274 lines
8.7 KiB
Text
274 lines
8.7 KiB
Text
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\documentclass[crop,tikz]{standalone}
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\input{common-headers}
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\begin{document}
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\tikzset{cell color/.style={black!20}}
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\newcommand{\common}{%
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\coordinate (ll) at (-2.5cm,-2.5cm);
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\coordinate (ur) at (2.5cm,2.5cm);
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\draw (ll) rectangle (ur);
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\clip (ll)+(0.1cm,0.1cm) rectangle ([shift={(-0.1cm,-0.1cm)}]ur);
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\fill[cell color] (ll) rectangle (ur);
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\draw[very thick, white] (ll) grid (ur);
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}
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\begin{tikzpicture}
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\coordinate (ll) at (-2.5cm,-2.5cm);
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\coordinate (ur) at (2.5cm,2.5cm);
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\draw (ll) rectangle (ur);
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\clip (ll)+(0.1cm,0.1cm) rectangle ([shift={(-0.1cm,-0.1cm)}]ur);
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\fill[cell color] (ll) rectangle (ur);
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\draw[very thick, white, step=2cm] (ll) grid (ur);
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\begin{scope}[xshift=-2.5cm,yshift=-2.5cm]
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\node at (1,1) {a1};
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\node at (1,2) {$\strut$a2};
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\node at (2,2) {$\strut$\underline{a3}};
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\node at (2,1) {a4};
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\draw[step=1cm, xshift=0.5cm, yshift=0.5cm] (0.1,0.1) grid (1.9,1.9);
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\node[opacity=0.5] at (1.5,1.5) {\Huge{A}};
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\end{scope}
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\begin{scope}[xshift=-2.5cm,yshift=-0.5cm]
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\node at (1,1) {$\strut$b1};
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\node at (1,2) {b2};
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\node at (2,2) {b3};
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\node at (2,1) {$\strut$\underline{b4}};
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\draw[step=1cm, xshift=0.5cm, yshift=0.5cm] (0.1,0.1) grid (1.9,1.9);
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\node[opacity=0.5] at (1.5,1.5) {\Huge{B}};
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\end{scope}
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\begin{scope}[xshift=-0.5cm,yshift=-0.5cm]
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\node at (1,1) {$\strut$\underline{c1}};
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\node at (1,2) {c2};
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\node at (2,2) {c3};
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\node at (2,1) {$\strut$c4};
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\draw[step=1cm, xshift=0.5cm, yshift=0.5cm] (0.1,0.1) grid (1.9,1.9);
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\node[opacity=0.5] at (1.5,1.5) {\Huge{C}};
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\end{scope}
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\begin{scope}[xshift=-0.5cm,yshift=-2.5cm]
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\node at (1,1) {d1};
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\node at (1,2) {$\strut$\underline{d2}};
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\node at (2,2) {$\strut$d3};
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\node at (2,1) {d4};
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\draw[step=1cm, xshift=0.5cm, yshift=0.5cm] (0.1,0.1) grid (1.9,1.9);
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\node[opacity=0.5] at (1.5,1.5) {\Huge{D}};
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\end{scope}
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\draw[very thick, step=4cm, xshift=2cm, yshift=2cm ] (ll) grid (ur);
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\end{tikzpicture}
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\begin{tikzpicture}
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\common
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\draw[very thick, step=2cm] (ll) grid (ur);
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\begin{scope}[xshift=-2.5cm,yshift=-2.5cm]
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\node at (1,1) {A};
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\node at (1,2) {B};
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\node at (2,2) {C};
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\node at (2,1) {D};
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\end{scope}
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\end{tikzpicture}
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\begin{tikzpicture}
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\common
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\begin{scope}[xshift=-2.5cm,yshift=-2.5cm]
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\node (oG) at (0,0) {};
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\node (oH) at (0,1) {};
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\node (oI) at (0,2) {};
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\node (oJ) at (0,3) {};
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\node (oK) at (1,3) {};
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\node (oL) at (2,3) {};
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\node (oM) at (3,3) {};
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\node (oN) at (3,2) {};
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\node (oO) at (3,1) {};
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\node (oP) at (3,0) {};
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\node (oE) at (2,0) {};
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\node (oF) at (1,0) {};
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\end{scope}
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\begin{scope}[xshift=-1cm,yshift=-1cm, scale=0.5,
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every node/.style={fill=black,inner sep=0, minimum size=0.5cm}]
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\clip (-2,-2) rectangle (2,2);
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\fill[cell color] (-2,-2) rectangle (2,2);
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\draw[step=1cm] (ll) grid (ur);
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\begin{scope}[scale=0.5, white]
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\node at (-1,-1) {A};
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\node at (-1, 1) {B};
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\node at ( 1, 1) {C};
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\node at ( 1,-1) {D};
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\end{scope}
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\draw[white] (-0.90,-0.90) grid (0.90,0.90);
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\begin{scope}[shift={(-1.5,-1.5)},
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every node/.style={inner sep=0, minimum size=2pt}]
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\node (0) at ( 0, 0) {};
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\node (1) at ( 0, 3) {};
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\node (2) at ( 3, 3) {};
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\node (3) at ( 3, 0) {};
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\node (4) at ( 0, 1) {};
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\node (5) at ( 0, 2) {};
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\node (6) at ( 1, 3) {};
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\node (7) at ( 2, 3) {};
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\node (8) at ( 3, 2) {};
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\node (9) at ( 3, 1) {};
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\node (10) at ( 2, 0) {};
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\node (11) at ( 1, 0) {};
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\end{scope}
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\end{scope}
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\draw[very thick, step=2cm, black!50] (ll) grid (ur);
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\draw[very thick] (-2,-2) rectangle (0,0);
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\draw[-stealth, thick] (oG.center) to (0.center);
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\draw[-stealth, thick] (oJ.center) to (1.center);
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\draw[-stealth, thick] (oM.center) to (2.center);
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\draw[-stealth, thick] (oP.center) to (3.center);
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\draw[-stealth, thick] [bend right] (oH.center) to (4.center);
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\draw[-stealth, thick] [bend left] (oI.center) to (5.center);
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\draw[-stealth, thick] [bend right] (oK.center) to (6.center);
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\draw[-stealth, thick] [bend left] (oL.center) to (7.center);
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\draw[-stealth, thick] [bend right] (oN.center) to (8.center);
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\draw[-stealth, thick] [bend left] (oO.center) to (9.center);
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\draw[-stealth, thick] [bend right] (oE.center) to (10.center);
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\draw[-stealth, thick] [bend left] (oF.center) to (11.center);
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\end{tikzpicture}
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\begin{tikzpicture}
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\common
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\begin{scope}[xshift=-1cm,yshift=-1cm, scale=0.5,
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every node/.style={fill=black!50,inner sep=0, minimum size=0.5cm}]
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\clip (-2,-2) rectangle (2,2);
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\fill[cell color] (-2,-2) rectangle (2,2);
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\draw[step=1cm, black!50] (ll) grid (ur);
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\begin{scope}[scale=0.5, white]
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\node at (-1,-1) {A'};
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\node at (-1, 1) {B'};
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\node at ( 1, 1) {C'};
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\node at ( 1,-1) {D'};
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\end{scope}
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\end{scope}
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\begin{scope}[xshift=1cm,yshift=1cm, scale=0.5,
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every node/.style={fill=black!50,inner sep=0, minimum size=0.5cm}]
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\clip (-2,-2) rectangle (2,2);
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\fill[cell color] (-2,-2) rectangle (2,2);
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\draw[step=1cm, black!50] (ll) grid ([shift={(-4,-4)}]ur);
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\begin{scope}[scale=0.5, white]
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\node at (-1,-1) {};
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\end{scope}
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\end{scope}
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\begin{scope}[black!50]
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\draw[very thick] (-2,-2) rectangle (0,0);
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\draw[very thick] (0,0) rectangle (2,2);
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\end{scope}
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\draw[very thick, step=2cm, xshift=1cm, yshift=1cm] (ll) grid (ur);
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\end{tikzpicture}
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\begin{tikzpicture}
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\common
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\begin{scope}[xshift=-1cm,yshift=-1cm, scale=0.5,
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every node/.style={fill=black!50,inner sep=0, minimum size=0.5cm}]
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\clip (-2,-2) rectangle (2,2);
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\fill[cell color] (-2,-2) rectangle (2,2);
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\draw[step=1cm, black!50] (ll) grid (ur);
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\begin{scope}[scale=0.5, white]
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\node (A') at (-1,-1) {A'};
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\node (B') at (-1, 1) {B'};
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\node at ( 1, 1) {C'};
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\node (D') at ( 1,-1) {D'};
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\end{scope}
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\end{scope}
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\begin{scope}[xshift=0cm,yshift=0cm, scale=0.5,
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every node/.style={fill=black!50,inner sep=0, minimum size=0.5cm}]
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\clip (-2,-2) rectangle (0,0);
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\fill[cell color] (-2,-2) rectangle (2,2);
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\draw[step=1cm, black!50] (ll) grid (ur);
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\begin{scope}[scale=0.5, white]
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\node at (-1,-1) {C'};
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\end{scope}
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\end{scope}
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\begin{scope}[xshift=0cm,yshift=0cm, scale=0.5,
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every node/.style={fill=black!50,inner sep=0, minimum size=0.5cm}]
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\clip (0,0) rectangle (2,2);
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\fill[cell color] (-2,-2) rectangle (2,2);
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\draw[step=1cm, black!50] (ll) grid (ur);
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\begin{scope}[scale=0.5, white]
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\node at (1,1) {};
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\end{scope}
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\end{scope}
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\begin{scope}[black!50]
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\draw[very thick] (-2,-2) rectangle (0,0);
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\draw[very thick] (0,0) rectangle (2,2);
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\end{scope}
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\begin{scope}[scale=0.25,xshift=-2cm,yshift=-2cm,
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every node/.style={circle, inner sep=0, minimum size=2pt}]
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\node (A) at (-1,-1) {};
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\node (B) at (-1, 1) {};
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\node (D) at ( 1,-1) {};
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\draw[stealth-, thick] (A.center) to +( 225:2cm);
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\draw[stealth-, thick] (B.center) to [bend right] ([shift={(0,0.5)}]B'.center);
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\draw[stealth-, thick] (D.center) to [bend left ] ([shift={(0.5,0)}]D'.center);
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\end{scope}
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\draw[very thick, step=2cm, xshift=1cm,yshift=1cm] (ll) grid (ur);
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\end{tikzpicture}
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\begin{tikzpicture}
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\common
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\begin{scope}[xshift=-1cm,yshift=-1cm, scale=0.5,
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every node/.style={black!50, inner sep=0, minimum size=0.5cm},
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important/.style={white, fill=black!50}]
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\clip (-2,-2) rectangle (2,2);
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\fill[cell color] (-2,-2) rectangle (2,2);
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\draw[step=1cm, black!50] (ll) grid (ur);
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\begin{scope}[scale=0.5]
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\begin{scope}[shift={(-2,-2)}]
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\node[important] at (-1,-1) {A'};
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\node at (-1, 1) {B'};
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\node at ( 1, 1) {C'};
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\node at ( 1,-1) {D'};
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\end{scope}
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\begin{scope}[shift={(-2, 2)}]
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\node at (-1,-1) {A'};
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\node[important] at (-1, 1) {B'};
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\node at ( 1, 1) {C'};
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\node at ( 1,-1) {D'};
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\end{scope}
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\begin{scope}[shift={( 2, 2)}]
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\node at (-1,-1) {A'};
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\node at (-1, 1) {B'};
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\node[important] at ( 1, 1) {C'};
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\node at ( 1,-1) {D'};
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\end{scope}
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\begin{scope}[shift={( 2,-2)}]
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\node at (-1,-1) {A'};
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\node at (-1, 1) {B'};
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\node at ( 1, 1) {C'};
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\node[important] at ( 1,-1) {D'};
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\end{scope}
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\end{scope}
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\end{scope}
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\draw[very thick, white] (ll) grid (ur);
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\draw[very thick, step=2cm, xshift=1cm,yshift=1cm] (ll) grid (ur);
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\end{tikzpicture}
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\end{document}
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