1

I want to put the dashed line to the flow chart I have drawn using tikz. The current working looks like as follows:

\documentclass{article}

\usepackage{tikz-cd,tikz}
\usetikzlibrary{arrows, matrix, positioning, shapes, arrows, decorations.pathreplacing}
\usetikzlibrary{shapes.geometric, arrows, calc, intersections}

\begin{document}
    \tikzstyle{decision} = [diamond, draw, fill=blue!20, 
    text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt]
    \tikzstyle{block} = [rectangle, draw, fill=green!10, 
    text width=25em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block2} = [rectangle, draw, fill=lime!35, 
    text width=12em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block3} = [rectangle, draw, fill=black!10!green, 
    text width=12em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block4} = [rectangle, draw, fill=black!10!green, 
    text width=8em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block5} = [rectangle, draw, fill=black!10!green, 
    text width=5em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block6} = [rectangle, draw, fill=black!10!green, 
    text width=5em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block7} = [rectangle, draw, fill=black!10!green, 
    text width=13em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block8} = [rectangle, draw, fill=black!10!green, 
    text width=6em, text centered, ellipse, minimum height=4em]
    \tikzstyle{block9} = [rectangle, draw, fill=teal!60, 
    text width=15em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block10} = [rectangle, draw, fill=cyan!60, 
    text width=10em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block11} = [rectangle, draw, fill=white!60, 
    text width=10em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block12} = [rectangle, draw, fill=cyan!60, 
    text width=15em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block13} = [rectangle, draw, fill=cyan!30, 
    text width=20em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{line} = [draw, -latex']
    \tikzstyle{cloud} = [draw, ellipse,fill=red!20, node distance=2cm,
    minimum height=4em]
    \vspace{1cm}

    \begin{figure}[!h]
        \centering
        \begin{tikzpicture}[node distance = 2cm, auto]
        % Place nodes
        \node [block] (title) {\textbf{JORDAN-CHEVALLEY DECOMPOSITION FOR\\ EEG SIGNALS DURING EPILEPTIC SEIZURES}};
        \node [block2, below of=title, node distance=2.3cm] (chap1) {\textbf{Chapter 1}\\ Introduction};
        \node [block3, below of=chap1, node distance=2.3cm] (chap2) {\textbf{Chapter 2}\\ Epileptic seizure};
        \node [block4, below of=chap2, node distance=2.3cm] (patient) {Patient and EEG signals recording};
        \node [block5, left of=patient, node distance=4cm] (fttm) {FTTM};
        \node [block6, right of=patient, node distance=4cm](flateeg) {Flat EEG};
        \node [block7, below of=patient, node distance=2.5cm](KR) {Krohn-Rhodes decomposition of EEG signals};
        \node [block8, below of=KR, node distance=2.5cm](JC) {Jordan-Chevalley decomposition};
        \node[block8, left of=JC, node distance=5cm](matrix) {Matrix partial order};
        \node[block8, right of=JC, node distance=5cm](prime) {Additive of prime number theory};
        \node[block9, below of=JC, node distance=2.8cm](chap3) {\textbf{Chapter 3}\\ Ordering of matrices by precede operator};
        \node [block9, below of=fttm, node distance =10cm](partial) {\textbf{Chapter 4}\\ Jordan-Chevalley decomposition of elementary EEG signals};
        \node [block9, below of=flateeg, node distance=10cm](chap5) {\textbf{Chapter 5}\\ Pseudo-Goldbach Theorem};
        \node[block12, below of=chap3, node distance=4.5cm](chap6) {\textbf{Chapter 6}\\ Implementation};
        \node[block13, below of=chap6, node distance=2.3cm](chap7) {\textbf{Chapter 7}\\ Conclusion and Recommendation};

        Draw edges
        \path [line] (title) -- (chap1);
        \path [line] (chap1) -- (chap2);
        \path [line] (chap2) -- (patient);
        \path [line] (patient) -- (fttm);
        \path [line] (patient) -- (flateeg);
        \path [line] (fttm) |-  (KR);
        \path [line] (flateeg) |-  (KR);
        \path [line] (KR) -- (JC);
        \path [line] (JC) -- (matrix);
        \path [line] (JC) -- (prime);
        \path [line] (JC) -- (chap3);
        \path [line] (chap3) -| (partial);
        \path [line] (chap3) -| (chap5);
        \path [line] (partial) -- (chap5);
        \path [line] (chap3) -- (chap6);
        \path [line] (chap6) -- (chap7);
        \end{tikzpicture}
        \caption{Research framework}
        \label{fig:overview}
    \end{figure}
\end{document}

that produces:

enter image description here

I want to put the dashed line and caption on this figure that looks like:

enter image description here

Please help.

Amirul Aizad
  • 977
  • 7
  • 18
  • See https://tex.stackexchange.com/questions/524879/how-do-i-do-this-please-help-me#comment1327796_524923 –  Jan 20 '20 at 04:52

3 Answers3

2

Here is a starting point. Using the nodes you already created, define new coordinates at middle point between them. I used south and north.

Then, draw dashed lines from left to right, changing the xshift value. I used \pm 7cm.

enter image description here

MWE

\documentclass{article}

\usepackage{tikz-cd,tikz}
\usetikzlibrary{arrows, matrix, positioning, shapes, arrows, decorations.pathreplacing,calc}
\usetikzlibrary{shapes.geometric, arrows, calc, intersections}

\begin{document}
    \tikzstyle{decision} = [diamond, draw, fill=blue!20, 
    text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt]
    \tikzstyle{block} = [rectangle, draw, fill=green!10, 
    text width=25em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block2} = [rectangle, draw, fill=lime!35, 
    text width=12em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block3} = [rectangle, draw, fill=black!10!green, 
    text width=12em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block4} = [rectangle, draw, fill=black!10!green, 
    text width=8em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block5} = [rectangle, draw, fill=black!10!green, 
    text width=5em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block6} = [rectangle, draw, fill=black!10!green, 
    text width=5em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block7} = [rectangle, draw, fill=black!10!green, 
    text width=13em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block8} = [rectangle, draw, fill=black!10!green, 
    text width=6em, text centered, ellipse, minimum height=4em]
    \tikzstyle{block9} = [rectangle, draw, fill=teal!60, 
    text width=15em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block10} = [rectangle, draw, fill=cyan!60, 
    text width=10em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block11} = [rectangle, draw, fill=white!60, 
    text width=10em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block12} = [rectangle, draw, fill=cyan!60, 
    text width=15em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block13} = [rectangle, draw, fill=cyan!30, 
    text width=20em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{line} = [draw, -latex']
    \tikzstyle{cloud} = [draw, ellipse,fill=red!20, node distance=2cm,
    minimum height=4em]
    \vspace{1cm}

    \begin{figure}[!h]
        \centering
        \begin{tikzpicture}[node distance = 2cm, auto]
        % Place nodes
        \node [block] (title) {\textbf{JORDAN-CHEVALLEY DECOMPOSITION FOR\\ EEG SIGNALS DURING EPILEPTIC SEIZURES}};
        \node [block2, below of=title, node distance=2.3cm] (chap1) {\textbf{Chapter 1}\\ Introduction};
        \node [block3, below of=chap1, node distance=2.3cm] (chap2) {\textbf{Chapter 2}\\ Epileptic seizure};
        \node [block4, below of=chap2, node distance=2.3cm] (patient) {Patient and EEG signals recording};
        \node [block5, left of=patient, node distance=4cm] (fttm) {FTTM};
        \node [block6, right of=patient, node distance=4cm](flateeg) {Flat EEG};
        \node [block7, below of=patient, node distance=2.5cm](KR) {Krohn-Rhodes decomposition of EEG signals};
        \node [block8, below of=KR, node distance=2.5cm](JC) {Jordan-Chevalley decomposition};
        \node[block8, left of=JC, node distance=5cm](matrix) {Matrix partial order};
        \node[block8, right of=JC, node distance=5cm](prime) {Additive of prime number theory};
        \node[block9, below of=JC, node distance=2.8cm](chap3) {\textbf{Chapter 3}\\ Ordering of matrices by precede operator};
        \node [block9, below of=fttm, node distance =10cm](partial) {\textbf{Chapter 4}\\ Jordan-Chevalley decomposition of elementary EEG signals};
        \node [block9, below of=flateeg, node distance=10cm](chap5) {\textbf{Chapter 5}\\ Pseudo-Goldbach Theorem};
        \node[block12, below of=chap3, node distance=4.5cm](chap6) {\textbf{Chapter 6}\\ Implementation};
        \node[block13, below of=chap6, node distance=2.3cm](chap7) {\textbf{Chapter 7}\\ Conclusion and Recommendation};

        Draw edges
        \path [line] (title) -- (chap1);
        \path [line] (chap1) -- (chap2);
        \path [line] (chap2) -- (patient);
        \path [line] (patient) -- (fttm);
        \path [line] (patient) -- (flateeg);
        \path [line] (fttm) |-  (KR);
        \path [line] (flateeg) |-  (KR);
        \path [line] (KR) -- (JC);
        \path [line] (JC) -- (matrix);
        \path [line] (JC) -- (prime);
        \path [line] (JC) -- (chap3);
        \path [line] (chap3) -| (partial);
        \path [line] (chap3) -| (chap5);
        \path [line] (partial) -- (chap5);
        \path [line] (chap3) -- (chap6);
        \path [line] (chap6) -- (chap7);

\coordinate (tmp1) at ($ (title.south)!.5!(chap1.north) $);
\draw[dashed] ([xshift=-7cm]tmp1)node[below right]{Introduction} -- ([xshift=7cm]tmp1);

\coordinate (tmp2) at ($ (chap1.south)!.5!(chap2.north) $);
\draw[dashed] ([xshift=-7cm]tmp2)node[below right]{Literature Review} -- ([xshift=7cm]tmp2);

\coordinate (tmp3) at ($ (JC.south)!.5!(chap3.north) $);
\draw[dashed] ([xshift=-7cm]tmp3)node[below right,align=left]{Main Results and\\ Implementation} -- ([xshift=7cm]tmp3);

\coordinate (tmp4) at ($ (chap6.south)!.5!(chap7.north) $);
\draw[dashed] ([xshift=-7cm]tmp4)node[below right]{Conclusion} -- ([xshift=7cm]tmp4);

        \end{tikzpicture}
        \caption{Research framework}
        \label{fig:overview}
    \end{figure}
\end{document}
Sigur
  • 37,330
  • See https://tex.stackexchange.com/questions/524879/how-do-i-do-this-please-help-me#comment1327796_524923 –  Jan 20 '20 at 04:51
  • @Schrödinger'scat, do you mean \tikzstyle? I only used the OP code. Thanks. – Sigur Jan 20 '20 at 10:56
2

This version uses coordinate[midway] and the (current bounding box) to place the dashed lines.

\documentclass{article}

\usepackage{tikz-cd,tikz}
\usetikzlibrary{arrows, matrix, positioning, shapes, arrows, decorations.pathreplacing}
\usetikzlibrary{shapes.geometric, arrows, calc, intersections}

\begin{document}
    \tikzstyle{decision} = [diamond, draw, fill=blue!20, 
    text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt]
    \tikzstyle{block} = [rectangle, draw, fill=green!10, 
    text width=25em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block2} = [rectangle, draw, fill=lime!35, 
    text width=12em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block3} = [rectangle, draw, fill=black!10!green, 
    text width=12em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block4} = [rectangle, draw, fill=black!10!green, 
    text width=8em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block5} = [rectangle, draw, fill=black!10!green, 
    text width=5em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block6} = [rectangle, draw, fill=black!10!green, 
    text width=5em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block7} = [rectangle, draw, fill=black!10!green, 
    text width=13em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block8} = [rectangle, draw, fill=black!10!green, 
    text width=6em, text centered, ellipse, minimum height=4em]
    \tikzstyle{block9} = [rectangle, draw, fill=teal!60, 
    text width=15em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block10} = [rectangle, draw, fill=cyan!60, 
    text width=10em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block11} = [rectangle, draw, fill=white!60, 
    text width=10em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block12} = [rectangle, draw, fill=cyan!60, 
    text width=15em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block13} = [rectangle, draw, fill=cyan!30, 
    text width=20em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{line} = [draw, -latex']
    \tikzstyle{cloud} = [draw, ellipse,fill=red!20, node distance=2cm,
    minimum height=4em]
    \vspace{1cm}

    \begin{figure}[!h]
        \centering
        \begin{tikzpicture}[node distance = 2cm, auto]
        % Place nodes
        \node [block] (title) {\textbf{JORDAN-CHEVALLEY DECOMPOSITION FOR\\ EEG SIGNALS DURING EPILEPTIC SEIZURES}};
        \node [block2, below of=title, node distance=2.3cm] (chap1) {\textbf{Chapter 1}\\ Introduction};
        \node [block3, below of=chap1, node distance=2.3cm] (chap2) {\textbf{Chapter 2}\\ Epileptic seizure};
        \node [block4, below of=chap2, node distance=2.3cm] (patient) {Patient and EEG signals recording};
        \node [block5, left of=patient, node distance=4cm] (fttm) {FTTM};
        \node [block6, right of=patient, node distance=4cm](flateeg) {Flat EEG};
        \node [block7, below of=patient, node distance=2.5cm](KR) {Krohn-Rhodes decomposition of EEG signals};
        \node [block8, below of=KR, node distance=2.5cm](JC) {Jordan-Chevalley decomposition};
        \node[block8, left of=JC, node distance=5cm](matrix) {Matrix partial order};
        \node[block8, right of=JC, node distance=5cm](prime) {Additive of prime number theory};
        \node[block9, below of=JC, node distance=2.8cm](chap3) {\textbf{Chapter 3}\\ Ordering of matrices by precede operator};
        \node [block9, below of=fttm, node distance =10cm](partial) {\textbf{Chapter 4}\\ Jordan-Chevalley decomposition of elementary EEG signals};
        \node [block9, below of=flateeg, node distance=10cm](chap5) {\textbf{Chapter 5}\\ Pseudo-Goldbach Theorem};
        \node[block12, below of=chap3, node distance=4.5cm](chap6) {\textbf{Chapter 6}\\ Implementation};
        \node[block13, below of=chap6, node distance=2.3cm](chap7) {\textbf{Chapter 7}\\ Conclusion and Recommendation};

        %Draw edges
        \path [line] (title) -- (chap1) coordinate[midway] (A);
        \path [line] (chap1) -- (chap2) coordinate[midway] (B);
        \path [line] (chap2) -- (patient);
        \path [line] (patient) -- (fttm);
        \path [line] (patient) -- (flateeg);
        \path [line] (fttm) |-  (KR);
        \path [line] (flateeg) |-  (KR);
        \path [line] (KR) -- (JC);
        \path [line] (JC) -- (matrix);
        \path [line] (JC) -- (prime);
        \path [line] (JC) -- (chap3) coordinate[midway] (C);
        \path [line] (chap3) -| (partial);
        \path [line] (chap3) -| (chap5);
        \path [line] (partial) -- (chap5);
        \path [line] (chap3) -- (chap6);
        \path [line] (chap6) -- (chap7) coordinate[midway] (D);

        %Draw dashed lines (use previously defined bounding box)
        \draw[dashed] (current bounding box.west |- A) -- (current bounding box.east |- A) 
          node[pos=0, below right] {Introduction};
        \draw[dashed] (current bounding box.west |- B) -- (current bounding box.east |- B)
          node[pos=0, below right] {Literature Review};
        \draw[dashed] (current bounding box.west |- C) -- (current bounding box.east |- C)
          node[pos=0, below right, align=left] {Main results and \\ implementation};
        \draw[dashed] (current bounding box.west |- D) -- (current bounding box.east |- D)
          node[pos=0, below right] {Conclusion};
        \end{tikzpicture}
        \caption{Research framework}
        \label{fig:overview}
    \end{figure}
\end{document}
John Kormylo
  • 79,712
  • 3
  • 50
  • 120
  • See https://tex.stackexchange.com/questions/524879/how-do-i-do-this-please-help-me#comment1327796_524923 –  Jan 20 '20 at 04:52
0

enter image description here For the dash line

The operative part is below-- simply define two nodes to define the start and end point of the dash line--and then use the command \draw to connect the two nodes

To move the line up or down vertically use the \yshift and for horizontal shift or changing the length of the line vary the \xshift

    \node[left of=JC, xshift=6cm, yshift=1cm](m) {};
    \node[right of=JC, xshift=-6cm, yshift=1cm](p) {};
    \draw [thick,dash dot] (m) -- (p);

For adding Introduction caption above the dash line add the code

    \node[left of=JC, xshift=5.2cm, yshift=1.2cm](m) {Introduction};

enter image description here

The full MWE

\documentclass{article}

\usepackage{tikz-cd,tikz}
\usetikzlibrary{arrows, matrix, positioning, shapes, arrows, decorations.pathreplacing}
\usetikzlibrary{shapes.geometric, arrows, calc, intersections}

\begin{document}
    \tikzstyle{decision} = [diamond, draw, fill=blue!20, 
    text width=4.5em, text badly centered, node distance=3cm, inner sep=0pt]
    \tikzstyle{block} = [rectangle, draw, fill=green!10, 
    text width=25em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block2} = [rectangle, draw, fill=lime!35, 
    text width=12em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block3} = [rectangle, draw, fill=black!10!green, 
    text width=12em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block4} = [rectangle, draw, fill=black!10!green, 
    text width=8em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block5} = [rectangle, draw, fill=black!10!green, 
    text width=5em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block6} = [rectangle, draw, fill=black!10!green, 
    text width=5em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block7} = [rectangle, draw, fill=black!10!green, 
    text width=13em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block8} = [rectangle, draw, fill=black!10!green, 
    text width=6em, text centered, ellipse, minimum height=4em]
    \tikzstyle{block9} = [rectangle, draw, fill=teal!60, 
    text width=15em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block10} = [rectangle, draw, fill=cyan!60, 
    text width=10em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block11} = [rectangle, draw, fill=white!60, 
    text width=10em, text centered, rounded corners, minimum height=4em]
    \tikzstyle{block12} = [rectangle, draw, fill=cyan!60, 
    text width=15em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{block13} = [rectangle, draw, fill=cyan!30, 
    text width=20em, text centered, rounded corners, minimum height=3em]
    \tikzstyle{line} = [draw, -latex']
    \tikzstyle{cloud} = [draw, ellipse,fill=red!20, node distance=2cm,
    minimum height=4em]
    \vspace{1cm}

    \begin{figure}[!h]
        \centering
        \begin{tikzpicture}[node distance = 2cm, auto]
        % Place nodes
        \node [block] (title) {\textbf{JORDAN-CHEVALLEY DECOMPOSITION FOR\\ EEG SIGNALS DURING EPILEPTIC SEIZURES}};
        \node [block2, below of=title, node distance=2.3cm] (chap1) {\textbf{Chapter 1}\\ Introduction};
        \node [block3, below of=chap1, node distance=2.3cm] (chap2) {\textbf{Chapter 2}\\ Epileptic seizure};
        \node [block4, below of=chap2, node distance=2.3cm] (patient) {Patient and EEG signals recording};
        \node [block5, left of=patient, node distance=4cm] (fttm) {FTTM};
        \node [block6, right of=patient, node distance=4cm](flateeg) {Flat EEG};
        \node [block7, below of=patient, node distance=2.5cm](KR) {Krohn-Rhodes decomposition of EEG signals};
        \node [block8, below of=KR, node distance=2.5cm](JC) {Jordan-Chevalley decomposition};
        \node[block8, left of=JC, node distance=5cm](matrix) {Matrix partial order};
        \node[block8, right of=JC, node distance=5cm](prime) {Additive of prime number theory};
        \node[block9, below of=JC, node distance=2.8cm](chap3) {\textbf{Chapter 3}\\ Ordering of matrices by precede operator};
        \node [block9, below of=fttm, node distance =10cm](partial) {\textbf{Chapter 4}\\ Jordan-Chevalley decomposition of elementary EEG signals};
        \node [block9, below of=flateeg, node distance=10cm](chap5) {\textbf{Chapter 5}\\ Pseudo-Goldbach Theorem};
        \node[block12, below of=chap3, node distance=4.5cm](chap6) {\textbf{Chapter 6}\\ Implementation};
        \node[block13, below of=chap6, node distance=2.3cm](chap7) {\textbf{Chapter 7}\\ Conclusion and Recommendation};

        \node[left of=JC, xshift=6cm, yshift=1cm](m) {};
        \node[right of=JC, xshift=-6cm, yshift=1cm](p) {};
        \draw [thick,dash dot] (m) -- (p);

        \node[left of=JC, xshift=5.2cm, yshift=1.2cm](m) {Introduction};  

        Draw edges
        \path [line] (title) -- (chap1);
        \path [line] (chap1) -- (chap2);
        \path [line] (chap2) -- (patient);
        \path [line] (patient) -- (fttm);
        \path [line] (patient) -- (flateeg);
        \path [line] (fttm) |-  (KR);
        \path [line] (flateeg) |-  (KR);
        \path [line] (KR) -- (JC);
        \path [line] (JC) -- (matrix);
        \path [line] (JC) -- (prime);
        \path [line] (JC) -- (chap3);
        \path [line] (chap3) -| (partial);
        \path [line] (chap3) -| (chap5);
        \path [line] (partial) -- (chap5);
        \path [line] (chap3) -- (chap6);
        \path [line] (chap6) -- (chap7);
        \end{tikzpicture}
        \caption{Research framework}
        \label{fig:overview}
    \end{figure}
\end{document}
js bibra
  • 21,280
  • See https://tex.stackexchange.com/questions/524879/how-do-i-do-this-please-help-me#comment1327796_524923 –  Jan 20 '20 at 04:51