233 lines
6.8 KiB
TeX
Executable File
233 lines
6.8 KiB
TeX
Executable File
\documentclass[
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solutions,
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singlenumbering,
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nopagenumber
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]{../../resources/ormc_handout}
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\usepackage{../../resources/macros}
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\usepackage{ifthen}
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\usetikzlibrary{arrows.meta}
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\usetikzlibrary{shapes.geometric}
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\usetikzlibrary{patterns}
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% We put nodes in a separate layer, so we can
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% slightly overlap with paths for a perfect fit
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\pgfdeclarelayer{nodes}
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\pgfdeclarelayer{path}
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\pgfsetlayers{main,nodes}
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% Layer settings
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\tikzset{
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% Layer hack, lets us write
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% later = * in scopes.
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layer/.style = {
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execute at begin scope={\pgfonlayer{#1}},
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execute at end scope={\endpgfonlayer}
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},
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%
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% Arrowhead tweak
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>={Latex[ width=2mm, length=2mm ]},
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%
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% Labels inside edges
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label/.style = {
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rectangle,
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% For automatic red background in solutions
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fill = \ORMCbgcolor,
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draw = none,
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rounded corners = 0mm
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},
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%
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% Nodes
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main/.style = {
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draw,
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circle,
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fill = white,
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line width = 0.4mm,
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text width = 5mm,
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align = center
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},
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accept/.style = {
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draw,
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circle,
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fill = white,
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double,
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double distance = 0.5mm,
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line width = 0.4mm,
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text width = 5mm,
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align = center
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},
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}
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\title{Warm-Up: Snakes}
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\uptitler{\smallurl{}}
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\subtitle{Prepared by Mark on \today}
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\begin{document}
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\maketitle
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\newcounter{mycounter}
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\setcounter{mycounter}{0}
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\newif\iftmp
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\begin{center}
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\begin{tikzpicture}[scale = 0.6]
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\begin{scope}[layer = nodes]
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\foreach \r in {1,3,5,7,9} {
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\foreach \i in {1,...,10} {
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\pgfmathparse{Mod(\i-1,10)}
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\let\x\pgfmathresult
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\pgfmathparse{div(\i-1,10) + \r}
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\let\y\pgfmathresult
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\pgfmathparse{(\r-1)*10+\i}
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\let\z\pgfmathresult
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\tmpfalse
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\pgfmathapproxequalto{\z}{4}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{5}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{19}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{21}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{28}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{31}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{35}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{44}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{47}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{52}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{53}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{59}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{70}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{76}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{81}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{88}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{98}
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\ifpgfmathcomparison\tmptrue
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\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
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\stepcounter{mycounter}
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\iftmp
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\node[accept] (\arabic{mycounter}) at (2*\x, 2*\y) {
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$\pgfmathprintnumber{\z}$
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};
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\else
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\node[main] (\arabic{mycounter}) at (2*\x, 2*\y) {
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$\pgfmathprintnumber{\z}$
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};
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\fi
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}
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\foreach \i in {1,...,10} {
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\pgfmathparse{9 - Mod(\i-1,10)}
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\let\x\pgfmathresult
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\pgfmathparse{div(\i-1,10) + \r + 1}
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\let\y\pgfmathresult
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\pgfmathparse{\r*10+\i}
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\let\z\pgfmathresult
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\tmpfalse
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\pgfmathapproxequalto{\z}{4}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{5}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{19}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{21}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{28}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{31}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{35}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{44}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{47}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{52}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{53}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{59}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{70}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{76}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{81}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{88}
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\ifpgfmathcomparison\tmptrue
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\else\pgfmathapproxequalto{\z}{98}
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\ifpgfmathcomparison\tmptrue
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\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
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\stepcounter{mycounter}
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\iftmp
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\node[accept] (\arabic{mycounter}) at (2*\x, 2*\y) {
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$\pgfmathprintnumber{\z}$
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};
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\else
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\node[main] (\arabic{mycounter}) at (2*\x, 2*\y) {
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$\pgfmathprintnumber{\z}$
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};
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\fi
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}
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}
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\end{scope}
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(4) -- +(1,0) -- +(1, 13) -- +(3, 13) -> (75);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(5) -- +(0,-1) -- +(1,-1) -- +(1,1) -- (15);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(19) -- +(1, 0) -- +(1, 5) -- + (-1, 5) -- (41);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(21) -- +(1, 0) -- +(1,-5) -- +(3, -5) -- (3);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(28) -- +(1,0) -- +(1,3) -- +(3,3) -- (50);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(31) -- +(1,0) -- +(1,-7) -- +(-3, -7) -- (8);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(35) -- +(-1,0) -- +(-1,11) -- (96);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(44) -- +(-1,0) -- +(-1,7) -- +(-3,7) -- (82);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(47) -- +(1,0) -- +(1,-3) -- +(5,-3) -- (30);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(52) -- +(-1, 0) -- +(-1, -1) -- +(-5,-1) -- +(-5,-5) -- +(-11,-5) -- (23);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(53) -- +(-1,0) -- +(-1,7) -- (94);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(59) -- +(-1, 0) -- +(-1,1) -- +(-3,1) -- +(-3,9) -- +(7, 9) -- (95);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(70) -- +(-1, 0) -- +(-1, 5) -- (91);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(76) -- +(-1, 0) -- +(-1,-1) -- +(-5,-1) -- +(-5,-5) -- +(-7,-5) -- (41);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(81) -- +(0, -1) -- +(3, -1) -- +(3, -3) -- (62);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(88) -- +(1, 0) -- +(1, -3) -- +(-1,-3) -- (67);
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\draw[->, line width = 0.6mm, rounded corners = 2mm]
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(98) -- +(0, 1.5) -- +(15.5, 1.5) -- +(15.5,-15) -- +(13, -15) -- (12);
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\end{tikzpicture}
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\end{center}
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\end{document} |