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-rw-r--r--mat/domace_naloge/20/dokument.aux2
-rw-r--r--mat/domace_naloge/20/dokument.log139
-rw-r--r--mat/domace_naloge/20/dokument.pdfbin64521 -> 75040 bytes
-rw-r--r--mat/domace_naloge/20/dokument.synctex.gzbin20994 -> 21311 bytes
-rw-r--r--mat/domace_naloge/20/dokument.tex150
-rw-r--r--mat/domace_naloge/20/dokument.toc2
-rw-r--r--mat/domace_naloge/20/stderr.log2
-rw-r--r--mat/domace_naloge/20/stdout.log203
8 files changed, 345 insertions, 153 deletions
diff --git a/mat/domace_naloge/20/dokument.aux b/mat/domace_naloge/20/dokument.aux
index 3a80296..2bf999a 100644
--- a/mat/domace_naloge/20/dokument.aux
+++ b/mat/domace_naloge/20/dokument.aux
@@ -27,7 +27,7 @@
\babel@aux{slovene}{}
\babel@aux{slovene}{}
\@writefile{toc}{\contentsline {section}{\numberline {1}Vaje \textit {Matematika 2}: stran 50, dve sodi in dve lihi nalogi 317-336}{1}{section.1}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {2}Zaključek}{1}{section.2}\protected@file@percent }
\exsheets@sum@of@points {0}
\exsheets@sum@of@bonus {0}
\gdef \numberofquestions {0}
+\@writefile{toc}{\contentsline {section}{\numberline {2}Zaključek}{2}{section.2}\protected@file@percent }
diff --git a/mat/domace_naloge/20/dokument.log b/mat/domace_naloge/20/dokument.log
index 87a219e..4e113df 100644
--- a/mat/domace_naloge/20/dokument.log
+++ b/mat/domace_naloge/20/dokument.log
@@ -1,4 +1,4 @@
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+This is pdfTeX, Version 3.14159265-2.6-1.40.20 (TeX Live 2019/Debian) (preloaded format=pdflatex 2020.11.12) 13 DEC 2020 16:14
entering extended mode
\write18 enabled.
%&-line parsing enabled.
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\openout6 = `dokument.toc'.
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+
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+command, so I can't give any explicit help.
+Pretend that you're Hercule Poirot: Examine all clues,
+and deduce the truth by order and method.
-Package tasks Warning: The width of `label-width' is too small on line 157.
-(tasks) Please set it at least to 14.05548pt.
+! Package PGF Math Error: Unknown function `T' (in 'T').
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+Type H <return> for immediate help.
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+
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+
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- []
+See the PGF Math package documentation for explanation.
+Type H <return> for immediate help.
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- []
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+See the PGF Math package documentation for explanation.
+Type H <return> for immediate help.
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+See the pgf package documentation for explanation.
+Type H <return> for immediate help.
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Package hyperref Warning: Composite letter `\textasciicaron+c'
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\OT1/cmtt/m/n/10 pdf$[] \OT1/cmr/m/n/10 in/ali []$\OT1/cmtt/m/n/10 https : / /
git . sijanec . eu / sijanec / sola-[]gimb-[]2 / raw / branch / master / mat /
domace _ naloge / 20 / dokument .
[]
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Package rerunfilecheck Info: File `dokument.out' has not changed.
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diff --git a/mat/domace_naloge/20/dokument.pdf b/mat/domace_naloge/20/dokument.pdf
index 7a18ddd..5d1ba94 100644
--- a/mat/domace_naloge/20/dokument.pdf
+++ b/mat/domace_naloge/20/dokument.pdf
Binary files differ
diff --git a/mat/domace_naloge/20/dokument.synctex.gz b/mat/domace_naloge/20/dokument.synctex.gz
index ee5c8ce..546f325 100644
--- a/mat/domace_naloge/20/dokument.synctex.gz
+++ b/mat/domace_naloge/20/dokument.synctex.gz
Binary files differ
diff --git a/mat/domace_naloge/20/dokument.tex b/mat/domace_naloge/20/dokument.tex
index bf0f096..ee74c49 100644
--- a/mat/domace_naloge/20/dokument.tex
+++ b/mat/domace_naloge/20/dokument.tex
@@ -134,39 +134,137 @@ Ta dokument vsebuje domačo nalogo, ki zajema snov \textit{\snovdn}pri matematik
\tableofcontents
\section{Vaje \textit{Matematika 2}: stran 50, dve sodi in dve lihi nalogi 317-336}
\begin{enumerate}[label=\textbf{\arabic*.}] % 318, 329, 320, 325
- \setcounter{enumi}{317}
- \item Nariši vektor $\vektor{a}$, dolg \cm{3}. Nariši še vektorje:
- \footnote{Za sezname ne uporabljam več \texttt{enumerate}, ampak \texttt{tasks} (Deutsche Kvalität)}
- \begin{primerTasks}(8)
- \task $\displaystyle\frac{1}{3}\vektor{a}$ % a
- \task $\displaystyle\frac{4}{5}\vektor{a}$ % b
- \task $\displaystyle-\frac{3}{7}\vektor{a}$ % c
- \task $\displaystyle-\frac{3}{4}\vektor{a}$ % č
- \task $\displaystyle\frac{5}{4}\vektor{a}$ % d
- \task $\displaystyle\frac{7}{5}\vektor{a}$ % e
- \task $\displaystyle-\frac{3}{2}\vektor{a}$ % f
- \task $\displaystyle-\frac{8}{5}\vektor{a}$ % g
- \task $\displaystyle\sqrt{2}\vektor{a}$ % h
- \task $\displaystyle\sqrt{5}\vektor{a}$ % i
- \task $\displaystyle-\sqrt{7}\vektor{a}$ % j
- \task $\displaystyle-\sqrt{10}\vektor{a}$ % k
- \task $\displaystyle\frac{\sqrt{3}}{4}\vektor{a}$ % l
- \task $\displaystyle\frac{\sqrt{6}}{7}\vektor{a}$ % m
- \task $\displaystyle-\frac{\sqrt{12}}{3}\vektor{a}$ % n
- \task $\displaystyle-\frac{\sqrt{15}}{8}\vektor{a}$ % o
- \end{primerTasks}
+ \if\false1
+ \setcounter{enumi}{317}
+ \item Nariši vektor $\vektor{a}$, dolg \cm{3}. Nariši še vektorje:
+ \footnote{Za sezname ne uporabljam več \texttt{enumerate}, ampak \texttt{tasks} (Deutsche Kvalität)}
+ \begin{primerTasks}(8)
+ \task $\displaystyle\frac{1}{3}\Vec{a}$ % a
+ \task $\displaystyle\frac{4}{5}\Vec{a}$ % b
+ \task $\displaystyle-\frac{3}{7}\Vec{a}$ % c
+ \task $\displaystyle-\frac{3}{4}\Vec{a}$ % č
+ \task $\displaystyle\frac{5}{4}\Vec{a}$ % d
+ \task $\displaystyle\frac{7}{5}\Vec{a}$ % e
+ \task $\displaystyle-\frac{3}{2}\Vec{a}$ % f
+ \task $\displaystyle-\frac{8}{5}\Vec{a}$ % g
+ \task $\displaystyle\sqrt{2}\Vec{a}$ % h
+ \task $\displaystyle\sqrt{5}\Vec{a}$ % i
+ \task $\displaystyle-\sqrt{7}\Vec{a}$ % j
+ \task $\displaystyle-\sqrt{10}\Vec{a}$ % k
+ \task $\displaystyle\frac{\sqrt{3}}{4}\Vec{a}$ % l
+ \task $\displaystyle\frac{\sqrt{6}}{7}\Vec{a}$ % m
+ \task $\displaystyle-\frac{\sqrt{12}}{3}\Vec{a}$ % n
+ \task $\displaystyle-\frac{\sqrt{15}}{8}\Vec{a}$ % o
+ \end{primerTasks}
+ \begin{center}
+ \begin{tikzpicture}[vect/.style={->,shorten >=3pt,>=latex'}]
+ % 0
+ \tkzDefPoint(0,0){A} \tkzDefPoint(3,0){B}
+ \tkzDrawPoints[red](A,B) \tkzDrawSegments[vect](A,B)
+ \tkzLabelLine[above](A,B){$\Vec{a}$}
+ % a
+ \tkzDefPoint(30:3){aA}
+ \tkzDrawLine(A,aA) \tkzDrawLine(aA,B)
+ \tkzDefPoint(1,0){a1} \tkzDefPoint(30:1){a2} \tkzDefPoint(30:2){a3}
+ \tkzDefPoint(2,0){a4}
+ \tkzCompass(A,a2) \tkzCompass(a2,a3) \tkzDrawLine(a3,a4)
+ \tkzDrawLine(a1,a2) \tkzDrawPoints[red](a1) \tkzDrawSegment[vect](A,a1)
+ \tkzLabelLine[below](A,a1){$\frac{1}{3}\Vec{a}$}
+ % b
+ \tkzDefPoint(30:(3/5)){b1} \tkzDefPoint(30:(3/5)*2){b2}
+ \tkzDefPoint(30:(3/5)*3){b3} \tkzDefPoint(30:(3/5)*4){b4}
+ \tkzCompass(A,b1) \tkzCompass(b1,b2) \tkzCompass(b2,b3)
+ \tkzCompass(b3,b4) \tkzCompass(b4,aA)
+ \tkzDefPoint((3/5)*4,0){b5} \tkzDrawLine(b4,b5) \tkzDrawPoints[red](b5)
+ \tkzDrawSegments[vect](A,b5)
+ \tkzLabelLine[below](A,b5){$\frac{4}{5}\Vec{a}$}
+ \end{tikzpicture}
+ \end{center}
+ \fi
+ \setcounter{enumi}{318}
+ \item Nariši trikotnik $ABC$ s podatki $a=\cm{4}$, $b=\cm{6}$, $c=\cm{7}$. Nariši še $\displaystyle\frac{1}{3}\vektor{AC}+\sqrt{2}\vektor{AB}$. % 319
\begin{center}
- \begin{tikzpicture}
- \tkzDefPoint(0,0){A} \tkzDefPoint(0,3){B}
- \tkzDrawPoints(A,B)
+ \begin{tikzpicture}[vect/.style={->,shorten >=3pt,>=latex'}]
+ \tkzDefPoint(0,0){A} \tkzDefPoint(7,0){B}
+ \tkzDefPoint(6,0){bh} \tkzDefPoint(7-4,0){ah}
+ \tkzDefPoint(0,6){3h} \tkzDefPoint(0,4){2h} \tkzDefPoint(0,2){1h}
+ \tkzCompass(A,B) \tkzDrawLine(A,B) % \tkzLabelLine[below](A,B){$c$}
+ \tkzInterCC(A,bh)(B,ah) \tkzGetPoints{C}{CX}
+ \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C)
+ \tkzLabelLine[below right](A,C){$\vektor{AC}$}
+ \tkzDrawLine(A,3h) \tkzCompass(A,1h) \tkzCompass(1h,2h)
+ \tkzCompass(2h,3h) \tkzDrawLine(3h,C)
+ \tkzDefPointWith[colinear=at 1h](3h,C) \tkzGetPoint{Z}
+ \tkzInterLL(A,C)(1h,Z) \tkzGetPoint{T}
+ \tkzLabelLine[above](A,T){$\frac{1}{3}\vektor{AC}$}
+ % sedaj pa sqrt(2)AB
+ \tkzDefPoint(0,7){P} \tkzCompass(A,P)
+ \tkzDefPoint(7,7){K} \tkzDrawLine(B,K) \tkzDrawLine(P,K)
+ \tkzInterLC(A,B)(A,K) \tkzGetPoints{K2X}{K2} \tkzCompass(A,K2)
+ \tkzLabelLine[below](A,K2){$\sqrt{2}\vektor{AB}$}
+ % sedaj pa seštevek
+ \tkzDefPointWith[colinear=at B](A,C) \tkzGetPoint{S}
+ \tkzLabelLine[above left](A,S){$\frac{1}{3}\vektor{AC}+\sqrt{AB}$}
+ \tkzDrawSegments[vect](A,C A,T, A,K A,K2)
+ \tkzDrawSegments[red, vect](A,S)
+ \tkzMarkRightAngles(A,P,K P,K,B K,B,A B,A,P)
+ \tkzDrawPoints[red](A,B,C,T,K,K2,S) \tkzLabelPoints(A,B,C)
\end{tikzpicture}
\end{center}
- \setcounter{enumi}{319}
+ \newpage
\item Nariši pravokotnik $ABCD$ s podatki: $a=\cm{6}$, $b=\cm{2}$. Nariši še $\displaystyle-\frac{3}{2}\vektor{AC}+\frac{\sqrt{2}}{2}\vektor{BC}$.
+ \begin{center}
+ \begin{tikzpicture}[vect/.style={->,shorten >=3pt,>=latex'}]
+ \tkzDefPoint(0,0){A} \tkzDefPoint(6,2){C} \tkzDefPoint(6,0){B}
+ \tkzDefPoint(0,2){D}
+ \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D)
+ \tkzDefPoint(0,(2/3)){a1} \tkzDefPoint(0,(2/3)*2){a2}
+ \tkzCompass(A,a1) \tkzCompass(a1,a2) \tkzCompass(a2,D)
+ \tkzDefPointWith[colinear=at a1](D,C) \tkzGetPoint{Z}
+ \tkzInterLL(A,C)(a1,Z) \tkzGetPoint{V}
+ \tkzDrawLine(a1,V) \tkzLabelLine[above left](A,C){$\vektor{AC}$}
+ \tkzLabelLine[below](V,C){$-\frac{2}{3}\vektor{AC}$}
+ % zdaj pa še koren iz dve polovic vektorja BC
+ \tkzDefPoint(6-2,0){K} \tkzDefPoint(6-2,2){P}
+ \tkzCompass(B,K) \tkzCompass(C,P)
+ \tkzInterLC(C,B)(C,K) \tkzGetPoints{K2X}{K2}
+ \tkzDefMidPoint(C,K2) \tkzGetPoint{K22}
+ \tkzLabelLine[left](C,K22){$\frac{\sqrt{2}}{2}\vektor{CB}$}
+ \tkzDefPointWith[colinear=at K22](C,V) \tkzGetPoint{S}
+ \tkzDrawPoints[red](A,B,C,D,V,K2,K22,S) \tkzLabelPoints[](A,B,C,D)
+ \tkzDrawSegments[vect](A,C C,V C,K2 C,K22)
+ \tkzDrawSegments[vect, red](C,S)
+ \tkzMarkRightAngles(C,P,K P,K,B K,B,C B,C,P)
+ \end{tikzpicture}
+ \end{center}
\setcounter{enumi}{324}
- \item Naj bo $\vektor{m}=2\vektor{a}+3\vektor{b}$ in $\vektor{n}=\vektor{a}-2\vektor{b}$. Izrazi vektor $2\vektor{m}-\frac{1}{2}\vektor{n}$ z vektorjema $\vektor{a}$ in $\vektor{b}$.
+ \item Naj bo $\Vec{m}=2\Vec{a}+3\Vec{b}$ in $\Vec{n}=\Vec{a}-2\Vec{b}$. Izrazi vektor $2\Vec{m}-\frac{1}{2}\Vec{n}$ z vektorjema $\Vec{a}$ in $\Vec{b}$.
+ $$
+ 2\Vec{a}+3\Vec{b}-(\frac{1}{2}(\Vec{a}-2\Vec{b})) =
+ 2\Vec{a} + 3\Vec{b} - \frac{1}{2}\Vec{a} + \frac{1}{2} \cdot 2\Vec{b} =
+ 1\frac{1}{2}\Vec{a}+4\Vec{b}
+ $$
\setcounter{enumi}{328}
\item Nariši daljico $AB$, dolgo \cm{6}. Na njen nariši tako točno $M$, da velja $|AM|:|MB|=1:2$, in tako točno $N$, da velja $|AN|:|AB|=1:2$. Vektorja $\vektor{AM}$ in $\vektor{AN}$ izrazi z vektorjem $\vektor{AB}$.
+ \begin{center}
+ \begin{tikzpicture}[vect/.style={->,shorten >=3pt,>=latex'}]
+ \tkzDefPoint(0,0){A} \tkzDefPoint(6,0){B}
+ \tkzCompass(A,B) \tkzDrawLine(A,B) % \tkzLabelLine[below](A,B){$AB$}
+ \tkzDefPoint(30:6){3h} \tkzDefPoint(30:4){2h} \tkzDefPoint(30:2){1h}
+ \tkzDrawLine(A,3h) \tkzDrawLine(3h,B)
+ \tkzCompass(A,1h) \tkzCompass(1h,2h) \tkzCompass(2h,3h)
+ \tkzDefPoint((6/3)*1,0){M} \tkzDrawLine(h1,M)
+ \tkzDefMidPoint(A,B) \tkzGetPoint{N}
+ \tkzDrawPoints[red](A,B,M,N) \tkzLabelPoints[below left](A,B,M,N)
+ \tkzDrawSegments[vect](A,M A,N)
+ \end{tikzpicture}
+ \end{center}
+ $$
+ \vektor{AM} = \frac{1}{3}\vektor{AB}
+ $$
+ $$
+ \vektor{AN} = \frac{1}{2}\vektor{AB}
+ $$
\end{enumerate}
diff --git a/mat/domace_naloge/20/dokument.toc b/mat/domace_naloge/20/dokument.toc
index 37ec10b..58c131a 100644
--- a/mat/domace_naloge/20/dokument.toc
+++ b/mat/domace_naloge/20/dokument.toc
@@ -1,4 +1,4 @@
\babel@toc {slovene}{}
\babel@toc {slovene}{}
\contentsline {section}{\numberline {1}Vaje \textit {Matematika 2}: stran 50, dve sodi in dve lihi nalogi 317-336}{1}{section.1}%
-\contentsline {section}{\numberline {2}Zaključek}{1}{section.2}%
+\contentsline {section}{\numberline {2}Zaključek}{2}{section.2}%
diff --git a/mat/domace_naloge/20/stderr.log b/mat/domace_naloge/20/stderr.log
index 09bb3f0..feb56f3 100644
--- a/mat/domace_naloge/20/stderr.log
+++ b/mat/domace_naloge/20/stderr.log
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diff --git a/mat/domace_naloge/20/stdout.log b/mat/domace_naloge/20/stdout.log
index ba30731..ed1fc7d 100644
--- a/mat/domace_naloge/20/stdout.log
+++ b/mat/domace_naloge/20/stdout.log
@@ -476,39 +476,84 @@ your preamble.
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(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd)
(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) (./dokument.toc)
+! Undefined control sequence.
+l.137 \if\false
+ 1
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-(tasks) 157. However, option `counter-format' is deprecated.
-(tasks) Please use option `label' instead. Refer to the manual
-(tasks) for details.
+! Package PGF Math Error: Unknown function `T' (in 'T').
+See the PGF Math package documentation for explanation.
+Type H <return> for immediate help.
+ ...
+
+l.208 ...\tkzDrawSegments[vect](A,C A,T, A,K A,K2)
+
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-|$\OMS/cmsy/m/n/10 ^^@[][]$|
+! Package PGF Math Error: Unknown function `T' (in 'T').
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-(tasks) Please set it at least to 14.05548pt.
+See the PGF Math package documentation for explanation.
+Type H <return> for immediate help.
+ ...
+
+l.208 ...\tkzDrawSegments[vect](A,C A,T, A,K A,K2)
+
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-\OT1/cmr/bx/n/10 m)
+See the PGF Math package documentation for explanation.
+Type H <return> for immediate help.
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+
+l.208 ...\tkzDrawSegments[vect](A,C A,T, A,K A,K2)
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+See the PGF Math package documentation for explanation.
+Type H <return> for immediate help.
+ ...
+
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+See the pgf package documentation for explanation.
+Type H <return> for immediate help.
+ ...
+
+l.256 ...DefPoint((6/3)*1,0){M} \tkzDrawLine(h1,M)
+
+
+! Package pgf Error: No shape named `h1' is known.
+
+See the pgf package documentation for explanation.
+Type H <return> for immediate help.
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+l.256 ...DefPoint((6/3)*1,0){M} \tkzDrawLine(h1,M)
+
+
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+See the pgf package documentation for explanation.
+Type H <return> for immediate help.
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+
Package hyperref Warning: Composite letter `\textasciicaron+c'
(hyperref) not defined in PD1 encoding,
-(hyperref) removing `\textasciicaron' on input line 173.
+(hyperref) removing `\textasciicaron' on input line 271.
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+Overfull \hbox (16.93909pt too wide) in paragraph at lines 272--277
\OT1/cmtt/m/n/10 pdf$[] \OT1/cmr/m/n/10 in/ali []$\OT1/cmtt/m/n/10 https : / /
git . sijanec . eu / sijanec / sola-[]gimb-[]2 / raw / branch / master / mat /
domace _ naloge / 20 / dokument .
-[1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] (./dokument.aux) )
+[2] (./dokument.aux) )
(see the transcript file for additional information)</usr/share/texlive/texmf-d
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nts/type1/public/amsfonts/cm/cmbx12.pfb></usr/share/texlive/texmf-dist/fonts/ty
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-Output written on dokument.pdf (2 pages, 189212 bytes).
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+Output written on dokument.pdf (2 pages, 197099 bytes).
SyncTeX written on dokument.synctex.gz.
Transcript written on dokument.log.
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generated by cgit v1.2.3 (git 2.25.1) at 2024-11-21 15:44:36 +0100