mirror of
https://github.com/kuhyx/WUT_Computer_Science.git
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Fixing task 3
This commit is contained in:
parent
635891af2f
commit
70f39efca1
@ -1,6 +1,6 @@
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# Fdb version 3
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["pdflatex"] 1637122832 "project.tex" "project.pdf" "project" 1637122833
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"/etc/texmf/web2c/texmf.cnf" 1635008344 475 c0e671620eb5563b2130f56340a5fde8 ""
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["pdflatex"] 1637160557 "project.tex" "project.pdf" "project" 1637160560
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"/etc/texmf/web2c/texmf.cnf" 1624878795 475 c0e671620eb5563b2130f56340a5fde8 ""
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"/usr/share/texlive/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
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"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1246382020 1004 54797486969f23fa377b128694d548df ""
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"/usr/share/texlive/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1246382020 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 ""
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@ -123,11 +123,11 @@
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"/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty" 1463002160 55589 34128738f682d033422ca125f82e5d62 ""
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"/usr/share/texlive/texmf-dist/web2c/texmf.cnf" 1613593815 38841 799d1dd9682a55ce442e10c99777ecc1 ""
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"/usr/share/texmf/web2c/texmf.cnf" 1613593815 38841 799d1dd9682a55ce442e10c99777ecc1 ""
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"/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1635008389 5160710 ecf427ae8fa19139d8691f526e47bb9b ""
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"/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1635008460 2570450 6e12b1c097cbda0f70015645294afd24 ""
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"project.aux" 1637122833 2768 ba7afbf6aa8cf2ecf75244c6b0b5947d "pdflatex"
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"project.tex" 1637122831 19066 b12925272f2edf5b24213d5833ad0f56 ""
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"/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map" 1624878842 5160710 ecf427ae8fa19139d8691f526e47bb9b ""
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"/var/lib/texmf/web2c/pdftex/pdflatex.fmt" 1624878876 2570852 ef2a47e64eb64912b01ccaedc81044b8 ""
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"project.aux" 1637160560 2768 ba7afbf6aa8cf2ecf75244c6b0b5947d "pdflatex"
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"project.tex" 1637160557 19508 62a6208c5f9a3e39d9db16a6856da62e ""
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(generated)
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"project.log"
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"project.pdf"
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"project.aux"
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"project.pdf"
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387
project.fls
387
project.fls
@ -1,4 +1,4 @@
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PWD /home/kuchy/Zlew/Studia/SEM_5/elac DONE/project
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PWD /home/kuchy/Zlew/Studia/SEM_5/elac DONE/project/elacProjectA
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INPUT /etc/texmf/web2c/texmf.cnf
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INPUT /usr/share/texmf/web2c/texmf.cnf
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INPUT /usr/share/texlive/texmf-dist/web2c/texmf.cnf
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@ -143,388 +143,3 @@ INPUT /usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty
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\OML/cmm/m/it/10 ^^O[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 move\OT1/cmr/m/n/10 ([]\OML/cmm/m/it/10 ; a\OT1/cmr/m/n/10 )) = (\OML/cmm/m/it/10 ^^O[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 move\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 q[]; q[]; q[]; q[]; q[]; q[]; q[]; []; a\OT1/cmr/m/n/10 ))) = \OML/cmm/m/it/10 ^^O[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 q[]\OT1/cmr/m/n/10 ) = (\OML/cmm/m/it/10 q[]; q[]; q[]; []\OT1/cmr/m/n/10 ) = []
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@ -451,16 +451,16 @@ We are given following regular expression:
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I will use $\epsilon_{cl}$ instead of $\epsilon$-closure for brevity sake.
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Final state - $\underline{q_{19}}$ was marked with an $\underline{underline}$ and so did all the states of DFA that contain it.
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\[ A = \epsilon_{cl}(q_0) = (q_0, q_1, q_3, q_4, q_6, q_{12}, q_{18}, \underline{q_{19}}) = \underline{A} \]
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\[ \epsilon_{cl}(move(\underline{A}, a)) = (\epsilon_{cl}(move(q_0, q_1, q_3, q_4, q_6, q_{12}, q_{18}, \underline{q_{19}}, a))) = \epsilon_{cl}(q_9) = (q_9, q_{12}, q_{18}, \underline{q_{19}}) = \underline{B} \]
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\[ A = \epsilon_{cl}(move(\underline{A}, b)) = \epsilon_{cl}(move(q_0, q_1, q_3, q_4, q_6, q_{12}, q_{18}, \underline{q_{19}}, b))) = \epsilon_{cl}(q_2, q_7) = (q_{10}, q_{15}) = C \]
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\[ \epsilon_{cl}(move(\underline{B}, a)) = \epsilon_{cl}(move(q_9, q_{12}, q_{18}, \underline{q_{19}}), a) = \emptyset \]
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\[ \epsilon_{cl}(move(\underline{B}, b)) = \epsilon_{cl}(move(q_9, q_{12}, q_{18}, \underline{q_{19}}), b) = \emptyset \]
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\[ \epsilon_{cl}(move(C, a)) = \epsilon_{cl}(move(q_{10}, q_{15}), a) = \epsilon_{cl}(q_{13}) = (q_{15}) = D \]
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\[ \epsilon_{cl}(move(C, b)) = \epsilon_{cl}(move(q_{10}, q_{15}), b) = \epsilon_{cl}(q_{17}) = (q_{18}, \underline{q_{19}}) = \underline{E} \]
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\[ \epsilon_{cl}(move(D, a)) = \epsilon_{cl}(move((q_{15}), a) = \epsilon_{cl}(\emptyset) = \emptyset \]
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\[ \epsilon_{cl}(move(D, b)) = \epsilon_{cl}(move((q_{15}), b) = \epsilon_{cl}(q_{17}) = (q_{18}, \underline{q_{19}}) = \underline{E} \]
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\[ \epsilon_{cl}(move(\underline{E}, a)) = \epsilon_{cl}(move((q_{18}, \underline{q_{19}}), a) = \epsilon_{cl}(\emptyset) = \emptyset \]
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\[ \epsilon_{cl}(move(\underline{E}, b)) = \epsilon_{cl}(move((q_{18}, \underline{q_{19}}), b) = \epsilon_{cl}(\emptyset) = \emptyset \]
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\[ \epsilon_{cl}(move(\underline{A}, a)) = (\epsilon_{cl}(move(q_0, q_1, q_3, q_4, q_6, q_{12}, q_{18}, \underline{q_{19}}, a))) = \epsilon_{cl}(q_9) = (q_6, q_9, q_{12}, q_{18}, \underline{q_{19}}) = \underline{B} \]
|
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\[ A = \epsilon_{cl}(move(\underline{A}, b)) = \epsilon_{cl}(move(q_0, q_1, q_3, q_4, q_6, q_{12}, q_{18}, \underline{q_{19}}, b))) = \epsilon_{cl}(q_2, q_7) = (q_2, q_7, q_{10}, q_{15}) = C \]
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\[ \epsilon_{cl}(move(\underline{B}, a)) = \epsilon_{cl}(move(q_6, q_9, q_{12}, q_{18}, \underline{q_{19}}), a) = \epsilon_{cl}(q_9) = (q_6, q_9, q_{12}, q_{18}, \underline{q_{19}}) = \underline{B} \]
|
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\[ \epsilon_{cl}(move(\underline{B}, b)) = \epsilon_{cl}(move(q_6, q_9, q_{12}, q_{18}, \underline{q_{19}}), b) = \emptyset \]
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\[ \epsilon_{cl}(move(C, a)) = \epsilon_{cl}(move(q_2, q_7, q_{10}, q_{15}), a) = \epsilon_{cl}(q_{13}) = (q_{10}, q_{13}, q_{15}) = D \]
|
||||
\[ \epsilon_{cl}(move(C, b)) = \epsilon_{cl}(move((q_2, q_7, q_{10}, q_{15}), b) = \epsilon_{cl}(q_{17}) = (q_{17}, q_{18}, \underline{q_{19}}) = \underline{E} \]
|
||||
\[ \epsilon_{cl}(move(D, a)) = \epsilon_{cl}(move((q_{10}, q_{13}, q_{15}), a) = \epsilon_{cl}(q_{13}) = (q_{10}, q_{13}, q_{15}) = D \]
|
||||
\[ \epsilon_{cl}(move(D, b)) = \epsilon_{cl}(move(q_{10}, q_{13}, q_{15}, b) = \epsilon_{cl}(q_{17}) = (q_{17}, q_{18}, \underline{q_{19}}) = \underline{E} \]
|
||||
\[ \epsilon_{cl}(move(\underline{E}, a)) = \epsilon_{cl}(move(q_{17}, q_{18}, \underline{q_{19}}), a) = \epsilon_{cl}(\emptyset) = \emptyset \]
|
||||
\[ \epsilon_{cl}(move(\underline{E}, b)) = \epsilon_{cl}(move(q_{17}, q_{18}, \underline{q_{19}}), b) = \epsilon_{cl}(\emptyset) = \emptyset \]
|
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|
||||
\subsection{State table}
|
||||
\begin{center}
|
||||
@ -470,11 +470,11 @@ Final state - $\underline{q_{19}}$ was marked with an $\underline{underline}$ an
|
||||
\hline
|
||||
$\underline{A}$ & $\underline{B}$ & C\\
|
||||
\hline
|
||||
$\underline{B}$ & $\emptyset$ & $\emptyset$ \\
|
||||
$\underline{B}$ & $\underline{B}$ & $\emptyset$ \\
|
||||
\hline
|
||||
C & D & $\underline{E}$\\
|
||||
\hline
|
||||
D & $\emptyset$ & $\underline{E}$\\
|
||||
D & D & $\underline{E}$\\
|
||||
\hline
|
||||
$\underline{E}$ & $\emptyset$ & $\emptyset$\\
|
||||
\hline
|
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@ -487,40 +487,42 @@ $\emptyset$ & $\emptyset$ & $\emptyset$\\
|
||||
\centering
|
||||
\begin{tikzpicture} [node distance = 2cm, on grid, auto]
|
||||
|
||||
\node (q0) [state, accepting, initial, initial text = {}] {A};
|
||||
\node (q1) [state, accepting, above right = of q0] {B};
|
||||
\node (q2) [state, below right = of q0] {C};
|
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\node (q3) [state, accepting, above right = of q2] {E};
|
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\node (q4) [state, below right = of q2] {D};
|
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\node (q5) [state, right = of q1] {$\emptyset$};
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\node (q0) [state, accepting, initial, initial text = {}] {A};
|
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\node (q1) [state, accepting, above right = of q0] {B};
|
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\node (q2) [state, below right = of q0] {C};
|
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\node (q3) [state, accepting, above right = of q2] {E};
|
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\node (q4) [state, below right = of q2] {D};
|
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\node (q5) [state, right = of q1] {$\emptyset$};
|
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\path [-stealth, thick]
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(q0) edge node {$a$} (q1);
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\path [-stealth, thick]
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(q0) edge node {$a$} (q1);
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\path [-stealth, thick]
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(q0) edge node {$b$} (q2);
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\path [-stealth, thick]
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(q0) edge node {$b$} (q2);
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\path [-stealth, thick]
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(q2) edge node {$a$} (q4);
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\path [-stealth, thick]
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(q1) edge [loop] node {$a$} (q1);
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\path [-stealth, thick]
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(q2) edge node {$b$} (q3);
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\path [-stealth, thick]
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(q2) edge node {$b$} (q4);
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\path [-stealth, thick]
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(q4) edge node {$b$} (q3);
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\path [-stealth, thick]
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(q2) edge node {$b$} (q3);
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\path [-stealth, thick]
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(q1) edge [bend left] node {$a, b$} (q5);
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\path [-stealth, thick]
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(q4) edge [bend right] node {$b$} (q3);
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\path [-stealth, thick]
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(q3) edge node {$a, b$} (q5);
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\path [-stealth, thick]
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(q4) edge [loop] node {$a$} (q4);
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\path [-stealth, thick]
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(q4) edge [bend right] node {$a$} (q5);
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\path [-stealth, thick]
|
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(q1) edge [bend left] node {$a$} (q5);
|
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\path [-stealth, thick]
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(q5) edge [loop] node {$a, b$} (q5);
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\path [-stealth, thick]
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(q3) edge node {$a, b$} (q5);
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\path [-stealth, thick]
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(q5) edge [loop] node {$a, b$} (q5);
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|
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@ -574,6 +576,9 @@ No states could be minimized! Therefore our final minimal state DFA looks like t
|
||||
\path [-stealth, thick]
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(q0) edge node {$b$} (q2);
|
||||
|
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\path [-stealth, thick]
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(q1) edge [loop] node {$a$} (q1);
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\path [-stealth, thick]
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(q2) edge node {$a$} (q4);
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@ -587,7 +592,10 @@ No states could be minimized! Therefore our final minimal state DFA looks like t
|
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(q1) edge [bend left] node {$a, b$} (q5);
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\path [-stealth, thick]
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(q3) edge node {$a, b$} (q5);
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(q3) edge [below loop] node {$a$} (q3);
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\path [-stealth, thick]
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(q3) edge node {$a$} (q5);
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\path [-stealth, thick]
|
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(q4) edge [bend right] node {$a$} (q5);
|
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|
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Loading…
Reference in New Issue
Block a user