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'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bcf' +[92] Biber.pm:994> INFO - Found 4 citekeys in bib section 0 +[101] Biber.pm:4463> INFO - Processing section 0 +[106] Biber.pm:4654> INFO - Looking for bibtex file 'literatura.bib' for section 0 +[107] bibtex.pm:1713> INFO - LaTeX decoding ... +[109] bibtex.pm:1519> INFO - Found BibTeX data source 'literatura.bib' +[141] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'variable = shifted' with 'variable = non-ignorable' +[141] UCollate.pm:68> INFO - Overriding locale 'hr-HR' defaults 'normalization = NFD' with 'normalization = prenormalized' +[141] Biber.pm:4283> INFO - Sorting list 'nty/global//global/global/global' of type 'entry' with template 'nty' and locale 'hr-HR' +[146] bbl.pm:677> INFO - Writing 'ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl' with encoding 'UTF-8' +[147] bbl.pm:780> INFO - Output to ispitivanje_cvrstoce_fdm_3d_printanog_uzorka.bbl diff --git 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-------------------------------------------- +\usepackage[utf8]{inputenc} +\usepackage[croatian]{babel} +\usepackage[scaled=0.92]{helvet} +\renewcommand{\familydefault}{\sfdefault} % Arial substitute (Helvetica) +\usepackage{amsmath, gensymb, textcomp} +\usepackage{graphicx, float, adjustbox} +\usepackage[table]{xcolor} +\usepackage{enumitem} +\usepackage[margin=2.5cm]{geometry} +\usepackage{setspace} +\usepackage{footmisc} +\usepackage{booktabs} +\usepackage{longtable} +\usepackage{caption} +\usepackage[backend=biber,style=numeric]{biblatex} +\addbibresource{literatura.bib} + + + +\setlength{\footnotesep}{0.5\baselineskip} +\renewcommand{\footnotelayout}{\setstretch{1.0}} + +% Section formatting +\usepackage{sectsty} +\sectionfont{\fontsize{14}{16}\selectfont\bfseries} +\subsectionfont{\fontsize{12}{14}\selectfont\bfseries} +\subsubsectionfont{\fontsize{12}{14}\selectfont\itshape} + +% -------------------------------------------- +% Header and Footer (fancyhdr) +% -------------------------------------------- +\usepackage{fancyhdr} +\pagestyle{fancy} +\fancyhf{} % clear all header and footer fields +\renewcommand{\footrulewidth}{0.4pt} +\renewcommand{\headrulewidth}{0.4pt} + +% Header +\fancyhead[L]{\textit{Niko Vujić}} % Left: name +\fancyhead[R]{\textit{Završni rad}} % Right: document type + +% Footer +\fancyfoot[L]{\textit{Tehnički fakultet u Puli}} % Left footer +\fancyfoot[R]{\thepage} % Right footer: page number + +\begin{document} + +\section{Uvod} + +%----------- POTREBNA_PROMJENA +Postupak FDM 3D printanja trenutno je najbrže rastuća metoda proizvodnje aditivnim tehnologijama, te je zbog svoje svestranosti ubrzo postala i najzastupljenija metoda +proizvodnje aditivnim tehnologijama na tržištu. +Prednosti proizvodnje aditivnim tehnologijama leže u velikoj brzini prototipiranja, mogučnošću proizvodnje malih serija bez izrade alata, minimalnoj količini škarta +te velikoj fleksibilnosti pri konstruiranju. +Isti razlog zbog kojega 3D printanje daje fleksibilnost pri konstruiranju (zbog izrade kompliciranih oblika te mogučnosti izrade šupljih dijelova zbog redukcije mase, +povećanja brzine izrade te uštede materijala) daje i glavne probleme ove tehnologije. +U odnosu na tradicionalne proizvodne metode (obrada odvajanjem čestica, injekcijsko prešanje ...) 3D printanje daje puno manje predvidive ishode izrađenih strojnih +dijelova zbog samog broja parametara koji utječu na kvalitetu izrade i samu čvrstoću strojnog dijela. +Cilj ovog rada je pronaći parametre koji najviše utječu na promjenu čvrstoće 3D printa, te pronaći korelaciju između promjene istih i čvrstoće strojnog dijela. +%-------- + +\pagebreak + +\section{FDM aditivna tehnologija} \label{sec:fdm_aditivna_tehnologija} + +\subsection{Općenito o FDM tehnologiji} \label{sec:opcenito_o_fdm_tehnologiji} + +FDM (fused deposition modeling) često znano kao FFF (fused filament fabrication) aditivna je tehnologija koja koristi ekstruziju termoplastičnog materijala kroz slojeve +za izradu 3D modela. +Proces se sastoji od grijanja mlaznice na temperaturu taljenja termoplastičnog materijala te istiskivanjem istog kroz brizgalocu sloj po sloj kako bi se izradio +3D model. + +\subsection{Princip rada FDM tehnologije} \label{subsec:princip_rada_fdm_tehnologije} + +FDM tehnologija temelji se na procesu taloženja materijala po slojevima, pri čemu se termoplastični materijal (najčešće u obliku filamenta) zagrijava na (ili preko) +temperaturu tališta i ekstrudira kroz mlaznicu. \\ +Proces izrade strojnog dijela može se podjeliti u sljedeće korake: + +\begin{enumerate} + \item Priprema modela + \item Zagrijavanje i ekstruiranje + \item Izgradnja slojeva +\end{enumerate} + +\bigskip + +\noindent\textbf{1. Priprema modela} \\ +Model se pretvara iz vektorskog formata (step, stp, iges...) u format površinske mreže (stl, obj, ply) te se kao takav stavlja u program za pripremu ispisa (slicer). +U sliceru se podešavaju svi potrebni parametri ispisa (više o njima u sljedećem poglavlju) te se model pretvara u gcode (tekstualni jezik naredbi čitljiv 3D printeru kao +stroju). \\ + + +\noindent\textbf{2. Zagrijavanje i ekstrudiranje} \\ +Materijal u obliku filamenta se sustavom za dovod materijala dovodi u zagrijanu glavu stroja, gdje se kroz mlaznicu zatim precizno nanosi na radnu površinu.\\ + +\noindent\textbf{3. Izgradnja slojeva} \\ +Stroj pomiče mlaznicu ili podlogu (ovisno o izvedbi) po osima X, Y i Z te sloj po sloj izgrađuje 3D objekt. Svaki novi sloj se taloži na prethodni po Z-osi sve dok +se ne izgradi 3D objekt. \\ + +\newpage +\section{Parametri ispisa}\label{sec:parametri_ispisa} + +\subsection{Osnovni parametri ispisa}\label{subsec:osnovni_parametri_ispisa} + +Parametre ispisa početno možemo podjeliti u tri glavne skupine. + +\begin{enumerate} + \item Parametri povezani s obradom materijala + \subitem Temperatura mlaznice + \subitem Temperatura podloge + \subitem Brzina hlađenja (diktirana hlađenjem glave stroja) + \subitem Vrsta materijala + \subitem Promjer i tip filamenta + \item Parametri povezani s dinamikom stroja + \subitem Brzina ispisa + \subitem Akceleracija i trzaj (jerk) + \subitem Retrakcija materijala + \subitem Visina Z-podizanja pri preskakanju (Z-hop) + \subitem Kalibracija osi i tolerancije + \item Parametri povezani s geometrijom objekta + \subitem Visina sloja + \subitem Širina ekstruzije + \subitem Postotak ispune + \subitem Debljina gornjih i donjih slojeva + \subitem Vrsta ispune + \subitem Orijentacija modela na radnoj podlozi + \subitem Broj slojeva stijenke +\end{enumerate} + +\subsection{Odabir parametara za testiranje}\label{subsec:odabir_parametara_za_testiranje} + +Iako svaka skupina prethodno navedenih parametara utječe na čvstoću objekta, prve dvije skupine ovise samo o stroju i materijalu, te su samim time konstantne za svaku +kombinaciju stroja i materijala. Korelaciju ćemo u ovome radu tražiti samo između parametara treće skupine, jer su parametri oblika oni koji za različite strojne +dijelove u procesu proizvodnje istim materijalom na istom stroju diktiraju samu promjenu čvrstoće strojnog dijela.\\ +\\ +U daljnjem će tekstu biti dublje opisani parametri povezani s geometrijom objekta.\\ + + +\newpage +\subsubsection{Visina sloja}\label{subsubsec:visina_sloja} + +Visina sloja predstavlja debljinu svakog pojedinog sloja taloženog tijekom ispisa, te samim time definira "vertikalnu rezoluciju" modela. Tipične vrijednosti kreću se +između 0.1mm i 0.5mm, ovisno o željenoj kvaliteti ispisa. Manji slojevi omogućavaju veću kvalitetu ispisa te manju hrapavost površine, ali produžuju vrijeme ispisa. +Što je visina sloja veća, slojevi se brže talože, ali dolazi go veće separacije slojeva i slabije adhezije među istima.\\ +\\ +Pogledamo li poprečni presjek u ravnini normalnoj na trag filamenta možemo vidjeti kako manje visine slojeva (za isti volumenski protok materijala) +daje veću kontaktnu površinu među slojevima, te samim time i veću adheziju među slojevima i manju horizontalnu separaciju sloja.\\ +Varijacija presjeka u odnosu na različite visine slojeva prikazana je na slici \ref{fig:visina_sloja}.\\ + + +\begin{figure}[h] + \centering + \includegraphics[width=0.8\textwidth]{media/imgs/parameters_description/visina_sloja.jpg} + \caption{Transformacija poprečnog presjeka pojedinog sloja s povećanjem debljine sloja. Idealizirani oblik sloja prikazan je preko SEM slika (preuzeto iz \cite{kuznetsov2018strengthPLA}).} + \label{fig:visina_sloja} +\end{figure} + + +\subsubsection{Širina ekstruzije}\label{subsubsec:sirina_ekstruzije} +Širina ekstruzije određuje koliko je širok pojedini ispisani trag filamenta. Tipične vrijednosti kreću se između 80\% i 120\% promjera mlaznice, čime je moguće +osigurati dobro prosječno preklapanje susjednih tragova. Preklapanje susjednih tragova prikazano je na slici \ref{fig:sirina_ekstruzije}, te je moguće primjetiti kako veća +širina ekstruzije daje veću horizontalnu kontaktnu površinu između tragova, te (u ovisnosti o visini sloja prethodno opisanoj u podpoglavlju \ref{subsubsec:visina_sloja}) +daje i veću kontaktnu površinu između slojeva.\\ + +\begin{figure}[h] + \centering + \includegraphics[width=0.6\textwidth]{media/imgs/parameters_description/sirina_ekstruzije.jpg} + \caption{Širina ekstruzije pojedinog traga pri izlazu iz mlaznice, prikazano kroz nekoliko paralelnih tragova (preuzeto iz \cite{hermann2019extrusionwidth}).} + \label{fig:sirina_ekstruzije} +\end{figure} + +\newpage +\subsubsection{Postotak ispune}\label{subsubsec:postotak_ispune} + +Postotak ispune određuje koliko unutrašnjosti modela će biti ispunjeno materijalom. Ispuna može biti u rasponu od 0\% (šuplji model samo sa vanjskom stijenkom) +do 100\% (potpuno ispunjen model). Tipične vrijednosti za funkcionalne modele kreću se između 15\% i 60\%, dok se veće vrijednosti često koriste za dijelove malih +poprečnih presjeka u odnosu na dimenzije mlaznice (gdje je anizotropija značajna), ili za dijelove koji trebaju podnijeti značajna mehanička opterećenja.\\ +\\ +Veći postotak ispune direktno povećava masu, čvrstoću i krutost dijela, ali i povećava potrošnju materijala te značajno povećava vrijeme ispisa.\\ + +\begin{figure}[h] + \centering + \includegraphics[width=0.6\textwidth]{media/imgs/parameters_description/postotak_ispune.jpg} + \caption{Različiti postotci ispune kod iste vrste ispune. Preuzeto iz \cite{clevercreationsInfillStrength}.} + \label{fig:postotak_ispune} +\end{figure} + +\subsubsection{Debljina gornjih i donjih slojeva}\label{subsubsec:debljina_gornjih_i_donjih_slojeva} +Debljina gornjih i donjih slojeva definira koliko će slojeva biti potpuno ispunjeno bez strukturne ispune. Za razliku od visine slojeva (\ref{subsubsec:visina_sloja}) +ovdje se govori o stvarnom broju slojeva, ne o njihovoj visini.\\ +\\ +Donji slojevi ključni su za kvalitetno prijanjanje modela uz podlogu, dok gornji slojevi sprječavaju pojavu rupa ili udubljenja pri završetku ispisa.\\ +Tipične vrijednosti broja donjih slojeva kreće se između 2 i 4, kako bi se osigurala dobra baza za prijanjanje slojeva manjih poprečnih presjeka (slojeva sačinjenih +od ispune) te osiguralo dobro prijanjanje na podlogu.\\ +Tipične vrijednosti broja gornjih slojeva kreću se između 3 i 5, ovisno o postotku ispune. Niži postoci ispune zahtjevaju veći broj gornjih slojeva kako bi se +sakrilo "vješanje" slojeva koji se grade na zadnjem sloju ispune, dok je za veće postotke ispune dovoljno imati manji broj gornjih slojeva jer se sam sloj gradi +na "gušćoj" mreži ispune.\\ + +%ubaciti sliku vješanja slojeva + + +\newpage +\subsubsection{Vrsta ispune}\label{subsubsec:vrsta_ispune} +Vrsta ispune definira geometrijsku strukturu kojom se ispunjava unutrašnjost modela. Vrste ispune se primarno dijele na 2D i 3D ispune, gdje 2D ispune svoj osnovni +oblik ispune drže konstantnim kroz cijelu Z-os, dok 3D ispune variraju oblik ispune po Z-osi.\\ +\\ +Prednosti 3D ispuna su često smanjenje razine anizotropnosti materijala, te konzistentniji prijenos sile kroz strojni komad, no pošto se površinski presjek po Z-osi +mijenja, anizotropnost nije konstanta što onemogućava bilo koju vrstu proračuna ili predikcije čvrstoće strojnog dijela.\\ +Prikaz najpopularnijih 2D i 3D vrsta ispune nalazi se u tablicama \ref{tab:2d_ispune} i \ref{tab:3d_ispune} (preuzeto iz \cite{prusaInfillPatterns}).\\ + +\begin{longtable}{>{\raggedright\arraybackslash}p{4cm} >{\raggedright\arraybackslash}p{7.5cm} c} +\caption{2D vrste ispune} \label{tab:2d_ispune} \\ +\toprule +\textbf{Naziv} & \textbf{Opis} & \textbf{Slika} \\ +\midrule +\endfirsthead + +\multicolumn{3}{c}{{\bfseries Nastavak Tablice \thetable{} – 2D vrste ispune}} \\ +\toprule +\textbf{Naziv} & \textbf{Opis} & \textbf{Slika} \\ +\midrule +\endhead + +\bottomrule +\endfoot + +Rectlinear & Klasične izmjenične linije po sloju; vrlo brzo i pogodno za punu ispunu. & \includegraphics[width=2.5cm]{media/imgs/infills/rectlinear_infill.jpg} \\ +Poravnati rectlinear & Linije u istom smjeru; učinkovito, ali slabija potpora gornjim slojevima. & \includegraphics[width=2.5cm]{media/imgs/infills/aligned_rectlinear_infill.jpg} \\ +Mreža (Grid) & Križanje linija po sloju; čvrsto, ali sporije zbog preklapanja. & \includegraphics[width=2.5cm]{media/imgs/infills/grid_infill.jpg} \\ +Trokuti & Uzorak s tri smjera linija; jača unutarnja struktura. & \includegraphics[width=2.5cm]{media/imgs/infills/triangles_infill.jpg} \\ +Zvijezde & Varijanta trokuta sa šesterokrakim uzorkom; čvrsto i dekorativno. & \includegraphics[width=2.5cm]{media/imgs/infills/stars_infill.jpg} \\ +Linije & Jednosmjerne linije; vrlo brzo, ali slabije za gornje površine. & \includegraphics[width=2.5cm]{media/imgs/infills/line_infill.jpg} \\ +Koncentrični & Prati konture modela; dobar za fleksibilne ili prozirne isprinte. & \includegraphics[width=2.5cm]{media/imgs/infills/concentric_infill.jpg} \\ +Saće (Honeycomb) & Šesterokutni uzorak s izvrsnom čvrstoćom; sporije i više materijala. & \includegraphics[width=2.5cm]{media/imgs/infills/honeycomb_infill.jpg} \\ +Hilbertova krivulja & Labirintski uzorak; pogodno za lijevanje smolom, ali sporo. & \includegraphics[width=2.5cm]{media/imgs/infills/hilbert_curve_infill.jpg} \\ +Arhimedove žice & Spiralne linije; fleksibilnost i dobra ispunjenost. & \includegraphics[width=2.5cm]{media/imgs/infills/archimedean_chords_infill.jpg} \\ +Oktagram spirala & Ukrasni spiralni uzorak; estetski i funkcionalan za gornje slojeve. & \includegraphics[width=2.5cm]{media/imgs/infills/octagram_spiral_infill.jpg} \\ +Munja (Lightning) & Granati uzorak samo za podršku gornjim slojevima; štedi materijal. & \includegraphics[width=2.5cm]{media/imgs/infills/lightning_infill.jpg} \\ +\end{longtable} + +\vspace{1cm} + +\begin{table}[h!] +\centering +\caption{3D vrste ispune} +\label{tab:3d_ispune} +\begin{tabular}{>{\raggedright\arraybackslash}p{4cm} >{\raggedright\arraybackslash}p{7.5cm} c} +\toprule +\textbf{Naziv} & \textbf{Opis} & \textbf{Slika} \\ +\midrule +Kockasti (Cubic) & Potpuno 3D mreža kocki; izotropna čvrstoća i mogućnost plovnosti. & \includegraphics[width=2.5cm]{media/imgs/infills/cubic_infill.jpg} \\ +Potporni kockasti & Rjeđa varijanta cubic ispune; podržava samo gornje slojeve. & \includegraphics[width=2.5cm]{media/imgs/infills/support_cubic_infill.jpg} \\ +Adaptivni kockasti & Gustoća ovisi o geometriji modela; učinkovit za podršku. & \includegraphics[width=2.5cm]{media/imgs/infills/adaptive_cubic_infill.png} \\ +3D saće & Naizmjenični oktagoni i kvadrati stvaraju vertikalnu potporu. & \includegraphics[width=2.5cm]{media/imgs/infills/3d_honeycomb_infill.jpg} \\ +Gyroid & Glatka 3D površina; izotropna čvrstoća, brzo i učinkovito, moguće lijevanje smolom. & \includegraphics[width=2.5cm]{media/imgs/infills/gyroid_infill.jpg} \\ +\bottomrule +\end{tabular} +\end{table} + +\newpage +\newpage +\printbibliography[title={Literatura}] + +\end{document} diff --git a/radno/literatura.bib b/radno/literatura.bib new file mode 100644 index 0000000..1a396a6 --- /dev/null +++ b/radno/literatura.bib @@ -0,0 +1,32 @@ +@article{kuznetsov2018strengthPLA, + author = {Kuznetsov, Pavel and Solonin, Alexey and Urzhumtsev, Oleksandr and Schilling, Rene and Tavitov, Alexey}, + title = {Strength of PLA Components Fabricated with Fused Deposition Technology Using a Desktop 3D Printer as a Function of Geometrical Parameters of the Process}, + journal = {Polymers}, + year = {2018}, + volume = {10}, + number = {3}, + pages = {313}, + doi = {10.3390/polym10030313} +} +@online{prusaInfillPatterns, + author = {Prusa Research}, + title = {Infill Patterns}, + year = {2023}, + url = {https://help.prusa3d.com/article/infill-patterns_177130}, + note = {Pristupljeno: 16. kolovoza 2025.} +} +@online{hermann2019extrusionwidth, + author = {Hermann, Stefan}, + title = {The Effect of Extrusion Width on Strength and Quality of 3D Prints}, + year = {2019}, + url = {https://www.cnckitchen.com/blog/the-effect-of-extrusion-width-on-strength-and-quality-of-3d-prints}, + note = {Pristupljeno: 16. kolovoza 2025.} +} +@online{clevercreationsInfillStrength, + author = {Clever Creations}, + title = {What is the Strongest Infill Pattern in Cura and PrusaSlicer?}, + year = {2023}, + url = {https://clevercreations.org/what-is-strongest-infill-pattern-cura-prusa/}, + note = {Accessed: 2025-08-16} +} + diff --git a/radno/media/imgs/infills/3d_honeycomb_infill.jpg b/radno/media/imgs/infills/3d_honeycomb_infill.jpg new file mode 100644 index 0000000..256c21f Binary files /dev/null and b/radno/media/imgs/infills/3d_honeycomb_infill.jpg differ diff --git a/radno/media/imgs/infills/adaptive_cubic_infill.png b/radno/media/imgs/infills/adaptive_cubic_infill.png new file mode 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 0.0% ====\n", + "Total Area = 31.1879 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 0.0000 mm²\n", + "I_x = 440.0430\n", + "I_y = 440.0430\n", + "I_xy = -0.0000\n", + "Polar moment, J = 880.0860\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 15.0% ====\n", + "Total Area = 41.5764 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 10.3885 mm²\n", + "I_x = 507.1439\n", + "I_y = 507.1439\n", + "I_xy = -0.0000\n", + "Polar moment, J = 1014.2879\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 30.0% ====\n", + "Total Area = 52.1754 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 20.9874 mm²\n", + "I_x = 567.1050\n", + "I_y = 567.1050\n", + "I_xy = 0.0000\n", + "Polar moment, J = 1134.2101\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 60.0% ====\n", + "Total Area = 71.9147 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 40.7268 mm²\n", + "I_x = 671.7147\n", + "I_y = 671.7147\n", + "I_xy = -0.0000\n", + "Polar moment, J = 1343.4294\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 100.0% ====\n", + "Total Area = 100.2505 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 69.0625 mm²\n", + "I_x = 837.5117\n", + "I_y = 837.5117\n", + "I_xy = -0.0000\n", + "Polar moment, J = 1675.0235\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# ------------------------------\n", + "# Geometry utilities\n", + "# ------------------------------\n", + "\n", + "def _dist_mod(u, spacing):\n", + " \"\"\"Distance to nearest line center in a periodic family with pitch=spacing.\"\"\"\n", + " r = np.mod(u, spacing)\n", + " return np.minimum(r, spacing - r)\n", + "\n", + "def _rectilinear_mask(XX, YY, spacing, line_width, angle_deg=0.0, phase=0.0):\n", + " \"\"\"\n", + " Rectilinear (parallel lines) mask at angle_deg, with true line width.\n", + " Lines are centered where (x cos + y sin + phase) is a multiple of spacing.\n", + " \"\"\"\n", + " th = np.deg2rad(angle_deg)\n", + " # Coordinate along the line-normal direction (u-axis)\n", + " u = XX * np.cos(th) + YY * np.sin(th)\n", + " dist = _dist_mod(u + phase, spacing)\n", + " # Render a line of width 'line_width' around the center => half width threshold\n", + " return dist <= (line_width / 2.0)\n", + "\n", + "def _spacing_for_grid_density(line_width, f):\n", + " \"\"\"\n", + " For a two-axis grid (two orthogonal families of rectilinear lines with true width 'w'),\n", + " the area fraction is f = 2r - r^2 where r = w/s.\n", + " Solve for s: r = 1 - sqrt(1 - f) => s = w / r.\n", + " \"\"\"\n", + " f = float(np.clip(f, 0.0, 1.0))\n", + " if f <= 0.0:\n", + " return np.inf\n", + " if f >= 1.0:\n", + " return line_width # centers are one line_width apart for a \"solid\" raster\n", + " r = 1.0 - np.sqrt(1.0 - f)\n", + " return line_width / r\n", + "\n", + "# ------------------------------\n", + "# Area & inertia on a raster mask\n", + "# ------------------------------\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + "\n", + " if x_vals.size == 0:\n", + " return {\"A\": 0.0, \"x_c\": 0.0, \"y_c\": 0.0, \"I_x\": 0.0, \"I_y\": 0.0, \"I_xy\": 0.0, \"J\": 0.0}\n", + "\n", + " dx = XX[0, 1] - XX[0, 0]\n", + " dy = YY[1, 0] - YY[0, 0]\n", + " dA = dx * dy\n", + "\n", + " A = x_vals.size * dA\n", + " x_c = float(np.mean(x_vals))\n", + " y_c = float(np.mean(y_vals))\n", + "\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = float(np.sum(y_shift**2) * dA)\n", + " I_y = float(np.sum(x_shift**2) * dA)\n", + " I_xy = float(np.sum(x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return {\"A\": A, \"x_c\": x_c, \"y_c\": y_c, \"I_x\": I_x, \"I_y\": I_y, \"I_xy\": I_xy, \"J\": J}\n", + "\n", + "# ------------------------------\n", + "# Main: Prusa-style rectilinear/grid with shells\n", + "# ------------------------------\n", + "\n", + "def prusa_style_grid_or_rectilinear(\n", + " width, height,\n", + " infill_fraction,\n", + " line_width=0.42,\n", + " shell_layers=2,\n", + " base_infill_angle_deg=45.0,\n", + " grid=True, # True = \"Grid\" (two passes 90° apart in same layer). False = Rectilinear (one pass).\n", + " z_height=0.0, # used for optional phase shift if desired\n", + " phase_per_mm=0.0, # set >0 to phase-shift infill vs Z (like alternating)\n", + " N=800,\n", + " plot=True,\n", + " verbose=True\n", + "):\n", + " \"\"\"\n", + " width, height: mm, outer dimensions of a rectangle (centered at origin)\n", + " infill_fraction: 0..1\n", + " line_width: true extrusion width (mm)\n", + " shell_layers: number of perimeters (each line_width wide)\n", + " base_infill_angle_deg: angle of first rectilinear pass\n", + " grid: True => add a second pass at +90° (Prusa \"Grid\"); False => single rectilinear pass\n", + " z_height: current Z (mm)\n", + " phase_per_mm: optional phase (mm) added along 'u' per mm Z (0 disables shifting)\n", + " \"\"\"\n", + "\n", + " # Grid for rasterization\n", + " xs = np.linspace(-width/2, width/2, N)\n", + " ys = np.linspace(-height/2, height/2, N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " # ----- Shells as true lines (perimeter loops), centered inside by 0.5*w\n", + " shell_mask = np.zeros_like(XX, dtype=bool)\n", + " for i in range(shell_layers):\n", + " off = (i + 0.5) * line_width # center each perimeter inside the outline\n", + "\n", + " # vertical walls: x = -W/2+off, x = +W/2-off\n", + " shell_mask |= np.abs(XX - (-width/2 + off)) <= (line_width / 2)\n", + " shell_mask |= np.abs(XX - ( +width/2 - off)) <= (line_width / 2)\n", + "\n", + " # horizontal walls: y = -H/2+off, y = +H/2-off\n", + " shell_mask |= np.abs(YY - (-height/2 + off)) <= (line_width / 2)\n", + " shell_mask |= np.abs(YY - ( +height/2 - off)) <= (line_width / 2)\n", + "\n", + " # Inner rectangle where infill is allowed\n", + " inner_offset = shell_layers * line_width\n", + " inner_rect = (\n", + " (np.abs(XX) <= (width/2 - inner_offset)) &\n", + " (np.abs(YY) <= (height/2 - inner_offset))\n", + " )\n", + "\n", + " # ----- Infill\n", + " if infill_fraction <= 0.0:\n", + " infill_mask = np.zeros_like(XX, dtype=bool)\n", + " spacing = np.inf\n", + " elif infill_fraction >= 1.0:\n", + " # \"solid\" raster in both directions\n", + " spacing = line_width\n", + " masks = []\n", + " angles = [base_infill_angle_deg] + ([base_infill_angle_deg + 90.0] if grid else [])\n", + " phase = phase_per_mm * z_height\n", + " for a in angles:\n", + " masks.append(_rectilinear_mask(XX, YY, spacing, line_width, angle_deg=a, phase=phase))\n", + " infill_mask = np.logical_or.reduce(masks) & inner_rect\n", + " else:\n", + " spacing = _spacing_for_grid_density(line_width, infill_fraction) if grid \\\n", + " else line_width / infill_fraction # 1-axis rectilinear density\n", + " masks = []\n", + " angles = [base_infill_angle_deg] + ([base_infill_angle_deg + 90.0] if grid else [])\n", + " phase = phase_per_mm * z_height\n", + " for a in angles:\n", + " masks.append(_rectilinear_mask(XX, YY, spacing, line_width, angle_deg=a, phase=phase))\n", + " infill_mask = np.logical_or.reduce(masks) & inner_rect\n", + "\n", + " final_mask = shell_mask | infill_mask\n", + "\n", + " # ----- Plot\n", + " if plot:\n", + " plt.figure(figsize=(6, 6))\n", + " img = np.where(final_mask, 1.0, np.nan)\n", + " plt.imshow(img, origin='lower',\n", + " extent=[-width/2, width/2, -height/2, height/2],\n", + " interpolation='nearest')\n", + " title = \"Grid\" if grid else \"Rectilinear\"\n", + " plt.title(f\"{title} @ {infill_fraction*100:.1f}% | shells={shell_layers}×{line_width:.2f} angle={base_infill_angle_deg:.0f}°\")\n", + " plt.xlabel(\"X (mm)\")\n", + " plt.ylabel(\"Y (mm)\")\n", + " plt.gca().set_aspect('equal', 'box')\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " # ----- Numbers\n", + " if verbose:\n", + " total = compute_area_moments(XX, YY, final_mask)\n", + " shells = compute_area_moments(XX, YY, shell_mask)\n", + " A_infill = total[\"A\"] - shells[\"A\"]\n", + " print(f\"==== {('Grid' if grid else 'Rectilinear')} Infill {infill_fraction*100:.1f}% ====\")\n", + " print(f\"Total Area = {total['A']:.4f} mm²\")\n", + " print(f\"Shell Area = {shells['A']:.4f} mm²\")\n", + " print(f\"Infill Area = {A_infill:.4f} mm²\")\n", + " print(f\"I_x = {total['I_x']:.4f}\")\n", + " print(f\"I_y = {total['I_y']:.4f}\")\n", + " print(f\"I_xy = {total['I_xy']:.4f}\")\n", + " print(f\"Polar moment, J = {total['J']:.4f}\")\n", + " print()\n", + "\n", + " return final_mask # boolean raster of the slice\n", + "\n", + "# ------------------------------\n", + "# Demo\n", + "# ------------------------------\n", + "if __name__ == \"__main__\":\n", + " W = 10.0\n", + " H = 10.0\n", + " shells = 2\n", + " wline = 0.42\n", + "\n", + " # Try a few densities like a slicer preview\n", + " for f in [0.00, 0.15, 0.30, 0.60, 1.00]:\n", + " prusa_style_grid_or_rectilinear(\n", + " width=W, height=H,\n", + " infill_fraction=f,\n", + " line_width=wline,\n", + " shell_layers=shells,\n", + " base_infill_angle_deg=45.0, # typical default\n", + " grid=True, # True => \"Grid\", False => single rectilinear\n", + " z_height=0.0, # set >0 and phase_per_mm>0 to shift with Z\n", + " phase_per_mm=0.0,\n", + " N=800,\n", + " plot=True,\n", + " verbose=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "9514c26c-f86b-475a-98cb-68aa20f27ac5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Infill max area: 30.99 mm² at z = 0.00 mm\n", + "Infill min area: 30.99 mm² at z = 0.00 mm\n", + "Shell area (at min): 30.84 mm²\n", + "Infill area ratio: 0.00 %\n", + "Total area ratio: 0.00 %\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# --- Analysis block: Area & Moments vs Height for Prusa-style Grid ---\n", + "\n", + "from scipy.signal import argrelextrema\n", + "\n", + "# Parameters\n", + "width = 10.0\n", + "height = 10.0\n", + "infill_fraction = 0.44\n", + "shell_layers = 2\n", + "line_thickness = 0.42\n", + "base_infill_angle_deg = 45.0\n", + "use_grid = True # True => Grid (two passes 90° apart in same layer)\n", + "phase_per_mm = 0.0 # set >0 to shift infill vs Z; 0 keeps pattern fixed\n", + "N = 1000 # raster resolution (match function call)\n", + "\n", + "z_heights = np.linspace(0, 20, 100)\n", + "\n", + "# Utility: rebuild the *same* shell mask used by the generator\n", + "def build_shell_line_mask(XX, YY, width, height, line_width, shell_layers):\n", + " shell_mask = np.zeros_like(XX, dtype=bool)\n", + " for i in range(shell_layers):\n", + " off = (i + 0.5) * line_width # center each perimeter inside the outline\n", + "\n", + " # vertical walls: x = -W/2+off, x = +W/2-off\n", + " shell_mask |= np.abs(XX - (-width/2 + off)) <= (line_width / 2)\n", + " shell_mask |= np.abs(XX - ( +width/2 - off)) <= (line_width / 2)\n", + "\n", + " # horizontal walls: y = -H/2+off, y = +H/2-off\n", + " shell_mask |= np.abs(YY - (-height/2 + off)) <= (line_width / 2)\n", + " shell_mask |= np.abs(YY - ( +height/2 - off)) <= (line_width / 2)\n", + " return shell_mask\n", + "\n", + "areas = []\n", + "shell_areas = []\n", + "infill_areas = []\n", + "I_xs = []\n", + "I_ys = []\n", + "Js = []\n", + "\n", + "for z in z_heights:\n", + " # Generate the infill/shell mask for this Z (plot/verbose disabled)\n", + " mask = prusa_style_grid_or_rectilinear(\n", + " width=width, height=height,\n", + " infill_fraction=infill_fraction,\n", + " line_width=line_thickness,\n", + " shell_layers=shell_layers,\n", + " base_infill_angle_deg=base_infill_angle_deg,\n", + " grid=use_grid,\n", + " z_height=z,\n", + " phase_per_mm=phase_per_mm,\n", + " N=N,\n", + " plot=False,\n", + " verbose=False\n", + " )\n", + "\n", + " # Rebuild the *same* raster grid used inside the function (match mask shape)\n", + " Ny, Nx = mask.shape\n", + " xs = np.linspace(-width / 2, width / 2, Nx)\n", + " ys = np.linspace(-height / 2, height / 2, Ny)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " # Build the *same* shell-line mask for correct shell area\n", + " shell_mask = build_shell_line_mask(XX, YY, width, height, line_thickness, shell_layers)\n", + "\n", + " # Area/moments\n", + " mtot = compute_area_moments(XX, YY, mask)\n", + " mshell = compute_area_moments(XX, YY, shell_mask)\n", + "\n", + " A_total = mtot[\"A\"]\n", + " A_shell = mshell[\"A\"]\n", + " A_infill = A_total - A_shell\n", + "\n", + " areas.append(A_total)\n", + " shell_areas.append(A_shell)\n", + " infill_areas.append(A_infill)\n", + " I_xs.append(mtot[\"I_x\"])\n", + " I_ys.append(mtot[\"I_y\"])\n", + " Js.append(mtot[\"J\"])\n", + "\n", + "# Convert to NumPy for analysis\n", + "z_np = np.asarray(z_heights)\n", + "areas_np = np.asarray(areas)\n", + "\n", + "# Local maxima/minima (may be empty if phase_per_mm=0 gives flat lines)\n", + "max_indices = argrelextrema(areas_np, np.greater)[0]\n", + "min_indices = argrelextrema(areas_np, np.less)[0]\n", + "\n", + "# Global max/min\n", + "i_max = int(np.argmax(areas_np))\n", + "i_min = int(np.argmin(areas_np))\n", + "print(f\"Infill max area: {infill_areas[i_max]:.2f} mm² at z = {z_np[i_max]:.2f} mm\")\n", + "print(f\"Infill min area: {infill_areas[i_min]:.2f} mm² at z = {z_np[i_min]:.2f} mm\")\n", + "print(f\"Shell area (at min): {shell_areas[i_min]:.2f} mm²\")\n", + "\n", + "infill_peak_area_ratio = (infill_areas[i_max] / max(infill_areas[i_min], 1e-12) - 1) * 100\n", + "print(f\"Infill area ratio: {infill_peak_area_ratio:.2f} %\")\n", + "\n", + "total_peak_area_ratio = (areas_np[i_max] / max(areas_np[i_min], 1e-12) - 1) * 100\n", + "print(f\"Total area ratio: {total_peak_area_ratio:.2f} %\")\n", + "\n", + "# -------------------\n", + "# Plotting\n", + "# -------------------\n", + "fig, axs = plt.subplots(2, 1, figsize=(10, 8), sharex=True)\n", + "\n", + "# Area plot\n", + "axs[0].plot(z_np, areas_np, label=\"Total Area\", linewidth=2)\n", + "axs[0].plot(z_np, shell_areas, label=\"Shell Area\", linestyle='--')\n", + "axs[0].plot(z_np, infill_areas, label=\"Infill Area\", linestyle='-.')\n", + "\n", + "# Scatter markers (if any)\n", + "if max_indices.size:\n", + " axs[0].scatter(z_np[max_indices], areas_np[max_indices], color='red', label=\"Local Max\", zorder=5)\n", + "if min_indices.size:\n", + " axs[0].scatter(z_np[min_indices], areas_np[min_indices], color='blue', label=\"Local Min\", zorder=5)\n", + "\n", + "axs[0].set_ylabel(\"Area (mm²)\")\n", + "axs[0].legend()\n", + "title_name = \"Grid\" if use_grid else \"Rectilinear\"\n", + "axs[0].set_title(f\"Area vs Height for {infill_fraction*100:.1f}% {title_name} Infill\")\n", + "\n", + "# Moments plot\n", + "axs[1].plot(z_np, I_xs, label=\"I_x\", linewidth=2)\n", + "axs[1].plot(z_np, I_ys, label=\"I_y\", linestyle='--')\n", + "axs[1].plot(z_np, Js, label=\"Polar moment J\", linestyle='-.')\n", + "axs[1].set_xlabel(\"Z Height (mm)\")\n", + "axs[1].set_ylabel(\"Moment of Inertia\")\n", + "axs[1].legend()\n", + "axs[1].set_title(\"Moments of Inertia vs Height\")\n", + "\n", + "plt.tight_layout()\n", + "axs[1].tick_params(axis='x', labelrotation=0, labelsize=10)\n", + "axs[1].set_xticks(np.linspace(z_np.min(), z_np.max(), 11))\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.13.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/software/.ipynb_checkpoints/GYROID-checkpoint.ipynb b/software/.ipynb_checkpoints/GYROID-checkpoint.ipynb new file mode 100644 index 0000000..227cd23 --- /dev/null +++ b/software/.ipynb_checkpoints/GYROID-checkpoint.ipynb @@ -0,0 +1,500 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 14, + "id": "d5e79bb2-9fc5-4a71-82e2-14ce475e7a5d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "density=0.10 shell=2x0.42mm\n", + " A_shell = 30.78 mm^2\n", + " L_infill = 15.10 mm\n", + " A_infill = 6.34 mm^2\n", + " A_total = 37.12 mm^2\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "density=0.15 shell=2x0.42mm\n", + " A_shell = 30.78 mm^2\n", + " L_infill = 28.05 mm\n", + " A_infill = 11.78 mm^2\n", + " A_total = 42.56 mm^2\n" + ] + }, + { + "data": { + "image/png": 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WkFz3OkJOWFgYiqIQGhpKpUqVHinPY489xmOPPcbkyZNZsmQJPXv25JdffmHgwIH5foyCvh+fe+65e25u+a++fftmH2Eq65+LgwcP5vh8unnzJtevX2fQoEH5zvswFEXh8uXLuQY4WgvZhlnIRo8ejaurKwMGDODWrVu5fn6vJaxatWpRq1Ytvvnmm+wd0PO739qTTz5JZGRkjqO8ZGZmMmvWLNzd3WnVqlWe99NqtXTq1Inff/+dq1evZk8/ffp0vnZItmVGo5H4+Pgc0/z8/AgICMhzdVaWJ598kszMzBw7gBuNxlzbFf38/GjdujXz588nIiIi1+Pcvn37gRmXLVvGG2+8Qc+ePfn8888fePu8/PjjjyQmJmZfX758OREREdn/ENSvX5+wsDA+/fTTPDc15CdnUShIrqz9Ue/etee5555Dq9UyYcKEXO9LRVGIiYl5YI64uLhc980qpfu9TvJS0Pfjw2zDrF69OlWqVGHBggUYjcbs6XPnzkWj0dC9e/fsafHx8Zw5cybX+yC/8nptzJ07l9u3b/P4448/1GOqTZYwC1nFihVZsmQJL730EpUrV84+0o+iKISHh7NkyRIcHBwoW7Zsrvv26dOHt99+GyDP1bH3MmjQIObPn0+/fv04dOgQISEhLF++nL///puZM2fm2g76XxMmTGDdunW0aNGCoUOHZhdt9erV7foQfomJiZQtW5bu3btTu3Zt3N3d2bRpEwcOHOCzzz675/26dOlCs2bNGDNmDJcvX6ZatWqsXLkyzw+d2bNn07x5c2rWrMmrr75K+fLluXXrFnv27OH69escO3bsns+zf/9++vTpg6+vL+3atePnn3/O8fOmTZved1trFh8fH5o3b07//v25desWM2fOpEKFCrz66qsAODg48M033/DEE09QvXp1+vfvT2BgIDdu3GDr1q14enqyZs2aBz5PYStIrqxtfR988AEvvvgiOp2OLl26EBYWxqRJk3jvvfe4fPkyXbt2xcPDg/DwcFatWsWgQYOy34/38sMPPzBnzhyeffZZwsLCSExMZOHChXh6evLkk09m365fv3788MMP2Tv930tB3o8Psw0TzKuxn376aTp27MiLL77IP//8w9dff83AgQOzxz0ArFq1iv79+7No0aLsfaQBFi9ezJUrV0hJSQFgx44dTJo0CYDevXtnr9EKDg7mhRdeoGbNmjg7O7Nr1y5++eUX6tSpw+DBgx8qu+pUGZtrBy5cuKAMGTJEqVChguLs7Ky4uLgoVapUUV577TXl6NGjed4nIiJC0Wq1SqVKlfL8eatWrZTq1avn+bNbt24p/fv3V0qWLKk4OTkpNWvWzLELQxbyGAa+fft2pX79+oqTk5NSvnx5Zd68eXnuBpCXe+1WMmPGjAc+t5q7leS1u0hwcHD2EPz09HTlnXfeUWrXrq14eHgobm5uSu3atZU5c+Y8MGtMTIzSu3dvxdPTU/Hy8lJ69+6tHDlyJNduJYqiKBcvXlT69OmjlClTRtHpdEpgYKDy1FNPKcuXL7/v75X1+9/rK6+//X9l7VaydOlS5b333lP8/PwUFxcXpXPnzjl2achy5MgR5bnnnlN8fX0VvV6vBAcHKz169FA2b96cfZuseX379u1c98/v3+Fer5+svL/99luBcymKokycOFEJDAxUHBwccr1uVqxYoTRv3lxxc3NT3NzclCpVqijDhg1Tzp49m32be733Dh8+rLz00ktKUFCQotfrFT8/P+Wpp55SDh48mON23bp1U1xcXJS4uLhcj3G3R3k/5teqVauUOnXqKHq9Xilbtqzy4YcfKhkZGTluk/Uau/u1dL/dWbZu3Zp9u4EDByrVqlVTPDw8FJ1Op1SoUEF59913c+wuZG00imIhozAE0dHR+Pv789FHH91z5KQQhWHbtm20adOG3377LcdqOFE0SpcuTZ8+fZgxY4baUcQjkG2YFuT777/HaDQW+khHIYR6Tp48SWpq6kMNyhKWRbZhWoAtW7Zw6tQpJk+eTNeuXQvtOKpCCPVVr149+6AmwrpJYVqAjz/+mN27d9OsWbMCHaVFCCFE8VF1leyOHTvo0qULAQEBaDQafv/99xw/VxSFjz76CH9/f1xcXGjfvn2e+yhZu23btpGRkcHWrVvzfWQXIR5F69atURRFtl8KUQCqFmZycjK1a9fOcVzV/5o+fTpfffUV8+bNY9++fbi5udGpUyfS0tKKOakQQgh7ZzGjZDUaDatWraJr166AeekyICCAt956K3tfqPj4eEqXLs3333/Piy++qGJaIYQQ9sZit2GGh4cTGRmZ47BXXl5eNG7cmD179tyzMNPT03McYcNkMhEbG4uvr+89D5ElhBDCNimKQmJiIgEBAblOUFFQFluYWSfCvftEo6VLl87+WV6mTp3KhAkTijSbEEII63Lt2rU8j7BWEBZbmA/rvffeY9SoUdnX4+PjCQoK4ty5c/j4+KiYzHoYDAa2bt1KmzZtcp3iSORN5lnByTwrOJlnBRcbG0ulSpXue4jQ/LLYwixTpgwAt27dyj4lTdb1e53OB8wnRs3rPHQ+Pj74+voWek5bZDAYcHV1xdfXV96U+STzrOBknhWczLOHVxib5Cz2SD+hoaGUKVOGzZs3Z09LSEhg3759NGnSRMVkQggh7JGqS5hJSUlcuHAh+3p4eDhHjx7Fx8eHoKAgRo4cyaRJk6hYsSKhoaGMHTuWgICA7JG0QgghRHFRtTAPHjxImzZtsq9nbXvMOuHp6NGjSU5OZtCgQdy5c4fmzZuzbt06nJ2d1YoshBDCTqlamFlHG7kXjUbDxx9/zMcff1yMqYQQQojcLHYbphBCCGFJpDCFEEKIfJDCFEIIIfJBClMIIYTIBylMIYQQIh+kMIUQQoh8kMIUQggh8kEKUwghhMgHKUwhhBAiH6QwhRBCiHyQwhRCCCHyQQpTCCGEyAcpTCGEECIfpDCFEEKIfJDCFEIIIfJBClMIIYTIBylMIYQQIh+kMIUQQoh8kMIUQggh8kEKUwghhMgHKUwhhBAiH6QwhRBCiHyQwhRCCCHywVHtALZOURRSDUa1YxSIwZBJuhFSMjLRKRq14xSNpChw9yu0h7OLefYfcWmxKICPs89DP4a9zbPCYK3zzEWnRaOxnrz3olEURVE7RFFKSEjAy8uL6OhofH19i/W5FUWh+7w9HLoSV6zPK+7PkySO6gdzVfHjyYyppOCsdiSronW5hHPgL5jS/Ui9NgBZUSUepEGwN7+91kSV0oyJiaFkyZLEx8fj6en5SI8lS5hFKNVglLK0QI0czuKgUTAqDlKWBWLCyXcrTqU2odEoKCY9GscklMxH+xAStu/glThSDUZcnay7cqw7vRU5+GF7XJ20asfIF4PBwPr1G+jUqSM6nU7tOIVOt2kn7Ieg+p049USnQnlMW59n0am3mbBnLPtv7QOgc2gX3q4/Bled60M/pq3Ps6JgbfMsJcNIg0mb1I5RaKQwi4mrk9Zq/rsyaBT0WnB1ckSns47M+ZYWD//8CoCuQht0hfQ3seV5tvXqVj7a/RF30u/g4ujCB40/4JkKzzzy49ryPCsqMs/UJXNc2Jedn0FKDJSsDFWeUjuNRUvNTOXTA5/y6znzPxhVfKowreU0ynuVVzmZEOqQwhT2I+4y7J1rvtxxImjl5X8vp2NO8+7OdwmPDwegX/V+vF73dZy0TionE0I98okh7MemCWDMgNBWULGj2mkskkkx8ePJH/nyyJdkmjLxc/FjUvNJNAloonY0IVQnhSnsw7X9cHIloIFOk8EG9gkrbFEpUXyw6wP2RuwFoG25tkxoOoESziXUDSaEhZDCFLZPUWD9++bLdXtCmZrq5rFAm69uZvzu8dxJv4Oz1pnRjUbTvWJ3m9jZXIjCIoUpbN/JVXD9AOjcoM2HaqexKCmGFGYcnMHyc8sBqOpTlU9afiIDe4TIgxSmsG13rsH6D8yXm40AT39181iQUzGneHfHu1xOuIwGDf1q9OP1Oq+j01r+/n1CqEEKU9iuhJvww1OQeBN8K0DT4WonsggmxcQPJ3/gqyNfZQ/smdJiCo39G6sdTQiLJoUpbFPiLfihi3lXEu8Q6LManNzUTqW6W8m3+ODvD9gXYT5iT7ugdoxvMl4G9giRD1KYwvYkR8OPT0PMBfAqB33XgFeg2qlUt/nKZsbtGUd8ejwuji682/Bdnqv4nAzsESKfpDCFbUmJhR+fgdtnwCMA+q6GEkFqp1JViiGF6Qems+L8CgCq+VbjkxafEOoVqnIyIayLFKawHal3YHFXuPUPuPmZy9LHvkd7now5yZgdY7IH9vSv0Z/hdYbLwB4hHoIUprANaQnwUzeIOAauJc2rYUtWVDuVakyKie9Pfs+sI7PMA3tc/ZjafCqN/BupHU0IqyWFKaxfahwsfQluHAQXb+jzB/hVUTuVamLTYhm9fTT7Is0De9oHtWdck3EysEeIRySFKaxb+E5YNRgSboDeC3r/DmVqqJ1KNXfS7jBww0DOx53HxdGFMY3G8GyFZ2VgjxCFQApTWKfMDNg2BXbNBBTwCYPnF4F/bbWTqSYhI4FBGwdxPu48JV1K8m3Hbylfwr634QpRmKQwhfWJvgArB8LNI+br9fpAp6mgd1c3l4qSMpJ4beNrnI49jY+zD990/EbKUohCJoUprIeiwJHF8Ne7YEgB5xLw9FdQ7Rm1k6kqxZDC0M1DORF9ghL6EizsuJCwEmFqxxLC5khhCuuQEgtrRsDp1ebrIS3g2fl2f0CC1MxUhm8ZzpGoI3g4ebCgwwIqeVdSO5YQNkkKU1i+8B2wcrD5mLAOjtB2LDR9HRy0aidTVboxnRFbRnAg8gBuOjfmt59PVd+qascSwmZJYQrLlZkBWyfD318CivkA6t2+gYC6aidTXYYxgze3vsmeiD24OLowr/08apaS83wKy6NRQLGRQdpSmMIyRZ+HFQMh4qj5er2+8PhUOYD6vybsmcDOGztx1jozu91s6vjVUTuSELlEX02kX6Keja4GtaMUCilMYVkUBQ7/COvGmAf2uHjD07Ogahe1k1mMo1FHWX1xNRo0fNn2SxqWaah2JCFyUEwKRzZeZd/qS5Q0OdAy1RFFUdSO9cikMIXlSImFNW/A6TXm66EtzQN7PAPUzWVBFEVhxsEZADxb8VmaBjRVOZEQOSXFpbHp+9PcOBsHwDmdkfUuGXxoAwfPkMIUluHSdlj12r8De3TQbiw0eR0cHNROZlHWX17P8dvHcXF0YXgdOSG2sCwXj0SxdfEZ0lMycXRyoHG3MGb8eRysvysBKUyhtswM2DIRds/CPLCn4r8De+qonczipBvT+eLQFwAMqDGAUq6lVE4khFlGWia7fjvP6b8jAPAL9qDDgOo4eTvBX8dVTld4pDCFeqLPw4pXzGcYAajfDzpNkYE99/Dz6Z+5mXwTP1c/+lbvq3YcIQCIupLAhm9PEh+VChqo1zGYRl1C0To6kJKRqXa8QiWFKYqfosDhH2DdezKwJ59i02JZeHwhACPqjcDF0UXlRMLemUwKRzdeZd8flzCZFNxK6GnfvxplK3urHa3ISGGK4pUSC6tfhzNrzddDW/07sMdf3VwWbs7ROSQZkqjqU5Wnyj+ldhxh55Li0ti06BQ3zt0BIKxeKVr3rIKzm22fmFwKUxSfq3th+SuQcN08sKf9OHhsmAzseYCEjARWnFsBwDsN38FBI/NLqOfyiWg2f3+atGQDjnotLV+oSJUm/nZxCjkpTFH0TCb4eyZsmQSKUU7FVUCHbx0mU8kk2DNY9rkUqjEaTez7/RJHNl4FoFSQBx1fqU6J0q4qJys+UpiiaCVHm0/wfGGT+XrN5+GpL0DvoW4uK3Ig8gCAlKVQTUJMKhu+Ocmt8AQAarYpS7PnKqDV2dfaDilMUXQu7zIf3i4xAhyd4ckZULc32MGqm8KUXZilpTBF8bt09DZbfjxNekomTi6OtO1ThbC6fmrHUoUUpih8JiPs/Ay2TQXFBCUrw/PfQ+lqaiezOvHp8ZyJPQNAgzINVE4j7Ikx08TulRc4vuU6AH4hnnQaWB3PkvY7QlsKUxSuxFuw8lUI326+XqeneclS9q18KIdvHUZBIcQzBD9X+/yvXhS/+NupbPjmH6KuJAJQp305HusahtbRvlbB3k0KUxSeS9tgxauQHAU6V+j8OdR5Se1UVu3ALdl+KYrXhUNRbF18mow0I3o3R9r1rUZorZJqx7IIUpji0SkK7PoCNn8MKOBXzbwKtlRltZNZvYORBwEpTFH0TCaF3SsucGzzNQDKlPei48DqePg4q5zMckhhikdjMsKf78DBb83X6/WFJ6aBzn63cxSmywmXAajmK9t/RdHJNBjZtOgUFw/fBqBepyAaPV0erda+V8HezaLnhtFoZOzYsYSGhuLi4kJYWBgTJ060ifOq2QRDKvza59+y1MAT0+Hpr6QsC4nRZCQ1MxUAd527ymmErUpLNrDmq2NcPHwbB62Gjq9Up8mzFaQs82DRS5jTpk1j7ty5/PDDD1SvXp2DBw/Sv39/vLy8eOONN9SOZ99SYmHJC3B9P2j10G0hVHtG7VQ2JassAdx0MmhKFL7E2DTWzDpGXEQyTs5anhhSy6aPBfuoLLowd+/ezTPPPEPnzp0BCAkJYenSpezfv1/lZHYu7jL81B1izoOzF7y0DIKbqJ3K5iQbkgHQarTotXqV0whbE309ibWzjpIcn4GblxNd3qiDb6Csybgfiy7Mpk2bsmDBAs6dO0elSpU4duwYu3bt4vPPP7/nfdLT00lPT8++npBgPjKFwWDAYDAUeeb/Mhgy/3PZgEFjHauSs+ZTnvMr8jiOv7yIJjkKxTOQzBd/NQ/uKeZ5a2nuO88eUkKa+bXr4uhCZqZtnSYJimae2brCmmc3z91h/cJTGNKMeJdx5Ykh1XH30Rf638ISPgML83ey6MIcM2YMCQkJVKlSBa1Wi9FoZPLkyfTs2fOe95k6dSoTJkzINX3r1q24uhbvMQ/TjZA1i9ev34BeW6xP/8g2btyY43qphH9oFP4VGlMa8c7l2FvuLdIOXAQuqhPQAt09zx7FjcwbADhkOvDnn38W2uNamsKcZ/biUeZZyk1HYo87g6LByTsTlxq32LH3ViGm+x9L+AxMSUkptMey6ML89ddf+fnnn1myZAnVq1fn6NGjjBw5koCAAPr2zfsEuu+99x6jRo3Kvp6QkEC5cuVo06YNvr6+xRUdgJSMTEbv3wJAp04dcXWy6NmdzWAwsHHjRjp06IBOZz5dj+bEr2jXfo7GlIkppAWu3X6grbOnykktR17z7FEdvHUQNoOvhy9PPvlkoTymJSmKeWbrHnWeHd9ynb3HwgEIrVOSNn0q41iEx4O1hM/AmJiYQnssi/4Ef+eddxgzZgwvvvgiADVr1uTKlStMnTr1noWp1+vR63Nv79HpdMX+ptQp/ztmqvn5LXp255I9z47/CquHmifW6I5D17k4ODqpG85CFebrzIB5VZKzo7NNF4oa701r9zDz7Oimq+xdZS7LWm3K0vz5imgciva4zpbwGViYry2L/gRPSUnB4a5zJWq1Wkwmk0qJ7NCFTfD7EPPlhq+adx2R81cWC2+9ebRidGq0ykmEtTu7L5K/l18AoPHTodR/IsQuzl9Z2Cy6MLt06cLkyZMJCgqievXqHDlyhM8//5wBAwaoHc0uaG4chmV9wJQJNbpLWRazch7lALidepvUzFRcHGX/VlFwV07GsOWH0wDUbldOyvIRWHRhzpo1i7FjxzJ06FCioqIICAhg8ODBfPTRR2pHs3nuaRFof30TDMlQvg10nStlWcy89F546DxINCRyPfE6Fb0rqh1JWJnI8HjWzT+ByaRQsWFpmnWrIGX5CCy6MD08PJg5cyYzZ85UO4p9SYygycUZaDJiIKAuvLAYZJtlsdNoNJT1KMvp2NNcS7wmhSkKJC4ymf/7+jiZGSbKVfOhXd+qRb7N0tbJIoPIKfUOjkt74JoRjeJTHl7+DfQeaqeyW1mrZa8lXlM5ibAmSXHprP7qKGnJBvyCPXh8UA27PzVXYZA5KP7HkApLX0Jz+zRpjl5kvvQbuJdSO5Vdk8IUBZWWbGDNrKMkxaZTorQrTw2vjZOzRa9MtBpSmMLMZDKf+PnqbhS9B3sqvAMlgtVOZfeyCvN64nWVkwhrYMw08efc48TeTMbVy4kur9fGxUM2pxQWKUxhtm8enF4DWieMz/9EgkuQ2okEsoQpCmbf6ktEXIjHyVlLl9fr4FlSRlYXJilMARHHYNM48+VOU1CCm6mbR2TLKsybSTfJNNne8WRF4bl2KpYjG64C0K5vNUqWlQOpFzYpTHuXkQzLXwFjBlTuDA0Hqp1I/Iefqx86Bx2ZSiaRyZFqxxEWKjUxg03fnwKgestAyteVsQdFQQrT3v31rvk0XR4B8MzXIPtoWRStg5ayHmUBWS0r8qYoCpt/PE1KQgbe/m40615B7Ug2SwrTnv2zEo4sBjTw3AJw9VE7kciDbMcU93N863WunIhB6+hAp4HV0TlZ2WmRrIgUpr2KuwJrRpovt3gLQluoGkfcmxSmuJfb1xLZvdJ8jNhm3SvICaCLmBSmPTJmmnchSY+Hsg2h9Ri1E4n7kMIUeTGkG9n47UlMmQohtUpSo1Wg2pFsnhSmPdo3F67tA70ndPsGtHJqJUuWVZiX4y+rG0RYlP1rLhEXmYKblxNt+1SRY8QWAylMe5MWDzs/M1/uNBm8Q1SNIx6sRskaOGgcuBh/kZtJN9WOIyxAUlw6J7bdAKB1ryq4uMvBCYqDFKa92TMHUuOgZCWo01PtNCIffJx9qOdXD4DNVzernEZYgsPrr2LMNBFQsQTBNXzVjmM3pDDtSUos7JltvtzmfXCQ0XTWon1wewA2XdmkchKhtsxkDWf33AKg8TPlZVVsMZLCtCe7voCMRChTE6o+o3YaUQDtgtoBcCTqCNGp0SqnEWpKuKBHMSkEVfchoEIJtePYFSlMe5EYCfsXmi+3HSsng7YyZdzKUN23OgoKW69tVTuOUElsRDIpN81nHmn8dHmV09gf+dS0Fzs+hcxUKNsIKnZUO414CFmrZWU7pv06+H9XAA0htX3xC/ZUO47dkcK0B3FX4ND35svtxsrh76xU1mrZfRH7SMhIUDmNKG5RVxK4fCwGUGjQWU69pwYpTHuwfTqYDBDaCkJbqp1GPKRQr1DCvMLINGWy4/oOteOIYrZv9SUAXAMy8fF3UzmNfZLCtHW3z8GxJebL7T5SN4t4ZO2CzUuZm6/Iall7cvP8Ha6ejEXjoMGzQrraceyWFKat2zYFFBNUfhLKNlA7jXhE7YPM2zF33dhFamaqymlEcVAUhb1/XASgSpPSOLopKieyX1KYtiziOJxcBWigzQdqpxGFoIpPFQLdA0kzprH7xm6144hicO1ULBEX4tE6OlC3U5DaceyaFKYt2zrZ/L3Gc1CmhrpZRKHQaDTZg382XZWDGNg6RVGyt13WaBWIu7de5UT2TQrTVl07AOfWgUYLrd9XO40oRFm7l2y/th2D0aByGlGUwo9GE3UlEUe9lnqdZGSs2qQwbdWWj83f67wEJeUM7Lakdqna+Dr7kmhI5EDkAbXjiCJiMinsW2NeuqzdtiyunnKAdbVJYdqiK3sgfAc46KDVu2qnEYXMQeNA26C2APx1+S+V04iicunIbWJvJqN3daRuB9l2aQmkMG3RP8vN32v1gBLyRrNFXcK6ALD24lo5sbSNOn/AfID16i0D0bvKOWstgRSmrTGZ4PRa8+Xqz6qbRRSZun51aeLfhEwlk3nH5qkdRxQyQ7qRqydjAKhQ30/lNCKLFKatuXEQkiJB7ylH9bFxr9d9HYC1l9Zy6c4lldOIwnT1VAyZBhOeJZ0pWdZd7TjiX1KYtub0avP3Sp3AUYag27KapWrSplwbTIqJr49+rXYcUYguHbkNQPk6peR8lxZECtOWKAqcXmO+XLWLullEsRhedzgaNGy8spHTMafVjiMKgTHTxOXj5nOelq8rq2MtiRSmLbn1D8RdBkdnqNBe7TSiGFTyrsQToU8AMOvILJXTiMJw/WwcGWlGXD2dKBMqp/CyJFKYtiRr6TKsHTjJ2QzsxbA6w9BqtOy8sZOjUUfVjiMeUdbq2NA6pdA4yOpYSyKFaUuyRsfK6li7EuQZRNcKXQH46shXKIocnNtamUwK4cfMhRlWp5TKacTdpDBtRcxFiDoJDo7mAT/CrgyuNRidg44DkQfYG7FX7TjiIUVejCc10YDe1ZGAyiXUjiPuIoVpK7JWx4a0AFcfdbOIYufv7k+Pyj0A87ZMWcq0TlmrY0NqlUSrlY9nSyN/EVsho2Pt3sCaA3FxdOFE9Am2XdumdhxRQIqicPFoFGDenURYHilMWxB/w3zAAjRQpbPaaYRKSrqU5OUqLwPw9dGvMSkmlROJgrh9NZGk2HQcnRwIqiZriSyRFKYtOPN/5u/lGoNHGXWzCFX1r9Efd5075+LOsf7yerXjiALIWh0bXMMXRyetymlEXqQwbUHW0X1kdazd89J70bd6XwDmHJ1DpilT5UQivy4d/ffoPnVldaylksK0dimxcOVv8+WqT6mbRViE3tV646335nLCZVacW6F2HJEPcZHJxEWm4OCoIaRGSbXjiHuQwrR2kSdAMYFPefAOUTuNsABuOjcG1RoEwGeHPiM8PlzlROJBoq4kAlA6xBMnF0eV04h7kcK0dnH/fhj6hKmbQ1iUl6q8ROMyjUnNTOXdHe+SYcxQO5K4j4ToVABK+LmqnETcjxSmtYv997ROPuXVzSEsitZBy5QWUyihL8Hp2NPMPDxT7UjiPuJvmwvTy89F5STifqQwrV1s1hJmqLo5hMXxc/VjYrOJACw+tZid13eqnEjcS3yUuTA9S0phWjIpTGuXtUrWWwpT5Na6XGteqvISAB/+/SHRqdEqJxJ5if93laxXKSlMSyaFac0UBWIvmy/LEqa4h7cavEVF74rEpsXywa4P5IAGFiYjLZPUBPM2ZilMyyaFac1SYiAjEdBAiWC10wgLpdfqmdFyBnqtnt03d/PjyR/VjiT+IyE6DQC9myN6V53KacT9SGFas6ztl54BoHNWN4uwaGElwhjdcDQAMw/PZMf1HSonElkSsgb8yPZLiyeFac1k+6UogOcrPc/TYU9jVIy8te0tOdm0hcgeISurYy2eFKY1yx4hG6JqDGEdNBoN45uOp3lgc9KMaQzbPIyLdy6qHcvuZQ348ZTCtHhSmNYsax9MWcIU+aRz0PFZq8+oWbImCRkJDN44mMjkSLVj2bWE2ymALGFaAylMaxYn+2CKgnPVuTK73WxCPEO4lXKL1za+Rnx6vNqx7JaskrUeUpjWLFa2YYqH4+3szfwO8/Fz8eNi/EWGbx5Oamaq2rHsjtFoIjE2HQDPknJYPEsnhWmt0pMg2Xx2dlnCFA8jwD2AeR3m4eHkwdHbR3ln+ztyOrBilhSbhmJScNQ54OblpHYc8QBSmNYq7rL5u4u3+UuIh1DRuyJft/0avVbP9uvbGfv3WAwmg9qx7EbW6ljPUi5oHDQqpxEPIoVprdLumL+7+qoaQ1i/eqXrMaPlDLQaLWsvreWNLW+QYkhRO5ZdSE82L9E7u8kBC6yBFKa1cnIzf8+QDzbx6NoEtWFmm5k4a53ZdWMX/df3l+POFgOdXgtAZoZR5SQiP6QwrZWTh/l7RpK6OYTNaF2uNd92+hZvvTenYk7R+8/eXEm4onYsm6ZzNhdmRpoUpjWQwrRWenfz94wk80HYhSgEtUrVYvGTiynrXpbrSdfp/WdvTtw+oXYsm+Xk7AiAIV0K0xpIYVqrrFWyigkMsjuAKDzBnsEsfnIx1XyrEZcexysbXmH7te1qx7JJWatkDWkyOtkaSGFaK53b/y5nJKuXQ9ikki4lWdRpEc0Cm5GamcobW99g+bnlaseyOVmrZA3pRhRZU2TxpDCtlYMDOGWtlk1UN4uwSa46V2a1ncUzYc9gUkxM2DOB2Udnywd7IcpawlQUyDTIeUotnRSmNcsqzNQ4dXMIm6Vz0DGx2UQG1xoMwLxj8xi5daQcSq+Q6Jy08O/ul+nJsv+rpZPCtGZ+Vc3fbxxWN4ewaRqNhuF1hzOuyTh0Djq2XNtCjzU9OHb7mNrRrJ7GQYOPv3nzyq3LCSqnEQ8ihWnNQpqbv4fLyYBF0eteqTuLn1xMOY9y3Ey+Sb+/+vH9P99jUmRV4qMIrGQ+UteNs3fUDSIeyOIL88aNG/Tq1QtfX19cXFyoWbMmBw8eVDuWZQhtaf5+5W8wyYeWKHrVfavz61O/8njI42QqmXx26DNe3/I6cWmyWeBhBVYuAcCNczIPLZ1FF2ZcXBzNmjVDp9Px119/cerUKT777DO8veXYqQAE1AWdK6TEwO0zaqcRdsLdyZ3pLacz9rGxODk4seP6Dp5f8zyHb8mmgYcRULEEALE3k0lNzFA3jLgviy7MadOmUa5cORYtWkSjRo0IDQ2lY8eOhIWFqR3NMmh1EPSY+fLlnepmEXZFo9HQo3IPlnRekn1ezQHrB/DNiW9kFW0Bubg74Rto3o5549wddcOI+3JUO8D9rF69mk6dOvH888+zfft2AgMDGTp0KK+++uo975Oenk56enr29YQE84Z0g8GAwVC8o9AMhsz/XDZg0BT+cHyHck3RXtyC6dIOjPUGFMpjZs2n4p5f1sxe51l5j/L81OknphyYwp+X/+TLw1+y7+Y+JjWdhI+zz33va6/zLC9lKngRcyOZa2diCK517zVo1jbPiuMz8MEZCm9eaRQL3qnK2dkZgFGjRvH8889z4MABRowYwbx58+jbt2+e9xk/fjwTJkzINX3JkiW4uhbvCVrTjTB6v/l/kumNMvl3l6tC5Z18gZbnPiZd6866ml+DxqJXGggbpSgKhzMOszZ1LQYMeGg86O7anTCdrA3Kj9RIR2KOuODobqRMC9s5oUJxfAY+SEpKCi+//DLx8fF4eno+0mNZdGE6OTnRoEEDdu/enT3tjTfe4MCBA+zZsyfP++S1hFmuXDkiIiLw9S3eU2GlZGRSe+IWAI6NbYurUxEs0BsNOM6sgiYtnsyn56DU7PHID2kwGNi4cSMdOnRAp5PTDuWHzDOzi3cu8u7f73Ip/hIaNPSu2pthtYah0+aeJzLP/ict2cDi9/ehmBSeHFaDslXyXsq0tnlWLJ+BDxATE4O/v3+hFKZFr5L19/enWrVqOaZVrVqVFStW3PM+er0evV6fa7pOpyv2F5hO+d8JYc3PXwSzW6eDZiNh8wQct02GGs+CU+EsSasxz6ydvc+zKqWqsLTzUj49+Cm/nfuNH0//yIFbB/ik5SeU9yqf533sfZ4B6EroqNkqkONbr7Pv98sEf1AKh/ucUNpa5lmxfAY+KEMhzieLXn/XrFkzzp49m2PauXPnCA4OVimRhXpsKHgFQcIN2Dtb7TTCzrnqXPmoyUfMbDOTEvoSnI49zQtrXuC3c7/JYfXuo2HnUPSujsTcSOLMngi144g8WHRhvvnmm+zdu5cpU6Zw4cIFlixZwoIFCxg2bJja0SyLzhnajzNf3vkFJN5SN48QQLugdqx4egWN/RuTZkzj4z0fM3LrSO6k3VE7mkVydtfR4MkQAPb9cYkMOYOJxbHowmzYsCGrVq1i6dKl1KhRg4kTJzJz5kx69uypdjTLU6MbBDYAQzJsnax2GiEA8HP1Y0GHBbzd4G0cHRzZcm0L3VZ3Y8/NvMcg2LuarcriWcqFlIQMjmy8qnYccReLLkyAp556ihMnTpCWlsbp06fvu0uJXdNooNMU8+Uji+HWSXXzCPEvB40Dfav3ZcmTSwj1CiUqNYpBGwfxxZEvyFRkKeq/tDoHmj5rHll8dMNVkuLSVE4k/sviC1MUQFBjqPaM+aTSGz5UO40QOVT1rcqyp5bRo5J5JPfi04uZnzSf8PhwlZNZlvJ1S+FfwYtMg4l9f1xSO474DylMW9N+PGid4OIWOPCt2mmEyMHF0YWxTcbyZZsvKaEvQYQxgp7revLr2V9lQNC/NBoNzbpVBODMvkguHbmtciKRRQrT1viUh5bvmC//3yg48pO6eYTIQ9ugtix7chlhjmGkGdOYuHciI7aOkIO4/6t0qCc1WgaCAuu/+YfLx6PVjiSQwrRNLd+BxkPMl/8YDsd/VTePEHko5VKKvm59GVV3FDoHHVuvbaXb6m7svrn7wXe2Ay1erETFBn6YjAp/LTjB1ZMxakeye1KYtkijgcenQoMBgAKrBsPJVWqnEiIXB40Dvar2YknnJZT3Ks/t1NsM3jiYGQdmkGG07zN3ODhoaNe/GuXrlsKUqfDnvBNyzkyVSWHaKo0GnvwM6vYyDwJaMRDO/J/aqYTIUxWfKvzy1C+8UPkFAH489SM9/+zJpTv2PehFq3Wg4yvVCalVEqPBxPoFJ0mPVeGArAKQwrRtDg7Q5Suo9QKYMuHXvnBug9qphMiTi6MLHz72IV+1+QpvvTdnYs/wwtoX7H5AkNbRgcdfrUFQdR8yM0xEH3ThVniC2rHskhSmrXPQwjNzoFpXMBlgWS/zCFohLFSboDaseHoFTQOaZg8IemPrG8SmxaodTTVanQNPDK5JYKUSKEYNf839h6grUprFrcCFmZ6ezo4dO1i8eDHz589n5cqVhIfLflQWTesI3b6BKk+BMR2WvgTnN6mdSoh7KuVairnt5zK64Wh0Djq2XdtGt9XdOBh5UO1oqnF00tJxUDWcvDPJSDWy+sujRIbHqx3LruS7MP/++2969OhBiRIlaNu2LSNHjmTixIn06tWLChUqULFiRWbMmEFiYmJR5hUPS6uD7t9BxY6QmQY/dzMf3CAz/cH3FUIFDhoHelfrzdLOSwnzCiM6NZqhm4fadWnq9FpKNkildKgH6SmZrJpxmEPrLmMy2e8q6+KUr8J8+umneeGFFwgJCWHDhg0kJiYSExPD9evXSUlJ4fz583z44Yds3ryZSpUqsXHjxqLOLR6Gox56LP539CywexZ80x5un1M3lxD3UdmnMr889QvNA5uTmpnKsM3DOBp1VO1YqnFwhCeG1KBCfT9MJoW9v1/ijy+OkBgrh9EravkqzM6dOxMeHs706dNp0aIFLi4uOX5evnx5+vbty7p169i8eTMODrJp1GLpnOGpL+DFJeDiA5HHYX5LOPgd2PHACmHZnB2d+aL1Fzzm/xgpmSkM2TSEf6L/UTuWapxcHOk4sDrt+lZFp9dy8/wdlk3az4VDUWpHs2n5arbBgwfn+ySc1apVo127do8UShSDKp1h6B4o3wYyU2Htm/BLT0iWnaOFZXJ2dOartl9Rv3R9kgxJDNo4iDOxZ9SOpRqNRkOVJv70+KAhfiGepKdksn7hP2z+8bScGqyIPNKiYFJSEgkJCTm+hBXxKAO9VkLHyebjz579P5jbFM2lbWonEyJPLo4uzG43m9qlapOYkcirG17lfNx5tWOpqoSfK8+9U4/6TwSDBs7sjmDZ5AOy60kRKHBhhoeH07lzZ9zc3PDy8sLb2xtvb29KlCiBt7d3UWQURcnBAZoOh4GboWRlSIrEcWl3ql9fIgOChEVy07kxt/1cavjW4E76HQZuGMileDnAwWPPhPHsqLq4++hJuJ3KihmHOPinDAgqTAUuzF69ehEXF8d3333H5s2b2bJlC1u2bGHr1q1s2SL791kt/1owaBs0eAWACrfX4fj943D7rLq5hMiDh5MH8zrMo4pPFWLTYhm4fiBXEq6oHUt1ARW9efHDRlRo4IdiUti3+hK/f35YBgQVEseC3uHYsWMcOnSIypUrF0UeoSYnV3jqczJD22BcNQT9rRPmAUGdJpuLVKNRO6EQ2bz0XizosIBXNrzC+bjzDNowiFXPrMJV56p2NFXpXXV0fKU6wTV82bH0HBEX4vll4n5a96xMxQal1Y5n1Qq8hNmwYUOuXbtWFFmEhVAqPc7WKpMxlW9j3mfz/96CX16GZDnFkLAs3s7eLOywkED3QG4m3+S7f75TO5JF0Gg0VHnMnxc+bEjpUE8yUjPZ8M1JNn9/SgYEPYICF+Y333zDtGnT+OGHHzh06BDHjx/P8SVsQ7quBMYXl0Gnqf8OCPoT5jaFC5vVjiZEDr4uvrzd4G0Afjj5A5HJkSonshxepVx59u16NHgyBI0GzuyNZNmk/XKEoIdU4MK8ffs2Fy9epH///jRs2JA6depQt27d7O/ChmgcoMlQeHULlKoCSbfgp+dg3fsyIEhYlHZB7ajnV480YxqzjsxSO45F0WodaPx0ebqOqmceEBSdxsoZhzn4Z7gMCCqgAhfmgAEDqFu3Lnv27OHSpUuEh4fn+C5sUJma5gFBDV81X987Gxa2gyj73QdOWBaNRsM7Dd8BYPXF1ZyMOalyIssTULEEL37YiIoNS/87ICic3z8/TEJMqtrRrEaBC/PKlStMmzaNxo0bExISQnBwcI4vYaN0LtD5U3hpGbj6wq0TsKAV7F8oRwgSFqFGyRp0Lt8ZgE8PfGrXpwS7F72rjg4DqtG+X1V0zloiLsSzbNIBzh+4pXY0q1Dgwmzbti3Hjh0riizCGlR+HIbsgbB25gFBf75tPvuJDAgSFmBE3RHotXoO3jrI1mtb1Y5jkTQaDZUf8+eFDxr9b0DQtyfZ9P0pMlJlQND9FHi3ki5duvDmm29y4sQJatasmeuQeU8//XShhRMWyqM09FwO++fDxo/g3F8wpwk8Ow8qyGERhXr83f3pU60PC08s5PNDn9MisAU6bf4O62lvvEq58Nzb9Tjw52UO/XmZs3sjibhwhw4DqlOmvJfa8SxSgQvztddeA+Djjz/O9TONRoPRaHz0VMLyOTjAY0MgpAWsGAi3T5sHBDV/E9p8aD4HpxAqeKXmK6w4v4IrCVfYfn077YPbqx3JYjloHWjcpTxBVX3Y+N0pEqLTWPXpYR7rGkad9uXQOMi+1/9V4FWyJpPpnl9SlnaoTA0YtDX7CEHs+gK+7wzx19XNJeyWm86NjsEdAdgfuV/lNNbBv0IJXhhrPkKQyaSwe+UF/m/ucVKTMtSOZlHkPFzi0elc4KnP4fnvQe8J1/bCvOZwdp3ayYSdauTfCIADkQdUTmI99C6OdHylOq17Vkbr6MCVEzEsm3SAm+fvqB3NYjzUerMDBw6wdetWoqKiMJlMOX72+eefF0owYYWqPwv+dWB5f7h5BJa+AE2GQ7tx4OikdjphR+qXrg/AhTsXiE2LxcfZR+VE1kGj0VC9RSClQ71Yv/Af7txK4fcvjtCoSyj1OwXb/SraAi9hTpkyhcaNG7No0SIOHjzIkSNHsr+OHj1aBBGFVfEJhQHr4bGh5ut7voZFj0PcZVVjCfvi4+xDhRIVADgYeVDlNNanZFl3nn+vAZUblzHvs/nHJdbMOkpKgn2voi3wEuaXX37Jd999R79+/YogjrAJjnp4fCqENIffh8CNQzCvJTzzNVSTUdSieDQq04gLdy5wIPIAHUM6qh3H6jg5O9KuX1UCK5dgx9JzXDsdx7JJ++kwoBplq9jnEnuBlzAdHBxo1qxZUWQRtqZKZ3htF5RtCOnx8Gtv+PMdOayeKBYNyzQEZDvmo9BoNFRtGsDz7zXE29+NlIQM/vjyKPvXXLLLw+oVuDDffPNNZs+eXRRZhC0qEQT9/4Kmb5iv718A33WCRDmyiChaWdsxL8ZfJCY1RuU01s0nwI3n32tA1ab+oMCB/7vMmq+Okm5nBzoo8CrZt99+m86dOxMWFka1atVyHbhg5cqVhRZO2AitDjpONO+zuWqweUDQtx2g10ooWUHtdMJGeTt7E+AWwM3km1xLvIavi6/akayazklL2z5VCazszbYlZ7l+Jo5Vnx6my+u1cSuhVztesSjwEuYbb7zB1q1bqVSpEr6+vnh5eeX4EuKeKnWEgZvAOxTuXDGX5jVZXSaKjpuTGwApmSkqJ7EdlRuX4bm36uHi6UTMjSSWTz9I7M1ktWMViwIvYf7www+sWLGCzp07F0UeYet8w+CVjbDkefOS5g9doPt3UOVJtZMJG+Tm+G9hGqQwC1OpIA+6j67PmlnHuHMrhZWfHuLJobUIqFBC7WhFqsBLmD4+PoSFhRVFFmEv3EtB37VQsSNkpsKynnDwO7VTCRvkqnMFZAmzKHiWdOG5d+pRprwn6SmZrJ55lItHotSOVaQKXJjjx49n3LhxpKTIC1A8Ar07vLgU6vYGxQRr34Qtk+VUYaJQuenMS5jJBvtYZVjcXNydeHpkXUJrl8SYaWLdgn84vtV2D4tZ4FWyX331FRcvXqR06dKEhITkGvRz+PDhQgsnbJzWEZ6eBZ6BsP0T2DEdEm5Cl5nmgUJCPCJXx3+XMGWVbJHROWl5fHBNdvxyjpM7brBz2TmS4tJo0tX21kQWuDC7du1aBDGE3dJooM174OlvXso8+hMkRcLzP5iXQoV4BFmrZGUJs2g5OGho9VIl3L317PvjEkc2XCX5TjqPvVhR7WiFqsCFOW7cuKLIIexd/X7gXgZ+6wcXNpm3a778mxyDVjwSZ60zAKmZqSonsX0ajYYGT4Tg5qVn209nOLf/FplGEyiAjRyCNl/bMBXZriSKQ+XHoe8a0LnBpW3w+2tw18H9hSiIqFTzIJSSLiVVTmI/qjb154khNXFw0HDp0G3apurMpWkD8lWY1atX55dffiEj4/4H3j1//jxDhgzhk08+KZRwwg6Vawgv/gQOOvhnBax/TwYCiYd2LfEaAOU8yqmcxL6E1CxJu35VAaif4UijdNs4oXy+fotZs2bx7rvvMnToUDp06ECDBg0ICAjA2dmZuLg4Tp06xa5duzh58iTDhw9nyJAhRZ1b2LKwtvDsPFjxCuybB+6locUotVMJK3Q90TxiUwqz+FVqVIb4uDT2r7pECZPGJtZU5qsw27Vrx8GDB9m1axfLli3j559/5sqVK6SmplKyZEnq1q1Lnz596NmzJ97e3kWdWdiDmt0h+TasGwObJ4C7H9TtpXYqYUWSDcnEpsUCUphqqd6mLO9sOM1lRxMajfVvyCzQcnLz5s1p3rx5UWURIqfHhkDSLdj1Bax+A1x9ofITaqcSViJrday33ht3JxlxrZbLOtsZh1DgAxcIUazajYM6vUAxmkfQXt2rdiJhJWT7pShsUpjCsmk00OVLqPQ4ZKbBkh4QfV7tVMIKZBVmWY+yKicRtkIKU1g+rSN0XwRlG0FaPCzvLyehFg8kS5iisOW7MG/evFmUOYS4PydX6PGjeTtm5AnYNF7tRMLCSWGKwpbvwqxevTpLliwpyixC3J+nPzwzx3x57xw4t0HdPMKiyS4lorDluzAnT57M4MGDef7554mNjS3KTELcW+XHodFg8+Xfh0BipLp5hEUyGA1EJEcAUpii8OS7MIcOHcrx48eJiYmhWrVqrFmzpihzCXFvHT6G0jUgJRpWyeHzRG43k29iUky4OLrIYfFEoSnQfpihoaFs2bKFr7/+mueee46qVavi6JjzIeT0XqLI6Zyh+3cwvxVc2gp7voZmb6idSliQrO2Xge6BNrHDvLAMBT7A35UrV1i5ciXe3t4888wzuQpTiGJRqjI8PhXWjjQfCSikOQTWUzuVsBAy4EcUhQK13cKFC3nrrbdo3749J0+epFSpUkWVS4gHq98PLm6G02vM2zOH7AYHrdqphAUIjw8HpDBF4cp3YT7++OPs37+fr7/+mj59+hRlJiHyR6OBLl9B+E64fQaO/wp1XlI7lVCZoijsuL4DgDp+ddQNI2xKvgf9GI1Gjh8/LmUpLIurDzQfab68bSpk3v8UdML2nY07y42kGzhrnWkW0EztOMKG5LswN27cSNmycogpYYEaDQI3P7hzBY4sVjuNUNmmK5sAaBbYDFedq8pphC2RQ+MJ6+fkBi3fNl/eMQMMqermEarafHUzAO2C2qmcRNgaKUxhG+r3A69ykBgBB75VO41QyeX4y1y4cwFHjSOtyrVSO46wMVKYwjY46qHVaPPlXZ9DeqK6eYQqspYuG/k3wtPJU+U0wtZIYQrbUftl8AmDlBjYO0/tNEIFsjpWFCUpTGE7tI7Q5n3z5d2zIDVO3TyiWEUmR3Ii+gQaNLQNaqt2HGGDpDCFban+HPhVh/R4+PsrtdOIYpS1dFnXr64cP1YUCSlMYVscHKDtB+bL++ZBUpS6eUSxkdWxoqhJYQrbU/lJCKwPhhTY+bnaaUQxiE2L5dCtQwC0C5bCFEXDqgrzk08+QaPRMHLkSLWjCEum0UDbD82XD34L8dfVzSOK3LZr2zApJqr6VCXQPVDtOMJGWU1hHjhwgPnz51OrVi21owhrUL4NBDcHYwZsn652GlHEZHWsKA5WUZhJSUn07NmThQsX4u3trXYcYQ00Gmg31nz5yE8Qc1HdPKLIJGUksefmHgDaB7dXOY2wZVZxMsthw4bRuXNn2rdvz6RJk+572/T0dNLT07OvJyQkAGAwGDAYDEWa824GQ+Z/LhswaJRiff6HlTWfint+FTr/+mjD2uNwcROm7Z9i7FJ0o2ZtZp4Vo8KaZxvCN2AwGQjxDKGcazmb/htY2+vMEj4DC3NeWXxh/vLLLxw+fJgDBw7k6/ZTp05lwoQJuaZv3boVV9fiPRBzuhGyZvH69RvQW9mpGjdu3Kh2hEfm49CYFmzCePJ3/tK0R3Eo2pe8Lcyz4vYo88yoGPkq0fyPUMWMivz111+FFcuiWcvrzBI+A1NSUgrtsSy6MK9du8aIESPYuHEjzs7O+brPe++9x6hRo7KvJyQkUK5cOdq0aYOvr29RRc1TSkYmo/dvAaBTp464Oln07M5mMBjYuHEjHTp0QKfTqR3n0SiPo3y5EF1yFE9WdUcJK5od2m1qnhWTwphnv1/8nZh9MXjrvRnXZZzNn53E2l5nlvAZGBMTU2iPZdGf4IcOHSIqKop69eplTzMajezYsYOvv/6a9PR0tNqc/7Lo9Xr0en2ux9LpdMX+AtMpmrue36Jndy5qzLMiUfUpOPgdjuf/hCqdivSpbGaeFaOHnWcZxgwW/rMQgIE1B+Ll6lXY0SyWtbzOLOEzsDDnk0UP+mnXrh0nTpzg6NGj2V8NGjSgZ8+eHD16NFdZCpGnql3M38/8H5iM6mYRhea3c78RkRyBn6sfL1R5Qe04wg5Y9CKPh4cHNWrUyDHNzc0NX1/fXNOFuKeQFuDsBcm34do+CG6qdiLxiFIMKSw8bl66HFxrMHpt7rVKQhQ2i17CFKJQaHXmo/8AnF6jbhZRKJaeWUpMWgxl3cvybMVn1Y4j7IRFL2HmZdu2bWpHENaoahc4ttRcmJ2mmPfTFFYpMSOR7/75DoChdYaic7D8bXnCNsgSprAPYW1B5wrx1yDimNppxCP48dSPJGQkEOYVxpOhT6odR9gRKUxhH3QuUOHfo8DIalmrFZcWx48nfwRgWN1haB1k4J8oPlKYwn5Ufdr8XQrTan33z3ekZKZQ1acq7YPkMHiieElhCvtRqSM46CD6LNw+q3YaUUBRKVEsPbMUgNfrvo5GtkOLYiaFKeyHsxeUb22+LEuZVmfB8QWkG9Op61eX5oHN1Y4j7JAUprAvWQcxkMK0KtcTr7Pi3ApAli6FeqQwhX2p/CRoHCDiKNy5qnYakU9zj80lU8mkiX8TGpZpqHYcYaekMIV9cS8FQf8e6efM/6mbReTLmdgzrL20FjAvXQqhFilMYX+ytmNGHFc1hniw1MxURu8YjUkx0SG4AzVL1VQ7krBjUpjC/viEmr/HhaubQzzQ9APTCY8Px8/Fj7GPjVU7jrBzUpjC/mQVZqwUpiXbeGUjy88tR4OGKS2m4O3srXYkYeekMIX98f63MJMiISNZ3SwiTxFJEYzbPQ6AATUG0Ni/scqJhJDCFPbI1ce8TyZA3GVVo4jcMk2ZjNk5hsSMRGqWrMmwusPUjiQEIIUp7JVPefN3WS1rcRYeX8jhqMO46dyY1nKanI1EWAwpTGGfvGXgjyU6fOsw847PA+DDxz6knEc5lRMJ8T9SmMI+ycAfi3M14SpvbnsTk2KiS/kuPFX+KbUjCZGDFKawT7KEaVGiU6MZtHEQsWmxVPWpygePfaB2JCFycVQ7gBCqkCVMi5GYkchrm1/jRtINynmUY077Objp3NSOJUQusoQp7FPWEmb8NTBmqpvFjhkUA2/teIuzcWfxcfZhfvv5lHQpqXYsIfIkhSnsk4c/aPVgyjSXpih2RpOR5SnLORh1EDedG/Paz6OcpwzyEZZLClPYJwcH8A4xX469pGoUe6QoCtMPTeek4SQ6Bx1ftvmSqr5V1Y4lxH1JYQr7JceUVc384/P57fxvaNAwsclEOZKPsApSmMJ+ecvAHzUsPrWY2UdnA9DZpTMdgzuqnEiI/JFRssJ+ufqYv6cnqJvDTpgUEzMPzWTRyUUADKw+kJAbIeqGEqIAZAlT2K+MJPN3Jw91c9iBDGMGY3aOyS7LEfVGMKTWEJVTCVEwsoQp7FfWmUr07urmsHGJGYm8ufVN9kXuw1HjyIRmE3g67GkMBoPa0YQoEClMYb/Ss5YwZSf5onIr+RZDNw/lXNw5XB1d+aL1FzQNbKp2LCEeihSmsF/Zq2RlCbMoXLxzkdc2vUZkciQlXUoyp90c2XVEWDUpTGG/sgpTL9swC9uhW4d4fcvrJGYkEuIZwrwO8wh0D1Q7lhCPRAb9CPslq2SLxMYrGxm0YRCJGYnULlWbxU8slrIUNkGWMIX9So0zf5clzEJhMBmYdXhW9kjYtuXaMq3lNJwdnVVOJkThkMIU9ik5GmIvmi/7VVM3iw24mXSTd3a8w/HbxwHoVbUXbzd4G62DVuVkQhQeKUxhn678bf7uVw3c5OwYj2LL1S18+PeHJGYk4qHz4ONmH9M+uL3asYQodFKYwj5d3mX+HtJC3RxWzGA08Pmhz/np9E8A1CxZk+ktp1PWo6zKyYQoGlKYwj6F7zR/D2mubg4rdS3xGu9sf4eTMScB6FutLyPqjUCn1amcTIiiI4Up7E/Sbbh92nw5uJm6WazQhssbGLd7HEmGJLz0XkxqNonW5VqrHUuIIieFKexP1vbL0jXAzVfdLFYk3ZjOjAMzWHZ2GQB1/eoyveV0yriVUTmZEMVDClPYn8uyOragLsVf4t0d73Im9gwAA2sOZGidoegcZBWssB9SmMK+JN2GY+YlJMq3UTeLFVAUhd/O/caMAzNIM6bh4+zDlOZTaBYoq7KF/ZHCFPZl2xTISISAulBRTlx8P3FpcYzbPY6t17YC0MS/CZOaT8LP1U/lZEKoQwpT2I+o03Doe/PlTlPAQY4MeS+7b+7mw10fcjv1NjoHHSPqjaB3td44aGSeCfslhSnsx4axoJigylMQLKeYykuGMYMvD3/Jj6d+BKC8V3mmtZxGFZ8qKicTQn1SmMI+XNgMFzaCgw46fKx2Got06c4l3t35v4E9L1R+gbcavIWLo4vKyYSwDFKYwvaZjOalS4BGr4JvmLp5LMzdA3u89d5MaDqBNkEyKEqI/5LCFLbvyE8QdRKcS0DLd9ROY1Fi02IZt3sc265tA6BpQFMmNZtEKddSquYSwhJJYQrbFnUaNo0zX271Lrj6qJvHguy+sZsP/v6A6NRodA463qz/Jj2r9pSBPULcgxSmsF3R5+GHp83nvQyoBw0Hqp3IImQYM5h5eCaLTy0GIMwrjGktp1HZp7LKyYSwbFKYwjbFXIQfukByFJSpCb1WgKOT2qlUd/HORd7d8S5n484C5oE9bzd4W07yLEQ+SGEK2xN3xbxkmRhhPt9l7z/sflWsoigsO7uMTw9+SroxHW+9NxObTaRVuVZqRxPCakhhCtsSfx1+eAoSrkPJStDnD7s/wHpsWizj/h7HtuvbAGgW0IxJzSdR0kVOnC1EQUhhCtuREGFeDXvnKviUhz6rwd2+D+P2942/+WDXB8SkxaBz0DGq/ihervqyDOwR4iFIYQrbkBQFPz4NsZegRBD0XQOe/mqnUk26MZ2Zh2by0+mfABnYI0RhkMIU1u/ONVjSA6LPgWdZc1l6lVU7lWpuJN3gjS1vcC7uHAAvVXmJUfVHycAeIR6RFKawbv+shLUjIS0e3MtA39XgHaJ2KtVEJEXwyvpXuJF0Ax9nHyY2m0jLsi3VjiWETZDCFNYpPRH+HA3HlpivBzaAbt+AT6i6uVR0K/kWr2wwl2WwZzDfdvyW0m6l1Y4lhM2QwhTW5/pBWPEKxF0GjQO0eBtajQatTu1kqolOjWbghoFcS7xGoHsg33T8RspSiEImhSmsh8kIOz+HbVNBMYJXOXhugd2fqis2LZZXN7zK5YTL+Lv5822nbynjVkbtWELYHClMYR3uXIWVg+HqbvP1Gt2g8+fgUkLVWGqLT49n0IZBXLhzAT8XP77t+C2B7oFqxxLCJklhCst3YjmsHQXp8eDkAZ0/hVovgEajdjJVJWQkMGjjIM7GncXX2ZdvOn1DOc9yascSwmZJYQrLlZYAf42GY0vN18s2hOcW2vXAnizJhmSGbBrCqZhTeOu9+abjN4R6yXwRlkefmU66o17tGIVCDvchLNO1AzC/hbksNQ7mU3P1Xydl+a8xO8dw/PZxPJ08WdhxIRW8K6gdSYhcUv/+m+82fsJjEf+oHaVQyBKmsCwmI+z8DLZ98u/AnqB/B/Y0UTuZxfj7xt9su7YNRwdH5neYL0fvERbHlJ7O7c8/J/aHH/EBnr2wA0UZpXasRyaFKSxH3BVYNRiu7jFfr9EdOn9m9wN7/stoMvLpwU8B8xF8apSsoXIiIXJKP3+eG2+/Q/pZ8ynkVoc249saT9HFBsYcSGEKy3BiOax9E9IT/h3Y8xnUfkHtVBZn1YVVXLhzAU8nTwbXGqx2HCGyKYpC3JIlRE2fgZKejtbHB5+PJzJ3U6ra0QqNFKZQV1oC/Pk2HF9mvl62EXRbaNeHt7uXZEMys47MAmBI7SF46b1UTiSEWWZMDBHvf0DS9u0AuLVsQcCUKWR4loBN69UNV4ikMIV6ru2HFQPhzpX/Dexp8TZo5WWZl29PfEtsWixBHkG8UFmWvoVlSNq5k5vvvY8xOhqNkxN+b7+Nd+9eaDQaMjIy1Y5XqCx6lOzUqVNp2LAhHh4e+Pn50bVrV87+u15cWDFjJmybBt89bi7LEkHmEbCtx0hZ3kNkciQ/nvoRgFENRqGz48MACstgSk8ncvIUrr06CGN0NPqKFQj57Td8+vRGYwPbK/Ni0YW5fft2hg0bxt69e9m4cSMGg4GOHTuSnJysdjTxsO5che87w7Yp5lGwNXvAa7sgqLHaySzal4e/JN2YTv3S9Wlbrq3acYSdSz9/nsvP9yBu8WIAvHv1IuS333CuXEnlZEXLov+dX7duXY7r33//PX5+fhw6dIiWLeWURVbn9Fr4Y6j5VFx6T/PAnlo91E5l8eLS4vi/S/8HwDsN3rHZ/96F5VMUhfiVK4mcOAklLQ2try8BUybj3qqV2tGKhUUX5t3i4+MB8PHxuedt0tPTSU9Pz76ekJAAgMFgwGAwFG3AuxgMmf+5bMCgUYr1+R9W1nwqtPmVmY7Dlo/RHpgPgCmgHsZnF0KJYCjmv0lRKfR59h/7buxDQaGCVwUqeVUq9tdxUSnKeWar1JxnppQUbk+cROLatQC4NG1K6cmTcSzpe888lvAZWJjzSqMoilV8iptMJp5++mnu3LnDrl277nm78ePHM2HChFzTlyxZgqura1FGzCXdCKP3m/8nmd4oE722WJ/eIrim36Jh+GxKpF4G4ILfE5zyfx7Fwar+V1PV2pS17M3Yy2NOj/GU61NqxxF2yOnmTQJ+XoJTdDSKgwPRHTsQ16oVONx/q54lfAampKTw8ssvEx8fj6en5yM9ltUU5pAhQ/jrr7/YtWsXZcuWveft8lrCLFeuHBEREfj6+hZH1GwpGZnUnrgFgGNj2+LqZB0lYTAY2LhxIx06dECne/jBJZrTf6D9v5Fo0hNRXLwxdvkapWKnQkxqOQprnuXl+f97novxF5nRfAbtgtoV6mOrqSjnma0q7nmmKAoJvy0neto0lIwMtH5+lJkxHZd69fJ1f0v4DIyJicHf379QCtMqPsGHDx/O2rVr2bFjx33LEkCv16PX5z7Qr06nK/Y3pU7537Ym8/NbxezO9tDzzJAG69+Hg9+ar5d7DE33b3H0uv/fzhYU9ussJjWGi/EXAWgc2Ngmi0WN96a1K455ZkxKIvKjj0j48y8A3Fu1wv+TqTh6e+f7MSzhM7Aw55NFf4IrisLrr7/OqlWr2LZtG6GhcuBtixd9AX7rB7dOmK83HwVt3gfZDeKhHLp1CICK3hXxds7/B5UQjyL15EluvDkKw9Wr4OiI35tv4tO/H5oHrIK1dRZdmMOGDWPJkiX88ccfeHh4EBkZCYCXlxcuLi4qpxO5HP8N1o6EjCRwLQnPzYcK7dVOZdX2R+4HoGHphionEfZAURTifvqZqOnTUQwGdAEBBH7+GS516qgdzSJYdGHOnTsXgNatW+eYvmjRIvr161f8gUTeTEbzKth988zXg5tDt2/A01/dXDbgYORBABqWkcIURcuUkUHEe++T8H/mXZjc27UjYMpktF5yCMYsFl2YVjIeyb4ZUmHlq3B6jfl6y9HmQ9zJEXsKxY2kGwByCi9RpIwJCVwf/jop+/eDoyOlR7+Dd2/bPWLPw5JPNfHwUmLhl5fNp+PSOsGz86HGc2qnshmZpkzSjGkAuOvcVU4jbJUhMpJrrw4i/fx5HNzcKDvrK9yaNlU7lkWSwhQP585V+Kk7RJ8FvRe8tARCmqudyqakZv7vtEiuuuLdh1jYh/Tz57n66iAyIyNxLFWKcgvm41y1qtqxLJYUpii4yBPmskyKBM9A6LkcSldTO5XNSTaYj5nsqHHEycFJ5TTC1iTv38/14a9jSkjAqXx5ghYuQBcYqHYsiyaFKQrm0jb4pRdkJIJfNXNZesmbrCikZKYA5qVL2ZYkClPCunXcfGc0isGAS716lJszG22JEmrHsnj2vVONKJjjv5mXLDMSzSNh+/8lZVmEUgz/K0whCkvsjz9y481RKAYDHh3aE/Tdt1KW+SRLmCJ//v4KNo41X67+rHmAj2PuIyqJwpO1StbN0U3lJMIWKIpC1IxPif3uOwC8X36Z0h+8j0Zrhwe5fkhSmOLB9sz5X1k+Ngw6TnrgQZfFo0s3mo+J7KSV7Zfi0d3+/PPssiz11ih8Bw6UVf0FJIUp7u/4b7D+PfPlNh9Cq3fUzWNHfF3MJwu4lXJL5STC2sV8/z0xC78BoMzEj/F+/nmVE1knWUwQ96S5tBV+f818pfEQaPm2uoHsTDmPcgDEpsVmr54VoqDi16wh6pNpgHnJUsry4UlhijyVSL6Ednk/MGVCje7QaQrI6pti5enkSQl9CQCuJ15XN4ywSkk7d3HzvfcB8OnbB9+BA1VOZN2kMEVuMRd47NJnaAzJUL41dJ0r2yxVkrWUeS3xmspJhLVJPX6c6yNGQGYmnp074/fuu7LN8hHJp6DIKSECx6XPo89MxFSmNrzwEzjKoBO1lPUwn0NUClMURPqlcK4Nfg0lJQW3pk0JmDrF7k/NVRhkDor/Sb0DP3VDE3+NJH1pjC/+AnoPtVPZNVnCFAVluBXFtYEDMcbF4VyjBoFffYXGSf7pLQxSmMLMmAnLekHUSRQ3P/aEjQa3UmqnsntSmKIgTCkpXHv1VQw3b+IUHEy5+fPQust+vIVFClOYbZ8Gl3eCkweZLy4jRS9laQmkMEVB3Jo6lfRz59CWLEm5b7/B0ddX7Ug2RQpTwOVdsPNT8+UuM6FMTVXjiP/JKsyI5AgMRoPKaYQlS1i3jju/LQeNhsBPP8WpbFm1I9kcKUx7lxILKweBYoI6vaBmd7UTif8o5VIKZ60zJsXEzeSbascRFspw4wYRYz8CwHfQINwea6xyItskhWnPFAVWvw4JN8C3AjwxTe1E4i4ajUZGyor7UjIzufHOaEyJiTjXrkWp4cPUjmSzpDDt2aFFcGYtOOig27egd1c7kciDFKa4n+i580g9fBgHd3cCP/sMjU6ndiSbJYVpr6JOw7p/jxHbfjwE1FEzjbgPGfgj7iXl4EGi584FoMz48bLdsohJYdojQyosfwUy0yCsHTw2VO1E4j6kMEVejHfucOOd0WAy4dW1K15PdVY7ks2TwrRHOz+HqJPm/SyfnSeHvbNwQR5BAITHh6ucRFiSqM8+IzMiAqfgYEp/+KHaceyCfFLam+Ro2DvHfPnJT8HdT9084oFqlqqJo8aRKwlXpDQFABlXrnBn5SoA/KdOkYMTFBMpTHuz6wvISAL/OlDtGbXTiHzwdPKksb95N4HNVzernEZYgtjZc8BoxL1VK1zr1VM7jt2QwrQnCTdh/0Lz5bZj5XRdVqRdcDsANl+RwrR3ThGRJK1bB0CpkSNUTmNfpDDtyY4ZYEyHoCZQoZ3aaUQBtCnXBg0a/on5h4ikCLXjCBWV3LABFAWPxx/HuWpVtePYFSlMexEbDod/NF+WpUurU9KlJHX96gKw5doWldMItaSdOIH7qVPg4ECpN15XO47dkcK0F9ungSkTwtpCSDO104iH0C7o39Wysh3TbsXM+hoAj6eeQl++vMpp7I8Upj24fRaOLzNfbivDz61V1nbMQ7cOEZsWq3IaUdyS9+8ndc8eFK0WnyGvqR3HLklh2oOtk80HV6/yFATWVzuNeEiB7oFU9amKSTGx7do2teOIYqQoCrdnfglAfMOG6OSIPqqQwrR1N4/CqT8ADbT5QO004hG1D24PwKYrm1ROIopT8o4dpB4+jEavJ6ZdW7Xj2C0pTFu3ZZL5e83noXQ1dbOIR9Y+yFyYeyP2kpiRqHIaURwUk4moL81Ll14vvYjR01PlRPZLCtOWXd0LFzaCRgutx6idRhSC8iXKE+oVisFkYOf1nWrHEcUgccNG0k+dxsHNDe8BA9SOY9ekMG2VosDmiebLdXuBb5i6eUShyVrK3HRVVsvaOsVo5PasWQD49O2L1ttb5UT2TQrTVl3aCld2gdYJWo1WO40oRFmjZXfd2EVaZprKaURRil+zhoyLF3Hw8sKnfz+149g9R7UD2DJF+d/llAxjsT6xftPHaAFDvf4YXMpARma+724wZJJuhJSMTHSKHOAgP4pznoW4V6KMaxkiUyLZdnUXLcu2LtLnKyryOrs/xWDg9r/7XXr270+63gVDhsGq5lmxfu4VA42i/Pdj3fYkJCTg5eVFdHQ0vr6+xfrc0UnpNJhU/KvNWjgcZ7HTJ6QoelqmzyQar2LPIIqWvvQanHz+xpBQi7QbL6sdRxSB9lcP8NbhZcTqPRjQYQzpjnq1Iz2SUx93wtWp+JfRYmJiKFmyJPHx8Xg+4oApWSVrg55y2AvAcmNLKUsbZbhjPkOFo8cJNLoYldOIotDyxjEA1pRvZvVl2SDYGxedVu0Yj0yWMIuQoijEJGcA4KLTFtvhWzWxF9GeWYMppCWmgIKf+sdgMLB+/QY6deqITqcrgoS2R415tuDEXOr5NaBB6YbF8nyFTV5n95dx7iwpmzbj1rkzuuBgwHrnmfnzT51VyIW5hCnbMIuQRqOhpLsK/xmWqWz+ekgGjYJeC65Ojuh08hLJDzXm2cj61n3wbXmd3Z9rjeqUqFE9xzSZZ+qSVbJCCCFEPkhhCiGEEPkghSmEEELkgxSmEEIIkQ9SmEIIIUQ+SGEKIYQQ+SCFKYQQQuSDFKYQQgiRD1KYQgghRD5IYQohhBD5IIUphBBC5IMUphBCCJEPUphCCCFEPkhhCiGEEPkghSmEEELkgxSmEEIIkQ9SmEIIIUQ+SGEKIYQQ+SCFKYQQQuSDFKYQQgiRD1KYQgghRD5IYQohhBD5IIUphBBC5IMUphBCCJEPUphCCCFEPkhhCiGEEPlgFYU5e/ZsQkJCcHZ2pnHjxuzfv1/tSEIIIeyMxRfmsmXLGDVqFOPGjePw4cPUrl2bTp06ERUVpXY0IYQQdsTiC/Pzzz/n1VdfpX///lSrVo158+bh6urKd999p3Y0IYQQdsRR7QD3k5GRwaFDh3jvvfeypzk4ONC+fXv27NmT533S09NJT0/Pvh4fHw9AbGxs0Ya1IQaDgZSUFGJiYtDpdGrHsQoyzwpO5lnByTwruKzPfkVRHvmxLLowo6OjMRqNlC5dOsf00qVLc+bMmTzvM3XqVCZMmJBreqVKlYokoxBCCMsXExODl5fXIz2GRRfmw3jvvfcYNWpU9vU7d+4QHBzM1atXH3lm2YuEhATKlSvHtWvX8PT0VDuOVZB5VnAyzwpO5lnBxcfHExQUhI+PzyM/lkUXZsmSJdFqtdy6dSvH9Fu3blGmTJk876PX69Hr9bmme3l5yQusgDw9PWWeFZDMs4KTeVZwMs8KzsHh0YfsWPSgHycnJ+rXr8/mzZuzp5lMJjZv3kyTJk1UTCaEEMLeWPQSJsCoUaPo27cvDRo0oFGjRsycOZPk5GT69++vdjQhhBB2xOIL84UXXuD27dt89NFHREZGUqdOHdatW5drINC96PV6xo0bl+dqWpE3mWcFJ/Os4GSeFZzMs4IrzHmmUQpjrK0QQghh4yx6G6YQQghhKaQwhRBCiHyQwhRCCCHyQQpTCCGEyAebLkw5LVjBTJ06lYYNG+Lh4YGfnx9du3bl7NmzaseyGp988gkajYaRI0eqHcWi3bhxg169euHr64uLiws1a9bk4MGDaseyWEajkbFjxxIaGoqLiwthYWFMnDixUI6Nakt27NhBly5dCAgIQKPR8Pvvv+f4uaIofPTRR/j7++Pi4kL79u05f/58gZ7DZgtTTgtWcNu3b2fYsGHs3buXjRs3YjAY6NixI8nJyWpHs3gHDhxg/vz51KpVS+0oFi0uLo5mzZqh0+n466+/OHXqFJ999hne3t5qR7NY06ZNY+7cuXz99decPn2aadOmMX36dGbNmqV2NIuSnJxM7dq1mT17dp4/nz59Ol999RXz5s1j3759uLm50alTJ9LS0vL/JIqNatSokTJs2LDs60ajUQkICFCmTp2qYirrEhUVpQDK9u3b1Y5i0RITE5WKFSsqGzduVFq1aqWMGDFC7UgW691331WaN2+udgyr0rlzZ2XAgAE5pj333HNKz549VUpk+QBl1apV2ddNJpNSpkwZZcaMGdnT7ty5o+j1emXp0qX5flybXMLMOi1Y+/bts6c96LRgIresU6MVxkGLbdmwYcPo3LlzjtebyNvq1atp0KABzz//PH5+ftStW5eFCxeqHcuiNW3alM2bN3Pu3DkAjh07xq5du3jiiSdUTmY9wsPDiYyMzPEe9fLyonHjxgXqBIs/0s/DeJjTgomcTCYTI0eOpFmzZtSoUUPtOBbrl19+4fDhwxw4cEDtKFbh0qVLzJ07l1GjRvH+++9z4MAB3njjDZycnOjbt6/a8SzSmDFjSEhIoEqVKmi1WoxGI5MnT6Znz55qR7MakZGRAHl2QtbP8sMmC1M8umHDhvHPP/+wa9cutaNYrGvXrjFixAg2btyIs7Oz2nGsgslkokGDBkyZMgWAunXr8s8//zBv3jwpzHv49ddf+fnnn1myZAnVq1fn6NGjjBw5koCAAJlnxcwmV8k+zGnBxP8MHz6ctWvXsnXrVsqWLat2HIt16NAhoqKiqFevHo6Ojjg6OrJ9+3a++uorHB0dMRqNake0OP7+/lSrVi3HtKpVq3L16lWVElm+d955hzFjxvDiiy9Ss2ZNevfuzZtvvsnUqVPVjmY1sj73H7UTbLIw5bRgD0dRFIYPH86qVavYsmULoaGhakeyaO3atePEiRMcPXo0+6tBgwb07NmTo0ePotVq1Y5ocZo1a5ZrV6Vz584RHBysUiLLl5KSkutcjlqtFpPJpFIi6xMaGkqZMmVydEJCQgL79u0rUCfY7CpZOS1YwQ0bNowlS5bwxx9/4OHhkb1u38vLCxcXF5XTWR4PD49c23fd3Nzw9fWV7b738Oabb9K0aVOmTJlCjx492L9/PwsWLGDBggVqR7NYXbp0YfLkyQQFBVG9enWOHDnC559/zoABA9SOZlGSkpK4cOFC9vXw8HCOHj2Kj48PQUFBjBw5kkmTJlGxYkVCQ0MZO3YsAQEBdO3aNf9PUogjeS3OrFmzlKCgIMXJyUlp1KiRsnfvXrUjWTQgz69FixapHc1qyG4lD7ZmzRqlRo0ail6vV6pUqaIsWLBA7UgWLSEhQRkxYoQSFBSkODs7K+XLl1c++OADJT09Xe1oFmXr1q15fn717dtXURTzriVjx45VSpcurej1eqVdu3bK2bNnC/QccnovIYQQIh9schumEEIIUdikMIUQQoh8kMIUQggh8kEKUwghhMgHKUwhhBAiH6QwhRBCiHyQwhRCCCHyQQpTCCGEyAcpTCGs2NmzZylTpgyJiYnF/tzr1q2jTp06ckxTYTekMIVQkdFopGnTpjz33HM5psfHx1OuXDk++OCD+97/vffe4/XXX8fDw6MoY+bp8ccfR6fT8fPPPxf7cwuhBjk0nhAqO3fuHHXq1GHhwoXZJwXu06cPx44d48CBAzg5OeV5v6tXr1KhQgXCw8MJDAwszsjZZs+ezffffy8n0BZ2QZYwhVBZpUqV+OSTT3j99deJiIjgjz/+4JdffuHHH3+8Z1mC+cTCtWvXzlGW33//PSVKlGDt2rVUrlwZV1dXunfvTkpKCj/88AMhISF4e3vzxhtv5DhfZ0hICJMmTaJPnz64u7sTHBzM6tWruX37Ns888wzu7u7UqlWLgwcP5sjQpUsXDh48yMWLFwt/xghhYaQwhbAAr7/+OrVr16Z3794MGjSIjz76iNq1a9/3Pjt37qRBgwa5pqekpPDVV1/xyy+/sG7dOrZt28azzz7Ln3/+yZ9//snixYuZP38+y5cvz3G/L774gmbNmnHkyBE6d+5M79696dOnD7169eLw4cOEhYXRp08f/rtSKigoiNKlS7Nz587CmRFCWLLCPcGKEOJhnT59WgGUmjVrKgaD4YG3r127tvLxxx/nmLZo0SIFUC5cuJA9bfDgwYqrq6uSmJiYPa1Tp07K4MGDs68HBwcrvXr1yr4eERGhAMrYsWOzp+3Zs0cBlIiIiBzPWbduXWX8+PH5/0WFsFKyhCmEhfjuu+9wdXUlPDyc69evP/D2qampODs755ru6upKWFhY9vXSpUsTEhKCu7t7jmlRUVE57lerVq0cPweoWbNmrml338/FxYWUlJQH5hXC2klhCmEBdu/ezRdffMHatWtp1KgRr7zySo5Vn3kpWbIkcXFxuabrdLoc1zUaTZ7T7t4d5L+30Wg095x29/1iY2MpVarUfbMKYQukMIVQWUpKCv369WPIkCG0adOGb7/9lv379zNv3rz73q9u3bqcOnWqmFLmLS0tjYsXL1K3bl1VcwhRHKQwhVDZe++9h6IofPLJJ4B5xOqnn37K6NGjuXz58j3v16lTJ/bs2ZNjtGtx27t3L3q9niZNmqiWQYjiIoUphIq2b9/O7NmzWbRoEa6urtnTBw8eTNOmTe+7avaJJ57A0dGRTZs2FVfcXJYuXUrPnj1zZBfCVsmBC4SwYrNnz2b16tWsX7++2J87OjqaypUrc/DgQUJDQ4v9+YUobo5qBxBCPLzBgwdz584dEhMTi/3weJcvX2bOnDlSlsJuyBKmEEIIkQ+yDVMIIYTIBylMIYQQIh+kMIUQQoh8kMIUQggh8kEKUwghhMgHKUwhhBAiH6QwhRBCiHyQwhRCCCHyQQpTCCGEyIf/B32cSqq593fbAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "density=0.60 shell=2x0.42mm\n", + " A_shell = 30.78 mm^2\n", + " L_infill = 119.42 mm\n", + " A_infill = 50.16 mm^2\n", + " A_total = 80.93 mm^2\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from math import ceil, pi\n", + "\n", + "EPS = 1e-9\n", + "\n", + "# ----------------- Prusa gyroid core -----------------\n", + "\n", + "def prusa_f(x, z_sin, z_cos, vertical, flip):\n", + " if vertical:\n", + " phase_offset = (np.pi if z_cos < 0 else 0.0) + np.pi\n", + " a = np.sin(x + phase_offset)\n", + " b = -z_cos\n", + " res = z_sin * np.cos(x + phase_offset + (np.pi if flip else 0.0))\n", + " r = np.sqrt(a*a + b*b)\n", + " return np.arcsin(a/r) + np.arcsin(res/r) + np.pi\n", + " else:\n", + " phase_offset = np.pi if z_sin < 0.0 else 0.0\n", + " a = np.cos(x + phase_offset)\n", + " b = -z_sin\n", + " res = z_cos * np.sin(x + phase_offset + (0.0 if flip else np.pi))\n", + " r = np.sqrt(a*a + b*b)\n", + " return np.arcsin(a/r) + np.arcsin(res/r) + 0.5*np.pi\n", + "\n", + "def _cross2(ax, ay, bx, by): return ax*by - ay*bx\n", + "\n", + "def make_one_period(width_units, z_cos, z_sin, vertical, flip, tol_units):\n", + " dx = np.pi/2.0\n", + " limit = min(2.0*np.pi, width_units)\n", + " xs = list(np.arange(0.0, limit-EPS, dx)) + [limit]\n", + " pts = [[x, prusa_f(x, z_sin, z_cos, vertical, flip)] for x in xs]\n", + " # refinement loop\n", + " while True:\n", + " n0 = len(pts)\n", + " new = [pts[0]]\n", + " for i in range(1, len(pts)):\n", + " lx, ly = new[-1]\n", + " rx, ry = pts[i]\n", + " xm = 0.5*(lx + rx)\n", + " ym = prusa_f(xm, z_sin, z_cos, vertical, flip)\n", + " if abs(_cross2(xm-lx, ym-ly, xm-rx, ym-ry)) > tol_units*tol_units:\n", + " new.append([xm, ym])\n", + " new.append([rx, ry])\n", + " pts = new\n", + " if len(pts) == n0: break\n", + " pts.sort(key=lambda p: p[0])\n", + " return np.asarray(pts)\n", + "\n", + "def make_wave(one_period, width_units, height_units, y0, scale_mm_per_unit,\n", + " z_cos, z_sin, vertical, flip):\n", + " pts = one_period.copy()\n", + " period = pts[-1,0]\n", + " if abs(width_units - period) > EPS:\n", + " n = len(pts)\n", + " pts = pts[:-1].tolist()\n", + " while pts[-1][0] < width_units - EPS:\n", + " src = pts[-n+1]\n", + " pts.append([src[0] + period, src[1]])\n", + " y_end = prusa_f(width_units, z_sin, z_cos, vertical, flip)\n", + " pts.append([width_units, y_end])\n", + " else:\n", + " pts = pts.tolist()\n", + "\n", + " out = []\n", + " for x,y in pts:\n", + " y = y + y0\n", + " y = min(max(y, 0.0), height_units) # clamp like Prusa\n", + " if vertical: x, y = y, x # swap *after* clamp\n", + " out.append([x*scale_mm_per_unit, y*scale_mm_per_unit])\n", + " return np.asarray(out)\n", + "\n", + "def make_gyroid_waves_prusa(z_mm, density, spacing_mm, width_mm, height_mm,\n", + " density_adjust=1.0, pattern_tolerance_mm=0.5,\n", + " pad_modules=int(ceil(2.0*np.pi))):\n", + " \"\"\"\n", + " Returns list of polylines (Nx2 arrays) in mm (NOT clipped).\n", + " \"\"\"\n", + " dens = max(0.0, density * density_adjust)\n", + " if dens <= 0.0: return []\n", + "\n", + " scale = spacing_mm / dens # mm per “unit”\n", + " tol_units = min(spacing_mm/2.0, pattern_tolerance_mm) / scale\n", + "\n", + " # z in “units”\n", + " z = z_mm / scale\n", + " z_sin, z_cos = np.sin(z), np.cos(z)\n", + "\n", + " # Prusa-like module counts (ceil + 1)\n", + " modules_x = int(ceil(width_mm / scale)) + 1\n", + " modules_y = int(ceil(height_mm / scale)) + 1\n", + "\n", + " # emulate align_to_grid padding (2π “modules”)\n", + " Wm = modules_x + pad_modules\n", + " Hm = modules_y + pad_modules\n", + "\n", + " vertical = (abs(z_sin) <= abs(z_cos))\n", + " lower, upper = 0.0, Hm\n", + " flip = True\n", + " if vertical:\n", + " flip = False\n", + " lower = -np.pi\n", + " upper = Wm - np.pi/2.0\n", + " Wm, Hm = Hm, Wm # swap like the C++ after computing bounds\n", + "\n", + " odd = make_one_period(Wm, z_cos, z_sin, vertical, flip, tol_units)\n", + " flip = not flip\n", + " even = make_one_period(Wm, z_cos, z_sin, vertical, flip, tol_units)\n", + "\n", + " lines = []\n", + " y0 = lower\n", + " while y0 < upper + EPS:\n", + " lines.append(make_wave(odd, Wm, Hm, y0, scale, z_cos, z_sin, vertical, flip))\n", + " y0 += np.pi\n", + " if y0 < upper + EPS:\n", + " lines.append(make_wave(even, Wm, Hm, y0, scale, z_cos, z_sin, vertical, flip))\n", + " y0 += np.pi\n", + "\n", + " # translate back by the padding so the original box sits inside\n", + " shift_mm = pad_modules * scale\n", + " for i in range(len(lines)):\n", + " lines[i][:,0] -= shift_mm\n", + " lines[i][:,1] -= shift_mm\n", + " return lines\n", + "\n", + "# ----------------- rectangle clipping & length -----------------\n", + "\n", + "INSIDE, LEFT, RIGHT, BOTTOM, TOP = 0, 1, 2, 4, 8\n", + "\n", + "def _outcode(x, y, xmin, ymin, xmax, ymax):\n", + " code = INSIDE\n", + " if x < xmin: code |= LEFT\n", + " elif x > xmax: code |= RIGHT\n", + " if y < ymin: code |= BOTTOM\n", + " elif y > ymax: code |= TOP\n", + " return code\n", + "\n", + "def _clip_segment(x0, y0, x1, y1, xmin, ymin, xmax, ymax):\n", + " c0 = _outcode(x0, y0, xmin, ymin, xmax, ymax)\n", + " c1 = _outcode(x1, y1, xmin, ymin, xmax, ymax)\n", + " while True:\n", + " if not (c0 | c1):\n", + " return x0, y0, x1, y1, True\n", + " if c0 & c1:\n", + " return 0, 0, 0, 0, False\n", + " c = c0 or c1\n", + " if c & TOP:\n", + " x = x0 + (x1 - x0) * (ymax - y0) / (y1 - y0); y = ymax\n", + " elif c & BOTTOM:\n", + " x = x0 + (x1 - x0) * (ymin - y0) / (y1 - y0); y = ymin\n", + " elif c & RIGHT:\n", + " y = y0 + (y1 - y0) * (xmax - x0) / (x1 - x0); x = xmax\n", + " else:\n", + " y = y0 + (y1 - y0) * (xmin - x0) / (x1 - x0); x = xmin\n", + " if c == c0:\n", + " x0, y0 = x, y; c0 = _outcode(x0, y0, xmin, ymin, xmax, ymax)\n", + " else:\n", + " x1, y1 = x, y; c1 = _outcode(x1, y1, xmin, ymin, xmax, ymax)\n", + "\n", + "def _clip_polylines_to_rect(lines, xmin, ymin, xmax, ymax):\n", + " out = []\n", + " for P in lines:\n", + " if len(P) < 2: continue\n", + " cur = []\n", + " for i in range(len(P)-1):\n", + " x0,y0 = P[i]\n", + " x1,y1 = P[i+1]\n", + " x0c,y0c,x1c,y1c,ok = _clip_segment(x0,y0,x1,y1,xmin,ymin,xmax,ymax)\n", + " if not ok:\n", + " if cur: out.append(np.array(cur)); cur=[]\n", + " continue\n", + " if not cur:\n", + " cur = [[x0c,y0c],[x1c,y1c]]\n", + " else:\n", + " if abs(cur[-1][0]-x0c) > 1e-9 or abs(cur[-1][1]-y0c) > 1e-9:\n", + " out.append(np.array(cur)); cur=[[x0c,y0c],[x1c,y1c]]\n", + " else:\n", + " cur.append([x1c,y1c])\n", + " if cur: out.append(np.array(cur))\n", + " return out\n", + "\n", + "def _total_length_mm(lines):\n", + " L = 0.0\n", + " for P in lines:\n", + " if len(P) < 2: continue\n", + " d = np.diff(P, axis=0)\n", + " L += float(np.sum(np.hypot(d[:,0], d[:,1])))\n", + " return L\n", + "\n", + "# ----------------- area calculator with shell -----------------\n", + "\n", + "def compute_areas_with_shell(width_mm, height_mm,\n", + " z_mm, spacing_mm, density,\n", + " line_width_mm,\n", + " shell_perimeters=2,\n", + " density_adjust=1.0,\n", + " pattern_tolerance_mm=0.5,\n", + " phase_shift_mm=(0.0, 0.0)):\n", + " \"\"\"\n", + " Returns a dict with:\n", + " A_shell, A_infill, A_total, L_infill, lines_infill (clipped), inner_box (x0,y0,W_in,H_in)\n", + " \"\"\"\n", + " # --- exact rectangular shell area ---\n", + " t = shell_perimeters * line_width_mm\n", + " W_in = max(0.0, width_mm - 2.0*t)\n", + " H_in = max(0.0, height_mm - 2.0*t)\n", + " A_shell = width_mm*height_mm - (W_in * H_in)\n", + "\n", + " # --- generate waves and clip to the inner rectangle ---\n", + " if W_in <= 0.0 or H_in <= 0.0:\n", + " # no infill area remains\n", + " return {\n", + " \"A_shell\": A_shell,\n", + " \"A_infill\": 0.0,\n", + " \"A_total\": A_shell,\n", + " \"L_infill\": 0.0,\n", + " \"lines_infill\": [],\n", + " \"inner_box\": (0.0, 0.0, 0.0, 0.0)\n", + " }\n", + "\n", + " # generate full pattern (unclipped)\n", + " raw = make_gyroid_waves_prusa(\n", + " z_mm, density, spacing_mm, width_mm, height_mm,\n", + " density_adjust=density_adjust, pattern_tolerance_mm=pattern_tolerance_mm\n", + " )\n", + "\n", + " # Optional small phase shift to avoid degenerate lines exactly on borders\n", + " if phase_shift_mm != (0.0, 0.0):\n", + " dx, dy = phase_shift_mm\n", + " raw = [P + np.array([dx, dy]) for P in raw]\n", + "\n", + " # clip to inner rect [t, t] – [t+W_in, t+H_in]\n", + " lines_infill = _clip_polylines_to_rect(raw, t, t, t + W_in, t + H_in)\n", + "\n", + " # area ≈ total extruded length × line width\n", + " L_infill = _total_length_mm(lines_infill)\n", + " A_infill = L_infill * line_width_mm\n", + " A_total = A_shell + A_infill\n", + "\n", + " return {\n", + " \"A_shell\": A_shell,\n", + " \"A_infill\": A_infill,\n", + " \"A_total\": A_total,\n", + " \"L_infill\": L_infill,\n", + " \"lines_infill\": lines_infill,\n", + " \"inner_box\": (t, t, W_in, H_in)\n", + " }\n", + "\n", + "# ----------------- example -----------------\n", + "if __name__ == \"__main__\":\n", + " # Your test values:\n", + " W = H = 10.0\n", + " z = 12\n", + " spacing = 0.15\n", + " line_w = 0.42\n", + " perims = 2\n", + "\n", + " for d in (0.10, 0.15, 0.60):\n", + " res = compute_areas_with_shell(\n", + " width_mm=W, height_mm=H,\n", + " z_mm=z, spacing_mm=spacing, density=d,\n", + " line_width_mm=line_w, shell_perimeters=perims,\n", + " density_adjust=1.0, pattern_tolerance_mm=0.5,\n", + " phase_shift_mm=(0.05, 0.0) # tiny shift so lines don't land on the frame\n", + " )\n", + " print(f\"density={d:.2f} shell={perims}x{line_w:.2f}mm\")\n", + " print(f\" A_shell = {res['A_shell']:.2f} mm^2\")\n", + " print(f\" L_infill = {res['L_infill']:.2f} mm\")\n", + " print(f\" A_infill = {res['A_infill']:.2f} mm^2\")\n", + " print(f\" A_total = {res['A_total']:.2f} mm^2\")\n", + "\n", + " # Optional: plot the infill inside the shell\n", + " import matplotlib.pyplot as plt\n", + " plt.figure(figsize=(5,5))\n", + " # draw shell rectangle\n", + " t = perims*line_w\n", + " plt.plot([t, t+res[\"inner_box\"][2], t+res[\"inner_box\"][2], t, t],\n", + " [t, t, t+res[\"inner_box\"][3], t+res[\"inner_box\"][3], t])\n", + " for P in res[\"lines_infill\"]:\n", + " if len(P) >= 2:\n", + " plt.plot(P[:,0], P[:,1])\n", + " plt.xlim(0, W); plt.ylim(0, H); plt.gca().set_aspect('equal'); plt.grid(True)\n", + " plt.title(f\"Gyroid infill inside {perims} perimeters, d={d:.2f}\")\n", + " plt.xlabel(\"X (mm)\"); plt.ylabel(\"Y (mm)\")\n", + " plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "8e7aaee9-297a-4965-aa76-aaddb440b105", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Infill max area: 14.30 mm² at z = 7.07 mm\n", + "Infill min area: 9.58 mm² at z = 1.62 mm\n", + "Shell area: 30.78 mm²\n", + "Infill area ratio: 49.23 %\n", + "Infill area ratio: 49.23 %\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.signal import argrelextrema\n", + "\n", + "# Parameters (same as before)\n", + "width = 10.0\n", + "height = 10.0\n", + "infill_fraction = 0.15\n", + "shell_layers = 2\n", + "line_thickness = 0.42\n", + "spacing_mm = 0.15 # Prusa “module size”\n", + "z_heights = np.linspace(0, 20, 100)\n", + "\n", + "# Data storage\n", + "areas = []\n", + "shell_areas = []\n", + "infill_areas = []\n", + "lengths = []\n", + "\n", + "# Loop using Prusa model\n", + "for z in z_heights:\n", + " result = compute_areas_with_shell(\n", + " width_mm=width,\n", + " height_mm=height,\n", + " z_mm=z,\n", + " spacing_mm=spacing_mm,\n", + " density=infill_fraction,\n", + " line_width_mm=line_thickness,\n", + " shell_perimeters=shell_layers,\n", + " density_adjust=1.0,\n", + " pattern_tolerance_mm=0.5,\n", + " phase_shift_mm=(0.05, 0.0)\n", + " )\n", + "\n", + " areas.append(result[\"A_total\"])\n", + " shell_areas.append(result[\"A_shell\"])\n", + " infill_areas.append(result[\"A_infill\"])\n", + " lengths.append(result[\"L_infill\"])\n", + "\n", + "# Convert to NumPy for analysis\n", + "z_np = np.array(z_heights)\n", + "areas_np = np.array(areas)\n", + "shell_areas_np = np.array(shell_areas)\n", + "infill_areas_np = np.array(infill_areas)\n", + "lengths_np = np.array(lengths)\n", + "\n", + "# Analyze\n", + "i_max = np.argmax(infill_areas_np)\n", + "i_min = np.argmin(infill_areas_np)\n", + "print(f\"Infill max area: {infill_areas_np[i_max]:.2f} mm² at z = {z_np[i_max]:.2f} mm\")\n", + "print(f\"Infill min area: {infill_areas_np[i_min]:.2f} mm² at z = {z_np[i_min]:.2f} mm\")\n", + "print(f\"Shell area: {shell_areas_np[i_min]:.2f} mm²\")\n", + "#infill_peak_area_ratio = (infill_areas_np[i_max] / infill_areas_np[i_min] - 1) * 100\n", + "if infill_areas_np[i_min] > 1e-6:\n", + " infill_peak_area_ratio = (infill_areas_np[i_max] / infill_areas_np[i_min] - 1) * 100\n", + " print(f\"Infill area ratio: {infill_peak_area_ratio:.2f} %\")\n", + "else:\n", + " print(\"Infill min area is zero — cannot compute ratio.\")\n", + "\n", + "print(f\"Infill area ratio: {infill_peak_area_ratio:.2f} %\")\n", + "\n", + "# Plot\n", + "fig, axs = plt.subplots(2, 1, figsize=(10, 8), sharex=True)\n", + "\n", + "axs[0].plot(z_np, areas_np, label=\"Total Area\", linewidth=2)\n", + "axs[0].plot(z_np, shell_areas_np, label=\"Shell Area\", linestyle='--')\n", + "axs[0].plot(z_np, infill_areas_np, label=\"Infill Area\", linestyle='-.')\n", + "axs[0].set_ylabel(\"Area (mm²)\")\n", + "axs[0].legend()\n", + "axs[0].set_title(f\"Prusa Gyroid Area vs Z Height (density={infill_fraction:.2f})\")\n", + "\n", + "axs[1].plot(z_np, lengths_np, label=\"Infill Line Length\", linewidth=2)\n", + "axs[1].set_ylabel(\"Length (mm)\")\n", + "axs[1].set_xlabel(\"Z Height (mm)\")\n", + "axs[1].set_title(\"Infill Line Length vs Z Height\")\n", + "axs[1].legend()\n", + "\n", + "plt.tight_layout()\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "917f72f0-a1b9-43dd-8294-bc40df50411a", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.13.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/software/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/software/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 0000000..363fcab --- /dev/null +++ b/software/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/software/.ipynb_checkpoints/infill_simulator-checkpoint.ipynb b/software/.ipynb_checkpoints/infill_simulator-checkpoint.ipynb new file mode 100644 index 0000000..5fe3083 --- /dev/null +++ b/software/.ipynb_checkpoints/infill_simulator-checkpoint.ipynb @@ -0,0 +1,832 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 32, + "id": "cbaa6f21-27f8-41d9-8030-78f8b3a587b8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 0.0% ===\n", + "Total Area (approx) = 185.5843 mm²\n", + "Shell Area (approx) = 90.6929 mm²\n", + "Infill Area (approx) = 94.8914 mm²\n", + "Centroid (x_c, y_c) = (0.0052, 0.0562)\n", + "I_x (about centroid) = 7920.0624\n", + "I_y (about centroid) = 7734.7227\n", + "I_xy (product) = -27.3251\n", + "Polar moment, J = 15654.7851\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 13.1% ===\n", + "Total Area (approx) = 171.3331 mm²\n", + "Shell Area (approx) = 90.6929 mm²\n", + "Infill Area (approx) = 80.6402 mm²\n", + "Centroid (x_c, y_c) = (-0.0024, -0.0007)\n", + "I_x (about centroid) = 7489.1696\n", + "I_y (about centroid) = 7502.6263\n", + "I_xy (product) = -50.4279\n", + "Polar moment, J = 14991.7959\n", + "\n" + ] + }, + { + "data": { + "image/png": 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mB2BVz82bNztcvnQsJenOo+QBAQFWj82bLVu2TIqJiZGqVasmTZw4Ubp9+7bTdSbyJoMk8VlAIj27fPkyatSogWnTpuHVV1/1dnGEceLECbRu3Rr9+vXDRx99VObpNODOvTTp6eno3bu3F0pIROVhkkOkc/PmzcOLL76I33//3fITBySP3bt3o3fv3qhYsSLGjRuHDh064K677sLly5exadMmvPfee6hQoQJ++eUX/uwBkQYxySHSqU2bNuG3337Dq6++ik6dOmHVqlXeLpKQLl26hFmzZmH58uVW7+upXr06nnnmGUyZMgVhYWFeLCER2cMkh0inOnbsiJ07d+LBBx/EF198YfVbVSS/oqIiHD9+HJcvX0a1atUQGxtr970+RKQNTHKIiIhISHxPDhEREQmJSQ4REREJiUkOkY8wGAwYN26cbOs7ffo0DAYDli1bZpk2Y8YMmz8wSUTkDUxyiATw66+/on///oiOjkZQUBBq1aqFLl264P333/d20RRj/jHShg0bonLlyggPD0ebNm2QnJws6w96Hj16FN27d0elSpVQtWpVPPXUU07/2nhJJ0+eRFBQEAwGA/bt2ydb+YjIPv6sA5HO7dy5E506dULdunUxYsQIREVF4Y8//sCuXbvw7rvvYvz48d4uoiIuX76MM2fOoH///qhbty5MJhPS09MxbNgwHD9+HHPmzPF4G2fOnEH79u0RFhaGOXPm4MaNG5g3bx5+/fVX7Nmzx+YLAu2ZMGEC/P39UVhY6HG5iMg5THKIdO61115DWFgY9u7di/DwcKvPbP0gpCiaN29u+a0ms3HjxuHRRx/Fe++9h9mzZ1s94r1v3z74+/vjvvvuK7Ou27dv44svvsCwYcOsps+ZMwd5eXnYv38/6tatCwBo06YNunTpgmXLlmHkyJFOlXX9+vVYv349XnzxRfznP/9xqZ5E5D5eriLSuZMnT6JJkyZlEhwAuOuuu8pMW716NZo2bYrAwEA0adIE69atKzPP2bNn8fTTTyMyMtIy35IlS9wqX3p6Oh566CGEh4ejUqVKaNiwIV5++WW31uWMmJgY5Ofn49atW1bTp06dim7duuHEiRNW0yVJQlJSEpKSkvDrr79afbZy5Uo88sgjlgQHAOLj43HvvfdixYoVTpXHZDLh+eefx/PPP48GDRrYnGfYsGGoVKkSsrOz8cgjj6BSpUqoVasWFixYAODO5ciHH34YFStWRHR0NFJSUqyWX7ZsGQwGA7Zv347nnnsOERERCA8Px6hRo3Dr1i3k5ORg6NChqFKlCqpUqYIXX3xR1kt6RFrFkRwinYuOjkZGRgYOHz6Mpk2bOpx3+/btWLVqFZ599llUrlwZ7733Hvr164fs7GxUq1YNAHDhwgX84x//sNyoHBERgR9//BFJSUm4du0aXnjhBafLduTIETzyyCNo3rw5Zs2ahcDAQGRmZmLHjh1W812+fNmp9VWuXBmBgYFW0woKCpCXl4cbN25g69atWLp0KeLi4hAcHGw13+eff46HHnoIXbp0wfbt2y2/6D5x4kR89tlnWLRoEZo1a2aZ/+zZs7h48SIeeOCBMuVo06YN0tLSnCrzO++8g6tXr+KVV15x+FbqoqIi9OjRA+3bt8ebb76J5cuXY9y4cahYsSL+/e9/Y8iQIXj88cfx8ccfY+jQoYiLi0O9evWs1jF+/HhERUVh5syZ2LVrFxYtWoTw8HDs3LkTdevWxZw5c5CWloa33noLTZs2xdChQ52qA5FueeVnQYlINj/99JNUoUIFqUKFClJcXJz04osvSuvXr5du3bplNR8AKSAgQMrMzLRM+/nnnyUA0vvvv2+ZlpSUJNWoUUO6fPmy1fIDBw6UwsLCpPz8fEmSbP+id+lfIZ8/f74EQLp06ZLDOsDBL2aX/Gfr18Pnzp1rNU/nzp2l7Oxsm9s5efKkVKNGDalRo0bSpUuXpNmzZ0sApNdff73MvHv37pUASJ999lmZzyZPniwBkG7evOmwXufOnZMqV64sLVy4UJKkv38pfe/evVbzJSYmSgCkOXPmWKZdvXpVCg4OlgwGg/TVV19Zph87dqzML4mb19utWzerX02Pi4uTDAaDNHr0aMu027dvS7Vr17b61XIiUXEkh0jnunTpgoyMDMydOxfr169HRkYG3nzzTURERODTTz+1+oXs+Ph4q0smzZs3R2hoKH7//XcAdy7drFy5Ek888QQkSbIaYenWrRu++uorHDhwAA8++KBTZTNfQluzZg2GDx8OPz/bV8jT09OdWl+TJk3KTBs0aBAeeOABXLp0CWvXrsWFCxdQUFBgc/n69etj/fr16NChA1q1aoXs7GxMnjwZL730Upl5zesoPXIEAEFBQZZ5bH1u9tJLL6F+/fp45plnnKpfyfnCw8PRsGFDZGZm4oknnrBMb9iwIcLDwy0xKykpKcnqEf62bdsiIyMDSUlJlmkVKlTAAw88gP379ztVJiI9Y5JDJIDWrVtj1apVuHXrFn7++Wd8++23mD9/Pvr3749Dhw6hcePGAGB1b4lZlSpVLD88eenSJeTk5GDRokVYtGiRzW25cjPzgAED8Omnn1p+yLJz5854/PHH0b9/f6uEJz4+3pXqWomOjkZ0dDSAOwnPyJEjER8fj+PHj5e5ZAUAzZo1w/jx4zFr1izLpR1bzMvaehrq5s2bVvPYsmvXLnz++efYuHGj3eSupKCgIERERFhNCwsLQ+3atcu8eygsLMzqx0LNSsfX/MOhderUcWp5ItEwySESSEBAAFq3bo3WrVvj3nvvxfDhw5Gamorp06cDgN0flJT+/02oxcXFAIAnn3wSiYmJNudt3ry50+UJDg7Gtm3bsHnzZvzwww9Yt24dvv76azz88MP46aefLOU5f/68U+sLCwtzmFgAQP/+/fHJJ59g27Zt6NatW5nPv//+e8yZMwcdO3ZERkYGnnjiCXz77bfw97fuDmvUqAEAOHfuXJl1nDt3DlWrVnU4ivPiiy/in//8J+rVq4fTp08D+Pveo3PnziE7O9sqKbEXm/Ji5sy8tqbbWp5INExyiARlvmHW1kHanoiICFSuXBlFRUUeja6U5Ofnh86dO6Nz5854++23MWfOHPz73//G5s2bLdswJxTlWbp0aZnHvEszX2bKzc0t89nWrVvxxBNPID4+Ht999x2+//57PPHEExg2bBg+//xzqxGTWrVqISIiwuaL+/bs2WPzUfSSsrOzkZWVVebmYADo3bs3wsLCkJOT43AdROQZJjlEOrd582Z07NixzCUN89M/DRs2dHpdFSpUQL9+/ZCSkmLzaa1Lly6VuaTiyJUrV1C1alWraebkoORlIHfuybFXlsWLF8NgMOD++++3mn7gwAH07t0brVq1wsqVK2E0GvH4449j0aJFSEpKQpUqVcq8Ibpfv35ITk7GH3/8Ybnks3HjRvzvf//DhAkTLPOZTCacPHkSYWFhloRt0aJFyM/Pt1rfpk2b8P7772PevHmIjY11qs5E5D4mOUQ6N378eOTn5+Oxxx5DbGwsbt26hZ07d+Lrr79GTEwMhg8f7tL6Xn/9dWzevBlt27bFiBEj0LhxY1y5cgUHDhzAhg0bcOXKFafXNWvWLGzbtg29evVCdHQ0Ll68iA8//BC1a9fGQw89ZJnPnVGj1157DTt27ED37t1Rt25dXLlyBStXrsTevXsxfvx43H333Vbzm28C/uGHHxASEmKZ/vTTT+Pq1at46aWXMHLkSKvHyF9++WWkpqaiU6dOeP7553Hjxg289dZbaNasmdV+PXv2LBo1aoTExETLb3l17dq1TJnNIzcdOnSw+Wg6EcmLSQ6Rzs2bNw+pqalIS0vDokWLcOvWLdStWxfPPvssXnnlFZsvCXQkMjISe/bswaxZs7Bq1Sp8+OGHqFatGpo0aYI33njDpXX17t0bp0+fxpIlS3D58mVUr14dHTp0wMyZMy03xbqrV69eOHnyJJYsWYJLly4hKCgIzZs3x9KlS23eT/TZZ5+hQoUKNrc7adIkdO7c2SrBAe7csLt161ZMnDgRU6ZMQUBAAHr16oX//ve/Du/HISJtMEi8+4yIiIgExJ91ICIiIiExySEiIiIhMckhIiIiIekqydm2bRseffRR1KxZEwaDAatXr7b6XJIkTJs2DTVq1EBwcDDi4+PL/OKwLQsWLEBMTAyCgoLQtm1b7NmzR6EaEBERkVp0leTk5eWhRYsWWLBggc3P33zzTbz33nv4+OOPsXv3blSsWBHdunWzvILdlq+//hoTJ07E9OnTceDAAbRo0QLdunVz6dX1REREpD26fbrKYDDg22+/Rd++fQHcGcWpWbMmJk2ahH/9618A7rzxNDIyEsuWLcPAgQNtrqdt27Zo3bo1PvjgAwB3Xmtfp04djB8/HlOmTFGlLkRERCQ/Yd6Tc+rUKZw/f97qpWJhYWGWX+G1leTcunUL+/fvx9SpUy3T/Pz8EB8fj4yMDLvbKiwstHpba3FxMa5cuYJq1aqVeessERERWZMkCdevX0fNmjWd+gFbdwmT5Jh/4C8yMtJqemRkpN0f/7t8+TKKiopsLnPs2DG725o7d67dXy4mIiIi5/zxxx+oXbu2YusXJslR09SpUzFx4kTL37m5uahbty7iwx8HCnV1m5PTjEEV8NSCPvh87BqYbhZ5uziKYT3F4gv19IU6AqyncAKLsSFnFSpXrqzoZoRJcqKiogAAFy5csPpF4wsXLtj9teDq1aujQoUKuHDhgtX0CxcuWNZnS2BgoO1Xuhf6AfbvcdY3g9+d3/sp9ANEbnisp1h8oZ6+UEeA9RTOnQEBpW/xEGbYoV69eoiKisLGjRst065du4bdu3cjLi7O5jIBAQFo1aqV1TLFxcXYuHGj3WWIiIhIH3Q1knPjxg1kZmZa/j516hQOHTqEqlWrom7dunjhhRfwn//8B/fccw/q1auHV199FTVr1rQ8gQUAnTt3xmOPPYZx48YBACZOnIjExEQ88MADaNOmDd555x3k5eW5/MvNREREpC26SnL27duHTp06Wf423xeTmJiIZcuW4cUXX0ReXh5GjhyJnJwcPPTQQ1i3bh2CgoIsy5w8eRKXL1+2/D1gwABcunQJ06ZNw/nz53Hfffdh3bp1ZW5GJiIiIn3RVZLTsWNHOHqtj8FgwKxZszBr1iy785w+fbrMtHHjxllGdoiIiEgMwtyTQ0RERFQSkxwiIiISEpMcIiIiEhKTHCIiIhISkxwiIiISEpMcIiIiEhKTHCIiIhISkxwiIiISEpMcIiIiEhKTHCIiIhISkxwiIiISEpMcIiIiEhKTHCIiIhISkxwiIiISEpMcIiIiEhKTHCIiIhISkxwiIiISEpMcIiIiEhKTHCIiIhISkxwiIiISkr+3C0DuSS9OVXV7JpMJaWlpWJOTDKPRqOq21cR6isUX6ukLdQRYT7V08UtQfZtK4kgOERERCYlJDhEREQmJl6t0quSQotqXrkgezgwLM7b65OyQP+OrX2y/+sAkRwCOGhsbmXd5en2bsdUuOe5dYHy1S8n4Mrbq4eUqIiIiEhJHcgTHy1rqUvPJhNLbYnyV5634MrbKY2zFxCTHh7BhKUMrj1yay8HYyksL8WVslaGl2AKMrxKY5PioLn4JbFAe0kIHaQs7Tc8xtuLSamyBO2UzBhsxKmWAt4siDCY5Poxnh+7RcidZGpNZ1zC24tJTbEk+vPGY0MUvgR1AOcz7SI/7SY9l9gY97ic9ltkb9Lif+oQn6rLcWsMkhyzYoGwTYb+IUAcl6Dl5NesTnujtImianmML8CTUU0xyiIiISEhMcsgKzxisibQ/RKqLHETbH7y8YU20ERCR6qImJjlUBhvTHSLuB9E6fneJvA9ErpszRP6Oi1ovJfHpKp0q+VSFEl98X39yQ6n7HFzdp+zU5KfUPnWnvShVFl9tv1qKLcC+WQuY5Aig9Bderobla41JiXdUeLr/lIptn/BEn3wXh5wHHTnahlLxNa/L19qvnLQcX1+LrSeY5AjI/OWX8wfm0gpTPF6Xlmnt4OfMuuUoc5/wRKTliR1bMzn2l9IHFrnj6ysHQ7nar1rxZWzVw3tyBJZenCpbIxD5MVW5Dn5y7m9XtukpX7gkJsf3V+0DCuPrHDnbr1rkjK3o8fUUkxwf4I0DsF7o4ezeme17WgZRO0q5khtvxtjb3y8t8/R7K0psRW2/cmCSQ0REREJikuNjPD1zEOmyld7PAkvjaI41keLraVlEjK0c8dUCuUbaRYuxXJjk+CA2JnkOgFrEg+EdntRDS8lNaZ6UTZT7Nzw90dJ6fD0hQnzlxiTHR/lqYxLpDNARXz4Yeprg6AETWddpObkpaU1OskfL+2p87WGS48PkOOvXU4MS4SZjV/nawdAXEhwzX4utJyM4eoutp/QYX6UwySGfuMQh0v0ZrvKF2HqacPtqbPUQX8C3klczjujIQ6gkJyYmBgaDocy/sWPH2px/2bJlZeYNCgpSudTaIerB0BcuT5VH1IOhLyevZqIfDH0xwTGT47YCrcdXaUK98Xjv3r0oKiqy/H348GF06dIFCQn2gxwaGorjx49b/jYYDIqWkYiIiNQh1EhOREQEoqKiLP/Wrl2LBg0aoEOHDnaXMRgMVstERkaqWGLtEe2Mn6M4fxPtZnPGVj5aa7u+fAmyND5e7hmhRnJKunXrFr744gtMnDjR4ejMjRs3EB0djeLiYtx///2YM2cOmjRp4nDdhYWFKCwstPx97do1AIAxqAJgUCdvNJlMiq07rTClzE1+xmB/q/860rPiYI+H0D1lLr8x2OjSciXruSYnWdH97A3m2LoSz5J6VhwMwPNLJJ66U4fyY2uvniLF1lyPby59CqPR6NENulqIr73YOvudNZddr/E1l7t0+W31y65wNrau9pluCywGCpTfjEGSJEn5zahvxYoVGDx4MLKzs1GzZk2b82RkZODEiRNo3rw5cnNzMW/ePGzbtg1HjhxB7dq17a57xowZmDlzZpnpKSkpCAkJka0OREREIsrPz8fgwYORm5uL0NBQxbYjbJLTrVs3BAQE4Pvvv3d6GZPJhEaNGmHQoEGYPXu23flsjeTUqVMHPaoMAArVGclR60zr7xERfzy9uB+WJK2EqeC2W+tSssxyvYnZXM8uXbrAaFTpjMYLTCYT0tPTPYpnSVqNbenvrbdHoJRgjmXp76zcbydXat85W05n+iAR4msvniUpGVvV3mofWIwfr36teJIj5OWqrKwsbNiwAatWrXJpOaPRiJYtWyIzM9PhfIGBgQgMDCwz3XSzCLhZZGMJ+al1AE7LSwHw91CnqeA2TAXuDQP3DBxs+X8t/rpyenEqTCYT0tLSYDQahU5yzL45t9gqLu4qvQ6t3UNgKrht+S6LqvR3Ni0vRdb9KFf79bRM9vogUe7BMXPUBykZW9WoNLwiZJKzdOlS3HXXXejVq5dLyxUVFeHXX39Fz549FSqZfq3JSUZaWpps69PajXCidZCuSC9OlT0eWouvCGf47lAitoD24uuL7Vep2IpGqKerAKC4uBhLly5FYmIi/P2tc7ihQ4di6tSplr9nzZqFn376Cb///jsOHDiAJ598EllZWXjmmWfULjYRERHJTLgkZ8OGDcjOzsbTTz9d5rPs7GycO3fO8vfVq1cxYsQINGrUCD179sS1a9ewc+dONG7cWM0ik5f54llgaaLuA18dwSlJ1NiaiV4/R+T6BXORCXe5qmvXrrB3L/WWLVus/p4/fz7mz5+vQqnEsSYn2TvXbxXCzuFvog1/m++xIuvvuWgxpjtEa79yEW4kh5QnSsciSj3kJMqZod7LryS975s1OclCfEeVwH1SFpMccoveD4Z6Lbea9LqP9FpuNXEfiUvP/bISmOSQx/TSqPSemHmD3vaXnsrqbXqLLe+vco2eYqsk4e7JIe8xNyotXhdmg/cMYysurd+vYy4f769yndZjqwYmOSQ7LR0QeQCUl5Y6TcZWflppu4yt/LTUdtXEy1VEREQkJI7kkGJKn42pcfbAM0D1eOPMkPFVh639zPYrDm/0zd7CJIdUY68D86SBsVPUBsZWfHImPoyttoh8KYtJDnkdOzxxMbZiY3xJ63hPDhEREQmJSQ4REREJiUkOERERCYlJDhEREQmJSQ4REREJiUkOERERCYlJDhEREQmJSQ4REREJiUkOERERCYlJDhEREQmJSQ4REREJiUkOERERCYlJDhEREQmJSQ4REREJiUkOERERCYlJDhEREQmJSQ4REREJyd/bBSASSRe/BI+WTy9OlakkJDfGVmyMr5g4kkNERERC4kiOTpU+6+BZhPo8PfNzZZ2Mr7oYW/HJHWNb62NsvY9JjiCY9KhHiQOgK9tkbJXD2IrL27EFGF9vYJIjKHPjYqOShzc6SHsYW/lpJb5MeOSnldgCjK83MMkRHBuVZ7TUQZbG2HpGy7EFmMzKQcsxZnzVwSTHh7BRuUbLHWRpjK1rGFtx6Sm2wJ3yMrbK4dNVPkhvnYA39AlP9HYR3MLYlk+v+0iv5VaTXvdRF78Eyz+SF5McIiIiEhKTHB/FM4ayuvgl6HYEpySeFdqn933C2Nonyj4RoQ/SEiY5Poyd5d9E3Q+i1stVfcIThdsXotXHE9wXZA+THPL5ZEfNuqcXp1r+qcWXY6smxtY71NoHaseXIzry4NNVOpVenKrIGzt97S5/pTpIZ/ajo3kYW3n0CU/EqJQBsq5Ta7FVoo56Ife+dLaNqBVfX223cmKSo2PmLz8blXvk3G9y77PS65OjrL4UW+BOfY3BRlnWJed+UyK2vkYvbVeudmtr3eQcJjkCUKJRid6Y5Ook1dpPciW0vhBbQJ746i22fcITYSowCR9fuS7jqLGf5D4R9ZX2KyfekyMYua4Z8+zSMbXvvSi5XU+JHltP6+fN2DK+yvNGfOW8n4fxdQ2THCIiIhISkxxByXHWIOIZgxxPknl7uFiO2Ir65IbeY2suA9tuWZ5+Z701QmerHJ4SMb5KYZIjODk6S1EalCf18MbjweVhsmNNhASnJE/jK0q7BRhbW0SKr5KY5PgAHgw9T3C0zNcPhp4k4lpMXkvz5dgC4iU4JfEkVHlMcnyIlhu7kkROcEryxYMhY1s+PcdW5ATHjJevlCVUkjNjxgwYDAarf7GxsQ6XSU1NRWxsLIKCgtCsWTOkpaWpVFrv8KURHU87ST10kKX50sGQsXWer8VW66NzpfHylXKESnIAoEmTJjh37pzl3/bt2+3Ou3PnTgwaNAhJSUk4ePAg+vbti759++Lw4cMqllh9vtCYPC3jmpxkmUqiPl84GPpagmPmycFQLz/u6auxBXyjb1abcEmOv78/oqKiLP+qV69ud953330X3bt3x+TJk9GoUSPMnj0b999/Pz744AMVS0xERERKEO6NxydOnEDNmjURFBSEuLg4zJ07F3Xr1rU5b0ZGBiZOnGg1rVu3bli9erXDbRQWFqKwsNDy97Vr1wAAxqAKgEGdvNFkMnm0fFphikuXnozB/lb/7VlxsCZHO8x1cvd1/ub6ebp/vS2tMAWA/cuLpeNZUs+Kgy3/r7UYuxrf0vVck5Os+9gC1u3XUSzt0XL7tRfb8uopSmy/ufQp0tPTXYpnSZ7GVq6fQilXYDFQoPxmDJIkScpvRh0//vgjbty4gYYNG+LcuXOYOXMmzp49i8OHD6Ny5cpl5g8ICEBycjIGDRpkmfbhhx9i5syZuHDhgt3tzJgxAzNnziwzPSUlBSEhIfJUhoiISFD5+fkYPHgwcnNzERoaqth2hBrJ6dGjh+X/mzdvjrZt2yI6OhorVqxAUlKSbNuZOnWq1QjQtWvXUKdOHXw+dg1QqM5IjpxnYc6M6BiD/fH04n5YkrQSpoLbipfJFXLcDG0uu8lkQnp6Orp06QKjUaUzGhWU3kfOxLMkvcbWXE/R4llS/xpJLsXSFm+O6jgbY3vfWS2OSHmiZB/UP+IZWdbpyj5S7eGSwGJVNiNUklNaeHg47r33XmRmZtr8PCoqqsyIzYULFxAVFeVwvYGBgQgMDCwz3XSzCLhZ5H6BXSBnh52Wd+fShjM3rZkKbsNUYHtIuGfgncscat38p+SPbBqNRqEOivZi5iieJek1tmtykpGWliZcPEv65txipKWlOR1LW8zxBdSJsSfxLVlPvd9o7IjRaERaXoosbcGV9uvud8hlKl1DEjrJuXHjBk6ePImnnnrK5udxcXHYuHEjXnjhBcu09PR0xMXFqVRCbUkvTpXtV8zN65Ob3E8PiNxJliR3bEuuV05yxje9OFWIezTUplT7lTu2vkLOXzJXsm/WKqGSnH/961949NFHER0djT///BPTp09HhQoVLPfcDB06FLVq1cLcuXMBAM8//zw6dOiA//73v+jVqxe++uor7Nu3D4sWLfJmNbxKroMhYLtRutq4lHwk0pcaOiBvbM1Krs+d/alUfH0ttsCdUSuj0ahY+9VK2xXt8pSzlOybRW4vQiU5Z86cwaBBg/DXX38hIiICDz30EHbt2oWIiAgAQHZ2Nvz8/r5npl27dkhJScErr7yCl19+Gffccw9Wr16Npk2beqsKREREJBOhkpyvvvrK4edbtmwpMy0hIQEJCXyBUklKnPGbaeVlVSKfuTjC2IpPqRhrJb6+jLF1nXAvAyR5iHqg0Nvr3pUgcv1FrpsrRNwPvnqZqjQRY6skJjlkl0iNicmNNREPGIyvNZH2h0h1kQP3h/OEulxF8jM3ppJvwdUbdgj2yX2zqtoYW8eUvDypNMbWMT3HVk0cySGn6PHMn6M3ztPjftJjmb1Bj/tJj2X2BvZx5eNIDrlkTU6y1YvDtIoN33V6OTNkbF1Xcp9pOcaMrXvkfJeOaJjkkMu02qDYQXpOqwdDxlY+WkxmGV95aLVv9iZeriIiIiIhcSSH3KaFs36eASrH22eFjK1yvN12GVtlebvtagmTHJKFGp0mO0bvUPOAyBirr/Q+Z/sVh1qx1TImOSS78jozew2NnaD2MbbicxQrRwdJxlj73I2tnjHJIdWxMxQXYys2xldcol7i4o3HREREJCQmOURERCQkJjlEREQkJCY5REREJCQmOURERCQkJjlEREQkJCY5REREJCQmOURERCQkJjlEREQkJCY5REREJCQmOURERCQkJjlEREQkJCY5REREJCQmOURERCQkJjlEREQkJCY5REREJCQmOURERCQkJjlEREQkJH9vF4Dc08Uvodx50otTVSgJlceZWLmKsdUOuePL2GoH267+MckRWOkGysalDiU6xvK2wdiqg7EVG+MrHiY5PsTcuNio5KVGx+hsGRhbZXgzxiW3zfjKz9vtl/FVFpMcH8QDojy83TnawtjKQ4uxBRhfOWkxxl38EmAMNmJUygBvF0UYTHJ8WBe/BHaWbtBi51gazw7dp6f4Mrau0UNsSV58usrHdfFLsPyj8ulxP+mxzN6gx3agt/J6ix5j2yc80dtFEAKTHCIiIhISkxyy0NuZjlpEGO3Sc9nVoOf9wzN+x/QcWxH6Hm9jkkNW2JisibQ/RKqLHHgAEZ9IsRWpLmpikkNlsDHdIeJ+ELFO7hBxP/QJT2TSBrGTVxHrpDQ+XaVT5qcqlPrS+/qTV0peAnB2vyoZ27TCFEXWrQdKHihcaTM8YMlPK7EF2DdrBZMcnbP1ZZercbExec6T/adkbPuEJ/rkuzjkPPB42jZKLy9n2Xyx7WrtJxhKLit32Xwxvu5ikiMgOUd5zOvwhTN/OV/EpVQHJPcIXp/wRKTliR9bQL59ppfY+tKBUC+xNZOrb/aV+HqC9+QQERGRkDiSIzA5zwxFv7yh9TNBR9vxtOy+cEYoxz1WjK02ydF21d5H6cWpso60ix5jT3AkxwekF6eyETjgaWdj3r/e2sdybFvUm2DlSm4YW23SY4JTcrvsl5XHJMeHyNGoRHvxmBwJjlbwYGhNruRVCxhba3I8Iq6V+MpRBtHiKycmOT6IHeYdntRDKx1kaYztHSIlr2ZyxFaE+Hp6oqXFtivHaLAIsVWCUEnO3Llz0bp1a1SuXBl33XUX+vbti+PHjztcZtmyZTAYDFb/goKCVCqx9/j6wdDTBEfLfP1gKGLyasaDoWe0HFuzNTnJbi/ry7G1R6gkZ+vWrRg7dix27dqF9PR0mEwmdO3aFXl5eQ6XCw0Nxblz5yz/srKyVCqxd/niwdDTMuuhkwR892DoC7E187XYyjGC4wv0GFslCZXkrFu3DsOGDUOTJk3QokULLFu2DNnZ2di/f7/D5QwGA6Kioiz/IiMjVSqx9/nS9WCRz/Ad8ZWDoS8lOGaMrXP0GF9PR3T0FF8lCf0IeW5uLgCgatWqDue7ceMGoqOjUVxcjPvvvx9z5sxBkyZN7M5fWFiIwsJCy9/Xrl0DABiDKgAGdfJGk8kk27qMwUYn5vG3+q+S5VGKJ/XUQ/0cKV338uJZkl7qbiu+ztZTL3W0xZVYlqaXehuDjT5RT+DvsppMJqf6LGfW5QpPt+m0wGKgQPnNGCRJkpTfjPqKi4vRu3dv5OTkYPv27Xbny8jIwIkTJ9C8eXPk5uZi3rx52LZtG44cOYLatWvbXGbGjBmYOXNmmekpKSkICQmRrQ5EREQiys/Px+DBg5Gbm4vQ0FDFtiNskjNmzBj8+OOP2L59u91kxRaTyYRGjRph0KBBmD17ts15bI3k1KlTBz2qDAAK1RnJ8WQo0xF7172Nwf54enE/LElaCVPBbdXL5S5Xr+OXrqfW6uMp8/5wNp6laWl/OBNbR/XUUl08YTKZkJ6e7nIsbdHSPikdX3e+s1qqj7PM8ezSpQuMxr9HVTy9J8nZfaHaa0ICi/Hj1a8VT3KEvFw1btw4rF27Ftu2bXMpwQEAo9GIli1bIjMz0+48gYGBCAwMLDPddLMIuFnkcnndUfLLL6e0vBSH13JNBbdhKrA/BNozcDAAbVwD9+SatKngtpC/6VQ6vuXFszStxNfV2Jaup7fLr4Rvzi2G0Wj06HvfM3Cw1/dNeeV39jvr7Xp4ymg0WvXz5fXN5XG27brSH3hEpeEVoW48liQJ48aNw7fffotNmzahXr16Lq+jqKgIv/76K2rUqKFACfVBrpuRvXHzm1zb1eMZoLPkjK/a5HoJnMj0+tSkXNvV80MC5fGlB0XkIlSSM3bsWHzxxRdISUlB5cqVcf78eZw/fx4FBX/f3TR06FBMnTrV8vesWbPw008/4ffff8eBAwfw5JNPIisrC88884w3qqAZcnYSanSafJrANXIlcWrGlvF1nt4SWb39dpw36fkk1BuEulz10UcfAQA6duxoNX3p0qUYNmwYACA7Oxt+fn/ndlevXsWIESNw/vx5VKlSBa1atcLOnTvRuHFjtYqtWXL9iJyZ3D8mJ3cDTS9OhclkQlpamqzr1bI1OcmWYWxPKPFDgUp0wL5wEDST+0cgS65X7nXKgbF1T8n1iLgPhUpynLmHesuWLVZ/z58/H/Pnz1eoREREROQtQiU5JD9zZt+zoudn+2b2zkAcnUUoPawq4hmMs5Q6Kyy9DVeXkZsvxlju0VjAtZEdxlY5asRWBExyyClrcpIVv4zjrQbmix1kaUp0mCV5u/MU+Uby8ogeW19uv+a6ezsGWibUjcekPNEOFr7cQZYm4r4Q7fvqLhFjC4hbL1dxP9jHJIdcJkqDEqUechJpn4hUFznI8aOtWiFKPeTEfWIbL1eRW0o2Jj0OlbIzsI+xFZ/Sl7CUxNE5x/QcWyVwJIc8pqeDCs92XKO3faW38nqT3toCkxvn6S22SmKSQ0RERELi5SqShdbv8udZjfsYW7Hp4fKk+UWd5Bo9xFZpTHJIVlo7IPIAKJ/S+1ILMWZ85aWl9svYyktLsVUTkxxShLcPiOwgleetTpOxVZ63RgAYW+V5u29WG5McUoW9zkuuXx0m72FsxWYrBnIeGBlj7xI96WGSQ17FDk5cjK24GFvSCz5dRUREREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQvJ3dYHCwkLs3r0bWVlZyM/PR0REBFq2bIl69eopUT4iIiIitzid5OzYsQPvvvsuvv/+e5hMJoSFhSE4OBhXrlxBYWEh6tevj5EjR2L06NGoXLmykmUmIiIiKpdTl6t69+6NAQMGICYmBj/99BOuX7+Ov/76C2fOnEF+fj5OnDiBV155BRs3bsS9996L9PR0pctNRERE5JBTIzm9evXCypUrYTQabX5ev3591K9fH4mJifjtt99w7tw5WQtJpDdd/BJcmj+9OFWhkpDcXI0twPjqBWMrHqeSnFGjRjm9wsaNG6Nx48ZuF4icU7IxspF5jzudoivrYWy9R67YOloX4+s9bLu+weUbj0u6ceMGiouLraaFhoZ6VCByXelGxsalLDkPfq5ui7FVlpqxLb09xlZ53my7AGPsDS4nOadOncK4ceOwZcsW3Lx50zJdkiQYDAYUFRXJWkBynblxsUHJR+2Dnz08KCpDC/FlQqscLcQXYN/sDS4nOU8++SQkScKSJUsQGRkJg8GgRLlIBmxQntNK52gLEx7P6SG+jK37tBpfxlY9Lic5P//8M/bv34+GDRsqUR5SAA+G7tFqB2lLF78ExtYFeostwLbrLMaWSnL5jcetW7fGH3/8oURZiIiIiGTj8kjOp59+itGjR+Ps2bNo2rRpmcfKmzdvLlvhSH48c3BOn/BEbxfBZYytc/R0pl8SR+vKp+fYAmy7SnA5ybl06RJOnjyJ4cOHW6YZDAbeeKwz7DDFxdjap9eDoBkvPdun99gCd+pgDDZiVMoAbxdFGC4nOU8//TRatmyJL7/8kjce6xwPhtZE6mB4MCxLhINgSWy/fxMttiQfl5OcrKwsfPfdd7j77ruVKA+pjB2l+B0kY6zPy4/O6OKXgLTCFG8Xw6tEbb99whORlufbsZWDy0nOww8/jJ9//plJjkB41i8/T/ajEp22ryY6fcITFRmZc3dfKhFbpeqoB0olOO7El+1Wm1xOch599FFMmDABv/76K5o1a1bmxuPevXvLVjiyr+QXX+7Xz/tSo5Jr38m5zxhbeZgvP8pFjn1Xeh2ijkIoTe79puXY8qZkz7ic5IwePRoAMGvWrDKf8cZjIiIi0gqXk5zSv1VF3if3mb+vnPHLsa+U3k+MrXv0ENuS25CjvH3CE2EqMAkfXznvr1JyX7HtaoPLLwMkbUsvTpWlIYg+jO5p/eTaz97YJmNbPr3GFhA/vp4y72s1YyzXNhlb17n1K+R79+7F5s2bcfHixTIjO2+//bYsBSPPpBenetwgRDxz0OMB0N72PamLqDerypG8epNcZ/8itl1Pv7Na2R+e9s0ixlZJLo/kzJkzB23btsXSpUuxb98+HDx40PLv0KFDChTRdQsWLEBMTAyCgoLQtm1b7Nmzx+H8qampiI2NRVBQEJo1a4a0tDSVSqosuc4cRDl7ECHBKUmO+Ir0aLXeE5zSeNb/N8bWmkixVZrLSc67776LJUuW4OjRo9iyZQs2b95s+bdp0yYlyuiSr7/+GhMnTsT06dNx4MABtGjRAt26dcPFixdtzr9z504MGjQISUlJOHjwIPr27Yu+ffvi8OHDKpdcOTwYetYpeGN42xW+3mHKkYgzttolcmy19qoJEbmc5Pj5+eHBBx9UoiyyePvttzFixAgMHz4cjRs3xscff4yQkBAsWbLE5vzvvvsuunfvjsmTJ6NRo0aYPXs27r//fnzwwQcql1x5Wm3sSvM0wdEDXz0Y6vHeKlf56sFQ5OS1JE9jq9f4qsXle3ImTJiABQsW4J133lGgOJ65desW9u/fj6lTp1qm+fn5IT4+HhkZGTaXycjIwMSJE62mdevWDatXr7a7ncLCQhQWFlr+vnbtGgDAGFQBMKhzL7fJZHJrOXffG2IM9vdou97kSp3N9dRjfT2pJ6CvupqVV2db9SxJT3W2V9fy6gjoq55mpevrTD1L00u9S9bV2/WU891SDgUWAwXKb8YgSZLkygLFxcXo1asX/ve//6Fx48ZlXga4atUqWQvoij///BO1atXCzp07ERcXZ5n+4osvYuvWrdi9e3eZZQICApCcnIxBgwZZpn344YeYOXMmLly4YHM7M2bMwMyZM8tMT0lJQUhIiAw1ISIiEld+fj4GDx6M3NxchIaGKrYdl0dynnvuOWzevBmdOnVCtWrVfPIHOqdOnWo1+nPt2jXUqVMHn49dAxSqM5KzJifZo+VdvcfGGOyPpxf3w5KklTAV3PZ4+2pw5z4icz27dOlSJoHXC2fqXTqeJYkUW1v11EP9ylOy/o5iaYvW628vts7WU+v1K0//GkkuxbM0tY8NbgtU5517Lic5ycnJWLlyJXr16qVEeTxSvXp1VKhQocwIzIULFxAVFWVzmaioKJfmB4DAwEAEBgaWmW66WQTcVOeNz54egNPyUty6lmsquA1TgQk9Awdr8nq3XNenjUajbpMcV2JrjmdJPQMHA9Du/QyefG+1WidX2YqxrVjaouX4OhNbR/XUYp1c9c25xUhLS3M6nqV52je7s023uHQNyX0uDztUrVoVDRo0UKIsHgsICECrVq2wceNGy7Ti4mJs3LjR6vJVSXFxcVbzA0B6errd+UUi2uPlctykqPezQDPRXh9gLosv3ETuLJFuNveVm4zVoqXYepvLSc6MGTMwffp05OfnK1Eej02cOBGffPIJkpOTcfToUYwZMwZ5eXkYPnw4AGDo0KFWNyY///zzWLduHf773//i2LFjmDFjBvbt24dx48Z5qwqqkusNut5sVOwg7RPhDclybF+U5LU0ERId0d5fJRdPv7NynBiIwOXLVe+99x5OnjyJyMhIxMTElBnSP3DggGyFc8eAAQNw6dIlTJs2DefPn8d9992HdevWITIyEgCQnZ0NP7+/c7t27dohJSUFr7zyCl5++WXcc889WL16NZo2beqtKqhOrt/P8cav5bKDLJ9cb782r0stciU3orzc0x5P61hyP6sVXzkPvCK3XznaLuDbb0l2Ocnp27evAsWQ17hx4+yOxGzZsqXMtISEBCQk+Ha2C8jboMzrk5vcZyW+0vDljq15nUqQK8bpxam6eYRYK5ROZtl+Xafnk1AtcDnJmT59uhLlICIiIpKVU0mOJEk++ai4L5LrjB8oe+bh7hmEUteUfe2MRs7YAvKN6igRX1+Lrdy0HFvAN+OrxGiseb0icyrJadKkCaZNm4bHH38cAQEBduc7ceIE3n77bURHR2PKlCmyFZLUJffB0ExLN8CJ3rDtYWzFtSYnGUajUfZYaCm2gLg3kTtDifartfjKzamnq95//33MmzcPUVFRGDBgAN566y0sX74cK1euxKeffoqJEyeiTZs2uO+++xAaGooxY8YoXW5SmKgHCj38VpHSRK6/yHVzlqj7wJeTm5JEja9SnBrJ6dy5M/bt24ft27fj66+/xvLly5GVlYWCggJUr14dLVu2xNChQzFkyBBUqVJF6TKTSpQ66/cWdg5/E/GpI8b3byK2Xd5E/jfR4qskl248fuihh/DQQw8pVRbSIPOBo2fFwV4uift48LNvTU6y5Q24esX42ibXUznexvjaxkTHOS4/XUW+Sa9n/uwgy6fXgyFj6xw9HgwZW+fote2qSZ1fkyQiIiJSGZMccolebv7jDcau08v+Ymxdp6f9paeyagX3mX1OX676888/UbNmTSXLQjqh1eFvNnTPldyHWooxY+s5rcbWjDH2DC9d2eZ0ktOkSRMsWLAAgwfr+yZFkoeWOkx2jsrQQqfJ2CqDsRWXFmKrJU4nOa+99hpGjRqFb7/9FgsXLkTVqlWVLBfpiJoJDztG9anZaTK+6iq9v9l+xaF2bLXK6STn2WefRY8ePZCUlITGjRvjk08+waOPPqpk2UiH7HVirjYwdobaI1dsHa2LvMtWXNh2xSBn+9UTlx4hr1evHjZt2oQPPvgAjz/+OBo1agR/f+tVHDhwQNYCkhjY8YmLsRUb4ys20Ud8XH5PTlZWFlatWoUqVaqgT58+ZZIcIiIiIi1wKUP55JNPMGnSJMTHx+PIkSOIiIhQqlxEREREHnE6yenevTv27NmDDz74AEOHDlWyTEREREQeczrJKSoqwi+//ILatWsrWR4iIiIiWTid5KSnpytZDiIiIiJZ8WcdiIiISEhMcoiIiEhITHKIiIhISExyiIiISEhMcoiIiEhITHKIiIhISExyiIiISEhMcoiIiEhITHKIiIhISExyiIiISEhMcoiIiEhITHKIiIhISExyiIiISEhO/wo5aUsXvwSHn6cXp6pUEnJWeTFzFmOrPYyt2Bhf/WKSI6iSjZINS31ydYrOrJvxVZeasQUYXzUpGVtb62dslcckxwewYSlP6c7R2W0ztsrQQnwZW2UwtmJjkuOD2LDk480O0hbGVj5ajS3A+MpBS/EtWZa0whQvlkQ8THJ8WBe/BHaWbtJSB2kLkx33aT22AOPrLj3Etk94IkalDPB2MYTBp6uIiIhISExyfJwezmy0pItfgq72md7K60163Fd6K6836W1f9QlP9HYRhMAkhyydu946ATXpff/ouexq0PP+4cHQMT23Xb2WW0uY5JAVNipreu4gSxOlHnISKb5Ulgix5XfUM0xyqAw2qDtE3A8i1skdIh44+oQnClcnT4i2L0T8zqqBT1eRTb7+5JXSlwDK27dKv3DOlx9TVeNA4Si+arxwzpfbrujxJdcwydEpe41Mzgbm652lXNzZh7aWkTO2vvqYqhIHIFfjq3RszevztbarhdjaW4b9svfwchUREREJiSM5gjFn+HKdOZjX4wuXN7r4JcAYbJRlhEOJM62S65Qrvn3CE5GWJ35sAW3/yKISsfWlM365R3Hk3m9yx9eXYuspYUZyTp8+jaSkJNSrVw/BwcFo0KABpk+fjlu3bjlcrmPHjjAYDFb/Ro8erVKplZNenCprIxD9MVU5D4BqdD7m7cixLV+4h0CO7y9jq01yt12lY8zYqkuYkZxjx46huLgYCxcuxN13343Dhw9jxIgRyMvLw7x58xwuO2LECMyaNcvyd0hIiNLFVY0SZ4ii8XS/ePuMKr041eM6iHpmKNe9R97aN4ytY3L0ad6MLeBZHfjzHuUTJsnp3r07unfvbvm7fv36OH78OD766KNyk5yQkBBERUUpXUSvk6PDFI3eExwzuTpMrdRHDubLj+7Syr5gbMvSc3JTGhNZZQmT5NiSm5uLqlWrljvf8uXL8cUXXyAqKgqPPvooXn31VYejOYWFhSgsLLT8fe3aNQCAMagCYFDnCqDJZHJrOfO9Na4O3xuD73xV+tdIwjfnFru1ba3pE55Y5iBorqf5v46syUl2Ow5KSStMcSq29urZs+JgrMlJVqRsajLH1pV4lqSn2Dpbx54VBwOAbuNrjkf/GkkeJa/m+mspviX7ZXe/s3K1XU/2rUsCi4EC5TdjkCRJUn4z6svMzESrVq0wb948jBgxwu58ixYtQnR0NGrWrIlffvkFL730Etq0aYNVq1bZXWbGjBmYOXNmmekpKSlCXeoiIiJSQn5+PgYPHozc3FyEhoYqth3NJzlTpkzBG2+84XCeo0ePIjY21vL32bNn0aFDB3Ts2BGffvqpS9vbtGkTOnfujMzMTDRo0MDmPLZGcurUqYMeVQYAheqM5MiRsbsymmMM9sfTi/thSdJKmApu6/Zs0Mxe3UvX0xY91L282IpST1tK1t2Zepamh3r7Qh1LM5lMSE9Pd6mepemh3p7W09M6qvaQSWAxfrz6teJJjuYvV02aNAnDhg1zOE/9+vUt///nn3+iU6dOaNeuHRYtWuTy9tq2bQsADpOcwMBABAYGlpluulkE3CxyeZvuMBo9H1JMy0tx+VqwqeA2TAUm9AwcrMtrwM7W11zP0vRSZ/Nj4eXV1149Aegyxvbq66ieJemlvrbi62wdAX3G1nwTuSv1LElv9XW3np7G1p1tukWl4RXNJzkRERGIiIhwat6zZ8+iU6dOaNWqFZYuXQo/P9dHVQ4dOgQAqFGjhsvL6pEnN72VXE4PHYgnN/fpoX62eHpTo55uaBTlJnJXpBenWu61cZXeYivCTeSuWJOTjJ6B4sdWacK8J+fs2bPo2LEj6tati3nz5uHSpUs4f/48zp8/bzVPbGws9uzZAwA4efIkZs+ejf379+P06dP47rvvMHToULRv3x7Nmzf3VlVUJ8d7G7T+1JYvJjhmvhBbX0xwzDy5PKH12AK+mbyaeVJ2PcRWDZofyXFWeno6MjMzkZmZidq1a1t9Zr7tyGQy4fjx48jPzwcABAQEYMOGDXjnnXeQl5eHOnXqoF+/fnjllVdUL78WiHjW78sdZEkixhZgfOWg1RFZkR4T94QnrxDQamzVJEySM2zYsHLv3YmJiUHJ+6zr1KmDrVu3KlwyfRHpYMgDoDU5YltyXd7EA2BZa3KSYTQadd9+tfzzG94kUt+sJmEuV5F85Li84a2hUvO2Pd2+Hp7CcIdcnZw3h8KZ4Dim9/brKbV+fsMb9BxbbxFmJIfkJddbOEuuT2m+1njd5cnNqiWp+Up5OWMr6gGwJDnbr57iy9g6R0ujskrjSA4REREJiSM5ZJecv3Wl1JkDR2/csyYnGWlpabKsS0+xFf2stSS52q9e4svYukf0H/lkkkMOmb/4clzeMCvdOJ1tXEonNOnFqTCZTLId/PXAk3dx2GIrRq50nkrGWNRO3BG5f5TX3bZra1k5MbaeE/WEkUkOOUXOM//StNC4fLGTNJPjV64d0UJ8Rb2R3BlyHwxL0kJs2Xa1EQet4j055PN8uZMsScT94MvJTUkixhYQt16u4n6wj0kOuWRNTrJQDUqkushBpP0hUl3kINKj1SLVRS7cH7YxySG36L1BsZO0T4R9o/fyK0nv8eXonH16j60SmOQQERGRkHjjMbmt5BmDXm5841mO8/R4UyPj6zwlb0gm72Js/8Ykh2ShhwMiD4Du0UNsAcbXHXqKra+93sFTejwJVQKTHJKVFjtNHvzkocVOk7GVB2MrNi32y2phkkOK8HanyQ5SWYyvuBhbcXk7tt7AJIcUV7rT4uv6xWJr3/MHNcWgdGwdbYeUpVZsvY1JDqmOHZr4GGNxMbbiEvGGZT5CTkREREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQvL3dgGIRNbFL8HuZ+nFqSqWhOTG2IrPXowZX/1gkqNT5sbHxuZ9jg52nizH2GqDO/F1ZhnG1/vYdsXHJEfnSjc2Ni51uNs5eroNxld5asTW1nYYW+Uxtr6HSY5gSjYuNiz5qNU5locjeMrxdowZW+VoJbZmjLF6eOMxERERCYkjOQLjmaE8vH0WaAtH7OTB2IpNi/EF2DeriUmOD2Cn6R6tdpClscN0jx7iy9i6Ty/xZWyVxSTHx7BROadPeKK3i+AyHhCdo4eDX2mMrXP0HFuA8VUC78nxQV38EnTZGZBzGFv79L5v2HbtE2G/iFAHrWGS48PYoKx18UvQ5QiOLTwYliXS/hCpLnIQaX+I0gdpBZMcHydS5+AJUfeDqPVylYgHDiayd4i6D0T8znoD78khn7/er1Qn6c7+VKIsvhzfPuGJGJUyQJF1u7o/lfqeKVlHrVMywXElvkqVg/dQeo4jOURERCQkoUZyYmJikJWVZTVt7ty5mDJlit1lbt68iUmTJuGrr75CYWEhunXrhg8//BCRkZFKF9cj5uxezjMIXzxrkPsMzNP9V3J5ucvma/Ht4pcAY7BRtvXJGVszUS+1KE3L7dZMrjL68kisHIRKcgBg1qxZGDFihOXvypUrO5x/woQJ+OGHH5CamoqwsDCMGzcOjz/+OHbs2KF0UWVR+ovvacPypQOhXJ2QUvtL7tia1+EL8ZXzIKjk/pLzZKVPeCJMBSbh4yvnvSp6ia15PaLHVgnCJTmVK1dGVFSUU/Pm5uZi8eLFSElJwcMPPwwAWLp0KRo1aoRdu3bhH//4h5JFVUR6cSoTHSfI0fGovY/k6jS7+CUgrTBFjiJpki/H1rwO0duvJ7wVW4Anod4gXJLz+uuvY/bs2ahbty4GDx6MCRMmwN/fdjX3798Pk8mE+Ph4y7TY2FjUrVsXGRkZdpOcwsJCFBYWWv6+du0aAMAYVAEwqHObk8lksvuZ+QDmyRlPz4qDsSYnucz2HG1XD8z7xN5lDGOwv9V/bTHvF2/ti7TCFI/PZvvXSMLTi/vpPp6l9QlPtIqtM/EsbU1Osq5ia6uOpduvCMzfWVdiWZo3Yws41zeX951VOrZyXuJ1KLAYKFB+MwZJkiTlN6OOt99+G/fffz+qVq2KnTt3YurUqRg+fDjefvttm/OnpKRg+PDhVgkLALRp0wadOnXCG2+8YXO5GTNmYObMmTbXFxIS4nlFiIiIBJafn4/BgwcjNzcXoaGhim1H8yM5U6ZMsZtsmB09ehSxsbGYOHGiZVrz5s0REBCAUaNGYe7cuQgMDJStTFOnTrXa1rVr11CnTh18PnYNUKjOSI47mbwnZ//fXPoU6enp6NKlC4xGlTJ9GTlbd2OwP55e3A9LklbCVHDbMl3rZ8XunP2XrKfW6+dIeWfFtuJZmpbrX15sy6ujluvmrDsjdM7FsjQt199WbF2ppxJ1U+39PIHFqmxG80nOpEmTMGzYMIfz1K9f3+b0tm3b4vbt2zh9+jQaNmxY5vOoqCjcunULOTk5CA8Pt0y/cOGCw/t6AgMDbSZNpptFwM0ih2WVizuJhqnA/WFa8/aMRqMukxxX624quG21jNbr7G5szfXUev0ccabupeNZmpbr72xs7dVRy3VzVsl6lRfL0rRcf0f1cKaeStTNk+OES1S6hqT59+REREQgNjbW4b+AgACbyx46dAh+fn646667bH7eqlUrGI1GbNy40TLt+PHjyM7ORlxcnCL18SZPbljT89s3Pb3ZTw83+nlaRr0+yixHbLUeX1+NrZkn5ddDbD0pI996XT7NJznOysjIwDvvvIOff/4Zv//+O5YvX44JEybgySefRJUqVQAAZ8+eRWxsLPbs2QMACAsLQ1JSEiZOnIjNmzdj//79GD58OOLi4nT5ZJUztN7o5eZpB6mn/eVrB0NfSF7NfDG2nh7A9RZfT5Mdsk2YJCcwMBBfffUVOnTogCZNmuC1117DhAkTsGjRIss8JpMJx48fR35+vmXa/Pnz8cgjj6Bfv35o3749oqKisGrVKm9UQTWejujopUF5Uk4tX8d3xFcOhr6U4JjJEVs9xNcXRufsYaIjP2GSnPvvvx+7du1CTk4OCgoK8Ntvv2Hq1KlW987ExMRAkiR07NjRMi0oKAgLFizAlStXkJeXh1WrVjn9nh09E/1gqPXyKUn0g6EvJjhmchzAGVtt8+QES8ux9RZhkhxynWgHQ0+HuNOLU3U7glOaqAdDHgTvEK3tAoytXLQYW29ikuPj5OgYtNCg2EHaJsLBUI77MwDxYixS22Vsy/L0hEsLsdUCJjlEREQkJM2/J4eUJ8fv5njrl3L1+DtFatPr75nJeSYqymXI0tKLU9Gz4mCP1lFyP6sZY63/QK4WeNp2vRVbLWGSQxZyHQzN61KKXn5hWkvkjK15fUqRO7lJS0uTbX1aJGcdlW6/cl9C8ZX2KwdvnYh6G5McsiLHwRAo25lp8SZYX2vscsUWkDfhUeregfTiVOF+gFQtch8Qmdy4T85fqLe1HtH3JZMcKkPOg6GZo/XJ3YidIXrDtsdbsS1vPrn5YnzX5CTDaDTKup+djW1588pJ1EuP5VGi7QLi36DMJIdsUqpB2cKDn7rkuI/DWWp3oIyvem1X9IOjFqnZL4uCT1eRXaIdMESrjydEPBtmfP8m2r4Q6R1WnhIttkpjkkMO6fkV6SWJUAcliHDgEOU7KjdR9oko9ZATv/POY5JDREREQuI9OeQUvT6Ky7Od8un1Oj9jWz5v3NQvF8a3fHqOr1o4kkPCYifpPL0Nf+uprFqgp/2lt++iFnB/2ceRHHKJEo+pyomN3TNaH9VhfN2n9bN+xtYzWo+vtzDJIbd46/0ntrBzlBdjKzatHQwZY3lpLb7exiSHPKZ2o2KnqB5vJDyMrzr4okaxaelkxZuY5JBs7HVenjQwdojaYSsWnnaejK82MLZi89bbqbWANx4TERGRkDiSQ4rjGZ24GFtxMbbichRb0UZ5OJJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0REREJikkNERERCYpJDREREQmKSQ0RERELy93YByD1d/BJsTk8vTlW5JOQqe7ErD2Orfe7GFmB8tY6x1ScmOYKx1RDZwLzDk07RlfUxvuqTO7b21snYeocabZexVQeTHB9QsoGxYSlLiYOfs9tkbJXlzdgCjK+SGFtx8Z4cIiIiEhJHcnwMz/rl5Y0zQHsYW3lpKbYAz/yVoJUYlyxHWmGKF0siHiY5PooHRM9opXO0hQdDz2g5tmZd/BIYWzdpPb59whMxKmWAt4shDF6u8nFab/BapKd9pqeyaoGe9lcXvwRdldfb9La/+oQnersIQuBIDnFUxwl66hxLY3zLp+f48szfMT3HliN2nuNIDlno7UxHLaLsE1HqISd+58UmQmz5HfUMkxwqgw3qDhE7F9Hq4wnR9kWf8ETh6uQJ0faFaPVRC5McssnXG5TI18N9PbaA2PtA5Lo5Q8STEzNR66UkYZKcLVu2wGAw2Py3d+9eu8t17NixzPyjR49WseRERESkBGFuPG7Xrh3OnTtnNe3VV1/Fxo0b8cADDzhcdsSIEZg1a5bl75CQEEXKKKfSN6Mp9Zp53vQmH0/2pdzx9dWbVZU6E/a0nSjxMwK+2HaViC9jq2/CJDkBAQGIioqy/G0ymbBmzRqMHz8eBoPB4bIhISFWy+qRGkmP6Lr4JcAYbJTt4C9nR1RyXXLGtk94ItLyfOPlY3LuN7kPMub1yVlGXzsYajW+SvTNvhZbTwiT5JT23Xff4a+//sLw4cPLnXf58uX44osvEBUVhUcffRSvvvqqw9GcwsJCFBYWWv6+du0aAMAYVAEwqHMF0GQyOfzc/NZMT+8t6VlxMADgm0ufOrVdveoTnghjsBHG4DtNwvxfd6zJSQag3L6SI7Yl69mz4mBLmUVjjkH/GkkwBhs9Xp9asQWcj6+j76xIsTXvc1v73tx+PVFyPynZz5XXfp3tg5SKrRztxCmBxUCB8psxSJIkKb8Z9fXs2RMAkJaW5nC+RYsWITo6GjVr1sQvv/yCl156CW3atMGqVavsLjNjxgzMnDmzzPSUlBRdXOoiIiLypvz8fAwePBi5ubkIDQ1VbDuaT3KmTJmCN954w+E8R48eRWxsrOXvM2fOIDo6GitWrEC/fv1c2t6mTZvQuXNnZGZmokGDBjbnsTWSU6dOHfSoMgAoVGckx90M3t2zf2OwP55e3A9dunSB0ahSpq+C0vvDXM8lSSthKrhd7vJaOkt2Jba26qmlusjhztm9a/G0RSv7xdGZvzN11Eo93GUymZCenm7VB3k6Uq2VfVKyHu5+Z+Wqi2pPlgYW48erXyue5Gj+ctWkSZMwbNgwh/PUr1/f6u+lS5eiWrVq6N27t8vba9u2LQA4THICAwMRGBhYZrrpZhFws8jlbbrD3UQjLS/Fo2vC/SOeEeYeDkf7wVRwG6YCx0PWWrsmbo6LK/EtWc+egYM1Vyd3ld4HzsSzJC3uh/Labnl17Bl459KzFuvmCqPRaKmLO7RYf1tt19XvrFzt15VtekSl4RXNJzkRERGIiIhwen5JkrB06VIMHTrUrUTg0KFDAIAaNWq4vCwRERFphzDvyTHbtGkTTp06hWeeeabMZ2fPnkVsbCz27NkDADh58iRmz56N/fv34/Tp0/juu+8wdOhQtG/fHs2bN1e76KpJL07V1OPM3uBpHbR4NmjG2IodW6090qw2Ty6naDm2gPYeVxeBcEnO4sWL0a5dO6t7dMxMJhOOHz+O/Px8AHceO9+wYQO6du2K2NhYTJo0Cf369cP333+vdrG9whcPhnK8DVXrHSXg2cFQz2+M9YXYAjwYukMvsfX03hpfjK0jwiU5KSkp2LFjh83PYmJiIEkSOnbsCACoU6cOtm7dir/++gs3b97EiRMn8Oabbyp6E5TWeJro6KlByVFWvXSUZoyv83wptoD+DoYij+DY4kmyo7fYKkm4JIdc5wuXr+Q4AOqxowTEPxj6yuicLaLHFvA8vnqNLeCbo+1yY5JDFqKe9fvqAbAkUQ+Gvpy8mol6ecOXk9eSfPXSs1yY5JAVkQ6G7CStiRRbgMmrnMxtRSsx9sVLy+UR9SRUaUxyiIiISEhMcqgMOc74vX3WwDNB2+SKrTfjyxE629bkJMtSLxFiK2J8AfFGY9Wg+ZcBknekF6d63CBKLq9GpyNnA9bK696VkF6cavnhVU+Y97feYivqAdBMzrar1r6SK76ixxbwPL5qx9bbmOSQXXJ0lmZKNixfPDvx1Jqc5HJ/vNZZeoqtr3TscrVdJU9UGFv3yX0Sal6niJjkkEPmL74cZ/6APA1LqaQmvTgVJpNJtoO/HqzJSfbod4BKkqvTVDK+vkTOkxRA+23X1ygdX1EwySGnyHnmX5JWGpYvdpJmcneWZlqJLSD25UdHlIotoJ34+nrbBbQTCy3ijcfk83y5kzQTdR/4anJTEm/EFR/3g31Mcsgloh002Dn8TbSDoUh1kYNI8RWpLnLh/rCNSQ4REREJiUkOuUyUsygR6qAEEeKr9/IrSe/7RrTRZDmJ0HblxhuPyW16vOmNHYDz9BhfgDF2hl5jS85R8oZzvWGSQx7TS4fJg5979NJhMr6u01Pb9bXXO3iqZHvQenyVxCSHZKPVDpMHP88xtmLT8gGRMfacVtuvGpjkkOxKd0realjsHOXH2IpPCwdExlcZWoit2pjkkOLUOktkx6g+xlZctvY5YywGtWPrTXy6ioiIiITEkRxSVXlna86cTfCMT5vkiK0z6yHvcRQbtl19E/VSFpMc0hR2guJibMXG+JIW8XIVERERCYlJDhEREQmJl6t0Su3rpsZgI0alDECf8ESYCkyqbltNrKdYfKGevlBHgPUk93Akh4iIiITEJIeIiIiExCSHiIiIhMQkh4iIiITEJIeIiIiExCSHiIiIhMQkh4iIiITEJIeIiIiExCSHiIiIhMQkh4iIiITEJIeIiIiExCSHiIiIhMQkh4iIiITEJIeIiIiExCSHiIiIhMQkh4iIiITEJIeIiIiExCSHiIiIhMQkh4iIiITEJIeIiIiExCSHiIiIhMQkh4iIiITEJIeIiIiEpJsk57XXXkO7du0QEhKC8PBwm/NkZ2ejV69eCAkJwV133YXJkyfj9u3bDtd75coVDBkyBKGhoQgPD0dSUhJu3LihQA2IiIhITbpJcm7duoWEhASMGTPG5udFRUXo1asXbt26hZ07dyI5ORnLli3DtGnTHK53yJAhOHLkCNLT07F27Vps27YNI0eOVKIKREREpCJ/bxfAWTNnzgQALFu2zObnP/30E3777Tds2LABkZGRuO+++zB79my89NJLmDFjBgICAsosc/ToUaxbtw579+7FAw88AAB4//330bNnT8ybNw81a9ZUrD5ERESkLN0kOeXJyMhAs2bNEBkZaZnWrVs3jBkzBkeOHEHLli1tLhMeHm5JcAAgPj4efn5+2L17Nx577DGb2yosLERhYaHl79zc3Dv/E1gMHQ2OuSawGPn5+XfqKHm7MApiPcXiC/X0hToCrKdoAouBAkCSFK6kpDNLly6VwsLCykwfMWKE1LVrV6tpeXl5EgApLS3N5rpee+016d577y0zPSIiQvrwww/tlmH69OkS7nz9+I//+I//+I//+M/NfydPnnQtCXCRV0dypkyZgjfeeMPhPEePHkVsbKxKJXLO1KlTMXHiRMvfOTk5iI6ORnZ2NsLCwrxYMuVcu3YNderUwR9//IHQ0FBvF0cxrKdYfKGevlBHgPUUTW5uLurWrYuqVasquh2vJjmTJk3CsGHDHM5Tv359p9YVFRWFPXv2WE27cOGC5TN7y1y8eNFq2u3bt3HlyhW7ywBAYGAgAgMDy0wPCwsT+ksJAKGhocLXEWA9ReML9fSFOgKsp2j8/JS9xcOrSU5ERAQiIiJkWVdcXBxee+01XLx4EXfddRcAID09HaGhoWjcuLHdZXJycrB//360atUKALBp0yYUFxejbdu2spSLiIiIvEM3d8lmZ2fj0KFDyM7ORlFREQ4dOoRDhw5Z3mnTtWtXNG7cGE899RR+/vlnrF+/Hq+88grGjh1rGXXZs2cPYmNjcfbsWQBAo0aN0L17d4wYMQJ79uzBjh07MG7cOAwcOJBPVhEREemcbp6umjZtGpKTky1/m5+W2rx5Mzp27IgKFSpg7dq1GDNmDOLi4lCxYkUkJiZi1qxZlmXy8/Nx/PhxmEwmy7Tly5dj3Lhx6Ny5M/z8/NCvXz+89957LpUtMDAQ06dPt3kJSxS+UEeA9RSNL9TTF+oIsJ6iUaueBklS+vktIiIiIvXp5nIVERERkSuY5BAREZGQmOQQERGRkJjkEBERkZCY5DjhtddeQ7t27RASEoLw8HCb82RnZ6NXr14ICQnBXXfdhcmTJ+P27dsO13vlyhUMGTIEoaGhCA8PR1JSkuWReG/bsmULDAaDzX979+61u1zHjh3LzD969GgVS+66mJiYMmV+/fXXHS5z8+ZNjB07FtWqVUOlSpXQr18/y8sntej06dNISkpCvXr1EBwcjAYNGmD69Om4deuWw+X0EM8FCxYgJiYGQUFBaNu2bZmXgpaWmpqK2NhYBAUFoVmzZkhLS1OppK6bO3cuWrdujcqVK+Ouu+5C3759cfz4cYfLLFu2rEzMgoKCVCqxe2bMmFGmzOW96V5PcTSz1dcYDAaMHTvW5vx6ieW2bdvw6KOPombNmjAYDFi9erXV55IkYdq0aahRowaCg4MRHx+PEydOlLteV9u2LUxynHDr1i0kJCRgzJgxNj8vKipCr169cOvWLezcuRPJyclYtmwZpk2b5nC9Q4YMwZEjR5Ceno61a9di27ZtGDlypBJVcFm7du1w7tw5q3/PPPMM6tWrZ/WDpraMGDHCark333xTpVK7b9asWVZlHj9+vMP5J0yYgO+//x6pqanYunUr/vzzTzz++OMqldZ1x44dQ3FxMRYuXIgjR45g/vz5+Pjjj/Hyyy+Xu6yW4/n1119j4sSJmD59Og4cOIAWLVqgW7duZd5kbrZz504MGjQISUlJOHjwIPr27Yu+ffvi8OHDKpfcOVu3bsXYsWOxa9cupKenw2QyoWvXrsjLy3O4XGhoqFXMsrKyVCqx+5o0aWJV5u3bt9udV29xNNu7d69VHdPT0wEACQkJdpfRQyzz8vLQokULLFiwwObnb775Jt577z18/PHH2L17NypWrIhu3brh5s2bdtfpatu2S9FfxhKMvR8HTUtLk/z8/KTz589bpn300UdSaGioVFhYaHNdv/32mwRA2rt3r2Xajz/+KBkMBuns2bOyl91Tt27dkiIiIqRZs2Y5nK9Dhw7S888/r06hZBIdHS3Nnz/f6flzcnIko9EopaamWqYdPXpUAiBlZGQoUEJlvPnmm1K9evUczqP1eLZp00YaO3as5e+ioiKpZs2a0ty5c23O/8QTT0i9evWymta2bVtp1KhRipZTLhcvXpQASFu3brU7j71+SsumT58utWjRwun59R5Hs+eff15q0KCBVFxcbPNzPcYSgPTtt99a/i4uLpaioqKkt956yzItJydHCgwMlL788ku763G1bdvDkRwZZGRkoFmzZoiMjLRM69atG65du4YjR47YXSY8PNxqVCQ+Ph5+fn7YvXu34mV21XfffYe//voLw4cPL3fe5cuXo3r16mjatCmmTp2K/Px8FUromddffx3VqlVDy5Yt8dZbbzm81Lh//36YTCbEx8dbpsXGxqJu3brIyMhQo7iyyM3NderH8bQaz1u3bmH//v1WcfDz80N8fLzdOGRkZFjND9xpq3qJW25uLgCUG7cbN24gOjoaderUQZ8+fez2Q1py4sQJ1KxZE/Xr18eQIUOQnZ1td169xxG48/394osv8PTTT8NgMNidT4+xLOnUqVM4f/68VbzCwsLQtm1bu/Fyp23bo5s3HmvZ+fPnrRIcAJa/z58/b3cZ829smfn7+6Nq1ap2l/GmxYsXo1u3bqhdu7bD+QYPHozo6GjUrFkTv/zyC1566SUcP34cq1atUqmkrnvuuedw//33o2rVqti5cyemTp2Kc+fO4e2337Y5//nz5xEQEFDm/qzIyEhNxs6WzMxMvP/++5g3b57D+bQcz8uXL6OoqMhm2zt27JjNZey1VT3Erbi4GC+88AIefPBBNG3a1O58DRs2xJIlS9C8eXPk5uZi3rx5aNeuHY4cOVJu+/WWtm3bYtmyZWjYsCHOnTuHmTNn4p///CcOHz6MypUrl5lfz3E0W716NXJychz+SLUeY1maOSauxMudtm2PzyY5U6ZMwRtvvOFwnqNHj5Z785veuFPvM2fOYP369VixYkW56y95T1GzZs1Qo0YNdO7cGSdPnkSDBg3cL7iLXKnnxIkTLdOaN2+OgIAAjBo1CnPnztX8q9XdiefZs2fRvXt3JCQkYMSIEQ6X1Uo8CRg7diwOHz7s8F4V4M4PD8fFxVn+bteuHRo1aoSFCxdi9uzZShfTLT169LD8f/PmzdG2bVtER0djxYoVSEpK8mLJlLN48WL06NHD4e8k6jGWWuOzSc6kSZMcZtAAUL9+fafWFRUVVeaub/OTNlFRUXaXKX0D1e3bt3HlyhW7y8jBnXovXboU1apVQ+/evV3envnX3DMzM1U9KHoS37Zt2+L27ds4ffo0GjZsWObzqKgo3Lp1Czk5OVajORcuXFA0dra4Ws8///wTnTp1Qrt27bBo0SKXt+eteNpSvXp1VKhQocxTbY7iEBUV5dL8WjFu3DjLwwmunsEbjUa0bNkSmZmZCpVOfuHh4bj33nvtllmvcTTLysrChg0bXB4R1WMszTG5cOECatSoYZl+4cIF3HfffTaXcadt2+XSHTw+rrwbjy9cuGCZtnDhQik0NFS6efOmzXWZbzzet2+fZdr69es1d+NxcXGxVK9ePWnSpEluLb99+3YJgPTzzz/LXDLlfPHFF5Kfn5905coVm5+bbzz+5ptvLNOOHTum+RuPz5w5I91zzz3SwIEDpdu3b7u1Dq3Fs02bNtK4ceMsfxcVFUm1atVyeOPxI488YjUtLi5OszesFhcXS2PHjpVq1qwp/e9//3NrHbdv35YaNmwoTZgwQebSKef69etSlSpVpHfffdfm53qLY2nTp0+XoqKiJJPJ5NJyeogl7Nx4PG/ePMu03Nxcp248dqVt2y2PS3P7qKysLOngwYPSzJkzpUqVKkkHDx6UDh48KF2/fl2SpDtfvKZNm0pdu3aVDh06JK1bt06KiIiQpk6dalnH7t27pYYNG0pnzpyxTOvevbvUsmVLaffu3dL27dule+65Rxo0aJDq9XNkw4YNEgDp6NGjZT47c+aM1LBhQ2n37t2SJElSZmamNGvWLGnfvn3SqVOnpDVr1kj169eX2rdvr3axnbZz505p/vz50qFDh6STJ09KX3zxhRQRESENHTrUMk/pekqSJI0ePVqqW7eutGnTJmnfvn1SXFycFBcX540qOOXMmTPS3XffLXXu3Fk6c+aMdO7cOcu/kvPoLZ5fffWVFBgYKC1btkz67bffpJEjR0rh4eGWJx2feuopacqUKZb5d+zYIfn7+0vz5s2Tjh49Kk2fPl0yGo3Sr7/+6q0qODRmzBgpLCxM2rJli1XM8vPzLfOUruPMmTOl9evXSydPnpT2798vDRw4UAoKCpKOHDnijSo4ZdKkSdKWLVukU6dOSTt27JDi4+Ol6tWrSxcvXpQkSf9xLKmoqEiqW7eu9NJLL5X5TK+xvH79uuW4CEB6++23pYMHD0pZWVmSJEnS66+/LoWHh0tr1qyRfvnlF6lPnz5SvXr1pIKCAss6Hn74Yen999+3/F1e23YWkxwnJCYmSgDK/Nu8ebNlntOnT0s9evSQgoODperVq0uTJk2yytI3b94sAZBOnTplmfbXX39JgwYNkipVqiSFhoZKw4cPtyROWjFo0CCpXbt2Nj87deqU1X7Izs6W2rdvL1WtWlUKDAyU7r77bmny5MlSbm6uiiV2zf79+6W2bdtKYWFhUlBQkNSoUSNpzpw5ViNwpespSZJUUFAgPfvss1KVKlWkkJAQ6bHHHrNKGLRm6dKlNr/DJQdz9RrP999/X6pbt64UEBAgtWnTRtq1a5flsw4dOkiJiYlW869YsUK69957pYCAAKlJkybSDz/8oHKJnWcvZkuXLrXMU7qOL7zwgmV/REZGSj179pQOHDigfuFdMGDAAKlGjRpSQECAVKtWLWnAgAFSZmam5XO9x7Gk9evXSwCk48ePl/lMr7E0H99K/zPXpbi4WHr11VelyMhIKTAwUOrcuXOZ+kdHR0vTp0+3muaobTvLIEmS5NoFLiIiIiLt43tyiIiISEhMcoiIiEhITHKIiIhISExyiIiISEhMcoiIiEhITHKIiIhISExyiIiISEhMcoiIiEhITHKISJeOHz+OqKgoXL9+XfVtr1u3Dvfddx+Ki4tV3zYROY9JDhF5RVFREdq1a4fHH3/canpubi7q1KmDf//73w6Xnzp1KsaPH4/KlSsrWUybunfvDqPRiOXLl6u+bSJyHn/WgYi85n//+x/uu+8+fPLJJxgyZAgAYOjQofj555+xd+9eBAQE2FwuOzsbd999N06dOoVatWqpWWSLBQsWYNmyZdi7d69Xtk9E5eNIDhF5zb333ovXX38d48ePx7lz57BmzRp89dVX+Oyzz+wmOACwYsUKtGjRwirBWbZsGcLDw7F27Vo0bNgQISEh6N+/P/Lz85GcnIyYmBhUqVIFzz33HIqKiizLxcTE4D//+Q+GDh2KSpUqITo6Gt999x0uXbqEPn36oFKlSmjevDn27dtnVYZHH30U+/btw8mTJ+XfMUQkCyY5RORV48ePR4sWLfDUU09h5MiRmDZtGlq0aOFwmf/7v//DAw88UGZ6fn4+3nvvPXz11VdYt24dtmzZgsceewxpaWlIS0vD559/joULF+Kbb76xWm7+/Pl48MEHcfDgQfTq1QtPPfUUhg4diieffBIHDhxAgwYNMHToUJQc+K5bty4iIyPxf//3f/LsCCKSnb+3C0BEvs1gMOCjjz5Co0aN0KxZM0yZMqXcZbKysmwmOSaTCR999BEaNGgAAOjfvz8+//xzXLhwAZUqVULjxo3RqVMnbN68GQMGDLAs17NnT4waNQoAMG3aNHz00Udo3bo1EhISAAAvvfQS4uLicOHCBURFRVmWq1mzJrKysjyqPxEphyM5ROR1S5YsQUhICE6dOoUzZ86UO39BQQGCgoLKTA8JCbEkOAAQGRmJmJgYVKpUyWraxYsXrZZr3ry51ecA0KxZszLTSi8XHByM/Pz8cstLRN7BJIeIvGrnzp2YP38+1q5dizZt2iApKQnlPQ9RvXp1XL16tcx0o9Fo9bfBYLA5rfSj3yXnMRgMdqeVXu7KlSuIiIhwWFYi8h4mOUTkNfn5+Rg2bBjGjBmDTp06YfHixdizZw8+/vhjh8u1bNkSv/32m0qltO3mzZs4efIkWrZs6dVyEJF9THKIyGumTp0KSZLw+uuvA7jzpNO8efPw4osv4vTp03aX69atGzIyMqyeklLbrl27EBgYiLi4OK+VgYgcY5JDRF6xdetWLFiwAEuXLkVISIhl+qhRo9CuXTuHl6169OgBf39/bNiwQa3ilvHll19iyJAhVmUnIm3hywCJSJcWLFiA7777DuvXr1d925cvX0bDhg2xb98+1KtXT/XtE5Fz+Ag5EenSqFGjkJOTg+vXr6v+0w6nT5/Ghx9+yASHSOM4kkNERERC4j05REREJCQmOURERCQkJjlEREQkJCY5REREJCQmOURERCQkJjlEREQkJCY5REREJCQmOURERCQkJjlEREQkpP8HkwfIsBGx0OwAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 32.2% ===\n", + "Total Area (approx) = 160.8960 mm²\n", + "Shell Area (approx) = 90.6929 mm²\n", + "Infill Area (approx) = 70.2031 mm²\n", + "Centroid (x_c, y_c) = (-0.0016, -0.0029)\n", + "I_x (about centroid) = 7290.6465\n", + "I_y (about centroid) = 7223.9049\n", + "I_xy (product) = 6.3870\n", + "Polar moment, J = 14514.5514\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 59.9% ===\n", + "Total Area (approx) = 189.2903 mm²\n", + "Shell Area (approx) = 90.6929 mm²\n", + "Infill Area (approx) = 98.5974 mm²\n", + "Centroid (x_c, y_c) = (0.0042, 0.0079)\n", + "I_x (about centroid) = 7941.1741\n", + "I_y (about centroid) = 7968.3638\n", + "I_xy (product) = -3.6752\n", + "Polar moment, J = 15909.5379\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 100.0% ===\n", + "Total Area (approx) = 402.0075 mm²\n", + "Shell Area (approx) = 90.6929 mm²\n", + "Infill Area (approx) = 311.3146 mm²\n", + "Centroid (x_c, y_c) = (-0.0000, -0.0000)\n", + "I_x (about centroid) = 13467.4200\n", + "I_y (about centroid) = 13467.4200\n", + "I_xy (product) = 0.0000\n", + "Polar moment, J = 26934.8400\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " dx = XX[0, 1] - XX[0, 0]\n", + " dy = YY[1, 0] - YY[0, 0]\n", + " dA = dx * dy\n", + "\n", + " A = np.count_nonzero(mask) * dA\n", + " if A == 0:\n", + " return A, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0\n", + "\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + " x_c = np.sum(x_vals * dA) / A\n", + " y_c = np.sum(y_vals * dA) / A\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = np.sum((y_shift**2) * dA)\n", + " I_y = np.sum((x_shift**2) * dA)\n", + " I_xy = np.sum((x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return A, x_c, y_c, I_x, I_y, I_xy, J\n", + "\n", + "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n", + " A_total = width ** 2\n", + " shell_thickness = 2 * layer_width * shell_layers\n", + " A_shell = A_total - (width - shell_thickness) ** 2\n", + " r = (A_total / A_shell) ** (1 / (steps - 1))\n", + " return [(A_shell * r**i - A_shell) / (A_total - A_shell) for i in range(steps)]\n", + "\n", + "def gyroid_infill_rectangular_with_shell(\n", + " width,\n", + " height,\n", + " infill_fraction, # Now passed as 0.0 to 1.0\n", + " z_height=0.0,\n", + " line_thickness=0.1,\n", + " shell_layers=3,\n", + " layer_width=0.4,\n", + " plot=True\n", + "):\n", + " base_frequency = 1.0\n", + " max_multiplier = 5.0\n", + " #scale_factor = base_frequency + (max_multiplier - 1.0) * infill_fraction\n", + " scale_factor = base_frequency / np.sqrt(1.0 - 0.999 * infill_fraction)\n", + "\n", + "\n", + " N = 400\n", + " xs = np.linspace(-width / 2, width / 2, N)\n", + " ys = np.linspace(-height / 2, height / 2, N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " x_s = scale_factor * XX\n", + " y_s = scale_factor * YY\n", + " z_s = scale_factor * z_height\n", + "\n", + " f_vals = (np.sin(x_s) * np.cos(y_s)\n", + " + np.sin(y_s) * np.cos(z_s)\n", + " + np.sin(z_s) * np.cos(x_s))\n", + "\n", + " if infill_fraction >= 1.0:\n", + " line_mask = np.ones_like(f_vals, dtype=bool)\n", + " else:\n", + " line_mask = np.abs(f_vals) < line_thickness\n", + "\n", + " shell_thickness = shell_layers * layer_width\n", + " inner_w = width / 2 - shell_thickness\n", + " inner_h = height / 2 - shell_thickness\n", + "\n", + " shell_mask = (\n", + " (np.abs(XX) >= inner_w) |\n", + " (np.abs(YY) >= inner_h)\n", + " )\n", + "\n", + " inner_mask = (\n", + " (np.abs(XX) < inner_w) &\n", + " (np.abs(YY) < inner_h)\n", + " )\n", + "\n", + " gyroid_mask = line_mask & inner_mask\n", + " final_mask = shell_mask | gyroid_mask\n", + "\n", + " A_total, x_c, y_c, I_x, I_y, I_xy, J = compute_area_moments(XX, YY, final_mask)\n", + " A_shell, *_ = compute_area_moments(XX, YY, shell_mask)\n", + "\n", + " if plot:\n", + " plt.figure(figsize=(6, 6))\n", + " pattern_img = np.where(final_mask, 1.0, np.nan)\n", + " plt.imshow(\n", + " pattern_img,\n", + " origin='lower',\n", + " extent=[-width / 2, width / 2, -height / 2, height / 2],\n", + " interpolation='none'\n", + " )\n", + " plt.title(\n", + " f\"Gyroid Infill @ {infill_fraction*100:.1f}%\\nShells={shell_layers}×{layer_width}mm\"\n", + " )\n", + " plt.xlabel(\"X (mm)\")\n", + " plt.ylabel(\"Y (mm)\")\n", + " plt.gca().set_aspect('equal', 'box')\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " print(f\"=== Gyroid Infill {infill_fraction*100:.1f}% ===\")\n", + " print(f\"Total Area (approx) = {A_total:.4f} mm²\")\n", + " print(f\"Shell Area (approx) = {A_shell:.4f} mm²\")\n", + " print(f\"Infill Area (approx) = {A_total - A_shell:.4f} mm²\")\n", + " print(f\"Centroid (x_c, y_c) = ({x_c:.4f}, {y_c:.4f})\")\n", + " print(f\"I_x (about centroid) = {I_x:.4f}\")\n", + " print(f\"I_y (about centroid) = {I_y:.4f}\")\n", + " print(f\"I_xy (product) = {I_xy:.4f}\")\n", + " print(f\"Polar moment, J = {J:.4f}\")\n", + " print()\n", + "\n", + " return final_mask\n", + "\n", + "# Run the 5-step gyroid fill pattern demo\n", + "if __name__ == \"__main__\":\n", + " width = 20\n", + " shell_layers = 3\n", + " layer_width = 0.4\n", + " line_thickness = 0.40\n", + " z_height = 2.5\n", + "\n", + " fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=5)\n", + "\n", + " for f in fractions:\n", + " gyroid_infill_rectangular_with_shell(\n", + " width=width,\n", + " height=width,\n", + " infill_fraction=f,\n", + " z_height=z_height,\n", + " line_thickness=line_thickness,\n", + " shell_layers=shell_layers,\n", + " layer_width=layer_width,\n", + " plot=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "da593f73-5609-43ec-8ca2-d877d41eb25d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 0.0% ====\n", + "Total Area = 161.6485\n", + "Shell Area = 138.9338\n", + "Infill Area = 22.7147\n", + "Centroid (x_c, y_c) = (-0.0000, -0.0000)\n", + "I_x = 20764.2030\n", + "I_y = 20764.2030\n", + "I_xy = -1427.5163\n", + "Polar moment J = 41528.4060\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 10.8% ====\n", + "Total Area = 348.1033\n", + "Shell Area = 138.9338\n", + "Infill Area = 209.1695\n", + "Centroid (x_c, y_c) = (-0.2654, -0.2654)\n", + "I_x = 34242.7410\n", + "I_y = 34242.7410\n", + "I_xy = -350.7013\n", + "Polar moment J = 68485.4820\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 28.2% ====\n", + "Total Area = 445.9947\n", + "Shell Area = 138.9338\n", + "Infill Area = 307.0609\n", + "Centroid (x_c, y_c) = (0.0335, 0.0335)\n", + "I_x = 39073.3662\n", + "I_y = 39073.3662\n", + "I_xy = -130.3023\n", + "Polar moment J = 78146.7325\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 55.8% ====\n", + "Total Area = 521.3240\n", + "Shell Area = 138.9338\n", + "Infill Area = 382.3902\n", + "Centroid (x_c, y_c) = (0.2949, 0.2949)\n", + "I_x = 43938.0877\n", + "I_y = 43938.0877\n", + "I_xy = -83.4094\n", + "Polar moment J = 87876.1754\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 100.0% ====\n", + "Total Area = 904.5169\n", + "Shell Area = 138.9338\n", + "Infill Area = 765.5831\n", + "Centroid (x_c, y_c) = (-0.0000, -0.0000)\n", + "I_x = 68178.8138\n", + "I_y = 68178.8138\n", + "I_xy = -0.0000\n", + "Polar moment J = 136357.6276\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " dx = XX[0, 1] - XX[0, 0] if XX.shape[1] > 1 else 0.0\n", + " dy = YY[1, 0] - YY[0, 0] if YY.shape[0] > 1 else 0.0\n", + " dA = dx * dy\n", + "\n", + " A = np.count_nonzero(mask) * dA\n", + " if A == 0:\n", + " return {\"A\": 0.0, \"x_c\": 0.0, \"y_c\": 0.0, \"I_x\": 0.0, \"I_y\": 0.0, \"I_xy\": 0.0, \"J\": 0.0}\n", + "\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + " x_c = np.sum(x_vals * dA) / A\n", + " y_c = np.sum(y_vals * dA) / A\n", + "\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = np.sum((y_shift**2) * dA)\n", + " I_y = np.sum((x_shift**2) * dA)\n", + " I_xy = np.sum((x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return {\"A\": A, \"x_c\": x_c, \"y_c\": y_c, \"I_x\": I_x, \"I_y\": I_y, \"I_xy\": I_xy, \"J\": J}\n", + "\n", + "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n", + " A_total = width ** 2\n", + " shell_thickness = 2 * layer_width * shell_layers\n", + " A_shell = A_total - (width - shell_thickness) ** 2\n", + " r = (A_total / A_shell) ** (1 / (steps - 1))\n", + " return [(A_shell * r**i - A_shell) / (A_total - A_shell) for i in range(steps)]\n", + "\n", + "def cubic_corner_infill_rectangular_with_shell_fractional(\n", + " width=20.0,\n", + " height=20.0,\n", + " spacing=5.0,\n", + " infill_fraction=1.0,\n", + " line_thickness=0.2,\n", + " z_height=0.0,\n", + " shell_layers=3,\n", + " layer_width=0.4,\n", + " plot=True\n", + "):\n", + " N = 400\n", + " xs = np.linspace(-width / 2, width / 2, N)\n", + " ys = np.linspace(-height / 2, height / 2, N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + " Z = z_height\n", + "\n", + " def dist_mod(coord, spc):\n", + " remainder = np.mod(coord, spc)\n", + " return np.minimum(remainder, spc - remainder)\n", + "\n", + " effective_spacing = spacing / np.sqrt(infill_fraction) if infill_fraction > 0 else 1e6\n", + "\n", + " dist1 = dist_mod(XX + YY, effective_spacing)\n", + " dist2 = dist_mod(XX + Z, effective_spacing)\n", + " dist3 = dist_mod(YY + Z, effective_spacing)\n", + "\n", + " pattern_mask = (\n", + " (dist1 < line_thickness) |\n", + " (dist2 < line_thickness) |\n", + " (dist3 < line_thickness)\n", + " )\n", + "\n", + " if infill_fraction >= 1.0:\n", + " pattern_mask = np.ones_like(pattern_mask, dtype=bool)\n", + "\n", + " shell_thickness = shell_layers * layer_width\n", + " outer_rect = (\n", + " (np.abs(XX) <= width / 2) &\n", + " (np.abs(YY) <= height / 2)\n", + " )\n", + " inner_rect = (\n", + " (np.abs(XX) <= (width / 2 - shell_thickness)) &\n", + " (np.abs(YY) <= (height / 2 - shell_thickness))\n", + " )\n", + "\n", + " shell_mask = outer_rect & (~inner_rect)\n", + " infill_mask = pattern_mask & inner_rect\n", + " final_mask = shell_mask | infill_mask\n", + "\n", + " total_moments = compute_area_moments(XX, YY, final_mask)\n", + " shell_moments = compute_area_moments(XX, YY, shell_mask)\n", + " infill_area = total_moments[\"A\"] - shell_moments[\"A\"]\n", + "\n", + " if plot:\n", + " plt.figure()\n", + " pattern_img = np.where(final_mask, 1.0, np.nan)\n", + " plt.imshow(pattern_img, origin='lower', extent=[-width / 2, width / 2, -height / 2, height / 2])\n", + " plt.title(f'Cubic Infill @ {infill_fraction*100:.1f}%, shell={shell_layers}×{layer_width}mm')\n", + " plt.xlabel('X')\n", + " plt.ylabel('Y')\n", + " plt.axis('equal')\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " print(f\"==== Infill {infill_fraction*100:.1f}% ====\")\n", + " print(f\"Total Area = {total_moments['A']:.4f}\")\n", + " print(f\"Shell Area = {shell_moments['A']:.4f}\")\n", + " print(f\"Infill Area = {infill_area:.4f}\")\n", + " print(f\"Centroid (x_c, y_c) = ({total_moments['x_c']:.4f}, {total_moments['y_c']:.4f})\")\n", + " print(f\"I_x = {total_moments['I_x']:.4f}\")\n", + " print(f\"I_y = {total_moments['I_y']:.4f}\")\n", + " print(f\"I_xy = {total_moments['I_xy']:.4f}\")\n", + " print(f\"Polar moment J = {total_moments['J']:.4f}\")\n", + " print()\n", + "\n", + "# --- RUN SIMULATION ---\n", + "if __name__ == \"__main__\":\n", + " width = 30\n", + " shell_layers = 3\n", + " layer_width = 0.4\n", + " spacing = 3.0\n", + " line_thickness = 1.05*0.4 # realistic for a 0.4 mm nozzle\n", + " steps = 5\n", + "\n", + " fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=steps)\n", + "\n", + " for f in fractions:\n", + " cubic_corner_infill_rectangular_with_shell_fractional(\n", + " width=width,\n", + " height=width,\n", + " spacing=spacing,\n", + " infill_fraction=f,\n", + " line_thickness=line_thickness,\n", + " z_height=22.65,\n", + " shell_layers=shell_layers,\n", + " layer_width=layer_width,\n", + " plot=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "8c1f08b2-609a-4625-82d0-c3b68d578f30", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 0.0% ====\n", + "Total Area = 118.3510\n", + "Shell Area = 90.6929\n", + "Infill Area = 27.6581\n", + "I_x = 5758.9127\n", + "I_y = 5758.9127\n", + "I_xy = -0.0000\n", + "Polar moment J = 11517.8255\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 13.1% ====\n", + "Total Area = 169.8080\n", + "Shell Area = 90.6929\n", + "Infill Area = 79.1151\n", + "I_x = 7237.4443\n", + "I_y = 7237.4443\n", + "I_xy = 0.0000\n", + "Polar moment J = 14474.8886\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 32.2% ====\n", + "Total Area = 216.1192\n", + "Shell Area = 90.6929\n", + "Infill Area = 125.4263\n", + "I_x = 8591.1870\n", + "I_y = 8591.1870\n", + "I_xy = -0.0000\n", + "Polar moment J = 17182.3741\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 59.9% ====\n", + "Total Area = 257.2848\n", + "Shell Area = 90.6929\n", + "Infill Area = 166.5919\n", + "I_x = 9774.6930\n", + "I_y = 9774.6930\n", + "I_xy = 0.0000\n", + "Polar moment J = 19549.3860\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 100.0% ====\n", + "Total Area = 293.3047\n", + "Shell Area = 90.6929\n", + "Infill Area = 202.6118\n", + "I_x = 10715.9519\n", + "I_y = 10715.9519\n", + "I_xy = 0.0000\n", + "Polar moment J = 21431.9039\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " dx = XX[0, 1] - XX[0, 0] if XX.shape[1] > 1 else 0.0\n", + " dy = YY[1, 0] - YY[0, 0] if YY.shape[0] > 1 else 0.0\n", + " dA = dx * dy\n", + "\n", + " A = np.count_nonzero(mask) * dA\n", + " if A == 0:\n", + " return {\"A\": 0.0, \"x_c\": 0.0, \"y_c\": 0.0, \"I_x\": 0.0, \"I_y\": 0.0, \"I_xy\": 0.0, \"J\": 0.0}\n", + "\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + " x_c = np.sum(x_vals * dA) / A\n", + " y_c = np.sum(y_vals * dA) / A\n", + "\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = np.sum((y_shift**2) * dA)\n", + " I_y = np.sum((x_shift**2) * dA)\n", + " I_xy = np.sum((x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return {\"A\": A, \"x_c\": x_c, \"y_c\": y_c, \"I_x\": I_x, \"I_y\": I_y, \"I_xy\": I_xy, \"J\": J}\n", + "\n", + "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n", + " A_total = width ** 2\n", + " shell_thickness = 2 * layer_width * shell_layers\n", + " A_shell = A_total - (width - shell_thickness) ** 2\n", + " r = (A_total / A_shell) ** (1 / (steps - 1))\n", + "\n", + " fractions = []\n", + " for i in range(steps):\n", + " A_i = A_shell * (r ** i)\n", + " f = (A_i - A_shell) / (A_total - A_shell)\n", + " fractions.append(f)\n", + " return fractions\n", + "\n", + "def grid_infill_rectangular_with_shell(width, height, spacing, infill_fraction,\n", + " line_thickness, shell_layers, layer_width, plot=True):\n", + " N = 400\n", + " xs = np.linspace(-width / 2, width / 2, N)\n", + " ys = np.linspace(-height / 2, height / 2, N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " def dist_mod(coord, spc):\n", + " remainder = np.mod(coord, spc)\n", + " return np.minimum(remainder, spc - remainder)\n", + "\n", + " effective_spacing = spacing / np.sqrt(infill_fraction) if infill_fraction > 0 else 1e6\n", + " dist_x = dist_mod(XX, effective_spacing)\n", + " dist_y = dist_mod(YY, effective_spacing)\n", + " pattern_mask = (dist_x < line_thickness) | (dist_y < line_thickness)\n", + "\n", + " shell_thickness = shell_layers * layer_width\n", + " outer_rect = (np.abs(XX) <= width / 2) & (np.abs(YY) <= height / 2)\n", + " inner_rect = (np.abs(XX) <= (width / 2 - shell_thickness)) & (np.abs(YY) <= (height / 2 - shell_thickness))\n", + "\n", + " shell_mask = outer_rect & (~inner_rect)\n", + " infill_mask = pattern_mask & inner_rect\n", + " final_mask = shell_mask | infill_mask\n", + "\n", + " total_moments = compute_area_moments(XX, YY, final_mask)\n", + " shell_moments = compute_area_moments(XX, YY, shell_mask)\n", + " infill_area = total_moments[\"A\"] - shell_moments[\"A\"]\n", + "\n", + " if plot:\n", + " plt.figure()\n", + " pattern_img = np.where(final_mask, 1.0, np.nan)\n", + " plt.imshow(pattern_img, origin='lower', extent=[-width / 2, width / 2, -height / 2, height / 2])\n", + " plt.title(f\"Infill={infill_fraction*100:.1f}%, Shell={shell_layers}×{layer_width}mm\")\n", + " plt.xlabel(\"X\")\n", + " plt.ylabel(\"Y\")\n", + " plt.axis(\"equal\")\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " print(f\"==== Infill {infill_fraction*100:.1f}% ====\")\n", + " print(f\"Total Area = {total_moments['A']:.4f}\")\n", + " print(f\"Shell Area = {shell_moments['A']:.4f}\")\n", + " print(f\"Infill Area = {infill_area:.4f}\")\n", + " print(f\"I_x = {total_moments['I_x']:.4f}\")\n", + " print(f\"I_y = {total_moments['I_y']:.4f}\")\n", + " print(f\"I_xy = {total_moments['I_xy']:.4f}\")\n", + " print(f\"Polar moment J = {total_moments['J']:.4f}\")\n", + " print()\n", + "\n", + " return total_moments\n", + "\n", + "# ---- Run 5 levels with geometric infill growth ----\n", + "if __name__ == \"__main__\":\n", + " width = 20.0\n", + " shell_layers = 3\n", + " layer_width = 0.4\n", + " spacing = 2.0\n", + " line_thickness = 0.4\n", + "\n", + " fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=5)\n", + "\n", + " for f in fractions:\n", + " grid_infill_rectangular_with_shell(\n", + " width=width,\n", + " height=width,\n", + " spacing=spacing,\n", + " infill_fraction=f,\n", + " line_thickness=line_thickness,\n", + " shell_layers=shell_layers,\n", + " layer_width=layer_width,\n", + " plot=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a188471d-8c1a-44fd-8f14-0864efa1a47a", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/software/GRID.ipynb b/software/GRID.ipynb new file mode 100644 index 0000000..8b04493 --- /dev/null +++ b/software/GRID.ipynb @@ -0,0 +1,527 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "ce1204dd-7916-4b17-a70d-61857cb0a2ca", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 0.0% ====\n", + "Total Area = 31.1879 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 0.0000 mm²\n", + "I_x = 440.0430\n", + "I_y = 440.0430\n", + "I_xy = -0.0000\n", + "Polar moment, J = 880.0860\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 15.0% ====\n", + "Total Area = 41.5764 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 10.3885 mm²\n", + "I_x = 507.1439\n", + "I_y = 507.1439\n", + "I_xy = -0.0000\n", + "Polar moment, J = 1014.2879\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 30.0% ====\n", + "Total Area = 52.1754 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 20.9874 mm²\n", + "I_x = 567.1050\n", + "I_y = 567.1050\n", + "I_xy = 0.0000\n", + "Polar moment, J = 1134.2101\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 60.0% ====\n", + "Total Area = 71.9147 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 40.7268 mm²\n", + "I_x = 671.7147\n", + "I_y = 671.7147\n", + "I_xy = -0.0000\n", + "Polar moment, J = 1343.4294\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Grid Infill 100.0% ====\n", + "Total Area = 100.2505 mm²\n", + "Shell Area = 31.1879 mm²\n", + "Infill Area = 69.0625 mm²\n", + "I_x = 837.5117\n", + "I_y = 837.5117\n", + "I_xy = -0.0000\n", + "Polar moment, J = 1675.0235\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# ------------------------------\n", + "# Geometry utilities\n", + "# ------------------------------\n", + "\n", + "def _dist_mod(u, spacing):\n", + " \"\"\"Distance to nearest line center in a periodic family with pitch=spacing.\"\"\"\n", + " r = np.mod(u, spacing)\n", + " return np.minimum(r, spacing - r)\n", + "\n", + "def _rectilinear_mask(XX, YY, spacing, line_width, angle_deg=0.0, phase=0.0):\n", + " \"\"\"\n", + " Rectilinear (parallel lines) mask at angle_deg, with true line width.\n", + " Lines are centered where (x cos + y sin + phase) is a multiple of spacing.\n", + " \"\"\"\n", + " th = np.deg2rad(angle_deg)\n", + " # Coordinate along the line-normal direction (u-axis)\n", + " u = XX * np.cos(th) + YY * np.sin(th)\n", + " dist = _dist_mod(u + phase, spacing)\n", + " # Render a line of width 'line_width' around the center => half width threshold\n", + " return dist <= (line_width / 2.0)\n", + "\n", + "def _spacing_for_grid_density(line_width, f):\n", + " \"\"\"\n", + " For a two-axis grid (two orthogonal families of rectilinear lines with true width 'w'),\n", + " the area fraction is f = 2r - r^2 where r = w/s.\n", + " Solve for s: r = 1 - sqrt(1 - f) => s = w / r.\n", + " \"\"\"\n", + " f = float(np.clip(f, 0.0, 1.0))\n", + " if f <= 0.0:\n", + " return np.inf\n", + " if f >= 1.0:\n", + " return line_width # centers are one line_width apart for a \"solid\" raster\n", + " r = 1.0 - np.sqrt(1.0 - f)\n", + " return line_width / r\n", + "\n", + "# ------------------------------\n", + "# Area & inertia on a raster mask\n", + "# ------------------------------\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + "\n", + " if x_vals.size == 0:\n", + " return {\"A\": 0.0, \"x_c\": 0.0, \"y_c\": 0.0, \"I_x\": 0.0, \"I_y\": 0.0, \"I_xy\": 0.0, \"J\": 0.0}\n", + "\n", + " dx = XX[0, 1] - XX[0, 0]\n", + " dy = YY[1, 0] - YY[0, 0]\n", + " dA = dx * dy\n", + "\n", + " A = x_vals.size * dA\n", + " x_c = float(np.mean(x_vals))\n", + " y_c = float(np.mean(y_vals))\n", + "\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = float(np.sum(y_shift**2) * dA)\n", + " I_y = float(np.sum(x_shift**2) * dA)\n", + " I_xy = float(np.sum(x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return {\"A\": A, \"x_c\": x_c, \"y_c\": y_c, \"I_x\": I_x, \"I_y\": I_y, \"I_xy\": I_xy, \"J\": J}\n", + "\n", + "# ------------------------------\n", + "# Main: Prusa-style rectilinear/grid with shells\n", + "# ------------------------------\n", + "\n", + "def prusa_style_grid_or_rectilinear(\n", + " width, height,\n", + " infill_fraction,\n", + " line_width=0.42,\n", + " shell_layers=2,\n", + " base_infill_angle_deg=45.0,\n", + " grid=True, # True = \"Grid\" (two passes 90° apart in same layer). False = Rectilinear (one pass).\n", + " z_height=0.0, # used for optional phase shift if desired\n", + " phase_per_mm=0.0, # set >0 to phase-shift infill vs Z (like alternating)\n", + " N=800,\n", + " plot=True,\n", + " verbose=True\n", + "):\n", + " \"\"\"\n", + " width, height: mm, outer dimensions of a rectangle (centered at origin)\n", + " infill_fraction: 0..1\n", + " line_width: true extrusion width (mm)\n", + " shell_layers: number of perimeters (each line_width wide)\n", + " base_infill_angle_deg: angle of first rectilinear pass\n", + " grid: True => add a second pass at +90° (Prusa \"Grid\"); False => single rectilinear pass\n", + " z_height: current Z (mm)\n", + " phase_per_mm: optional phase (mm) added along 'u' per mm Z (0 disables shifting)\n", + " \"\"\"\n", + "\n", + " # Grid for rasterization\n", + " xs = np.linspace(-width/2, width/2, N)\n", + " ys = np.linspace(-height/2, height/2, N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " # ----- Shells as true lines (perimeter loops), centered inside by 0.5*w\n", + " shell_mask = np.zeros_like(XX, dtype=bool)\n", + " for i in range(shell_layers):\n", + " off = (i + 0.5) * line_width # center each perimeter inside the outline\n", + "\n", + " # vertical walls: x = -W/2+off, x = +W/2-off\n", + " shell_mask |= np.abs(XX - (-width/2 + off)) <= (line_width / 2)\n", + " shell_mask |= np.abs(XX - ( +width/2 - off)) <= (line_width / 2)\n", + "\n", + " # horizontal walls: y = -H/2+off, y = +H/2-off\n", + " shell_mask |= np.abs(YY - (-height/2 + off)) <= (line_width / 2)\n", + " shell_mask |= np.abs(YY - ( +height/2 - off)) <= (line_width / 2)\n", + "\n", + " # Inner rectangle where infill is allowed\n", + " inner_offset = shell_layers * line_width\n", + " inner_rect = (\n", + " (np.abs(XX) <= (width/2 - inner_offset)) &\n", + " (np.abs(YY) <= (height/2 - inner_offset))\n", + " )\n", + "\n", + " # ----- Infill\n", + " if infill_fraction <= 0.0:\n", + " infill_mask = np.zeros_like(XX, dtype=bool)\n", + " spacing = np.inf\n", + " elif infill_fraction >= 1.0:\n", + " # \"solid\" raster in both directions\n", + " spacing = line_width\n", + " masks = []\n", + " angles = [base_infill_angle_deg] + ([base_infill_angle_deg + 90.0] if grid else [])\n", + " phase = phase_per_mm * z_height\n", + " for a in angles:\n", + " masks.append(_rectilinear_mask(XX, YY, spacing, line_width, angle_deg=a, phase=phase))\n", + " infill_mask = np.logical_or.reduce(masks) & inner_rect\n", + " else:\n", + " spacing = _spacing_for_grid_density(line_width, infill_fraction) if grid \\\n", + " else line_width / infill_fraction # 1-axis rectilinear density\n", + " masks = []\n", + " angles = [base_infill_angle_deg] + ([base_infill_angle_deg + 90.0] if grid else [])\n", + " phase = phase_per_mm * z_height\n", + " for a in angles:\n", + " masks.append(_rectilinear_mask(XX, YY, spacing, line_width, angle_deg=a, phase=phase))\n", + " infill_mask = np.logical_or.reduce(masks) & inner_rect\n", + "\n", + " final_mask = shell_mask | infill_mask\n", + "\n", + " # ----- Plot\n", + " if plot:\n", + " plt.figure(figsize=(6, 6))\n", + " img = np.where(final_mask, 1.0, np.nan)\n", + " plt.imshow(img, origin='lower',\n", + " extent=[-width/2, width/2, -height/2, height/2],\n", + " interpolation='nearest')\n", + " title = \"Grid\" if grid else \"Rectilinear\"\n", + " plt.title(f\"{title} @ {infill_fraction*100:.1f}% | shells={shell_layers}×{line_width:.2f} angle={base_infill_angle_deg:.0f}°\")\n", + " plt.xlabel(\"X (mm)\")\n", + " plt.ylabel(\"Y (mm)\")\n", + " plt.gca().set_aspect('equal', 'box')\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " # ----- Numbers\n", + " if verbose:\n", + " total = compute_area_moments(XX, YY, final_mask)\n", + " shells = compute_area_moments(XX, YY, shell_mask)\n", + " A_infill = total[\"A\"] - shells[\"A\"]\n", + " print(f\"==== {('Grid' if grid else 'Rectilinear')} Infill {infill_fraction*100:.1f}% ====\")\n", + " print(f\"Total Area = {total['A']:.4f} mm²\")\n", + " print(f\"Shell Area = {shells['A']:.4f} mm²\")\n", + " print(f\"Infill Area = {A_infill:.4f} mm²\")\n", + " print(f\"I_x = {total['I_x']:.4f}\")\n", + " print(f\"I_y = {total['I_y']:.4f}\")\n", + " print(f\"I_xy = {total['I_xy']:.4f}\")\n", + " print(f\"Polar moment, J = {total['J']:.4f}\")\n", + " print()\n", + "\n", + " return final_mask # boolean raster of the slice\n", + "\n", + "# ------------------------------\n", + "# Demo\n", + "# ------------------------------\n", + "if __name__ == \"__main__\":\n", + " W = 10.0\n", + " H = 10.0\n", + " shells = 2\n", + " wline = 0.42\n", + "\n", + " # Try a few densities like a slicer preview\n", + " for f in [0.00, 0.15, 0.30, 0.60, 1.00]:\n", + " prusa_style_grid_or_rectilinear(\n", + " width=W, height=H,\n", + " infill_fraction=f,\n", + " line_width=wline,\n", + " shell_layers=shells,\n", + " base_infill_angle_deg=45.0, # typical default\n", + " grid=True, # True => \"Grid\", False => single rectilinear\n", + " z_height=0.0, # set >0 and phase_per_mm>0 to shift with Z\n", + " phase_per_mm=0.0,\n", + " N=800,\n", + " plot=True,\n", + " verbose=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "9514c26c-f86b-475a-98cb-68aa20f27ac5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Infill max area: 30.99 mm² at z = 0.00 mm\n", + "Infill min area: 30.99 mm² at z = 0.00 mm\n", + "Shell area (at min): 30.84 mm²\n", + "Infill area ratio: 0.00 %\n", + "Total area ratio: 0.00 %\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# --- Analysis block: Area & Moments vs Height for Prusa-style Grid ---\n", + "\n", + "from scipy.signal import argrelextrema\n", + "\n", + "# Parameters\n", + "width = 10.0\n", + "height = 10.0\n", + "infill_fraction = 0.44\n", + "shell_layers = 2\n", + "line_thickness = 0.42\n", + "base_infill_angle_deg = 45.0\n", + "use_grid = True # True => Grid (two passes 90° apart in same layer)\n", + "phase_per_mm = 0.0 # set >0 to shift infill vs Z; 0 keeps pattern fixed\n", + "N = 1000 # raster resolution (match function call)\n", + "\n", + "z_heights = np.linspace(0, 20, 100)\n", + "\n", + "# Utility: rebuild the *same* shell mask used by the generator\n", + "def build_shell_line_mask(XX, YY, width, height, line_width, shell_layers):\n", + " shell_mask = np.zeros_like(XX, dtype=bool)\n", + " for i in range(shell_layers):\n", + " off = (i + 0.5) * line_width # center each perimeter inside the outline\n", + "\n", + " # vertical walls: x = -W/2+off, x = +W/2-off\n", + " shell_mask |= np.abs(XX - (-width/2 + off)) <= (line_width / 2)\n", + " shell_mask |= np.abs(XX - ( +width/2 - off)) <= (line_width / 2)\n", + "\n", + " # horizontal walls: y = -H/2+off, y = +H/2-off\n", + " shell_mask |= np.abs(YY - (-height/2 + off)) <= (line_width / 2)\n", + " shell_mask |= np.abs(YY - ( +height/2 - off)) <= (line_width / 2)\n", + " return shell_mask\n", + "\n", + "areas = []\n", + "shell_areas = []\n", + "infill_areas = []\n", + "I_xs = []\n", + "I_ys = []\n", + "Js = []\n", + "\n", + "for z in z_heights:\n", + " # Generate the infill/shell mask for this Z (plot/verbose disabled)\n", + " mask = prusa_style_grid_or_rectilinear(\n", + " width=width, height=height,\n", + " infill_fraction=infill_fraction,\n", + " line_width=line_thickness,\n", + " shell_layers=shell_layers,\n", + " base_infill_angle_deg=base_infill_angle_deg,\n", + " grid=use_grid,\n", + " z_height=z,\n", + " phase_per_mm=phase_per_mm,\n", + " N=N,\n", + " plot=False,\n", + " verbose=False\n", + " )\n", + "\n", + " # Rebuild the *same* raster grid used inside the function (match mask shape)\n", + " Ny, Nx = mask.shape\n", + " xs = np.linspace(-width / 2, width / 2, Nx)\n", + " ys = np.linspace(-height / 2, height / 2, Ny)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " # Build the *same* shell-line mask for correct shell area\n", + " shell_mask = build_shell_line_mask(XX, YY, width, height, line_thickness, shell_layers)\n", + "\n", + " # Area/moments\n", + " mtot = compute_area_moments(XX, YY, mask)\n", + " mshell = compute_area_moments(XX, YY, shell_mask)\n", + "\n", + " A_total = mtot[\"A\"]\n", + " A_shell = mshell[\"A\"]\n", + " A_infill = A_total - A_shell\n", + "\n", + " areas.append(A_total)\n", + " shell_areas.append(A_shell)\n", + " infill_areas.append(A_infill)\n", + " I_xs.append(mtot[\"I_x\"])\n", + " I_ys.append(mtot[\"I_y\"])\n", + " Js.append(mtot[\"J\"])\n", + "\n", + "# Convert to NumPy for analysis\n", + "z_np = np.asarray(z_heights)\n", + "areas_np = np.asarray(areas)\n", + "\n", + "# Local maxima/minima (may be empty if phase_per_mm=0 gives flat lines)\n", + "max_indices = argrelextrema(areas_np, np.greater)[0]\n", + "min_indices = argrelextrema(areas_np, np.less)[0]\n", + "\n", + "# Global max/min\n", + "i_max = int(np.argmax(areas_np))\n", + "i_min = int(np.argmin(areas_np))\n", + "print(f\"Infill max area: {infill_areas[i_max]:.2f} mm² at z = {z_np[i_max]:.2f} mm\")\n", + "print(f\"Infill min area: {infill_areas[i_min]:.2f} mm² at z = {z_np[i_min]:.2f} mm\")\n", + "print(f\"Shell area (at min): {shell_areas[i_min]:.2f} mm²\")\n", + "\n", + "infill_peak_area_ratio = (infill_areas[i_max] / max(infill_areas[i_min], 1e-12) - 1) * 100\n", + "print(f\"Infill area ratio: {infill_peak_area_ratio:.2f} %\")\n", + "\n", + "total_peak_area_ratio = (areas_np[i_max] / max(areas_np[i_min], 1e-12) - 1) * 100\n", + "print(f\"Total area ratio: {total_peak_area_ratio:.2f} %\")\n", + "\n", + "# -------------------\n", + "# Plotting\n", + "# -------------------\n", + "fig, axs = plt.subplots(2, 1, figsize=(10, 8), sharex=True)\n", + "\n", + "# Area plot\n", + "axs[0].plot(z_np, areas_np, label=\"Total Area\", linewidth=2)\n", + "axs[0].plot(z_np, shell_areas, label=\"Shell Area\", linestyle='--')\n", + "axs[0].plot(z_np, infill_areas, label=\"Infill Area\", linestyle='-.')\n", + "\n", + "# Scatter markers (if any)\n", + "if max_indices.size:\n", + " axs[0].scatter(z_np[max_indices], areas_np[max_indices], color='red', label=\"Local Max\", zorder=5)\n", + "if min_indices.size:\n", + " axs[0].scatter(z_np[min_indices], areas_np[min_indices], color='blue', label=\"Local Min\", zorder=5)\n", + "\n", + "axs[0].set_ylabel(\"Area (mm²)\")\n", + "axs[0].legend()\n", + "title_name = \"Grid\" if use_grid else \"Rectilinear\"\n", + "axs[0].set_title(f\"Area vs Height for {infill_fraction*100:.1f}% {title_name} Infill\")\n", + "\n", + "# Moments plot\n", + "axs[1].plot(z_np, I_xs, label=\"I_x\", linewidth=2)\n", + "axs[1].plot(z_np, I_ys, label=\"I_y\", linestyle='--')\n", + "axs[1].plot(z_np, Js, label=\"Polar moment J\", linestyle='-.')\n", + "axs[1].set_xlabel(\"Z Height (mm)\")\n", + "axs[1].set_ylabel(\"Moment of Inertia\")\n", + "axs[1].legend()\n", + "axs[1].set_title(\"Moments of Inertia vs Height\")\n", + "\n", + "plt.tight_layout()\n", + "axs[1].tick_params(axis='x', labelrotation=0, labelsize=10)\n", + "axs[1].set_xticks(np.linspace(z_np.min(), z_np.max(), 11))\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.13.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/software/GYROID.ipynb b/software/GYROID.ipynb new file mode 100644 index 0000000..2d4b2ef --- /dev/null +++ b/software/GYROID.ipynb @@ -0,0 +1,500 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 34, + "id": "d5e79bb2-9fc5-4a71-82e2-14ce475e7a5d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "density=0.10 shell=2x0.42mm\n", + " A_shell = 30.78 mm^2\n", + " L_infill = 15.03 mm\n", + " A_infill = 6.31 mm^2\n", + " A_total = 37.09 mm^2\n" + ] + }, + { + "data": { + "image/png": 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tW7YMU6dOxahRozB+/Hir7//0314QBNy4cQM1a9YEAMtqa1dX15fKWdCsyZXfEXJCQ0MhCAKCg4NRsWLFl8rz6quv4tVXX8WsWbOwceNG9OrVC5s3b8ZHH30k+jGsfT126dIl380tT+rbt6/lCFOPP1xERETkeH+6f/8+7t69i4EDB4rO+yxyuRw1atRARERErutOnjyJkJAQ+9vhB/xaSYEbN24ctFotBgwYgIcPH+a6Pr8lrJo1a6JmzZr49ttvsXXrVvTo0UP099bat2+PBw8e5DjKi9FoxJIlS+Ds7IxmzZrleT+FQoG2bdtix44diI6Otky/cuUKfv/9d1HzLq5MJhOSk5NzTPP29oa/v3+eq5kea9++PYxGI7755pscj/X0dkVvb280b94cK1euzPNTeFxc3HMz/vTTTxgxYgR69eqFRYsWPff2efn++++RmppqubxlyxbExMRYPhDUrVsXoaGh+PLLL/Pc1CAmZ2GwJtfj76M+/dWeLl26QKFQYNq0ablel4IgID4+/rk5EhMTc933cSk963mSF2tfjy+yDbNatWqoXLkyVq1aBZPJZJn+zTffQCaToVu3bpZpycnJ+Pfff3O9DsTq1q0bwsPDc5Tm1atXsX//frz77rsv9JhS4xJmAatQoQI2btyInj17olKlSujVqxdq1aoFQRAQGRmJjRs3Qi6Xo2zZsrnu26dPH4wdOxYA8lwdm5+BAwdi5cqV6NevH06fPo2goCBs2bIFR48exeLFi5/5SW7atGnYu3cvXnvtNQwdOtRStNWqVSvRh/BLTU1F2bJl0a1bN9SqVQvOzs74888/ER4ejoULF+Z7v44dO6JJkyaYMGECbt++japVq2Lbtm15vuksW7YMTZs2RY0aNfDxxx8jJCQEDx8+xPHjx3H37l2cP38+3/mcOnUKffr0gaenJ1q2bIkNGzbkuL5x48bP3Nb6WKlSpdC0aVP0798fDx8+xOLFi1G+fHl8/PHHALKXFL799lu0a9cO1apVQ//+/VGmTBncu3cPBw4cgKurK3bt2vXc+RQ0a3I93tb3+eefo0ePHlAqlejYsSNCQ0Mxc+ZMTJw4Ebdv30bnzp3h4uKCyMhIbN++HQMHDrS8HvOzfv16LF++HO+88w5CQ0ORmpqK1atXw9XVFe3bt7fcrl+/fli/fr3lS//5seb1+CLbMIHs1dhvv/022rRpgx49euCff/7B0qVL8dFHH1n2ewCA7du3o3///li7dq3lO9IA8MMPPyAqKgo6nQ4AcOjQIcycORMA0Lt3b8saraFDh2L16tXo0KEDxo4dC6VSiUWLFsHHxweffPLJC2WXnDQ75xZ/N27cEIYMGSKUL19eUKvVgkajESpXriwMHjxYOHfuXJ73iYmJERQKhVCxYsU8r2/WrJlQrVq1PK97+PCh0L9/f6F06dKCo6OjUKNGjTwPw4Y8dgM/ePCgULduXcHR0VEICQkRVqxYIfpQXPl9rWTBggXPnbeUXyvJ6+sigYGBll3w9Xq98Omnnwq1atUSXFxcBCcnJ6FWrVrC8uXLn5s1Pj5e6N27t+Dq6iq4ubkJvXv3Fs6ePZvnofFu3rwp9OnTR/D19RWUSqVQpkwZ4a233hK2bNnyzN/r8e+f37/nHYLv8ddKNm3aJEycOFHw9vYWNBqN0KFDhxxfaXjs7NmzQpcuXQRPT09BpVIJgYGBQvfu3YW//vrLcpvHYx0XF5fr/mL/Dvk9fx7n/eWXX6zOJQiCMGPGDKFMmTKCXC7P9bzZunWr0LRpU8HJyUlwcnISKleuLISFhQlXr1613Ca/196ZM2eEnj17CgEBAYJKpRK8vb2Ft956S4iIiMhxu65duwoajUZITEzM9RhPe5nXo1jbt28XateuLahUKqFs2bLCF198IWRlZeW4zePn2NPPpWd9neXAgQM5bnvnzh2hW7dugqurq+Ds7Cy89dZbwvXr1wvs9yhqMkGwkb0wCI8ePYKfnx8mT56c756TRAXh77//RosWLfDLL7/kWA1HhcPHxwd9+vTBggULpI5CL4HbMG3IunXrYDKZCnxPRyKSzqVLl5CRkfFCO2WRbeE2TBuwf/9+XL58GbNmzULnzp0L7DiqRCS9atWqWQ5qQvaNhWkDpk+fjmPHjqFJkyZWHaWFiIiKjqSrZA8dOoSOHTvC398fMpkMO3bsyHG9IAiYPHky/Pz8oNFo0KpVqzy/o2Tv/v77b2RlZeHAgQOij+xC9DKaN28OQRC4/ZLICpIWZnp6OmrVqpXjuKpPmj9/Pr7++musWLECJ0+ehJOTE9q2bWs5tBIREVFRsZm9ZGUyGbZv347OnTsDyF669Pf3xyeffGL5LlRycjJ8fHywbt069OjRQ8K0RERU0tjsNszIyEg8ePAgx2Gv3Nzc0LBhQxw/fjzfwtTr9TmOsGE2m5GQkABPT898D5FFRETFkyAISE1Nhb+/f64TVFjLZgvz8Ylwnz5xqo+Pj+W6vMyZMwfTpk0r1GxERGRf7ty5k+cR1qxhs4X5oiZOnIgxY8ZYLicnJyMgIADXrl1DqVKlJExmPwwGAw4cOIAWLVrkOsUR5Y1jZj2OmfU4ZtZLSEhAxYoVC+Rg7zZbmL6+vgCAhw8fWk5J8/hyfqfzAbJPWJrXeehKlSoFT0/PAs9ZHBkMBmi1Wnh6evJFKRLHzHocM+txzF5cQWySs9kj/QQHB8PX1xd//fWXZVpKSgpOnjyJRo0aSZiMiIhKIkmXMNPS0nDjxg3L5cjISJw7dw6lSpVCQEAARo0ahZkzZ6JChQoIDg7GpEmT4O/vb9mTloiIqKhIWpgRERFo0aKF5fLjbY+PT3g6btw4pKenY+DAgUhKSkLTpk2xd+9eqNVqqSITEVEJJWlhPj7aSH5kMhmmT5+O6dOnF2EqIiKi3Gx2GyYREZEtYWESERGJwMIkIiISgYVJREQkAguTiIhIBBYmERGRCCxMIiIiEViYREREIrAwiYiIRGBhEhERicDCJCIiEoGFSUREJAILk4iISAQWJhERkQgsTCIiIhFYmERERCKwMImIiERgYRIREYnAwiQiIhKBhUlERCQCC5OIiEgEFiYREZEILEwiIiIRHKQOUNwJgoAMg0nqGFYxGIzQmwBdlhFKQSZ1HLvAMbMex8x69jpmGqUCMpn95M2PTBAEQeoQhSklJQVubm549OgRPD09i3TegiCg24rjOB2VWKTzJSKyJfUCPfDL4EaSlGZ8fDxKly6N5ORkuLq6vtRjcZVsIcowmFiWRFTiRUQl2t2atrxwlWwRifiiFbSOCqljiGIwGPD773+gbds2UCqVUsexCxwz63HMrGdvY6bLMqHezD+ljlFgWJhFROuogNbRPobbIBOgUgBaRwcolfaRWWocM+txzKzHMZMWV8kSERGJwMIkIiISgYVJREQkAguTiIhIBBYmERGRCCxMIiIiEViYREREIrAwiYiIRGBhEhERicDCJCIiEoGFSUREJAILk4iISAQWJhERkQgsTCIiIhFYmERERCKwMImIiERgYRIREYnAwiQiIhKBhUlERCQCC5OIiEgEFiYREZEILEwiIiIRWJhEREQisDCJiIhEYGESERGJwMIkIiISgYVJREQkAguTiIhIBBYmERGRCCxMIiIiEViYREREIrAwiYiIRGBhEhERicDCJCIiEoGFSUREJAILk4iISAQWJhERkQgsTCIiIhFsujBNJhMmTZqE4OBgaDQahIaGYsaMGRAEQepoRERUwjhIHeBZ5s2bh2+++Qbr169HtWrVEBERgf79+8PNzQ0jRoyQOh4REZUgNl2Yx44dQ6dOndChQwcAQFBQEDZt2oRTp05JnIyIiEoamy7Mxo0bY9WqVbh27RoqVqyI8+fP48iRI1i0aFG+99Hr9dDr9ZbLKSkpAACDwQCDwVDomZ9kMBif+NkAg8w+ViU/HqeiHi97xjGzHsfMevY2ZrbwHliQY2XThTlhwgSkpKSgcuXKUCgUMJlMmDVrFnr16pXvfebMmYNp06blmn7gwAFotdrCjJuL3gQ8HuLff/8DKkWRzv6l7du3T+oIdodjZj2OmfXsZcxs4T1Qp9MV2GPJBBveg2bz5s349NNPsWDBAlSrVg3nzp3DqFGjsGjRIvTt2zfP++S1hFmuXDnExMTA09OzqKIDAHRZRtSasR8AcH7SG9A62vTnEwuDwYB9+/ahdevWUCqVUsexCxwz63HMrGdvY2YL74Hx8fHw8/NDcnIyXF1dX+qxbPod/NNPP8WECRPQo0cPAECNGjUQFRWFOXPm5FuYKpUKKpUq13SlUlnkTzClIHtq/jY93LlIMWb2jmNmPY6Z9exlzGzhPbAgx8mmv1ai0+kgl+eMqFAoYDabJUpEREQllU0v8nTs2BGzZs1CQEAAqlWrhrNnz2LRokUYMGCA1NGIiKiEsenCXLJkCSZNmoShQ4ciNjYW/v7+GDRoECZPnix1NCIiKmFsujBdXFywePFiLF68WOooRERUwtn0NkwiIiJbwcIkIiISgYVJREQkAguTiIhIBBYmERGRCCxMIiIiEViYREREIrAwiYiIRGBhEhERicDCJCIiEoGFSUREJAILk4iISAQWJhERkQgsTCIiIhFYmERERCKwMImIiERgYRIREYnAwiQiIhKBhUlERCQCC5OIiEgEFiYREZEILEwiIiIRWJhEREQiOEgdgIiIXp5gMsGcng5zaipMaWnZ/6emwpyWBnNaGqBQQK7RQKZWQ67RQq5R5/5Zq4XM0REymUzqX8cmsTCJiGycYDQi684d6K5dh8eBv/Hw6FEY796DOTUFptTscjSnpxfMzGQyKDw84BgQAMfAACgDA+EYEAjHwEA4BgZA4epaMPOxQyxMIiIbYdbrkRUZCf3Nm8i6eQv6W7eQdfMGsm5HQTAYAABeAFKf8RgyR0fIXVygcHaG3MUFchdnKJydIZgFCBk6mDMyYc7IgJCRAXNGBsyZmRAyMiyPD0GAKSEBGQkJyDh3LtfjW8o0KBDKgACogoOhqVsXSh+fAh8PW8PCJCKSiFmvR8bp00g7chTpR49Cf+0aIAh53lamVsMxOAhxajWCmjaFJjQUCnd3yJ1doHD5Xzk6O0Pu6PhCWQSDAWa9HmadDqb4eGRFRSHrdhSyoqOzf46OginuEUyJichITETG+fM57u8YFATtqw3h1LAhtA0awMHT84Vy2DIWJhFREREEAVk3biDt6FGkHzkKXXg4BL0+x23krq5QhYbCMTQEqpBQqMqHwjEkFEp/PxhNJlzcvRuvtG8PpVJZoNlkSiUUSiUUzs5QentDXaVKrtuY0tJhuPO/Ao3K/l9/9Soyr1xB1u3byLp9G0mbfwIAqCpWhGO9+ng1RomLnqEFmlUqLEwiokJkTEyE7vhxy1Kk8eHDHNc7eHvDqUkTODVtAm29+nDw9sp/pxuTqQgS50/h7ARFlSq5ytSUkgJdRAR0J08i/cRJ6K9ehf7aNeivXcMUAOE+lQF0liJygWJhEhEVMHN6OpL/+18kb92GjAsXcqxmlalU0Navn12STRpDVaGC3e+VqnB1hcsbb8DljTcAAMaEBOhOhSP52HFc3n0A50uXRzeJMxYEFiYRUQHJvHoNST9tRvKvO3PstaqqWPH/lyLr1oVcrZYwZeFzKFUKrm+2hcMbLTEoqz5kghkzpA5VAFiYREQvwazXI/X335G4+SdknDljme4YGAj3Hj3g2r49lD7eEiaUniArHsfIYWESEb2ArKgoJP70M5K3bYMpKSl7ooMDXFq2hEeP96Bt2BAyefEoCsrGwiQiEkkwGpF64ACSNm1G+rFjlukOfn7w6P4u3Lp2hdK7ZC9NFmcsTCIiEdIOH8bDefOQdeNm9gSZDE6vvwaP93rAudnrkCkU0gakQsfCJCJ6hsyr1xA7fz7Sjx4FACjc3OD+3ntw7/4uHMuWlTgdFSUWJhFRHoyPHiHu6yVI2rIFMJsBpRKlevdG6cGDSvTxVEsyFiYR0RPMmZlIWP894leuhFmnAwC4tG0L70/GwDEgQOJ0JCUWJhERAMFsRsp/dyP2q0Uw3o8BAKhr1IDPhPHQ1q0rcTqyBSxMIirxdGfO4OHceci8cAFA9l6v3mNGw7VDB341hCxYmERUYpmSk/Fgxkyk/PYbAECu1cJz4ECU6te32B+Nh6zHwiSiEkl35izujf0ke/WrXA73rl3hNWI4HLy8pI5GNoqFSUQlimAyIX71asQtWQqYTFAGBKDMlwugqVlT6mhk41iYRFRiGB7G4v64cdCdPAkAcH3rLfhOnQKFs7PEycgesDCJqERI/ftvxEz8DKbERMi0WvhOmgS3zp3s/tRaVHRYmERUrJmzshC3cCES1n8PAFBVrYIyXy6EKiRY4mRkb1iYRFRs6SMjce+TT6C/fAUA4NGnN7zHjoXc0VHiZGSPWJhEVCwl7diBB9NnQNDpoHB3h9+c2XBp0ULqWGTHWJhEVKyYMzIQM2UKUnbuAgBoGzSA/4L5UPr4SJyM7B0Lk4iKDWNCAu4MGYLM8xcAhQJew4fB8+OPeeotKhAsTCIqFrKioxH98ccwREVD4eaGssuWQluvntSxqBjhQRILmZs+DXVir0kdg6hYy7h4Ebd79IQhKhrKMmUQuGkTy5IKHJcwC5E5MxNTTqxFxcRopP7iA22v96WORFTspP79N+6NHgMhIwOqqlUQsHIlD29HhYJLmIVIplDgjos3FBCQMGMGYhcugmA2Sx2LqNhI/OUX3A0bBiEjA05NmyLw+x9YllRoWJiFSKZU4qs63fF95bYAgPjVq3F/7KcwZ2VJnIzIvgmCgLglS/Fg0mTAZILbO++g3DfLoXB2kjoaFWMszMImk2FT5dbwnDETcHBAyu7duDPgQ5iSkqRORmSXBIMBMV98gUfLlgEASg8dAr/ZsyBTKiVORsUdC7OIOHfqhIDVqyB3doYuIgK33++FrLt3pY5FZFfM6em4MzQMyVu3AXI5fKdOhdeIETweLBUJFmYRcmrUCIEbNsDB1xdZt27h9ns9kPnvv1LHIrILxkePENWnL9IPH4ZMrUbZpUvh0eM9qWNRCcLCLGLqShUR9NNmqCpXhik+HtF9+yHj0iWpYxHZtKzbt3G7R09kXroEhYcHAtevg8sbPMwdFS0WpgSUPj4I/H491LVqwpScjOj+A5Bx8aLUsYhskv7GDdzu3RuGu3ehDAhA0KaN0NSqJXUsKoFYmBJRuLoi4LvvoHnlFZhTUhDdfwB0Z89KHYvIpmReu4aovv1ginsEVaVKCNq0EY5BQVLHohKKhSkhhbMzAlavgrZePZjT0nDnw4+gi4iQOhaRTci8ehXRffvBFB+ffUCCdWvh4OkpdSwqwViYEpM7OaHcqpXQvvoqzDodoj8eiPSTp6SORSSpzMuXEd2nL0yJiVBXr47AtWvh4OEhdSwq4ViYNkCu1aLcim/g1KQJhIwM3Bk0COnHjkkdi0gSGf9cQlT/ATAlJ0NdsyYC1nwHhZub1LGIWJi2Qq5Wo+zyZXBu1gxCZibuDB6CtMOHpY5FVKQyLlxAdP/+MCcnQ1O7NgK++xYKV1epYxEBYGHaFLlKhTJLvoZzy5YQsrJwd2gYUvcfkDoWUZHQnT2L6AEfwpyaCk3duij37bdQuLhIHYvIwuYL8969e/jggw/g6ekJjUaDGjVqIKIY7xgjd3RE2cVfwaVNGwgGA+6OGIGUffukjkVUqHSnT+POhx/BnJYGbf36CFi1kseFJZtj04WZmJiIJk2aQKlUYs+ePbh8+TIWLlwIj2K+8V+mVKLMooVwbd8eMBpxb9RopOzZI3UsokKRERGB6I8HwqzTQfvqqyi3cgXkTixLsj02fT7MefPmoVy5cli7dq1lWnBwsISJio7MwQH+8+cBDgqk7NyFe5+MhWA0wa3jW1JHIyowmps3cX/qVAgZmXBq3Bhlly2FXKOROhZRnmy6MHfu3Im2bdvi3XffxcGDB1GmTBkMHToUH3/8cb730ev10Ov1lsspKSkAAIPBAIPBUOiZn2QwGJ/42QCDTLD6MbymT4cgVyB1xw7cHz8exiw9XN9+uyBj5vJ4nIp6vOwZx8x6KUeOoMzadRAMBmibNIHP4q9gcnCAiWOYL3t7nhXEe+DLZyi4sZIJglD0v4FIarUaADBmzBi8++67CA8Px8iRI7FixQr07ds3z/tMnToV06ZNyzV948aN0Gq1hZr3aXoTMO5U9meS+Q2MUCle8IHMZnhv3wH3U6cgyGR42LUrUurXK7igREVMe/Uq/L//AXKjEWmVKyPmg14QeHquYqfA3gNfgk6nw/vvv4/k5GS4vuQe1zZdmI6OjqhXrx6OPfGdxBEjRiA8PBzHjx/P8z55LWGWK1cOMTEx8Czio4TosoyoNWM/AOD8pDegdXzxBXrBbEbc7NlI+elnAIDXlMlw69atQHI+zWAwYN++fWjdujWUfBMThWMmXvrBg4gZPQYwGJBWtQqqrlkDR26zFMXenmcF+R74ouLj4+Hn51cghWnTq2T9/PxQtWrVHNOqVKmCrVu35nsflUoFlUqVa7pSqSzyJ5hS+P9z9GXP/+WG23/qVCiUjkj88UfETZsOhUwGjx49XjZmvqQYM3vHMXu2lH37EDPmE8BggFPrVrjWvDlqOzlxzKxkL8+zgn4PfKEMBThONr2XbJMmTXD16tUc065du4bAwECJEklLJpPB5/PPUOp/q6MfTJ2GhB83SJyKSJyUvXtx739Llq7t28F33jzAwaY/sxPlYNOFOXr0aJw4cQKzZ8/GjRs3sHHjRqxatQphYWFSR5OMTCaD94TxKPXhAADAw5kzEb9unbShiJ4j+bf/4t4nYwGjEa5vd4T//PmQ2cESEtGTbLow69evj+3bt2PTpk2oXr06ZsyYgcWLF6NXr15SR5OUTCaD99ix8Bw4EAAQO3ce4r9bI3Eqorwl7diB++PGASYT3N55B/5z5kDGJUuyQzb/rH3rrbfw1lv87uHTZDIZvEaPgszBAY+WL0fsggUQTCaUHpj/V26IilrS1q2I+WISIAhwf/dd+E6bCpncpj+nE+WLz1w7JpPJ4DViOEoPHwYAiFu0CHHLl0uciihb4uafEPP5F4AgwOP9nixLsns2v4RJz+cVFgaZwgFxixfj0ddLAKMJpYcPg0wme/6diQpBwo8b8HDmTACAR5/e8Jk4kc9HsnsszGKi9OBBkCkdELvgSzxavhyC0Zi9ypZvUlTE4tetQ+zceQCAUh8OgPfYsXweUrHA9SPFiOeHH8J7wngAQPyqVYj54gsIdnIILSoeHq1ebSlLz0GDWJZUrLAwixnPfv3gO20aIJcjees23BkaBnN6utSxqJgTzGbEfvkl4hYuAgCUHjYMXqNGsiypWGFhFkMe73VH2aVLIVOrkX74MKL69IXx0SOpY1ExZdbrcX/sWMR/+x0AwGv0aHgNC2NZUrHDwiymXN5ogcD166Dw8EDmpUu43aMn9JGRUseiYsaUlIToAR8iZfcewMEBfnPnoPSggVLHIioULMxiTFOrFoI2bYQyIACGu3cR1fN96M6elToWFRNZd+7gds/3kXH6NOTOzghYvQrunTtLHYuo0Fi9l6xer8fJkycRFRUFnU4HLy8v1KlTp8Sc2NneOAYFIWjTRtwZPASZFy8iul9/lFm0EC4tW0odjexYxsWLuDN4CEzx8XDw80O5lSugrlhR6lhEhUp0YR49ehT/+c9/sGvXLhgMBri5uUGj0SAhIQF6vR4hISEYOHAgBg8eDBcXl8LMTFZy8PRE4Pp1uDt6NNIPHsLd4SPgO+kLePTsKXU0skOp+/fj3phPIGRmQlWlCsqtWAGlj7fUsYgKnahVsm+//Tbee+89BAUF4Y8//kBqairi4+Nx9+5d6HQ6XL9+HV988QX++usvVKxYEfv27Svs3GQluVaLcsuWwf3dboDZjAfTpiN20Vew4dOhkg1K2LABd4cNh5CZCafXXkPgDz+wLKnEELWE2aFDB2zdujXf84qFhIQgJCQEffv2xeXLlxETE1OgIalgyBwc4Dt9Ohx8ffFoyVLEr1oF48MH8JsxAzJHR6njkQ0TzGbELvgSCWvXAgDc3+0G38mTecYRKlFEFeagQYNEP2DVqlVznfSZbIdMJoNXWBiUvr6ImTwFyb/uhDEuDmUWLYLC3V3qeGSDzHo97o+fgNS9ewEAXqNGwXPQQH5thEqcl9pLNi0tDSkpKTn+kX1w79oV5b5ZDplWi/Rjx3HrnS7QnT4tdSyyMcbERET3H5Bdlkol/BfMzz4MI8uSSiCrCzMyMhIdOnSAk5MT3Nzc4OHhAQ8PD7i7u8PDw6MwMlIhcX79dQT9+AOUgQEwxsQgqncfxC1bBsFkkjoa2YD0EycR2fkdZJw5A7mLCwJWr4Zbx45SxyKSjNVfK/nggw8gCALWrFkDHx8fftK0c+qqVRG8dRseTJ+GlJ278GjJUqQdPwGH1q2ljkYSEbKyELdkSfaRewQBjoGBKLt0CVQVKkgdjUhSVhfm+fPncfr0aVSqVKkw8pAEFM5OKDN/PpybNEHMtOnIjIhA4OXLSPfzhXubNlLHoyKkvxWJ+59+isxLlwAA7u++C5+JEyDXaiVORiQ9q1fJ1q9fH3fu3CmMLCQxt06dELJtK1RVqkCh0yFmxEg8mDkLZr1e6mhUyARBQOLPPyOya1dkXroEhZsbyiz5Gn4zprMsif7H6iXMb7/9FoMHD8a9e/dQvXr1XF81qVmzZoGFo6LnGBSEsj/+gIiRo+Bx5AgSf/wRutOnUWbhQqhCeDSn4siYmIgHkycjdd+fAABto1fhP3culD4+Eicjsi1WF2ZcXBxu3ryJ/v37W6bJZDIIggCZTAYTdxixezJHR8R1fAtVe/ZE7BdfQH/lCiK7doXvF1/Arcs73G5djKQfO4b7EybCGBsLKJXwHj0apfr1hUzOw0wTPc3qwhwwYADq1KmDTZs2caefYs7p9dcQvGMH7o8fD92JE4j5/HOkHzsG3ymToXB1lToevQRzVhbiFv8HCWvWAAAcQ0JQ5ssFUPM71ET5srowo6KisHPnTpQvX74w8pCNUfp4I+C7bxG/+lvELVmClP/+F+nHj8NrxHC4d+sGmYPVTyGSmP7mTdz79FPoL18BALj37AGfceMg12gkTkZk26xe7/LGG2/g/PnzhZGFbJRMoUDpwYMQ+OMPcAwOhikhAQ+mTsOtzp2RdugQj0drJ4wJCXgwcxZudX4H+stXoPDwQNnly+A3ZQrLkkgEqxcPOnbsiNGjR+PixYuoUaNGrp1+3n777QILR7ZFW6cOQnb+isSff8ajJUuRdeMm7gwcBKcmTeA9bhzUlXh6J1tk1umQsH494r/9Dub0dACAc7Nm8J0xHUpvHjidSCyrC3Pw4MEAgOnTp+e6jjv9FH8ypRKlevWCW8eOeLRiJRJ/+AHpR48i8p134N61K7xGDIeDl5fUMQmAYDQiaes2PFq6FMa4OADZB6rw/nQsnBo1kjgdkf2xepWs2WzO9x/LsuRQuLrCZ9ynCNn9X7i8+SZgNiPpl19ws+2beLRiJcyZmVJHLLEEQUDKvn241fFtPJgyBca4OCjLloX/l18iaMsvLEuiF8R9x+mlOJYrh7KLv0Lgxg1Q16wJs06HuMWLcbNdeyTv2gXBbJY6YomiO3MGUe/3wr3hI5AVGQmFhwd8PvsMIbv/C7e3OvDrIkQv4YV2cQwPD8eBAwcQGxsL81NviIsWLSqQYGRftK+8gqDNm5Cyew9iFy2E8X4M7n86DvHffgeP99+H21sdIHdykjpmsaW/eROxi75C2l9/AQBkajVK9esLz48+gsLZWeJ0RMWD1YU5e/ZsfPHFF6hUqVKu72HyO5klm0wuh9tbHeDSqiUS1n+P+JUrob96FQ+mTEHs/Plw6/Q23N/rwZ2DCoiQlYXU/QeQtGUL0o8eBQQBUCjg3rUrSoeFQenDHXqICpLVhfmf//wHa9asQb9+/QohDhUHcrUapQcNhMd73ZG0fQeSNm9GVlQUEjduQuLGTdC88go8erwHl7ZtIVeppI5rd/TXryNpy1Yk79wJU2KiZbpzq5bwHjMGqpAQCdMRFV9WF6ZcLkeTJk0KIwsVMwp3d3j274dS/fpCd+IEEjf/hNS//kLGmTPIOHMGitlz4NalCzze6w7HwECp49o0U1o6UvfuQdIvW5DxxPegHby94fbOO3Dv2gWOAQESJiQq/qwuzNGjR2PZsmVYvHhxIcSh4kgmk8GpUSM4NWoEQ2wskrduReLPv8AYE4OENWuQsGYNnBo3hnv37nBq2hQKZ27rBLL3ds04dw5JW7YgZc9eCDpd9hUODnBu3gzuXbvC+bXXeLQloiJi9Stt7Nix6NChA0JDQ1G1atVcBy7Ytm1bgYWj4kfp7Y3SQ4bAc+BApB06hMTNm5F+6DDSjx1D+rFjgFIJbe3acGrSBE5Nm0JdtUqJ2rPTnJmJjHPnkH7iBFL//BNZN25arnMMCoJ7t65w69SJ33UlkoDVhTlixAgcOHAALVq0gKenJ3f0oRciUyjg0qIFXFq0QNbde0j6+Wek7NkDw5070IWHQxcejrjFi6Hw8IBT48bZBdqkSbHbkUXIykLGxYtIP3kSuhMnkXHuHISsLMv1MrUarm++CfduXaGpW5evNyIJWV2Y69evx9atW9GhQ4fCyEMlkGPZMvAeMxreY0YjKzoa6UePIu3IUehOnIApMREp//0vUv77XwCAqkKF/1/6rFYVDh4eEqe3jmAyIfPyZaSfOAHdyVPQnT4NISMjx20cvL2hbdgQTo0awaV1KyhcXCRKS0RPsrowS5UqhdDQ0MLIQgTHgAA4BgTAo2dPCAYDMs6fR9rRo0g/chSZ//wD/fXr0F+/joR16wAACk9PqEJC4BgaAlVIKFTlQ+EYGgoHb29Jl8aErCxk3b2LrKgoZEVFwRAdjazbUci4eBHm1NQct1V4eGQXZMMG0DZ8FY7BQVySJLJBVhfm1KlTMWXKFKxduxZarbYwMhEByD5urbZePWjr1QNGjoQxMRG648eRdvQodCdOwnDvHkzx8dDFx0MXHp7jvnJnZziGhEAVEgJV+VA4+PlB4eICubMLFC7OkP/vZ7mT1qpyEsxmCHo9zJmZEHQ6mNLTYbh3D5m3IuF95DDu7fgVxuhoGGJigHyOciR3doa2QQM4vdoQ2oYNoapQoURtpyWyV1YX5tdff42bN2/Cx8cHQUFBuXb6OXPmTIGFI3qSg4cHXNu3h2v79gAAc3o69LcikXXrJvQ3b0F/6yaybtxE1p07MKelIfPCBWReuPDsB5XLIXd2hsL5fyXq4gy5Sg2zPhNCRibMmZkwZ+gsPz+9+vRJ7gCevFam1cIxMDB7qTkwEI6BgVBVrAB1lSrcs5XIDln9qu3cuXMhxCCyntzJCZoa1aGpUT3HdHNWFgxRUdklevMGsm7egjEuDqa0NJjT0mBOTYUpLQ0wGgGzGeaUFJhTUqyev0ylglythoO/PxzKlkW00YAqLd6AJiQYjoGBUJQuzVWrRMWI1YU5ZcqUwshBVGDkjo5QVagAVYUKANrmeRtBECBkZsKUmvr/JZqaBnNaKsyZmZCr1ZBrNJCpNZBr/vezRgO5RgO5Wg2ZWg2ZQmF5PIPBgLO7d8O1fftca12IqHgQVZiCIPCTMhUrMpnMUoDgSZSJSARRexpUq1YNmzdvRtYT3w/Ly/Xr1zFkyBDMnTu3QMIRERHZClFLmEuWLMH48eMxdOhQtG7dGvXq1YO/vz/UajUSExNx+fJlHDlyBJcuXcKwYcMwZMiQws5NRERUpEQVZsuWLREREYEjR47gp59+woYNGxAVFYWMjAyULl0aderUQZ8+fdCrVy942NkXyYmIiMSwaqefpk2bomnTpoWVhYiIyGbx29JEREQisDCJiIhEYGESERGJILow79+/X5g5iIiIbJrowqxWrRo2btxYmFmIiIhslujCnDVrFgYNGoR3330XCQkJhZmJiIjI5oguzKFDh+LChQuIj49H1apVsWvXrsLMRUREZFOs+h5mcHAw9u/fj6VLl6JLly6oUqUKHJ46TRFP70VERMWR1WcriYqKwrZt2+Dh4YFOnTrlKkwiIqLiyKq2W716NT755BO0atUKly5dgpeXV2HlIiIisimiC/PNN9/EqVOnsHTpUvTp06cwMxEREdkc0YVpMplw4cIFlC1btjDzEBER2STRhblv377CzEFERGTTeGg8IiIiEViYREREIrAwiYiIRGBhEhERicDCJCIiEoGFSUREJAILk4iISAQWJhERkQh2VZhz586FTCbDqFGjpI5CREQljN0UZnh4OFauXImaNWtKHYWIiEoguyjMtLQ09OrVC6tXr4aHh4fUcYiIqASyi5NZhoWFoUOHDmjVqhVmzpz5zNvq9Xro9XrL5ZSUFACAwWCAwWAo1JxPMxiMT/xsgEEmFOn8X9TjcSrq8bJnHDPrccysZ29jZgvvgQU5VjZfmJs3b8aZM2cQHh4u6vZz5szBtGnTck0/cOAAtFptQcd7Jr0JeDzEv//+B1SKIp39S+MB963HMbMex8x69jJmtvAeqNPpCuyxbLow79y5g5EjR2Lfvn1Qq9Wi7jNx4kSMGTPGcjklJQXlypVDixYt4OnpWVhR86TLMmLcqf0AgLZt20DraNPDbWEwGLBv3z60bt0aSqVS6jh2gWNmPY6Z9extzGzhPTA+Pr7AHsum38FPnz6N2NhYvPLKK5ZpJpMJhw4dwtKlS6HX66FQ5PzIolKpoFKpcj2WUqks8ieYUpA9NX+bHu5cpBgze8cxsx7HzHr2Mma28B5YkONk0+/gLVu2xMWLF3NM69+/PypXrozx48fnKksiIqLCYtOF6eLigurVq+eY5uTkBE9Pz1zTiYiICpNdfK2EiIhIaja9hJmXv//+W+oIRERUAnEJk4iISAQWJhERkQgsTCIiIhFYmERERCKwMImIiERgYRIREYnAwiQiIhKBhUlERCQCC5OIiEgEFiYREZEILEwiIiIRWJhEREQisDCJiIhEYGESERGJwMIkIiISgYVJREQkAguTiIhIBBYmERGRCCxMIiIiEViYREREIrAwiYiIRGBhEhERicDCJCIiEoGFSUREJAILk4iISAQWJhERkQgsTCIiIhFYmERERCKwMImIiERgYRIREYnAwiQiIhKBhUlERCQCC5OIiEgEFiYREZEILEwiIiIRWJhEREQisDCJiIhEYGESERGJwMIkIiISgYVJREQkAguTiIhIBBYmERGRCCxMIiIiEViYREREIrAwiYiIRGBhEhERicDCJCIiEoGFSUREJAILk4iISAQWJhERkQgsTCIiIhEcpA5ARETPZzQbcSf1Dq4brmPz1c2Iy4yDzqhDhjEDmcbM7P9Nmcgw/O9/Y4blukxTJhzljnB2dIaz0hkuji5wVjrD2fGpn5UucHZ0RmlNaYS4hcDXyRdyGZerHmNhEhHZCKPZiJi0GESnRiMqJQrRqdGITolGdGo07qXeg1EwZt/wtPWPnWnKRGZGJh5lPBJ9H42DBkGuQQh1D0WIWwhC3EIQ7B6Mci7loJQrrQ9h51iYREQSSctKw+mHp3HywUmEPwjHjaQbMJqN+d5epVDBTXBDNf9qKOtaFs5KZ6gd1FAr1NA4aKBx0EDtoLb8r1aooXXQQuWggt6kR1pWGtIMaUjNSv3//5+alpaVhgfpDxCVGoUMYwauJFzBlYQrOXI4yB0Q6BKIEPcQhLqHooFvA9T2qg2loniXKAuTiKiIZBgzcDb2LE7FnMKpB6dwOf4yTIIpx21UChXKuZRDgEsAAlz/988lAIGugfBQemDvnr1o/3p7KJWFW04GswF3U+/iVvIt3Eq6lf1/8i1EJkciw5iBm8k3cTP5JvZF7cOK8yugcdCggW8DNPJvhCb+TRDoGlio+aTAwiQiKiRZpiycjzuP8AfhOBlzEhceXci1BFnOpRwa+DZAQ7+GqOVV65nbDQ0GQ1HEBgAo5UoEuwUj2C0YLQNaWqabBTMepj/EzeSbuJV0C5cTLuP4/eNIyEzAwbsHcfDuQQBAGecyqO/zKhxcNDCmhxZZ7sLEwiQiKkCCIOB83Hlsv7EdeyP3QmfU5bjeR+uDhn4N0cC3ARr4NoCfs59ESV+MXCaHn7Mf/Jz90LRMUwDZJXot8RqO3juK4/eP40zsGdxLu4d7aVuhKQsY0yoC6Cxp7oLAwiQiKgAJmQnYdXMXtl3fhlvJtyzTS6lLoaFvQ9T3q4+Gvg1RzqUcZDKZhEkLnlwmR+VSlVG5VGV8WOND6Aw6RDyMwME7R7Dp4p8wpleQOmKBYGESEb0gk9mE4zHHse36Nhy4c8CyulWtUKNNUBt0qdAFr3i/UuwK8nm0Si1eL/s66nk3xne/1gJgljpSgWBhEhFZ6V7aPey4sQM7buzAg/QHlunVPKuhS4UuaBfcDi6OLhImtDXF47ucLEwiIpGO3T+Gdf+sw4mYExAgAABcHV3RMbQj3in/DiqVqiRxQipMLEwioue4HH8ZX53+CidiTlimver3KrpU6II3At6ASqGSMB0VFRYmEVE+7qbexZKzS7A7cjeA7C/s96jUA72q9EJZl7ISp6OixsIkInpKYmYiVl1Yhc1XN1t25Gkf3B7D6wxnUZZgLEwiov/JMGbgx8s/Ys0/a5BmSAOQvep1dN3RqOpZVeJ0JDUWJhGVeEazEb/e+BXLzy1HbEYsAKBKqSoYVXcUGvs3ljgd2QqbLsw5c+Zg27Zt+Pfff6HRaNC4cWPMmzcPlSpxTzQiKhiH7x7GlxFfWg42UMa5DIbVGYb2we15aivKwaYL8+DBgwgLC0P9+vVhNBrx2WefoU2bNrh8+TKcnJykjkdEdizDmIEF4Qvwy7VfAADuKncMrDkQ71V6D44KR4nTkS2y6cLcu3dvjsvr1q2Dt7c3Tp8+jddff12iVERk767EX8G4Q+NwO+U2AKB31d4YUmsIDzZAz2TThfm05ORkAECpUqXyvY1er4der7dcTklJAZB9lP+iPNJ/9jyNT/xsgEEmFOn8X9TjcSrq8bJnHDPrSTFmZsGMH//9EUvPL4XRbISXxgvTG01HQ9+GRZ7lRdjb88wW3gMLcqxkgiDYxbu42WzG22+/jaSkJBw5ciTf202dOhXTpk3LNX3jxo3QarWFGTEXvQkYdyr7M8n8BkaoFEU6eyJ6Qoo5BVt0W3DLmL2tsqqyKjprOkMrL9r3hZLEFt4DdTod3n//fSQnJ8PV1fWlHstuCnPIkCHYs2cPjhw5grJl8/8eVF5LmOXKlUNMTAw8PT2LIqqFLsuIWjP2AwDOT3oDWkf7WKA3GAzYt28fWrduXegnqS0uOGbWK8ox239nP2acnIHkrGSoFWp8WvdTdA7tbHcHRbe355ktvAfGx8fDz8+vQArTLt7Bhw0bht9++w2HDh16ZlkCgEqlgkqV+zBVSqWyyJ9gSuH/X4zZ87eL4baQYszsHcfMeoU5ZjqDDvPD52Pr9a0AgKqeVTHvtXkIcgsqlPkVFXt5ntnCe2BBjpNNv4MLgoDhw4dj+/bt+PvvvxEcHCx1JCKyE5ceXcL4w+MRlRIFGWQYUH0AwmqHQamw/aIh22TThRkWFoaNGzfi119/hYuLCx48yD6NjpubGzQajcTpiMgWmQUz1vyzBsvOLoNRMMJb6405TeeggV8DqaORnbPpwvzmm28AAM2bN88xfe3atejXr1/RByIim6Y36fHZ4c/wR9QfAIDWga0xpdEUuKncJE5GxYFNF6ad7I9ERDYgKTMJIw6MwNnYs3CQO+CLhl+gS4UudrdjD9kumy5MIiIx7qTcwdC/huJ2ym24KF2wuMViroKlAsfCJCK7djHuIobtH4aEzAT4OflhecvlKO9RXupYVAyxMInIbu2P3o/xh8Yj05SJKqWqYFnLZfDSekkdi4opFmYhqya7jdaKCEBoI3UUomJl45WNmHtqLgQIaFqmKRY2WwitkkftocLDwixM+hSsdZwPb1kSjLscgM7LAAeeBYHoZZgFMxZFLML6y+sBAN0qdsPnDT+Hg5xvZ1S4eLK3wqRyxQJjdxgFORz++RnY+C6QmSJ1KiK7lWnMxNiDYy1lOfKVkZj86mSWJRUJFmYh+8XUHB8aPoWgdAJu/Q2sbQ+kxEgdi8juJGYm4uM/Psa+qH1QypWY+9pcfFTjI35thIoMC7MIHDTXQuYHOwEnb+DhReC71kDcValjEdmNOyl30HtPb5yLOwcXRxesbL0SHUI6SB2LShgWZhER/GoDH+0DPMsDyXeA79oAUceljkVk8yKTI9F3b19EpUTB38kfP7b7EfV960sdi0ogFmZR8ggCBvwBlG0AZCYB33cCrv0udSoim3Uz6Sb67+2PuIw4lHcvjw0dNiDEPUTqWFRCsTCLmpMn0OdXoFIHwKQHNvcCru6ROhWRzbmacBUDfh+A+Mx4VC5VGWvarkFpTWmpY1EJxsKUgqMW6L4eqPYOYDYAP/UGruySOhWRzbgSfwUf/fEREjITUNWzKr5t8y081B5Sx6ISjoUpFYUS6PItUL1bdmn+0g+4tEPqVESSu/ToEj7840Mk6ZNQs3RNrG6zmmcbIZvAwpSSwgHosgqo2QMwG4EtA4CLW6RORSSZ83Hn8dEfHyE1KxW1vWpjZeuVcHV0lToWEQAWpvTkCqDzcqB2L0AwAds+Bi78LHUqoiJ35uEZDNo3CGmGNNT1qYsVrVfA2dFZ6lhEFixMWyBXAG8vBV7pAwhmYNtA4NxGqVMRFZnwB+EY/OdgpBvS0dC3IZa3XA4npZPUsYhyYGHaCrkceOs/QN3+AARgx1DgzPdSpyIqdCcfnMTQP4ciw5iBxv6NsaTlEh5EnWwSC9OWyOXAW18B9T8GIAA7hwMRa6VORVRorhuuY9TBUcg0ZeK1Mq/h6ze+hsZBI3UsojyxMG2NTAa0XwA0HJJ9+bdRwKnVkkYiKgyH7x3Gj+k/Qm/So3m55ljcYjFUCpXUsYjyxcK0RTIZ8OYcoNGw7Mu7xwInvpE2E1EB2h+9H58c/gQmmPBGuTewqNkiOCp46juybSxMWyWTAW1mAk1GZV/eOwE4tkTSSEQF4c+oP/HJ35/AaDaiurI65jSZA6VCKXUsoufiSeRsmUwGtJoKyB2Aw18Cf3wBmAzAa2OkTkb0Qn6//TvGHxoPk2BCu8B2eDXpVSjlLEuyD1zCtHUyGfDGF0DzidmX/5oGHJwvbSaiF7D71m5LWXYM6YjpjaZDIVNIHYtINBamPZDJgOYTgDcmZV8+MAvYPwsQBGlzEYm06+YuTDwyESbBhM7lO2NGkxlQyFmWZF9YmPbk9bFA6+nZPx+an720ydIkG7fjxg58fuRzmAUzulboimmNp7EsyS6xMO1Nk5FA2znZPx/5Knu7JkuTbNTWa1sx+ehkCBDwXqX3MLnRZMhlfNsh+8SdfuxRo6HZZzvZPRY4vjR7R6B287JX3RLZiJ+v/owZJ2YAAN6v/D4mNJgAGZ+jZMf4Uc9eNfgY6PgfADLg1Ergv2MAs1nqVEQAgI1XNlrK8oMqH7AsqVjgEqY9q9sPkCuBX8OAiDXZS5odv84+xB6RRH64/APmh2fvyd2/Wn+MrjuaZUnFAgvT3tXplf09zR2DgbM/ZJ9Xs9Oy7DOgEBWx9ZfW48uILwEAH9X4CCPqjGBZUrHBwiwOar2XfTLqrR8D5zdll2bnFdnTiIqAIAhYem4pVl1YBQAYVHMQwmqHsSypWOE7anFRvWv2kuaWAcDFXwCjHuiyGlCqpU5GxZzBbMDUY1Ox8+ZOAMCw2sMwqNYgiVMRFTxu7CpOqnYCun+fvV3zyk7gh86ALkHqVFSMpRvSMeyvYdh5cycUMgWmNprKsqRii4VZ3FTuAHywFVC5AtHHge/aAAmRUqeiYihOF4f+e/vj2P1j0Dho8PUbX6Nrxa5SxyIqNCzM4iikGTDgd8C1LBB/HfiuNXDvtNSpqBi5lXwLH+z+AFcSrqCUuhTWtF2D18u+LnUsokLFbZiF6MkD8OiyTEU7c4+KkPXdC9XPPSF/eBHCureQ1WkVTBXbPfeuBoMRehOgyzJCKXCnDTFK0pidjzuHsYdGISUrGWWdy+E/zZehrEs56LKMVj1OSRqzgmJvY1bk73uFTCYIxfu4aikpKXBzc8OjR4/g6elZpPN+lKZHvZl/Fuk8n+aEDCxTfo3mivMwCTJMNfbFD6Y2kmYi++Xg8g/U/pshkxthyiiHjDt9IZicpY5FduDy9LbQOhb9Mlp8fDxKly6N5ORkuLq6vtRjcZVsMZcODT4yfIJNxhZQyAR86vATvJAkdSyyRzIDVN6/QSY3wphaBbqoj1mWJEq9QA9olPb/3XCuki1Enk6OiPiiFQBAo1RIe6hXoT2yji+Go98rOBjc7Jk3NRgM+P33P9C2bRsolTy5rxglZcxuJVfBrps7EFZ7JBzkL/f2UVLGrCDZ65hlv//Z/irk52FhFiKZTIbSziqpY/y/5p+KuplBJkClALSODlAq+RQRo6SMWXWvSqjuNb5AHqukjFlB4phJi6tkiYiIRGBhEhERicDCJCIiEoGFSUREJAILk4iISAQWJhERkQgsTCIiIhFYmERERCKwMImIiERgYRIREYnAwiQiIhKBhUlERCQCC5OIiEgEFiYREZEILEwiIiIRWJhEREQisDCJiIhEYGESERGJwMIkIiISgYVJREQkAguTiIhIBBYmERGRCCxMIiIiEViYREREIrAwiYiIRGBhEhERiWAXhbls2TIEBQVBrVajYcOGOHXqlNSRiIiohLH5wvzpp58wZswYTJkyBWfOnEGtWrXQtm1bxMbGSh2NiIhKEJsvzEWLFuHjjz9G//79UbVqVaxYsQJarRZr1qyROhoREZUgDlIHeJasrCycPn0aEydOtEyTy+Vo1aoVjh8/nud99Ho99Hq95XJycjIAICEhoXDDFiMGgwE6nQ7x8fFQKpVSx7ELHDPrccysxzGz3uP3fkEQXvqxbLowHz16BJPJBB8fnxzTfXx88O+//+Z5nzlz5mDatGm5plesWLFQMhIRke2Lj4+Hm5vbSz2GTRfmi5g4cSLGjBljuZyUlITAwEBER0e/9GCVFCkpKShXrhzu3LkDV1dXqePYBY6Z9Thm1uOYWS85ORkBAQEoVarUSz+WTRdm6dKloVAo8PDhwxzTHz58CF9f3zzvo1KpoFKpck13c3PjE8xKrq6uHDMrccysxzGzHsfMenL5y++yY9M7/Tg6OqJu3br466+/LNPMZjP++usvNGrUSMJkRERU0tj0EiYAjBkzBn379kW9evXQoEEDLF68GOnp6ejfv7/U0YiIqASx+cJ87733EBcXh8mTJ+PBgweoXbs29u7dm2tHoPyoVCpMmTIlz9W0lDeOmfU4ZtbjmFmPY2a9ghwzmVAQ+9oSEREVcza9DZOIiMhWsDCJiIhEYGESERGJwMIkIiISoVgXJk8LZp05c+agfv36cHFxgbe3Nzp37oyrV69KHctuzJ07FzKZDKNGjZI6ik27d+8ePvjgA3h6ekKj0aBGjRqIiIiQOpbNMplMmDRpEoKDg6HRaBAaGooZM2YUyLFRi5NDhw6hY8eO8Pf3h0wmw44dO3JcLwgCJk+eDD8/P2g0GrRq1QrXr1+3ah7FtjB5WjDrHTx4EGFhYThx4gT27dsHg8GANm3aID09XepoNi88PBwrV65EzZo1pY5i0xITE9GkSRMolUrs2bMHly9fxsKFC+Hh4SF1NJs1b948fPPNN1i6dCmuXLmCefPmYf78+ViyZInU0WxKeno6atWqhWXLluV5/fz58/H1119jxYoVOHnyJJycnNC2bVtkZmaKn4lQTDVo0EAICwuzXDaZTIK/v78wZ84cCVPZl9jYWAGAcPDgQamj2LTU1FShQoUKwr59+4RmzZoJI0eOlDqSzRo/frzQtGlTqWPYlQ4dOggDBgzIMa1Lly5Cr169JEpk+wAI27dvt1w2m82Cr6+vsGDBAsu0pKQkQaVSCZs2bRL9uMVyCfPxacFatWplmfa804JRbo9PjVYQBy0uzsLCwtChQ4cczzfK286dO1GvXj28++678Pb2Rp06dbB69WqpY9m0xo0b46+//sK1a9cAAOfPn8eRI0fQrl07iZPZj8jISDx48CDHa9TNzQ0NGza0qhNs/kg/L+JFTgtGOZnNZowaNQpNmjRB9erVpY5jszZv3owzZ84gPDxc6ih24datW/jmm28wZswYfPbZZwgPD8eIESPg6OiIvn37Sh3PJk2YMAEpKSmoXLkyFAoFTCYTZs2ahV69ekkdzW48ePAAAPLshMfXiVEsC5NeXlhYGP755x8cOXJE6ig2686dOxg5ciT27dsHtVotdRy7YDabUa9ePcyePRsAUKdOHfzzzz9YsWIFCzMfP//8MzZs2ICNGzeiWrVqOHfuHEaNGgV/f3+OWRErlqtkX+S0YPT/hg0bht9++w0HDhxA2bJlpY5js06fPo3Y2Fi88sorcHBwgIODAw4ePIivv/4aDg4OMJlMUke0OX5+fqhatWqOaVWqVEF0dLREiWzfp59+igkTJqBHjx6oUaMGevfujdGjR2POnDlSR7Mbj9/3X7YTimVh8rRgL0YQBAwbNgzbt2/H/v37ERwcLHUkm9ayZUtcvHgR586ds/yrV68eevXqhXPnzkGhUEgd0eY0adIk11eVrl27hsDAQIkS2T6dTpfrXI4KhQJms1miRPYnODgYvr6+OTohJSUFJ0+etKoTiu0qWZ4WzHphYWHYuHEjfv31V7i4uFjW7bu5uUGj0Uiczva4uLjk2r7r5OQET09PbvfNx+jRo9G4cWPMnj0b3bt3x6lTp7Bq1SqsWrVK6mg2q2PHjpg1axYCAgJQrVo1nD17FosWLcKAAQOkjmZT0tLScOPGDcvlyMhInDt3DqVKlUJAQABGjRqFmTNnokKFCggODsakSZPg7++Pzp07i59JAe7Ja3OWLFkiBAQECI6OjkKDBg2EEydOSB3JpgHI89/atWuljmY3+LWS59u1a5dQvXp1QaVSCZUrVxZWrVoldSSblpKSIowcOVIICAgQ1Gq1EBISInz++eeCXq+XOppNOXDgQJ7vX3379hUEIfurJZMmTRJ8fHwElUoltGzZUrh69apV8+DpvYiIiEQoltswiYiIChoLk4iISAQWJhERkQgsTCIiIhFYmERERCKwMImIiERgYRIREYnAwiQiIhKBhUlkx65evQpfX1+kpqYW+bz37t2L2rVr85imVGKwMIkkZDKZ0LhxY3Tp0iXH9OTkZJQrVw6ff/75M+8/ceJEDB8+HC4uLoUZM09vvvkmlEolNmzYUOTzJpICD41HJLFr166hdu3aWL16teWkwH369MH58+cRHh4OR0fHPO8XHR2N8uXLIzIyEmXKlCnKyBbLli3DunXreAJtKhG4hEkksYoVK2Lu3LkYPnw4YmJi8Ouvv2Lz5s34/vvv8y1LIPvEwrVq1cpRluvWrYO7uzt+++03VKpUCVqtFt26dYNOp8P69esRFBQEDw8PjBgxIsf5OoOCgjBz5kz06dMHzs7OCAwMxM6dOxEXF4dOnTrB2dkZNWvWRERERI4MHTt2REREBG7evFnwA0NkY1iYRDZg+PDhqFWrFnr37o2BAwdi8uTJqFWr1jPvc/jwYdSrVy/XdJ1Oh6+//hqbN2/G3r178ffff+Odd97B7t27sXv3bvzwww9YuXIltmzZkuN+X331FZo0aYKzZ8+iQ4cO6N27N/r06YMPPvgAZ86cQWhoKPr06YMnV0oFBATAx8cHhw8fLpiBILJlBXuCFSJ6UVeuXBEACDVq1BAMBsNzb1+rVi1h+vTpOaatXbtWACDcuHHDMm3QoEGCVqsVUlNTLdPatm0rDBo0yHI5MDBQ+OCDDyyXY2JiBADCpEmTLNOOHz8uABBiYmJyzLNOnTrC1KlTxf+iRHaKS5hENmLNmjXQarWIjIzE3bt3n3v7jIwMqNXqXNO1Wi1CQ0Mtl318fBAUFARnZ+cc02JjY3Pcr2bNmjmuB4AaNWrkmvb0/TQaDXQ63XPzEtk7FiaRDTh27Bi++uor/Pbbb2jQoAE+/PDDHKs+81K6dGkkJibmmq5UKnNclslkeU57+usgT95GJpPlO+3p+yUkJMDLy+uZWYmKAxYmkcR0Oh369euHIUOGoEWLFvjuu+9w6tQprFix4pn3q1OnDi5fvlxEKfOWmZmJmzdvok6dOpLmICoKLEwiiU2cOBGCIGDu3LkAsvdY/fLLLzFu3Djcvn073/u1bdsWx48fz7G3a1E7ceIEVCoVGjVqJFkGoqLCwiSS0MGDB7Fs2TKsXbsWWq3WMn3QoEFo3LjxM1fNtmvXDg4ODvjzzz+LKm4umzZtQq9evXJkJyqueOACIju2bNky7Ny5E7///nuRz/vRo0eoVKkSIiIiEBwcXOTzJypqDlIHIKIXN2jQICQlJSE1NbXID493+/ZtLF++nGVJJQaXMImIiETgNkwiIiIRWJhEREQisDCJiIhEYGESERGJwMIkIiISgYVJREQkAguTiIhIBBYmERGRCCxMIiIiEf4PAKUvhepuMdgAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "density=0.15 shell=2x0.42mm\n", + " A_shell = 30.78 mm^2\n", + " L_infill = 31.51 mm\n", + " A_infill = 13.23 mm^2\n", + " A_total = 44.01 mm^2\n" + ] + }, + { + "data": { + "image/png": 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oCmFhYVSoUOGx8jRs2JCGDRsyZcoUFi5cSP/+/Vm8eDEvvPCC2evI7+uxe/fu9z3d8l+DBg3KGWEq+8PFgQMHcr0/3bx5k+vXrzNs2DCz8z4KRVG4fPlyng6OtkLOYVrYG2+8gZubG0OHDuXOnTt5fn+/I6waNWpQo0YNvv/++5wL0M29bq1Dhw7cvn071ygvWVlZTJs2DQ8PD5o3b37Pxzk4ONCuXTv++OMPrl69mrP89OnTZl2QbM8MBgMJCQm5lvn7+1OyZMl7Nmdl69ChA1lZWbkuADcYDHnOK/r7+9OiRQtmzZrFrVu38qwnKirqoRl//fVXxowZQ//+/fnyyy8fev97+emnn0hKSsr5eenSpdy6dSvnA0HdunUJDw/n//7v/+55qsGcnAUhP7myr0e9+9Ke7t274+DgwOTJk/O8LhVFISYm5qE54uLi8jw2uyg96HlyL/l9PT7KOcyqVatSqVIlZs+ejcFgyFk+Y8YMNBoNPXv2zFmWkJDAmTNn8rwOzHWv58aMGTOIioqiffv2j7ROtckRpoWVL1+ehQsX0rdvXypWrJgz0o+iKERERLBw4UK0Wi2lSpXK89iBAwfyv//9D+CezbH3M2zYMGbNmsXgwYM5ePAgoaGhLF26lJ07dzJ16tQ850H/a/Lkyaxbt45mzZoxcuTInEJbtWrVIj2EX1JSEqVKlaJnz57UrFkTDw8PNm7cyP79+/niiy/u+7jOnTvTpEkTJkyYwOXLl6lSpQrLli2755vO9OnTadq0KdWrV+fFF1+kbNmy3Llzh927d3P9+nWOHj163+3s27ePgQMH4ufnR6tWrViwYEGu3zdu3PiB51qz+fr60rRpU4YMGcKdO3eYOnUq5cqV48UXXwRAq9Xy/fff8/TTT1O1alWGDBlCcHAwN27cYMuWLXh5ebFq1aqHbsfS8pMr+1zf22+/TZ8+fdDpdHTu3Jnw8HA+/PBD3nzzTS5fvky3bt3w9PQkIiKC5cuXM2zYsJzX4/38+OOPfPfddzzzzDOEh4eTlJTEnDlz8PLyokOHDjn3Gzx4MD/++GPORf/3k5/X46OcwwRTM3aXLl1o27Ytffr04cSJE3z77be88MILOf0eAJYvX86QIUOYN29ezjXSAD///DNXrlwhNTUVgO3bt/Phhx8C8Nxzz+W0aIWEhNC7d2+qV6+Oi4sLO3bsYPHixdSqVYvhw4c/UnbVqdI3twi4cOGC8tJLLynlypVTXFxcFFdXV6VSpUrKiBEjlCNHjtzzMbdu3VIcHByUChUq3PP3zZs3V6pWrXrP3925c0cZMmSIUrx4ccXJyUmpXr16rksYsnGPbuDbtm1T6tatqzg5OSlly5ZVZs6cec/LAO7lfpeVfP755w/dtpqXldzrcpGQkJCcLvgZGRnK66+/rtSsWVPx9PRU3N3dlZo1ayrffffdQ7PGxMQozz33nOLl5aV4e3srzz33nHL48OE8l5UoiqJcvHhRGThwoBIYGKjodDolODhY6dSpk7J06dIH/l3Zf//9vu71v/+v7MtKFi1apLz55puKv7+/4urqqnTs2DHXJQ3ZDh8+rHTv3l3x8/NTnJ2dlZCQEKVXr17Kpk2bcu6Tva+joqLyPN7c/8P9nj/ZeZcsWZLvXIqiKB988IESHBysaLXaPM+b33//XWnatKni7u6uuLu7K5UqVVJGjRqlnD17Nuc+93vtHTp0SOnbt69SpkwZxdnZWfH391c6deqkHDhwINf9evToobi6uipxcXF51nG3x3k9mmv58uVKrVq1FGdnZ6VUqVLKO++8o2RmZua6T/Zz7O7n0oMuZ9myZUvO/V544QWlSpUqiqenp6LT6ZRy5cop48ePz3W5kK3RKIqV9MIQREdHExQUxLvvvnvfnpNCWMLWrVtp2bIlS5YsydUMJwpGQEAAAwcO5PPPP1c7ingMcg7TisyfPx+DwWDxno5CCPWcPHmStLS0R+qUJayLnMO0Aps3b+bUqVNMmTKFbt26WWwcVSGE+qpWrZozqImwbVIwrcD777/Prl27aNKkSb5GaRFCCFF4VG2S3b59O507d6ZkyZJoNBr++OOPXL9XFIV3332XoKAgXF1dad269T2vUbJ1W7duJTMzky1btpg9sosQj6NFixYoiiLnL4XIB1ULZkpKCjVr1sw1rup/ffbZZ3zzzTfMnDmTvXv34u7uTrt27UhPTy/kpEIIIYo6q+klq9FoWL58Od26dQNMR5clS5bktddey7kWKiEhgYCAAObPn0+fPn1UTCuEEKKosdpzmBEREdy+fTvXsFfe3t488cQT7N69+74FMyMjI9cIG0ajkdjYWPz8/O47RJYQQgj7pCgKSUlJlCxZMs8EFflltQUzeyLcuycaDQgIyPndvXz88cdMnjy5QLMJIYSwLdeuXbvnCGv5YbUF81G9+eabjBs3LufnhIQEypQpw7lz5/D19VUxme3Q6/Vs2bKFli1b5pniSNyb7LP8k32Wf7LP8i82NpYKFSo8cIhQc1ltwQwMDATgzp07OVPSZP98v+l8wDQx6r3mofP19cXPz8/iOe2RXq/Hzc0NPz8/eVGaSfZZ/sk+yz/ZZ4/OEqfkrHakn7CwMAIDA9m0aVPOssTERPbu3UujRo1UTCaEEKIoUvUIMzk5mQsXLuT8HBERwZEjR/D19aVMmTK88sorfPjhh5QvX56wsDAmTpxIyZIlc3rSCiGEEIVF1YJ54MABWrZsmfNz9rnH7AlP33jjDVJSUhg2bBjx8fE0bdqUdevW4eLiolZkIYQQRZSqBTN7tJH70Wg0vP/++7z//vuFmEoIIYTIy2rPYQohhBDWRAqmEEIIYQYpmEIIIYQZpGAKIYQQZpCCKYQQQphBCqYQQghhBimYQgghhBmkYAohhBBmkIIphBBCmEEKphBCCGEGKZhCCCGEGaRgCiGEEGaQgimEEEKYQQqmEEIIYQYpmEIIIYQZpGAKIYQQZpCCKYQQQphBCqYQQghhBimYQgghhBmkYAohhBBmkIIphBBCmEEKphBCCGEGKZhCCCGEGRzVDmDvFEUhTW9QO0a+6PVZZBggNTMLnaJRO4710KdBVga4Fsv7KzvYZ4qicD35GqU9yxTK9uxhnxU2W91nrjoHNBrbyXs/GkVRFLVDFKTExES8vb2Jjo7Gz8+vULetKAo9Z+7m4JW4Qt2usLwRDit5xfF35hg68kVWL7XjWJiCg8cZnEtsQOsYT/LFN8DoonYoYUfqhfiwZEQjVYpmTEwMxYsXJyEhAS8vr8dalzTJFqA0vUGKpZ2IUorhotHzpPaY2lEsSMHB/Rxuod/hVvpHHFxugiYLB5cbagcTdubAlTiba2m7F2mSLSQH3mmNm5OD2jHMotfrWb/+L9q1a4tOp1M7jlXQJNWAaTOpoY3g1IR64Ja7tcKW9lmWMYsdN7az4MxPHIs+CoCLgwvPVujDgMoDKebsUyg5bGmfWQtb22epmQbqfbhR7RgWIwWzkLg5OeDmZBu7W69RcHYANydHdDrbyFzg/EpD8Ypoos/iFnUcyrfO9Wtb2GcxaTEsO7+M3879xu2U2wA4OzjTq2IvhlYbSnHX4oWaxxb2mbWRfaYu2eNCmKtYaYg+C8m31U5iNkVROB59nEVnFrH+8nr0Rj0APs4+9KjQg76V+uLv5q9ySiFsgxRMIczlEWj6nnRL3RxmSM9KZ93ldSw6s4hTMadyllcvXp2+lfrSNrQtzg7OKiYUwvZIwRTCXJ4Bpu9Jd9TN8QA3km/w69lfWXZ+GQkZCQA4aZ1oH9aevpX6Uq14NZUTCmG7pGAKYa7sI0wra5I1Kkb23NzDojOL2HZ9GwqmK8WC3IPoXbE33ct3x8elcDryCGHPpGAKYS7P7CZZ6zjCTMpMYsWFFfx69lcuJ17OWd4oqBF9KvWheanmOGhto2e2ELZACqYQ5vK0jiPM83HnWXxmMasurSItKw0Ad507XcO70rtSb8p6l1U1nxD2SgqmEOby+Kc3qUpHmAfvHGTO8TnsvLEzZ1m4dzh9K/WlU3gn3HXuquQSoqiQgimEueIum767F971ioqi8PeNv/n++PccjjwMgFaj5anST9Gvcj/qBdSzizE6hbAFUjCFMFfE36bvoc0KfFNZxiz+uvwXP5z4gXNx5wDQaXV0K9eNIVWHUNqrdIFnEELkJgVTCHNdzi6YTQtsE5mGTFZcXMG8E/O4lnQNADdHN3pV7MVzVZ6TQQaEUJEUTCHMcXELXD9gul0ABTNFn8KSs0v46dRPRKVFAVDMuRj9K/enb6W+eDt7W3ybQoj8kYIpxMPcOAS/DgDFANV6gm+YxVYdnx7PgjMLWHh6IYmZiQD4u/kzuOpgepTvgZvOzWLbEkI8HimYQjxIzEVY8CxkJkNYc+j2nUVWezvlNj+e/JHfz/+ec2lIiFcIz1d7nk5lO6FzsP6ZKIQoaqRgCnE/t46ajixToyGoJvRZAI6PN/5qcmYy/3fg/1hxcQVZxiwAKvtW5vnqz9O6TGsZaEAIKyYFU4i7XdkFf38BF/6Zx8+3LPT/HZw9H2u1GYYMxm4Zy77b+wCoG1CXF6u/SOOSjeXSECFsgBRMIQAUBc7/BX9/Cdf2mJZptFCtB7SeDB4lHmv1BqOBCdsnsO/2Ptx17nzd8mueCHrCAsGFEIVFCqYo2gxZcOoP2PEV3DlhWubgBLX6Q5MxpqPLx6QoClP2TmHj1Y3otDoplkLYKCmYomjKyoAjC2Hn1xAXYVrm5AH1hkKjUf+OG2sBP5z4gSXnlqBBwyfNPpFiKYSNkoIpipaMJDgwD3ZP/3cQdVdfaPgSNHgRXC07DZaiKPx86mcAxjcYT9vQthZdvxCi8EjBFEVDaizsnQl7Z0F6vGmZVzA0fhnqDASnghm4/GL8RWLTY3FxcOHZCs8WyDaEEIVDCqawbwk3YPe3cHA+6FNNy/zKQZNXoEZvcHQq0M1n94it5V8LJ4eC3ZYQomBJwRT2R1Hg+n7YNxtO/gFGvWl5YA1oNg4qd4FCut7xwB3TcHoNAhsUyvaEEAVHCqawH/o0OL7UVChvH/t3eUgTU6EMbwWFfL1jUmYSAAHuAYW6XSGE5UnBFLYvNgIO/ACHfv73/KSji2nc1wYvQMnaqkUr4Wq6fjM6LVq1DEIIy5CCKWyT0QgXN5uOJs//BSim5cXKQP0XoPZz4OarakSA4m6myaajUqNUTiKEeFxSMIVtSYuHIwtg//cQe+nf5eGtTJeFlG9baOcnzSFHmELYDymYwjbcPgH758Cx3/7t7ersDbX7Q73noXg5dfPdR3bBzJ7jUghhu6RgCutl0MPpVbBvDlzd9e9y/6qmc5PVe4Gzh3r5zFDc1dQkK0eYoqhyVNROYDlSMIX1SY01nZs8MO/f0Xg0DlC5MzQYBiGNC72366Mq4fbPEaacwxRFTEp8Bgc2XGFEogs7XfRqx7EIKZjCeqTFw57vYPd38M/lGLj7Q70hUHcweJVUM90jyW6STc1KJTY9Fl8X9TsiCVGQUhMzObT+Cie238CgN+KKhnC99fQreBxSMIX60hNNw9bt+hYyEkzLAqpD01dMgwwU8Gg8BclN50Z5n/KcjzvP3lt7eTrsabUjCVEg0pIzObz+Kse3XidLbwTAP8yLmZFRXHI08r7K+SxBCqZQT0ayqel11zeQFmdaVqIytHwTKnUGrVbdfBbSpGQTzsedZ+eNnVIwhd1JT9FzZMNVjm25jj7DAIB/qBdPdAnDL9yL19/7S+WEliMFUxS+zFTTQAM7pkLqP51h/MpDiwlQtbvdFMpsjUo2Yv7J+ey+uRtFUdDYyPlXIR4kI1XP0U3XOLrpGpnppkJZoownDTqHEVLND41GQ2pmlsopLUsKpig8+nQ4OA/+/hJSIk3LfMJMhbL6s1Z1/aQl1Q2oi4uDC5FpkVyIv0B5n/JqRxLikWWmZ3Fs83WObLxKRqqpIPoFe9CgcxhhNYvb9QdCKZii4GVlwKGf4O8vIOmWaVmxMtB8PNToAw72/TR0dnCmbmBddt7Yya6bu6RgCpukzzBwfOt1Dv91lfQUU69XnyB3GnQKI7x2CTRa+y2U2ez7nUqoy6A3jcqz/f8g4ZppmVcpePJ/UKu/TXfmya/GQY1zCuagqoPUjiOE2bIyDZzYfoND66+QlmQqlMUC3KjfKZRydQPQFoFCmU0KpigYFzfD6lch7rLpZ49AU6GsMxAcnVWNpoYmwU34/MDnHLxzkPSsdFwcXdSOJMRDXTgYyd+/nSM1IRMAr+Iu1O8URoX6AWgd7KuvgTmkYArLSk+Av94xNcECuJeApuNM11LqXNXNpqKy3mUJcAvgTuodDt45SJPgJmpHEuK+UhMz2b7oLBcPmwbc8PR1oV7HUCo2DMShCBbKbFb9lxsMBiZOnEhYWBiurq6Eh4fzwQcfoCh2NNaSPTm3HqY3/LdYNhgGY45Ao5FFulgCaDQaGpdsDMCum7secm8h1KEoCmf33mbh5D1cPByFRquhXodQ+k9uSJUmJYt0sQQrP8L89NNPmTFjBj/++CNVq1blwIEDDBkyBG9vb8aMGaN2PJEtNRbWvQnHFpt+9i0LXb6FUDmK+q/GwY1ZfmG5FExhlZLjMti26CyXj5ku9Spe2oOnnqtMiTKeKiezHlZdMHft2kXXrl3p2LEjAKGhoSxatIh9+/apnEzkOL0KVo/75zIRDTQaBS3fBic3tZNZnUZBjdCg4UL8Be6k3CHAPUDtSEKgKApndt9ix5ILZKZloXXQUL9jKLXbhRT5I8q7WXXBbNy4MbNnz+bcuXNUqFCBo0ePsmPHDr788sv7PiYjI4OMjIycnxMTEwHQ6/Xo9YU7ALBen/Wf23r0GttoSs7eTw/cXynROKwfj/b0CgAUv/IYOk9DCa6XvZKCjmlVzNlnblo3qvpV5UTMCf6+9jddw7sWVjyrZNbzTORi6X2WHJvO9kXnuX4mHoASZTxo3r8CviXdMRoNGI2Gx1q/NbwHWvL5ZdUFc8KECSQmJlKpUiUcHBwwGAxMmTKF/v373/cxH3/8MZMnT86zfMuWLbi5Fe5Rj2mUKNMuXr/+L5xt7Lr8DRs25F2oKATH76X69Z/RZSVhRMuFgI6cDeyK8WgkHF1T+EGtyD332X8UTzNN97Xs0DJ0Z3WFEcnqPWyfibwed58pCqRc05FwxhnFoAGtgnf5TJxCk9hz5BYcsUxOa3gPTE1Ntdi6NIoV96BZvHgxr7/+Op9//jlVq1blyJEjvPLKK3z55ZcMGnTva9nudYRZunRpbt26hZ+fX2FFByA1M4uaH2wG4OjEp3BzsurPJzn0ej0bNmygTZs26HT/eVNPvoPD2tfRnjMVRcW/ClmdvoGgWuoEtSL33Wd3ORJ1hKEbhuLt5M3G7htxsNPRjcxh7j4T/7LEPkuMTmf7wnPcPG+a6CAgzIvm/ctTLMDyBxTW8B4YExNDUFAQCQkJeHl5Pda6rPod/PXXX2fChAn06dMHgOrVq3PlyhU+/vjj+xZMZ2dnnJ3zXuen0+kK/UWpU/69oNe0fave3Xnk2me3jsLCPpB0E7SO8OTraJqOQ1eEBh8wx8OeZ7UCa+Gh8yAhM4EzCWeo5V+r8MJZKTVem7buUffZjbNxrJ11nIzULBx1Whp2C6d6y1IFNviANbwHWvK5ZdXv4KmpqWjvGojbwcEBo9GoUqIi6uxaWPo86FOgeAXoOQ8Cq6mdyibptDpalm7JqkurWHVxlRRMUWhO77rF1gVnMBoU/EO9aPt8FbxLSOe8/LDqLlCdO3dmypQp/Pnnn1y+fJnly5fz5Zdf8swzz6gdrWhQFNNkzov6moplWHN4foMUy8fUpVwXANZeXkuGIeMh9xbi8ShGhT1/XGTzT6cxGhTC6/jzzLjaUiwfgVUfYU6bNo2JEycycuRIIiMjKVmyJMOHD+fdd99VO5rd0ygGtOvHw8G5pgV1BkLHL8FBms4eV4PABgS6B3I75TZbrm2hfWh7tSMJO5WVaWDTj6e5cNA0O1Dd9iE80aVskRgovSBYdcH09PRk6tSpTJ06Ve0oRUtGEk9c/AqHpGOABtq8D41fBjuetqcwaTVaOpftzJzjc1hxYYUUTFEgUhMzWTPjGHciEtE6aGjRvxKVGwepHcumWXWTrFBB/FUcf+xAQNIxFEdX6P0zNBkjxdLCuoSbmmV33dxFVGqUymmEvYm5mczSTw5wJyIRZzdHuoypJcXSAqRgin9dPwhzWqGJOk26ozeG51ZC5c5qp7JLod6h1CxRE6Ni5M9Lf6odR9iRq6diWPbZQZJi0/Eu4UrP8fUIruijdiy7IAVTmJxbD/M7QEokin9VtlWchFKyttqp7FrXcqaRflZcXCETCgiLOLP7Fqu/PUZmuoGgct70GF+3QK6vLKqkYAq4vAN+fQ6y0qF8W7IGribdqXAHeSiK2oW2w0nrxIX4C5yKPaV2HGHjLh6OZPNPp1GMChWfCKTr2Nq4esh10pYkBbOou3XUdNmIIQMqdoA+i8BZZicoDF5OXjxV5ikAVlxYoXIaYcuun4nlrx9OoihQpUkQrQZXxkEnb++WJnu0KIu5CL/0gIxECGkKPeeCg1V3nLY72c2yayPWojfIIOQi/yKvJLJmxnGMWQpla5egef9KaKSTXoGQgllUJd6En7pBShQEVoe+C4v8JM9qaBTUiBKuJYjPiGf79e1qxxE2Ju52CqumHUWfYSC4og9th1YtsGHuhBTMoik1Fn7uDglXTZM9D1gGLt5qpyqSHLQOdArvBMAfF/9QN4ywKUmx6az8+gjpyXr8Qzzp8FJ1aYYtYLJ3i5rMFFjYC6JOg2cQPPcHePirnapIy54Xc8f1HcSkxaicRtiC9GQ9q745QnJcBsUC3Og0uiZOLnI6paBJwSxKsjJNvWGv7weXYqYjS58QtVMVeeHFwqnqV5UsJYs1EUV7PlHxcMYsWDvjBHG3U/HwcabL2Fq4ekpv2MIgBbMo+ettuLgJdG7QfwkEVFE7kfhHduefZeeXyTWZ4r4URSHumAtRV5NxcdfReUwtPH1d1I5VZEjBLCouboF9s023e86D0g3UzSNy6RDWATdHNy7EX2Drta1qxxFW6sKBKNLu6NBoNXQcXQPfIHe1IxUpUjCLgvQEWDHadLv+C1BRBvu2Nt7O3vSpZJooffax2XKUKfJIjstg55KLANR9ugyBYdJRr7BJwSwK1r8FidfBJwxaT1Y7jbiPgVUG4uLgwomYE+y+uVvtOMKKKIrCll/OkJmWhc7bQK02pdWOVCRJwbR3Z9fB4V8ADXSbAc4eaicS9+Hn6kfPCj0BmHVslspphDU5vfMWV0/G4OCowbdGOloHudZSDVIw7VlqLKwaY7rdaBSENFI3j3iowVUHo9PqOBR5iAO3D6gdR1iBxOg0diw5D0D9TqHoPIwqJyq6pGDaszX/g+Q7ULwiPDVR7TTCDAHuATxT7hlAjjIFKEaFzT+dRp9hmn2kWstgtSMVaVIw7dXJ5XDid9A4wDMzQCddz23F0OpDcdQ4sufWHo5GHVU7jlDRsa3XuXEuHkcnLa0GVZZh71QmBdMeJUfC6nGm283GQXBddfOIfAn2CM4ZLm/OsTkqpxFqib+Typ7lpl6xjbuXw7uEzGupNimY9kZRYNVYSIuFgOrw5BtqJxKP4Plqz6PVaNl2fRunY06rHUcUMqNRYeP8U2TpjZSq5EO1J6Up1hpIwbQ3RxfD2TWg1cEzM8FRhsyyRaHeobQLbQfAnONylFnUHNlwlTsRiTi5OPDUwMpopCnWKkjBtCcJN2DteNPtlm9CYDV184jH8mL1FwHYcGUDF+IuqJxGFJaYG8nsXXUJgKa9KsjQd1ZECqa9UBRYORoyEkznLBuPVTuReEzlfcrTukxrAL4/8b3KaURhMBiMbJx/CmOWQmh1Pyo1ClQ7kvgPKZj24uA8uLgZHF2g20xwkKl+7MGLNUxHmWsj1nI18arKaURBO7jmMtHXknF2d6TFgEpoNNIUa02kYNqD2AhY/47pdqv3oEQFdfMIi6niV4Vmwc0wKka+Py5HmfYs8koiB9ZeAaB534q4ezurnEjcTQqmPVj9KuhTIKQpPDFC7TTCwobVGAbAqouruJRwSeU0oiCYBig4g2JUKFfXn/L1AtSOJO5BCqatu7oHLm0x9YrtOg208i+1N7X8a9EsuBlZShYTd0wky5ildiRhYZeORBFzIxknV0ee7CstRNZK3l1t3fbPTd9r9QPfsupmEQXm3Ubv4qHz4Fj0MeafnK92HGFBiqJwYO1lAGo8VQpXD7kUzFpJwbRlNw7BhY2m4e+avqp2GlGAAt0DmdBgAgDTj0znXNw5lRMJS7lyPIboa8nonB2o2VKm7bJmUjBt2d9fmL5XfxZ8w9TNIgpcl/AutCjdgixjFm/veBu9Qa92JPGY/nt0Wa15MC4eOnUDiQeSgmmr7pyEM6sBDTR7Te00ohBoNBrea/Qe3s7enIk9w+zjs9WOJB7T9TNx3IlIxFGnpVbrMmrHEQ8hBdNWZR9dVu0ml5EUIcVdi/NOQ9MlRHOOzeFk9EmVE4nHcWDNZQCqNCuJm5ecu7R2UjBtUfR5OLHMdLvZ/9TNIgpd+9D2tA9tj0Ex8NaOt8gwZKgdSTyCm+fjuXk+Hq2jhtpt5OjSFkjBtEV/fwkoULGDjBdbRL39xNv4ufhxKeES0w9PVzuOeATZ5y4rNwrCw0fGi7UFUjBtTdxlOPar6faTcnRZVBVzKcakxpMAmH9yPocjD6sbSOTLnYhErp2KRaPVUKddiNpxhJmkYNqaHVNBMUB4K5kYuohrUboFXcO7oqDw9o63SdWnqh1JmCn76LLiEwF4FXdVN4wwmxRMW5JwA44sMN1+8nV1swirML7BeALdA7mWdI2ph6aqHUeYIfp6EpePRYMG6rYPVTuOyAcpmLZk1zdgyDSNGRvSSO00wgp4OnkyufFkABadWcSeW3tUTiQe5sAa0wDr5ev6UyzATeU0Ij+kYNqK5Eg4ON90u7kcXYp/NS7ZmN4VewPw7s53ScpMUjmRuJ/YWylcPBwJQN2nQ9UNI/JNCqat2P0tZKVDqfoQ1lztNMLKjKs7jlIepbiVcovP93+udhxxH4fWXQEFytYqgV+wh9pxRD5JwbQFaXGw/wfT7SdfB5lUVtzFTefGh00/RIOG5ReWs+7yOrUjibskRqdxbv8dAOo+LT1jbZEUTFtwfClkJoN/FSjfVu00wkrVDajL4KqDAXjr77fYfXO3uoFELqd33UIxKpSq5IN/iJfaccQjkIJpC44uMn2vPUCOLsUDja0zljYhbdAb9YzdMpbjUcfVjiQwTRB9Zs8tAKo0KalyGvGopGBau6izcOMgaB2hei+10wgr56B14JNmn9AwqCFpWWmM3DSSS/GX1I5V5N04H09ybAZOro6E1SyudhzxiKRgWrsjC03fy7UBjxLqZhE2wcnBia9bfk01v2rEZ8QzbMMwbiXfUjtWkXZmt2n/l6vnj6OTg8ppxKOSgmnNjIZ/h8Gr1VfdLMKmuOnc+K71d4R5h3En9Q7DNgwjNj1W7VhFUmZ6FhcPRwFQqWGQymnE45CCac0ubYWkW+DqAxXaq51G2BgfFx9mt5lNoHsglxMv89LGl0jRp6gdq8i5dDiKrAwD3v6uBJaVzj62TAqmNctujq3WExyd1c0ibFKgeyCz2szCx9mHUzGnGLN5jEwHVsiym2MrNQxCI532bJoUTGuVngBnVptuS3OseAxlvcsyo/UM3Bzd2Hd7Hy+sf0GaZwtJYnQaN87FgwYqNgxUO454TFIwrdXJP0wj+5SoBCXrqJ1G2Liqxavybatv8dR5ciTqCP3+7Ce9ZwvB2b23AShV0QdPX5nz0tZJwbRW2c2xNfvKtZfCIuoH1ueXDr8Q7BHMjeQbDFgzQAZrL0CKonBmj6lgVpKjS7sgBdMaxVyEa3tAo4UavdVOI+xI2WJlWdhxIbVK1CJJn8RLG15i2fllaseyS7cuJpAYlYbO2YGytf3VjiMsQAqmNTq62PQ9/Cnwkm7owrJ8XXz5vt33PB36NFlKFu/teo+vDn6FUTGqHc2unP2ns094XX90znLtpT2QgmltjMZ/h8KrKZ19RMFwdnDm0yc/ZUTNEQDMPTGX/237H2lZaSonsw/6TAPnD5qm8ZLmWPshBdPaXNkBCdfA2RsqdVQ7jbBjGo2GUbVG8VHTj9BpdWy4soGh64YSnRatdjSbF3EkCn26AU8/F0qWK6Z2HGEhUjCtzZF/ji6rPQM6V3WziCKhc3hn5rSdQzHnYpyIOUHfP/uy//Z+tWPZtP929tFopdOevZCCaU2MBji7xnRbOvuIQlQ3oC4LOiwg1CuU2ym3Gbp+KB/u+VBGBnoEmWlZ3DgTB0CFJ6Q51p5IwbQmNw9DerypObZUA7XTiCKmjFcZFnVcxLMVngXg17O/8syKZ9h1Y5fKyWzL9bNxGI0K3v6uFPN3UzuOsCApmNbk4mbT97JPgoOjullEkeTh5MG7jd5lTts5BHsEcyvlFsM3Dufdne+SmJmodjybcO2UaRSlMpV9VU4iLE0KpjW5sMn0PbyVujlEkdcwqCHLuiyjX6V+ACy/sJxn/niGbde2qZzM+l09FQNA6ap+KicRliYF01qkJ8D1fzpahD+lbhYhME0R9uYTbzK//XxCvEKITItk9ObRvPn3m8Snx6sdzyrFR6aSGJ2O1kFDcIViascRFiYF01pEbAfFAH7lwCdE7TRC5KgbUJclnZcwuOpgtBotqy+tptuKbmy8slHtaFYnuzk2sKw3Ti5yWsXeSMG0FtIcK6yYq6Mrr9V7jZ+f/pmy3mWJSY/h1a2v8trW1+S6zf+4mn3+sqqcv7RHUjCtgaLAxX8KZjkpmMJ61ShRgyWdl/Bi9Rdx0Djw15W/6LCsA18e/JK49Di146nKkGXkxlnTPihTRc5f2iMpmNYg9hLEXwWtDkKaqJ1GiAdycnBiTJ0xLOy4kGp+1UjLSmPeiXm0/7093xz6hoSMBLUjquJORAL6DAOunjqKl/JQO44oAFIwrUF2c2yZhuAsLzRhG6r4VWFhx4VMe2oalXwrkZqVypzjc2j/e3tmHJlBUmaS2hEL1dWTpubYUpV8ZXQfO2X1BfPGjRsMGDAAPz8/XF1dqV69OgcOHFA7lmVJc6ywURqNhhalW/Brp1/5qsVXlCtWjmR9Mt8d/Y72v7dnzrE5RWa0IDl/af+sumDGxcXRpEkTdDoda9eu5dSpU3zxxRf4+PioHc1ysjIh4m/TbbmcRNgorUZL65DW/N7ldz5v/jllvcuSmJnIN4e/of3v7Zl7Yi6p+lS1YxaYtKRMoq6ZjqhLy4AFdsuq+z1/+umnlC5dmnnz5uUsCwsLUzFRAbi2F/Qp4F4CAqqrnUaIx6LVaGkf2p42Zdqw9vJaZh6dyZXEK3x18Ct+PPkjz1d7nl4Ve+Hi6KJ2VIu6diYWFPAL9sDd21ntOKKAWHXBXLlyJe3atePZZ59l27ZtBAcHM3LkSF588cX7PiYjI4OMjIycnxMTTcN56fV69Hp9gWf+L70+6z+39eg1Sp77aM9vxAEwhrXAYDCAwVB4Ae8jez8V9v6yZbLP8mpXuh2tglux9vJa5pyYw/Xk63x+4HPmnZzH0CpD6RzSGbCPfXblhGl0n+BKxQr077G155k574EFn8Fy+0qjKErh/wVmcnExfQodN24czz77LPv372fs2LHMnDmTQYMG3fMxkyZNYvLkyXmWL1y4EDe3wh0IOcMAb+wzfSb5rEEW95p0vfmZdymWdpmDIcO57is9ZIV9MigGDmceZkv6FhIUUy9aL40XTZybUMepDq5a253KTlHg1hZ3jBlaitdPxaW4+h96rYU574EFLTU1lX79+pGQkICXl9djrcuqC6aTkxP16tVj165/Z0sYM2YM+/fvZ/fu3fd8zL2OMEuXLs2tW7fw8yvca6NSM7Oo+YFpQPWjE5/CzemuA3qDHsdPSqJBQf/yMfAqWaj57kev17NhwwbatGmDTqdTO45NkH1mHr1Bz4pLK/j+xPdEpkUC4OzgTIfQDvSq0IuKPhVVTph/KfEZLJi4D40WhvxfExx1Bdc1xNaeZw99DywEMTExBAUFWaRgWnWTbFBQEFWqVMm1rHLlyvz+++/3fYyzszPOznnPIeh0ukJ/gumUf7uWm7Z/1+5OjQQU0Dig8ykNWuvqg6XGPrN1ss8eTKfT0bdKX7pX7M4f5/7g+wPfc9twm+UXl7P84nJq+9emb6W+tC7TGp2DbezHjJQ0ANw8nXB1K5zzl7byPHvoe2BhZLDgfrLqgtmkSRPOnj2ba9m5c+cICbGTsVaTTbOy4xFgdcVSiILk7OBM93LdcT7rTMn6JVlyYQkbr2zkcORhDkceprhrcZ6t8Cw9K/TE381f7bgPlJpgatFyLyadfeydVRfMV199lcaNG/PRRx/Rq1cv9u3bx+zZs5k9e7ba0Swj6Y7pu2eAujmEUIlGo6G2f20aBDcgKjWKpeeW8tu534hOi2bG0RnMOTaHViGt6FOxD3UD6qLRWN+AACkJmQC4Se9Yu2fVhzX169dn+fLlLFq0iGrVqvHBBx8wdepU+vfvr3Y0y8g5wgxUN4cQVqCEWwleqvUSf/X4i8+f/Jw6/nXIUrJYf3k9Q9YPoceqHiw5t8TqrufMPsJ083ZSOYkoaFZ9hAnQqVMnOnXqpHaMgiFHmELkoXPQ0T6sPe3D2nM29iyLzixiTcQazsed5/3d7/PVga/oWq4rfSr1IcRL/dMzKYmmI0x3LymY9s6qjzDtnhxhCvFAFX0rMqnxJDb03MDr9V6njGcZkvRJ/HL6Fzot78SIDSPYdm0bRsWoWsZUaZItMqRgqinZ1K0ejxLq5hDCynk7ezOw6kBWPbOKGa1n8GSpJ9GgYefNnYzePJpuK7rxx4U/0BsL/4L+1H+OMN3kCNPuScFUk8c/TbExF9XNIYSN0Gq0NA1uyvRW0/mz+58MrjoYTydPIhIimLhzIh2WdWDB6QWkZaUVWqbsQhl/x7rOrQrLk4KpptCmpu+X/1Y3hxA2qLRnaV6r9xp/9fiLcXXHUdy1OLdTbvPJvk9o/3t7Zh+bTWJmYoHnCK5QDIAb5+ILfFtCXVIw1RTazPT99glIjVU3ixA2ysPJgyHVhrCuxzomNpxIsEcwsemxTDs8jbZL2/LVwa+ITosusO0HVzTNnnTrQjwGg3rnUkXBk4KpJs8AKF4RUGDrJ6ZBKYUQj8TZwZleFXux+pnVfNLsE8oVK0eKPoW5J+bSbmk7PtzzIdeTrlt8u8WDPXB2d0SfYeDIhqsWX7+wHlIw1dbyTdP3fbNgx5fqZhHCDjhqHelYtiO/d/mdaU9No2aJmmQaM/n17K90Wt6JN/9+kwtxFyy2PY1WQ4NOpmkH9/xxidO7blps3cK6SMFUW9VnoN3Hptub3odDP6mbRwg7odVoaVG6BT8//TNz282lSckmGBQDqy+t5pmVz/Dy5pc5GnXUItuq0bI0tduWAWDLL2eJOFZwTcBCPfkeuCAjI4O9e/dy5coVUlNTKVGiBLVr17a/iZ0LU6ORkBJlOsJcNRYMmVBnENjI4NNCWDONRkP9wPrUD6zPyZiT/HD8BzZe2cjWa1vZem0r9QPr827Ddwn1Dn2s7TR6Jpy0ZD1ndt1i/ZwTtBpYmXJ1/dForW84P/FozC6YO3fu5Ouvv2bVqlXo9Xq8vb1xdXUlNjaWjIwMypYty7BhwxgxYgSenp4Fmdk+tXrXVDQP/wx/vgY7pkLjMVB7ADgV7jyeQtirqn5V+bLFl0QkRDD3xFxWX1zN/tv7eeGvF/ilwy8Euj/6ICIajYaW/SuSnqzn8rFo/vrhJPtWR1CnXRkqNAjEwVEa9GydWf/BLl260Lt3b0JDQ/nrr79ISkoiJiaG69evk5qayvnz53nnnXfYtGkTFSpUYMOGDQWd2/5oNNBpKrT5ANz9IeEarH0dplaH7f8HafFqJxTCboR5h/FBkw9Y030NZb3Lcif1DsM2DCM+Pf6x1qt10NLuxarU6xCKs5sj8XdS2fzTGX6ZuJujm6+hz5TJpW2ZWQWzY8eORERE8Nlnn9GsWTNcXXPPjl62bFkGDRrEunXr2LRpE1qZqurRODhCkzHwyjHo+AUUKwOp0bD5A1Ph3Djp39GBhBCPLcgjiFltZhHgFkBEQgSjNo167MHdHXUOPNGlLAOnNKZR93DcvJxIjstgx2/n+emtXRxYc5mM1MIfkUg8PrMq2/Dhw82ehLNKlSq0atXqsUIVeTpXqP8CvHwYnpkNJSpDRiLs+MpUOP98DeKuqJ1SCLsQ6B7IrDaz8Hb25lj0MSb8PcEi63VydaRO2xCem9KI5v0q4lXchfRkPXtXXuLHt3axa9kFUv6Z6UTYhsc6FExOTiYxMTHXl7AgB0eo2Rte2gV9FkFwPchKh/3fwze1YdlwiDytdkohbF54sXC+fepbtBotW65t4XbKbYut21HnQLUng+k/uSFthlbBt6Q7+nQDh/+6ys9v72brwrMkRBXeUH7i0eW7YEZERNCxY0fc3d3x9vbGx8cHHx8fihUrho+PT0FkFFotVOoAL2yEQaugbEtQDHBsMXzXEBb1g+sH1E4phE2r5V+Lyr6VAdh/e7/F16910FKhQSB93mlAh5E1CCzrhSHLyMntN1jw3h42zD1JzI1ki29XWE6+LysZMGAAiqIwd+5cAgICrHIGdLul0UDYk6avG4dMTbSnV8HZP01foc2g2ThTQZX/ixD51iCwASdjTrLv9j46h3cukG1otBrCahQntLofN8/Hc2jdFa6eiuXcvjuc23eH0BrFqds+hMCy3gWyffHo8l0wjx49ysGDB6lYsWJB5BHmCq4DvX+GqHOwcyoc+9U0iPvlvyGgGjR4Eao/C07uaicVwmbUD6zPvJPzOHC74FtsNBoNwRV8CK7gQ+SVRA6tv8LFw1FcPhbN5WPRBJb1onqLUoTX8ZdLUqxEvv8L9evX59q1awWRRTyKEhWg23cw5gg8MQIcXeHOCdMACF9WhvVvy/RhQpiphJtpbtrUrMKdqss/xIv2w6rT770nqNw4CK2DhtuXEtkw9xQ/vrWLvSsvkRyXXqiZRF75PsL8/vvvGTFiBDdu3KBatWp5es/WqFHDYuFEPhQrDU9/Cs3Hw5EFpo5BcZdh97ewezqUaw0Nhpm+y2U/QtxTVGoUACVc1ZnU3SfQnacGVuaJrmU5teMmJ7ffICUhkwNrLnNw3RVCa/iR7uSAIhM1qCLfBTMqKoqLFy8yZMiQnGUajQZFUdBoNBgMcmGuqtx8ofHL0HAUXNgI+2bDhQ3/fvmEmi5ZqdXfdF8hRI7sacCKuxVXNYe7tzP1O4ZRp30IEUeiOb71OjfPxxNxJBpwY+m1Q9RoUYoKTwTi5JLvt3HxiPK9p4cOHUrt2rVZtGiRdPqxZlotVGhr+oq5CAfmmobdi7sMf70Dm6dA9Z6mo84gaRUQAiAqTd0jzLs5OGgpV9efcnX9ibmRzNEtVzmz+xZxt1LZtugcu5dfpFKjIKo1D8YnUPorFLR8F8wrV66wcuVKypUrVxB5REHwC4d2U6Dl23B8CeybA3eOmwro4Z+hdENTJ6HKXcDRSe20QqgmMtU0kpa1FMz/8gv2oFnv8iS4nCfEuyan/r5FQmQax7Zc59iW65Su7EP1FqUIqV4crQz4XiDyXTCfeuopjh49KgXTFjm5Qd1BUGcgXN0D++fAqRVwbY/py90f6g2BGgPUTiqEKnKaZF3VbZJ9EK0OqrcIpnarEK6dieX41htcPh7NtdNxXDsdh6evC9WaB1O5SRCuHvIB2JLyXTA7d+7Mq6++yvHjx6levXqeTj9dunSxWDhRQDQaCGlk+kq6DQfnw4F5kHwbtn2K4/b/o553XTQ3AiH0CbXTClFocppk3azvCPNuGq2GMlX8KFPFj8ToNE5sv8GpnTdJik1n9/KL7FsVQfn6/tRqUwa/kh5qx7UL+S6YI0aMAOD999/P8zvp9GODPAOhxQRo9pppEIR9c9Bc3UVw/D6Y3xYqtIeWb0FQTbWTClGgFEXhetJ1APzd/FVOkz9exV1p3L0cDTqFcf5AJMe3XifqahJndt/mzJ7blK8XQP2OoXKe8zHlu2AajcaCyCHU5qCDat2hWnf0149wa9nblI7bhebcOji3Dip1MhXOgKpqJxWiQJyLO0dseiwuDi45Q+TZGkcnByo3DqJSo0DuRCRyZMNVLh6O4vz+O1w4cIcKTwRSr0Moxfxljt1HIRfkibwCqnI4ZBhZw3dB9V6ABs6shhmNYclgiDyjdkIhLG73zd0A1Aush5ODbZ/702g0BJb1pv3w6vR6uz6hNYqjKHB2z20WTtrL5p9PkxgtA77n1yNdwLN//362bNlCZGRkniPOL7/80iLBhBXwKwc95piaa7d9AieX//P1h2nYvebjobh0/hL2YefNnQA0KdlE5SSWVaK0Jx1H1iDySiL7VkVw5UQMp3fe4uzu21RuEkTdp0Px9HVRO6ZNyHfB/Oijj3jnnXeoWLFinusw5ZpMO+VfCZ6dD83+B1s/Nh1tHv8NTiyFmn3hydfBN0ztlEI8srSsNA7dOQRA4+DGKqcpGP4hXnQaXZPblxLYt+oS107HcfLvm5zefYuqTYOp2z4E92LOase0avkumF9//TVz585l8ODBBRBHWLXAatBnAdw8Yiqc59aZhuE79ivU6mcqnMXKqJ1SiHw7eOcgmcZMAt0DCfOy7w9/gWW96TK2NjfPx7F3ZQQ3z8dzfOt1Tu28SbUng6nTLgQ3L9tuki4o+T6HqdVqadLEvposRD6VrAX9foUXNpvGpjVmwaGf4Js6sHocJNxQO6EQ+bLzxr/NsUWlpaxkeR+eea0OXV+pRWBZbwx6I0c3XePnd3axa9kF0pIz1Y5odfJdMF999VWmT59eEFmErSlVFwb8DkPXQ1hzMOrhwA/wTW3Y+glkyQtO2IbsDj+NS9pnc+yDlKrkS/fX69B5TE38Q73IyjRy+K+r/Pz2bo5uuoZilIHes+W7SfZ///sfHTt2JDw8nCpVquQZuGDZsmUWCydsRJmGMGglXN4BWz6CKztNTbanV0HXb6FkbbUTCnFft1NuczHhIlqNlieCiuZAHRqNaRCE0pV9uXIihn2rIoi6msSOJee5eCiSpwZWpliAXIqS7yPMMWPGsGXLFipUqICfnx/e3t65vkQRFtoUBv8JPeeCm59pXs45rWDjZNDLXH7COu26uQuAasWr4e1ctN/DNBoNodWL8+yEejTvVxGdswO3Liaw+MN9HPrrCkZD0b4OP99HmD/++CO///47HTt2LIg8wtZpNFCth6mJds3rcHIZ7PgSzvwJXadD6fpqJxQil+yCWRSbY+9Ho9VQ7clgQqr5seWXM1w7FcvuZRe5eDCSpwZVLrJD7eX7CNPX15fw8PCCyCLsiXtxeHYe9P7FNKh79FmY2xbWvw2ZhTubvRD3YzAacs5f2tv1l5bg6etC55dr8tTASji5OhJ5JYnfpuznwJoIDEXwaDPfBXPSpEm89957pKbKm54wQ+XOMGov1OgDihF2fwszm8CVXWonE4KTMSdJzEzEU+dJteLV1I5jlTQaDZUbl6Tvu08QWt0Po0Fh78oIln5ygKhrSWrHK1T5bpL95ptvuHjxIgEBAYSGhubp9HPo0CGLhRN2ws0Xus8yjVW76hWIvQTznjZNXt3qPXAums07Qn3ZzbFPBD2Bo/aRBj4rMjx8nOkwsgbn9t3h79/OEX0tmaUfH6BO+xDqPR2Kg87+R1rN9zOkW7duBRBDFAkV2sGoPfDXO6brNvfNNg1+0OVbKNtc7XSiCMo5f2mno/tYmkajoeITgZSu7Mv2RWe5eDiKA2suc+lIFK0GVcY/xEvtiAUq3wXzvffeK4gcoqhw8YYu06DqM7ByLMRfhZ+7QbuPoeEItdOJIiQ2PZZjUccA6fCTX25eTrQfXp0LByPZvvgssTdT+P3zg7QaWJkKDQLVjldgzDqGVhS5cFVYWPhTMHI31OpvOre5brypV60hS+1koohYG7EWg2Kgil8Vgj2C1Y5jk8rV9afve08QWqM4xiyFDXNPsf/PCLutGWYVzKpVq7J48WIyMx88csv58+d56aWX+OSTTywSTtg5Zw/TpSZt/pmMfN9sWNQH0hPVzSWKhBUXVgDQJbyLyklsm6uHEx1GVKdWG9M40vtWRbBx/ikMevvrRWtWk+y0adMYP348I0eOpE2bNtSrV4+SJUvi4uJCXFwcp06dYseOHZw8eZLRo0fz0ksvFXRuYS80GmgyFnzCYNkwuLAB5rY3jVVbrLTa6YSdOhd3jtOxp3HUOtIhrIPacWyeRquhSY9yFPN3Zduic5zbe4ekmHRaDK2idjSLMqtgtmrVigMHDrBjxw5+/fVXFixYwJUrV0hLS6N48eLUrl2bgQMH0r9/f3x8fAo6s7BHVbqAdzAs6guRJ+H7VtB3MQTXUTuZsEMrL6wEoHmp5vi4yHuWpVRtFoyXnyvrZh/n1oUEVn95GB+DhjgH+2iizVenn6ZNm9K0adOCyiKKuuC68MImWNjbVDTndYDus03FVAgLyTJmsfrSagC6hndVOY39KV3Flx5v1GP19KMkRafTX+PMCjf7mIjB/i+cEbalWGkYug7KtYGsNPjtOdgxFey0E4EofLtu7iImPQZfF1+alpIDgILgW9KdnuPrUSLUE1dFQ+MMR7voCCQFU1gfFy9Tc2z9F00/b3wP/nxNiqawiOzOPh3COqDT6h5yb/Go3LycaD+6Bgecs1jplmkX84xKwRTWycEROv4fPP0ZaLSmeTY3yjXA4vEkZCSw5doWALqWk+bYgubo5MAWVz1pdlJpzP4zbt68WZA5hLi3J4ZD529Mt3d+bfoS4hGti1iH3qingk8FKvlWUjuOsDFmF8yqVauycOHCgswixL3Vee7fazU3vAuHflY3j7BZKy+aesdKZx/xKMwumFOmTGH48OE8++yzxMbGFmQmIfJqMtb0BbBqDJxerW4eYXMuJVziWPQxHDQOdCgr116K/DO7YI4cOZJjx44RExNDlSpVWLVqVUHmEiKv1pOh9nOmofSWDoWI7WonEjYk+9rLpsFNKe5aXOU0whbl6zrMsLAwNm/ezLfffkv37t2pXLkyjo65VyHTe4kCo9FAp6mQFgdnVsOifjB4FZSsrXYyYeUMRgOrLpk+5EtnH/Go8j1byZUrV1i2bBk+Pj507do1T8EUokA5OEKPH2BBT7j8N/zSA4auh+Ll1U4mrNjeW3uJTI3Ey8mL5qVkKjnxaPJV7ebMmcNrr71G69atOXnyJCVKlCioXELcn84F+iyEHzvDrSOwsBeM2AFO7monE1Zq6fmlADwd9jRODk4qpxG2yuxzmO3bt2f8+PF8++23LFu2TIqlUJeLFwz4HbyCIfYSbJykdiJhpS4lXGLjlY0A9KrYS+U0wpaZXTANBgPHjh1j4MCBBZlHCPO5FzdNRg2mqcEubVM3j7BKPxz/AQWFp0o/RQWfCmrHETbM7IK5YcMGSpUqVZBZhMi/cq2g3lDT7RWjZC5Nkcu1pGv8eelPAIbVGKZyGmHr7GTAIlGktfkAioVAwjVY/5baaYQVmXtiLgbFQJPgJlQtXlXtOMLGScEUts/ZA7rNADRw+Gc4t17tRMIK3E65zR8X/gBgeI3h6oYRdkEKprAPoU2g4UjT7ZVjIFVGoyrq5p2YR5Yxi/qB9antL9fqiscnBVPYj1YTwa88JN+GtW+onUaoKDotmt/P/w7I0aWwHCmYwn7oXOGZWabpwI4vgZN/qJ1IqOSnkz+RYcigZomaNAhsoHYcYSekYAr7UqouNH3VdPvPcZAcpW4eUeji0+NZfHYxYOoZaw8TFwvrIAVT2J/m4yGgGqTGwOpXQFHUTiQK0c+nfyYtK43KvpVpFtxM7TjCjkjBFPbH0RmemQlanWmQ9mO/qZ1IFJLEzEQWnjbN2ytHl8LSbKpgfvLJJ2g0Gl555RW1owhrF1gdWow33V7zOiTeVDePKBSLzywmWZ9MuWLleKrMU2rHEXbGZgrm/v37mTVrFjVq1FA7irAVTV6FknUgIwFWvixNs3YuVZ/Kz6d+BuDF6i+i1djM25uwETbxjEpOTqZ///7MmTMHHx8fteMIW+HgaGqadXCGCxvh0I9qJxIFaMm5JcRnxBPiFUK70HZqxxF2yCYmsxw1ahQdO3akdevWfPjhhw+8b0ZGBhkZGTk/JyaaxhbV6/Xo9foCzXk3vT7rP7f16DW2cYSTvZ8Ke38ViGJl0bZ8G4eN76Ksf4ussm3Aw9/im7GrfVZILLnPEjMTmXtiLgCDKw/GaDBiNBgfe73WxtaeZ9bwHmjJfWX1BXPx4sUcOnSI/fv3m3X/jz/+mMmTJ+dZvmXLFtzc3Cwd74EyDJC9i9ev/wtnh0Ld/GPbsGGD2hEsQynDk25h+KRGcHnR65wK7l1gm7KbfVaILLHPlqQsIVYfS3FtcbRntKw5u8YCyayXrTzPrOE9MDU11WLrsuqCee3aNcaOHcuGDRtwcXEx6zFvvvkm48aNy/k5MTGR0qVL07JlS/z8/Aoq6j2lZmbxxr7NALRr1xY3J6ve3Tn0ej0bNmygTZs26HQ6teNYhKa8IywZQLn4rYT2/wrcfC26fnvcZwXNUvts07VNHP37KFqNli9af0H14tUtmNK62NrzzBreA2NiYiy2Lqt+Bz948CCRkZHUqVMnZ5nBYGD79u18++23ZGRk4OCQ+yOLs7Mzzs7Oedal0+kK/QmmU/7t0m7avlXv7jzU2GcFpkonCKiO5s5xdId+gJYFM6uJXe2zQvI4+ywmLYaP938MwPPVnqdOUJ2HPMI+2MrzzBreAy25n6y600+rVq04fvw4R44cyfmqV68e/fv358iRI3mKpRD3pdHAk/8z3d47E9IT1M0jHpuiKHy450Ni02Op4FOBETVHqB1J2DmrPuTx9PSkWrVquZa5u7vj5+eXZ7kQD1W5CxSvCNFnYf/30Ow1tROJx/BnxJ9svLoRR40jU5pOwcnBSe1Iws5Z9RGmEBal1f5bJHdPh8wUdfOIR3Yn5Q4f7f0IgBE1R1DJt5LKiURRYNVHmPeydetWtSMIW1atB2z9COIuw4F50Hi02olEPimKwqTdk0jKTKKaXzWer/682pFEESFHmKJocXCEpv/0ot71DejT1c0j8m3Z+WXsuLEDJ60TU5pOwVFrc5/7hY2SgimKnpp9wasUJN+Bwz+rnUbkw43kG3y2/zMAxtQZQ9liZVVOJIoSKZii6HF0gqavmG7v/BqyMlWNI8xjVIxM3DmR1KxU6vjXYUDlAWpHEkWMFExRNNUeAB4BkHANji1WO40ww6Izi9h/ez+ujq582ORDHLRyWZkoXFIwRdGkc4XGL5tu//0lGLIefH+hqssJl5l6cCoA4+qOo7RXaXUDiSJJCqYouuoOAVdfiIuAk8vUTiPuw2A08PbOt0k3pNMwqCG9KvZSO5IooqRgiqLL2QMajTLd3v5/YLS/2S3swfyT8zkWdQwPnQfvN35f5rkUqpFnnijaGrwIzt6m0X/OrFY7jbjLkcgjTD8yHYDxDcYT5BGkciJRlEnBFEWbizfUH2q6fegndbOIXM7HnWfUplHojXqeKv0UXcO7qh1JFHFSMIWo9c/lCRc3QdJtdbMIwHS95YgNI0jMTKRGiRp83OxjNBrNwx8oRAGSgilE8XJQqgEoRjj2q9ppirzotGiG/TWMyLRIyhUrx3etvsNNV7iTvwtxL1IwhQCo1c/0/cgiUBR1sxRhSZlJjNw4kqtJVwn2CGZm65l4O3urHUsIQAqmECZVnwEHZ4g6DTcPq52mSErPSuflzS9zOvY0vi6+zGoziwD3ALVjCZFDCqYQAK7FoHIn0+2ji1SNUhRlGbN4ffvrHLxzEA+dBzNbzyTEK0TtWELkIgVTiGw1/2mWPb4EsjLUzVKEGBUjk3ZNYuu1rTg7ODPtqWlU9qusdiwh8pCCKUS28JbgEQhpcXBuvdppioRMJZPX/36dFRdX4KBx4PMnP6deYD21YwlxT1IwhcimdYCavU23pVm2wEWlRvF98vdsub4FnVbHJ80+oWWZlmrHEuK+pGAK8V/ZzbLn/4LkKHWz2LGzsWcZ+NdAbhpuUsy5GD+0+4H2Ye3VjiXEA0nBFOK//CtByTpgzDKdyxQWt/36dgauHcid1DuU0Jbgx7Y/Utu/ttqxhHgoKZhC3C37msyjC9XNYYcWnl7Iy5tfJjUrlfoB9RnmMYzSnjJVl7ANUjCFuFu1HqDVwe3jpi/x2AxGAx/v/ZiP932MUTHSvXx3vm35La5aV7WjCWE2KZhC3M3NFyo+bbp9RDr/PK4UfQpjtoxh4RnTEfurdV9lUqNJ6LQ6lZMJkT9SMIW4l+xm2eO/gSFL3Sw27EzsGQasGcD269txcXDhqxZfMbTaUBlIXdgkR7UDCGGVyrUGVx9IiYLr+yGkkdqJbEqmIZNZx2Yx9/hcspQs/Fz8+LbVt1QrXk3taEI8MjnCFOJeHHRQ9p9rAi9uVjeLjTkedZzeq3sz+9hsspQs2oa0ZWmXpVIshc2TginE/ZRrZfp+cZO6OWxEelY6Xx74kgFrB3Ah/gK+Lr582eJLvmjxBcVdi6sdT4jHJk2yQtxP9hHmjUOQGmvqDCTu6XDkYd7d+S6XEy8D0LFsRybUn0Axl2Kq5hLCkqRgCnE/3sFQorJpyq9LW6Fad7UTWZ1UfSrTDk9jwekFKCj4u/ozsdFEWpRuoXY0ISxOmmSFeBBplr2vfbf20WNlD345/QsKCs+Ue4bl3ZZLsRR2S44whXiQ8Jaw+1u4uAUUBeRyCBIzE/n64Nf8du43AILcg5jUaBKNgxurnEyIgiUFU4gHCWkCji6QeAOizprGmi2ikjOT+eX0L/x08ieS9EkA9K7Ym1fqvIKHk4fK6YQoeFIwhXgQnSuENDZdWnJxU5EsmKn6VBaeWcj8k/NJyEgAoFyxcrzZ4E0aBDVQOZ0QhUcKphAPE/7UPwVzMzQapXaaQpOWlcZvZ39j7om5xKbHAhDmHcbImiNpG9oWrUa6QIiiRQqmEA8T3gp4By7vBH066FzUTlSgMgwZLD23lO+Pf090WjQAZTzLMKLmCDqEdcBB66ByQiHUIQVTiIfxrwyeQZB0C67uMh1x2qFMQybLzy9n9vHZRKZGAhDsEczwGsPpHN4ZR628XYiiTV4BQjyMRmMqkkcWmJpl7axg6o16VlxYwexjs7mVcguAQPdAhtUYRrfwbugcZFYRIUAKphDmyS6YFzZDW7XDWEaWMYvVl1Yz8+hMbiTfAKCEawlerPEiPcr3wMnBSeWEQlgXKZhCmKNsS0ADkSch8RZ4Bamd6JGl6FNYeXElC04v4EriFQB8XXx5ofoLPFvhWVwc7fscrRCPSgqmEOZw9wP/KqaCefuYTRbMSwmXWHxmMSsvriRFnwJAMediDK02lN4Ve+Omc1M5oRDWTQqmEObyLmUqmEm31U5itixjFtuub2PRmUXsvbU3Z3moVyh9KvWhW7luuOvcVUwohO2QgimEuTwDTN+T76ibwwyx6bEsO7+MX8/+yu0UU4HXarQ0L9WcvpX60jCoIRoZ5k+IfJGCKYS5PAJN3634CPN41HEWn13M2oi16I16wNTs2qN8D3pV7EVJj5IqJxTCdknBFMJcVnqEmWHIYP3l9Sw6vYgTMSdyllfzq0bfyn1pF9oOZwdnFRMKYR+kYAphLis7wryZfJPfzv7GsvPLiMuIA0Cn1fF02NP0qdiH6iWqq5xQCPsiBVMIc3mqXzAVRWHv7b0sOr2Irde3YlSMgGmggd4Ve9O9fHd8XXxVyyeEPZOCKYS53IubvqdEFvqmDUYDG65uYO7xuZyOPZ2z/ImgJ+hbqS/NSzWXoeuEKGDyChPCXFHnTN+9Cq/jjN6gZ9WlVcw9MTdnkAFXR1e6hnelb6W+lC1WttCyCFHUScEUwlyXt5u+hzYr8E2l6lNZem4pP576MWcgdC8nL/pX7k+/Sv0o5lKswDMIIXKTgimEuS7vMH0Pe7LANpGQkcDC0wtZcGZBzmTN/q7+DKw6kGcrPCuj8QihIimYQpjjxDK4edh0O6SJxVd/J+UOP536iSXnlpCWlQaY5qAcUm0IXcK7yEDoQlgBKZhCPMzFLbBsmOl2g+HgHWyxVV9NvMrcE3NZeXFlzkADFX0q8kL1F2gT0kYmaxbCikjBFOJBbhyCXweAUQ9VukH7jy2y2rOxZ/nh+A+sv7I+59KQOv51eL768zQLbibD1glhhaRgCnEvigIXNsLyEZCZDGHNoftseMwjvui0aCbtmsS269tyljULbsYL1V+gTkCdx00thChAUjCF+C+jAU79ATu+gtvHTcuCakKfBeD4eMPLJWUm8dLGlzgTewatRkvbkLY8X/15KvlWevzcQogCJwVTCICsDDi6GHZ+DbEXTct07lBvCDz5P3D2fKzVZxgyGLtlLGdiz+Dr4sv3bb+nvE95CwQXQhQWKZiiaMtIhoPzYfd0SLppWubqA0+MgAbDwO3xh5kzGA1M2D6B/bf3465zZ0brGVIshbBBUjBF0ZQaC/tmw96ZkGYauBzPktB4NNQZBM4eFtvU14e/ZuPVjei0Or5p+Q1V/KpYbN1CiMIjBVMULYk3TUeTB+aBPsW0zLcsNHkFavZ57POUdzMqRn4/9zsA7zd5nwZBDSy6fiFE4ZGCKYqGmIum85NHF4Eh07QsoDo0e9V0uUgBXe94NvYsiZmJuOvcaR/avkC2IYQoHFIwhX27fRz+/tLU8/Wf6x0p0xiajYNyraGAr3fcd3sfAHUD6spsIkLYOHkFC/tjyIKzf8K+OXD573+Xl28LTcdBSKNCi3LwzkEA6gfUL7RtCiEKhhRMYT+So+DQfNP5ycQbpmUaranJtdk4CKxe6JEyDBkA+Lj4FPq2hRCWJQVT2DZFgesHTD1eT/3x7/lJt+JQdxDUHQLFSqsWr7iradLpqLQo1TIIISxDCqawTfo0OPG7qVDeOvrv8uB6pusnq3azeI/XR1HCtQQAUalSMIWwdVIwhW2JuwIHfoBDP/17/aSDM1TvCfVfgGDrGo+1hNs/BVOOMIWweVIwhfUzGuHSFlMnnnPrAMW03LsM1H8eaj8H7n6qRryf7CbZ6LRolZMIIR6XVRfMjz/+mGXLlnHmzBlcXV1p3Lgxn376KRUrVlQ7migMafGm6yb3zfl3fFeA8Keg/otQoV2BXT9pKf5u/oA0yYqiyzsjCb2dXFJl1X/Ftm3bGDVqFPXr1ycrK4u33nqLtm3bcurUKdzd3dWOJwpKbIRpkIFjv4I+1bTM2Qtq9TM1uxa3nXFY/3uEqSiKzHMpioz0c+eInv09P69fw0+V2wPd1I702Ky6YK5bty7Xz/Pnz8ff35+DBw/y5JNPqpRKFJj4q7D9/+DIAjBmmZaVqAwNXoQavS06vmthKeFaAg0a0g3pRKZGEuAeoHYkIQpUxqVLRH87ncS1a0FR0AEV4q6pHcsirLpg3i0hIQEAX9/7zyCRkZFBRkZGzs+JiYkA6PV69Hp9wQa8i16f9Z/bevQapVC3/6iy91Oh7a/Em2h3foX2yC9ojKZtGss+hbHxGJQyTf4djaeQ/3/5cb995oADlX0rcyr2FDuv76Rz2c5qxLNKhf48swPWvM8yr14lbuZMkv5cY+p3ALi0asXwrKqc8ylDb5XeAy25rzSKotjEu7jRaKRLly7Ex8ezY8eO+95v0qRJTJ48Oc/yhQsX4ubmVpAR88gwwBv7TJ9JPmuQhbN1n24rdM76eMrfWU1o9BYcFNOTOsqjCmeCuhPrUUHldJazIW0D2zK2UUNXg17uvdSOI4RFOcbG4rdpE16HDqP5p1AmV6lCdJvWJAWUVP09MDU1lX79+pGQkICXl9djrctmCuZLL73E2rVr2bFjB6VKlbrv/e51hFm6dGlu3bqFn1/h9qRMzcyi5gebATg68SncnGzjgF6v17NhwwbatGmDTqez/AZSotDu/gbtwXlostIBMJZuiLH5myghTSy/vULwoH12MPIgL258kWLOxdjYfSNajVallNalwJ9ndsia9pn+1i3iZs8h8Y8/IMvUmub25JP4jhyJS1XTFHbW8B4YExNDUFCQRQqmTbyDjx49mtWrV7N9+/YHFksAZ2dnnJ3zXrCu0+kK/QmmU/7t4GHavk3s7hwW32epsabOPPtm/9uZp1R9aPk22rIt0NpBh5h77bO6QXVx17kTnxHPhaQLVPWrqlI666TGa9PWqbnP9HfuEDNrNvFLlqD809zp3qQJJV4ejWutWrnuaw3vgZbcT1b9Dq4oCi+//DLLly9n69athIWFqR1JPIq0ONMclHtmQGayaVnJ2tDyHSjXqsBnDFGbTqujQWADtlzbwu6bu6VgCpuUFRVF9Jw5xC/+FSXTNASl2xNPUOLl0bjVq6dyusJh1QVz1KhRLFy4kBUrVuDp6cnt27cB8Pb2xtXVVeV04qHSE2DPTFOxzDB12CKwOrR8Gyq0t/tC+V+NSzZmy7Ut7Lyxkxeqv6B2HCHMlhUbS8z3PxC3cCFKuukUimvdupR4+WXcGz6hcrrCZdUFc8aMGQC0aNEi1/J58+YxePDgwg8kzKMopmso170JabGmZf5VoMWbUKkTaIveObwmJU3nZo9EHiFFn4K7Tq4jFtZNMRqJW7CQqK++wphqOoXiUrMGJcaMwb1x4yJ5TbFVF0wb6Y8k/ivhBqx+Fc6vN/1cvAK0mABVnimShTJbaa/SlPYszbWka+y/vZ8WpVuoHUmI+8qIiODWOxNJO2iaz9WlalVKjHkZ9yefLJKFMptVF0xhQxQFDv8M69+GjERwcILm46HJWHCQDh1gapb99eyv7LyxUwqmsEqKwUDs/B+J+uYblIwMNG5u+P/vNXz69EFThD/wZpOCKR5f3BVYNQYubTX9HFwXuk4H/8qqxrI22QVz181dakcRIo+MCxe4+dbbpB87BoB748YEvv8+TqWCVU5mPaRgikdnNJqm2to4ydT71dHF1KGn0SirHxRdDQ0CG+CoceRq0lWuJV2jtKd6E1sLkU3R64n5YS7R06ej6PVoPTwImDAe7x49inTz671IwRSPJuYirBwDV/4ZdalMI+jyLRQvp24uK+bh5EGNEjU4FHmI3Td3U7qiFEyhrvQzZ7j51ltknDoNgHvzJwmaPBldYKDKyayTNEqL/DEaTJeJzGhiKpY6N3j6Mxi8RoqlGZoEm3rL7ryxU+UkoihTMjOJ+mYaET2fJePUabTe3pT89BNKz5wpxfIB5AhTmC/mIiwfAdf3mX4OexI6fwO+MqCEuRqXbMy0w9PYd3sfeqMenVY6RInClX7qFDfHTyDj/HkAPNu0JvDdd3EsUULlZNZPCqYwz6Wt8OtA0wAETp7Q9gOoO7hIDT5gCZV9K1PMuRjxGfEcvHOQhkEN1Y4kipDEdeu5OX48SkYGDj4+BL47Ec/27eVcpZmkSVY83KGf4JcepmJZqgGM3A31hkixfAQOWgdah7QGYNXFVSqnEUWFoihEz57DjVdeQcnIwP3JZpT9czVeTz8txTIfpGCK+1OMsOE9WPmyaULnaj1h0CooJp1VHkfX8K4AbLiygdTsQeiFKCBKZia33nmHqC+/BMDnueco/d13OD5gXmFxb1IwxT05GDNw+H0o7JxqWtB8PPT4HnQuquayBzVL1CTEK4S0rDQ2XNmgdhxhxwwJCVx9cRgJvy8DrZaAd94h8O230DjK2bhHIQVT5JV0mybnP0J7drVpxJ5nZkPLt6QJ1kI0Gg1dwrsAsOLiCpXTCHuVeeUKl3v3IXXvXrRubpSe8R2+A/qrHcumScEUud05ieP8dvikRqC4+sLAFVCzt9qp7E7nsp3RoGH/7f3cSL6hdhxhZ1IPHuRy7z5kXr6MY1AQIYsW4tG8udqxbJ4UTPGv8xvgh3ZoEm+Q7BxI1uB1ENJY7VR2KcgjiAZBDQBYeXGlymmEPUlYtYqrg4dgiI/HpVo1Qn9djEvFimrHsgtSMIXJkYWwsBdkJmEMacL2Cu+Cb1m1U9m17M4/Ky+slJl5hEXE/PADN19/A0Wvx7NNG0J+/gmdv7/aseyGFEwBp1fDilGmXrG1+mPouwS9o4faqexeqzKtcHN043rydQ5FHlI7jrBxcb/+RuTn/weA7/NDCf56KlpXV5VT2RcpmEVdxHZYOtRULGs/Z5plxMFJ7VRFgpvOjbahbQFplhWPJ3Hdem5PmgSA34jhBLz+ukzHVQBkjxZlNw/Don5gyIBKnaDTVOkJW8iye8uuv7yetKw0ldMIW5S8cyc3Xn8dFIVivXtTYuxYtSPZLSmYRVX0edPoPZlJENoMevwADnJtVmGrG1CXYI9gUvQpbLq6Se04wsakHTvG9ZfHgF6PZ/v2BL47UUbuKUBSMIuihBvw8zOQGgNBNaHPQhmQQCVajTbnKHPlBWmWFebLuHiRay8OQ0lNxb1xI0p+9ikaB5mHtiBJwSxqUmNNxTLhGviVg/6/g4uX2qmKtM7hnQHYc2sPt1Nuq5xG2AL9zZtcHfo8hoQEXGrUoNS0aWidpO9BQZOCWZRkJMOCnhB9FjxLwnPLwUOm9FFbac/S1A2oi4LC6kur1Y4jrJxDcjI3hw8n684dnMLDKT1rJlp3d7VjFQlSMIuS1a/AjYPg6mMqlsXKqJ1I/CP7msxl55eRZcxSOY2wVorRSNDCRegvX8GxZBBlfvgeRx8ftWMVGVIwi4qTf8DxJaDRQt/F4F9J7UTiP9qFtsPb2ZtrSddYf3m92nGElUpY/CtuFy+icXWhzJw56AID1Y5UpEjBLAqSo+DPcabbTcdBGZm02Nq46dx4rvJzAMw5NgejYlQ5kbA2mZcvE/PVVwD4vToO5/BwlRMVPVIw7Z2imJpiU2MgoJppmi5hlfpV7oenzpOLCRfZfHWz2nGEFVEMBm6++RZKejop5crh3buX2pGKJCmY9u7Yb3BmNWh18MxMcJSedNbK08mTvpX7AjD72GwZX1bkiJ0/n7TDh9G4u3OnZ08ZxUclstftWcINWPO66XaL8RBYXd084qEGVB6Aq6Mrp2NP8/eNv9WOI6xAxvnzRE39GoAS498gy6eYuoGKMCmY9kpRYOXLkJEAJetAk1fVTiTM4OPiQ++KpvlHZx2dJUeZRZyi13Nz/AQUvR6P5s3x7NZN7UhFmhRMe3XoR7i4CRxd4JlZMuydDRlUdRDODs4ciz7G3tt71Y4jVBQ9ezbpp06h9fYm8IP3Zdg7lUnBtEdxl2H926bbT02EEhVUjSPyp7hrcXqU7wGYzmWKoint5EmiZ8wEIHDiRJnX0gpIwbQ3RiP8MQoyk6FMY2j4ktqJxCMYUm0IjlpH9t/ez6E7MldmUWPMzOTWhAmQlYVnu3Z4deygdiSBFEz7s28WXNkBOnfoNh20MhizLQp0D8wZ/UeOMoue6GnTyDh/AQc/PwLfe1eaYq2EFEx7En0eNk4y3W77AfiWVTWOeDzPV38eB40DO2/u5ET0CbXjiEKSevgwMT/MBSBo8iQcfX1VTiSyScG0F4Ys+OMlyEqHsi2h3lC1E4nHVNqzNB3LdgTkKLOoMKalcWvCm2A04t21C56tW6sdSfyHFEx7sesbuL4fnL2g67cgTTh24fnqz6NBw5ZrWzgbe1btOKKARX75FZlXruAYEEDAW2+pHUfcRa41KED/vYQuNdNQYNvRRJ7CZctHaICMNh9hcA2EzEef8UKvzyLDAKmZWegUKbzmKKh9FuhahlZl2rDx6l/MPDqbKU0+tdi61SbPs9zS9+0j7uefAfCdNJkMV/c8r2Nb22cF+b6nBo1i51dGJyYm4u3tTXR0NH5+foW67ejkDOp9uLGAt6Kw3Ok9amsvsMFQlxf14wDrfyEJ82mdb+Fe9msURUPq5VEY00upHUlYmIPRwOxNn1EyJYY/Qxvyba2eakeyuFPvt8PNqfCP0WJiYihevDgJCQl4eXk91rqkSdbGNdSeprb2AmmKE2/phyLF0v4YM4LQJ9REo1Fw9l+ndhxRAJrePEbJlBjinD34oWonteNYXL0QH1x1tt9jX44wC5CiKMSkZALgqnMomNOKihGHs6vRJN0iq/5wi6xSr9ezfv1ftGvXFp1OZ5F12ruC3mfxGXHMOvYdI2qMwtu5mMXXrwZ5nv1L0etJWbMGAI+uXe97P1vdZ6b3P3U+zFvyCFPOYRYgjUZDcQ/ngt9Qje4AWGoeEr1GwdkB3Jwc0enkKWKOgt5nbk4lmNzkPYuvV03yPPsPJ0fcn+3x0LvJPlOXNMkKIYQQZpCCKYQQQphBCqYQQghhBimYQgghhBmkYAohhBBmkIIphBBCmEEKphBCCGEGKZhCCCGEGaRgCiGEEGaQgimEEEKYQQqmEEIIYQYpmEIIIYQZpGAKIYQQZpCCKYQQQphBCqYQQghhBimYQgghhBmkYAohhBBmkIIphBBCmEEKphBCCGEGKZhCCCGEGaRgCiGEEGaQgimEEEKYQQqmEEIIYQYpmEIIIYQZpGAKIYQQZpCCKYQQQpjBJgrm9OnTCQ0NxcXFhSeeeIJ9+/apHUkIIUQRY/UF89dff2XcuHG89957HDp0iJo1a9KuXTsiIyPVjiaEEKIIsfqC+eWXX/Liiy8yZMgQqlSpwsyZM3Fzc2Pu3LlqRxNCCFGEOKod4EEyMzM5ePAgb775Zs4yrVZL69at2b179z0fk5GRQUZGRs7PCQkJAMTGxhZsWDui1+tJTU0lJiYGnU6ndhybIPss/2Sf5Z/ss/zLfu9XFOWx12XVBTM6OhqDwUBAQECu5QEBAZw5c+aej/n444+ZPHlynuUVKlQokIxCCCGsX0xMDN7e3o+1DqsumI/izTffZNy4cTk/x8fHExISwtWrVx97ZxUViYmJlC5dmmvXruHl5aV2HJsg+yz/ZJ/ln+yz/EtISKBMmTL4+vo+9rqsumAWL14cBwcH7ty5k2v5nTt3CAwMvOdjnJ2dcXZ2zrPc29tbnmD55OXlJfssn2Sf5Z/ss/yTfZZ/Wu3jd9mx6k4/Tk5O1K1bl02bNuUsMxqNbNq0iUaNGqmYTAghRFFj1UeYAOPGjWPQoEHUq1ePBg0aMHXqVFJSUhgyZIja0YQQQhQhVl8we/fuTVRUFO+++y63b9+mVq1arFu3Lk9HoPtxdnbmvffeu2czrbg32Wf5J/ss/2Sf5Z/ss/yz5D7TKJboayuEEELYOas+hymEEEJYCymYQgghhBmkYAohhBBmkIIphBBCmMGuC6ZMC5Y/H3/8MfXr18fT0xN/f3+6devG2bNn1Y5lMz755BM0Gg2vvPKK2lGs2o0bNxgwYAB+fn64urpSvXp1Dhw4oHYsq2UwGJg4cSJhYWG4uroSHh7OBx98YJGxUe3J9u3b6dy5MyVLlkSj0fDHH3/k+r2iKLz77rsEBQXh6upK69atOX/+fL62YbcFU6YFy79t27YxatQo9uzZw4YNG9Dr9bRt25aUlBS1o1m9/fv3M2vWLGrUqKF2FKsWFxdHkyZN0Ol0rF27llOnTvHFF1/g4+OjdjSr9emnnzJjxgy+/fZbTp8+zaeffspnn33GtGnT1I5mVVJSUqhZsybTp0+/5+8/++wzvvnmG2bOnMnevXtxd3enXbt2pKenm78RxU41aNBAGTVqVM7PBoNBKVmypPLxxx+rmMq2REZGKoCybds2taNYtaSkJKV8+fLKhg0blObNmytjx45VO5LVGj9+vNK0aVO1Y9iUjh07KkOHDs21rHv37kr//v1VSmT9AGX58uU5PxuNRiUwMFD5/PPPc5bFx8crzs7OyqJFi8xer10eYWZPC9a6deucZQ+bFkzklT01miUGLbZno0aNomPHjrmeb+LeVq5cSb169Xj22Wfx9/endu3azJkzR+1YVq1x48Zs2rSJc+fOAXD06FF27NjB008/rXIy2xEREcHt27dzvUa9vb154okn8lUTrH6kn0fxKNOCidyMRiOvvPIKTZo0oVq1amrHsVqLFy/m0KFD7N+/X+0oNuHSpUvMmDGDcePG8dZbb7F//37GjBmDk5MTgwYNUjueVZowYQKJiYlUqlQJBwcHDAYDU6ZMoX///mpHsxm3b98GuGdNyP6dOeyyYIrHN2rUKE6cOMGOHTvUjmK1rl27xtixY9mwYQMuLi5qx7EJRqORevXq8dFHHwFQu3ZtTpw4wcyZM6Vg3sdvv/3GggULWLhwIVWrVuXIkSO88sorlCxZUvZZIbPLJtlHmRZM/Gv06NGsXr2aLVu2UKpUKbXjWK2DBw8SGRlJnTp1cHR0xNHRkW3btvHNN9/g6OiIwWBQO6LVCQoKokqVKrmWVa5cmatXr6qUyPq9/vrrTJgwgT59+lC9enWee+45Xn31VT7++GO1o9mM7Pf9x60JdlkwZVqwR6MoCqNHj2b58uVs3ryZsLAwtSNZtVatWnH8+HGOHDmS81WvXj369+/PkSNHcHBwUDui1WnSpEmeS5XOnTtHSEiISomsX2pqap65HB0cHDAajSolsj1hYWEEBgbmqgmJiYns3bs3XzXBbptkZVqw/Bs1ahQLFy5kxYoVeHp65rTte3t74+rqqnI66+Pp6Znn/K67uzt+fn5y3vc+Xn31VRo3bsxHH31Er1692LdvH7Nnz2b27NlqR7NanTt3ZsqUKZQpU4aqVaty+PBhvvzyS4YOHap2NKuSnJzMhQsXcn6OiIjgyJEj+Pr6UqZMGV555RU+/PBDypcvT1hYGBMnTqRkyZJ069bN/I1YsCev1Zk2bZpSpkwZxcnJSWnQoIGyZ88etSNZNeCeX/PmzVM7ms2Qy0oebtWqVUq1atUUZ2dnpVKlSsrs2bPVjmTVEhMTlbFjxyplypRRXFxclLJlyypvv/22kpGRoXY0q7Jly5Z7vn8NGjRIURTTpSUTJ05UAgICFGdnZ6VVq1bK2bNn87UNmd5LCCGEMINdnsMUQgghLE0KphBCCGEGKZhCCCGEGaRgCiGEEGaQgimEEEKYQQqmEEIIYQYpmEIIIYQZpGAKIYQQZpCCKYQNO3v2LIGBgSQlJRX6ttetW0etWrVkTFNRZEjBFEJFBoOBxo0b071791zLExISKF26NG+//fYDH//mm2/y8ssv4+npWZAx76l9+/bodDoWLFhQ6NsWQg0yNJ4QKjt37hy1atVizpw5OZMCDxw4kKNHj7J//36cnJzu+birV69Srlw5IiIiCA4OLszIOaZPn878+fNlAm1RJMgRphAqq1ChAp988gkvv/wyt27dYsWKFSxevJiffvrpvsUSTBML16xZM1exnD9/PsWKFWP16tVUrFgRNzc3evbsSWpqKj/++COhoaH4+PgwZsyYXPN1hoaG8uGHHzJw4EA8PDwICQlh5cqVREVF0bVrVzw8PKhRowYHDhzIlaFz584cOHCAixcvWn7HCGFlpGAKYQVefvllatasyXPPPcewYcN49913qVmz5gMf8/fff1OvXr08y1NTU/nmm29YvHgx69atY+vWrTzzzDOsWbOGNWvW8PPPPzNr1iyWLl2a63FfffUVTZo04fDhw3Ts2JHnnnuOgQMHMmDAAA4dOkR4eDgDBw7kv41SZcqUISAggL///tsyO0IIa2bZCVaEEI/q9OnTCqBUr15d0ev1D71/zZo1lffffz/Xsnnz5imAcuHChZxlw4cPV9zc3JSkpKScZe3atVOGDx+e83NISIgyYMCAnJ9v3bqlAMrEiRNzlu3evVsBlFu3buXaZu3atZVJkyaZ/4cKYaPkCFMIKzF37lzc3NyIiIjg+vXrD71/WloaLi4ueZa7ubkRHh6e83NAQAChoaF4eHjkWhYZGZnrcTVq1Mj1e4Dq1avnWXb341xdXUlNTX1oXiFsnRRMIazArl27+Oqrr1i9ejUNGjTg+eefz9X0eS/FixcnLi4uz3KdTpfrZ41Gc89ld18O8t/7aDSa+y67+3GxsbGUKFHigVmFsAdSMIVQWWpqKoMHD+all16iZcuW/PDDD+zbt4+ZM2c+8HG1a9fm1KlThZTy3tLT07l48SK1a9dWNYcQhUEKphAqe/PNN1EUhU8++QQw9Vj9v//7P9544w0uX75838e1a9eO3bt35+rtWtj27NmDs7MzjRo1Ui2DEIVFCqYQKtq2bRvTp09n3rx5uLm55SwfPnw4jRs3fmDT7NNPP42joyMbN24srLh5LFq0iP79++fKLoS9koELhLBh06dPZ+XKlaxfv77Qtx0dHU3FihU5cOAAYWFhhb59IQqbo9oBhBCPbvjw4cTHx5OUlFTow+NdvnyZ7777ToqlKDLkCFMIIYQwg5zDFEIIIcwgBVMIIYQwgxRMIYQQwgxSMIUQQggzSMEUQgghzCAFUwghhDCDFEwhhBDCDFIwhRBCCDNIwRRCCCHM8P8V/uCFdsWrLgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "density=0.60 shell=2x0.42mm\n", + " A_shell = 30.78 mm^2\n", + " L_infill = 98.68 mm\n", + " A_infill = 41.45 mm^2\n", + " A_total = 72.23 mm^2\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from math import ceil, pi\n", + "\n", + "EPS = 1e-9\n", + "\n", + "# ----------------- Prusa gyroid core -----------------\n", + "\n", + "def prusa_f(x, z_sin, z_cos, vertical, flip):\n", + " if vertical:\n", + " phase_offset = (np.pi if z_cos < 0 else 0.0) + np.pi\n", + " a = np.sin(x + phase_offset)\n", + " b = -z_cos\n", + " res = z_sin * np.cos(x + phase_offset + (np.pi if flip else 0.0))\n", + " r = np.sqrt(a*a + b*b)\n", + " return np.arcsin(a/r) + np.arcsin(res/r) + np.pi\n", + " else:\n", + " phase_offset = np.pi if z_sin < 0.0 else 0.0\n", + " a = np.cos(x + phase_offset)\n", + " b = -z_sin\n", + " res = z_cos * np.sin(x + phase_offset + (0.0 if flip else np.pi))\n", + " r = np.sqrt(a*a + b*b)\n", + " return np.arcsin(a/r) + np.arcsin(res/r) + 0.5*np.pi\n", + "\n", + "def _cross2(ax, ay, bx, by): return ax*by - ay*bx\n", + "\n", + "def make_one_period(width_units, z_cos, z_sin, vertical, flip, tol_units):\n", + " dx = np.pi/2.0\n", + " limit = min(2.0*np.pi, width_units)\n", + " xs = list(np.arange(0.0, limit-EPS, dx)) + [limit]\n", + " pts = [[x, prusa_f(x, z_sin, z_cos, vertical, flip)] for x in xs]\n", + " # refinement loop\n", + " while True:\n", + " n0 = len(pts)\n", + " new = [pts[0]]\n", + " for i in range(1, len(pts)):\n", + " lx, ly = new[-1]\n", + " rx, ry = pts[i]\n", + " xm = 0.5*(lx + rx)\n", + " ym = prusa_f(xm, z_sin, z_cos, vertical, flip)\n", + " if abs(_cross2(xm-lx, ym-ly, xm-rx, ym-ry)) > tol_units*tol_units:\n", + " new.append([xm, ym])\n", + " new.append([rx, ry])\n", + " pts = new\n", + " if len(pts) == n0: break\n", + " pts.sort(key=lambda p: p[0])\n", + " return np.asarray(pts)\n", + "\n", + "def make_wave(one_period, width_units, height_units, y0, scale_mm_per_unit,\n", + " z_cos, z_sin, vertical, flip):\n", + " pts = one_period.copy()\n", + " period = pts[-1,0]\n", + " if abs(width_units - period) > EPS:\n", + " n = len(pts)\n", + " pts = pts[:-1].tolist()\n", + " while pts[-1][0] < width_units - EPS:\n", + " src = pts[-n+1]\n", + " pts.append([src[0] + period, src[1]])\n", + " y_end = prusa_f(width_units, z_sin, z_cos, vertical, flip)\n", + " pts.append([width_units, y_end])\n", + " else:\n", + " pts = pts.tolist()\n", + "\n", + " out = []\n", + " for x,y in pts:\n", + " y = y + y0\n", + " y = min(max(y, 0.0), height_units) # clamp like Prusa\n", + " if vertical: x, y = y, x # swap *after* clamp\n", + " out.append([x*scale_mm_per_unit, y*scale_mm_per_unit])\n", + " return np.asarray(out)\n", + "\n", + "def make_gyroid_waves_prusa(z_mm, density, spacing_mm, width_mm, height_mm,\n", + " density_adjust=1.0, pattern_tolerance_mm=0.5,\n", + " pad_modules=int(ceil(2.0*np.pi))):\n", + " \"\"\"\n", + " Returns list of polylines (Nx2 arrays) in mm (NOT clipped).\n", + " \"\"\"\n", + " dens = max(0.0, density * density_adjust)\n", + " if dens <= 0.0: return []\n", + "\n", + " scale = spacing_mm / dens # mm per “unit”\n", + " tol_units = min(spacing_mm/2.0, pattern_tolerance_mm) / scale\n", + "\n", + " # z in “units”\n", + " z = z_mm / scale\n", + " z_sin, z_cos = np.sin(z), np.cos(z)\n", + "\n", + " # Prusa-like module counts (ceil + 1)\n", + " modules_x = int(ceil(width_mm / scale)) + 1\n", + " modules_y = int(ceil(height_mm / scale)) + 1\n", + "\n", + " # emulate align_to_grid padding (2π “modules”)\n", + " Wm = modules_x + pad_modules\n", + " Hm = modules_y + pad_modules\n", + "\n", + " vertical = (abs(z_sin) <= abs(z_cos))\n", + " lower, upper = 0.0, Hm\n", + " flip = True\n", + " if vertical:\n", + " flip = False\n", + " lower = -np.pi\n", + " upper = Wm - np.pi/2.0\n", + " Wm, Hm = Hm, Wm # swap like the C++ after computing bounds\n", + "\n", + " odd = make_one_period(Wm, z_cos, z_sin, vertical, flip, tol_units)\n", + " flip = not flip\n", + " even = make_one_period(Wm, z_cos, z_sin, vertical, flip, tol_units)\n", + "\n", + " lines = []\n", + " y0 = lower\n", + " while y0 < upper + EPS:\n", + " lines.append(make_wave(odd, Wm, Hm, y0, scale, z_cos, z_sin, vertical, flip))\n", + " y0 += np.pi\n", + " if y0 < upper + EPS:\n", + " lines.append(make_wave(even, Wm, Hm, y0, scale, z_cos, z_sin, vertical, flip))\n", + " y0 += np.pi\n", + "\n", + " # translate back by the padding so the original box sits inside\n", + " shift_mm = pad_modules * scale\n", + " for i in range(len(lines)):\n", + " lines[i][:,0] -= shift_mm\n", + " lines[i][:,1] -= shift_mm\n", + " return lines\n", + "\n", + "# ----------------- rectangle clipping & length -----------------\n", + "\n", + "INSIDE, LEFT, RIGHT, BOTTOM, TOP = 0, 1, 2, 4, 8\n", + "\n", + "def _outcode(x, y, xmin, ymin, xmax, ymax):\n", + " code = INSIDE\n", + " if x < xmin: code |= LEFT\n", + " elif x > xmax: code |= RIGHT\n", + " if y < ymin: code |= BOTTOM\n", + " elif y > ymax: code |= TOP\n", + " return code\n", + "\n", + "def _clip_segment(x0, y0, x1, y1, xmin, ymin, xmax, ymax):\n", + " c0 = _outcode(x0, y0, xmin, ymin, xmax, ymax)\n", + " c1 = _outcode(x1, y1, xmin, ymin, xmax, ymax)\n", + " while True:\n", + " if not (c0 | c1):\n", + " return x0, y0, x1, y1, True\n", + " if c0 & c1:\n", + " return 0, 0, 0, 0, False\n", + " c = c0 or c1\n", + " if c & TOP:\n", + " x = x0 + (x1 - x0) * (ymax - y0) / (y1 - y0); y = ymax\n", + " elif c & BOTTOM:\n", + " x = x0 + (x1 - x0) * (ymin - y0) / (y1 - y0); y = ymin\n", + " elif c & RIGHT:\n", + " y = y0 + (y1 - y0) * (xmax - x0) / (x1 - x0); x = xmax\n", + " else:\n", + " y = y0 + (y1 - y0) * (xmin - x0) / (x1 - x0); x = xmin\n", + " if c == c0:\n", + " x0, y0 = x, y; c0 = _outcode(x0, y0, xmin, ymin, xmax, ymax)\n", + " else:\n", + " x1, y1 = x, y; c1 = _outcode(x1, y1, xmin, ymin, xmax, ymax)\n", + "\n", + "def _clip_polylines_to_rect(lines, xmin, ymin, xmax, ymax):\n", + " out = []\n", + " for P in lines:\n", + " if len(P) < 2: continue\n", + " cur = []\n", + " for i in range(len(P)-1):\n", + " x0,y0 = P[i]\n", + " x1,y1 = P[i+1]\n", + " x0c,y0c,x1c,y1c,ok = _clip_segment(x0,y0,x1,y1,xmin,ymin,xmax,ymax)\n", + " if not ok:\n", + " if cur: out.append(np.array(cur)); cur=[]\n", + " continue\n", + " if not cur:\n", + " cur = [[x0c,y0c],[x1c,y1c]]\n", + " else:\n", + " if abs(cur[-1][0]-x0c) > 1e-9 or abs(cur[-1][1]-y0c) > 1e-9:\n", + " out.append(np.array(cur)); cur=[[x0c,y0c],[x1c,y1c]]\n", + " else:\n", + " cur.append([x1c,y1c])\n", + " if cur: out.append(np.array(cur))\n", + " return out\n", + "\n", + "def _total_length_mm(lines):\n", + " L = 0.0\n", + " for P in lines:\n", + " if len(P) < 2: continue\n", + " d = np.diff(P, axis=0)\n", + " L += float(np.sum(np.hypot(d[:,0], d[:,1])))\n", + " return L\n", + "\n", + "# ----------------- area calculator with shell -----------------\n", + "\n", + "def compute_areas_with_shell(width_mm, height_mm,\n", + " z_mm, spacing_mm, density,\n", + " line_width_mm,\n", + " shell_perimeters=2,\n", + " density_adjust=1.0,\n", + " pattern_tolerance_mm=0.5,\n", + " phase_shift_mm=(0.0, 0.0)):\n", + " \"\"\"\n", + " Returns a dict with:\n", + " A_shell, A_infill, A_total, L_infill, lines_infill (clipped), inner_box (x0,y0,W_in,H_in)\n", + " \"\"\"\n", + " # --- exact rectangular shell area ---\n", + " t = shell_perimeters * line_width_mm\n", + " W_in = max(0.0, width_mm - 2.0*t)\n", + " H_in = max(0.0, height_mm - 2.0*t)\n", + " A_shell = width_mm*height_mm - (W_in * H_in)\n", + "\n", + " # --- generate waves and clip to the inner rectangle ---\n", + " if W_in <= 0.0 or H_in <= 0.0:\n", + " # no infill area remains\n", + " return {\n", + " \"A_shell\": A_shell,\n", + " \"A_infill\": 0.0,\n", + " \"A_total\": A_shell,\n", + " \"L_infill\": 0.0,\n", + " \"lines_infill\": [],\n", + " \"inner_box\": (0.0, 0.0, 0.0, 0.0)\n", + " }\n", + "\n", + " # generate full pattern (unclipped)\n", + " raw = make_gyroid_waves_prusa(\n", + " z_mm, density, spacing_mm, width_mm, height_mm,\n", + " density_adjust=density_adjust, pattern_tolerance_mm=pattern_tolerance_mm\n", + " )\n", + "\n", + " # Optional small phase shift to avoid degenerate lines exactly on borders\n", + " if phase_shift_mm != (0.0, 0.0):\n", + " dx, dy = phase_shift_mm\n", + " raw = [P + np.array([dx, dy]) for P in raw]\n", + "\n", + " # clip to inner rect [t, t] – [t+W_in, t+H_in]\n", + " lines_infill = _clip_polylines_to_rect(raw, t, t, t + W_in, t + H_in)\n", + "\n", + " # area ≈ total extruded length × line width\n", + " L_infill = _total_length_mm(lines_infill)\n", + " A_infill = L_infill * line_width_mm\n", + " A_total = A_shell + A_infill\n", + "\n", + " return {\n", + " \"A_shell\": A_shell,\n", + " \"A_infill\": A_infill,\n", + " \"A_total\": A_total,\n", + " \"L_infill\": L_infill,\n", + " \"lines_infill\": lines_infill,\n", + " \"inner_box\": (t, t, W_in, H_in)\n", + " }\n", + "\n", + "# ----------------- example -----------------\n", + "if __name__ == \"__main__\":\n", + " # Your test values:\n", + " W = H = 10.0\n", + " z = 11.8\n", + " spacing = 0.15\n", + " line_w = 0.42\n", + " perims = 2\n", + "\n", + " for d in (0.10, 0.15, 0.60):\n", + " res = compute_areas_with_shell(\n", + " width_mm=W, height_mm=H,\n", + " z_mm=z, spacing_mm=spacing, density=d,\n", + " line_width_mm=line_w, shell_perimeters=perims,\n", + " density_adjust=1.0, pattern_tolerance_mm=0.5,\n", + " phase_shift_mm=(0.01, 0.0) # tiny shift so lines don't land on the frame\n", + " )\n", + " print(f\"density={d:.2f} shell={perims}x{line_w:.2f}mm\")\n", + " print(f\" A_shell = {res['A_shell']:.2f} mm^2\")\n", + " print(f\" L_infill = {res['L_infill']:.2f} mm\")\n", + " print(f\" A_infill = {res['A_infill']:.2f} mm^2\")\n", + " print(f\" A_total = {res['A_total']:.2f} mm^2\")\n", + "\n", + " # Optional: plot the infill inside the shell\n", + " import matplotlib.pyplot as plt\n", + " plt.figure(figsize=(5,5))\n", + " # draw shell rectangle\n", + " t = perims*line_w\n", + " plt.plot([t, t+res[\"inner_box\"][2], t+res[\"inner_box\"][2], t, t],\n", + " [t, t, t+res[\"inner_box\"][3], t+res[\"inner_box\"][3], t])\n", + " for P in res[\"lines_infill\"]:\n", + " if len(P) >= 2:\n", + " plt.plot(P[:,0], P[:,1])\n", + " plt.xlim(0, W); plt.ylim(0, H); plt.gca().set_aspect('equal'); plt.grid(True)\n", + " plt.title(f\"Gyroid infill inside {perims} perimeters, d={d:.2f}\")\n", + " plt.xlabel(\"X (mm)\"); plt.ylabel(\"Y (mm)\")\n", + " plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "8e7aaee9-297a-4965-aa76-aaddb440b105", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Infill max area: 53.76 mm² at z = 13.94 mm\n", + "Infill min area: 41.21 mm² at z = 0.00 mm\n", + "Shell area: 30.78 mm²\n", + "Infill area ratio: 30.44 %\n", + "Infill area ratio: 30.44 %\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.signal import argrelextrema\n", + "\n", + "# Parameters (same as before)\n", + "width = 10.0\n", + "height = 10.0\n", + "infill_fraction = 0.6\n", + "shell_layers = 2\n", + "line_thickness = 0.42\n", + "spacing_mm = 0.15 # Prusa “module size”\n", + "z_heights = np.linspace(0, 20, 100)\n", + "\n", + "# Data storage\n", + "areas = []\n", + "shell_areas = []\n", + "infill_areas = []\n", + "lengths = []\n", + "\n", + "# Loop using Prusa model\n", + "for z in z_heights:\n", + " result = compute_areas_with_shell(\n", + " width_mm=width,\n", + " height_mm=height,\n", + " z_mm=z,\n", + " spacing_mm=spacing_mm,\n", + " density=infill_fraction,\n", + " line_width_mm=line_thickness,\n", + " shell_perimeters=shell_layers,\n", + " density_adjust=1.0,\n", + " pattern_tolerance_mm=0.5,\n", + " phase_shift_mm=(0.05, 0.0)\n", + " )\n", + "\n", + " areas.append(result[\"A_total\"])\n", + " shell_areas.append(result[\"A_shell\"])\n", + " infill_areas.append(result[\"A_infill\"])\n", + " lengths.append(result[\"L_infill\"])\n", + "\n", + "# Convert to NumPy for analysis\n", + "z_np = np.array(z_heights)\n", + "areas_np = np.array(areas)\n", + "shell_areas_np = np.array(shell_areas)\n", + "infill_areas_np = np.array(infill_areas)\n", + "lengths_np = np.array(lengths)\n", + "\n", + "# Analyze\n", + "i_max = np.argmax(infill_areas_np)\n", + "i_min = np.argmin(infill_areas_np)\n", + "print(f\"Infill max area: {infill_areas_np[i_max]:.2f} mm² at z = {z_np[i_max]:.2f} mm\")\n", + "print(f\"Infill min area: {infill_areas_np[i_min]:.2f} mm² at z = {z_np[i_min]:.2f} mm\")\n", + "print(f\"Shell area: {shell_areas_np[i_min]:.2f} mm²\")\n", + "#infill_peak_area_ratio = (infill_areas_np[i_max] / infill_areas_np[i_min] - 1) * 100\n", + "if infill_areas_np[i_min] > 1e-6:\n", + " infill_peak_area_ratio = (infill_areas_np[i_max] / infill_areas_np[i_min] - 1) * 100\n", + " print(f\"Infill area ratio: {infill_peak_area_ratio:.2f} %\")\n", + "else:\n", + " print(\"Infill min area is zero — cannot compute ratio.\")\n", + "\n", + "print(f\"Infill area ratio: {infill_peak_area_ratio:.2f} %\")\n", + "\n", + "# Plot\n", + "fig, axs = plt.subplots(2, 1, figsize=(10, 8), sharex=True)\n", + "\n", + "axs[0].plot(z_np, areas_np, label=\"Total Area\", linewidth=2)\n", + "axs[0].plot(z_np, shell_areas_np, label=\"Shell Area\", linestyle='--')\n", + "axs[0].plot(z_np, infill_areas_np, label=\"Infill Area\", linestyle='-.')\n", + "axs[0].set_ylabel(\"Area (mm²)\")\n", + "axs[0].legend()\n", + "axs[0].set_title(f\"Prusa Gyroid Area vs Z Height (density={infill_fraction:.2f})\")\n", + "\n", + "axs[1].plot(z_np, lengths_np, label=\"Infill Line Length\", linewidth=2)\n", + "axs[1].set_ylabel(\"Length (mm)\")\n", + "axs[1].set_xlabel(\"Z Height (mm)\")\n", + "axs[1].set_title(\"Infill Line Length vs Z Height\")\n", + "axs[1].legend()\n", + "\n", + "plt.tight_layout()\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "917f72f0-a1b9-43dd-8294-bc40df50411a", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.13.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/software/Untitled.ipynb b/software/Untitled.ipynb new file mode 100644 index 0000000..09c5fd4 --- /dev/null +++ b/software/Untitled.ipynb @@ -0,0 +1,439 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "206a681f-a3b4-430d-8e88-d4b11a9f32d0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Radial equal-area infill ===\n", + "Slice @ z : 0.00 mm\n", + "Area fraction (target) : 0.300\n", + "Filled area : 183.617 mm²\n", + "Centroid (x̄,ȳ) : ( -0.00 , -0.00) mm\n", + "Ix , Iy : 7617.569 , 7617.569 mm⁴\n", + "|Ix − Iy| / Ix : 1.19e-16\n", + "Ixy : -0.000 mm⁴\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Radial equal-area infill ===\n", + "Slice @ z : 2.50 mm\n", + "Area fraction (target) : 0.300\n", + "Filled area : 183.637 mm²\n", + "Centroid (x̄,ȳ) : ( -0.00 , -0.00) mm\n", + "Ix , Iy : 7825.814 , 7825.814 mm⁴\n", + "|Ix − Iy| / Ix : 0.00e+00\n", + "Ixy : -0.000 mm⁴\n", + "\n" + ] + }, + { + "data": { + "image/png": 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8TBMUFFRgOuNA8f3796NDhw6m6fv374fBYDB97+Hhgccffxz79+/Ps4y9e/eiatWqhQ46VoqzZ8+iVq1ars4G5cJbyMnlWrRogcaNG2POnDmmLmrjGdTDZ0x79+5FcnKy2bwdOnRAdna22W3fOTk5+T5Z9WGW1pGammr1QTy3l19+GZ6enoiPj89zpieEwM2bNwE8uOMkKCgICxYsMOvSX7x4cZ5gplq1agCAnTt3mqbl5OTkufxjqSxCCHzyySeF5rtRo0Zo06aN6c84rsbT0xMajcasZ+DcuXNYu3Ztocs0zt+1a1esXr0ax44dy/P9jRs3Csy/pe0tkyZNmgBAngP8sWPH8Oqrr6JPnz548803bVrmsmXLkJSUVOjfw4GwJWlpaXkuIQkh8P777wN4MKbKKD09HSdPnjQbc9WqVSsEBgbmeRzD/Pnz4evra3ZnXrdu3fDHH3+Y/Q6nTp3C1q1bERUVZVP5XengwYOIjIx0dTYoF/bkkCKMGTMGUVFRWLx4MV5//XW88MILWLNmDV566SV07NgRZ8+exYIFC1C7dm2zZ3a8+OKLeOaZZzBu3DicO3cOtWvXxpo1awocg2L03HPPwcvLCy+++CJee+013L17F19++SXKlStnsfu8MNWqVcP777+PuLg4nDt3Dl26dEHp0qVx9uxZ/PDDDxg0aBDeeustaLVavP/++3jttdfQqlUr9OjRA2fPnkVCQkKeMTl16tTB008/jbi4ONy6dQuBgYFYvnw5srOzzdKFh4ejWrVqeOutt3D58mX4+flh9erVxRp70rFjR8yaNQvt27dH7969cf36dcybNw/Vq1fHkSNHrFrGtGnTsG3bNkRERCA2Nha1a9fGrVu3cPDgQWzZssV02cPa7S2TqlWrom7dutiyZYvZLdQDBgwAADRr1gxLly41mycyMrLAcVv2GpNz8OBB9OrVC7169UL16tWRkZGBH374Ab/99hsGDRpkdtv7vn370LJlS7PeIR8fH0yZMgVDhw5FVFQU2rVrh127dmHp0qX44IMPEBgYaJp/yJAh+PLLL9GxY0fT/jFr1iwEBwdj9OjRdimPox04cAC3bt1C586dXZ0VyoVBDinCyy+/jGrVqmHmzJmIjY1F//79cfXqVXzxxRfYvHkzateujaVLl2LlypVmD8Dz8PDA+vXrMWLECCxduhQajQadOnXCxx9/jAYNGhS4zpo1a2LVqlUYP3483nrrLYSEhGDw4MEICgqy+NwOa4wbNw6PPfYYZs+ejfj4eAAPxjE899xz6NSpkyndoEGDkJOTg48++ghjxozB448/jvXr1+O9997Ls8xly5bhtddew7Rp0xAQEICYmBi0bNkSbdu2NaXRarX48ccf8cYbb2Dq1Knw9vbGSy+9hGHDhpld/rJFq1atsGjRIkybNg0jRoxAlSpVMH36dJw7d87qICc4OBj79u3D5MmTsWbNGnz++ecoU6YM6tSpg+nTp5vSWbu9ZTNw4EBMmDABGRkZprEcN27cwL179zBo0KA86S0Fwo4QFhaGpk2b4ocffsDVq1fh4eGBWrVqYcGCBRbzZcmQIUOg1Wrx8ccfY/369QgNDcXs2bPz9E6VLl0a27dvx8iRI/H+++/DYDCgRYsWmD17dqGXxZRi5cqVqFSpEp92rEAaoYQReEQEAKYn7Mp8YKf/SU1NRdWqVTFjxgzExMS4OjtUBJmZmahcuTLGjRtn8+VFcjyOySEichF/f3+8/fbb+Oijj2y+m4+UISEhAVqtFq+//rqrs0IWsCeHSEHYk0NEZD/sySEiIiIpsSeHiIiIpMSeHCIiIpISgxwiIiKSEoMcIpLetWvX0K1bN5QpUwYajQZz5szJN61GoynSKw+ISHkY5BBJaOTIkWjYsCECAwPh6+uLWrVqYdKkSRafHpyZmYmxY8eiQoUK8PHxQUREhFXvvDK6fPkyunfvjoCAAPj5+aFz586mdxw9vI7hw4cjKCgIFStWNL0e4GGXLl1CqVKl8Ntvv9le4EKMHDkSmzdvRlxcHL799lu0b9/e7uuQRYsWLVC3bl1XZ8Oi/v37F+nFouS++MRjIgn98ccfaNq0KQYMGABvb28cOnQI06ZNw5YtW7Bz5054ePzv/KZ///5YtWoVRowYgRo1amDx4sXo0KEDtm3bhmeffbbA9dy9exctW7ZEamoq3nnnHWi1WsyePRvNmzfH4cOHUaZMGQDARx99hG+++Qbvvvsu7ty5g8mTJ6NatWro1auXaVljxoxBp06d7PZqgodt3boVnTt3xltvvVVo2oyMDJQowaaRSAqCiCy6e/euq7NgVzNnzhQARHJysmna3r17BQDx0UcfmaZlZGSIatWqiSZNmhS6zOnTpwsAYt++faZpJ06cEJ6eniIuLs40LSIiQsTHx5s+R0dHi549e5o+79q1S5QsWVJcvHixyOUriEajEUOHDnXIsp0tIyND5OTkOGz5zZs3F3Xq1HHY8osjOjpalCxZ0tXZIBXh5SqS2vnz5zFkyBDUrFkTPj4+KFOmDKKionDu3DmzdIsXL4ZGo8GOHTswZMgQlCtXDhUrVjR9v3HjRjRt2hQlS5ZE6dKl0bFjRxw/ftxsGUeOHEH//v1RtWpVeHt7IyQkBAMHDjS9fdzVKleuDABmbzpftWoVPD09zd5H5O3tjZiYGCQnJ+PixYsFLnPVqlV46qmn8NRTT5mmhYeHo3Xr1lixYoVpWkZGBh555BHT58DAQKSnpwMADAYD3nzzTbz99ttmv7k1/vnnH0RFRZkuyz399NP4+eefTd8bt6sQAvPmzYNGo4FGoylwmbnH5EyaNAkajQanT59G//79ERAQAH9/fwwYMMBUhofnHTZsGNauXYu6detCp9OhTp062LRpU571XL58GQMHDkRwcLAp3ddff22WZvv27dBoNFi+fDnGjx+PRx99FL6+vkhLSwMAnDlzBmfOnLHpN7NVQkICNBpNnrx9+OGH0Gg02LBhg0PXX5Do6GiULVsWer0+z3fPPfccatas6YJckZKwT5ak9scff2DPnj3o2bMnKlasiHPnzmH+/Plo0aIF/vrrL/j6+pqlHzJkCIKCgjBhwgTcu3cPAPDtt98iOjoa7dq1w/Tp05Geno758+fj2WefxaFDh0zBQ1JSEv755x8MGDAAISEhOH78OBYuXIjjx4/j999/L/Tg+t9//1lVptKlS0On0xWaLjs7GykpKcjKysKxY8cwfvx4lC5dGo0bNzalOXToEB577DH4+fmZzWtMc/jwYYSGhlpcvsFgwJEjRyy+zLRx48b45ZdfcOfOHZQuXRpPPfUUFi5ciBYtWuDu3bv47rvvMGzYMADAokWL8N9//2HMmDFWld/o2rVriIyMRHp6Ot544w2UKVMGS5YsQadOnbBq1Sq89NJLaNasGb799lv07dsXbdu2Rb9+/Wxax8O6d++OKlWqYOrUqTh48CC++uorlCtXzuxFowCwe/durFmzBkOGDEHp0qXx6aefomvXrrhw4YLp8t21a9fw9NNPm4KioKAgbNy4ETExMUhLS8OIESPMljllyhR4eXnhrbfeQmZmJry8vAAArVu3BoA8Qbs9DRgwAGvWrMGoUaPQtm1bhIaG4ujRo4iPj0dMTAw6dOhg1XJSUlJw9epVVKxY0eK4msuXL+PRRx+1KW99+/bFN998g82bN+OFF14wTb969Sq2bt2KiRMn2rQ8kpCru5KIHCk9PT3PtOTkZAFAfPPNN6ZpCQkJAoB49tlnRXZ2tmn6nTt3REBAgIiNjTVbxtWrV4W/v7/ZdEvr+u677wQAsXPnzkLzCsCqv4SEBGuKbiqn8a9mzZpi27ZtZmnq1KkjWrVqlWfe48ePCwBiwYIF+S7/xo0bAoCYPHlynu/mzZsnAIiTJ08KIYS4ePGiqFOnjikvTZs2FXfu3BEpKSkiKChILF++3KoyPWzEiBECgNi1a5dp2p07d0SVKlVE5cqVzS7pALD6chUAMXHiRNPniRMnCgBi4MCBZuleeuklUaZMmTzzenl5idOnT5um/fnnnwKAmDt3rmlaTEyMKF++vPjvv//M5u/Zs6fw9/c31aVt27YJAKJq1aoW61dYWJgICwuzqlzWsnS56sqVKyIwMFC0bdtWZGZmigYNGohKlSqJ1NTUQpd38eJF0bVrV+Hh4SEACK1WK9q3by+WLFkizpw5I/766y/x7rvvimeeeabQZeW+XJWTkyMqVqwoevToYZZu1qxZQqPRiH/++cfKUpOs2JNDUvPx8TH9X6/XIy0tDdWrV0dAQAAOHjyIvn37mqWPjY2Fp6en6XNSUhJSUlLQq1cvs54WT09PREREYNu2bRbXdf/+fdy9exdPP/00AODgwYNo2rRpgXm19o6mOnXqWJWudu3aSEpKwr1797Bnzx5s2bIlz91VGRkZFnuFvL29Td/nx/idNfNXrFgRhw4dwvHjx+Hl5YXw8HB4eHhg1KhRqFmzJnr06IHdu3dj9OjR+Pfff/HSSy9h5syZph4LSzZs2IDGjRubDY4uVaoUBg0ahLi4OPz11192vUso9wsYmzZtih9++AFpaWlmPWFt2rRBtWrVTJ/r1asHPz8/0x1nQgisXr0a3bt3hxDCrF61a9cOy5cvx8GDB80GYEdHR5vVLyNH9uA8LCQkBPPmzUOvXr3QtGlTHD58GElJSXl6AC2Jj4/HvXv3sHr1apQrVw4HDx7EihUr0L9/f4j//8D9atWqYd68eTbny8PDA6+88go+/fRTU68hACxbtgyRkZGoUqWKzcskuTDIIallZGRg6tSpSEhIwOXLl02NKgCkpqbmSZ+7Ufz7778BAK1atbK4/Icb+Vu3biE+Ph7Lly/H9evXzdJZWldubdq0KTSNLfz8/EzL7Ny5MxITE9G5c2ccPHgQTzzxBIAHgVlmZmaeee/fv2/6Pj/G76ydX6vVon79+qbPJ0+exOeff449e/bg1q1b6NixI8aNG4eWLVtiwIAB+OCDDxAfH5/v+s+fP4+IiIg802vVqmX63p5BTqVKlcw+G8cY3b5926we5E5nTHv79m0AwI0bN5CSkoKFCxdi4cKFFteVu/4o4WDds2dPLF26FD///DMGDRpkulRWmFGjRpm2CQBERkZi2LBhuHz5Mo4dO4ZHHnkEjRo1QnZ2dpHy1a9fP0yfPh0//PAD+vXrh1OnTuHAgQNYsGBBkZZHcmGQQ1IbPnw4EhISMGLECDRp0gT+/v7QaDTo2bMnDAZDnvS5D+rGNN9++y1CQkLypH/4VuPu3btjz549GDNmDOrXr49SpUrBYDCgffv2FteV29WrV60qk7+/f4HBR35efvll9O3bF8uXLzcFOeXLl8fly5fzpL1y5QoAoEKFCvkuLzAwEDqdzpTW1vlHjhyJPn36oGHDhvj2228RGBiIuLg4AMDbb79daJDjbA/38D1M5Hr9X2HpjHWhT58+iI6Otpi2Xr16Zp+Lsr3t7ebNm9i/fz8A4K+//oLBYDB7FEF+ypcvj7FjxyIxMRFXrlxBWFgYOnTogC5duiAyMhJZWVn48ssvsX79+iINYq5duzYaNWqEpUuXol+/fli6dCm8vLzQvXt3m5dF8mGQQ1JbtWoVoqOj8fHHH5um3b9/3+wOo4IYLzuUK1euwJ6W27dv49dff0V8fDwmTJhgmm7sCbJG+fLlrUqXkJCA/v37W71co8zMTBgMBrNepfr162Pbtm15Lrns3bvX9H1+PDw88Pjjj5sOfA/bu3cvqlatarp8kNtPP/2EPXv2mH6ff//916z8FSpUsBh8PSwsLAynTp3KM/3kyZOm75UoKCgIpUuXRk5Ojt177xxp6NChuHPnDqZOnYq4uDjMmTMHo0aNKnS+t99+G3/++ScmT56M4OBgHDhwAN999x0+++wzU5py5crh008/LXLe+vXrh1GjRuHKlStITExEx44dze7mI/fFIIek5unpmedMe+7cucjJybFq/nbt2sHPzw8ffvghWrZsCa1Wa/b9jRs3EBQUZDp7z72ugl4fkJu9xuSkpKSgZMmSefL61VdfAQCefPJJ07Ru3bph5syZWLhwoelBeZmZmUhISEBERITZnVUXLlxAeno6wsPDzeYfN24c9u/fb1ruqVOnsHXr1nwfvJeVlYVRo0Zh/PjxKFeuHAAgODgYp0+fRnZ2NkqUKIETJ05Y7Dl7WIcOHTBnzhwkJyejSZMmAIB79+5h4cKFqFy5MmrXrl3g/K7i6emJrl27IjExEceOHctzSc1Yp5Rk1apV+P777/Hpp59i+PDh+PPPPzF+/Hi88MILeOyxxwqcNzY2Fk8++aTp7sIOHTrgvffew/Hjx02Xq5o1a2Yax1UUvXr1wujRo/Hmm2/in3/+wUcffVTkZZFcGOSQ1F544QV8++238Pf3R+3atZGcnIwtW7aYbuUtjJ+fH+bPn4++ffuiYcOG6NmzJ4KCgnDhwgX8/PPPeOaZZ/DZZ5/Bz88PzZo1w4wZM6DX6/Hoo4/il19+wdmzZ63Oq73O6rdv34433ngD3bp1Q40aNZCVlYVdu3ZhzZo1ePLJJ9GnTx9T2oiICERFRSEuLg7Xr19H9erVsWTJEpw7dw6LFi0yW26/fv2wY8cOs0BuyJAh+PLLL9GxY0e89dZb0Gq1mDVrFoKDgzF69GiL+fvkk08AAG+++aZpWocOHTB06FD07t0bkZGRmDJlCl599dUCyzlu3Dh89913eP755/HGG28gMDAQS5YswdmzZ7F69WqrLqW4yrRp07Bt2zZEREQgNjYWtWvXxq1bt3Dw4EFs2bIFt27dsmo5xscXOHIA8vXr1zF48GC0bNnSdNv/Z599hm3btqF///7YvXt3gb/1w89QelidOnWsHkRfmKCgILRv3x4rV65EQEAAOnbsaJflkgRcdl8XkRPcvn1bDBgwQJQtW1aUKlVKtGvXTpw8eVKEhYWJ6OhoUzrjLeR//PGHxeVs27ZNtGvXTvj7+wtvb29RrVo10b9/f7F//35TmkuXLomXXnpJBAQECH9/fxEVFSX+/fffPLckO9rp06dFv379RNWqVYWPj4/w9vYWderUERMnTrT4FOeMjAzx1ltviZCQEKHT6cRTTz0lNm3alCdd8+bNhaUm4+LFi6Jbt27Cz89PlCpVSrzwwgvi77//tpi3q1evitKlS4v169fn+W7jxo0iPDxcBAQEiH79+ol79+4VWtYzZ86Ibt26iYCAAOHt7S0aN24sfvrppzzpYIdbyG/cuGGWzlhnzp49W+h6ctc3IYS4du2aGDp0qAgNDRVarVaEhISI1q1bi4ULF5rSGG8hX7lypcW8li1bVjz99NNWlctauW8hf/nll0Xp0qXFuXPnzNKtW7dOABDTp0+36/oLUtATj1esWCEAiEGDBjktP6R8GiFy9a8TEZHi/fXXX6hTpw5++ukn9lwAWLduHbp06YKdO3cW+rgGch/K7c8lIqJ8bdu2DU2aNGGA8/99+eWXqFq1aqEvlSX3wp4cIiJSreXLl+PIkSOYOnUqPvnkE7zxxhuuzhIpCIMcIiJSLY1Gg1KlSqFHjx5YsGCB2bOriFR1uWrnzp148cUXUaFCBWg0Gqxdu9bseyEEJkyYgPLly8PHxwdt2rSx6jkl8+bNQ+XKleHt7Y2IiAjs27fPQSUgIiJ7EkLgzp07+OqrrxjgUB6qCnLu3buHJ554It93nMyYMQOffvopFixYgL1796JkyZJo166d6RHzlnz//fcYNWoUJk6caHrcfbt27fI8Vp2IiIjURbWXqzQaDX744Qd06dIFwINovkKFChg9erTpIWSpqakIDg7G4sWL0bNnT4vLiYiIwFNPPWV6+qbBYEBoaCiGDx+OcePGOaUsREREZH/S9O2dPXsWV69eNXugmr+/PyIiIpCcnGwxyMnKysKBAwdM78sBHjyqvk2bNkhOTs53XZmZmWYvJTQYDLh16xbKlCljeqonERERWWa8zFihQgWHPrhTmiDH+HLD4OBgs+nBwcH5vvjwv//+Q05OjsV5jO+/sWTq1KmKenEgERGRGl28eBEVK1Z02PKlCXKcKS4uzuzFdKmpqahUqRLaBLwMZKpqmJPVtN6e6DuvM74dug76+9a990mNWE65uEM53aGMAMspHZ0BW1LW5PsSX3uRJsgxvszv2rVrZm8zvnbtWr5vUi5btiw8PT1x7do1s+nXrl0r8OWAOp0OOp0u7xeZHkD+Y5zVTeMBX1/f/19GiXc8llMu7lBOdygjwHJK50GHgKOHeEjT7VClShWEhITg119/NU1LS0vD3r17TW8ozs3LywuNGjUym8dgMODXX3/Ndx4iIiJSB1X15Ny9exenT582fT579iwOHz6MwMBAVKpUCSNGjMD777+PGjVqoEqVKnjvvfdQoUIF0x1YANC6dWu89NJLprfpjho1CtHR0XjyySfRuHFjzJkzB/fu3cOAAQOcXTwiIiKyI1UFOfv370fLli1Nn43jYqKjo7F48WK8/fbbuHfvHgYNGoSUlBQ8++yz2LRpE7y9vU3znDlzBv/995/pc48ePXDjxg1MmDABV69eRf369bFp06Y8g5GJiIhIXVQV5LRo0QIFPdZHo9Fg8uTJmDx5cr5pzp07l2fasGHDTD07REREJAdpxuQQERERPYxBDhEREUmJQQ4RERFJiUEOERERSYlBDhEREUmJQQ4RERFJiUEOERERSYlBDhEREUmJQQ4RERFJiUEOERERSYlBDhEREUmJQQ4RERFJiUEOERERSYlBDhEREUmJQQ4RERFJiUEOERERSYlBDhEREUmJQQ4RERFJiUEOERERSYlBDhEREUmphKszQEWTZFjp1PXp9Xps2LAB61KWQKvVOnXdziRrOdt6RLk6C+Qizm4rHEXWfTM3V5dTtraCQQ6RhGRrqKjoctcFWYIeImswyCGSBAMbssbD9YQBD8mOQQ6RyjG4oaIy1h0GOyQrBjlEKsOghuyNl7RIVry7ioiIiKTEnhwiFWDvDTkTx+2QLBjkECkUAxtSAgY8pGYMcogUhsENKRUHKpPaMMghUgAGNqQm7N0htWCQQ+QiDGxIBgx4SMkY5BA5GYMbkhUvZ5HS8BZyIiIikhJ7coichD045C7Yo0NKwSCHyIEY2JA743gdcjUGOUQOwOCGyBx7d8gVGOQQ2RGDG6KCMdghZ2KQQ1RMDGyIbMdLWeQMvLuKqBgY4BAVH/cjchT25BAVARtlIvviZSxyBPbkEBERkZTYk0NkA/bgEDkWe3TInhjkEFmBwQ2RczHYIXtgkENUAAY3RK5l3Ac3ZCa6OCekRgxyiCzoHBANfYbe1dlwa/Y4g9fr9diwYQPWpSyBVqst9vIY9LpO54BovJbYw9XZIJVhkENETqfWSxDW5JuBkGN1DojGhnvs1SHrSBXkVK5cGefPn88zfciQIZg3b16e6YsXL8aAAQPMpul0Oty/f99heSRlMh6YtD5ani3aiVoDmeIqqNwMgOyDDxIka0kV5Pzxxx/IyckxfT527Bjatm2LqKj8GxY/Pz+cOnXK9Fmj0Tg0j0REROQcUgU5QUFBZp+nTZuGatWqoXnz5vnOo9FoEBIS4uiskYLx7Lr4eDZtHUu/E+tf8bT1iGL9o3xJFeQ8LCsrC0uXLsWoUaMK7J25e/cuwsLCYDAY0LBhQ3z44YeoU6dOgcvOzMxEZmam6XNaWhoAQOvtCWic83xFvd65g2KN63P2eh2tc0A0tD7/G5Cq9Slh9q+silrOdSlLLE5Xar1QQ73N766hzgHRVs3POgt0KNk737qpNq6usw+3hw6lMwAZjl+NRgghHL8a51uxYgV69+6NCxcuoEKFChbTJCcn4++//0a9evWQmpqKmTNnYufOnTh+/DgqVqyY77InTZqE+Pj4PNMTExPh6+trtzIQERHJKD09Hb1790Zqair8/Pwcth5pg5x27drBy8sLP/74o9Xz6PV61KpVC7169cKUKVPyTWepJyc0NBTPP9IDyHROT46zz1r0ej2SkpLQtm1bu9yK6yqFnR1rfUpg4KKu+DpmNfQZ2U7KlfPlV05ZzoaNZKm3lhjrsrvX2fyotS67us5a24NYbDoDNt7+3uFBjpT9m+fPn8eWLVuwZs0am+bTarVo0KABTp8+XWA6nU4HnU6XZ7r+fg5wP8fCHPbnqgZbq9Wq8mBh67gHfUa2WzwnR5+R7Ra346q13hbEuN2MzwJypzprTTk76HoDUO94MVfVWafVISd1r0j5gs6EhASUK1cOHTt2tGm+nJwcHD16FOXLl3dQzsgVOLDTXJJhpeksV61nu5TXupQlSDKsVO1B3VG4/7s36YIcg8GAhIQEREdHo0QJ846qfv36IS4uzvR58uTJ+OWXX/DPP//g4MGD6NOnD86fP49XX33V2dkmIiIiO5PuctWWLVtw4cIFDBw4MM93Fy5cgIfH/+K627dvIzY2FlevXsUjjzyCRo0aYc+ePahdu7Yzs0wOxLO4B3h2714e3t7cB3ibuTuTLsh57rnnkN9Y6u3bt5t9nj17NmbPnu2EXJGzsWF/gA07GeuAu+8TfKu5e5IuyCH35u4NORtwyk/uuuGu+wqDHfci3Zgccl/u2mgD4IBTspm71xl3bi/cCXtySAru2GC58wGK7Medx+9wrI782JNDquduDbO7n4GT47hj3XK39sPdsCeHVMvdGid3O/iQ67jbYGWO05EXe3KIiIhISuzJIdVxl7NLgGeW5FruNl6HPTryYU8OqYo7NLSAe46NIGVzpzrpLu2MO2CQQ6rhDg2POx1ISJ3cpY66Q3vjDhjkkCrI3uC4y4GD5OEOdVb2dscdcEwOKZ6sDY3sBwhyD7KP2+GzdNSNPTmkaDI2mgADHJKTrPVa1nbIHTDIISIiIinxchUpkqxnTrKe6RIZyfogQV62UicGOaQ4sjWObBjJHck4VofP0VEfXq4iRZGlMTRiY0gk334gWzslMwY5pBgyNRzucHstkS1k2ydkaq9kxiCHFEGmBkOmhpzI3mTaP2Rqt2TFMTnkcjI0FDI13ESOJtN4HQ5IVjb25JBLqb2BAxjgEBWHDPuPDO2YrBjkEBERkZR4uYpcQoYzHxnOQImUQIZn6/D2cmViTw45nZobMiM2ZET2J8N+JUP7JhMGOeRUMjQAMjTEREolw/4lQzsnC16uIqdR844vQ8NLpBYy3H3Fu66UgT055BRqbagABjhErqTm/U/N7Z4sGOSQw6l5R1dzA0skCzXvh2pu/2TAIIeIiIikxCCHHKatR5Sqz2LUfPZIJJt1KUtcnYUiU3tbqGYMcogsUHODSkREDzDIIYdQ41lLkmElgxsihVuXskS1bzRXY7uodgxyyO7UuCOrscEkcndq3G/V2D6qGYMcsis17sBqbCiJ6AE17r9qbCfVikEO2Y0ad1w1NpBEZE6N+7Ea20s1YpBDREREUmKQQ3ahxrMSNZ79EZFlatyf1dhuqg2DHHJLamwQiahg3K8pNwY5VGxqOhtR662nRGQdte3jamo/1YhBDhWZ2p7iqaaGj4iKR037u9raUjVhkENForYdUk0NHhHZh9r2e7W1q2rAIIekp7aGjojsh/u/e2OQQzZT09kGGzgiUlM70Dkg2tVZkAqDHCIiIpISgxyyiZrOMtR09kZEjsX2wD0xyCEpsUEjotzYLrgfBjkkFbU9I4OInEstbYSaes2VjEEOWUUNO5waGi4iUgY1tBdquslDqaQKciZNmgSNRmP2Fx4eXuA8K1euRHh4OLy9vfH4449jw4YNTsqtOqjlIVVqaLCISFnU0G6opQ1WKqmCHACoU6cOrly5YvrbvXt3vmn37NmDXr16ISYmBocOHUKXLl3QpUsXHDt2zIk5puJSQ0NFRMrE9kNu0gU5JUqUQEhIiOmvbNmy+ab95JNP0L59e4wZMwa1atXClClT0LBhQ3z22WdOzDERERE5QglXZ8De/v77b1SoUAHe3t5o0qQJpk6dikqVKllMm5ycjFGjRplNa9euHdauXVvgOjIzM5GZmWn6nJaWBgDQensCGufEjXq93uHr6BwQDa2PFgCg9Slh9q+S2PO3MC7LGb+vK7Gc8nCHMgKOLaexnVOC/NraDiV7Y13KEies30m/hc4AZDh+NRohhHD8apxj48aNuHv3LmrWrIkrV64gPj4ely9fxrFjx1C6dOk86b28vLBkyRL06tXLNO3zzz9HfHw8rl27lu96Jk2ahPj4+DzTExMT4evra5/CEBERSSo9PR29e/dGamoq/Pz8HLYe5Z2WF8Pzzz9v+n+9evUQERGBsLAwrFixAjExMXZbT1xcnFkPUFpaGkJDQ/Ht0HVApnN6chwd0ee+m0rrUwIDF3XF1zGroc/Idui6reWI30Cv1yMpKQlt27aFVqucszt7Yznl4Q5lBJxTTiXcRVpYW+vstt9hdAanrEaqICe3gIAAPPbYYzh9+rTF70NCQvL02Fy7dg0hISEFLlen00Gn0+WZrr+fA9zPKXqGbeDIxqygkfz6jGzoM1zbLe6MgYJarVbqA4YRyykPdygj4NhybriXCEAZt27n19Z20PV2aBvotPbdSdeQpBt4/LC7d+/izJkzKF++vMXvmzRpgl9//dVsWlJSEpo0aeKM7FER8E4IInI0tjPykCrIeeutt7Bjxw6cO3cOe/bswUsvvQRPT0/TmJt+/fohLi7OlP7NN9/Epk2b8PHHH+PkyZOYNGkS9u/fj2HDhrmqCC6nhDOY/LDhISJnUXJ7o+R2Wmmkulx16dIl9OrVCzdv3kRQUBCeffZZ/P777wgKCgIAXLhwAR4e/4vrIiMjkZiYiPHjx+Odd95BjRo1sHbtWtStW9dVRSAiIiI7kSrIWb58eYHfb9++Pc+0qKgoREUxKgZ4dkBEpBZtPaIU3dukFFJdriJ5cWcmImdju6N+DHJI8e9GYUNDRK6i5PZH6W23EjDIIUVTcgNDRO6B7ZB6MchxczwLICJSN7bj+WOQ48aUvGMkGVby7ImIFEPp7ZGS23NXYpBDiqP0xoSI3BNPvtSHQQ4RERFJiUGOm2LXJhGRXNiu58UghxSFXcFEpHRsp9SDQY4bUmq0z4aDiNRCqe2VUtt3V2GQQ0RERFJikONmlBrlK/WsiIgoP0ptt5TazrsCgxxyOaU2FEREhWH7pWwMcoiIiEhKDHLcCLswiYjcA9v7BxjkkEuxq5eI1I7tmHKVcHUGyPEY0RMRuR9j2+/OQRiDHHIJd97piEg+xjaNJ5XKwstVklPiDscAh4hkpcT2TYnHAWdhkENERERSYpBDREREUmKQIzEldlEqsSuXiMielNjOKfF44AwMcoiIiEhKDHLIaZR4dkNE5Ahs75SBQY6k3LVrkoiILHPH4wKDHHIKntUQkbthu+d6DHIk5I7ROhERFc7djg8McsjheDZDRO6K7Z9rMcghIiIiKTHIkYy7dUUSEZFt3Ok4wRd0ksOwm5aIiC/vdCX25BAREZGUGORIoq1HlKLOEtiLQ0RkTkntotKOGY7CIIeIiIikxDE5ZHdKOlsheVlzFqr10eK1xB7oHBANfYa+0PSsu+RoSYaVbtGDohTsySEiIiIpsSdHAjwrIJk5s37nty728JCs2npESV2/GeSQXcm8s5BzKDFoz50n1nMqDl6ych4GOSrHHYXUTo11mEEPyUTm3hwGOWQ3su4kZH9qDGwK8nB5uB+QNdib4xwMcojIKdylQWfAQ6QcvLtKxdzloEHq5i4PHbPEnctO6iJrPWWQQ0RERFJikEN2wW55yo29GP/D34IsYbvpeByTQ0R2wwN5wTheh8i52JOjUko6mLCxJvZU2I6/GQHKaj9lrI8McoioWGRsGJ2Jvx+R40gV5EydOhVPPfUUSpcujXLlyqFLly44depUgfMsXrwYGo3G7M/b29tJOSZSL/ZE2A9/SyLHkCrI2bFjB4YOHYrff/8dSUlJ0Ov1eO6553Dv3r0C5/Pz88OVK1dMf+fPn3dSjtUtybBSUV2t5Dw8IDsGf1f3xLbUcaQaeLxp0yazz4sXL0a5cuVw4MABNGvWLN/5NBoNQkJCHJ09ItXjQdjxjL8xD3pExSdVkJNbamoqACAwMLDAdHfv3kVYWBgMBgMaNmyIDz/8EHXq1Mk3fWZmJjIzM02f09LSAABab09AI1XnmInWp4TZvwCg1+tdlR2HMZZJxrI9rKjl1PpoHZEdh7FUb9XC2m3DOisPrY9W1XXWJjoDkOH41WiEEMLxq3E+g8GATp06ISUlBbt37843XXJyMv7++2/Uq1cPqampmDlzJnbu3Injx4+jYsWKFueZNGkS4uPj80xPTEyEr6+v3cpAREQko/T0dPTu3Rupqanw8/Nz2HqkDXIGDx6MjRs3Yvfu3fkGK5bo9XrUqlULvXr1wpQpUyymsdSTExoaiucf6QFkytuTM3BRV3wdsxr6jGysS1ni6iw5hF6vR1JSEtq2bQutVl29FrawpZydA6KdlCv7y11v1aqg/Y11Vi7dysdIUWcLpTNg4+3vHR7kSNkfNmzYMPz000/YuXOnTQEOAGi1WjRo0ACnT5/ON41Op4NOp8szXX8/B7ifY3N+1USfkQ19hl7qRgZ4UA9kLyNQeDllGYNjrLdq1UHXu9AxOqyzcjAGNmqvs4VyUveKVN0OQggMGzYMP/zwA7Zu3YoqVarYvIycnBwcPXoU5cuXd0AOidRDlgBHFtweRLaTKsgZOnQoli5disTERJQuXRpXr17F1atXkZHxv9FN/fr1Q1xcnOnz5MmT8csvv+Cff/7BwYMH0adPH5w/fx6vvvqqK4qgCrzrQ258ZotycdvIT9ahAK4iVZAzf/58pKamokWLFihfvrzp7/vvvzeluXDhAq5cuWL6fPv2bcTGxqJWrVro0KED0tLSsGfPHtSuXdsVRSByKR5A1YHbicg6Uo3JsWYM9fbt280+z549G7Nnz3ZQjoiIiMhVpOrJIaKiY++AunB7ERWOQQ4R8YCpUtxuRAVjkEM24aA4+fBAqW5qfo4RkaMxyCFyYzxAEpHMGOQQERGRlBjkELkh9uDIp3NANC89SoRDA+yDQQ4RERFJiUEOkZvh2b7cuH2J/odBDpEb4QHQPXA7Ez0g1ROPiYgefreaXq/Hhg0bsC5lidmbqxkEELkHBjlEbkK2A3txXhSb37wy/UZtPaL4Ml1ye7xcRVbhSH91k+XgnWRYafpT4/KdTZbt7q5kqYeuxJ4cIlIsVzbyudfNgIFIfdiTQyQ5NR6cldibosQ8WUON25/IXhjkEBERkZR4uYqIFEMNPSXGPLKHhEj5GORQgYwNul6vd3FOqCjUciBWQ3CTm5qCHd5ppV5qqmdKxMtVRORSaj/4qj3/RDJjTw6RhNRw1idTcKCGs21j3mT63YkKw54cInI6WQ+0spaLSK0Y5BBJRsm9CYD8gYDSy6f0+kFkTwxyiIiISEock0NETqH0Hg57UsMYHSJ3wJ4cypc7HZRkodSDqrvWJaWWW6n1hPKn1LqkdAxyiMih3L1xdvfyE7kSgxwiIiKSklVjcho2bGjTQjUaDdavX49HH320SJkiItsp8RIEezEeSDKsVNz24VOQyR1YFeQcPnwYo0ePRqlSpQpNK4TAtGnTkJmZWezMEZF68QBqTomBDpHsrL67asyYMShXrpxVaT/++OMiZ4iIiIjIHqwak3P27FkEBQVZvdC//voLYWFhRc4UEakbe3Es4+9C5FxWBTlhYWHQaDRWLzQ0NBSenp5FzhQR2YaXQagoWG9IdkV6GOD9+/dx5MgRXL9+HQaDwey7Tp062SVjRKQ+7KkoHB8USOQ8Ngc5mzZtQr9+/fDff//l+U6j0SAnJ8cuGSPX4sGKiEhZOHjddjY/J2f48OGIiorClStXYDAYzP4Y4BC5LwbGtuHvReR4Ngc5165dw6hRoxAcHOyI/BCRjXhmR8XB+kMysznI6datG7Zv3+6ArBARERHZj81jcj777DNERUVh165dePzxx6HVas2+f+ONN+yWOSIiIqKisjnI+e677/DLL7/A29sb27dvN7u1XKPRMMghckMcX1I0HEhK5Fg2Bznvvvsu4uPjMW7cOHh48P2eREREpEw2RylZWVno0aMHAxwiIiJSNJsjlejoaHz//feOyAsR2aCtR5QiLnXwUlXxKOH3U0pdIrI3my9X5eTkYMaMGdi8eTPq1auXZ+DxrFmz7JY5IiIioqKyOcg5evQoGjRoAAA4duyY2Xe2vN+KiIiIyJFsDnK2bdvmiHwQERER2RVHDxMREZGUbO7JuX//PubOnYtt27ZZfAv5wYMH7ZY5IiIioqKyOciJiYnBL7/8gm7duqFx48Ych0PkxpRwZ5AM+FBAIsewOcj56aefsGHDBjzzzDOOyI9dzJs3Dx999BGuXr2KJ554AnPnzkXjxo3zTb9y5Uq89957OHfuHGrUqIHp06ejQ4cOTswxERER2ZvNY3IeffRRlC5d2hF5sYvvv/8eo0aNwsSJE3Hw4EE88cQTaNeuHa5fv24x/Z49e9CrVy/ExMTg0KFD6NKlC7p06ZLnzjEiIiJSF5uDnI8//hhjx47F+fPnHZGfYps1axZiY2MxYMAA1K5dGwsWLICvry++/vpri+k/+eQTtG/fHmPGjEGtWrUwZcoUNGzYEJ999pmTc05ERET2ZPPlqieffBL3799H1apV4evrm+dhgLdu3bJb5myVlZWFAwcOIC4uzjTNw8MDbdq0QXJyssV5kpOTMWrUKLNp7dq1w9q1a/NdT2ZmJjIzM02f09LSAABab09AI8cNa3q93uLn3NNlo6Zyan20hSfKd94SZv8WldJ/J3fYnvbaloCyfyc1bcviKKycxdnvFUVnADIcvxqNEELYMkObNm1w4cIFxMTEIDg4OM/A4+joaLtm0Bb//vsvHn30UezZswdNmjQxTX/77bexY8cO7N27N888Xl5eWLJkCXr16mWa9vnnnyM+Ph7Xrl2zuJ5JkyYhPj4+z/TExET4+vraoSRERETySk9PR+/evZGamgo/Pz+Hrcfm0H/Pnj1ITk7GE0884Yj8qEJcXJxZ709aWhpCQ0Px7dB1QKYcPTnrUpaYfdbr9UhKSkLbtm3z9N7JRE3l7BxQ9BMKrU8JDFzUFV/HrIY+I7vIy8ldT5TGHbanvbYloOztqaZtWRyFlbM4+72i6AyFp7EDm4Oc8PBwZGQ4oY+pCMqWLQtPT888PTDXrl1DSEiIxXlCQkJsSg8AOp0OOp0uz3T9/Rzgfk4Rcq48+TUiWq1W6gbGSA3l1GcUv9ten5FdrOUo/TcycoftWdxtCahje6phW9pDfuW0x36vCDZdQyo6m7sdpk2bhtGjR2P79u24efMm0tLSzP5cycvLC40aNcKvv/5qmmYwGPDrr7+aXb56WJMmTczSA0BSUlK+6YmIiEgdbO7Jad++PQCgdevWZtOFENBoNMjJcW1PxqhRoxAdHY0nn3wSjRs3xpw5c3Dv3j0MGDAAANCvXz88+uijmDp1KgDgzTffRPPmzfHxxx+jY8eOWL58Ofbv34+FCxe6shhEqtDWI4oPBLQDPgiQyDGke0Fnjx49cOPGDUyYMAFXr15F/fr1sWnTJgQHBwMALly4AA+P/3VgRUZGIjExEePHj8c777yDGjVqYO3atahbt66rikBERER2YHOQ07x5c0fkw66GDRuGYcOGWfxu+/bteaZFRUUhKopnUkRERDKxakzOkSNH8ryIsyDHjx9HdnbxRvkTERERFYdVQU6DBg1w8+ZNqxfapEkTXLhwociZIiIiIiouqy5XCSHw3nvvWf2gu6ysrGJlioiIiKi4rApymjVrhlOnTlm90CZNmsDHx6fImSKiwhnvanL1nTm8w6p4XL39AHD7kbSsCnIsDdYlIiIiUjI53kFARERElAuDHCIqNiVcclEj/m5EjsUgh4iIiKTEIIeIiIikxCCHSOV4ZwwVB+sPyYxBDhHZBceX2Ia/F5HjMcghi9gAExEpC9tl29n8gk4iovwYG2FeAskfD1REzsOeHCIJMKigomC9IdnZHORER0dj586djsgLEUmCvRWW8Xchci6bg5zU1FS0adMGNWrUwIcffojLly87Il9ERERExWJzkLN27VpcvnwZgwcPxvfff4/KlSvj+eefx6pVq6DX6x2RRyJSIfZamOPvQeR8RRqTExQUhFGjRuHPP//E3r17Ub16dfTt2xcVKlTAyJEj8ffff9s7n0RUCCWOr+CB/QEl/g5KrC9E9lasgcdXrlxBUlISkpKS4OnpiQ4dOuDo0aOoXbs2Zs+eba88EhEREdnM5iBHr9dj9erVeOGFFxAWFoaVK1dixIgR+Pfff7FkyRJs2bIFK1aswOTJkx2RXyJSGSX2YjiTu5efyJVsfk5O+fLlYTAY0KtXL+zbtw/169fPk6Zly5YICAiwQ/bIldp6RLFLW2WSDCsVeVB117qkxG0B8FKVGim1LimdzUHO7NmzERUVBW9v73zTBAQE4OzZs8XKGBHJxZ0eFMgDEpEy2Bzk9O3b1xH5ICIiIrIrPvGYSDJK7ymRvZdD6eVTev0gsicGOUTkdEoPBIpK1nIRqRVf0EkkIePZupIPujKN0VHy72wkw+9MZCv25BCRS6khQCiI2vNPJDP25FCBjA34hsxEF+eEikKpt5TnpsZeHTX8rkZq+l3JnJrqmRIxyCEixVBDsMODDpF68HIVERERSYlBDpHklNwrkp+2HlGK6zFRYp6socbtT2QvvFxFRIqVO6hw5gFbjQENEZljkENW6RwQjdcSe7g6G1REahmAXJiHy+CIgEeG3+hh7MVRN9nqoyswyCFyE7IEOkb5lcWaA7tMv0N+GOAQMcghIsk8HMBofbR4LbEHOgdEQ5+hd2GuiMgVOPCYyI3w7N49cDsTPcAgh8jN8AAoN25fov9hkENERERSYpBD5IbWpSxxdRbIztalLGEvjkQ6B0S7OgtSYJBDREREUmKQQ+TG2KNDRDJjkEM2YReqfHiJQ90YqBLlj0EOETHQUSluN6KCMcghIgA8YKoNtxdR4RjkEBERkZQY5BCRCXsH1IHbicg60gQ5586dQ0xMDKpUqQIfHx9Uq1YNEydORFZWVoHztWjRAhqNxuzv9ddfd1Ku1ckdXm7ozpIMK3kQVShuG/nx5g77kuYFnSdPnoTBYMAXX3yB6tWr49ixY4iNjcW9e/cwc+bMAueNjY3F5MmTTZ99fX0dnV0ixZPtreVqx+CGyHbSBDnt27dH+/btTZ+rVq2KU6dOYf78+YUGOb6+vggJCXF0FolUh4GOMjDAISoaaYIcS1JTUxEYGFhoumXLlmHp0qUICQnBiy++iPfee6/A3pzMzExkZmaaPqelpQEAtN6egEaaK4BmtD4lzP7tULK3lM/n0Ov1Zv/KypZybshMVG0Xeu56q0brUpYUuJ1YZ+XROSBaijprFZ0ByHD8ajRCCOH41Tjf6dOn0ahRI8ycOROxsbH5plu4cCHCwsJQoUIFHDlyBGPHjkXjxo2xZs2afOeZNGkS4uPj80xPTEzkpS4iIqJCpKeno3fv3khNTYWfn5/D1qP4IGfcuHGYPn16gWlOnDiB8PBw0+fLly+jefPmaNGiBb766iub1rd161a0bt0ap0+fRrVq1SymsdSTExoaiucf6QFkytuTM3BRV3wdsxr6jGwAcj5pVa/XIykpCW3btoVWq3V1dhymqOVUW4+OpXqrFtbuX6yz8jD25Ki1ztpEZ8DG2987PMhRfH/Y6NGj0b9//wLTVK1a1fT/f//9Fy1btkRkZCQWLlxo8/oiIiIAoMAgR6fTQafT5Zmuv58D3M+xeZ1qos/Ihj7jQXexrA0N8KBsMpfPyNZybriXCEB9d9g9XG+Vrqjjb1hn1e/hOqqmOlskTupeUXyQExQUhKCgIKvSXr58GS1btkSjRo2QkJAADw/be1UOHz4MAChfvrzN87ob44GOgyLdDwckOwb3JffEfclxpLm2cvnyZbRo0QKVKlXCzJkzcePGDVy9ehVXr141SxMeHo59+/YBAM6cOYMpU6bgwIEDOHfuHNavX49+/fqhWbNmqFevnquKQqQKfGaL/fC3JHIMxffkWCspKQmnT5/G6dOnUbFiRbPvjMOO9Ho9Tp06hfT0dACAl5cXtmzZgjlz5uDevXsIDQ1F165dMX78eKfnn0it2KtTPAxuiBxHmiCnf//+hY7dqVy5Mh4eZx0aGoodO3Y4OGeOoaQDS1uPKDbUbs64/ZVSJ9WA+wwBytpnlHRcsRdpghwicr2HD9yyNZb2wMCGyLmkGZNDrsUDGuXGcSb/w9+CLGG76XgMcoiIiEhKDHJUjGeGpAbu3IvhzmUndZG1nnJMDhE5hbuM15H1YEGkRgxyyG54lxVZS7aAh/WebCVDvVcDBjkqJ+Mtf+RecgcIaqjPDGpIJjLXZwY5ZFfszaHiUmLQwzpN9qSEOu0uGORIgL05JLP8AgxH1HkGM+RuZK/zvLuKiIiIpMSeHLI7XrIiZ7Cmjun1emzYsAHrUpZAq9U6IVdEBWOvu3OxJ4eIiIikxCBHEkp76BjPVoiIzCmpXVTaMcNRGOQQERGRlDgmhxzGeNbiDmcLRET5UVIPjrthT45kGFAQEVFB3Ok4wSCHiIiIpMQghxyOXbVE5K7Y/rkWgxwJuVNXJBERWc/djg8McsgpeDZDRO6G7Z7rMciRlLtF60REVDB3PC4wyCGn4VkNEbkLtnfKwCCHiIiIpMQgR2JK7Jrk2Q0RyU6J7ZwSjwfOwCCHiIiIpMQgh4iIiKTEIEdySuyiVGJXLhGRPSixfVPiccBZ+IJOcgm+vJOIZKLE4IYY5LgFYyDBnZCIyH3wJJKXq8jFGHgRkdqxHVMuBjluhFE9EZF7YHv/AIMcIiIikhKDHHI5dvUSkVqx/VI2BjluRqldmGwoiEhtlNpuKbWddwUGOURERCQlBjluSKlRvlLPioiIclNqe6XU9t1VGOSQoii14SAiMmI7pR4MctwUo30iIrmwXc+LQQ4RERFJiUEOKQ67golIidp6RLF9UhkGOW5MyV2bbEyISEmU3h4puT13JQY5bo47BhGRurEdzx+DHFI0pZ89EZH82A6pF4McQpJhpaLPBNjAEJGrKLn9UXrbrQQMckgVlNzQEJGc2O6oH4McMuEZARGROrC9tg6DHCIiIpKSVEFO5cqVodFozP6mTZtW4Dz379/H0KFDUaZMGZQqVQpdu3bFtWvXnJRj5VHy2QG7jonIWZTc3ii5nVYaqYIcAJg8eTKuXLli+hs+fHiB6UeOHIkff/wRK1euxI4dO/Dvv//i5ZdfdlJuyVZKbniISA5sZ+RRwtUZsLfSpUsjJCTEqrSpqalYtGgREhMT0apVKwBAQkICatWqhd9//x1PP/20I7OqWEmGlYreyY1549kMEdmTkts9I7Z7tpEuyJk2bRqmTJmCSpUqoXfv3hg5ciRKlLBczAMHDkCv16NNmzamaeHh4ahUqRKSk5PzDXIyMzORmZlp+pyWlgYA0Hp7AhrndI7p9XqHLl/ro831uYTZv0rQoWRvrEtZYtdlGn9XR/++rsZyysMdygg4vpydA6LztHuuUFhb6+y232F0BiDD8avRCCGE41fjHLNmzULDhg0RGBiIPXv2IC4uDgMGDMCsWbMspk9MTMSAAQPMAhYAaNy4MVq2bInp06dbnG/SpEmIj4+3uDxfX9/iF4SIiEhi6enp6N27N1JTU+Hn5+ew9SjntDwf48aNyzfYMDpx4gTCw8MxatQo07R69erBy8sLr732GqZOnQqdTme3PMXFxZmtKy0tDaGhofh26Dog0zk9OfbuwchP54BoAA/OKgYu6oqvY1ZDn5HtlHVby56/hV6vR1JSEtq2bQut1vVndY7CcsrDHcoIOLacxnZOCfJra53d5juczuCU1Sg+yBk9ejT69+9fYJqqVatanB4REYHs7GycO3cONWvWzPN9SEgIsrKykJKSgoCAANP0a9euFTiuR6fTWQya9PdzgPs5BebVXpzVmOkz9Lk+Z+eZ5mqO+C20Wq3UBwwjllMe7lBGwDHlVFqbBuRta13V5juMk64hKT7ICQoKQlBQUJHmPXz4MDw8PFCuXDmL3zdq1AharRa//vorunbtCgA4deoULly4gCZNmhQ5z+RcbT2iOBiPiIpEDYONqegUH+RYKzk5GXv37kXLli1RunRpJCcnY+TIkejTpw8eeeQRAMDly5fRunVrfPPNN2jcuDH8/f0RExODUaNGITAwEH5+fhg+fDiaNGnitndW5WYMHjqU7O3inBSMgQ4R2UoNAQ7bteKR5jk5Op0Oy5cvR/PmzVGnTh188MEHGDlyJBYuXGhKo9frcerUKaSnp5umzZ49Gy+88AK6du2KZs2aISQkBGvWrHFFERTNWdeDi0MNDRYRKYMa2gsGOMUnTU9Ow4YN8fvvvxeYpnLlysh9M5m3tzfmzZuHefPmOTJ75CR8hg4RFUQNwQ2gjhNLNZCmJ4foYWppyIjIedguuB8GOWQTNZ1dsEEjIiO2B+6JQQ4RERFJiUEO2UxN41149kZEamoH1NRbrgYMckh6amrgiMi+uP+7NwY5VCRq6s0B2NARuSO17fdqa1fVgEEOFVmSYaWqdkq1NXhEVHRq2t/V1paqCYMcKjY17ZxtPaJU1fgRkW3Uto+rqf1UIwY55JbU1AgSkXW4X1NuDHLILtR4NsIGkUgeatyf1dhuqg2DHCIiIpISgxyyGzWelajx7I+IzKlxP1Zje6lGDHLIrtS446qxgSSiB9S4/6qxnVQrBjlkd2rcgdXYUBK5OzXut2psH9WshKszQHJKMqxUXQPU1iMKWh8tXkvs4eqsEFE+OgdEQ5+hd3U2ioQBjvOxJ4fIgs4B0a7OAhERFRODHHIYtT/FU209UUQyU/OJh9rbQjVjkENERERSYpBDDqfmMxj25hC5npr3QzW3fzJgkENOoeYdXc0NLJHaqXn/U3O7JwveXUVOo8Y7rowezjcbLiLHUms78TC2E8rAnhxyKhl2fBkaYCKlkmH/kqGdkwWDHHI6GRoAGRpiIqWRYb+SoX2TCS9XkUsYGwI1N2rGvLNRIyoeNbcDRmwHlIk9OURERCQlBjnkUjKc/chwFkrkKjLsPzK0Y7Li5SpyOTXfdWXEu6+IrKf2/f1h3N+VjT05pAgyNRQyNeBE9ibT/iFTuyUrBjmkGDI1GG09oqRqzImKS7Z9Qqb2SmYMckhRZGs4ZGrUiYpKtv1AtnZKZhyTQ4ojwxidh3G8DrkjmfZhI+6/6sMghxRJhufoWMJn65DsZNtnjbjPqhMvVxEREZGUGOSQosl69iTr2S65N1nrtaztkDvg5SpSPNnG6BhxrA7JQMZ982HcN9WNPTmkCrI3NLLdXkvyc4c6K3u74w4Y5JBquEOD4w4HDlI3d6mj7tDeuAMGOaQq7tLwuMuBhNTDneqku7Qz7oBjckh1ZL293BKO2yFXcod97GHcx+TDnhwiIiKSEntySLXcqUcH4IMEyXncZZ8y4j4lL/bkkOq5WwPlTmMjyLncsW65W/vhbtiTQ1KQ9Vk6BeF4HbIHd9tvHsb9Rn7sySFpuHOD5Y5n4FQ87l5n3Lm9cCfsySGpuNs4ndxyl5sNORm56z6RG/cJ98Igh6Tk7sGOEQcrk7vvA0bcB9wTgxySmjuO1bGE43fcC+u8OdZ59yXNmJzt27dDo9FY/Pvjjz/yna9FixZ50r/++utOzDkRERE5gjQ9OZGRkbhy5YrZtPfeew+//vornnzyyQLnjY2NxeTJk02ffX19HZJHcg325phr6xEFrY8WryX2QOeAaGy4l+jqLJEddA6Ihj5D7+psKA57cdybNEGOl5cXQkJCTJ/1ej3WrVuH4cOHQ6PRFDivr6+v2bwkH47RyR8vZamTcbsZA1Yyx7pMgERBTm7r16/HzZs3MWDAgELTLlu2DEuXLkVISAhefPFFvPfeewX25mRmZiIzM9P0OS0tDQCg9fYENM65AqjXO/eMzbg+Z6/X3jZkPui16BwQbfF7rU8Js39llV85O5TsnSftupQlTsmTI8hSby3VV62P9v//6951NjdjfVXrNnd1nTXWK4fTGYAMx69GI4QQjl+N83Xo0AEAsGHDhgLTLVy4EGFhYahQoQKOHDmCsWPHonHjxlizZk2+80yaNAnx8fF5picmJvJSFxERUSHS09PRu3dvpKamws/Pz2HrUXyQM27cOEyfPr3ANCdOnEB4eLjp86VLlxAWFoYVK1aga9euNq1v69ataN26NU6fPo1q1apZTGOpJyc0NBTPP9IDyHROT46zz671ej2SkpLQtm1baLVOivSd5OGzZK1PCQxc1BVfx6yGPiPbhblyLHuXU6m9PWqot/n1KlqLdVa59a8oXF1ni1sfraYzYOPt7x0e5Ci+f3P06NHo379/gWmqVq1q9jkhIQFlypRBp06dbF5fREQEABQY5Oh0Ouh0ujzT9fdzgPs5Nq+zKFzVYGu1WsUeLIpqw73EPGN19BnZbjGI017l7KDLe5lLSWMilFJvHTkmzF3rrJLqmT25qs46rQ45qXtF8UFOUFAQgoKCrE4vhEBCQgL69etXpApy+PBhAED58uVtnpeIiIiUQ/FBjq22bt2Ks2fP4tVXX83z3eXLl9G6dWt88803aNy4Mc6cOYPExER06NABZcqUwZEjRzBy5Eg0a9YM9erVc0HuyVWMZ4N6vb7QcVxknYJ6LWQ9+wZ4B58zyFx/yL6kC3IWLVqEyMhIszE6Rnq9HqdOnUJ6ejqAB7edb9myBXPmzMG9e/cQGhqKrl27Yvz48c7ONpFbsSYQUOKBjAGM68k0/oYcT7ogJzEx/webVa5cGQ+Psw4NDcWOHTuckS1SmXUpS6DVanlQcyF7/PYPP/TQHcaryGxdyhL2spLNpAtyiOyJDxEkcq2HLyUT2YpBDpEVGOwQOZcSL1eS+jDIIbIBgx0ix2JwQ/YkzVvIiYiIiB7GnhyiImCPDpF9sQeHHIE9OUTFwIaZqPi4H5GjsCeHqJgebqDZs0NkHQY25AwMcojsiJexiArG4IaciUEOkQMw2CEyx+CGXIFBDpED8VIWuTMGNuRqDHKInIS9O+QuGNyQUvDuKiIiIpISe3KInIw9OiQr9uCQ0jDIIXIRjtchGTCwISVjkEOkAAx4SE0Y2JBaMMghUhheziKlYnBDasMgh0ih2LtDSsDAhtSMQQ6RCjDgIWdiYEOy4C3kREREJCX25BCpTO6zbPbsUHGx54ZkxSCHSOU4UJmKisENyY5BDpEkOG6HrMHAhtwJgxwiCfGSFhkxqCF3xiBHpZx90NL6aPFaYg90DoiGPkPv1HU7k7uUk9yHLAGuu+yb7lJOZ+HdVURERCQlBjlEREQkJQY5REREJCUGOURERCQlBjlEREQkJQY5REREJCUGOURERCQlBjlEREQkJQY5REREJCUGOURERCQlBjlEREQkJQY5REREJCUGOURERCQlBjlEREQkJQY5REREJCUGOURERCQlBjlEREQkJQY5REREJCUGOURERCQlBjlEREQkJQY5REREJCUGOURERCQlBjlEREQkJdUEOR988AEiIyPh6+uLgIAAi2kuXLiAjh07wtfXF+XKlcOYMWOQnZ1d4HJv3bqFV155BX5+fggICEBMTAzu3r3rgBIQERGRM6kmyMnKykJUVBQGDx5s8fucnBx07NgRWVlZ2LNnD5YsWYLFixdjwoQJBS73lVdewfHjx5GUlISffvoJO3fuxKBBgxxRBCIiInKiEq7OgLXi4+MBAIsXL7b4/S+//IK//voLW7ZsQXBwMOrXr48pU6Zg7NixmDRpEry8vPLMc+LECWzatAl//PEHnnzySQDA3Llz0aFDB8ycORMVKlRwWHmIiIjIsVQT5BQmOTkZjz/+OIKDg03T2rVrh8GDB+P48eNo0KCBxXkCAgJMAQ4AtGnTBh4eHti7dy9eeukli+vKzMxEZmam6XNqauqD/+gMUFHnmG10BqSnpz8oo3B1ZhyI5ZSLO5TTHcoIsJyy0RmADEAIBxdSqExCQoLw9/fPMz02NlY899xzZtPu3bsnAIgNGzZYXNYHH3wgHnvssTzTg4KCxOeff55vHiZOnCjwoPrxj3/84x//+Me/Iv6dOXPGtiDARi7tyRk3bhymT59eYJoTJ04gPDzcSTmyTlxcHEaNGmX6nJKSgrCwMFy4cAH+/v4uzJnjpKWlITQ0FBcvXoSfn5+rs+MwLKdc3KGc7lBGgOWUTWpqKipVqoTAwECHrselQc7o0aPRv3//AtNUrVrVqmWFhIRg3759ZtOuXbtm+i6/ea5fv242LTs7G7du3cp3HgDQ6XTQ6XR5pvv7+0tdKQHAz89P+jICLKds3KGc7lBGgOWUjYeHY4d4uDTICQoKQlBQkF2W1aRJE3zwwQe4fv06ypUrBwBISkqCn58fateune88KSkpOHDgABo1agQA2Lp1KwwGAyIiIuySLyIiInIN1YySvXDhAg4fPowLFy4gJycHhw8fxuHDh03PtHnuuedQu3Zt9O3bF3/++Sc2b96M8ePHY+jQoaZel3379iE8PByXL18GANSqVQvt27dHbGws9u3bh99++w3Dhg1Dz549eWcVERGRyqnm7qoJEyZgyZIlps/Gu6W2bduGFi1awNPTEz/99BMGDx6MJk2aoGTJkoiOjsbkyZNN86Snp+PUqVPQ6/WmacuWLcOwYcPQunVreHh4oGvXrvj0009typtOp8PEiRMtXsKShTuUEWA5ZeMO5XSHMgIsp2ycVU6NEI6+f4uIiIjI+VRzuYqIiIjIFgxyiIiISEoMcoiIiEhKDHKIiIhISgxyrPDBBx8gMjISvr6+CAgIsJjmwoUL6NixI3x9fVGuXDmMGTMG2dnZBS731q1beOWVV+Dn54eAgADExMSYbol3te3bt0Oj0Vj8++OPP/Kdr0WLFnnSv/76607Mue0qV66cJ8/Tpk0rcJ779+9j6NChKFOmDEqVKoWuXbuaHj6pROfOnUNMTAyqVKkCHx8fVKtWDRMnTkRWVlaB86lhe86bNw+VK1eGt7c3IiIi8jwUNLeVK1ciPDwc3t7eePzxx7FhwwYn5dR2U6dOxVNPPYXSpUujXLly6NKlC06dOlXgPIsXL86zzby9vZ2U46KZNGlSnjwX9qR7NW1HI0ttjUajwdChQy2mV8u23LlzJ1588UVUqFABGo0Ga9euNfteCIEJEyagfPny8PHxQZs2bfD3338Xulxb921LGORYISsrC1FRURg8eLDF73NyctCxY0dkZWVhz549WLJkCRYvXowJEyYUuNxXXnkFx48fR1JSEn766Sfs3LkTgwYNckQRbBYZGYkrV66Y/b366quoUqWK2QtNLYmNjTWbb8aMGU7KddFNnjzZLM/Dhw8vMP3IkSPx448/YuXKldixYwf+/fdfvPzyy07Kre1OnjwJg8GAL774AsePH8fs2bOxYMECvPPOO4XOq+Tt+f3332PUqFGYOHEiDh48iCeeeALt2rXL8yRzoz179qBXr16IiYnBoUOH0KVLF3Tp0gXHjh1zcs6ts2PHDgwdOhS///47kpKSoNfr8dxzz+HevXsFzufn52e2zc6fP++kHBddnTp1zPK8e/fufNOqbTsa/fHHH2ZlTEpKAgBERUXlO48atuW9e/fwxBNPYN68eRa/nzFjBj799FMsWLAAe/fuRcmSJdGuXTvcv38/32Xaum/ny6FvxpJMfi8H3bBhg/Dw8BBXr141TZs/f77w8/MTmZmZFpf1119/CQDijz/+ME3buHGj0Gg04vLly3bPe3FlZWWJoKAgMXny5ALTNW/eXLz55pvOyZSdhIWFidmzZ1udPiUlRWi1WrFy5UrTtBMnTggAIjk52QE5dIwZM2aIKlWqFJhG6duzcePGYujQoabPOTk5okKFCmLq1KkW03fv3l107NjRbFpERIR47bXXHJpPe7l+/boAIHbs2JFvmvzaKSWbOHGieOKJJ6xOr/btaPTmm2+KatWqCYPBYPF7NW5LAOKHH34wfTYYDCIkJER89NFHpmkpKSlCp9OJ7777Lt/l2Lpv54c9OXaQnJyMxx9/HMHBwaZp7dq1Q1paGo4fP57vPAEBAWa9Im3atIGHhwf27t3r8Dzbav369bh58yYGDBhQaNply5ahbNmyqFu3LuLi4pCenu6EHBbPtGnTUKZMGTRo0AAfffRRgZcaDxw4AL1ejzZt2pimhYeHo1KlSkhOTnZGdu0iNTXVqpfjKXV7ZmVl4cCBA2bbwcPDA23atMl3OyQnJ5ulBx7sq2rZbqmpqQBQ6Ha7e/cuwsLCEBoais6dO+fbDinJ33//jQoVKqBq1ap45ZVXcOHChXzTqn07Ag/q79KlSzFw4EBoNJp806lxWz7s7NmzuHr1qtn28vf3R0RERL7bqyj7dn5U88RjJbt69apZgAPA9Pnq1av5zmN8x5ZRiRIlEBgYmO88rrRo0SK0a9cOFStWLDBd7969ERYWhgoVKuDIkSMYO3YsTp06hTVr1jgpp7Z744030LBhQwQGBmLPnj2Ii4vDlStXMGvWLIvpr169Ci8vrzzjs4KDgxW57Sw5ffo05s6di5kzZxaYTsnb87///kNOTo7Ffe/kyZMW58lvX1XDdjMYDBgxYgSeeeYZ1K1bN990NWvWxNdff4169eohNTUVM2fORGRkJI4fP17o/usqERERWLx4MWrWrIkrV64gPj4eTZs2xbFjx1C6dOk86dW8HY3Wrl2LlJSUAl9SrcZtmZtxm9iyvYqyb+fHbYOccePGYfr06QWmOXHiRKGD39SmKOW+dOkSNm/ejBUrVhS6/IfHFD3++OMoX748WrdujTNnzqBatWpFz7iNbCnnqFGjTNPq1asHLy8vvPbaa5g6dariH61elO15+fJltG/fHlFRUYiNjS1wXqVsTwKGDh2KY8eOFThWBXjw4uEmTZqYPkdGRqJWrVr44osvMGXKFEdns0ief/550//r1auHiIgIhIWFYcWKFYiJiXFhzhxn0aJFeP755wt8T6Iat6XSuG2QM3r06AIjaACoWrWqVcsKCQnJM+rbeKdNSEhIvvPkHkCVnZ2NW7du5TuPPRSl3AkJCShTpgw6depk8/qMb3M/ffq0Uw+Kxdm+ERERyM7Oxrlz51CzZs0834eEhCArKwspKSlmvTnXrl1z6LazxNZy/vvvv2jZsiUiIyOxcOFCm9fnqu1pSdmyZeHp6ZnnrraCtkNISIhN6ZVi2LBhppsTbD2D12q1aNCgAU6fPu2g3NlfQEAAHnvssXzzrNbtaHT+/Hls2bLF5h5RNW5L4za5du0aypcvb5p+7do11K9f3+I8Rdm382XTCB43V9jA42vXrpmmffHFF8LPz0/cv3/f4rKMA4/3799vmrZ582bFDTw2GAyiSpUqYvTo0UWaf/fu3QKA+PPPP+2cM8dZunSp8PDwELdu3bL4vXHg8apVq0zTTp48qfiBx5cuXRI1atQQPXv2FNnZ2UVahtK2Z+PGjcWwYcNMn3NycsSjjz5a4MDjF154wWxakyZNFDtg1WAwiKFDh4oKFSqI//u//yvSMrKzs0XNmjXFyJEj7Zw7x7lz54545JFHxCeffGLxe7Vtx9wmTpwoQkJChF6vt2k+NWxL5DPweObMmaZpqampVg08tmXfzjc/NqV2U+fPnxeHDh0S8fHxolSpUuLQoUPi0KFD4s6dO0KIBxWvbt264rnnnhOHDx8WmzZtEkFBQSIuLs60jL1794qaNWuKS5cumaa1b99eNGjQQOzdu1fs3r1b1KhRQ/Tq1cvp5SvIli1bBABx4sSJPN9dunRJ1KxZU+zdu1cIIcTp06fF5MmTxf79+8XZs2fFunXrRNWqVUWzZs2cnW2r7dmzR8yePVscPnxYnDlzRixdulQEBQWJfv36mdLkLqcQQrz++uuiUqVKYuvWrWL//v2iSZMmokmTJq4oglUuXbokqlevLlq3bi0uXbokrly5Yvp7OI3atufy5cuFTqcTixcvFn/99ZcYNGiQCAgIMN3p2LdvXzFu3DhT+t9++02UKFFCzJw5U5w4cUJMnDhRaLVacfToUVcVoUCDBw8W/v7+Yvv27WbbLD093ZQmdxnj4+PF5s2bxZkzZ8SBAwdEz549hbe3tzh+/LgrimCV0aNHi+3bt4uzZ8+K3377TbRp00aULVtWXL9+XQih/u34sJycHFGpUiUxduzYPN+pdVveuXPHdFwEIGbNmiUOHTokzp8/L4QQYtq0aSIgIECsW7dOHDlyRHTu3FlUqVJFZGRkmJbRqlUrMXfuXNPnwvZtazHIsUJ0dLQAkOdv27ZtpjTnzp0Tzz//vPDx8RFly5YVo0ePNovSt23bJgCIs2fPmqbdvHlT9OrVS5QqVUr4+fmJAQMGmAInpejVq5eIjIy0+N3Zs2fNfocLFy6IZs2aicDAQKHT6UT16tXFmDFjRGpqqhNzbJsDBw6IiIgI4e/vL7y9vUWtWrXEhx9+aNYDl7ucQgiRkZEhhgwZIh555BHh6+srXnrpJbOAQWkSEhIs1uGHO3PVuj3nzp0rKlWqJLy8vETjxo3F77//bvquefPmIjo62iz9ihUrxGOPPSa8vLxEnTp1xM8//+zkHFsvv22WkJBgSpO7jCNGjDD9HsHBwaJDhw7i4MGDzs+8DXr06CHKly8vvLy8xKOPPip69OghTp8+bfpe7dvxYZs3bxYAxKlTp/J8p9ZtaTy+5f4zlsVgMIj33ntPBAcHC51OJ1q3bp2n/GFhYWLixIlm0wrat62lEUII2y5wERERESkfn5NDREREUmKQQ0RERFJikENERERSYpBDREREUmKQQ0RERFJikENERERSYpBDREREUmKQQ0RERFJikENEqtSiRQtoNBpoNBocPnzY6es/d+6caf35vWiQiFyLQQ4RqVZsbCyuXLmCunXrOn3doaGhuHLlCkaPHu30dRORdUq4OgNEREXl6+uLkJAQl6zb09MTISEhKFWqlEvWT0SFY08OETnVjRs3EBISgg8//NA0bc+ePfDy8sKvv/5arGVv374dGo0GmzdvRoMGDeDj44NWrVrh+vXr2LhxI2rVqgU/Pz/07t0b6enppvlatGiB4cOHY8SIEXjkkUcQHByML7/8Evfu3cOAAQNQunRpVK9eHRs3bixW/ojIuRjkEJFTBQUF4euvv8akSZOwf/9+3LlzB3379sWwYcPQunVru6xj0qRJ+Oyzz7Bnzx5cvHgR3bt3x5w5c5CYmIiff/4Zv/zyC+bOnWs2z5IlS1C2bFns27cPw4cPx+DBgxEVFYXIyEgcPHgQzz33HPr27WsWHBGRsjHIISKn69ChA2JjY/HKK6/g9ddfR8mSJTF16lS7Lf/999/HM888gwYNGiAmJgY7duzA/Pnz0aBBAzRt2hTdunXDtm3bzOZ54oknMH78eNSoUQNxcXHw9vZG2bJlERsbixo1amDChAm4efMmjhw5Yrd8EpFjMcghIpeYOXMmsrOzsXLlSixbtgw6nc5uy65Xr57p/8HBwfD19UXVqlXNpl2/fj3feTw9PVGmTBk8/vjjZvMAyDMfESkXgxwicokzZ87g33//hcFgwLlz5+y6bK1Wa/q/RqMx+2ycZjAY8p3H0nwajQYA8sxHRMrFu6uIyOmysrLQp08f9OjRAzVr1sSrr76Ko0ePoly5cq7OGhFJhD05ROR07777LlJTU/Hpp59i7NixeOyxxzBw4EBXZ4uIJMMgh4icavv27ZgzZw6+/fZb+Pn5wcPDA99++y127dqF+fPnuzp7RCQRjRBCuDoTRES2atGiBerXr485c+a4NB+TJk3C2rVrXfJqCSIqGHtyiEi1Pv/8c5QqVQpHjx51+rovXLiAUqVKmT3UkIiUhT05RKRKly9fRkZGBgCgUqVK8PLycur6s7OzTXeF6XQ6hIaGOnX9RFQ4BjlEREQkJV6uIiIiIikxyCEiIiIpMcghIiIiKTHIISIiIikxyCEiIiIpMcghIiIiKTHIISIiIikxyCEiIiIp/T9DLu/T8RCRLgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Radial equal-area infill ===\n", + "Slice @ z : 5.00 mm\n", + "Area fraction (target) : 0.300\n", + "Filled area : 183.637 mm²\n", + "Centroid (x̄,ȳ) : ( -0.00 , -0.00) mm\n", + "Ix , Iy : 8009.353 , 8009.353 mm⁴\n", + "|Ix − Iy| / Ix : 0.00e+00\n", + "Ixy : 0.000 mm⁴\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Radial equal-area infill ===\n", + "Slice @ z : 7.50 mm\n", + "Area fraction (target) : 0.300\n", + "Filled area : 183.587 mm²\n", + "Centroid (x̄,ȳ) : ( -0.00 , -0.00) mm\n", + "Ix , Iy : 7516.301 , 7516.301 mm⁴\n", + "|Ix − Iy| / Ix : 0.00e+00\n", + "Ixy : -0.000 mm⁴\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Radial equal-area infill ===\n", + "Slice @ z : 10.00 mm\n", + "Area fraction (target) : 0.300\n", + "Filled area : 183.647 mm²\n", + "Centroid (x̄,ȳ) : ( -0.00 , -0.00) mm\n", + "Ix , Iy : 8084.520 , 8084.520 mm⁴\n", + "|Ix − Iy| / Ix : 1.12e-16\n", + "Ixy : 0.000 mm⁴\n", + "\n" + ] + } + ], + "source": [ + "# ----------------------------------------------------------------------\n", + "# NEW – isotropic, constant-area implicit surface\n", + "# ----------------------------------------------------------------------\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " dx = XX[0, 1] - XX[0, 0]\n", + " dy = YY[1, 0] - YY[0, 0]\n", + " dA = dx * dy\n", + "\n", + " A = np.count_nonzero(mask) * dA\n", + " if A == 0:\n", + " return A, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0\n", + "\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + " x_c = np.sum(x_vals * dA) / A\n", + " y_c = np.sum(y_vals * dA) / A\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = np.sum((y_shift**2) * dA)\n", + " I_y = np.sum((x_shift**2) * dA)\n", + " I_xy = np.sum((x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return A, x_c, y_c, I_x, I_y, I_xy, J\n", + "\n", + "\n", + "\n", + "def radial_equal_area_infill_rectangular(\n", + " *,\n", + " width,\n", + " height,\n", + " area_fraction, # 0 … 1 of INNER rectangle that must be solid\n", + " z_height=0.0,\n", + " base_period=6.0, # radial wavelength [mm]\n", + " shell_layers=0,\n", + " layer_width=0.4,\n", + " grid_N=400,\n", + " plot=True,\n", + " tol=1e-4,\n", + " max_iter=40\n", + "):\n", + " \"\"\"\n", + " Generates a mask for an r-dependent implicit surface\n", + " f(r,z) = sin( 2π r / base_period + ϕ(z) )\n", + " At each z the threshold is chosen so that:\n", + " • filled area = area_fraction · inner_area (constant)\n", + " • Ix ≈ Iy (radial symmetry → automatic)\n", + " Optional perimeter shells match the style of your gyroid routine.\n", + " \"\"\"\n", + " # 1) Build XY grid -------------------------------------------------\n", + " xs = np.linspace(-width / 2, width / 2, grid_N)\n", + " ys = np.linspace(-height / 2, height / 2, grid_N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " # 2) Implicit field f(r,z) ----------------------------------------\n", + " r = np.hypot(XX, YY)\n", + " k = 2.0 * np.pi / base_period\n", + " phi = 2.0 * np.pi * z_height / base_period # simple upward phase shift\n", + " F = np.sin(k * r + phi) # values in [-1 … 1]\n", + "\n", + " # 3) Perimeter shells (optional) ----------------------------------\n", + " shell_thk = shell_layers * layer_width\n", + " inner_w = width / 2 - shell_thk\n", + " inner_h = height / 2 - shell_thk\n", + " inner_mask = ((np.abs(XX) < inner_w) &\n", + " (np.abs(YY) < inner_h))\n", + " shell_mask = ~inner_mask if shell_layers else np.zeros_like(F, bool)\n", + "\n", + " # 4) Desired filled area in INNER region --------------------------\n", + " A_inner = inner_w * 2 * inner_h * 2\n", + " target_area = area_fraction * A_inner\n", + "\n", + " # 5) Bisection to find threshold t so A == target_area ------------\n", + " lo, hi = F.min(), F.max()\n", + " t = 0.0\n", + " for _ in range(max_iter):\n", + " t = 0.5 * (lo + hi)\n", + " mask_core = (F >= t) & inner_mask\n", + " A, *_ = compute_area_moments(XX, YY, mask_core)\n", + " if abs(A - target_area) < tol * A_inner:\n", + " break\n", + " if A > target_area:\n", + " lo = t\n", + " else:\n", + " hi = t\n", + "\n", + " core_mask = (F >= t) & inner_mask\n", + " final_mask = core_mask | shell_mask\n", + "\n", + " # 6) Section properties ------------------------------------------\n", + " A_tot, x_c, y_c, Ix, Iy, Ixy, J = compute_area_moments(XX, YY, final_mask)\n", + "\n", + " # 7) Optional plot ------------------------------------------------\n", + " if plot:\n", + " plt.figure(figsize=(6, 6))\n", + " plt.imshow(np.where(final_mask, 1.0, np.nan),\n", + " origin='lower',\n", + " extent=[-width / 2, width / 2, -height / 2, height / 2],\n", + " interpolation='none')\n", + " plt.title(f\"Radial equal-area infill (z = {z_height:.2f} mm)\\n\"\n", + " f\"area = {area_fraction*100:.1f}% of inner; Ix ≈ Iy\")\n", + " plt.xlabel(\"x [mm]\")\n", + " plt.ylabel(\"y [mm]\")\n", + " plt.gca().set_aspect('equal', 'box')\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " # 8) Console report ----------------------------------------------\n", + " print(\"=== Radial equal-area infill ===\")\n", + " print(f\"Slice @ z : {z_height:6.2f} mm\")\n", + " print(f\"Area fraction (target) : {area_fraction:6.3f}\")\n", + " print(f\"Filled area : {A_tot:8.3f} mm²\")\n", + " print(f\"Centroid (x̄,ȳ) : ({x_c:6.2f} , {y_c:6.2f}) mm\")\n", + " print(f\"Ix , Iy : {Ix:8.3f} , {Iy:8.3f} mm⁴\")\n", + " print(f\"|Ix − Iy| / Ix : {abs(Ix-Iy)/Ix:8.2e}\")\n", + " print(f\"Ixy : {Ixy:8.3f} mm⁴\")\n", + " print(\"\")\n", + " return final_mask\n", + "\n", + "\n", + "# ----------------------------------------------------------------------\n", + "# DEMO: comment or delete after testing\n", + "# ----------------------------------------------------------------------\n", + "if __name__ == \"__main__\":\n", + " width = 20.0 # square coupon 20 × 20 mm\n", + " shell_layers = 3\n", + " layer_width = 0.4\n", + " z_values = np.linspace(0.0, 10.0, 5) # 5 Z-slices\n", + " area_fraction = 0.30 # 30 % of inner area\n", + "\n", + " for z in z_values:\n", + " radial_equal_area_infill_rectangular(\n", + " width=width,\n", + " height=width,\n", + " area_fraction=area_fraction,\n", + " z_height=z,\n", + " shell_layers=shell_layers,\n", + " layer_width=layer_width,\n", + " plot=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e7f0e3ec-7f4b-462d-8ab7-a9d123a5ec0d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "\n", + "def generate_radial_equal_area_volume(\n", + " *,\n", + " width=20.0,\n", + " height=20.0,\n", + " thickness=10.0,\n", + " base_period=6.0,\n", + " grid_N=100,\n", + " layer_count=100,\n", + " area_fraction=0.30,\n", + " tol=1e-4,\n", + " max_iter=40\n", + "):\n", + " \"\"\"\n", + " Generates a 3D binary volume of the radial infill pattern\n", + " without perimeter shells. Volume shape: (Z, Y, X)\n", + " \"\"\"\n", + " xs = np.linspace(-width / 2, width / 2, grid_N)\n", + " ys = np.linspace(-height / 2, height / 2, grid_N)\n", + " zs = np.linspace(0.0, thickness, layer_count)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + " r = np.hypot(XX, YY)\n", + "\n", + " inner_area = width * height\n", + " target_area = area_fraction * inner_area\n", + "\n", + " filled_volume = []\n", + "\n", + " for z in zs:\n", + " phi = 2.0 * np.pi * z / base_period\n", + " k = 2.0 * np.pi / base_period\n", + " F = np.sin(k * r + phi)\n", + "\n", + " # binary search for threshold\n", + " lo, hi = F.min(), F.max()\n", + " for _ in range(max_iter):\n", + " t = 0.5 * (lo + hi)\n", + " mask = (F >= t)\n", + " A = np.count_nonzero(mask) * (width / grid_N) * (height / grid_N)\n", + " if abs(A - target_area) < tol * inner_area:\n", + " break\n", + " if A > target_area:\n", + " lo = t\n", + " else:\n", + " hi = t\n", + "\n", + " filled_volume.append(mask.astype(np.uint8))\n", + "\n", + " return np.stack(filled_volume, axis=0) # shape: (Z, Y, X)\n", + "\n", + "\n", + "def plot_3d_binary_volume(volume, threshold=0.5, step=2):\n", + " \"\"\"\n", + " Uses matplotlib to render a 3D surface of the filled voxels.\n", + " \"\"\"\n", + " z_dim, y_dim, x_dim = volume.shape\n", + " fig = plt.figure(figsize=(10, 8))\n", + " ax = fig.add_subplot(111, projection=\"3d\")\n", + "\n", + " ax.set_title(\"Radial Equal-Area Infill – 3D View\")\n", + " ax.set_xlabel(\"X\")\n", + " ax.set_ylabel(\"Y\")\n", + " ax.set_zlabel(\"Z\")\n", + "\n", + " ax.view_init(elev=30, azim=45)\n", + "\n", + " for z in range(0, z_dim, step):\n", + " mask = volume[z]\n", + " y_idx, x_idx = np.nonzero(mask)\n", + " x = x_idx - x_dim / 2\n", + " y = y_idx - y_dim / 2\n", + " z_layer = np.full_like(x, z)\n", + " ax.scatter(x, y, z_layer, color='black', s=1, alpha=0.5)\n", + "\n", + " plt.tight_layout()\n", + " plt.show()\n", + "\n", + "\n", + "# -------------------------------\n", + "# Run the 3D visualization\n", + "# -------------------------------\n", + "if __name__ == \"__main__\":\n", + " volume = generate_radial_equal_area_volume(\n", + " width=20.0,\n", + " height=20.0,\n", + " thickness=10.0,\n", + " base_period=6.0,\n", + " area_fraction=0.60,\n", + " grid_N=100,\n", + " layer_count=100\n", + " )\n", + "\n", + " plot_3d_binary_volume(volume)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "864d8b1e-6a0d-423b-9292-5deef913c351", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f39853ba-c914-4923-8e8c-263bcd88d933", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.13.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/software/infill_simulator.ipynb b/software/infill_simulator.ipynb new file mode 100644 index 0000000..253572f --- /dev/null +++ b/software/infill_simulator.ipynb @@ -0,0 +1,840 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "cbaa6f21-27f8-41d9-8030-78f8b3a587b8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 0.0% ===\n", + "Total Area (approx) = 46.3923 mm²\n", + "Shell Area (approx) = 31.2661 mm²\n", + "Infill Area (approx) = 15.1262 mm²\n", + "Centroid (x_c, y_c) = (0.0410, -0.0067)\n", + "I_x (about centroid) = 529.1912\n", + "I_y (about centroid) = 526.7176\n", + "I_xy (product) = 0.6072\n", + "Polar moment, J = 1055.9088\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 15.2% ===\n", + "Total Area (approx) = 54.1982 mm²\n", + "Shell Area (approx) = 31.2661 mm²\n", + "Infill Area (approx) = 22.9320 mm²\n", + "Centroid (x_c, y_c) = (0.0174, -0.0001)\n", + "I_x (about centroid) = 575.6136\n", + "I_y (about centroid) = 574.8561\n", + "I_xy (product) = 0.1255\n", + "Polar moment, J = 1150.4696\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 35.7% ===\n", + "Total Area (approx) = 51.5254 mm²\n", + "Shell Area (approx) = 31.2661 mm²\n", + "Infill Area (approx) = 20.2593 mm²\n", + "Centroid (x_c, y_c) = (-0.0067, -0.0459)\n", + "I_x (about centroid) = 554.8102\n", + "I_y (about centroid) = 550.3740\n", + "I_xy (product) = -3.2256\n", + "Polar moment, J = 1105.1842\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 63.1% ===\n", + "Total Area (approx) = 53.5248 mm²\n", + "Shell Area (approx) = 31.2661 mm²\n", + "Infill Area (approx) = 22.2587 mm²\n", + "Centroid (x_c, y_c) = (0.0024, 0.0276)\n", + "I_x (about centroid) = 567.0206\n", + "I_y (about centroid) = 579.3010\n", + "I_xy (product) = -1.8171\n", + "Polar moment, J = 1146.3216\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Gyroid Infill 100.0% ===\n", + "Total Area (approx) = 47.2145 mm²\n", + "Shell Area (approx) = 31.2661 mm²\n", + "Infill Area (approx) = 15.9484 mm²\n", + "Centroid (x_c, y_c) = (-0.0006, 0.0005)\n", + "I_x (about centroid) = 534.3228\n", + "I_y (about centroid) = 535.7847\n", + "I_xy (product) = -0.0399\n", + "Polar moment, J = 1070.1076\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " dx = XX[0, 1] - XX[0, 0]\n", + " dy = YY[1, 0] - YY[0, 0]\n", + " dA = dx * dy\n", + "\n", + " A = np.count_nonzero(mask) * dA\n", + " if A == 0:\n", + " return A, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0\n", + "\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + " x_c = np.sum(x_vals * dA) / A\n", + " y_c = np.sum(y_vals * dA) / A\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = np.sum((y_shift**2) * dA)\n", + " I_y = np.sum((x_shift**2) * dA)\n", + " I_xy = np.sum((x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return A, x_c, y_c, I_x, I_y, I_xy, J\n", + "\n", + "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n", + " A_total = width ** 2\n", + " shell_thickness = 2 * layer_width * shell_layers\n", + " A_shell = A_total - (width - shell_thickness) ** 2\n", + " r = (A_total / A_shell) ** (1 / (steps - 1))\n", + " return [(A_shell * r**i - A_shell) / (A_total - A_shell) for i in range(steps)]\n", + "\n", + "def gyroid_infill_rectangular_with_shell(\n", + " width,\n", + " height,\n", + " infill_fraction, # Now passed as 0.0 to 1.0\n", + " z_height=0.0,\n", + " line_thickness=0.1,\n", + " shell_layers=3,\n", + " layer_width=0.4,\n", + " plot=True\n", + "):\n", + " base_frequency = 1.0\n", + " max_multiplier = 5.0\n", + " #scale_factor = base_frequency + (max_multiplier - 1.0) * infill_fraction\n", + " scale_factor = base_frequency / np.sqrt(1.0 - 0.999 * infill_fraction)\n", + "\n", + "\n", + " N = 400\n", + " xs = np.linspace(-width / 2, width / 2, N)\n", + " ys = np.linspace(-height / 2, height / 2, N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " x_s = scale_factor * XX\n", + " y_s = scale_factor * YY\n", + " z_s = scale_factor * z_height\n", + "\n", + " f_vals = (np.sin(x_s) * np.cos(y_s)\n", + " + np.sin(y_s) * np.cos(z_s)\n", + " + np.sin(z_s) * np.cos(x_s))\n", + "\n", + " if infill_fraction >= 1.0:\n", + " line_mask = np.ones_like(f_vals, dtype=bool)\n", + " else:\n", + " line_mask = np.abs(f_vals) < line_thickness\n", + "\n", + " shell_thickness = shell_layers * layer_width\n", + " inner_w = width / 2 - shell_thickness\n", + " inner_h = height / 2 - shell_thickness\n", + "\n", + " shell_mask = (\n", + " (np.abs(XX) >= inner_w) |\n", + " (np.abs(YY) >= inner_h)\n", + " )\n", + "\n", + " inner_mask = (\n", + " (np.abs(XX) < inner_w) &\n", + " (np.abs(YY) < inner_h)\n", + " )\n", + "\n", + " gyroid_mask = line_mask & inner_mask\n", + " final_mask = shell_mask | gyroid_mask\n", + "\n", + " A_total, x_c, y_c, I_x, I_y, I_xy, J = compute_area_moments(XX, YY, final_mask)\n", + " A_shell, *_ = compute_area_moments(XX, YY, shell_mask)\n", + "\n", + " if plot:\n", + " plt.figure(figsize=(6, 6))\n", + " pattern_img = np.where(final_mask, 1.0, np.nan)\n", + " plt.imshow(\n", + " pattern_img,\n", + " origin='lower',\n", + " extent=[-width / 2, width / 2, -height / 2, height / 2],\n", + " interpolation='none'\n", + " )\n", + " plt.title(\n", + " f\"Gyroid Infill @ {infill_fraction*100:.1f}%\\nShells={shell_layers}×{layer_width}mm\"\n", + " )\n", + " plt.xlabel(\"X (mm)\")\n", + " plt.ylabel(\"Y (mm)\")\n", + " plt.gca().set_aspect('equal', 'box')\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " print(f\"=== Gyroid Infill {infill_fraction*100:.1f}% ===\")\n", + " print(f\"Total Area (approx) = {A_total:.4f} mm²\")\n", + " print(f\"Shell Area (approx) = {A_shell:.4f} mm²\")\n", + " print(f\"Infill Area (approx) = {A_total - A_shell:.4f} mm²\")\n", + " print(f\"Centroid (x_c, y_c) = ({x_c:.4f}, {y_c:.4f})\")\n", + " print(f\"I_x (about centroid) = {I_x:.4f}\")\n", + " print(f\"I_y (about centroid) = {I_y:.4f}\")\n", + " print(f\"I_xy (product) = {I_xy:.4f}\")\n", + " print(f\"Polar moment, J = {J:.4f}\")\n", + " print()\n", + "\n", + " return final_mask\n", + "\n", + "# Run the 5-step gyroid fill pattern demo\n", + "if __name__ == \"__main__\":\n", + " width = 10\n", + " shell_layers = 2\n", + " layer_width = 0.42\n", + " line_thickness = 0.42\n", + " z_height = 8\n", + "\n", + " fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=5)\n", + "\n", + " for f in fractions:\n", + " gyroid_infill_rectangular_with_shell(\n", + " width=width,\n", + " height=width,\n", + " infill_fraction=f,\n", + " z_height=z_height,\n", + " line_thickness=line_thickness,\n", + " shell_layers=shell_layers,\n", + " layer_width=layer_width,\n", + " plot=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "930e3d34-6f51-461c-86fb-c0c9f5f4ef29", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "da593f73-5609-43ec-8ca2-d877d41eb25d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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hq6++wuzZs4v90i3vtS0sLIRKpcIPP/xQ4rpP34elPI8ePUJGRoZe67q6uhareePGDfTu3RtOTk7YtWtXuXtKp06digMHDqB379749ttvsWDBAkybNq3Yen99HZ/+ZX/79m288sorpdbIysrC3LlzERgYiOzs7KK9XPfv34cQAteuXYOtrS3q1q2rs92ePXswcuRI9O3bt8y9cqW9Rvp+Xz7r9mQ4ePiJqlW/fv1w+fJl/Prrr+Wu++Qv4MzMTJ3lf/zxR6nbJCUl6Xx+6dIlFBYWFrtr6195enrqHbSMjaOjY9FJpi4uLlCr1bh8+bLOOn/ddf7DDz/g3r17ePXVV0t9TgsLC7Rs2RLHjx8v9thvv/2GJk2alPmL86WXXoKVlVWx7R89eoT4+Hi0adOm1G2fnFQ9fPhwAEBycrJOCKpXrx5u3bpV6vZlsbOzw9ChQ7FmzRpcv34dffv2xWeffVbhG7x5enpCCAEPDw/07Nmz2EenTp0q9HyHDx+Gu7u7Xh83btzQ2TY9PR29e/dGfn4+/vvf/xYFkdJ8/vnnWLhwIebMmYP//ve/mDhxIqZPn17ifaOevE5Pv47Jycm4efNmma/jvXv3cP/+fSxcuBAeHh5FH9u2bcODBw/g4eEBf39/nW1+++03/OMf/0D79u2xZcsWWFnxb3AqH0MNVasnN9jy8/PDnTt3ij1++fJlLF26FMCfv5Dr1KmDAwcO6Kzz1Vdflfr8UVFROp8/OV+kT58+pW4zcOBAnD59Gjt27Cj2mLH/Bda8eXP89ttvAP78K/Pvf/87Pv74Yxw4cABXr15FSEgITp48iZycHKxZswbvv/8+Pv3006JDhaUZNGgQjh07pvML7cKFC9i3bx8GDx6ss+758+dx/fr1os+dnJzQs2dPbNiwQedQ5Pr163H//v1i2z9x8eJFLF++HEuXLi3aA+fm5obz588XrXPu3LlK3VQuPT1d5/MaNWqgRYsWEEJAq9VW6LneffddWFpaIiwsrNj7RwhRrFZ5KntOTW5uLt5++23cunULu3btKvVw2BOxsbGYNm0aJk2ahE8//RQA8OWXX8Lb2xsffvhhsSuTXnzxRXh5eWHlypU6e0+jo6OhUqkwaNCgomVZWVk4f/58UcCuW7cuduzYUeyje/fusLGxwY4dOzB9+vSi7c+dO4e+ffuicePG2LlzZ7mHtoieYPSlauXp6YlNmzZh6NChaN68uc4dhQ8fPoytW7fqzMvk5+eHBQsWwM/PD+3bt8eBAwdw8eLFUp//6tWr6N+/P9566y38+uuv2LBhA4YNG4bWrVuXus2UKVPw73//G4MHD4avry9efvllZGRk4Ntvv8WKFSvK3NbQ9evXD6tXr0ZQUBBUKhUWL16M3r17F5342apVK/j7+yMmJgYHDhzAnDlzMH78+HKfNzAwELGxsejbty8++eQTqNVqfPnll3Bzc8PHH3+ss27z5s3RrVs3/Pzzz0XLPvvsM3Tu3BndunWDv78/bt68iS+++AK9e/fGW2+9VWLNSZMmYejQoTqHNQYNGoQBAwZgxowZAP68ZcDOnTuLHl+7di18fHywZs2aMuf76t27NzQaDbp06QI3NzecO3cOy5cvR9++fSt8Yrunpyfmzp2L6dOn49q1a3jnnXfg4OCAq1evYseOHfD39y86z0kflT2nZvjw4Th69Ch8fX1x7tw5nDt3rugxe3v7okN2wJ/nuU2dOhU+Pj744osviparVCqsWrUKmZmZ+Pjjj/HOO+/oXNYdERGB/v37o3fv3njvvfdw9uxZLF++HH5+fmjevHnRejt27NB5HWxtbXXqP/Gf//wHR48eLdbbm2++iXv37mHKlCn4/vvvdbbx9PQsc88imTlFrrkis3Px4kUxZswY0bhxY1GjRg3h4OAgunTpIiIjI3VuhvXgwQMxevRo4eTkJBwcHMSQIUPE3bt3S72kOzExUQwaNEg4ODgIZ2dnMW7cOL1uvpeeni7GjRsnnnvuOVGjRg1Rv359MWrUKJGWllbm11HWzfee9nTPMi7pvnfvnnByctK5S7NWqxW//fabOHHihCgoKBDXrl0TCQkJ4vHjx2U+19Nu3LghBg0aJBwdHYW9vb3o16+fSEpKKrYeANGtW7diyw8ePCg6d+4sbGxshKurqwgKCir1UvLvv/9e2Nvbl3gX6vnz54t69eoJd3d38fnnn+s8FhkZKQCIH3/8scyvJSYmRnTt2lW4uLgIa2tr4enpKaZMmaJzx+PS7ihc2muxbds28dprrwk7OzthZ2cnvLy8RFBQkLhw4ULROtV5871GjRqVeun30zWF+POS89LeAw8fPiz1DsE7duwQbdq0EdbW1qJ+/fpi1qxZOpdTC/F/Y1TS7Rn+qqRLup98T5X28dfv5SeXdG/durXE+k9/r5X0muL/33yvpB6e/r4urR4ZDpUQRr6/nYh0bNmyBcOHD0dkZGSxy5GfuH79Om7evFltN0VUypAhQ3Dt2jUcPXpU6VaISAE8/ERkYoYMGYKsrCwEBgZi48aN8PPzQ4cOHWBvb48//vgD33zzDWJiYtCnTx+TCjVCCPz888/YsGGD0q0QkUK4p4bIRJ05cwaffvopfvzxR517izRr1gwff/wx/Pz8DGL2ciKiqsJQQ2TicnNzcfHiRdy/fx/169eHh4eH0i0REVULhhoiIiIyCdz3TERERCaBoYaIiIhMglld/VRYWIjk5GQ4ODgoNkcQERERVYwQAjk5OahXr16ZFziYVahJTk4uNhEbERERGYcbN26gfv36pT5uVqHmye3Pb9y4Ue5cN89Cq9Vi9+7d6N27N9RqdbXVqagBTiOVbkGHVU01fFe/i7jR2/E4r2Lz7ZgTjpN+OE764TiVz5DH6JusfyrdQhGZv+uys7PRoEGDcqcxMatQ8+SQk6OjY7WHGltbWzg6OhpUqLFSGU4vAKBWqWFrawu1Sg3waGCpOE764Tjph+NUPkMeo+r83VVRSvyuK+/UEZ4oTERERCaBoYaIiIhMAkMNERERmQSGGiIiIjIJDDVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMAkMNERERmQSGGiIiIjIJDDVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMAkMNERERmQSGGiIiIjIJDDVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMAkMNERERmQSGGiIiIjIJVko3QKSP/mFvwNaxptJtKEKl+vPfQfN7QwhlezFkHCf9cJzKV9YYnd1/AWf/c0l+U6QXhhoyCpeOXcXCreGwtrZWuhXptFotdu3ahREfDodarVa6HYPFcdIPx6l8ZY3RaqxlqDFgRnv4acGCBVCpVJg4caLSrZAEiTuvYlzPKRD805KIiEphlKHm2LFjiImJQatWrZRuhST64/BtfNDKX+k2iIjIQBldqLl//z6GDx+O2NhYODs7K90OSSQEcDcxE0ObjVa6FSIiMkBGd05NUFAQ+vbti549e2Lu3Lllrpufn4/8/Pyiz7OzswH8ebxUq9VWW49Pnrs6a1SGuqZhHT9X17TS+VdfOcl5GNE2AHFHI6ujLYNjqO8nQ8Nx0g/HqXxljZFKpezPUkN63WS+l/StoRJGdJLC119/jc8++wzHjh2DjY0NXn/9dbRp0wZLliwpcf3Q0FCEhYUVW75p0ybY2tpWc7dERERUFR48eIBhw4YhKysLjo6Opa5nNKHmxo0baN++Pfbs2VN0Lk15oaakPTUNGjRAWlpamYPyrLRaLfbs2YNevXoZ1NUFA2qNUroFHeqaVvBdPRBxo7dBm/e4Us/x/Bv1Eb5hpkmHVEN9PxkajpN+OE7lK2uM1kdvxL+n71aoM+CbzHWK1X6azPdSdnY26tSpU26oMZrDTydOnMDdu3fRrl27omUFBQU4cOAAli9fjvz8fFhaWupsY21tXeIlwGq1Wso3s6w6+tLmGc5uy7/S5j2udG/nvr+KzwIWYVrUJNSuXbuKOzMshvZ+MlQcJ/1wnMpX0hgJoezPUkN8zWS8l/R9fqMJNT169MCZM2d0lvn4+MDLywtTp04tFmjIfJzafB6L7aLw0byxqFu3rtLtEBGRQowm1Dg4OOCll17SWWZnZwcXF5diy8n8HIlLgNp6Nfw/9YFGo1G6HSIiUoDRXdJNVJqD0SexIiwOqampSrdCREQKMJo9NSX5+eeflW6BDMyhmFPQPvwKUxZPQK1atZRuh4iIJOKeGjI5R9edRbjfQuTl5SndChERScRQQyYpYXsSJvWbgYKCAqVbISIiSRhqyGRd/ukmfDoEKd0GERFJwlBDUrwT3gPN3/aQXjfldDree4FzRRERmQOGGpLCzskWEdvC0bCTm9S6QgDpl7IZbIiIzABDDUljbW2N2F+WoY6XE1QqiYUFkHEpGyPbBfAcGyIiE8ZQQ1JZWFjgX4mr4NTYAZAYbIQAbsenI7DnZF4VRURkohhqSBFbL8ehtqeD9LpX9idj1ohwZGZmSq9NRETVi6GGFLPm+HJF6iZsT0LEpKW88zARkYlhqCHFNen2nPSaR9edRdTsWKSkpEivTURE1YOhhhQ3d9NMtB7UTHrdQzGnsDJ8De7evSu9NhERVT2GGlKcnZ0dpkdPRkfvltJrH4w+icgZMcjIyJBem4iIqhZDDRkEFxcXjJvnjy7+baXXPhKXgAVBi5Gbmyu9NhERVR2GGjIYGo0GY0N80NmvtfTapzafR/DA2dBqtdJrExFR1WCoIYPi7u6OwPAxaP9BC+m1L+6+Dv8uE6TXJSKiqsFQQwbHzc0NwUsn4sUBntJr3zqRivdb+EmvS0REz46hhgySs7Mz5m2cDY+u9aTWFQJIu5CFoc04VxQRkbFhqCGDZWtri+i9X0LTykX+XFGXszG85RgIISQWJiKiZ8FQQwbN0tIS6+NXoFYTuXNFQQCpiZnw7zoB+fn5EgsTEVFlMdSQUdiSFAfnJg5S99gIAVw7dBvBgz9FTk6OvMJERFQpDDVkNLYkxcGtpYv0uok7r2Je0CKkpaVJr01ERPpjqCGjsvZElPSThwHg+IZERM6MwZ07d6TXJiIi/TDUkFGxtLTEkl3zFbnc+3BsPGLmxDHYEBEZKIYaMjq2trYIiZuqyA36DkafxFezV/FQFBGRAWKoIaPk7OyMiRGBikypcDg2Hl9MjuTJw0REBoahhoyWm5sbAsJGKzIJ5vENiZg1PJyXexMRGRCGGjJq7u7uCAj1RUfvltJrJ+68inE9p/AGfUREBoKhhoyeRqPBpIggtB7UTHrtPw7fxget/KXXJSKi4hhqyCS4uLggNG46mvZqKLWuEMDdxEzOFUVEZAAYashk2NvbY+nOBXBvW0eRuaI4uzcRkbIYasikqNVq/PNENGo/7yh9rqj0C1nweSUQjx8/lliYiIieYKghk/T1hdWo1VjuJJhCADePp2JCv6nIzc2VV5iIiAAw1JAJ23o5Dq5etaTXvbj7OsL8FiAjI0N6bSIic8ZQQyZt49mVaNjJTXrdU5vPY3FwFO7evSu9NhGRuWKoIZOmUqkQtW8RvPo0ll77SFwCVoStRkpKivTaRETmiKGGTJ6NjQ3mbpqFtu95Sa99MPokVoTFITU1VXptIiJzw1BDZsHJyQlTlo7Hq6PlzxV1KOYUlgR/hczMTOm1iYjMCUMNmQ1XV1cEhvuh85g20msfXXcW4X4LkZeXJ702EZG5YKghs6LRaBAQ6otOvq2k107YnoRJ/WagoKBAem0iInPAUENmx93dHePnByhyjs3ln27Cp0OQ9LpEROaAoYbMkqurK2ZGf4Lmb3tIr51yOh3vvcC5ooiIqhpDDZktJycnRGwLl34fGyGA9EvZDDZERFWMoYbMmrW1NWJ/WYY6Xk7yJ8G8lI2R7QJ4jg0RURVhqCGzZ2FhgX8lroKTAnNF3Y5PR2DPybwqioioCjDUEP1/Wy/HwaWpo9w9NgCu7E/GrBHhvI8NEdEzYqgh+ouvz6+Gpk0d6XUTtichYtJS3nmYiOgZMNQQPWX1kWV4vkcD6XWPrjuLqNmxnCuKiKiSGGqInqJWqxGxYw5aD2omvfahmFNYGb6Gs3sTEVUCQw1RCezt7TE9ejI6ereUXvtg9ElEzohBRkaG9NpERMaMoYaoFC4uLhg3zx9d/NtKr30kLgELghYjNzdXem0iImPFUENUBo1Gg7EhPujsJ39271ObzyN44GxotVrptYmIjBFDDVE53N3dERg+Bu0/aCG99sXd1zGh91TpdYmIjBFDDZEe3NzcELx0Il4c4Cm9dnJ8uvSaRETGiKGGSE/Ozs6Yt3E2PLrWk1pXiD//9W43TmpdIiJjw1BDVAG2traI3vslNK1cpN95+N7VHAxvOQbiScohIiIdDDVEFWRpaYn18StQq4ncuaIggNTETPh3nYD8/HyJhYmIjANDDVElbUmKg3MTB6l7bIQArh26jeDBnyInJ0deYSIiI8BQQ/QMtiTFwa2li/S6iTuvYl7QIqSlpUmvTURkqBhqiJ7R2hNR0k8eBoDjGxIROTMGd+7ckV6biMgQMdQQPSNLS0ss2TVfkcu9D8fGI2ZOHIMNEREYaoiqhK2tLULipipyg76D0Sfx1exVPBRFRGaPoYaoijg7O2NiRKAiUyocjo3HF5MjefIwEZk1hhqiKuTm5oaAsNGKTIJ5fEMiZg0P5+XeRGS2jCbUzJ8/Hx06dICDgwPq1q2Ld955BxcuXFC6LaJi3N3dERDqi47eLaXXTtx5FeN6TuEN+ojILBlNqNm/fz+CgoJw5MgR7NmzB1qtFr1790Zubq7SrREVo9FoMCkiCK0HNZNe+4/Dt/FBK3/pdYmIlGY0oebHH3+Et7c3XnzxRbRu3Rpr167F9evXceLECaVbIyqRi4sLQuOmo2mvhlLrCgHcTczE0GajpdYlIlKaldINVFZWVhYAoHbt2qWuk5+fr3N+QXZ2NgBAq9VCq9VWW29Pnrs6a1SGuqZaueKq4uNhqONUlaytrbFoRzjG9QjGnTMZqMxRIXVNK51/9ZWTnIcRbQMQdzSy4kWNkDm8n6oCx6l8ZY2RSqXsz1JDet1kvpf0raESRnjwvbCwEP3790dmZiZ++eWXUtcLDQ1FWFhYseWbNm2Cra1tdbZIREREVeTBgwcYNmwYsrKy4OjoWOp6RhlqPvzwQ/zwww/45ZdfUL9+/VLXK2lPTYMGDZCWllbmoDwrrVaLPXv2oFevXlCrFdw78pQBtUYpVnvIwrcw3P99nWWGOk7VaVTrIGRevw9U4LtOXdMKvqsHIm70NmjzHleq7vNv1Ef4hpkmHebN8f1UGRyn8pU1RuujN+Lf03cr1BnwTeY6xWo/TeZ7KTs7G3Xq1Ck31Bjd4adx48Zh586dOHDgQJmBBvhz17+1tXWx5Wq1Wso3s6w6+tLmKbjbUqDUsTC0capOmxJXYtiLY5B6LrPC22rzHlf6NTz3/VV8FrAI06ImlXnI1hSY0/vpWXCcylfSGAmh7M9SQ3zNZLyX9H1+ozlRWAiBcePGYceOHdi3bx88PDyUbomoUjaeXYmGndyk1z21+TwWB0fh7t270msTEclgNKEmKCgIGzZswKZNm+Dg4ICUlBSkpKQgLy9P6daIKkSlUiFq3yJ49WksvfaRuASsCFuNlJQU6bWJiKqb0YSa6OhoZGVl4fXXX4e7u3vRx+bNm5VujajCbGxsMHfTLLR9z0t67YPRJ7EiLA6pqanSaxMRVSejCTVCiBI/vL29lW6NqFKcnJwwZel4vDpa/lxRh2JOYUnwV8jMzJRem4iouhhNqCEyRa6urggM90PnMW2k1z667izC/RbyEC4RmQyGGiKFaTQaBIT6opNvK+m1E7YnYVK/GSgoKJBem4ioqjHUEBkAd3d3jJ8foMg5Npd/ugmfDkHS6xIRVTWGGiID4erqipnRn6D52/JvV5ByOh3vvcC5oojIuDHUEBkQJycnRGwLl34fGyGA9EvZDDZEZNQYaogMjLW1NWJ/WYY6Xk5QqSQWFkDGpWyMbBfAc2yIyCgx1BAZIAsLC/wrcRWcGjsAEoONEMDt+HQE9pzMq6KIyOgw1BAZsK2X41Db00F63Sv7kzFrRDjvY0NERoWhhsjArTm+XJG6CduTEDFpKe88TERGg6GGyEg06fac9JpH151F1OxYzhVFREaBoYbISMzdNBOtBzWTXvdQzCmsDF/D2b2JyOAx1BAZCTs7O0yPnoyO3i2l1z4YfRKRM2KQkZEhvTYRkb4YaoiMiIuLC8bN80cX/7bSax+JS8CCoMXIzc2VXpuISB8MNURGRqPRYGyIDzr7yZ/d+9Tm8wgeOBtarVZ6bSKi8jDUEBkhd3d3BIaPQfsPWkivfXH3dfh3mSC9LhFReRhqiIyUm5sbgpdOxIsDPKXXvnUiFe+38JNel4ioLAw1REbM2dkZ8zbOhkfXelLrCgGkXcjC0GacK4qIDAdDDZGRs7W1RfTeL6Fp5SJ/rqjL2RjecgyEEBILExGVjKGGyARYWlpiffwK1Goid64oCCA1MRP+XScgPz9fYmEiouIYaohMyJakODg3cZC6x0YI4Nqh2wge/ClycnLkFSYiegpDDZGJ2ZIUB7eWLtLrJu68inlBi5CWlia9NhERwFBDZJLWnoiSfvIwABzfkIjImTG4c+eO9NpERAw1RCbI0tISS3bNV+Ry78Ox8YiZE8dgQ0TSMdQQmShbW1uExE1V5AZ9B6NP4qvZq3goioikYqghMmHOzs6YGBGoyJQKh2Pj8cXkSJ48TETSMNQQmTg3NzcEhI1WZBLM4xsSMWt4OC/3JiIpGGqIzIC7uzsCQn3R0bul9NqJO69iXM8pvEEfEVU7hhoiM6HRaDApIgitBzWTXvuPw7fxQSt/6XWJyLww1BCZERcXF4TGTUfTXg2l1hUCuJuYybmiiKhaMdQQmRl7e3ss3bkA7m3rKDJXFGf3JqLqwlBDZIbUajX+eSIatZ93lD5XVPqFLPi8EojHjx9LLExE5oChhsiMfX1hNWo1ljsJphDAzeOpmNBvKnJzc+UVJiKTx1BDZOa2Xo6Dq1ct6XUv7r6OML8FyMjIkF6biEwTQw0RYePZlWjYyU163VObz2NxcBTu3r0rvTYRmR6GGiKCSqVC1L5F8OrTWHrtI3EJWBG2GikpKdJrE5FpYaghIgCAjY0N5m6ahbbveUmvfTD6JFaExSE1NVV6bSIyHQw1RFTEyckJU5aOx6uj5c8VdSjmFJYEf4XMzEzptYnINDDUEJEOV1dXBIb7ofOYNtJrH113FuF+C5GXlye9NhEZP4YaIipGo9EgINQXnXxbSa+dsD0Jk/rNQEFBgfTaRGTcGGqIqETu7u4YPz9AkXNsLv90Ez4dgqTXJSLjxlBDRKVydXXFzOhP0PxtD+m1U06n470XOFcUEemPoYaIyuTk5ISIbeHS72MjBJB+KZvBhoj0xlBDROWytrZG7C/LUMfLSf4kmJeyMbJdAM+xIaJyMdQQkV4sLCzwr8RVcFJgrqjb8ekI7DmZV0URUZkYaoioQrZejoNLU0e5e2wAXNmfjFkjwnkfGyIqFUMNEVXY1+dXQ9OmjvS6CduTEDFpKe88TEQlYqghokpZfWQZnu/RQHrdo+vOImp2LOeKIqJiGGqIqFLUajUidsxB60HNpNc+FHMKK8PXcHZvItLBUENElWZvb4/p0ZPR0bul9NoHo08ickYMMjIypNcmIsPEUENEz8TFxQXj5vmji39b6bWPxCVgQdBi5ObmSq9NRIaHoYaInplGo8HYEB909pM/u/epzecRPHA2tFqt9NpEZFgYaoioSri7uyMwfAzaf9BCeu2Lu69jQu+p0usSkWFhqCGiKuPm5obgpRPx4gBP6bWT49Ol1yQiw8JQQ0RVytnZGfM2zoZH13pS6wrx57/e7cZJrUtEhoOhhoiqnK2tLaL3fglNKxfpdx6+dzUHw1uOgXiScojIbDDUEFG1sLS0xPr4FajVRO5cURBAamIm/LtOQH5+vsTCRKQ0hhoiqlZbkuLg3MRB6h4bIYBrh24jePCnyMnJkVeYiBTFUENE1W5LUhzcWrpIr5u48yrmBS1CWlqa9NpEJB9DDRFJsfZElPSThwHg+IZERM6MwZ07d6TXJiK5GGqISApLS0ss2TVfkcu9D8fGI2ZOHIMNkYljqCEiaWxtbRESN1WRG/QdjD6Jr2av4qEoIhPGUENEUjk7O2NiRKAiUyocjo3HF5MjefIwkYnSO9QkJydXZx9EZEbc3NwQEDZakUkwj29IxKzh4bzcm8gE6R1qXnzxRWzatKk6e9FLVFQUGjduDBsbG3Ts2BFHjx5VuiUiqgR3d3cEhPqio3dL6bUTd17FuJ5TeIM+IhOjd6j57LPPMHbsWAwePBgZGRnV2VOpNm/ejMmTJyMkJAQnT55E69at8eabb+Lu3buK9ENEz0aj0WBSRBBaD2omvfYfh2/jg1b+0usSUfXRO9QEBgYiISEB6enpaNGiBb777rvq7KtEX375JcaMGQMfHx+0aNECK1asgK2tLeLi4qT3QkRVw8XFBaFx09G0V0OpdYUA7iZmYmiz0VLrElH1sarIyh4eHti3bx+WL1+Od999F82bN4eVle5TnDx5skobfOLRo0c4ceIEpk+fXrTMwsICPXv2xK+//lriNvn5+TrHzbOzswEAWq0WWq22Wvp88vx//ddQqGuqlSuuKj4ehjpOhsYcxsna2hqLdoRjXI9g3DmTgcocFVLXtNL5V185yXkY0TYAcUcjK17UCJnD++lZlTVGKpWyP0sN6XWT+V7St4ZKVPCg8h9//AEfHx+cPXsWY8eOLRZqQkJCKvJ0ektOTsZzzz2Hw4cP49VXXy1aHhwcjP379+O3334rtk1oaCjCwsKKLd+0aRNsbW2rpU8iIiKqWg8ePMCwYcOQlZUFR0fHUter0J80sbGx+Pjjj9GzZ0/8/vvvcHV1feZGq9P06dMxefLkos+zs7PRoEED9O7du8xBeVZarRZ79uxBr169oFYruHfkKQNqjVKs9pCFb2G4//s6ywx1nAyNOY7TqNZByLx+H6jAn1zqmlbwXT0QcaO3QZv3uFJ1n3+jPsI3zDTpP3rM8f1UUWWN0frojfj39N0KdQZ8k7lOsdpPk/leenKkpTx6h5q33noLR48exfLlyzFy5MhKN1ZZderUgaWlZbE7gt65cwcajabEbaytrWFtbV1suVqtlvLNLKuOvrR5Cu62FCh1LAxtnAyVOY3TpsSVGPbiGKSey6zwttq8x5V+r5/7/io+C1iEaVGTULt27Uo9h7Ewp/dTZZU0RkIo+7PUEF8zGe8lfZ9f7xOFCwoKkJCQoEigAYAaNWrg5Zdfxt69e4uWFRYWYu/evTqHo4jINGw8uxINO7lJr3tq83ksDo7iVZVERkjvULNnzx7Ur1+/Onsp1+TJkxEbG4t169bh3Llz+PDDD5GbmwsfHx9F+yKiqqdSqRC1bxG8+jSWXvtIXAJWhK1GSkqK9NpEVHkVu0xAYUOHDkVqaipmz56NlJQUtGnTBj/++CPc3OT/NUdE1c/GxgZzN83CZx8uwqmvz0utfTD6JAoLBYLmjDH48weJ6E9GN/fTuHHj8McffyA/Px+//fYbOnbsqHRLRFSNnJycMGXpeLw6Wv5cUYdiTmFJ8FfIzMyUXpuIKs7oQg0RmR9XV1cEhvuh85g20msfXXcW4X4LkZeXJ702EVUMQw0RGQWNRoOAUF908m0lvXbC9iRM6jcDBQUF0msTkf4YaojIaLi7u2P8/AC0fc9Leu3LP92ET4cg6XWJSH8MNURkVFxdXTEz+hM0f9tDeu2U0+l47wXOFUVkqBhqiMjoODk5IWJbuPT72AgBpF/KZrAhMlAMNURklKytrRH7yzLU8XKCSiWxsAAyLmVjZLsAnmNDZGAYaojIaFlYWOBfiavg1NgBkBhshABux6cjsOdkXhVFZEAYaojI6G29HIfang7S617Zn4xZI8J5HxsiA8FQQ0QmYc3x5YrUTdiehIhJS5GamqpIfSL6Pww1RGRSmnR7TnrNo+vOImp2LOeKIlIYQw0RmZS5m2ai9aBm0useijmFleFrOLs3kYIYaojIpNjZ2WF69GR09G4pvfbB6JOInBGDjIwM6bWJiKGGiEyQi4sLxs3zRxf/ttJrH4lLwIKgxcjNzZVem8jcMdQQkUnSaDQYG+KDzn7yZ/c+tfk8ggfOhlarlV6byJwx1BCRyXJ3d0dg+Bi0/6CF9NoXd1+Hf5cJ0usSmTOGGiIyaW5ubgheOhEvDvCUXvvWiVS838JPel0ic8VQQ0Qmz9nZGfM2zoZH13pS6woBpF3IwtBmnCuKSAaGGiIyC7a2toje+yU0rVzkzxV1ORvDW46BEEJiYSLzw1BDRGbD0tIS6+NXoFYTuXNFQQCpiZnw7zoB+fn5EgsTmReGGiIyO1uS4uDcxEHqHhshgGuHbiN48KfIycmRV5jIjDDUEJFZ2pIUB7eWLtLrJu68inlBi5CWlia9NpGpY6ghIrO19kSU9JOHAeD4hkREzozBnTt3pNcmMmUMNURktiwtLbFk13xFLvc+HBuPmDlxDDZEVYihhojMmq2tLULipipyg76D0Sfx1exVPBRFVEUYaojI7Dk7O2NiRKAiUyocjo3HF5MjefIwURVgqCEiwp93Hg4IG63IJJjHNyRi1vBwXu5N9IwYaoiI/j93d3cEhPqio3dL6bUTd17FuJ5TeIM+omfAUENE9BcajQaTIoLQelAz6bX/OHwbH7Tyl16XyFQw1BARPcXFxQWhcdPRtFdDqXWFAO4mZnKuKKJKYqghIiqBvb09lu5cAPe2dRSZK4qzexNVHEMNEVEp1Go1/nkiGrWfd5Q+V1T6hSz4vBKIx48fSyxMZNwYaoiIyvH1hdWo1VjuJJhCADePp2JCv6nIzc2VV5jIiDHUEBHpYevlOLh61ZJe9+Lu6wjzW4CMjAzptYmMDUMNEZGeNp5diYad3KTXPbX5PBYHR+Hu3bvSaxMZE4YaIiI9qVQqRO1bBK8+jaXXPhKXgBVhq5GSkiK9NpGxYKghIqoAGxsbzN00C23f85Je+2D0SawIi0Nqaqr02kTGgKGGiKiCnJycMGXpeLw6Wv5cUYdiTmFJ8FfIzMyUXpvI0DHUEBFVgqurKwLD/dB5TBvptY+uO4twv4XIy8uTXpvIkDHUEBFVkkajQUCoLzr5tpJeO2F7Eib1m4GCggLptYkMFUMNEdEzcHd3x/j5AYqcY3P5p5vw6RAkvS6RoWKoISJ6Rq6urpgZ/Qmav+0hvXbK6XS89wLniiICGGqIiKqEk5MTIraFS7+PjRBA+qVsBhsiMNQQEVUZa2trxP6yDHW8nORPgnkpGyPbBfAcGzJrDDVERFXIwsIC/0pcBScF5oq6HZ+OwJ6TeVUUmS2GGiKiarD1chxcmjrK3WMD4Mr+ZMwaEc772JBZYqghIqomX59fDU2bOtLrJmxPQsSkpbzzMJkdhhoiomq0+sgyPN+jgfS6R9edRdTsWM4VRWaFoYaIqBqp1WpE7JiD1oOaSa99KOYUVoav4ezeZDYYaoiIqpm9vT2mR09GR++W0msfjD6JyBkxyMjIkF6bSDaGGiIiCVxcXDBunj+6+LeVXvtIXAIWBC1Gbm6u9NpEMjHUEBFJotFoMDbEB5395M/ufWrzeQQPnA2tViu9NpEsDDVERBK5u7sjMHwM2n/QQnrti7uvY0LvqdLrEsnCUENEJJmbmxuCl07EiwM8pddOjk+XXpNIFoYaIiIFODs7Y97G2fDoWk9qXSH+/Ne73TipdYlkYKghIlKIra0tovd+CU0rF+l3Hr53NQfDW46BeJJyiEwAQw0RkYIsLS2xPn4FajWRO1cUBJCamAn/rhOQn58vsTBR9WGoISIyAFuS4uDcxEHqHhshgGuHbiN48KfIycmRV5iomjDUEBEZiC1JcXBr6SK9buLOq5gXtAhpaWnSaxNVJYYaIiIDsvZElPSThwHg+IZERM6MwZ07d6TXJqoqDDVERAbE0tISS3bNV+Ry78Ox8YiZE8dgQ0aLoYaIyMDY2toiJG6qIjfoOxh9El/NXsVDUWSUGGqIiAyQs7MzJkYEKjKlwuHYeHwxOZInD5PRYaghIjJQbm5uCAgbrcgkmMc3JGLW8HBe7k1GxShCzbVr1zB69Gh4eHigZs2a8PT0REhICB49eqR0a0RE1crd3R0Bob7o6N1Seu3EnVcxrucU3qCPjIZRhJrz58+jsLAQMTEx+P3337F48WKsWLECM2bMULo1IqJqp9FoMCkiCK0HNZNe+4/Dt/FBK3/pdYkqwyhCzVtvvYU1a9agd+/eaNKkCfr3749PPvkE27dvV7o1IiIpXFxcEBo3HU17NZRaVwjgbmImhjYbLbUuUWVYKd1AZWVlZaF27dplrpOfn69zPDg7OxsAoNVqodVqq623J89dnTUqQ11TrVxxVfHxMNRxMjQcJ/2YwzhZW1tj0Y5wjOsRjDtnMlCZo0LqmlY6/+orJzkPI9oGIO5oZMWLGpmy3ksqlbI/Sw3p/S3ze07fGiphhAdLL126hJdffhmLFi3CmDFjSl0vNDQUYWFhxZZv2rQJtra21dkiERERVZEHDx5g2LBhyMrKgqOjY6nrKRpqpk2bhs8//7zMdc6dOwcvL6+iz2/duoVu3brh9ddfx6pVq8rctqQ9NQ0aNEBaWlqZg/KstFot9uzZg169ekGtVnDvyFMG1BqlWO0hC9/CcP/3dZYZ6jgZGo6TfsxxnEa1DkLm9ftABX6Kq2tawXf1QMSN3gZt3uNK1X3+jfoI3zDTZP84LOu9tD56I/49fbdCnQHfZK5TrPbTZH7PZWdno06dOuWGGkUPP3388cfw9vYuc50mTZoU/T85ORndu3dH586dsXLlynKf39raGtbW1sWWq9VqKT/0ZNXRlzZPwd2WAqWOhaGNk6HiOOnHnMZpU+JKDHtxDFLPZVZ4W23e40r/TDj3/VV8FrAI06ImlXsagDEr6b0khLI/Sw3xvS3je07f51c01Li6usLV1VWvdW/duoXu3bvj5Zdfxpo1a2BhYRTnOBMRVauNZ1fCr8tHuH5E7tQGpzafx2K7KHw0byzq1q0rtTZRaYwiGdy6dQuvv/46GjZsiEWLFiE1NRUpKSlISUlRujUiIkWpVCpE7VsErz6Npdc+EpeAFWGr+bOYDIZRhJo9e/bg0qVL2Lt3L+rXrw93d/eiDyIic2djY4O5m2ah7Xte5a9cxQ5Gn8SKsDikpqZKr030NKMINd7e3hBClPhBRESAk5MTpiwdj1dHy58r6lDMKSwJ/gqZmZnSaxP9lVGEGiIiKp+rqysCw/3QeUwb6bWPrjuLcL+FyMvLk16b6AmGGiIiE6LRaBAQ6otOvq2k107YnoRJ/WagoKBAem0igKGGiMjkuLu7Y/z8AEXOsbn80034dAiSXpcIYKghIjJJrq6umBn9CZq/7SG9dsrpdLz3AueKIvkYaoiITJSTkxMitoWjYSc3qXWFANIvZTPYkHQMNUREJsza2hqxvyxDHS8nqFQSCwsg41I2RrYL4Dk2JA1DDRGRibOwsMC/ElfBqbEDIDHYCAHcjk9HYM/JvCqKpGCoISIyE1svx6G2p4P0ulf2J2PWiHDex4aqHUMNEZEZWXN8uSJ1E7YnIWLSUt55mKoVQw0RkRlq0u056TWPrjuLqNmxnCuKqg1DDRGRGZq7aSZaD2omve6hmFNYGb4Gd+/elV6bTB9DDRGRGbKzs8P06Mno6N1Seu2D0ScROSMGGRkZ0muTaWOoISIyUy4uLhg3zx9d/NtKr30kLgELghYjNzdXem0yXQw1RERmTKPRYGyIDzr7yZ/d+9Tm8wgeOBtarVZ6bTJNDDVERGbO3d0dgeFj0P6DFtJrX9x9Hf5dJkivS6aJoYaIiODm5obgpRPx4gBP6bVvnUjF+y38pNcl08NQQ0REAABnZ2fM2zgbHl3rSa0rBJB2IQtDm3GuKHo2DDVERFTE1tYW0Xu/hKaVi/y5oi5nY3jLMRBCSCxMpoShhoiIdFhaWmJ9/ArUaiJ3rigIIDUxE/5dJyA/P19iYTIVDDVERFSiLUlxcG7iIHWPjRDAtUO3ETz4U+Tk5MgrTCaBoYaIiEq1JSkObi1dpNdN3HkV84IWIS0tTXptMl4MNUREVKa1J6KknzwMAMc3JCJyZgzu3LkjvTYZJ4YaIiIqk6WlJZbsmq/I5d6HY+MRMyeOwYb0wlBDRETlsrW1RUjcVEVu0Hcw+iS+mr2Kh6KoXAw1RESkF2dnZ0yMCFRkSoXDsfH4YnIkTx6mMjHUEBGR3tzc3BAQNlqRSTCPb0jErOHhvNybSsVQQ0REFeLu7o6AUF909G4pvXbizqsY13MKb9BHJWKoISKiCtNoNJgUEYTWg5pJr/3H4dv4oJW/9Lpk+BhqiIioUlxcXBAaNx1NezWUWlcI4G5iJueKomIYaoiIqNLs7e2xdOcCuLeto8hcUZzdm/6KoYaIiJ6JWq3GP09Eo/bzjtLnikq/kAWfVwLx+PFjiYXJUDHUEBFRlfj6wmrUaix3EkwhgJvHUzGh31Tk5ubKK0wGiaGGiIiqzNbLcXD1qiW97sXd1xHmtwAZGRnSa5PhYKghIqIqtfHsSjTs5Ca97qnN57E4OAp3796VXpsMA0MNERFVKZVKhah9i+DVp7H02kfiErAibDVSUlKk1yblMdQQEVGVs7GxwdxNs9D2PS/ptQ9Gn8SKsDikpqZKr03KYqghIqJq4eTkhClLx+PV0fLnijoUcwpLgr9CZmam9NqkHIYaIiKqNq6urggM90PnMW2k1z667izC/RYiLy9Pem1SBkMNERFVK41Gg4BQX3TybSW9dsL2JEzqNwMFBQXSa5N8DDVERFTt3N3dMX5+gCLn2Fz+6SZ8OgRJr0vyMdQQEZEUrq6umBn9CZq/7SG9dsrpdLz3AueKMnUMNUREJI2TkxMitoVLv4+NEED6pWwGGxPHUENERFJZW1sj9pdlqOPlJH8SzEvZGNkugOfYmCiGGiIiks7CwgL/SlwFJwXmirodn47AnpN5VZQJYqghIiLFbL0cB5emjnL32AC4sj8Zs0aE8z42JoahhoiIFPX1+dXQtKkjvW7C9iRETFrKOw+bEIYaIiJS3Oojy/B8jwbS6x5ddxZRs2M5V5SJYKghIiLFqdVqROyYg9aDmkmvfSjmFFaGr+Hs3iaAoYaIiAyCvb09pkdPRkfvltJrH4w+icgZMcjIyJBem6oOQw0RERkMFxcXjJvnjy7+baXXPhKXgAVBi/HgwQPptalqMNQQEZFB0Wg0GBvig85+8mf3PrX5PD794DPpdalqMNQQEZHBcXd3R2D4GLT/oIX02pf23ZRek6oGQw0RERkkNzc3BC+diBcHeCpS3/eVjxSpS5XHUENERAbL2dkZ8zbOhkfXetJrpydlY2gzzhVlTBhqiIjIoNna2iJ675fQtHKRP1fU5WwMbzkGQgiJhamyGGqIiMjgWVpaYn38CtRqIneuKAggNTET/l0nID8/X2JhqgyGGiIiMhpbkuLg3MRB6h4bIYBrh24jePCneJDNSTANGUMNEREZlS1JcXBr6SK9buLOq/g2ZJ/0uqQ/hhoiIjI6a09EKXLyMBk2hhoiIjI6lpaWWLJrvmKXe5NhYqghIiKjZGtri5C4qYrcoI8ME0MNEREZLWdnZ0yMCFRkSgUyPEYXavLz89GmTRuoVCrEx8cr3Q4RESnMzc0NAWGjFZkEkwyL0YWa4OBg1KvHk8OIiOj/uLu7IyDUFx29WyrdCinIqELNDz/8gN27d2PRokVKt0JERAZGo9FgUkQQWg9qpnQrpBCjCTV37tzBmDFjsH79etja2irdDhERGSAXFxeExk1H014NlW6FFGCldAP6EELA29sbAQEBaN++Pa5du6bXdvn5+Tq3tc7OzgYAaLVaaLXa6mi16Pn/+q+hUNdUK1dcVXw8DHWcDA3HST8cJ/2YwzhZW1tj0Y5wjOsRjDtnMlDRaZvUNa10/jUkhvS6yXwv6VtDJRScpWvatGn4/PPPy1zn3Llz2L17N7Zs2YL9+/fD0tIS165dg4eHB06dOoU2bdqUum1oaCjCwsKKLd+0aRP39hARERmJBw8eYNiwYcjKyoKjo2Op6ykaalJTU5Genl7mOk2aNMGQIUPw3XffQfWXyT4KCgpgaWmJ4cOHY926dSVuW9KemgYNGiAtLa3MQXlWWq0We/bsQa9evaBWK7h35CkDao1SrPaQhW9huP/7OssMdZwMDcdJPxwn/ZjjOI1qHYTM6/cBPX/bqWtawXf1QMSN3gZt3uPqba6Cvsks+fedEmS+l7Kzs1GnTp1yQ42i+9ZcXV3h6upa7nrLli3D3Llziz5PTk7Gm2++ic2bN6Njx46lbmdtbQ1ra+tiy9VqtZRvZll19KXNU3C3pUCpY2Fo42SoOE764Tjpx5zGaVPiSgx7cQxSz2VWaDtt3mNlf26WwBBfMxnvJX2f3/AOGJagYUPdE77s7e0BAJ6enqhfv74SLRERkRHZeHYl/Lp8hOtH7ijdClUjo7n6iYiIqLJUKhWi9i2CV5/GSrdC1cgo9tQ8rXHjxlDwVCCqhDP7z2Mt/qm7UAU413fCxpX/0vtYt1niOOmH46QfMx8nr86eOP/DNaXboGpilKGGjE/CtiQkbEvSWaauqcbYTUOxJfhHgztubUg4TvrhOOmH40SmjIefiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMAkMNERERmQSGGiIiIjIJDDVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMAkMNERERmQSGGiIiIjIJDDVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMAkMNERERmQSGGiIiIjIJDDVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMgpXSDcgkhAAAZGdnV2sdrVaLBw8eIDs7G2q1ulprVcRjoVW6BV0CePDgAbRCa3i9GRKOk344TvrhOJXPgMeoun9/VYTM33VPvu4nv8dLoxLlrWFCbt68iQYNGijdBhEREVXCjRs3UL9+/VIfN6tQU1hYiOTkZDg4OEClUlVbnezsbDRo0AA3btyAo6NjtdUxdhwn/XCc9MNx0g/HqXwcI/3IHCchBHJyclCvXj1YWJR+5oxZHX6ysLAoM+FVNUdHR35D6IHjpB+Ok344TvrhOJWPY6QfWePk5ORU7jo8UZiIiIhMAkMNERERmQSGmmpgbW2NkJAQWFtbK92KQeM46YfjpB+Ok344TuXjGOnHEMfJrE4UJiIiItPFPTVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQI8H333+Pjh07ombNmnB2dsY777yjdEsGKz8/H23atIFKpUJ8fLzS7RiUa9euYfTo0fDw8EDNmjXh6emJkJAQPHr0SOnWFBcVFYXGjRvDxsYGHTt2xNGjR5VuyaDMnz8fHTp0gIODA+rWrYt33nkHFy5cULotg7dgwQKoVCpMnDhR6VYMzq1bt/DBBx/AxcUFNWvWRMuWLXH8+HGl22KoqW7btm3DiBEj4OPjg9OnT+PQoUMYNmyY0m0ZrODgYNSrV0/pNgzS+fPnUVhYiJiYGPz+++9YvHgxVqxYgRkzZijdmqI2b96MyZMnIyQkBCdPnkTr1q3x5ptv4u7du0q3ZjD279+PoKAgHDlyBHv27IFWq0Xv3r2Rm5urdGsG69ixY4iJiUGrVq2UbsXg3Lt3D126dIFarcYPP/yAxMREfPHFF3B2dla6NUBQtdFqteK5554Tq1atUroVo7Br1y7h5eUlfv/9dwFAnDp1SumWDN7ChQuFh4eH0m0o6pVXXhFBQUFFnxcUFIh69eqJ+fPnK9iVYbt7964AIPbv3690KwYpJydHNG3aVOzZs0d069ZNTJgwQemWDMrUqVPFa6+9pnQbJeKemmp08uRJ3Lp1CxYWFmjbti3c3d3Rp08fnD17VunWDM6dO3cwZswYrF+/Hra2tkq3YzSysrJQu3ZtpdtQzKNHj3DixAn07NmzaJmFhQV69uyJX3/9VcHODFtWVhYAmPV7pyxBQUHo27evzvuK/s+3336L9u3bY/Dgwahbty7atm2L2NhYpdsCwMNP1erKlSsAgNDQUMyaNQs7d+6Es7MzXn/9dWRkZCjcneEQQsDb2xsBAQFo37690u0YjUuXLiEyMhJjx45VuhXFpKWloaCgAG5ubjrL3dzckJKSolBXhq2wsBATJ05Ely5d8NJLLyndjsH5+uuvcfLkScyfP1/pVgzWlStXEB0djaZNm+K///0vPvzwQ4wfPx7r1q1TujWGmsqYNm0aVCpVmR9Pzn8AgJkzZ2LgwIF4+eWXsWbNGqhUKmzdulXhr6L66TtOkZGRyMnJwfTp05VuWRH6jtNf3bp1C2+99RYGDx6MMWPGKNQ5GaOgoCCcPXsWX3/9tdKtGJwbN25gwoQJ2LhxI2xsbJRux2AVFhaiXbt2mDdvHtq2bQt/f3+MGTMGK1asULo1WCndgDH6+OOP4e3tXeY6TZo0we3btwEALVq0KFpubW2NJk2a4Pr169XZokHQd5z27duHX3/9tdj8Ie3bt8fw4cMNIv1XJ33H6Ynk5GR0794dnTt3xsqVK6u5O8NWp04dWFpa4s6dOzrL79y5A41Go1BXhmvcuHHYuXMnDhw4gPr16yvdjsE5ceIE7t69i3bt2hUtKygowIEDB7B8+XLk5+fD0tJSwQ4Ng7u7u87vNQBo3rw5tm3bplBH/4ehphJcXV3h6upa7novv/wyrK2tceHCBbz22msAAK1Wi2vXrqFRo0bV3abi9B2nZcuWYe7cuUWfJycn480338TmzZvRsWPH6mzRIOg7TsCfe2i6d+9etNfPwsK8d7bWqFEDL7/8Mvbu3Vt0q4TCwkLs3bsX48aNU7Y5AyKEwEcffYQdO3bg559/hoeHh9ItGaQePXrgzJkzOst8fHzg5eWFqVOnMtD8f126dCl2S4CLFy8axO81hppq5OjoiICAAISEhKBBgwZo1KgRIiIiAACDBw9WuDvD0bBhQ53P7e3tAQCenp78a/Ivbt26hddffx2NGjXCokWLkJqaWvSYOe+VmDx5MkaNGoX27dvjlVdewZIlS5CbmwsfHx+lWzMYQUFB2LRpE7755hs4ODgUnW/k5OSEmjVrKtyd4XBwcCh2npGdnR1cXFx4/tFfTJo0CZ07d8a8efMwZMgQHD16FCtXrjSIPccMNdUsIiICVlZWGDFiBPLy8tCxY0fs27fPMK7nJ6OyZ88eXLp0CZcuXSoW9oQQCnWlvKFDhyI1NRWzZ89GSkoK2rRpgx9//LHYycPmLDo6GgDw+uuv6yxfs2ZNuYc+iZ7WoUMH7NixA9OnT8ecOXPg4eGBJUuWYPjw4Uq3BpUw55+GREREZDLM+4A8ERERmQyGGiIiIjIJDDVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMAkMNERmlgoICdO7cGe+++67O8qysLDRo0AAzZ85UqDMiUgrvKExERuvixYto06YNYmNji27RPnLkSJw+fRrHjh1DjRo1FO6QiGRiqCEio7Zs2TKEhobi999/x9GjRzF48GAcO3YMrVu3Vro1IpKMoYaIjJoQAm+88QYsLS1x5swZfPTRR5g1a5bSbRGRAhhqiMjonT9/Hs2bN0fLli1x8uRJWFlZKd0SESmAJwoTkdGLi4uDra0trl69ips3byrdDhEphHtqiMioHT58GN26dcPu3bsxd+5cAMD//vc/qFQqhTsjItm4p4aIjNaDBw/g7e2NDz/8EN27d8fq1atx9OhRrFixQunWiEgB3FNDREZrwoQJ2LVrF06fPg1bW1sAQExMDD755BOcOXMGjRs3VrZBIpKKoYaIjNL+/fvRo0cP/Pzzz3jttdd0HnvzzTfx+PFjHoYiMjMMNURERGQSeE4NERERmQSGGiIiIjIJDDVERERkEhhqiIiIyCQw1BAREZFJYKghIiIik8BQQ0RERCaBoYaIiIhMAkMNERERmQSGGiIiIjIJDDVERERkEhhqiIiIyCT8PzM7ZOHZZYrGAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 0.0% ====\n", + "Total Area = 37.9771\n", + "Shell Area = 31.2661\n", + "Infill Area = 6.7110\n", + "Centroid (x_c, y_c) = (-0.0000, -0.0000)\n", + "I_x = 479.1911\n", + "I_y = 479.1911\n", + "I_xy = -36.7507\n", + "Polar moment J = 958.3821\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 15.2% ====\n", + "Total Area = 50.8634\n", + "Shell Area = 31.2661\n", + "Infill Area = 19.5972\n", + "Centroid (x_c, y_c) = (0.0506, 0.0506)\n", + "I_x = 535.5728\n", + "I_y = 535.5728\n", + "I_xy = -21.0498\n", + "Polar moment J = 1071.1456\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 35.7% ====\n", + "Total Area = 65.4443\n", + "Shell Area = 31.2661\n", + "Infill Area = 34.1782\n", + "Centroid (x_c, y_c) = (-0.0094, -0.0094)\n", + "I_x = 649.8502\n", + "I_y = 649.8502\n", + "I_xy = -6.8127\n", + "Polar moment J = 1299.7004\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 63.1% ====\n", + "Total Area = 75.2508\n", + "Shell Area = 31.2661\n", + "Infill Area = 43.9846\n", + "Centroid (x_c, y_c) = (-0.0000, -0.0000)\n", + "I_x = 732.3665\n", + "I_y = 732.3665\n", + "I_xy = -5.2029\n", + "Polar moment J = 1464.7331\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 100.0% ====\n", + "Total Area = 73.5416\n", + "Shell Area = 31.2661\n", + "Infill Area = 42.2755\n", + "Centroid (x_c, y_c) = (0.0571, 0.0571)\n", + "I_x = 671.1977\n", + "I_y = 671.1977\n", + "I_xy = -3.7551\n", + "Polar moment J = 1342.3955\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " dx = XX[0, 1] - XX[0, 0] if XX.shape[1] > 1 else 0.0\n", + " dy = YY[1, 0] - YY[0, 0] if YY.shape[0] > 1 else 0.0\n", + " dA = dx * dy\n", + "\n", + " A = np.count_nonzero(mask) * dA\n", + " if A == 0:\n", + " return {\"A\": 0.0, \"x_c\": 0.0, \"y_c\": 0.0, \"I_x\": 0.0, \"I_y\": 0.0, \"I_xy\": 0.0, \"J\": 0.0}\n", + "\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + " x_c = np.sum(x_vals * dA) / A\n", + " y_c = np.sum(y_vals * dA) / A\n", + "\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = np.sum((y_shift**2) * dA)\n", + " I_y = np.sum((x_shift**2) * dA)\n", + " I_xy = np.sum((x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return {\"A\": A, \"x_c\": x_c, \"y_c\": y_c, \"I_x\": I_x, \"I_y\": I_y, \"I_xy\": I_xy, \"J\": J}\n", + "\n", + "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n", + " A_total = width ** 2\n", + " shell_thickness = 2 * layer_width * shell_layers\n", + " A_shell = A_total - (width - shell_thickness) ** 2\n", + " r = (A_total / A_shell) ** (1 / (steps - 1))\n", + " return [(A_shell * r**i - A_shell) / (A_total - A_shell) for i in range(steps)]\n", + "\n", + "def cubic_corner_infill_rectangular_with_shell_fractional(\n", + " width=20.0,\n", + " height=20.0,\n", + " spacing=5.0,\n", + " infill_fraction=1.0,\n", + " line_thickness=0.2,\n", + " z_height=0.0,\n", + " shell_layers=3,\n", + " layer_width=0.4,\n", + " plot=True\n", + "):\n", + " N = 400\n", + " xs = np.linspace(-width / 2, width / 2, N)\n", + " ys = np.linspace(-height / 2, height / 2, N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + " Z = z_height\n", + "\n", + " def dist_mod(coord, spc):\n", + " remainder = np.mod(coord, spc)\n", + " return np.minimum(remainder, spc - remainder)\n", + "\n", + " effective_spacing = spacing / np.sqrt(infill_fraction) if infill_fraction > 0 else 1e6\n", + "\n", + " dist1 = dist_mod(XX + YY, effective_spacing)\n", + " dist2 = dist_mod(XX + Z, effective_spacing)\n", + " dist3 = dist_mod(YY + Z, effective_spacing)\n", + "\n", + " pattern_mask = (\n", + " (dist1 < line_thickness) |\n", + " (dist2 < line_thickness) |\n", + " (dist3 < line_thickness)\n", + " )\n", + "\n", + " if infill_fraction >= 1.0:\n", + " pattern_mask = np.ones_like(pattern_mask, dtype=bool)\n", + "\n", + " shell_thickness = shell_layers * layer_width\n", + " outer_rect = (\n", + " (np.abs(XX) <= width / 2) &\n", + " (np.abs(YY) <= height / 2)\n", + " )\n", + " inner_rect = (\n", + " (np.abs(XX) <= (width / 2 - shell_thickness)) &\n", + " (np.abs(YY) <= (height / 2 - shell_thickness))\n", + " )\n", + "\n", + " shell_mask = outer_rect & (~inner_rect)\n", + " infill_mask = pattern_mask & inner_rect\n", + " final_mask = shell_mask | infill_mask\n", + "\n", + " total_moments = compute_area_moments(XX, YY, final_mask)\n", + " shell_moments = compute_area_moments(XX, YY, shell_mask)\n", + " infill_area = total_moments[\"A\"] - shell_moments[\"A\"]\n", + "\n", + " if plot:\n", + " plt.figure()\n", + " pattern_img = np.where(final_mask, 1.0, np.nan)\n", + " plt.imshow(pattern_img, origin='lower', extent=[-width / 2, width / 2, -height / 2, height / 2])\n", + " plt.title(f'Cubic Infill @ {infill_fraction*100:.1f}%, shell={shell_layers}×{layer_width}mm')\n", + " plt.xlabel('X')\n", + " plt.ylabel('Y')\n", + " plt.axis('equal')\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " print(f\"==== Infill {infill_fraction*100:.1f}% ====\")\n", + " print(f\"Total Area = {total_moments['A']:.4f}\")\n", + " print(f\"Shell Area = {shell_moments['A']:.4f}\")\n", + " print(f\"Infill Area = {infill_area:.4f}\")\n", + " print(f\"Centroid (x_c, y_c) = ({total_moments['x_c']:.4f}, {total_moments['y_c']:.4f})\")\n", + " print(f\"I_x = {total_moments['I_x']:.4f}\")\n", + " print(f\"I_y = {total_moments['I_y']:.4f}\")\n", + " print(f\"I_xy = {total_moments['I_xy']:.4f}\")\n", + " print(f\"Polar moment J = {total_moments['J']:.4f}\")\n", + " print()\n", + "\n", + "# --- RUN SIMULATION ---\n", + "if __name__ == \"__main__\":\n", + " width = 10\n", + " shell_layers = 2\n", + " layer_width = 0.42\n", + " spacing = 3.0\n", + " line_thickness = 0.42 # realistic for a 0.4 mm nozzle\n", + " steps = 5\n", + "\n", + " fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=steps)\n", + "\n", + " for f in fractions:\n", + " cubic_corner_infill_rectangular_with_shell_fractional(\n", + " width=width,\n", + " height=width,\n", + " spacing=spacing,\n", + " infill_fraction=f,\n", + " line_thickness=line_thickness,\n", + " z_height=22.65,\n", + " shell_layers=shell_layers,\n", + " layer_width=layer_width,\n", + " plot=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "8c1f08b2-609a-4625-82d0-c3b68d578f30", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 0.0% ====\n", + "Total Area = 118.3510\n", + "Shell Area = 90.6929\n", + "Infill Area = 27.6581\n", + "I_x = 5758.9127\n", + "I_y = 5758.9127\n", + "I_xy = -0.0000\n", + "Polar moment J = 11517.8255\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 13.1% ====\n", + "Total Area = 169.8080\n", + "Shell Area = 90.6929\n", + "Infill Area = 79.1151\n", + "I_x = 7237.4443\n", + "I_y = 7237.4443\n", + "I_xy = 0.0000\n", + "Polar moment J = 14474.8886\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 32.2% ====\n", + "Total Area = 216.1192\n", + "Shell Area = 90.6929\n", + "Infill Area = 125.4263\n", + "I_x = 8591.1870\n", + "I_y = 8591.1870\n", + "I_xy = -0.0000\n", + "Polar moment J = 17182.3741\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 59.9% ====\n", + "Total Area = 257.2848\n", + "Shell Area = 90.6929\n", + "Infill Area = 166.5919\n", + "I_x = 9774.6930\n", + "I_y = 9774.6930\n", + "I_xy = 0.0000\n", + "Polar moment J = 19549.3860\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==== Infill 100.0% ====\n", + "Total Area = 293.3047\n", + "Shell Area = 90.6929\n", + "Infill Area = 202.6118\n", + "I_x = 10715.9519\n", + "I_y = 10715.9519\n", + "I_xy = 0.0000\n", + "Polar moment J = 21431.9039\n", + "\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def compute_area_moments(XX, YY, mask):\n", + " dx = XX[0, 1] - XX[0, 0] if XX.shape[1] > 1 else 0.0\n", + " dy = YY[1, 0] - YY[0, 0] if YY.shape[0] > 1 else 0.0\n", + " dA = dx * dy\n", + "\n", + " A = np.count_nonzero(mask) * dA\n", + " if A == 0:\n", + " return {\"A\": 0.0, \"x_c\": 0.0, \"y_c\": 0.0, \"I_x\": 0.0, \"I_y\": 0.0, \"I_xy\": 0.0, \"J\": 0.0}\n", + "\n", + " x_vals = XX[mask]\n", + " y_vals = YY[mask]\n", + " x_c = np.sum(x_vals * dA) / A\n", + " y_c = np.sum(y_vals * dA) / A\n", + "\n", + " x_shift = x_vals - x_c\n", + " y_shift = y_vals - y_c\n", + "\n", + " I_x = np.sum((y_shift**2) * dA)\n", + " I_y = np.sum((x_shift**2) * dA)\n", + " I_xy = np.sum((x_shift * y_shift) * dA)\n", + " J = I_x + I_y\n", + "\n", + " return {\"A\": A, \"x_c\": x_c, \"y_c\": y_c, \"I_x\": I_x, \"I_y\": I_y, \"I_xy\": I_xy, \"J\": J}\n", + "\n", + "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n", + " A_total = width ** 2\n", + " shell_thickness = 2 * layer_width * shell_layers\n", + " A_shell = A_total - (width - shell_thickness) ** 2\n", + " r = (A_total / A_shell) ** (1 / (steps - 1))\n", + "\n", + " fractions = []\n", + " for i in range(steps):\n", + " A_i = A_shell * (r ** i)\n", + " f = (A_i - A_shell) / (A_total - A_shell)\n", + " fractions.append(f)\n", + " return fractions\n", + "\n", + "def grid_infill_rectangular_with_shell(width, height, spacing, infill_fraction,\n", + " line_thickness, shell_layers, layer_width, plot=True):\n", + " N = 400\n", + " xs = np.linspace(-width / 2, width / 2, N)\n", + " ys = np.linspace(-height / 2, height / 2, N)\n", + " XX, YY = np.meshgrid(xs, ys)\n", + "\n", + " def dist_mod(coord, spc):\n", + " remainder = np.mod(coord, spc)\n", + " return np.minimum(remainder, spc - remainder)\n", + "\n", + " effective_spacing = spacing / np.sqrt(infill_fraction) if infill_fraction > 0 else 1e6\n", + " dist_x = dist_mod(XX, effective_spacing)\n", + " dist_y = dist_mod(YY, effective_spacing)\n", + " pattern_mask = (dist_x < line_thickness) | (dist_y < line_thickness)\n", + "\n", + " shell_thickness = shell_layers * layer_width\n", + " outer_rect = (np.abs(XX) <= width / 2) & (np.abs(YY) <= height / 2)\n", + " inner_rect = (np.abs(XX) <= (width / 2 - shell_thickness)) & (np.abs(YY) <= (height / 2 - shell_thickness))\n", + "\n", + " shell_mask = outer_rect & (~inner_rect)\n", + " infill_mask = pattern_mask & inner_rect\n", + " final_mask = shell_mask | infill_mask\n", + "\n", + " total_moments = compute_area_moments(XX, YY, final_mask)\n", + " shell_moments = compute_area_moments(XX, YY, shell_mask)\n", + " infill_area = total_moments[\"A\"] - shell_moments[\"A\"]\n", + "\n", + " if plot:\n", + " plt.figure()\n", + " pattern_img = np.where(final_mask, 1.0, np.nan)\n", + " plt.imshow(pattern_img, origin='lower', extent=[-width / 2, width / 2, -height / 2, height / 2])\n", + " plt.title(f\"Infill={infill_fraction*100:.1f}%, Shell={shell_layers}×{layer_width}mm\")\n", + " plt.xlabel(\"X\")\n", + " plt.ylabel(\"Y\")\n", + " plt.axis(\"equal\")\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + " print(f\"==== Infill {infill_fraction*100:.1f}% ====\")\n", + " print(f\"Total Area = {total_moments['A']:.4f}\")\n", + " print(f\"Shell Area = {shell_moments['A']:.4f}\")\n", + " print(f\"Infill Area = {infill_area:.4f}\")\n", + " print(f\"I_x = {total_moments['I_x']:.4f}\")\n", + " print(f\"I_y = {total_moments['I_y']:.4f}\")\n", + " print(f\"I_xy = {total_moments['I_xy']:.4f}\")\n", + " print(f\"Polar moment J = {total_moments['J']:.4f}\")\n", + " print()\n", + "\n", + " return total_moments\n", + "\n", + "# ---- Run 5 levels with geometric infill growth ----\n", + "if __name__ == \"__main__\":\n", + " width = 20.0\n", + " shell_layers = 3\n", + " layer_width = 0.4\n", + " spacing = 2.0\n", + " line_thickness = 0.4\n", + "\n", + " fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=5)\n", + "\n", + " for f in fractions:\n", + " grid_infill_rectangular_with_shell(\n", + " width=width,\n", + " height=width,\n", + " spacing=spacing,\n", + " infill_fraction=f,\n", + " line_thickness=line_thickness,\n", + " shell_layers=shell_layers,\n", + " layer_width=layer_width,\n", + " plot=True\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a188471d-8c1a-44fd-8f14-0864efa1a47a", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.13.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/standards/BS-EN-ISO-527-2-2012-tensile-test-specimens.pdf b/standards/BS-EN-ISO-527-2-2012-tensile-test-specimens.pdf new file mode 100644 index 0000000..a9f3d6d Binary files /dev/null and b/standards/BS-EN-ISO-527-2-2012-tensile-test-specimens.pdf differ