBdLqnKkCouqMoteT4jXl5iOA7FJiO8WFGsU1RV2Dz2xGP7cknbtNRZJfkVUUFVrYjerqizjto5TyiTTLCuuJBkQkUhvp9RVWthDK3TTkQmr/f9Z18lpdBXoxz3MJDX9noloUhpKQLLLEJRVKKLtdCAfRP7ICB8vqDcZrRN042YxHW4KcU6RWqEVkKPdJUmrwhfrXbUXUXRRah2IFbd0YVsIsntlnTWYQEogmVl1W6Bl42+JrkJxXZkLJqVuo6oiqQTP0aU+ZamkO9GnVUk3fWoqJIPHr5aiQV93yJ8vsA5ErtzteuU6qQketnZl2Ry7u+NLsPXK4mGrWrKqt5Zl4cXK8JXK/KoEPv/omDwcIjRt3daKGffxxiKNsUaOtj9CYYxwnFO0TTnK1vvBLNodz8/wMc3Pv8PRYCb3/Rl7vj9VHBXwL/ftu3XgR8Bfo+iKB8Dvw/4y23bPgH+cvdvgH8WeNL9/G7gvwPZXIA/BPww8FuAP/R+g/luR1muyOaJgHed0V3T8bZ11yC6FaqxdzYg+GCM93DA9tOF2HTbuiwOSSlGgr6ojZOrLVWY0+Q1zmlPkrwcg6pMpIoMM5KbkOQulEAgXaXJa4ptDm2LvecRPBrhHAVsP52T3oRUSUFRVXiP5SKXXGlxO41mM8LL1c6bKXy57KotySxo8gpnKo+ZXG3FA+liRV1U1GlF9HyJfeDjnfUxbGG5uAcB/tkAe+oSPl/KwvnJHPfhQGJe52LRkXXjCvvAk7HG6xVNXVMWkpdhBJYsOi+W2PseVVygqCpZfEMaX5PMwi5hzRIfo2eyoCuKQnS1koW0EtsMzdIpVhnhaxmfNU0ugPLIBQWcA1/OdZtLrkXViIjtoHv+A7G2Di9WVOWGsliJHUsmlXydV3I9LFOausCeemT3CUWYU2YR8fWWOq+ps1L+20WCgoitAOKrDXVeiyo5KSVEJ6+oc8ERmqrZzf3bqhFNjyomlk1Zg6pQJ6VYlNTy+3yV0uSVjA5fr9AcA7nmpVsMX8nn3RQ1TSbme2VUSOzvSY/w6UIM+daZXPOhdITZLKLOa7FpV1URvqkOTZN2JoUZdSaxrdHrFeZQuhpNc1FVcWQ2ena3wMtnFL6QTqCpGsLLNWWUkd5Hu/e3Lip0z5ICamCTXG+7kZfknFRbGRWGz5Z4Z/2dLoYW/JO+WOEc9wifLaUD7V5TUzXij/VsQZ3VlFWFYnbLVgvp2y3O1GX28o7xgzHpVUj0atUVhdKRiDODjzPuY5oTsduJn3fd51d0dGOo9z8/aIeiKL+/wyt+vaIo2+4nBGbA//5lHuP7tlm0bXvTtu3f7v4/BD4FjoHfAfx492c/Dvzz3f//DuB/aOX4aWCgKMoh8M8AP9G27bJt2xXwE8Bv+xInIHzvvKaMC/lidlVSuZURRrHNRFimKjSltNr5vVSUO8FTKAu9EVjYBz7bTxd4Dwcymhi7FOsUw5TkNnvsEb5ckN7IKCG9icQUrfuSi59R0wW4BKw/nVOuM+qmIZ+JCyeKQlu3JLch0cWKfCHdhO4aOIc+4bOFYBmeSV3UO5M697RP+NkcGmjyepeAV6wysUXohG0oyGhmm8uY6JlU7XUsdurFKpOMDNugyWqiFyvClwKq6oYrY6nLNcUqBVXBPvAJny6okpL4ai0V6TaTajPMdg64TSkVdpUI0BheSKX5/jMJXy1ldKealOWC6GpBvhaFeLHJd0FD4dMFxTbb+U7VaUX0aiUdlKKgGz3KuKAIc/KFdFJVVlLFufhUJTITb/JKuq9EXHrTm5AmExffOu26nTDv2GmeWLpkFcU2J3y9lOfOauK3G7EzGQs9tm2azg67pNhk8n50nWTTqZCT6xDdFSWxe9IjfLGUgCLPIHq7Jl0u0VwDzTPESymTar3tbLCbqgFVwXvQJ/x03pnwmUSvl2R3McnlFu/BAP98IBb3riUd0rvFtyxd8orkOsQau+SLhLalY1ytiG+2XcKf5GtUcUEdiyli9Eos3tO7WMKm9n1xRnBt2qbB8MTfzD2WAqHOK5qywehbhJ/Occ/7QmseOHI/25cRcXdezklA+Mkca0+u8fBihbPvY01cwos1ZV2TzxLRU7QtxsDi5uKe6dkYY2DjnAQEXxvR5BXZQjg5wfkAf3oi2gwt6ASnBuly+ZWsdfLB8wO9WbRt+192eMV/3bZtr/sJ2rYdt237+7/MY/yK2H0oivIA+A3A3wD227a9AdlQFEXZ6/7sGHj7ubtddbd9p9u/6yGzbsEPjMBCtw3aspZFW1Uo1tkuCCa52pBdR5RNQ+AZuy96XVSUm1xER/NYKsP3F0RXbcssXxHLA9/cRUDahwG6b5IUm29V0alUc/mdRHTmZUmxzBg+GGHvi6smCNUvvtpSZ+UOE4nfbsjnEkRfhgXFMhUfq0RA4qaUirjcSEXWFg2qLaZp9kTOMVq8we4PcKZlt4g3WHseVZizfDrH7dkStLTJZBxTVNg9H/+RZFWXWUx2L7Pf5N1WRmifLQg+GmNNPOl60kre31VKORQDwnwuyW1lVOzsKsIXS1mMikYIA0/GuAc+0fW8M3zUiC5WGD3x7AIJAQLZDMttQfxqJfbpfXsnuIO2s7S2dwCqbhsUnaFhmZQ7N9LkVlT876Ng60w0B01eo9kaZVR0rDdRxrvHAeEzca99D7S+x4uKTUZWJfgHU+y9Encti6V73kcNczRbo04r0hvxd6JtZcxTNoKXdWOq952deyg4pKKrhJ/Od0FHbdXI9fFmg6JCWdc7A8sqqYhfruh9LBbwiq529jVQxDGarcviO/VwT/sy+rpY79Tfmi3LQZ1WxIsYs+/gPR6y/WRO7+tjwVlWmWyUeSWmgR+KiWBTV+KY3FmnN2XdXas58cWa7Doi+HgiJp09GzOwMH2PpsmJ36zJF6mMV8OCuqioQino8kWK/sSkzis0RaGsZVPJFynFMqWtWw6OxqT3CdbExX882tm/eMc9CeGyJ8Iw277C8Y8ASFbXlHHxRcvIlz/abhP/AT/atv393WTmCWB/7va/9kX3/b5vFoqi+Ain999r23arvM/B/CX+9Je4rf0ut3/78/xuZHwFgOFL1vL9T78V187AxD3rEz5d4D7oS2DMxJM5etl0M/1aFt/7RCys8xrV0ndZAtsrSXfTHIPo5ZLggzHucY8iW8licSdh8vZhIBXfcUDZNDh73s74zj8fyIK8zTHvYm4u7nn4Iw+w93xh9dxFtA1ktxG9D8c7OwvvrI85sIkv14SfzPEe9QlfLAg+GKPqgo94jwYsn85RgOGHkx02IpTaSADaLm61rVuCRyPqvCaMZNYrOhMRdi2e3jP+cIq97++Uvaqu4nZOqlVcEL8S8LpOS+kiDI3sJkRRFcqwEHqwb+7YZqqhSe7zXHCh/D7ZOca+H0uU3bjCHMhzhi9lUzECE+/hQDbEbU70ckXv4ylN2UgQU+e2W+Zb0lt5jiavSO/EKLBtxICuTkvsPdmAw2dLoVGaGqqm7EgOUsnXZHeLnZr4vf23e9Zj+4lEqxqBhWpKyFDRGSTWVYKiqlRxiXveJ/xsgfegj6LJZmQEEvpTTUW9nV6HsrCWNcn1lnye4HaLnHfUk7FcXhHfRqQ3kQjfNFVyGj4a03845P75PZMPpqxfL7Fts/PNKtFtnToX5ll0uRbgfSPaHiOwWP/creRDXG9xDgJhZ3k93EOx4ghfShfRlDVVUqFogg0Uy5TkckPw8QT/XDLlhbBQSac1sCnXmXS4RY3uG5R1TVt119d7072mkayMM/lOVHFBFZcUq5TF03sG50PKZUbwwUhME00N48bi7ZsZR6mor9/M7vnab3qIfeRTLFNJ5tNV8WzzLXTTI75/hzMedkXVWwxPUiCr6KvbLNrvUcGtKMqfBP454K5t23+ou20E/BkkH/sC+Jfbtl0psmj+ceC3Awnwb7yf2nQY7h/sHvY/b9v2x/kuh6Io/zbwe4ETJFr1R4C/DvxTX3TO39fNQlEUA9ko/se2bf/X7uaZoiiHXVdxCLz3KbkCTj939xPgurv9n/i22//qtz9X27Z/AvgT3fO2iirmZfaex+Jnr/HO+xh9m8Gv25eM53chqqGy/6PnNHWLNXbwoj7ZXczN1RzFUFlfbzj9xx/uzNfysmT9bM7woynW1CN+K/P74Tf2AcQG+d2W8JM59pGAt2mek1yH8nvflAXbMdB9gya32DsYEj1fUSwzmrJmfbVm/GRK7+sT7JGL7gnFNl8k2FMP3dvDmrhEL1es360p1znOSUCxypi9vGP/0RRrKs6wweORLKJd5KZqasx+6lLcWk2N4OEQzW7wzsQNNnqx4tXfeIWmaRw+nO6yMcKXC+q0Yu8fPeN96PXkN59QbDLSWUj8es39L8wYnA7YXkvHETweitngPJEozUwWkmKdsn25Yvj1CdZUxjtGTywm2rbFHntojkH8drPbcFc/c0Pw8UQunqcz9h5PcY4C7Km7s3SvswpnNCC+WWANHbyTPuldRHSx4u6n3uCd9SmWKZGxof9kjOYY2Acei79+hfdoQFM25JF0H2mc40QFwcMRui+Aq+Gb9B6Ndpkbq5+5wf9gSH6X4D4cUK7E7p4HYA0cRr9uX8ZdhZATVp/d0gJuJOmD2V2MveehaJLbvfyb1/iPh0Lr7PLi67TCPeqhOwaat6BJKy5+6hVlXXN4OCZ6tuTmai551YDXd3DO+mIq2bOwR66MtTrNjeRXyLWouTpVXJK83WIfSsSwamoUsWBf3okIBW/+0kvckx51XDD75g3TJ3uUm5zBP3IgmNHbDcGDIc5gQnsiluDFNkPvWTgnAW//6iuapmH6eIqiv/cSE0uU95nd+SIhmycUS0nOs/Y89v7hQ7K7mNn9in64R/h00Y0kMya9Hs+vrnm8v88HH5+SvN5gjhzMsYM5lDAkZzQmur0jn8+piwpz4ODsB6SzkOXP34rwdfHVSse+RyPBPwX8t/zi7Ov3eO4fURTl93X//g/5xXjuDyN47g9/Ds/9IaSA/luKovz5blz/nY7fi9iT/3Tbtv+koigfAf/plznh7ycbSgH+e+DTb7MG+fPAe0bT7+Jb4MqfB/71jhX1I8CmG1f9ReDHFEUZdu3Tj3W3fddDVaUybYoa77zP9tM55TZHNdTdKEkxNPJNRhlmhJ8tKFaZRLA2DW3RUFYVTS0hSvldQl3XBMc9Afw+m+8W4rZpd4yRvLO8Xjy/p8lrqqYhvRKzPBlv6Gw/m6MoisylHZ2LdzPyecLs9T2DkwH5LCa+WBO93VBGOXVRk7wT8RVNizl0cE569CYB89sV2a2MyKqmYfVmxfabc8JnC6I3G/Ius0PVxHjO3vPI7mQkgQJ1Ue+6q7ZqqJuG/cMR5sjBnnpCAX2zxRw7goFsBMQvwxzN1rHHHu5Jj2Av4PblHcGejE/S24j4aoOiq7jHAb3HQ7JZxPLZnN5jcXttilpyLTpgt9hmFNtujFbVslE8m5PkgjXkdwnTB2PMsUPwZITZk7zz6EKq5qbOUS1NgO5YgGDnIMA767P9TBg43rFoj8ptTrnJ8R4PWT6bc//8Dq8Dyqu6pi1rmkqo1OGrJWUk2gBFVzH6Nv4HQ5ZP5xgDi/CzOebYxZl6VGlJ9HaN7gmbi7al3GT0Hw4pq4oqKth+MiedRdCxzuq0wn88ZPH0nmwWE34yJ3q9IrkWMZne5WqjKhw83uPwcMzl1R1Xb+44PJkIg27iYh8KfmD2ZaN4Hy3cFDXh86UQMw59wk/m5LMY+8jHfzKSTiawoIXkVhhuZSzaEPekx/3Le2av7pk8nGCO5L23Rg5VJH+TLxKS5b2Y+vnmbuyruQaDoz5107B5sybrwHpr5BA8GGIG1o4lp5oqum9iThwWn91JtkfRUNXS6amWxvXrO4q65uXtLefTKes4pgoLnOMA59gneDTcjZ4MY4C7F0giY1js6LnvHajDl8vdePMrOdqWtmx2P1/85+1fA74dNPmVwHOztm0zAEVRrLZtPwM+/BKv8PvaWfxW4F8D/p6iKD/X3fYfAX8E+LOKovxbwBvEVx3EzOq3Ay+QVuvfBGjbdqkoyh8Gfqb7u/+sbdsvRKbi2R3WyEUxVLKrkLZjdaSzSEDsuiZ9s8E76Un1l1fMb1ds05Sz6YSrt3ecnO6huyZFJjP3qmmo4pLwzYrxk6lQ/F4uZQ7rmd2FalJMMvTrkOvXd0yHfdJVir3J0Uyd+GJNuRKAuYoKlm9XnE0mXM8WnJ7tSwrZcU9yhbsLP3m3pepyENqyxn84lECivGKYVry7mNG0LSdne5hjRxbgQMzqzKGzC6qP3207bKMkn8e7NLfo9Zp8FrNYbKjbVkRmxwHhqyU0UIUF6XWEfz4kud5SLFNiXel8egKh1poadVTy7mLGcO7TeziUEczDgeg98prbTy7YezzF7LoJs9OGhJdrdOdbl6LRs3CPJbI0OAy4eX1PcZdwc7Pg0Q8/kphVRZHI3Fi0IMm7LaqukVyHomuJC3TPkMV6m+/0AmWU4+x5eCc9jMCkDAtGH07JbyNmr++ZlmMpEroFtk5K3LOejLFi6RLrTMZSvZM+8xdzJk8kIxsger3C3vNls/JNvJP+Lj97fD5i9uqe8f5gN2pCVSSLZJUyfDDi7uU9e4+nJJcb3PM+iqpQrFPiy003/hNQv65rHjw4kGp6YIsD7p6H0bPQbAHKg/PpbkGs4pLtp3NZWE8D7p/fc/KjD7BHLqqloWgq+TqVUeAm2+Ep2XVEVpYcPdzDGNjojticNFUjxJF5QvBoRBnlRB2jq1iLB9f2kzn3qw17kwHuaU9wiUjEnv6DQTd6C9k+W1CFhQQylSV5WbK5mHEwHlI1DdtP5rhnPQLH4fnNDR8cHOAMHfyjgHKdEzwZ7XAQ3e/y46stZZQJwJ4JFpTehCiGSvJ2i3vS231mX8nx94+hJoqi/Ozn/v0nuunHdzt+JfDcK0VRBsD/BvyEoigrZILzhcf3bbNo2/Yn+aXxBoB/+pf4+xb4Pd/hsf4k8Ce/l+dPboXWp7ty8RSVgGZoCqt3ayZPphIiE1jURY194GOEKVVd83p2x8PDfdAU6qxEDyy8xwP0O5O3b2bYhsHyxRzHNNEHUrkAEpqUV7uErr3RgIubGR98dCqzWFO+RHGeY1yFGAMLz7J4NZvx6GAfY2ChGhJe5Bz4Mp7pC5fePhKWSPDxZJf5YE0kx/nAkAbRHDtie103Qhd2jJ1lhqIqqIZG/GZNk1aoto6iKRiBif9wgDlyaD9p2b6boTtCBqjCgvX1hqDndml6Eh5lTVw5l48mYjmx72NPPNzzHntVw81qhXlrkMY55shGNVTSd1uaphE/rKNvJZSVYSEJhI9GO8BR7/IO2rqh2hbYhsGbqzvOziQ6NHy+3C2yiiYxofaeL8wmQxPA9y6S7s3Wd11TdhsJ/uJLTnRbtzt6r2pqTE2Nd5d3KMD9xQLLMHAHzk7ZjmqiaArhp3OMoc3dK1nYzaGNNbB3xIMyLERz0jHWsnlMfp8IltDpJKqoIFcVqej9b1m9vMfNrANfssINVfCdWcxmHRHnOXGe83A6xeg2CdXWxcvJVbEGDvlGxH7uYY86K0Wf0ll4LJ7e0zvsUTfNLgEver3CPe5RhnnHYhNspykb4jynaVuatKKOC7a3Ed6DAXVS0NbtLuWQVub228/mAPgPB+iewaE3wdrzcA79nSOB2Rd8STN0vKOeYHW3MebIwdMU6rSimKe8ur7laDSCpiV9G7KJY+qmYR6GWLouG99RgHMQSHoiEL0R52TvtBUW2kzGee+V8MnLhYx4u3P5qo4WqJpftFnM27b9oa/o4X9ZeO4v+mXb/gvd//4niqL8FaAP/IUvcxK/ZsOPimWyc5B1jgMUTeH++T3jh2MZM3X8bUVVxMp6YDM6G+IYBs9vb4mTjMlxQPjZAr1nyeLZjXoMXWf0WIDZpqjRfalQd6yqrXyhs7LkbDIhnkXkZcn0yR7mwKI/Cbi8vOW02iOvKk4nE+43W7wsx7UtrH0P+0DmyHUuDKwmKynykvw+JrsOsY8CzJ5F20K8SXAsU6q2a2n1nZNA0sA0ZVftaqaGEVikb0OavCZ6vcJ/OBQl703IahVSNwL2p1chs/sVe5MB/odjrKHdqX9LkrcbqljOpQyLzipDw+qCjo4tjYt3Mx4c76O5YpiYzWImh0OMkU25ykjfhQRPxigKlJuc+GqDakkWhO6ItYp72hftwWuFZRTRZDL+K9KSoMunrrOSOi6JL1Y0RUDbtOieIWylJ+PdXLqsa/y+WInna6Eyt12+tRGYHTOr5qgY07aI9sCRjcYc2gLiptVObLe8XFJ115HmGqIivw6l0v26vK74rYzh6lTOsahr6kYwjPD5Aue4R75MJVyrb+M9GqK5BteXdzzae0B8uUbVBXey9j36wNDqU6wznt/eclqW9A/6oAqm1vtwQpkIBbrcSm6F4Zm4xz103xSx5mXNzcU9B0djFFWl6DYINIVynZO+3eI+kPe9qXImT6b05gmXV3ecFhOSJMMcis348umcya+TTPGmrDF7FvXYYfl0Lmy7pt2pyt8XOKquiqbDEINIdWxRHuXQgDmwdxRp2pbjbMTL21u+8ficcJvwdrHgw6Mjen0PxVDRPKNjX2lElyux3F+lOAc+tOzGd03dEj1f0pYNwccTdN+irVvRgHxFR9u21M0vmw31fcFzP38oivLHgT/Ttu3/27bt//O9nNyv2c1C9y3CpwuMwBRGSdXNP7sWfvNmTbHKJGs6KcluJAqybluapsHUhU65uF2jzhR82+bi/p6Hh/vY+57EqY6/lVrW5KIYDz4aS5tr9knfbjFGNp/93Rc82NujWKQoCmLvUZaE65hXsxm/4Rsf4O55tEWDcyohSXanpSjjgvh6S3aXoCkKdy/vGR8Mdl2G0bMYnA/55Ode8bCesoxjDh9MMToldls1aI5BGYquIr+Lqcqa5GKDfegJf79qMAY2A99jHoaURcXNbMWD432cUxFZGb6IFZ0uCS51t9w/v2d4PCBfpDvxmu6aZHVEVddsNzHWRqrK4GtjXv7sa46rCck2Y/Sh5DubgY01ddl+Osc+8EXIWDVoIGym65D1MuR0b8Kr61t82+bo4R72gbdbgOxD6braFlElv9nS+3hCucko1hnLiyWTJ1NhGnVgvojgdHTfYPvpHHPikF1FtHVDWdU4xwHmyMbwrG9hU1WDd9yjrRuMq5B3FzOK+5RymksO+sWa3sdTjMAmXwu24532sfel8lUuVMyFxuXVHZMgQPNMrIlD8nZLGeYYPRvqlrKuWX06x93zyLqCx38I5kio1crlhofNHu+WS6Isw7dtetNgR59WdJWqSwBUbAPd0VFU6VA1W8O4tbh6c8dHH4oeoVzn6K7B6umc4YcToXA3oi2y9lyKZcrp3oSLGykAAPJFSl6WO5+pphThnubo+Ps+16/vmPQC5tsQdxXj2hbmxME+7AKiogIjEKNNa+QKq2yVkbzdkr4LCaOEOM85n07ZrIXi3LatdDlFjW5p5DOhcQcPhqi6tmMHapZO1vmfGYGEMrVlzeab99LRKZJA6T8afaVrTl3Xv9yHeI/n/hH+fjz331UU5X9CAO5Nt6H8ReC/+JxI+ceAL9JM/G3gDyqK8jXgzyEbx89+wX2AX8ObhWZpcqGvM1RLp7hPGU/7vLu84/h8b1dJKppKXVSols798zsMXRegOIpwNx6WYfB6NkPTND7Y3yeKU7StTu/rE3GH7ebihm9JbGTVdNkULUbPpFjnPNjb49nNDY/qPdR1jGdbTHs9nl1f87WjI9J1yuDDCcbAwgxsFF3F7FlUmah7VU3F3nMFANzaXL254+RsjyrMMfoyijgdj3l+e0vPcVi960ZNH01QFIX4zUbS/QaWVPpVRW/i4J70MXxTmEfPlhgjmwf1Hi9ubnh8cACqjKkUVSF8JeaJmiUK5jIsGB4PuH59x34yok5KdN8gu0vYhDFN25IWhWyYPRPNNTg+mkiFejARq45ZjNdp6Ok/pQAAIABJREFUOOwDn/nze45/63lnZJiT3Qlwv/d4Sls3PKimUs2XDdGLFXVU0vvGRLKaz3osn97Tti3jj/YwAovo9YrZizv2H+8JS6bzvgJEFfzZAmvqCqj69B7Xtnh5O2MSBCjPFtgjB3vPxWnF1qXYZJ1eoxRSQNuCAooq2oSsLLEXCdbYEf+pebKjS6uagmpq6NcGp6bQUctNtvtcFk+F3FAlJU3bEpz20QOJWn1/zsU6I3mzJbwTRtPhcEiwF6D3xfpD9y3Su4j0OpTHqRqyRUJys8U97GGPXMp1RrnJhXjxLkR3DdIwQ11o5GVJ9ELU7/a+AMbp2y35NmcVRdIVZRXp25DbxYqTB7JxCJAv7+ny2Ryv7zDyPF7dzvjoGw/QfOkUjb69C6WK3qzJl5Kx7psaZl80Od5ZH6Nv4XTn2eQ1f/OTZ3xwcEDdNFze3+NaFt5KRriDaTc+m8nYucpKskWCooD/cCidTdl0pIQRy6f3OJ6Fcxx8peK577WzUBTlTyNdwURRlCuE1fR9x3M7au2Pd0yq3wn8UUVRzjpHje96/JrdLMqtsHhUS0NzdFDZzb3rpEQ/72ONJaAmudwQ30TkVcVss6FuGnzbptoUO0DNNoQrPjwc4Jz2dnTU8GJF8HCEZkpAfZ3XwvcPc1AUzIGFFzg8qvd4en3Nh0dHrKOYF7e3fHh0hB84rFYhPJ3jDB3so4Dg0VAM2N6syboozOg6JCsEACwqEQuG84jxh1PyWczL21seHxzQAoNHo908GwX8R0Ou/+9XBCcCmJa1GPuJIV+xE4a1ZUPTNNRtyzKK2FNFG4CWC8Wyy7t29n10RydfpOxHQy6vZpwkIzTXINmmvFss+ODwkLZtMScORk/GFuXY4bSacPFuxnkxJcpkpFGFuSxiVUX0bIl96BM8GuGeCn3T6NuEn87Zpik3qxUPmj02ScL+SKzJq6ykbRr8kYfm6ph961t+TO9HRY4h/P8wxxra2PsSsbp8Osef+gRjnzdvZtRNw95jAayNviW57EObpqhIZxHJ2y3ryxVxLguuYohArI7kc1F0tXM9nRN0s3G1Y1DlqxRzJEXK3/u5lxxkA/YsXVToWYY5i3lzf8/RaCS02bM+Zt/auQ0ohoo5dlDvI25WK3zHoaf3OtNKwQ7KTUZyscE575Hdi56lWGUYvtVllgjb7HRvQtEx5RzP4vryjv3xEPvQwznpdc7IFu55H903cdYu+X3C89tbbMPgwfE+xtDGfyA6izTqgPem4fLqjiTPeXJwIOFepobWJepZI2fnSBC+XIpb7MWK4IFc85qto2YaqqXjnFjEr9dUdU3ZjfCGvs/JeCTd39jFPevTNi2apVEnFfl9QrFICT4a05YNxTYjvlijB5aMA5sG+8AXgPsrxCyA72mzaNv2X/0Ov/q+47nd8QHwEaLp+OTL3OHX7GZh9Cz8D4Y8/8kX7A/6XN7Jl9AcCRfb6Ns4Bz7bFwv0wMKtW4y1jqXrrDsgbb2NeLi3R5RluL7N8GyEObQxBw6apUlFcxXinw4Ib0LoLD5UU6NYJOTzFO/hgDTOud9uqZuGrCx5eXvLR8fHBK6Dve+xP3ZoshprT5xWjY7V4XQq8CoqMAY2VVyKu+Y85eVsxtFwKNYg24wHe3u4Qxdrz8Xo27JJWjrugU8yiwhO+uKfsz+QzSKvZK7/4XgnePv5v/oJ016PpmlQoFvoJRo03+aEz5f4j4eYA4cyEpV2EmUcD4c8v73laDjk9d0dJ6MRztjF7s5FGDo6xTanqRrOyykvb2ecT6c7OvD7bin4cNyJAE00W9x7m6LCnLrsjWysNwYvbm95cniIc+RTLITBE15tWIQhD75+gu6b5POEbCafY3YXY01dAaefLWTsoauSHzH1eXcxY2/QZxwEhGnK8mJJb+ihqH2cqY85EMGYveejWjpVUtIzekQ34W7ju1mtOD3bx+jbFBsB8Y2eJZjR5XrHSoperggX0e49RhWdxSQIeH57y5ODA5xDH++hqMbfW3aHny12oz7T0BkHYsRXbnKSWczg66JDeU9zXjwVtXt2HQmhQFGgwxCqpmG9DBn6Psoy2+FL9nGAexRgjRyskUsZF5RbYcJtVxGbJKFpGvYHAxRNJb3aYk0cFFVB9y28hwOMvoV1afDi5oa8qti8vMOzbdw9D/VDEaZGF8KasqYe4TNhzDUdJhhfbcmuQ5JlgmnoWPsejw8O+PTqiq+fnDD2fezjAN/VpVPpnJMVTcEc2qyfzhl+fSIFW5QTvlhS3KfoScn87ZK9R1JcaY4ubLSv6Gjb9tsB7h/IQ1GUPwr8i8BLRAD4h9u2XX+Z+/6a3SzyZUp+nzD0PJ5d33AyGtF7PMQ7kwszerEkebuRReS92kQFyzB4uL/Pz19e8uTwkJPHBwIm94Xmmd5GYvXxdIkemCRXW/JOkBW+WBK+3cj4pfvJ31zx0dkJj08P0d6pfPPtWz4+OeFyPme22fCkPsB7JApW3TfQfUuM+y7XhC8WdOsDxTxhcx9iGQabROa5iqKQvtmyDEOWcYyzWuG8MXEtC9ey8I8Cqq+NsScCmB/aGtl1RJSmRDchw4+mYuK3zohfr5kEAZ+9e8fpZMLxg32sicvqb93Sti3z7Za+O6bc5iJ666ifziyiXKV83Tf56Z//jI+Oj5k8mmCNHdJ3Efm9pLGZjUX4yZzlessw8HlydkS0TXj6C9cYmsaTgwPh6PuSfZ1chygq+A+FlmkEoltwlxkPplN+4c0bvlaWvFks0FWVJwcHeLaMmpqiJr2RgJx8WVJ3nlzpdcjm3Qb9F0yCxyOsiStAqrrP5nrD89tbTsZjDn/oBLMvtuThxZrtyyU0DfZBgBlYTH7Lcef1BZNatDSbJGG0SkjXKYamofdMcS9OKnofjWknIrD0HvRRdJX/j703eXItTc/7fsCZz8HBDCSQyPnmnepWdXUVu7uaTdKiwrLlaaGFV/bK/4oUjvDWjrAXDm8VXtk7RWgI0iIpNpstVlXfqr5jziMyMeMAOPPgxXcSRUq0KFElmV3RX8SNuBV1E3kTF+d7v+99n+f3BHd3APj9JZ4X8L7f53Gnw+1shuW6bCQZ9hNROAtSEamkEPRXZLko4+HQcdjtIhUKWHOBANc7Ft61+DxU5hWMno39qI7RsUWIUT7stpwSzq3D2+MbHndFCNDk3ZBo7mM/aRAtQhbHY6y9KkpZRR+VqE48FoMF725veZx2MDVBTLafNUj8GOf1iOl8geN59Op13t3e8vHermgV1k3UsoZsyOgti9XljOkbsbGXtqtCMDFxiWa+OMAMdRanM95+/p5aqUSSppwPBgwcB3sywdZ1anaJ8octwTOLU8GIalWRLZXV5UzIgfsrCqoAetq6DgWof9Zb54d/Wyvj3+1m8f/jOgN+M8uy0b/rF35ni0U08xmfj7kajTjsdjGbgni6OBKxmEF/hbEn3LGJFwvlS5ighillw+Bxt8vbmxtKuk5NKkAqkszcS0eQWAswOBlSLpnrfi1pRu1ZC/sBvObGOIsVo5mDqaqoskyWZRz1+zzb2qJimtzOZtTeRZiqkHDqXQtJlcRwOgP3Yo7vh0yXy7UGfbNeFwavJGG8XHI5GvHJ/j5hHFNtlYmXIaXHNWI3pihLZPlmmcXCOBSnwnyXJSmL4wlGt4RS0bg5vhDXdEWhqEl4Nwum8wWT5ZKDzQ6FIhhdG6Us5LmSKq2LaDQLSNKUyXJJZVKiIBWZ3E7Xjt8/v07u7tmoVDi5v+dJt4uuKHhhiKVJLE4mFJUiwUAgV+JViHezwL2YUygW0DoW6UyczB9uGEEssO5FR1p7J7IwYTyeEycJipozj9wINwxpqRJJKGYGi6MJ4+USx/NI85/9QdcfrwRkcHU8QeuUcoVVHa+/xNwqY/TstdprP93gqN9nv93mYjjko+3Haw9GQRZoCdlQSCs6qhtz0BZtycNOB4A4ScRAd6uNXNYwd8pr74SgxxYoalKenZ2izgwKhQJvr6/ZrNepTTyCqk7khCRBQhgJMm5RKYoWVi4xXl3MWN4vWfo+44VQv4VRxP3NjL3ehpAtx6mYj9WNNa5/fjRmslyyyN+nKEk4vrvjWXVXKArLGqXHdZR7jej8nvf9Pk83N4VgwxNIf/txXaiQPMFEi2KBmwdhyFyeTHEHq7XgQq8bdP0ajuetW1A7TTGHK23aKDmXyz2fMx8tiGIhMkn8GPfSQS4pUICL2wFPPz1AtlWs3arAw5RUZOtbvln8+w+4/2Os/x347wqFwkGWZX+/UCjsAJ0sy37+V33hd7ZYAMiSxF67jVE1oCg05lbFZDKaUzHNNZRveTzFmYoHaOn7tCuV9UnhbjYjTlPaikShAM5USFPvxlM6tSp6tyRS72KhZJJNVWQPzANmqxWO53E5GrHXbvPu5obnW1voqip6zrrO7lYbtWmSRgnmltjov8kgQEDhrhfoqiJyAZYu725viZMELwzXhcferojeeFUnXoZoLQtTldeb5+LNGGexYun7xEmCJssi0vRUxHYqVR1NUYTb1nUxruf4UcT1ZMJhp7Nu3ZEhQIszf02plQyZxVgMQCVJEma5ecDS96lOPPzrBfYHTeFVGanEZylH/T6Pu12siom5W8EKYjFTcATUsP60KRz4USL63WXBBGrGCXPXJUlTHne72CWTslJEa5sCoRKnuJdzPMcXkL00JQwipm9GyMUifhjins9F8mFZw35cp3hSXL9mGEWYsbpmYxmbNlqnxOTdkPrTFuE8wL8VHpmiJq19BkqxyG6zyVG/z5NuV0iMA4EPWbzzsZ81kFSZ5fGEoiFjl0wOOx3e3txQKBR41utRrZbQu4KwqlZ01LLG8nKO3jIpyEUB8pv5pMuQxI1IUzFkl4pF0ZKaCeSLls/X7v+VFlBBLlJUJWpPmhTej9AVkcf97lagM676Q1qrMpIhC/R+zk5S6waVxw2MiUk8C3A8j3c3NzzZ3FwfsggTYicgcSN0VSVNhUejOvVZTV3qz1oi9Oh0glLWxLOXJERjQUVWShrGVpl4EQolVbWMWtMpGwY/e/+eFzs71C2LUkeo1AqyRBYL/4u5XyWNU8aLBdE8EKieyQJzpXExHLJZq6F3LCRdWUcUhE6wvrV/W+tX5GbxvwIpggX194EFAsn0w7/qC7+zxSKcipOTbQgsgReE3Ewm6MsldcsSKpiasT4RaVOD6jxgcj/n3c0NnVqNJE2pl0oCMVHVSPyEkmVwenvHwWYHc6eM0bVzQJwmQHJejLVbFbeEmUV96iNJEq8uL/lgexs/iug16sjFIoP5nG6xSOWjNkVNRrU1YjvKI1dT7Ed14RswFeFUdkKWRx47zSZvrq95e3PDs16P4XyOdalht22MrTJGxxaboaUS+xHhxCUKxU0kjGOhhIkipCuH8XJJ4axI+YMmu80mJV3n7c0NhqpyPhjwZHOT0UIM11tZ9o356XxGkGcpGJs2iiz/uVuJTDT1WQUBF9cDerWa8ES4EWmQoOdFKcsRCYs3I8ovWnk+xhQ/DIWyZRWS+DGr0ymTiUOtVGK6XHI5HPK012Ph+xiaRn23idG1xelblbD2q8hlDfVURst9M3utFmeTCb16HW3DWsML/b64VXSq1XUbrm7bbNXrZJmIl3Uv5vhhSDBYEQxWqE0TxVLx7pbrE/d0KQ4bh50OhqqSuDFeGDK8HLNx2BaAu3zQO3o7IEnFDS9KEp5vbVE2DIyeTbwMCSc+G397j9AJcPsLEaQF+PdLVudzFo6LLEmc3ouBvCJJrBYeJaWIrqprUUZ1p4ZSFh4iQWItYj9uCNlo10YyFPzb5bpoPev1MJsWFAoC43+9EAeJmi6Gw25ElH+GkjTlejJBleV1DsfsYspgPmfhC+y+VCxydXkvZjllTcy4zudobZMsSQnjGGe0QOubgsSLOKFLhQInt3dsejUUWSbNMrIso1Q2Uao64dQnHHlEcSJUY2WNeBWuFYE7cRNVljnu90VXYeObQpHGKatrh2AsJMnf1voVull8lmXZp4VC4UuAHFSo/tt84Xe2WKg1na2wyb98c8SjjQ0ux2Oe5CfZglTIN9WScPEaMmmoUtRkyk5It17n1eUlL3Z2aHZqqHWDgizh3cwYzRzCWKTNFZUiwdjFu1sKKmxZoKrjZbDGF0R+zNLzhMwSeNTZQG0atDcsrNsFXiAIqnrHQqvqlHaqIpd6liNBFgILUlC+CeMZLxZEScKL7W0qlkXTtikWixi9kkBoSEWR9V0VCAR9o0T1eRPp7Zh6vcxy4YmWSSJURc2y6PNLqswyf9DDOBYPs+exu9lGqWrrTUexVUp7VdS6jnvlcH88oF4XruDZaoVxp+KFIUvfR5Ek/CjC8mOmpxPGiwXOwyk+SdaFN5x4wiMxdfGjCO9mgVLRkTRJKIBmS07u7xnO53ywtcXK9+nWapT3aig1HdlQRNiQL+B7RUVC0iTkaxVFknifn/grm5U1hbgoFbEOqii5f8G7cjjM+/eKLOcmRpXS4zrStczl5b34N6zuEkw8lLJGeb9GeBTTsG2Wnse721s263V6WQ0vDKmXShTlIsujCVJJQa3o2DWLX74/ZxUE601m6DhwCrPVimantuZdhSOXqG6IecRGiSyF4G1Ifzplt9UiyzJeX1/ztNdjtlphG8Z6M8/ilCxlDcLUasbac/OA43AWK0Z5O+rhFr2Zt68eilSyiojyQbiuqry/veX51hZRHKPIMsWcICBLEnu9DfzVN7ePVqUiTJk5/Xc+W2LHKTfDMTtbbdS2yAGhIFpZ1oGAIGo3Cu9ub9lqNNbtzebCpngvcd+fEEYR2zsbyLaKWtEoP28SjFx24ibHd2LO9rjbRa8bIjPkSJg0Y1fcLLMkW/tWvo31lzi4/6auqFAoSORO70Kh0ELcNP7K9Z0tFrKtofgxu63WWrK68Dx0RaH8ooVWN1ArOs77EcuzGf7Ew2xbjJfLtfknyzKMLTvvuYuUtpKj059OmbsuxROJKIzRShpqVReehouZUI8sXRzPY+G6mJomnNFpiusHFB0JtWVSfd7EdgVORHgeNBI/EhLNmwXBYIW3CvCCAFmSKBaLBHFMxTS5Hn+jjpENRSTt5XLHxcWU4H5JMFhh7VXRGyZq3aD8oiUelvc+++02b29ueNTpMF0sUQY60/mCpm0jSxJvrq95sb3N3HW57A8pzwz2fveRmFHI3/AnlYpOvVnh/EoovF5dXaHKMhfDIbutFk3bxqoIVVTtoI41NYWyynV5cyOGq67rMzl26BxuUCgU8MO8vx8mrE6nyJZKxTIZLRY83dykYllstGqoDQMjJ6YuzqZCZtpfYj9uQB5lW5CLpLkGPs0y4nnI8mImCmnNQDIVim4sihWQpinDxQJVlrGXEWm8XOcm1EslrsZjhkcDqq2ywJRXdZqHTbyrBaPFgkedDu9ubmiUSvhRhFQU4U/TmxnlhmgxKXWDrUZDpAb6/lrps1ZD9WzcqzmSpRDNAvH73Fgajj3COBbueE20/572ery6vOTDnR0hM41jzodD/CiiYppYnRKSJotMeS/CaJWE81mTKNsWQRxzO5lgqCqthvA5RPOA6f2cNMtoZIKommbZ+u9aMU2MqoHeE+KPLMuoPm+SBDGr995aUbjwPK4nE/YsAWHUVXV9QAiWoYBCPqmjlNQcxpcQTn28KGKr0eDdzQ1pllE2DDRZZnw/YzCbiaJeAKWi5bfuYA0BjeI4b3EKtP3yeIrWNvHvRILl4m6B3RFqsm9rZVn2bZjy/mOs/wVhxmsXCoX/Efhv+QZx/m9c39liIRy9GW/zOUHVsoRstq7nqWRqHis5YzFYMHddGlmGIkncTafr00w0DxicCLOXpesMHYcgiridzZisVpiqSs9sQpYRLnyQCsimghlpFAC5WGTp+6RZxtlgwHS1orkqs+lVqbxoYe1WRWxr3RASTfcbiabWNDHzm8UvPn+PG4a4QcBOs0mSppwNBoyXS8qGwaGtotZ00jhFtXXiaojzZoSSzwEefAP+/ZI091E8bGyH3S435/dCaZK3oT7Y3qZimrQqFbSSaGVQKBB7wigYjFZiiFjWUGs6nUWVle/zZHOTV1dXfLizw0algr1dEf6MsibyBgoFSjsVuITH3S5vrq+pWBbdapU0SJDzgrh0XLIsYzCakQ0zjFwgcDYYYKgqVk0A8LIcFOhezInK4nZInouxPBE3wclSOMrPh0MsR6Pj+tjNEvazBtE8WLeS5q7LwvPYajQol8y1nPPmYoCuKJwPhzzpdjFLuvgs2TrhzCMYuMxWKw47Ha4nEx53u8xdFz8UkbmziynT/LOSrCLUmk7rcRv/ZrH29Zze3/O01xNiASdYZ4o0n7Uxt4SCKQliKELrcQvJVFgeT0Ur78HZnMs3oyShU62u4X9qTRdRwWGCe+Ug6WIeMTwbMV0uRdssl3UvHRcttEQR3G/yxZ+9E++9Iq+L7mixQCoW0UyBEkmjRGSTOwHRLEAqFmmVy5R0ka3TbQrfz/LaWfuBtKZBqaqjVMRtPEszQsdf41pqkYkbhjzZ3OSP370jyzL6sxlXoxHPej2iOMZSBQBxdTpjOl4wXS7FnCgvmNEyxHN8ho7DQWmbaOIzGM3Y3G9j7lS+dZ/Fr8LNIsuyf1goFD5H+DkKwN/LsuzNv83XfmeLRZZlHN3drU/0Dzhw2dbQagbhzMO9FvGTsqkQnSQc9/u0q1Wa5TL92YyyIZAZet73bpRKXA6H7LRabFQqa/WRXNGQbU2gKY4nTBZCPrjIf81WKw46HbpV4XHY7rbQ2qZILntQI1kqsRuuQ2qMjZIA6S1FeM3+xgZ+GDJ3XX55dcVHOzvYuo6p6xi2jrFVznHdUwpKEe/KYRUEmMuQNIgJpx7244aY09wLdVMUxhx2u7y+uuLx5iZlw+Criwueb22hSBJRkiBL4oGUS0qu+w9YvB8jGTIFpcjwaEDrcRvd0vji9JSNanX9nodxLOSeUUoSJDhnoqddtSwKCAVQkqbiRFsuo1Q1rs/vqZdKom1EF0NVeXd7S71U4u3NDT9+/Ji72Uy0eKY2dVkSw/eyyt3JgEf/6RNiX/TXlbLGhlbDjyJGjkOvVqNeFd/H3C6j2OI2WHncQDoWZkXHdQnjmNPbO7bDJkbVwFBV3lxf86zXo1gsYj/LE99slSxNsQ5E71ttmWzm7bV/8eYNT3s9ioXCephvbJeRLAXvyiFLM4q68FfIxSJvb244vbtj6VXYVyXuh1M299vr0KQ0zz23nzQEWuPtmJPbOxaet27rpbnK7eF9zTIB+lNsjcXplCxNiWaitZmlGRXbWh+okjRFLhYxTV00JfJTtx+GREmCUdbXs6aqaWKqqrj5XcyQSyqrkynTqTh0LXyfpefRrdUI41go8ZKUhStozyvfp4QtcrazDH/gUn6aF+7jCZPlktlKiDFWvk+Sm/KO7+74YHubLMso5gFTD3kcmuML6CAwmM/F0L7TEfL0bpfltSNad5vttShDrer/H7vHX2+/+Zs8s8gd2w9rAPyff/7//duQvL+zxeJmOuXs/p7PHj/G1PITRE7ZDOdCyTM5GbG984ikpNDYrKEpCu9vb7kej4nimLkr4k+TNKVimrw8P+fFzg6GqhLGsVB9hMkarFaQCuLEWyhgahplw8DxPMqmyaONDUq6jtoUrQ/v0sHvC1ntftsiWoZMXt4hmQrBYIX9pCHCk64cpJJCoSCQ4Lqq8qzX44uzMxqlEs96PZRiUTy4l/O1akfrlLCDhNefH3Ow2aHyYUuk6e1WyZIU92zONH8oDzY2eHl+zn/5/e8TJQm/ODvj4709DFXMvfo3IxpzH6Wqs3g7RrIU/P6SYClEA9alwCd8tLtLfzoliMQg9OHUG4491KaJ43nMXJer0Yi56/Jkc5NPDw7QVRXZVglHgjH18vycF9vbrIKA6Uq4mquWxW8+eUJrq0HncGOtzordCP9uSTDymK5WePdLlLK4Td1djbgej2naNmEcc3J/jyxJNKpa3rv3SdyI0m6VQgH2JybbC8Ggen19jRdFHGad9fzFC0MuR+I0bhsG5ZqF/UFT4MbLohUjmzLe7ZIfP3nCeLHgD16/5vnWlpD5FgrEy5CbiwHFQuEvFP7dVovDbhd7V/gw5hc3xMd9muUy9q440CRhgn+/Yn40RpElmrZNSdexDYPx+TlxmrL0fdww5G42YwuB4wgdn3gR0D8b0m6LwhYtQo6ubxnM58xdlw93djA1jXdXN3QWVdqPWmL477qMHIe72Yw319d8tLODKstCJbexsU7sKz2po81MWn5M/2zIdZLw1cUFh50OaZKSeDFBHOMGAVGS8LOfvUJXFDRF4XCvRzjzKe3XKEhFtBOVnWqXyeUUu2zyJ798S5oKtdPS87Dyz6UzXdKs6ZSfNtE3hLQ5yzK2NIUwjnl1dcXjbhfHddEVhaZt53ORKsaGncfwfjsrg7/RxQL4nH+dVPvw3xlw8Fe9wHe2WFQMg2e9Hv3plMNuF23DFK5UJ8C/W5LFKW4oshCU/EOTRgk7YRM3EAM6TZZZLTze9/sYqkqUJLy9vsZQVXRVxVRVLF1nXxL472jmc9+fcDebscxvFW4YcrCxwdx1uZvN2Imb6JZGfzrFjyIONju5vDVAMpVvAIEldS2dTZOMQqGAOvwm2euDrS2+vrhAKhYJWy2Kr4uoTYOl71NeBEiWQhwlYuMOY5xX4nX1poRaMwjuV8jLIlneHouShIXvM3KcdUsjzU+bm/tt1JohcCBBwvhuJk59QYAXhtxMp3QRn7pFPsy/n82QikVURaF+2BSbe26+OxsM6NZqfH15yQdbW6LdQBfNFAqsB6SJGwR8fXnJx3t73IzHlA2DglxYK3zIxFB62p+hKQpBFDF6N6S+UyMNEsqGQbtc5tXVFc+3trANg4HjUAsrpHEiwn4uHKHmKRRYDpcMHYc/wkodAAAgAElEQVSL4VDQhSUJx3VZ+T5hHPP+9paNapWtnTZplApfQY52cd6NIc2EcGKzRBaJNubzrS2+vrzk0Ua+cU/ETTPLMl5dXfHx3h5xknCYD2PVhilaW3HMTrNJaVO4+EXORMDqZMokV14N58IA6oahkAhHEW9vbvje3h6tcpksT+kjTVn2haKN3FiqVHQO2m1UWWayXBLGMZfDIc+2tmhs1lCrOqmfcLCxwdeXl8Rpykc7O7hBwGa9jqlp+FFE/dkm8SIkHHtMrqfUt2o0SiWSRKjewjgmSlOUWPiXdppN3t7csNtq0a3VUDUxm0qjlCzJ0JoCKpilGU1NMLSe9XrcTibr25Kp65jVnMRQM4R3w42InIDBaIZtGHRrNXRFWc/QHnU6tMpl1LqOVjdRbHUduvVtrG+JOvsfbGVZtv/v+xrf2WJhGwZDx0FTFEaOgzExIMmYn00xaybD/gQvFFykaL7COZtS3qtSWUbst9sUCwW+PDujbJqoksTXFxd8vLeHpWk4nsdmrcZ0tWJ3sy1uLEUxBMyyjEcbwqC102xyN5utT+rT5ZKKaZKkKQPHoVevEwYRWZKxOBpTVCQCP0QbuWg14dy1tit4gxXjqwkDx2HkOLh5pkGcptQsi2KhwM1kwpYqCl3shKRBwshxCOKY0/t7evU60tkMSZMIRi5pnKIpCo1cSTVeLFj6PpauE+dpZCPH4XmvR2UoMiaUni0G6VOdeq72Gi+XvLm+xtQ03CDAUFXiJKFh21iaRpwkuBcO8Sqi/biNf73gSbeL43l8sLXFV5eXfG9nB7lYRK0byJJEGEU4nsfXFxd8sr9PzbKoWRb38znFsyKNYYnyhxIU86yHOOZuNsOPIgbzOaWxQRhEHPf76HmRv51MeNrr0avXMbaEGXNxNMGf++j5TMfuCNxHp1pls17n5fk5H25v867f53s7O9iGQcUUvpCiXEQpayRBLGCVclHgJEoqWttiMhH/TkPHIUkS0feXJAqFAp1qlX/8i1/w8e4uVcsSUu6GidowRHyoXCTMC+b96ZBazUZ6UCgpEr3dNv3LIXpeIIMoopB/XovF4rq1d3Fxxy4dCi2TNMsIoojV1MW/n7Fx2MbYtKkGwbqgfS9vbSbLiIIsDhJR7uf5eG+PqmUJiW/NoFzVoQhpkBBOPPrnQ2arFSVdx/E8LoZDzodD/s5HH2FYGhfXA9I05f3tLS+2t2nYNqWtMkpFJ5r7GN2SCOUau4Qzn2gWECwD/FCg5B9Mk0mWiVsaHWRLEUqzswlZkiFp8jogabvRWKvCDjoddvJgMaWik4YJy/MZpb1vUTqLwOD/TV95gul/D+xnWfYPfm3KQ5xwx4sFfhSx1xYnwXDsMXAcylHEXa6oyOKUcOIxmM/RxxpyWaVdqJBmGYamMXQcXl9d8fH+PoVCgW6thqGq1DYqpHeZkHUqkhgq1wPqAwvZUqktSmy2GpRNE1mS+PzkhO/v7+OFIbZh0KvXeXN9Ta9ep3xbIwtTBlcT2o9a6JslvHtBXLUP68RLkY2RpCnPej3uZjMMVWXl+3x5dsb39vbEDMWLWPk+k4mDoWkUCyI3fL/dptoqY+5XiZfCN3AznTJyHNHz9oTCZua6/OLsjO/v71MxTUqaxsx1RZ+/IjIAFFslDWJSPxFGsDgmiCKcXPV1nIsDju8ETrximlRMk41Vle2/dSAGuFMfNYqEHj9JGMznGKrKdkUXJkpN48vTUz45OKBWKtEoiSChsmlid23Umo6cp+yVHlVRhhr1icVkJeSZkiGjZBmmpvH15SUvtrepl0osPI/d3Q56yySY+mRZxsr30ftLwaSq62wW2lTvLabLJR/t7PDl2Rmf7O9TsSykQkFsxm6E3LaEnPpihncu/CpeGKKcT2hoEs1uTfwbFIvczWaMFwtaZRHp+vbmhiRJWPo+vXod2VAo6hLR3GcwEGbNIIq4zoGMsiX4YGrDwNwTcMXWPB96ezFRGDNZLDjIDylBFHE/nwtn/MyjoBYpb4rv/bCRBv0Vs9UKVZZZeB5JkpBmGVfjMY82O6zOZmuj5cMtM0nETVVZCCWV1jTxbhdMb2bIxSKT/GfUFIWyKQqUIsuMx6LleTka8dHOjjB9qirGIsToiix1xdZYXTss3k+YOcv13GPp+9RKJUxNI80yTu/vaZfLXI/HPNLVdTJeOPPp34wYOA6z1QpT09Zts6op/BlKRUO2VBbHk3XMwLe2/obPLP7c+t/4xpT3D/i1KQ+KxSKyJLGRn4bSvGeqSNIaDS49uF77E6arFeqduOp2qlXKhsHdbMYXp6f8xqNHTBYLNqpV3CBg45FQmVT9WORhbwhonOqbWHsJZBntRRmtY8EAqkuL7+/v82fHxzzZ3Fw/gEEkcNTepRi+bW23kS1VmMDuV4JzFKcoZZ1WuYxcLNLYrGHrOm4YIhWLfLS7yxcnJ/zXPxChXN1ajbc3N/QaDU7u7ni+tUUYx1gHVbS6iXe3EL31YpEn3S5uzrCauy5hFBEnCTfjMaoss1Wvi0JR03DejCm/aJGGCfOjvzjEf2hVfH9vj1qpxFXuWG+Xy5j57aK+U8O7cQhGHje3Q2RJQlcU0ixbby5JECMXiyxcV+RgZ9laINAslzGUhwS9HIjnxazO50ynC8b5/MVUha+iWCiIbI5YEF27tRr1dgUKol+/PJrgTMUGD4LWqtZNJEPh5kTE1CZ5ayHJMuar1Xo4/7RQEKqrDIqyhNLQKScJw/mcimEIim+UMpjPuZ8JamrFNDFUFccTORAf5AXM0DTOb+7Z9hsoNR1L0zjq9wljYeo7HwwoLwzqY5uq0sI+qOV54CITgomPUtWQi0IibGra+mCyyIfMh7KEdVDFXBpsh421QvB+Pl//veKcvbS/sSGS6WYep4PBWhL6UPxtw6BqWTRXNhuKxPByzMBxmOe0gsF8ThDH6+KSZhnT1YqT+3uxcVsWm/U6elWHYiHns1lCxVfWsJ/U0aYm9bm4WXhhyD97+VIc+LIMW9fZ39igZdsoNSHxpSCCk9pN8XwuXHfd4jQ1gTIfHg1o7jUoahLhxENrm+tgrG9jPdzCfgXWr015/+qK8odNkeV1cQiiaK0TN1R1PeB68Cu8yecRSs5wWnjeug3Sq9dFC6JtoW9Ya5KqYqtC+pdl6E0L+cH0pAkMwsJxuZ1MmK1WfHJwwM+PjrB0ncvhUCikajWO7+7o1QU3Z3Um5J6bB22sXZE3kaUZWteik5qkYSoYV57Hq6ur9Yzg7fU1H+T6961mk69zEOJ0uaRXrxMMXRHaU9YEOXYsHlZ94uGpKuPFgs9PTnja67HXbhMnidDi6xLL/oLpakU5EyqgyuM68qnQzEdxzMVwSBBFDB2Hl+fnfHpwwMhxhLpG09Z5EqOv7xnM58xWK6ZLcXqM8xbNKp+XGKow9D0U03c5n2vkOFi6zqbvi7wJRUJvmZQe1VBGGtWRxdLz+YPXr5EkibJhYOab4MMts1S3MPeqKLaK3i3hOh5uEHB/O6HhhNgfSMSu+N6vr66YP3CQ4pijfp+6ZQlERZKQxTlb6v2YcS679cJQeGHuVihVjaZtr1sy48WCVqVC2TB41OnwT37xizXPS0AaTews43I0wtQ0aqUSNcvC0oUZUq3rqBWR2U1B+IiWR1Nu78fIkkSrUaFZLhOn6fpg8vc++4yKaYp0wnnAYDAlzSWys9WKqmXxy8tL2pUKSZLQq9exNA3ZVpFShf2kzf/1J3/Cp48eYes6hqqui39rV3hMWjsNKiOThe8zmM95eX6+Fkz8xqNHSEWBUolikffx0BrWlvIaVdIYCBmz1hAKQcmQCe5XYh4TiDyYPzs54QePHtEql6mYAocSLyNcR4giGqUWasNgJ2hSNgzqts3L83M+2tkhydEj9sgUdAEnYPF2jLld/tb2m1+VNhS/NuX962v9UH75Jd/b2xMn57xlcnJ3x8SyaK7K7H26S8U0KRaLOK7LzXSKoWliiK0oXI3HJGnKdrOJ2bQwemUoFNCbVp7I5bJ4NxbmosO6iDKVi2hNk9iNaOzWeZ73XO9nM9Is4+uLC35weCjCa8pCPfW+3+dx1uFuNmOzXhfqKrn4TRpc28J5Jaitw8WChefxYnt7rdRZeB4poFZ0KoHBk81Nvjo/53v5APX+eMDGYVsMA/N5w9LzucmRDUma8snBAa1ymU61iqLKRGHMYuZwm8uI3fM59vMG+obwgcjXwnOiyAKr8fOjI370+DH1Ukm010wTq2mhtS20ukF1GWKMdMzhjE61ysBxeHl2RpQkvM6LXdk0Oex2qVoWPz8+5keHh+JWoaqi378rktzUqo6kK0KcUCgQDFzmrsvjbpeX5+c86/X45eUln+zv07BtGqUSSAUWb0cUX7RIvIhioYAXRTSKRbRu7gUZu4wWCz7Y3mbl+ziexxenp3x6cMBmrUbZNKkc1FFyGqzRs1GOBejOzdVbg/mc/aTNwvMYzGakaUrFslAlCaOsU44iPt7b4+fHxzRtm+/v7wsiKqBIEl9dXvI7z58jS9I6zU+p6SJhzhHSZYDb+zF3M0GXVmWZJEm4HA7F77OM6/FYbP6mwvBoyDxXNgVRhCxJaLLMRrXKFycnfHJwgON5WLpOGqUUCjBdrdbQSU1RMDUNuyTCotSajtG1SYOY5f2SUT5PU2R5fbOxNA1FktY49S9PT7E0DV1VhVdG0zB1HalQoPC+QPFFkdiNGb8bEiUJ725u1hkmaV70d5pNrJrJ1aVQtt1Op/zoxx8It78hRAv1kUi8fGgjfrS7SxBF9EcTtk0Fo1vi/nS4bmF9G+tX6Gbxa1Pev7qMTZvOSObj/X0+Pznh04ODNdJ5p9EgShK6WyKdzqyZDC+ctS7+z46Pedbr8S+Pj/lvfvADapZFtWRRVIss3o6w9ip5WlzA6nzGbLKgCkQtn0SX1w+zWs3T2a5ETzfNtfAvtrepWhaGorBaeIK3E0W87/fpVKuUWiWMTVtEVw5XIifA1jC2bbSVx+NOZ40oL+a3jJKu44ch11cD6qWS4EAlwjti5xTdNBRZyIOLEaPFYm1Cc3Ktfq9eXzuLF0t3LXN93uvRbFcx96soJeGYzZIUrWWyKbWpjV10VeXLs7P1LU2RJJRiEUkT2I3lyQS9UxLZDVHK6e0ds+WSj3Z315uLH0WUcn9GnCSkeWskiCK6tRp7vQ0RWlPRkXWZxcmEcOJj7lYwdytsacKf8KzX48vTUz599IiqZdEolVCrOjcXA9rlMuHMZ3YxZeg4hJEA/gX9FVrDQKlo4v31fVawDt65mUyQikUUSaKXk1QLxQy1qtPaaghPQ6HA61x906vXKek6zXKZs8GAm7H4TGiKgm0aOHmrbbfVwtZ1wiRhvFgwmM+J4pi3uVmx6li0nTI1TV4n20mmwuhoSK1UYug4XI/HomDLMlKxyJ8eHfFZXrStiujX17drFAsFHNcliGPhrB6LW0mcy1I/2NqiXamgVDW8GyFTTdOU436fkeNQtSzalQq9sCZMdqcTZFuj3CujShJSsYgfRWzWavzL42M+PRBqzMlyyVcXF3x6cCBYbXmLcbNeJ4xjOo/agiBb1gnGQno9Xi5FimQYrmGCpVx8sRgv15SB51tbIkNk5uFdOKRJytV4zGa9jheGPN/a4ouTE/6r3/gNWjUhS/bvxK0lcaNvbb/Jsowojr+11/sPtX5tyvtL1up2IRhKeTsqThJ+/OQJm7VafjISKIDVyQxzt8yeXOT6XJxWKqbJH715w8d7e+y1Wix8n+P+HYeZSP66fXlLY+xRKBaY3c0FQVbTCMaeyA7YtFmdTHl3dMpGRQwkC4UCtmHwG48e8c9fveLHT57wp/M5H+/trRUk6zZAScV5O+bi+p7drQ2C+xVBoYC1V6XXFJnI0u2S5WwlYHqqyj/+8kt+9PgxzXIZRZbxIzHsftbr0S6X2WjVkMsa1k4Fa7dKb7jCuxbhPf3plKebm/yjzz9HlWWuRiOO+n12Wy2e93o0WlXGwzmJF8OLJmkoMqJvJ5M1JPGhF/+XDflWZzNuzwbIb4s0OzUq32/z4W6ZJzOfyfUUI2+D/aPPP+fv/ehHnN3f89XFBb/17JmQPNYqGNs20Szg4qdn65nRA168m6QodTHAVKcyJV3nxc4Of/z2Lc97PeE2DgKuRiPCOObFRy3Mkk4ymzF3XWESlIssj6YErjChnQ4GXI3HXA2H/PDwUAQFFQpcjEZsvB/TPxvS3W8hWQpZkrL5wSatmU+9VOJuNuOrC4F7/7OTEz57/BhFltlpNtFtHW/h40cRn+zv84evX/PDw0MUSeLlxQU/ePSInWaT3/rhh4BgnGktk8X7CZP+jJHj0CqXGTgOLz55xKMkIU4S5qsVf/z2Lb/17Bl/9/vfZxUE7G13KB3WWLwZCzqrrlExTSbLJT97/55nvR4/e/+eXqOBbRhYug5SgTe/OAWgVioRxDH1UokX29vr96D8vAlpyuxoTLFYpAjobYsDexNZkrgajWhXKvzx27cA/OTpU373xQtxKzNNSltlinJRtITmPuHUR+/aUACtabLT2GVzJYyVq74oNL/x6NH6vWqVy0R5cb2bzSj/8p6z+3uCOKZsGARRxP/9p3/KbLXiB48esddu0yzbyLbKzfk9/dmMnUZjnRr4bawMfiWKBUCWZW+Bt/+uX/edLRYL1+W436dQKKyvsNvNJpKpcHs2oBM0yFKLye2UpiaR+KJF5eXRpetsA89bEzn9KKI/mBIlQsOPVOA+17r3ZzN2pzr+cEk4C1CqOhuLCu/7fZ5vbtKwbaZ5b/vHT57wR69f85NnzzgfDHja6wk9+oPzNkoIVyFLzyNYBhQk4aPJ4pR4EaL37DxLQUaWJI7u7vjR48f87P17fnh4yMhxAAiiiPe3twzncwqFAluGTJYjLIxNe93jreby288eP+ZfvHlD2TT50ePHbDUa2KaJt/C5nkxo74n3L41SSr0yjVzX/yLX358PBpze37MKAjq1GsViEVMqQ0EM1ItFkeuwPBbJZrdnwlNx1O9z3O/z4ydPvhkqpym3k4kIcdJ15Jl40FdBQG3iIVsKUW5Cu74c0PXrFKQi1XKJSc73ipNkbcgczOcsPA/bMEQkreOiyrKAQmYZk5lDvV7mdjJhr7vBQbtNxTRpl8v89N07fnh4KHwyzaaIufU8kWXthNzcjegFTWIvWs9d/uDVK6I45sdPnuAGAc9bLap1G2OzROG+wIf5e/bDw0N++vYtiizzk6dPqZdKNGwbrSH+ngWpSFGWMLdsikqRwiW8u71lu9kkmvlYlsF2s8n729tvWjWtljgUNQyyOCWNEm6mU+qWJVqMskzZMPjjt2/58ZMnKLJMvVSiZBkkofgcXo/HdGo1ojimpOvCQd3v02s0KK0i9LaFvVXh5efv6dZqTM5WbO632ayJG8zS99c/W5Km60JRflQjnodIVTGXuLsd02pUIMe2OK9FJo+xbYto1ZbJi+3tv/B6v/38OUf9Pp8cHNCt1bibCjJAo1zm68tLmrbNYDZbGyP32m3UpoFsa3T8BmGS8Cb3enxbK80ywl+RYvHXXd/ZYlEyDA67Xf7hH/4hP37yhI1qFUvTuLkdMl4uUWWZtq0yWS4pT8T8oVsTLu6mbdOr1/mDV6+olUosfZ/7+VzwaXLa50O+QMU0hfmrWUWpaoSzgOHRAF1V0W2Nnl8TJ5mdDXpBHUvXWXoeP3n2jD96/Zq/9eKFkJ/GMZYmTn5pmAoare8LI9Vc3Ezkksr4fkZlIZhDtWctsjBlL2nxh/kJ+Kdv3/LZkyd8cXrKhzs76xnE5kYDSZPw+ysWS1f4JnLcgTSTmY0Xa/bPhzs71EslqpbFbLUSJkXXJZz4qPWA2ZsRqqFQsoTxsaTrXOWu94pl8bjbpWnb2A0RqpRl0OzV+ZM/e8VWo0FxVqTbrqMrCpejEbV8cBzG8TecozSlXalQK5UAcc3PQPhCcpBhuVcmSRLe9/tIxSJeGNKuVFjlt4go19nfTCac3N2x02yyWauRxqIYTVcrHnU6a4+BrqrMXBfZVjF9nZscGPnwvn5vb4/Nep3ADVkGAYEbrj0zVctCVxRUWeary0vcIOC3nj1bI8grpolSVpm+G2H3yqx8MS/qT6eEccxnT54wd11Kuax69n68JgJLeu4pmQt10HaOqO80ariuj+O63M9mJGkqJKZpymS1oqlu4A9WGNtl6mG4Ju8WCgUmyyU/PDwkyg2BrVoFtWmQ+DFNt8xgPufL09P1Z+LV1RXPej3SNBW4kjhFqWhr9d1uq0UaJCg1nWpkrSGUXo4LeXN9zQfb2+gDjdv+mM1uA88Rz9Xmfpss+WbGejeeUg8EBaB52CROEvrTKdf5/DDM22h306lwZpfLSMUiL8/O2Go0+Nn796Lw2jamrgt5ckmEi2VRwuaqSgF4dXX1re03WZYR/LpY/GquNMsYOg5R/sHabjbXCqKHh5cMFr7PcCz6xNs7G1i5vn28WPDbz58zmM+pl0q8PD8nzTI+3t2lYdtkScpothS4C02jFZaJZgFKTRcY536fxqKEG4iUuMSLae43kS4mjBxnncl9P5+zUa2u1UQN26Y8gf5stkY3zFyXimki34lN8n1fxMSmcYJsq1SkMh8ud1h6Hp/lt5bf+eADurUavXodu2yi92ym70XrqFUu4/dXyG7E+HqKpihcjEac5CytLJdgjhwBflv4vsA81HUSL0bRZZE9vdmmpOuMcwdwkqb4YchkuaRVFkE2zuuRiFWt6dRtm1dXV7QqFWRJwgtDBvM57UqFTw8O+Bdv3vA/dLuUdF3gOe7uCOMYdXsbwxVgxsvRSKQFGjKypVIqm/QC4VnZbbUwLFFwH3IQgihaCwrETcmgIBWpN8UG8+72Fi9HUCx9sfFGUx+zrLMbNbF1nV9eXRE+nLDztubS8/ByUOCDh6BQKKArCook8dnjx2KwbttC6bRbZXwyYuQ4qJrCTrOJpiisApEw6HgeH+XF3SjrfPX+nMedDtqGQMGkfoLRs2n6MUd3d0Ip5Pq87/dR8yFykopQqaXvc7CxgX+z4G4wodNp4IbhmiigSBJm7qH5aGdHGO12yrl82KAyEcFMxUKBrUYDgJHj8Co3gbYrFR4pEkVVWt+si4UCw/6EMEno7bbRJvL6hv6QCBgnCW4O9rM0jbnrsvQ8xlcTWrpMQS6gtU2MxYqjuzs61SrT0wmd/BDXqlTYajT457/8Jb/74YcC+GgYlA1jLa396du3/OTZM2qlEnXLEuFPNZPxuyHV3doamxPm6qxva2VZRvgtvt7fxFX8q//Ir+ZSJWmt8lFlmdlqxc1E+CluJxMcz2N5Iz60b66viZKENE4pWeKD9/HeHlKxyO+9fMnQcdioVJgsFpwNBjl63OPs/p7Tuzu6tRpIBa4u7/Fvl+gVnWa+MX51eYmhqlzeD4mmYvO3DUPwiqKIpm0LXk5+KikUCkKBksdsDh2HX15eosryuiX2YFCKxr4g4sYpK9/ndDBYQ+Sux+O15l3SZGbvRxi2vg74WSxdgqHLYD5HylPeLF0XiOck4fXVFVejEeeDAXvtNlXLQtJlvEuH23tx6vXy3ILTuzu+Oj9f5xs8bNbv+33uZjNObu8Ixx7dapX9jQ1O7+6YrVYokkS7UuHnR0f80evX/ObTpziex11+St5ptQTg0DRxlz792QypIG5z0cRndDSkaIjvt9tq8fXlJe7Sp2KaPO52+eHh4RroV7MsNFkmTlL8mwVZxlrlE+UtwPuckzR0HIqGTCH3ajyA+oIo4qvLy7UCzY8ibMNgs17nF+fnTJdLpqsVuqJwM5mw9P118VhezgX+3HFYrgR998/foh6kqeVaiSRIWLiuuHVMPMbvhtwd3+PfrUgRuRF+Li/WZJkvz86+cStvbPBie5vNWo3zm3vu53OWMzHQfXhv31xfi6yS/GeNkgT3Ys7t2YBw6KKVReuuXirxR69f87P379ev+6zXY7/dRm0I/pabI1+mqxWv8+coCwU65sFjctjpcNjpYOs6C89julxyO53y6uqKnWaT+laN2AkYvxuS+gkVW4g/3l5f8+72ljCK6FSrmLlPJc1hibP8ey5zefLDTCqMY97d3nKbK8XSWLzvw9MRwxOhCrvPYZTf1kqzDD+K1r++i+s7WywWvs90ueQ3nz7l//n6a+5nM/706Ij9dpvdVoswjjnu9/n68pKdZlP0cisaRVUS2PFGg/2NDX73o4/4J198wR+8esWHOzs86/XEvAJxmvDCEFWWWbk+t9Mpi6WLM15i59df1/d5dXWFIkmEXsTcdXl5fi4e7ty09PPjYw42NkQwfSKc0Zv1OvsbG/zi7IydVguzLE5QvUaDV5eX4lQ2WXE1HjO4m4r+exTx+199xe988AEf7+1xsLGBrev4c3ECHQ5nYrPKoXgPJqrL4ZAwb5d8vLfH7718SRjH/PTdO55sblI1TcqmgXctMhsuhgLtsAoCbF3noNNZM450RWG2WjGczynpOq+uroRCKhMIZz+KWAXCkT53XY7v7uhPJvz28+c0ymXh2LUs0nxmcTedEuVzhTQVsa1RknByd8/NZEI09cmAID/xP2j3l77/F9oWr6+vmbkuJ3d3zFcuruNxPhxyMRzi5Q70L05OhOGrViH1ROHbajT4aHeX3/ngA37/q6+wdR0vDMXPkBsjDVWlbBj8ybt33M9m/N7Ll3y0u8tWo0FJ1zm+u+Po9pabyYS567IKAt73+yIzJU0JcvDfbLXi8mbA/WSG43moskwaJNxOp1xPhIlw8ec2uqN+X7jjq1V+/6uv+O3nz6mVSnhhiKFpqLLMYD4XMEvDYLfV4ouTE5I0/Qt/xwJweivwLt7MI16ELHyfq/GYz548YbJYcHp/v+Z9SbpMQRK4k26txsHGBr84P6dZLq8FHetEvVz5JOeok/50im0YvDw/Zw3qwIcAAA/2SURBVK/dxjYEc+z6csD1ZII7WqHWdLq1GiXD4Ho85t3tLYscyLnbavGfvHjBP/vyS/706IggirBNk4ONDT7e3+cnz57xB7/8JbauC7k0cHEtQqveXF+T5c9tmmV4QfCX7Bx/vZVmGX4Yrn99F9evTBuqUCj8F8D/DEjA/5Fl2f/0b/rztq5zsLHBxXDIbz57xj/78kv+808/FcllxSJvrq/XgLGKaYoT0ukQgPPhkL1Wi4ppMl2tSJJE+Adsm3alsh6UqoqCGwTMcxnkdLnkfDhch69ULYunvR5uEHA2GKDmG6mpafzTL7/k7376Kc1yGUvT+Om7d/zk6VNGjsPBxgZKvvmvgoCx4yDpMqu5u2Y4eWEoTobzObPlkk6tJvrLuTrmfjajadsCL6Lr3IzHxEnC2f09H+/tYRuCw7RRrfIy92N08yjZOE35p19+yd/5/vdxPBEKtHA9Jsslk+WS/nTK9/b21k7yMIpoVyrrwvrJo0foioIkSSK/w/dxg4CL4ZDL0YhVEBBGEeX8hhXnRdNQFK5HI37/5Uv+s08+YSOPOi0UCoS5+EDO4X5n9/e82N4GwHFd7qZTVnmGuixJbDUaaIpCu1Lh916+5Hc/+ojBfL5Gi+y0muthrKmq/PHbt/zO8+dUTRNn6VJYwsVoxE6ziaGqIswnf183a/9ve+caG8d13fHfIZfLXZJLcvmQREmERJWGYlmqKEVIbTV+xPW7QowA/WC3KNKmSYCmKdoUbWHDQNF+y+uDEbS1YxQu0sLNo25aB4IdwQgM5SFXLinXpiiS0uq1XIkUueSSy93lUnzcfrh3RytV5IriUktS5wcMdubO7Mx/zs7smbnn3nPDpKamuDQ2Rq3LF3VPSwvlZWUcOXGCJ/fvZ2tDA7XBoO3ENzvLueFhkpkM+1yfis7RURpragi4joN+n22scHHYjqG9rbmZUDDIZZdwcjCRoCkUIlBR4cXWjDGkp6c9bTNzc/REo7bJqbN3LtV3bTBIuLqa9pYWftXX5+WrMq4j4GAiYWMKdQGmxm1z7uzMDL/q6eG3OjpoCYdpCoVsh77Lw2xjA3PZWU4NDFATCDA1PU0ilSJdV8eVXPqWpiZm3Qh8WxoaCPj9JDMZemMxDrS3A9bGNYEAvvJyroyPE3JVfdWhINubm/GXl3tv2ADnh4ftG+L8PDs3b6Zt40ab8NJlBEhmMkxftSMJtoTD+MrLiY6MeFVuoUCAiYxt3JAuorMw8/NFdT6rkTXxZuF6HP4D8DSwC3heRHYt9p0rExPeYDlHurp4dO9eGkMhL22G3+fj/f5+6qqquDo7S9+lS0y7nq2x0VHG0/bVfX5+npnpacZSKZv/JpWiZ2DADozknmZ7YzFm5+fZFA5z4uxZKly+naDfT0NNDcf6+ryUCPFkksPHjvFYRwfNtbVsqK1lNJUi6570czf45bExLsbjXsbTxOC419Y/19s5kU7TXFdnHZHPNhl9cPdu3unsJJG2zWp7YzFGJiepCQTojERo27iR2qoqhicmSE1NeR3JBuJx/OXltNTX075pE491dHCkq4uE+7OZmLLO4oNIhO2upVBu0J6cPXKOtcLno8wFnCfSaUTEG8+80uez+atSKU65WEDO7rPz87zT2cmDu3fbcROqqykrK7PpL+bm8Pt8jE5O2jTh6TTReJzk1BSzc3NUuyf+UwMD9MViNhV5TQ1NtbWeExsaHycyOEhZWRnnhq4wkcnQd+kSR3t6vOaxfp+P3ljMs8lEJkNFeTkh1yQz1yw512R52gXl/a7X/9zcHIl0mr5Ll4hPTnp9RDbV13tvYzNzczSFQhzr7/euhR0uhX1lRQXHz5yxzXlFGHdvPJtdv43k1BTd0Sjj6TSjk5ME/X52bNzIo3v3cqSri3KntayszIunXBwZITk15fUT2dXa6jVzvjA8zIfnz9MSDtt407DtYb+5vp5PbNnCtKtSCdfUMJZO0xuLEaioYGh4jDNDQ4gI/336NPe1trK1qYk5Y4iOjNAXi1EmQjaT8a6HeecUU+6t/6MLF6j0+YgM2XE5Euk0PQMDDIyOMjSSoEyE+upqjp85w1gqxejkJBXl5Rw+down9u2j0Y0Fksvf5vf5bCLM+XnvmMYYaquqqHcPhMPuvrmcSHjxxGIwbwyZbNab1iNr5c3iU0DEGHMOQER+ADwLnFroCyejUULBIDWBAJlJ29JnxtVlBvx+RlzCsYlMhjHXGarGdRgaHBtjczjMeDpNbVUVM1ev2k9XT5prRx7w+9mzbRupbJZTAwPUBoM2fbRrqVFXVUWwspJ0NktdMOilkp5x1SVVlZX0DAywrbmZSp+Pdz/8kMf37fM6SZ2IRPjMnj001dZyYWSEy+5Jtr2lhWP9/fz6tm2EgkHiySQTmQzzxvCTn/+cQw8+yAbXFv1iPE6oqopf9vbS0dZmRzpLJokMDdHuOp/lEsqdHhyksqKCCp+9LDLuzyiRSnlVEONuNLKh8XHPCUTjcS+VRWZy0nuiTmezJNJphhIJb2yM1qYmRISjJ09y4J57OHL8OIcOHmSDG0zq8f37eevoUT73yCNMZDKUu97tgYoKAn4/hzs77dgWO3dSHQhwxVWjtTY1cV9rK93RKJ9qb2d0cpKBeJytjY00hkI8uncvb7//PocOHqTHxYCa6+oIV1cz5dKO5FrtDI6P24yxLjVJrjprZnraPkXn3uqSdhS+rY2NRIaGPJvVBoOe3bNu+NvpmRkS7qFgaHycuqoqdm7ZQl8kAkB1IECvc3IT6TQjSZsvLHv1KvHJSdLZLBfjtllpKBDgve5ufvehh0ik014wf8Zl/U24pIblZWUk0ml2+f2kslkG4nGyMzO8dfQozz78MIlUynujBeiORmnftInBRILWpiYSqRQzLgAfGRwkNjpKR1sbE66zZks4zC9OneJAe7uXVDKeTFJVaQfCqg4EmLl61Wuw0BuLsbG+nr3bt/Nedzef2bOHyakpRpJJW8Xa0EDn2bOMJJPcu3Wr19gi5dK1zM7Pe9obQyGCfj/d0SjbN2zgwvAw4ZoajDFkXaLCRCrFUCJBQyjEL3t7+fS993rnFgoEmMwULzfU3OwsE+73Wa9IrsftakZEfgd4yhjzRbf8+9iEWF/N2+bLwJcByuGTW0qiVFGUtUYUuowxB5azDxH5KdCUVxQ3xjy1PGWri7XyZnGzkdWv83LGmNeA1wBEZCQKaWC1uPomVo8WUD2FWE16VpMWWJ96ti1XxHpzDDdjrTiLGNCat7wVuLzQxsaYZhHpXO7TQrFYTVpA9RRiNelZTVpA9dzNrIkAN/A/wD0i0uZyrz8H/KTEmhRFUe4a1sSbhTFmVkS+ChzBNp193RjTU2JZiqIodw1rwlkAGGPeBt5ewldeWyktt8Fq0gKqpxCrSc9q0gKq565lTbSGUhRFUUrLWolZKIqiKCVk3TkLEXlKRPpFJCIiL6zgcVpF5D0R6RWRHhH5M1feICLvisgZ9xl25SIi33G6PhaR/Xn7+rzb/oyIfH4ZmspF5EMROeyW20TkuNvvD3MDs4tIpVuOuPXb8/bxoivvF5Enl6GlXkTeFJE+Z6MHSmybr7nf6aSIfF9EAnfSPiLyuogMi8jJvLKi2UNEPiki3e473xGRmzU3X0zLt9xv9bGI/KeI1Bc654XutYXsuhQ9eev+UkSMiDTdCdsoi2CMWTcTNvh9FtgB+IGPgF0rdKwWYL+bDwGnsalIvgm84MpfAL7h5p8B3sH2GbkfOO7KG4Bz7jPs5sO3qekvgH8DDrvlHwHPuflXgT92818BXnXzzwE/dPO7nM0qgTZny/Lb1PI94Itu3g/Ul8o2wBbgPBDMs8sf3En7AA8B+4GTeWVFswfwAfCA+847wNNL1PIE4HPz38jTctNzZpF7bSG7LkWPK2/FNmq5CDTdCdvotMjvVGoBRT0Ze0EcyVt+EXjxDh37LeBxoB9ocWUtQL+b/y7wfN72/W7988B388qv224Jx98K/Ax4FDjsbox43h+AZxt3Az7g5n1uO7nRXvnbLVFLLfbPWW4oL5VttgAD7o/E5+zz5J22D7Cd6/+gi2IPt64vr/y67W5Fyw3rPge8cbN7KHfOLHCvLXbdLVUP8CawF7jANWex4rbR6ebTequGyv0p5Ii5shXFVVPsA44DG40xgwDuc0MBbcXS/DLw10BuyLFGYNwYkxu+K3+/3jHd+gm3fbG07ABGgH8WWy32TyJSTYlsY4y5BHwbiAKD2PPtonT2yVEse2xx88XS9QXsE/jtaFnsurtlROSzwCVjzEc3rCq1be5a1puzKJgWpOgHFKkB/gP4c2NMcrFNb1JmFilfioZDwLAxpusWjreiWhw+bLXCK8aYfdjUK4vFj1ZUj4sFPIutRtkMVGMzGC+075W2TyGWevyi6RKRl4BZ4I1SaRGRKuAl4G9utvpO61Es681ZLCktyHIRkQqso3jDGPNjV3xFRFrc+hZguIC2Ymj+TeCzInIB+AG2KuploF5Ecn1p8vfrHdOtrwPGiqQlt/+YMea4W34T6zxKYRuAx4DzxpgRY8wM8GPgIKWzT45i2SPm5pelywWFDwG/Z1ydzW1oibOwXW+VX8M69o/cNb0VOCEim25DT1Fso7DuYhY+bGCrjWtBt/tW6FgC/Avw8g3l3+L6oOU33fxvc31g7gNX3oCt3w+76TzQsAxdj3AtwP3vXB9o/Iqb/xOuD+D+yM3fx/XBzHPcfoD7F8BON/+3zi4lsQ3wG0APUOWO8T3gT++0ffj/MYui2QObEud+rgVxn1milqewKf+bb9jupufMIvfaQnZdip4b1l3gWsxixW2j0wK/UakFFP2EbGuJ09iWGi+t4HE+jX2d/Rj4Xzc9g62z/Rlwxn3mLljBDuB0FugGDuTt6wtAxE1/uExdj3DNWezAtgSJuBu40pUH3HLErd+R9/2XnMZ+ltFqBOgAOp19/svdwCWzDfB3QB9wEvhX9+d3x+wDfB8bL5nBPu3+UTHtARxw53YW+HtuaFxwC1oi2Dr/3LX8aqFzZoF7bSG7LkXPDesvcM1ZrKhtdFp40h7ciqIoSkHWW8xCURRFWQHUWSiKoigFUWehKIqiFESdhaIoilIQdRaKoihKQdRZKOsasdmBz4tIg1sOu+VtpdamKGsJdRbKusYYMwC8AnzdFX0deM0Yc7F0qhRl7aH9LJR1j0vL0gW8DnwJ2GeMuVpaVYqytlgzY3Aryu1ijJkRkb8Cfgo8oY5CUZaOVkMpdwtPY1NK7C61EEVZi6izUNY9ItKBHZjqfuBruUyviqLcOuoslHWNG2/5Fex4I1Fsptdvl1aVoqw91Fko650vAVFjzLtu+R+BT4jIwyXUpChrDm0NpSiKohRE3ywURVGUgqizUBRFUQqizkJRFEUpiDoLRVEUpSDqLBRFUZSCqLNQFEVRCqLOQlEURSmIOgtFURSlIP8H0pudv5vAIjAAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create a model grid and set a topographic elevation field.\n", + "(mg, z) = read_esri_ascii('model_grid_steady_state_elevation.txt')\n", + "mg.at_node['topographic__elevation'] = z\n", + "\n", + "# Set the top and bottom grid boundaries to open.\n", + "mg.set_closed_boundaries_at_grid_edges(right_is_closed=True,\n", + " top_is_closed=False,\n", + " left_is_closed=True,\n", + " bottom_is_closed=False)\n", + "\n", + "# Plot the elevation field.\n", + "imshow_grid(mg, 'topographic__elevation', colorbar_label='elevation (m)', shrink=0.4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Create a grid field of air temperature at the land surface\n", + "\n", + "We set a surface air temperature at base level (upper and lower boundaries). We use a lapse rate to create a surface air temperature field at all nodes of the grid. The lapse rate, *L* is modeled as the decrease of temperature, *T* with increasing elevation, *z* as\n", + "\n", + "\\begin{align*}\n", + "L = -\\frac{\\delta t}{\\delta z}\n", + "\\end{align*}\n", + "\n", + "We use a constant lapse rate of -6°C / km." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Set a rate of temperature decrease per meter of elevation increase.\n", + "lapse_rate = -0.006\n", + "\n", + "# Create a surface temperature field.\n", + "temperature_at_base_level = 26\n", + "T = lapse_rate * z + temperature_at_base_level\n", + "mg.add_field('node', 'land_surface_air__temperature', T)\n", + "\n", + "# Plot temperature field.\n", + "imshow_grid(mg, 'land_surface_air__temperature',\n", + " colorbar_label='surface air\\ntemperature (C$\\degree$)',\n", + " shrink=0.4, cmap='bwr')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Setup SpeciesEvolver and zones\n", + "\n", + "The general workflow of working with zones and zone-based species using SpeciesEvolver is\n", + "\n", + "* Intialize the SpeciesEvolver component.\n", + "* Setup zones and zone-based species:\n", + " * Define a function that identifies the grid nodes where all zones will be created.\n", + " * Intialize a ZoneController that will create and manage zones.\n", + " * Populate zones with species.\n", + "* Introduce species to SpeciesEvolver so the component will track them over time." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Initialize SpeciesEvolver\n", + "\n", + "This component requires only one parameter, a model grid." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "se = SpeciesEvolver(mg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "View `record_data_frame` of our SpeciesEvolver instance. Time and other model variables are stored in the attribute that is a Pandas DataFrame. The first and second columns are the row number and model time, respectively. We also see that 0 species exist. We have yet to introduce species." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
timespecies_count
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" + ], + "text/plain": [ + " time species_count\n", + "0 0 0" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "se.record_data_frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### About zones\n", + "\n", + "Zones help to evaluate the spatial aspect of `ZoneSpecies` macroevolutionary processes. We must create a function to map all areas that meet the qualifications of zones. (In this notebook's model, we will create a function to map the grid areas within a temperature interval.) Attributes of a zone include `mask` that indicates where in the grid the zone exists and `species`, which are the `ZoneSpecies` associated and extant within the zone.\n", + "\n", + "At each time step, the spatial connectivity of the zones between the current and prior time steps are identified. For example, consider two consecutive time steps where a zone in the prior time intersects two zones in the later time. This type of connection in the zones of SpeciesEvolver is referred to as 'one-to-many' represented here\n", + "\n", + "![](images/zone_path__one_to_many.png)\n", + "\n", + "where the red arrows represent zone connectivity over time, and\n", + "\n", + "   zone*t*: a zone in time, *t*. ('the earlier time')
\n", + "\n", + "   zone*t*+1: a zone in the time following *t*. ('the later time')\n", + "\n", + "Behind the scenes, macroevolution rules are programmed into `ZoneSpecies` that are evaluated considering zone connection type. The outcome of the rules given the connection type are described in the table below.\n", + "\n", + "
connection type
|
graphical
represention
|
connectivity description
|
macroevolution implications
\n", + "--- | --- | --- | ---\n", + "one-to-none | ![](images/zone__one_to_none.png) | zone*t* does not intersect a zone in *t*+1. | The species in the zone of the earlier time will go extinct. \n", + "one-to-one | ![](images/zone__one_to_one.png) | zone*t* intersects zone*t*+1. | The species in the zone of the earlier time moves along with the zone of the later time.\n", + "one-to-many | ![](images/zone__one_to_many.png) | zone*t* intersects multiple zones in *t*+1. | The species in the zone of the earlier time disperses across the multiple zones in the later time. The species in the zones of the later time are geographical disconnected, thus speciation occurs.\n", + "many-to-one | ![](images/zone__many_to_one.png) | Multiple zones in *t* intersect zone*t*+1. | The species in the earlier zones are relocated to the zone in the later time. Species density increases if zone*t*+1 is smaller than the the earlier time zones combined.\n", + "many-to-many | ![](images/zone__many_to_many.png) | Multiple zones in *t* intersect multiple zones in *t*+1. | The species in each zone of *t* relocates to all zones in *t*. All species extant at the earlier time step speciates as their range becomes fragmented in the later time step." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Create a zone function\n", + "\n", + "The zone function identifies all grid nodes where zones are to be created. A zone is created for each cluster of spatially continuous nodes.\n", + "\n", + "The zone function has the following two requirements:\n", + "1. It must return a boolean numpy array equal to the grid's `number_of_nodes`.\n", + "2. The first parameter must be named `grid`. It is the same Landlab grid supplied to SpeciesEvolver. Additional parameters are allowed.\n", + "\n", + "For the model in this tutorial, we define a zone function that indicates zones should be created where the air temperature is between 15°C and 25°C, inclusive." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def zone_func(grid):\n", + " \"\"\"Get a mask of the total zone extent.\"\"\"\n", + " T = grid.at_node['land_surface_air__temperature']\n", + " T_max = 25\n", + " T_min = 15\n", + " zone_extent_mask = np.all([T >= T_min, T <= T_max], 0)\n", + " return zone_extent_mask" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To demonstrate the output of this function, `True` values are shaded white in the plot below. Zones will be created in the masked area (in white)." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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iRcIqcVelaP0jxjpPkS7qrlNUWRjsYtG2Dk0NZFPjlGckqspexYiV3V+Untidpa56/03KdBlp3cagTTgL1lhA/uLQxK2sl9dlDzMrjCqVMavyZ1Emf158VWWITRWjU9Y7nVDlOY6i+7uizWinqXxjaDgn5BmMLhaR0+U/Vt4OuUsrr65Wua8qC8JYtJnrns6Esl50XpxVjVBZ/EVuWfJl7bIpS3OsZw+aGJomchSNrJpMB8bYeRNjNFVn1Ahx8m1SftqMaMvuGyNdTrtVbcSbNO5Vp4Gz2qY6U6pQYCwkXZd+md+sU9ZDqdojbzMa6ZqsBibG0DhGo1AmU14+xIgvzfT0YBWdtTE4dcpF3XTHkLNJPLD561myDGzWqK+MKsaqybbvKh2XJgaySsei6rboaX955bJO/W7aYcoidzeUpF8DziJ5X9MnzOyZyqEOTHo3VFtiD1WL4piQVSDbFsS8+NIjkrIRWFk8TWRpc18spvO4Sp5X2VmWpdu8uLLiq5tPTXfWFcWdJXfTHWpVdFAWZlEapu+tU67qjmKr5luen2kZY9SBtiPist1QucYCQNK2wB+SvO31UuD5yTUz+7Pa0vREU2MxXaljZWKVeKHa1EJZpa4S11inAoYiRocgK5/ydJ1VztqQF3eeHGXnVfx11YnKmzatapRiyJOVti7SW5RHZfLk+UlTV/4yY1H2UN4zwE+ArYHtSBmLeWOizOn52/R/lczMK2htpjKy3Kd7eFXp01DEqsRdNxYxdFI0tdZFfFnhpfVUd6qiinudMJtSd2pock+dulpWN/PqVlf5lhf2tAxFRj2LLPc2nZNcYyHpaODPSF63cZCZPdUoBsdxHGfmKRpZnAmcYGa39yVMl5TN/xb11JsO/8oW6ZrO72eF3WTetyyeulMOefPaRWGX+Zke6TVNV4x7u5iKiDl9WDWsrkYFRdM3We51ylMZVcPKOs8bXdQJvyjeNus8Tf1Uvb9OunJ3Q5nZL82LoYDNdwVkDUfLWGeb78LICiPL33Q4aX/T/ifnTaau8uLKck/HmyVz2i3PAObJnyVrXhxZZBmKPNnKwqsaZ971PONXJF9M6kwzVLlWdE8dvZaFA5vWu+mOTlFcMRvNmB2rvM5a+npWOifx5LUXVWWJXc7qhDf3z1nkVfymPYWshq9ujy/GDo2iRrbJGkharqIKXNfA5vnNC69qQzFJZ52KX8UINzFAZQ1IlXunZawjW5GxrlOGqpSbIvmqrDfUbeyKOilVZJqEUbYuU9RZmm7M88ptnnxZZJWZPKOSJ3NbyuKZpsu3zo6SLGtf9Z7JcdMGs0o8Xey2qBNu095aLL9V76lq+KrEU7RoWLagWKVXOB1Hlc0JMcpVUb5nlY2icl4m08R/3oiwKM1FfqrqKSsNdet2UbjT7mn9VJl2Lmszuq5PRfJUZe5HFkV0vTMob9jZR1zTVOn9diFfnWF1nRHaJL1N5rPTPca+h/1lccQ26ll+m/bup8NoOypq4qdMprxwq45W69xbNdy6dBVuW7r8+NEekm6QdKek2yW9J7jvJGmVpDXhf0lwl6RzJa2VdKukg1JhrQj+10haUVWGOg1kk3nLIop6JF0VhOlhc9lQtq6xLNvqlydTF1TRY51prQltOhBVGuW8qYa6U1ltZKgbVtOGNiZ1jXqbslpXZzHLWOz6ki5ndTpYWXQ5sngW+F0z+3mSz6meJml/4HTgejPbD7g+nAMcQ/IVvP2AU4HzIDEuwIeAQ0m+4/2hiYGpQ9teT5P40nTduNZpJJr0ZMvCjEGTxr9NnuaNOJpSp7fblKrTY2VyTd9XdQol7VZlOi0GbfOpjd/pxrVJQ1tnOq8rYhjzztYszOwh4KFw/CNJdwJLgeXA4cHbSpJvc/9+cL8kfEr1m5J2lLR78LvKzB4DkLSK5Inyy9vKWKXRiRF+172usvjrXssja6G+rd6qzPd2SZ/xlvVcq8pSZfosK9x0DzPmCKauPH3QhUxt68wYp5bgRblUoq9e1izCCwkPBG4EdguGZGJQXha8LQXWp27bENzy3B3HcZye6NxYSHop8DfAe83sX4q8ZrhZgft0PKdKWi1pdTNJ4zI9P9h3r6LN3GQZTaexpmk7vB8TZVMNZdMbdemrPNWZ8uk6D5tOE7bdJt+G6TXEvsp5ky30ZXRqLCRtSWIoLjOzLwTnh8P0EuF/Y3DfAOyRun0Z8GCB+yaY2YVmdnDeS7D6Jvbc9xjCgs0X6ifD/SbxDLnrY3rbY4ywytzSxFgfiWWoY9DVlOuQna1ZDDsv/OkOXpPy1+VuKAEXAXdOvaH2GmCyo2kFcHXK/W1hV9RhwJNhmurLwJGSloSF7SODWyltdvsMSaxGJGZjXNS4xo5n6J01dZmev+9jrarpLr5Yo8Iq4bcllqFosn6RlZZY+up7VFi0VlZHli4fynsN8Fbgu5K+E9w+CJwNXCnpZJK34p4Qrl0HHAusBZ4CTgIws8ckfRT4VvD3kclid2z63LnSFWNdRCsj1tbRMrruqabDL9oxFEOOpou4Y1yQnqatfNP6bbvLsM2mgCFHR20NRBoVfc9iVpFkZs1f490FfW8z7GK/9rqR6XRM1NX7GHbJ1JG5z3xPx9W0PI+lnPZpKNpu3Q67oXK/ZzHXT3CPobBMGJMsdUlXvFlOR5c02fsfY+TZ1whhCEPRJu6xldO+plbLpp3y7q0i31wbCycOY6t480bbqaih4u6Coim7WSPruaQu0pK3YF3nQeAq5cCNRQ/0uV1uyB1GTn2G3BE1C+VkFmTMI6+X38fDgl1s13Vj0RN9GIxZrlhOM8aa5zHL+1jTWEbeekVfGwymd0O1xY2F4ziOU4obix4YaieEM9908UxDLGZ1NBCLvIX6Wd4o4saiJ2axcExwQzQ+Yi+WznL5rELfZXge9enGYg7oek/5PBb8Wcc3MtRjbLqaxQ6YG4s5YGwVwXG6oM8X8XXNLNZZNxbOaJiXhmCh0+XbjmexkR07VY1wl++GcpxaeEMwH3g+zhaT/BrFx4+c2WSehv2O47TDjcWM0/VrsL2X6IwN78AMQ5ffs7hY0kZJt6XcdpK0StKa8L8kuEvSuZLWSrpV0kGpe1YE/2skrciKy3Ecx+mWLkcWnwWOnnI7HbjezPYDrg/nAMcA+4XfqcB5kBgX4EPAocAhwIcmBsYZz2uYHadPvMwPQ2fGwsy+Dkx/pGg5sDIcrwSOT7lfYgnfBHYMn1w9ClhlZo+Z2ePAKjY3QAsaH5I7jtMHfa9Z7BY+lUr4f1lwXwqsT/nbENzy3J2A97Icx+mDsWydzeoeW4H75gFIp5JMYS0Y3FA4jtMXfY8sHg7TS4T/jcF9A7BHyt8y4MEC980wswvN7OC8TwI6juM4mzPWL+VdA0x2NK0Ark65vy3sijoMeDJMU30ZOFLSkrCwfWRwcxzHcXqks2koSZcDhwO7SNpAsqvpbOBKSScD9wMnBO/XAccCa4GngJMAzOwxSR8FvhX8fcTMphfNHcdxnI6RzeG8tySbx3Q5juN0RXjdx815U/n+BLfjOI5TihsLx3EcpxQ3Fo7jOE4pbiwcx3GcUtxYOI7jOKW4sahI3+9g8nc+OY4zJtxYjJR1ZjNvMGLL37U+Zl3fXeP635SJvF1/JGwsenFjMWL6Nhix45oHgzdWYum1TjiT/Bxjng4hU1/leyz1aEEYixiKHirD+ow3HdcYCmdXzEPaYpSLpt9DGdsLLOumI2b+j00X0F35XhDGIhZjsfBdMknjGCtBLPrMx7GWl3nP4zxmNd1Vy2yX6XNjUZOFYDDmnT4bDC8v4yI9leb5Ug83Fo7jOE4pC8JYxF6Ym+feSexe9/Q6yND6mtVpiCyajlrGpoNJuWgiU5P7xpT2OlTJ7y5HsjNjLCQdLekuSWslnV73/nVmnSiy64KXVxmGbnTrkF4HaaOvripCm8aqCnXl7ipvu05n3zTVU4yyuBCZCWMhaRHwF8AxwP7AWyTtXyeMoooyloZ3Wo4mFbtt772rBnmIbZdV4uur4RjDAmUbYhqaaT007ciNUU9d0lXZGOuX8ppyCLDWzO4xs58CnweWDyxTKVmZEHsqbDrssoavauPZ5v4mtNFL3r3TjVBW2qoasaoNfRF9LXa31WXW/XXLRJ4MTTtAVcIa40Ogscp1V4a6DrNiLJYC61PnG4JbLm0araYNfJ0eU1352vbKJ/dOy5Mlc1H6y+4vIqvxrip3VfIauq724mfppo5+2kxP5aWpah51of82xDamefWuqoEp6ki0lbNK/hTpo6icddUpmYkv5Uk6ATjKzH4znL8VOMTM3p3ycypwKsAi+MVCS+I4juNsxv0FX8rr7BvckdkA7JE6XwY8mPZgZhcCFwJIeuR++AnwaG8SxmEXZkvmWZMXZk/mWZMXXOY+6ErevfIuzMrIYjHwfeB1wAPAt4D/bGa3F9yzOs9CjpVZk3nW5IXZk3nW5AWXuQ+GkHcmRhZm9qyk/wJ8GVgEXFxkKBzHcZy4zISxADCz64DrhpbDcRxnITIru6GacOHQAjRg1mSeNXlh9mSeNXnBZe6D3uWdiTULx3EcZ1jmeWThOI7jRGLujEXbd0hFlmUPSTdIulPS7ZLeE9x3krRK0prwvyS4S9K5QfZbJR2UCmtF8L9G0oqO5V4k6duSrg3n+0i6McR9haStgvvW4XxtuL53Kowzgvtdko7qWN4dJV0l6XtB16+eAR3/TigTt0m6XNI2Y9OzpIslbZR0W8otml4l/aKk74Z7zpXaPUmWI++fhHJxq6S/lbRj6lqm7vLakLz8iS1z6tr7JZmkXcL5sDo2s7n5keyUuhvYF9gKuAXYf0B5dgcOCsfbkWz/3R/4BHB6cD8d+Hg4Phb4EiDgMODG4L4TcE/4XxKOl3Qo9/uAzwHXhvMrgRPD8fnAb4fjdwHnh+MTgSvC8f5B91sD+4Q8WdShvCuB3wzHWwE7jlnHJG8fuBd4SUq/bx+bnoFfBg4Cbku5RdMrcBPw6nDPl4BjOpD3SGBxOP54St5M3VHQhuTlT2yZg/seJLs/1wG7jEHHnVTeoX5BKV9OnZ8BnDG0XCl5rgZ+BbgL2D247Q7cFY4vAN6S8n9XuP4W4IKU+yb+Isu4DLgeOAK4NhSyR1MV7gUdh8L86nC8OPjTtN7T/jqQd3uShldT7mPW8eT1NTsFvV0LHDVGPQN7s2njG0Wv4dr3Uu6b+Isl79S1/whcFo4zdUdOG1JUD7qQGbgK+AXgPl40FoPqeN6moWq/Q6ovwtTBgcCNwG5m9hBA+H9Z8JYnf5/p+hTwAeD5cL4z8ISZPZsR9wtyhetPBv99yrsv8AjwP5VMnf2lpG0ZsY7N7AHgk8D9wEMkeruZcet5Qiy9Lg3H0+5d8g6S3jUlcmW5F9WDqEh6I/CAmd0ydWlQHc+bsciajxt8u5eklwJ/A7zXzP6lyGuGmxW4R0XSccBGM7u5gkxF1/rMh8Ukw/jzzOxAkte8FK1VDS5zmOdfTjL98XJgW5LX7+fFP7jMFagrY6+ySzoTeBa4bOJUU66+6uDPAGcCf5h1OUeGXmSeN2NR+g6pvpG0JYmhuMzMvhCcH5a0e7i+O7AxuOfJ31e6XgO8UdJ9JK+BP4JkpLGjkleuTMf9glzh+g7AYz3KO5Fhg5ndGM6vIjEeY9UxwOuBe83sETN7BvgC8O8Yt54nxNLrhnA87R6dsOB7HPDrFuZjGsj7KPn5E5OfI+lE3BLq4TLgnyX9bAOZ4+o45vzm0D+SXuY9QdmTxalXDSiPgEuAT025/wmbLhJ+Ihy/gU0XsG4K7juRzMsvCb97gZ06lv1wXlzg/ms2Xdh7Vzg+jU0XXq8Mx69i08XDe+h2gfsfgVeG4w8H/Y5Wx8ChwO3AzwQ5VgLvHqOe2XzNIppeSd7xdhgvLr4e24G8RwN3ALtO+cvUHQVtSF7+xJZ56tp9vLhmMaiOO6m8Q/5Idgx8n2RHw5kDy/LvSYZ9twLfCb9jSeY/rwfWhP9Jxorki4B3A98FDk6F9Q5gbfid1IPsh/OisdiXZFfF2lBhtg7u24TzteH6vqn7zwzpuIuWu1wqyHoAsDro+e9ChRm1joE/Ar4H3AZcGhqtUekZuJxkTeUZkl7qyVt7RjQAAAFTSURBVDH1Chwc0n838OdMbVKIJO9akvn8Sf07v0x35LQhefkTW+ap6/fxorEYVMf+BLfjOI5TyrytWTiO4zgd4MbCcRzHKcWNheM4jlOKGwvHcRynFDcWjuM4TiluLBynB5S8gfheSTuF8yXhfK+hZXOcKrixcJweMLP1wHnA2cHpbOBCM1s3nFSOUx1/zsJxeiK8+uVm4GLgFOBAM/vpsFI5TjUWl3txHCcGZvaMpN8D/h440g2FM0v4NJTj9MsxJK93+NdDC+I4dXBj4Tg9IekAko9fHQb8zuTtrY4zC7ixcJweCN8+Po/kmyb3k7y99ZPDSuU41XFj4Tj9cApwv5mtCuefBv6VpNcOKJPjVMZ3QzmO4zil+MjCcRzHKcWNheM4jlOKGwvHcRynFDcWjuM4TiluLBzHcZxS3Fg4juM4pbixcBzHcUpxY+E4juOU8v8Bd/0wGFgYClYAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow_grid(mg, zone_func(mg), allow_colorbar=False, plot_name='zone extent in white')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Initialize ZoneController\n", + "\n", + "Next, we instantiate a ZoneController that will create and manage the zones. We used an optional parameter, `minimum_area` to indicate the minimum area of the zones to be created. Zones will be created upon initialization of this controller." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "zc = ZoneController(mg, zone_func, minimum_area=50000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Above, the mask returned by the `zone_func` indicates where zones should be created.\n", + "\n", + "Below, we see ZoneController created two zones, one for each spatially distinct node cluster in the `zone_func` mask." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create a map of all zones.\n", + "zone_map = np.zeros(mg.number_of_nodes)\n", + "for i, zone in enumerate(zc.zones):\n", + " zone_map[zone.mask] = i + 1\n", + "\n", + "# Plot zone map.\n", + "cmap = plt.cm.tab20\n", + "cmap.set_under('w')\n", + "title = 'zone count = {}'.format(len(zc.zones))\n", + "imshow_grid(mg, zone_map, cmap=cmap, allow_colorbar=False, plot_name=title, vmin=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Multiple instances of ZoneController may be used with the same instance of SpeciesEvolver. This is useful when you wish to model groups of species where each group needs a different `zone_func`, for instance, fish and bears." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Seed zones with species\n", + "\n", + "In this model, a species is populated to each of the two initial zones using the ZoneController method, `populate_zones_uniformly`. This method creates species and populates it to each zone." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "species = zc.populate_zones_uniformly(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Introduce species to SpeciesEvolver\n", + "\n", + "All species must be introduced using the SpeciesEvolver method, `introduce_species` in order for the species to be tracked by SpeciesEvolver." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "se.introduce_species(species)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Two species now exist in SpeciesEvolver." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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" + ], + "text/plain": [ + " time species_count\n", + "0 0 2" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "se.record_data_frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The SpeciesEvolver attribute, `species_data_frame` provides data about all of the introduced species, both extant and extinct. The data is presented in a Pandas DataFrame. The `clade` and `number` identifier elements are explained next." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
cladenumbertime_appearedlatest_time
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" + ], + "text/plain": [ + " clade number time_appeared latest_time\n", + "0 A 0 0 0\n", + "1 B 0 0 0" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "se.species_data_frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### About species identifiers\n", + "\n", + "Species identifiers are automatically generated. They are stored as tuples in species objects. The first element of the identifier tuple is the clade name, and the second element is the species number. For example, the first species of clade A is 0, so the identifier is ('A', 0) and the tenth species of this clade is ('A', 9).\n", + "\n", + "#### Clade name\n", + "\n", + "A clade is a group of species that share a common ancestor. Species may share multiple common ancestors, so clades can be defined differently in the same tree. Clades in this example tree can be defined in multiple ways:\n", + "\n", + "\n", + "\n", + "In SpeciesEvolver, clades are defined by the root node for the purpose of assigning species identifiers. The species at the root node is:\n", + "* the least recent common ancestor of all species in the tree, and\n", + "* are typically introduced to SpeciesEvolver using the ```introduce_species``` method.\n", + "\n", + "The clades of the first 26 species are named alphabetically from A to Z. The alphabet is iteratively repeated in names for subsequent clades, following this schema:\n", + "\n", + "
clade sequence
|
clade name
\n", + "--- | ---\n", + "1–26 | A–Z\n", + "27–52 | AA–AZ\n", + "53–78 | BA–BZ\n", + "... | ...\n", + "703–728 | AAA–AAZ\n", + "729–754 | ABA–ABZ\n", + "... | ...\n", + "\n", + "#### Species number\n", + "\n", + "The species of a clade are numbered sequently beginning with 0.\n", + "\n", + "In the example tree below, species A.0 produced 4 child species. Only one species, B.0 exists in clade B because child species were not produced by B.0.\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Model time step 1\n", + "\n", + "Initial conditions were established in time 0. Next, climate change is modeled by increasing the temperature at base level by 6°C." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Update the temperature field.\n", + "temperature_at_base_level += 6\n", + "mg.at_node['land_surface_air__temperature'] = lapse_rate * z + temperature_at_base_level\n", + "\n", + "# Plot the temperature field.\n", + "imshow_grid(mg, 'land_surface_air__temperature',\n", + " colorbar_label='surface air\\ntemperature (C$\\degree$)',\n", + " shrink=0.4, cmap='bwr')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we advance ZoneController and SpeciesEvolver in time by one time step. ZoneController is advanced first in order to update the zones prior to calling SpeciesEvolver.\n", + "\n", + "`dt` is set to 1 only because the duration of a time step is not prescribed in this tutorial. This `1` does not signify that one time step is run. We use 1 to make it simple to think about the time step sequence. Often, you may wish to make `dt` be the number of years in a time step." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "dt = 1\n", + "zc.run_one_step(dt)\n", + "se.run_one_step(dt)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One zone now exists because the temperature increase raised the area that falls within the temperature range prescribed in `zone_func`.\n", + "\n", + "Plot the zones." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create a map of all zones.\n", + "zone_map = np.zeros(mg.number_of_nodes)\n", + "for i, zone in enumerate(zc.zones):\n", + " zone_map[zone.mask] = i + 1\n", + "\n", + "# Plot zone map.\n", + "title = 'zone count = {} (zone is shaded)'.format(len(zc.zones))\n", + "imshow_grid(mg, zone_map, cmap=cmap, allow_colorbar=False, plot_name=title, vmin=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A 'many-to-one' zone connectivity occurred in this time step relative to the previous time step, meaning neither speciation or extinction were triggered by zone change. (See zone connectivity table above.)\n", + "\n", + "The same two species of time 0 exist in time 1. Their geographic range is all that changed." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
cladenumbertime_appearedlatest_time
0A001
1B001
\n", + "
" + ], + "text/plain": [ + " clade number time_appeared latest_time\n", + "0 A 0 0 1\n", + "1 B 0 0 1" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "se.species_data_frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Model time step 2\n", + "\n", + "Temperature is again increased by 6°C in time step 2." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Update the surface temperature field.\n", + "temperature_at_base_level += 6\n", + "mg.at_node['land_surface_air__temperature'] = lapse_rate * z + temperature_at_base_level\n", + "\n", + "# Plot temperature field.\n", + "imshow_grid(\n", + " mg, 'land_surface_air__temperature',\n", + " colorbar_label='surface air\\ntemperature (C$\\degree$)',\n", + " shrink=0.4, cmap='bwr'\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Advance ZoneController and SpeciesEvolver, and plot zones." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "zc.run_one_step(dt)\n", + "se.run_one_step(dt)\n", + "\n", + "# Create a map of all zones.\n", + "zone_map = np.zeros(mg.number_of_nodes)\n", + "for i, zone in enumerate(zc.zones):\n", + " zone_map[zone.mask] = i + 1\n", + "\n", + "# Plot zone map.\n", + "title = 'zone count = {}'.format(len(zc.zones))\n", + "imshow_grid(mg, zone_map, cmap=cmap, allow_colorbar=False, plot_name=title, vmin=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nine zones exist now. The effect of this `one-to-many` zone connectivity change on species is examined in the next section." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Examine model outcome\n", + "\n", + "In the species DataFrame, we see 20 species existed during the model. Species A.0 and B.0 are known to exist as late as time 1. All other species appeared at time 2, the final time step. Something happened between time steps 1 and 2 when A.0 and B.0 went extinct and 18 other species were created." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " clade number time_appeared latest_time\n", + "0 A 0 0 1\n", + "1 A 1 2 2\n", + "2 A 2 2 2\n", + "3 A 3 2 2\n", + "4 A 4 2 2\n", + "5 A 5 2 2\n", + "6 A 6 2 2\n", + "7 A 7 2 2\n", + "8 A 8 2 2\n", + "9 A 9 2 2\n", + "10 B 0 0 1\n", + "11 B 1 2 2\n", + "12 B 2 2 2\n", + "13 B 3 2 2\n", + "14 B 4 2 2\n", + "15 B 5 2 2\n", + "16 B 6 2 2\n", + "17 B 7 2 2\n", + "18 B 8 2 2\n", + "19 B 9 2 2" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "se.species_data_frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the SpeciesEvolver record DataFrame, we see 18 speciations, meaning they occurred before this time step and after the prior time step. We also see two pseudoextinctions were recognized at time 2. A pseudoextinction is a species that is no longer extant because it speciated into child species." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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timespecies_countspeciation_countextinction_countpseudoextinction_count
002NaNNaNNaN
1120.00.00.0
221818.00.02.0
\n", + "
" + ], + "text/plain": [ + " time species_count speciation_count extinction_count \\\n", + "0 0 2 NaN NaN \n", + "1 1 2 0.0 0.0 \n", + "2 2 18 18.0 0.0 \n", + "\n", + " pseudoextinction_count \n", + "0 NaN \n", + "1 0.0 \n", + "2 2.0 " + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "se.record_data_frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A summary of the species in this model:\n", + "\n", + "- A.0 and B.0: The initial species we introduced.\n", + "- A.1...9 and B.1...9: The child species of the initial species.\n", + "\n", + "We will examine the model history using the plot below" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create a plot of key model variables over time.\n", + "\n", + "time = se.record_data_frame.time\n", + "temperature = [26, 32, 38]\n", + "n_zones = zc.record_data_frame.zone_count\n", + "n_species = se.record_data_frame.species_count\n", + "\n", + "plt.plot(time, temperature, 'o-c', label='temperature (\\N{DEGREE SIGN}C)')\n", + "plt.plot(time, n_zones, 's-m', label='zone count')\n", + "plt.plot(time, se.record_data_frame.species_count, 'd-y', label='species count')\n", + "plt.xlabel('time')\n", + "plt.xticks(time)\n", + "_ = plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The model begins at time 0 with two zones, each with one of the initial species, A.0 and B.0. Zone count decreases by one in time 1 as the temperature increased. Species and zone count drastically increases in time 2 as temperature continued to increase. The schematic profiles of topography below illustrate species distribution and count in response to temperature change over the model time." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Profile location in model grid**: Suppose the diagram below is the outline of the model grid. Two profiles, P1 and P2 are drawn north-south and west-east, respectively.\n", + "```\n", + " N\n", + " ___________________\n", + " │ P1 │\n", + " │ │ │\n", + " W │ P2──┼─────── │ E\n", + " │ │ │\n", + " │ │\n", + " ‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾\n", + " S\n", + "\n", + "\n", + "```\n", + "**T0, Profile 1:** At the beginning of the model, a species was seeded to the north and south of the main west-east divide. The relatively low temperature forced the species to be located at low elevations. Species could not reach across the main divide where it was too cold for the species to persist. (The profile is on the left and the vertical bar on the right delineates the elevation range the species can persist.)\n", + "```\n", + " ╱╲\n", + " ╱ ╲\n", + " N a╱ ╲* S ─┐\n", + " a╱ ╲* │ Species temperature range\n", + " aaaaa╱ ╲***** │\n", + " ‾‾‾‾‾ ‾‾‾‾‾ ─┘ \n", + " \n", + "\n", + "```\n", + "**T1 Profile 1:** Species were able to cross the main divide as the temperature increased. The two species existed in the same area. Coexisting had no effect because ZoneSpecies do not interact in the default implemention of the code for this species.\n", + "``` \n", + " *a ─┐\n", + " *a╱╲*a │\n", + " *a╱ ╲*a │ Species temperature range\n", + " N *a╱ ╲*a S │\n", + " *a╱ ╲*a ─┘\n", + " ╱ ╲\n", + " ‾‾‾‾‾ ‾‾‾‾‾\n", + "\n", + "\n", + "```\n", + "**T3, Profile 1 (left) and Profile 2 (right)**: An additional increase in temperature drove species to become isolated on mountain peaks along the main divide. Species could not reach adjacent peaks because valleys were too cold. Each peak that was above the minimum species temperature led to an isolated population that produced a child species. In the model we ran, nine peaks/ridgeline areas met these qualifications, thus species A.0 and B.0 produced 9 child species.\n", + "``` \n", + " ─┐\n", + " │ Species temperature range\n", + " b+ +b c@ │ \n", + " b+╱╲b+ +b╱╲+b c@╱╲c@ ─┘\n", + " ╱ ╲ ╱ ╲ ╱╲ ╱ ╲\n", + " N ╱ ╲ S W ╱ ╲____╱ ╲____╱ ╲ E\n", + " ╱ ╲ ╱ ╲\n", + " ╱ ╲ ╱ ╲\n", + " ‾‾‾‾‾ ‾‾‾‾‾ \n", + "```\n", + "**Phylogeny**: In this schematic example, species `a` and `*` produced 2 child species each.\n", + "```\n", + " ┌─ b\n", + "a ───────┤\n", + " └─ c\n", + " ┌─ +\n", + "* ───────┤\n", + " └─ @\n", + " __________\n", + "T0 T1 T2\n", + "\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "SpeciesEvolver automatically creates a `species_richness` grid field. We can use this field to see that there are two species in each zone. (species richness = number of species) In each zone, one species belongs to clade A, the other belongs to clade B." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow_grid(\n", + " mg, 'species__richness', plot_name='species richness',\n", + " colorbar_label='species richness', shrink=0.4, cmap='viridis'\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Similar to SpeciesEvolver, ZoneController has a `record_data_frame` that stores model variables over time. The ZoneController stores variables pertinent to zones.\n", + "\n", + "In the ZoneController record, 'fragmentation_count' in time 2 is nine. The one zone in time 1 split into nine fragments, or zones, essentially between times 1 and 2.\n", + "\n", + "We see capture statistics in this record as well. Here, a capture indicates that a zone captured area from a zone in a prior time step. The one zone in time 1 captured the two zones in time 0." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " time zone_count fragmentation_count capture_count area_captured_sum \\\n", + "0 0 2 NaN NaN NaN \n", + "1 1 1 0.0 1.0 32542500.0 \n", + "2 2 9 9.0 0.0 0.0 \n", + "\n", + " area_captured_max \n", + "0 NaN \n", + "1 32542500.0 \n", + "2 0.0 " + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "zc.record_data_frame" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pandas DataFrame methods can be used on `record_data_frame`. For example, here we get the maximum capture count." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "9" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "zc.record_data_frame.zone_count.max()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Obtaining specific species objects\n", + "\n", + "Metadata of species can be viewed in `species_data_frame`, although species objects cannot be obtained from this DataFrame. Species objects are obtained using the SpeciesEvolver method, `filter_species`. With species objects you can work with individual species, including plotting its geographic range as demonstrated below.\n", + "\n", + "All of the introduced species and their child species are returned when no parameters are inputted into `filter_species`. This method returns the 20 species that have existed in this notebook's SpeciesEvolver instance." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ]" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "filtered_species = se.filter_species()\n", + "filtered_species" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The species can be filtered by the time they existed. To do so, we can use the optional parameter, `time` to indicate we want the species extant at time 0." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[,\n", + " ]" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "filtered_species = se.filter_species(time=0)\n", + "filtered_species" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can confirm that this method returned the first two species introduced at time 0, A.0 and B.0." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[('A', 0), ('B', 0)]" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[s.identifier for s in filtered_species]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The species of a clade can be obtained using the `clade` parameter. Here we get the species of clade A and then print only the identifiers of the filtered species." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[('A', 0),\n", + " ('A', 1),\n", + " ('A', 2),\n", + " ('A', 3),\n", + " ('A', 4),\n", + " ('A', 5),\n", + " ('A', 6),\n", + " ('A', 7),\n", + " ('A', 8),\n", + " ('A', 9)]" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "filtered_species = se.filter_species(clade='A')\n", + "[s.identifier for s in filtered_species]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The parameter, `number` returns only the species with a number, despite the clade." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[('A', 3), ('B', 3)]" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "filtered_species = se.filter_species(number=3)\n", + "[s.identifier for s in filtered_species]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Multiple filter parameters can be used at once." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[('A', 1),\n", + " ('A', 2),\n", + " ('A', 3),\n", + " ('A', 4),\n", + " ('A', 5),\n", + " ('A', 6),\n", + " ('A', 7),\n", + " ('A', 8),\n", + " ('A', 9)]" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "filtered_species = se.filter_species(time=2, clade='A')\n", + "[s.identifier for s in filtered_species]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If necessary, lists of species can be passed through the filter multiple times. The parameter, `species_subset` is a list of Species objects that will be filtered. We use a list of previously filtered species, and filter the list further." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "('A', 5)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "filtered_species_pass_2 = se.filter_species(species_subset=filtered_species, number=5)\n", + "species_A5 = filtered_species_pass_2[0]\n", + "species_A5.identifier" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With a species obtained, we can work with it as we need. Here we plot its geographic range. The `range_mask` attribute of a species is a mask of its geographic range." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mask = species_A5.range_mask\n", + "\n", + "imshow_grid(mg, mask, plot_name='species A.5 range in white', allow_colorbar=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can confirm that the parent species of species A.5 is one of the initial species using the `parent_species` attribute." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "('A', 0)" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "species_A5.parent_species.identifier" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Species A.0 is one of the initial species, and became pseudoextinct as it speciated to species A1...A9 when the zone fragmented prior to time 2. The same sequence of events occurred for clade B. This phylogeny is explained by the 2 pseudoextinctions, 18 speciations, 20 total species, and 2 zone captures followed by 9 zones fragmentations." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Click here for more Landlab tutorials" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/species_evolution/images/clade_definitions.png b/species_evolution/images/clade_definitions.png new file mode 100644 index 0000000..605e19a Binary files /dev/null and b/species_evolution/images/clade_definitions.png differ diff --git a/species_evolution/images/species_identifier.png 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