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Iceteavanill committed Sep 14, 2024
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4 changes: 4 additions & 0 deletions .gitignore
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.vscode
tikz-uml.sty
/svg-inkscape
*.synctex.gz
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130 changes: 130 additions & 0 deletions ELT1.tex
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\documentclass[fontsize=8pt, a4paper, fleqn, landscape, DIV=calc]{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage[ngerman]{babel}

\usepackage{hyperref}%links in the pdf
\hypersetup{pdfborder = {0 0 0}}

\usepackage{multicol}%layout
\usepackage{geometry}%layout
\usepackage{tcolorbox}%section bars,...
\usepackage{fancyhdr}%header
\usepackage{lastpage}%obvious
\usepackage{dirtytalk}% ""
\usepackage{pdfpages}%Anhang
\usepackage{siunitx}%obvious
\geometry{margin=1cm}
\parindent 0pt
\pagestyle{fancy}
\newlength{\breite}
\setlength{\breite}{0.5pt}
\setlength{\columnseprule}{\breite}
\usepackage{qrcode}%QR code im Titel

\usepackage[table]{xcolor}

%Math stuff
\usepackage{mathtools}
\allowdisplaybreaks %allow display breaks in align

\usepackage{enumitem}%Itemise


%tikzstuff
\usepackage{tikz,pgfplots}
\pgfplotsset{compat=1.18}
\usetikzlibrary{positioning}
\usetikzlibrary{arrows.meta}
\usepackage[european resistors,american voltages,american currents]{circuitikz}
\ctikzset{bipoles/length=.8cm}%smaller circuit symbols
\ctikzset{voltage/bump b=1.5}%more distance for the voltage arrow
\ctikzset{bipoles/vsourceam/inner plus={\tiny $+$}}%setting + a bit smaller
\ctikzset{bipoles/vsourceam/inner minus={\tiny $-$}}%setting - a bit smaller
\ctikzset{bipole voltage style/.style={color=blue}, bipole current style/.style={color=red}}%setting colors for I and V
\newcommand{\iarr}[1]{% name
\node [currarrow, color=red, anchor=center,
rotate=\ctikzgetdirection{#1-Iarrow}] at (#1-Ipos) {}
}
\newcommand{\varr}[1]{% name
\draw [color=blue] (#1-Vfrom) .. controls (#1-Vlab)
.. (#1-Vto) node [currarrow,
sloped, anchor=tip, allow upside down,pos=1]{};
}
\ctikzset{!vi/.style={no v symbols, no i symbols}}


\newcommand{\todo}[1][todo]{% Todo marker
\begin{tcolorbox}[colback=orange, beforeafter skip=2pt, boxrule=0pt, arc=2pt, left=0pt, right=0pt, top=0pt, bottom=0pt]%
{#1}%
\end{tcolorbox}%
}

%svg setup
\usepackage{svg}
\svgpath{{svg/}}

\usepackage{wrapfig}

% color for Titel / sub Titel
\definecolor{sectionbarcolor}{RGB}{148,0,255}
\definecolor{subsectionbarcolor}{RGB}{220,173,255}
\definecolor{sectiontextcolor}{RGB}{255,255,255}
\definecolor{subsectiontextcolor}{RGB}{0,0,0}

%section color box
\setkomafont{section}{\mysection}
\newcommand{\mysection}[1]{%
\Large%
\begin{tcolorbox}[colback=sectionbarcolor, coltext=sectiontextcolor, beforeafter skip=2pt, boxrule=0pt, arc=2pt, left=0pt, right=0pt, top=0pt, bottom=0pt]%
{#1}%
\end{tcolorbox}%
}

%subsection color box
\setkomafont{subsection}{\mysubsection}
\newcommand{\mysubsection}[1]{%
\Large%
\begin{tcolorbox}[colback=subsectionbarcolor, coltext=subsectiontextcolor, beforeafter skip=2pt, boxrule=0pt, arc=2pt, left=0pt, right=0pt, top=0pt, bottom=0pt]%
{#1}%
\end{tcolorbox}%
}

%Information for maketitle
\title{\vspace{-1cm}Elektrotechnik 1}
\subtitle{HS 2023, Prof. Dr. Hans-Dieter Lang}
\author{Fabian Steiner, \today}
\date{{\small V1.0.0}}

%Header & footer
\fancyhf{}
\setlength{\footskip}{0.5cm}
\fancyfoot[L]{\thepage{} / \pageref{LastPage}}
\fancyfoot[R]{ELT 1}
\renewcommand{\footrulewidth}{0pt}
\renewcommand{\headrulewidth}{0pt}

\begin{document}
\begin{multicols*}{2}
\begin{minipage}{0.75\columnwidth}
\maketitle
\end{minipage}
\begin{minipage}{0.2\columnwidth}
\begin{center}
\quad
\qrcode[height=1.5cm]{https://github.com/Iceteavanill/Cheatsheet_ELT1_HS_2023_OST}
\qquad
\end{center}
\end{minipage}

\thispagestyle{fancy}%Pagenumber for first page
\raggedcolumns
\input{sections/01_Grundlagen}
\input{sections/02_Grundlagen_Elektrotechnik}
\input{sections/03_Gleichstromnetzwerke}
\input{sections/04_Nichtlineare_Netzwerke}
\input{sections/05_Systematische_Netzwerkanalyse}

\end{multicols*}

\includepdf{formelblatt_ELT1_2023_v1_1_page.pdf}%anhang
\end{document}
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12 changes: 12 additions & 0 deletions README.md
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Zusammenfassung Vorlesung ELT1

Herbstsemester 2023

Dozent: Prof. Dr. Hans-Dieter Lang

OST Rapperswil

Die Zusammenfassung wurde zwar sorgfältig erstellt, allerdings kann keine Garantie für den Inhalt gegeben werden. Wenn Fehler gefunden werden, diese bitte melden.

Einige Inhalte wurden aus den Unterrichtsmaterialien entnommen.
Das Formelblatt wurde von Prof. Dr. Hans-Dieter Lang erstellt und während der Prüfung zur Verfügung gestellt.
39 changes: 39 additions & 0 deletions circuits/Beispiel Knotenpotentialmethode Schritt 1.tex
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% LTeX: enabled=false
\begin{circuitikz}
\tikzstyle{every node}=[font=\normalsize]
\draw (2.25,14) to[american current source] (2.25,11);
\draw (5.5,11) to[R] (5.5,14);
\draw (8.75,11) to[R] (8.75,14);
\draw (2.25,14) to[short] (8.75,14);
\draw (2.25,11) to[R] (5.5,11);
\draw (5.5,8) to[R] (5.5,11);
\draw (2.25,11) to[american controlled voltage source] (2.25,8);
\draw (8.75,8) to[american controlled current source] (8.75,11);
\draw (5.5,11) to[american voltage source] (8.75,11);
\draw (2.25,8) to[short] (5.5,8);
\draw (5.5,8) to[short] (8.75,8);
\node [font=\normalsize] at (1.5,12.5) {$I_q$};
\node [font=\normalsize] at (4,11.5) {$R_1$};
\node [font=\normalsize] at (6,12.5) {$R_2$};
\node [font=\normalsize] at (9.25,12.5) {$R_3$};
\node [font=\normalsize] at (9.5,9) {$g U_s$};
\node [font=\normalsize] at (6,9.5) {$R_4$};
\node [font=\normalsize] at (1.25,9.5) {$r I_s$};
\node [font=\normalsize] at (7.25,11.5) {$U_q$};
\draw [ color={rgb,255:red,255; green,0; blue,0}, ->, >=Stealth] (7,14) -- (7.25,14);
\draw [ color={rgb,255:red,0; green,128; blue,255}, ->, >=Stealth] (5.25,13.5) .. controls (4.75,13.25) and (4.75,12) .. (5.25,11.5) ;
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (4.5,12.5) {$U_s$};
\node [font=\normalsize, color={rgb,255:red,255; green,0; blue,0}] at (7.25,14.5) {$I_s$};
\node at (2.25,11) [circ] {};
\node at (5.5,11) [circ] {};
\node at (5.5,8) [circ] {};
\node at (8.75,11) [circ] {};
\node at (5.5,14) [circ] {};
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (1.75,11) {$U_1$};
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (5.5,14.5) {$U_2$};
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (9.25,11) {$U_3$};
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (5.5,7.5) {$U_4$};
\draw (4.75,10.25) to (4.75,10) node[ground]{};
\draw [short] (4.75,10.25) -- (5.5,11);
\node [font=\normalsize] at (4.25,10.25) {$"0"$};
\end{circuitikz}
45 changes: 45 additions & 0 deletions circuits/Beispiel Knotenpotentialmethode Schritt 2.tex
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% LTeX: enabled=false
\begin{circuitikz}
\tikzstyle{every node}=[font=\normalsize]
\draw (2.25,14) to[american current source] (2.25,11);
\draw (5.5,11) to[R] (5.5,14);
\draw (8.75,12.5) to[R] (8.75,14);
\draw (2.25,14) to[short] (8.75,14);
\draw (2.25,11) to[R] (5.5,11);
\draw (5.5,9.5) to[R] (5.5,11);
\draw (8.75,8) to[american controlled current source] (8.75,9.5);
\draw (2.25,8) to[short] (5.5,8);
\node [font=\normalsize] at (1.5,12.5) {$I_q$};
\node [font=\normalsize] at (4,11.5) {$R_1$};
\node [font=\normalsize] at (6,12.5) {$R_2$};
\node [font=\normalsize] at (9.25,13.25) {$R_3$};
\node [font=\normalsize] at (9.75,8.75) {$g \cdot U_s$};
\node [font=\normalsize] at (6,10.25) {$R_4$};
\node [font=\normalsize] at (4.5,8.75) {$r \cdot I_s$};
\node [font=\normalsize] at (7.25,11.5) {$U_q$};
\draw [ color={rgb,255:red,255; green,0; blue,0}, ->, >=Stealth] (7,14) -- (7.25,14);
\draw [ color={rgb,255:red,0; green,128; blue,255}, ->, >=Stealth] (5.25,13.5) .. controls (4.75,13.25) and (4.75,12) .. (5.25,11.5) ;
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (4.5,12.5) {$U_s$};
\node [font=\normalsize, color={rgb,255:red,255; green,0; blue,0}] at (7.25,14.5) {$I_s$};
\node at (2.25,11) [circ] {};
\node at (5.5,11) [circ] {};
\node at (5.5,8) [circ] {};
\node at (8.75,11) [circ] {};
\node at (5.5,14) [circ] {};
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (1.75,11) {$U_1$};
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (5.5,14.5) {$U_2$};
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (9.25,11) {$U_3$};
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (5.5,7.5) {$U_4$};
\draw (4.75,10.25) to (4.75,10) node[ground]{};
\draw [short] (4.75,10.25) -- (5.5,11);
\node [font=\normalsize] at (4.25,10.25) {$"0"$};
\draw (8.75,11) to[american voltage source] (8.75,9.5);
\draw (5.5,11) to[short] (8.75,11);
\draw (8.75,11) to[american voltage source] (8.75,12.5);
\draw (5.5,9.5) to[american controlled voltage source] (5.5,8);
\draw (8.75,8) to[american controlled voltage source] (5.5,8);
\node [font=\normalsize] at (7.25,8.75) {$r \cdot I_s$};
\draw [ color={rgb,255:red,255; green,128; blue,0}, ](6.5,8) to[short] (7.75,8);
\draw [ color={rgb,255:red,255; green,128; blue,0}, ](8.75,9.75) to[short] (8.75,10.75);
\draw (2.25,11) to[short] (2.25,8);
\end{circuitikz}
63 changes: 63 additions & 0 deletions circuits/Beispiel Maschenstrommethode 1.tex
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% LTeX: enabled=false
\begin{circuitikz}
\tikzstyle{every node}=[font=\normalsize]
\draw (3.75,13.25) to[R] (10.75,13.25);
\draw (4.75,10) to[R] (4.75,7.5);
\draw (3.75,11.5) to[short] (3.75,13.25);
\draw (2.75,7.5) to[american current source] (2.75,10);
\draw (2.75,10) to[short] (4.75,10);
\draw (4.75,7.5) to[short] (2.75,7.5);
\draw (3.75,10) to[short] (3.75,11.5);
\draw (3.75,11.75) to[R] (7.25,11.75);
\draw (7.25,11.75) to[R] (10.75,11.75);
\draw (3.75,6.75) to[short] (3.75,7.5);
\draw (10.75,11.75) to[short] (10.75,13.25);
\draw (10.75,11.75) to[R] (10.75,9.75);
\draw (9,9.75) to[R] (9,8);
\draw (10.75,9.75) to[american voltage source] (10.75,8.25);
\draw (9,9.75) to[short] (9,10.25);
\draw (9,10.25) to[short] (7.25,10.25);
\draw (9,8) to[short] (9,7.5);
\draw (9,7.5) to[short] (10.75,7.5);
\draw (10.75,8.25) to[short] (10.75,7.5);
\draw (7.25,6.75) to[R] (10.75,6.75);
\draw (10.75,7.5) to[short] (10.75,6.75);
\draw (10.75,11.75) to[short] (12.75,11.75);
\draw (12.75,11.75) to[R] (12.75,5.5);
\draw (12.75,5.5) to[short] (3.75,5.5);
\draw (3.75,5.5) to[short] (3.75,6.75);
\draw (3.75,6.75) to[R] (7.25,6.75);
\draw (7.25,10.25) to[american voltage source] (7.25,6.75);
\draw (7.25,10.25) to[short] (7.25,11.75);
\node at (3.75,7.5) [circ] {};
\node at (3.75,6.75) [circ] {};
\node at (3.75,10) [circ] {};
\node at (3.75,11.75) [circ] {};
\node at (7.25,10.25) [circ] {};
\node at (7.25,11.75) [circ] {};
\node at (10.75,11.75) [circ] {};
\node at (7.25,6.75) [circ] {};
\node at (10.75,7.5) [circ] {};
\node [font=\normalsize] at (2,8.75) {$I_c$};
\node [font=\normalsize] at (5.25,8.75) {$R_1$};
\node [font=\normalsize] at (5.5,12.25) {$R_2$};
\node [font=\normalsize] at (7.25,13.75) {$R_4$};
\node [font=\normalsize] at (9,12.25) {$R_7$};
\node [font=\normalsize] at (11.25,10.75) {$R_{10}$};
\node [font=\normalsize] at (11.5,9) {$U_{10}$};
\node [font=\normalsize] at (13.25,8.5) {$R_5$};
\node [font=\normalsize] at (9.5,9) {$R_8$};
\node [font=\normalsize] at (6.5,8.5) {$U_6$};
\node [font=\normalsize] at (9,7.25) {$R_9$};
\node [font=\normalsize] at (5.5,7.25) {$R_3$};
\draw [ color={rgb,255:red,0; green,128; blue,255}, ->, >=Stealth] (7,12.25) .. controls (6.25,13) and (8.25,13) .. (7.5,12.25) ;
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (7.25,12.5) {$J_1$};
\draw [ color={rgb,255:red,0; green,128; blue,255}, ->, >=Stealth] (9.5,10.5) .. controls (8.75,11.25) and (10.75,11.25) .. (10,10.5) ;
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (9.75,10.75) {$J_4$};
\draw [ color={rgb,255:red,0; green,128; blue,255}, ->, >=Stealth] (7.75,7.25) .. controls (7,8) and (9,8) .. (8.25,7.25) ;
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (8,7.5) {$J_3$};
\draw [ color={rgb,255:red,0; green,128; blue,255}, ->, >=Stealth] (11.25,6.25) .. controls (10.5,7) and (12.5,7) .. (11.75,6.25) ;
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (11.5,6.5) {$J_5$};
\draw [ color={rgb,255:red,0; green,128; blue,255}, ->, >=Stealth] (5.5,10.25) .. controls (4.75,11) and (6.75,11) .. (6,10.25) ;
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (5.75,10.5) {$J_2$};
\end{circuitikz}
36 changes: 36 additions & 0 deletions circuits/Beispiel Maschenstrommethode 2.tex
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% LTeX: enabled=false
\begin{circuitikz}
\tikzstyle{every node}=[font=\normalsize]
\draw (2.25,14) to[american current source] (2.25,11);
\draw (5.5,11) to[R] (5.5,14);
\draw (8.75,11) to[R] (8.75,14);
\draw (2.25,14) to[short] (8.75,14);
\draw (2.25,11) to[R] (5.5,11);
\draw (5.5,8) to[R] (5.5,11);
\draw (2.25,11) to[american controlled voltage source] (2.25,8);
\draw (8.75,8) to[american controlled current source] (8.75,11);
\draw (5.5,11) to[american voltage source] (8.75,11);
\draw (2.25,8) to[short] (5.5,8);
\draw (5.5,8) to[short] (8.75,8);
\node [font=\normalsize] at (1.5,12.5) {$I_q$};
\node [font=\normalsize] at (4,11.5) {$R_1$};
\node [font=\normalsize] at (6,12.5) {$R_2$};
\node [font=\normalsize] at (9.25,12.5) {$R_3$};
\node [font=\normalsize] at (9.5,9) {$g\cdot U_s$};
\node [font=\normalsize] at (6,9.5) {$R_4$};
\node [font=\normalsize] at (1.25,9.5) {$r\cdot I_s$};
\node [font=\normalsize] at (7.25,11.5) {$U_q$};
\draw [ color={rgb,255:red,255; green,0; blue,0}, ->, >=Stealth] (7,14) -- (7.25,14);
\draw [ color={rgb,255:red,0; green,128; blue,255}, ->, >=Stealth] (5.25,13.5) .. controls (4.75,13.25) and (4.75,12) .. (5.25,11.5) ;
\node [font=\normalsize, color={rgb,255:red,0; green,128; blue,255}] at (4.5,12.5) {$U_s$};
\node [font=\normalsize, color={rgb,255:red,255; green,0; blue,0}] at (7.25,14.5) {$I_s$};
\draw [ color={rgb,255:red,217; green,0; blue,108}, ->, >=Stealth] (7,9.25) .. controls (6.25,9.75) and (8,9.75) .. (7.25,9.25) node[pos=0.5, fill=white]{$J_1$};
\draw [ color={rgb,255:red,217; green,0; blue,108}, ->, >=Stealth] (3.5,12.5) .. controls (2.75,13) and (4.5,13) .. (3.75,12.5) node[pos=0.5, fill=white]{$J_1$};
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\draw [ color={rgb,255:red,217; green,0; blue,108}, ->, >=Stealth] (3.5,9.25) .. controls (2.75,9.75) and (4.5,9.75) .. (3.75,9.25) node[pos=0.5, fill=white]{$J_1$};
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\end{circuitikz}
38 changes: 38 additions & 0 deletions circuits/Beispiel Zweigstrommethode.tex
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% LTeX: enabled=false
\begin{circuitikz}
\tikzstyle{every node}=[font=\small]
\draw (3,11.75) to[american voltage source] (3,9.5);
\draw (3,11.75) to[R] (5.25,11.75);
\draw (5.25,11.75) to[R] (5.25,9.5);
\draw (5.25,11.75) to[R] (7.5,11.75);
\draw (7.5,9.5) to[american current source] (7.5,11.75);
\draw (3,9.5) to[short] (7.5,9.5);
\node at (5.25,11.75) [circ] {};
\node at (7.5,11.75) [circ] {};
\node at (5.25,9.5) [circ] {};
\draw [ color={rgb,255:red,255; green,0; blue,0}, ->, >=Stealth] (3.25,11.75) -- (3.5,11.75);
\node at (3,11.75) [circ] {};
\node [font=\small, color={rgb,255:red,255; green,0; blue,0}] at (3.75,9.25) {};
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\draw [ color={rgb,255:red,255; green,0; blue,0}, ->, >=Stealth] (4.75,11.75) -- (5,11.75);
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\draw [ color={rgb,255:red,255; green,0; blue,0}, ->, >=Stealth] (5.75,11.75) -- (5.5,11.75);
\draw [ color={rgb,255:red,0; green,0; blue,255}, ->, >=Stealth] (5,11.25) .. controls (4.75,11) and (4.75,10.5) .. (5,10) ;
\draw [ color={rgb,255:red,0; green,0; blue,255}, ->, >=Stealth] (3.5,11.5) .. controls (3.75,11.25) and (4.5,11.25) .. (4.75,11.5) ;
\draw [ color={rgb,255:red,0; green,0; blue,255}, ->, >=Stealth] (7,11.5) .. controls (6.5,11.25) and (6.25,11.25) .. (5.75,11.5) ;
\node [font=\small, color={rgb,255:red,0; green,0; blue,255}] at (2,10.5) {$U_q$};
\node [font=\small, color={rgb,255:red,0; green,0; blue,255}] at (4,11) {$U_1$};
\node [font=\small, color={rgb,255:red,0; green,0; blue,255}] at (4.5,10.75) {$U_2$};
\node [font=\small, color={rgb,255:red,0; green,0; blue,255}] at (6.5,11) {$U_3$};
\node [font=\small, color={rgb,255:red,255; green,0; blue,0}] at (3.5,12) {$I_0$};
\node [font=\small, color={rgb,255:red,255; green,0; blue,0}] at (5,12) {$I_1$};
\node [font=\small, color={rgb,255:red,255; green,0; blue,0}] at (5.5,12) {$I_3$};
\node [font=\small, color={rgb,255:red,255; green,0; blue,0}] at (5.5,9.75) {$I_2$};
\node [font=\small, color={rgb,255:red,255; green,0; blue,0}] at (8.25,10.75) {$I_q$};
\node [font=\small] at (4.25,12.25) {R1};
\node [font=\small] at (6.25,12.25) {R3};
\node [font=\small] at (5.75,10.5) {R2};
\draw [ color={rgb,255:red,0; green,0; blue,255}, ->, >=Stealth] (2.75,11.25) .. controls (2.25,11) and (2.25,10.25) .. (2.75,10) ;
\draw [ color={rgb,255:red,0; green,0; blue,255}, ->, >=Stealth] (7.25,11.25) .. controls (7,11) and (7,10.5) .. (7.25,10) ;
\node [font=\small, color={rgb,255:red,0; green,0; blue,255}] at (6.75,10.5) {$U_4$};
\end{circuitikz}
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