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-rw-r--r--mat/advent/4/Makefile3
-rwxr-xr-xmat/advent/4/a.outbin0 -> 8432 bytes
-rwxr-xr-xmat/advent/4/n1bin0 -> 8432 bytes
-rw-r--r--mat/advent/4/n1.c22
-rw-r--r--mat/advent/4/prog.c16
-rw-r--r--mat/advent/5/Makefile2
-rw-r--r--mat/advent/5/advent5.ggbbin0 -> 18797 bytes
-rwxr-xr-xmat/advent/5/n1bin0 -> 8344 bytes
-rw-r--r--mat/advent/5/n1.c12
-rw-r--r--mat/advent/6/Makefile3
-rwxr-xr-xmat/advent/6/a.outbin0 -> 8344 bytes
-rwxr-xr-xmat/advent/6/n1bin0 -> 8344 bytes
-rw-r--r--mat/advent/6/n1.c14
-rw-r--r--mat/advent/6/prog.c13
-rw-r--r--mat/domace_naloge/20/dokument.aux33
-rw-r--r--mat/domace_naloge/20/dokument.dvibin0 -> 25956 bytes
-rw-r--r--mat/domace_naloge/20/dokument.log1826
-rw-r--r--mat/domace_naloge/20/dokument.out2
-rw-r--r--mat/domace_naloge/20/dokument.pdfbin0 -> 73421 bytes
-rw-r--r--mat/domace_naloge/20/dokument.synctex.gzbin0 -> 20900 bytes
-rw-r--r--mat/domace_naloge/20/dokument.tex289
-rw-r--r--mat/domace_naloge/20/dokument.toc4
-rw-r--r--mat/domace_naloge/20/stderr.log1
-rw-r--r--mat/domace_naloge/20/stdout.log802
-rw-r--r--mat/euler/15/NEDOKONCAN0
-rw-r--r--mat/euler/16/Makefile2
-rwxr-xr-xmat/euler/16/a.outbin0 -> 8600 bytes
-rw-r--r--mat/euler/16/mnozi.c31
-rw-r--r--mat/euler/16/prog.c30
-rw-r--r--mat/euler/17/Makefile4
-rwxr-xr-xmat/euler/17/a.outbin0 -> 13192 bytes
-rw-r--r--mat/euler/17/angnum.c148
-rw-r--r--mat/euler/17/prog.c28
33 files changed, 3285 insertions, 0 deletions
diff --git a/mat/advent/4/Makefile b/mat/advent/4/Makefile
new file mode 100644
index 0000000..cb76e0f
--- /dev/null
+++ b/mat/advent/4/Makefile
@@ -0,0 +1,3 @@
+default:
+ gcc prog.c -pedantic
+ gcc n1.c -pedantic -o n1
diff --git a/mat/advent/4/a.out b/mat/advent/4/a.out
new file mode 100755
index 0000000..c1c724c
--- /dev/null
+++ b/mat/advent/4/a.out
Binary files differ
diff --git a/mat/advent/4/n1 b/mat/advent/4/n1
new file mode 100755
index 0000000..9d59953
--- /dev/null
+++ b/mat/advent/4/n1
Binary files differ
diff --git a/mat/advent/4/n1.c b/mat/advent/4/n1.c
new file mode 100644
index 0000000..157d60d
--- /dev/null
+++ b/mat/advent/4/n1.c
@@ -0,0 +1,22 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+int main (int argc, char ** argv) {
+ if (argc != 1+2) {
+ fprintf(stderr, "uporaba: %s <število> <število>\nprimer-število deliteljev 3019, ki niso delitelji 2020: %s 3019 2020\n", argv[0], argv[0]);
+ return 1;
+ }
+ unsigned long int n = strtol(argv[1], NULL, 10);
+ unsigned long int o = strtol(argv[2], NULL, 10);
+ unsigned long int i = 0;
+ unsigned long int s = 0;
+ unsigned long int d = 0;
+ for (i = 1; i <= n; i++)
+ if (n % i == 0) {
+ d++;
+ if (o % i != 0)
+ s++;
+ }
+ fprintf(stdout, "števil, ki delijo %lu (=%lu), ne pa %lu, je %lu\n", n,d,o,s);
+ return 0;
+}
diff --git a/mat/advent/4/prog.c b/mat/advent/4/prog.c
new file mode 100644
index 0000000..a50524f
--- /dev/null
+++ b/mat/advent/4/prog.c
@@ -0,0 +1,16 @@
+#include <stdio.h>
+#include <stdlib.h>
+int main (int argc, char ** argv) {
+ if (argc != 1+1) {
+ fprintf(stderr, "uporaba: %s <dolzina stranice kvadratne mreze>\nprimer za šahovnico: %s 8\n", argv[0], argv[0]);
+ return 1;
+ }
+ unsigned long int n = strtol(argv[1], NULL, 10);
+ unsigned long int x = 1;
+ unsigned long int y = 1;
+ unsigned long int s = 0;
+ for (x = 1; x <= n; x++)
+ for (y = 1; y <= n; y++)
+ s = s + x * y;
+ fprintf(stdout, "seštevek možnih pravokotnikov v mreži %lux%lu je %lu\n", n, n, s);
+}
diff --git a/mat/advent/5/Makefile b/mat/advent/5/Makefile
new file mode 100644
index 0000000..34bc506
--- /dev/null
+++ b/mat/advent/5/Makefile
@@ -0,0 +1,2 @@
+default:
+ gcc n1.c -pedantic -o n1
diff --git a/mat/advent/5/advent5.ggb b/mat/advent/5/advent5.ggb
new file mode 100644
index 0000000..709a1e3
--- /dev/null
+++ b/mat/advent/5/advent5.ggb
Binary files differ
diff --git a/mat/advent/5/n1 b/mat/advent/5/n1
new file mode 100755
index 0000000..ae9cfe7
--- /dev/null
+++ b/mat/advent/5/n1
Binary files differ
diff --git a/mat/advent/5/n1.c b/mat/advent/5/n1.c
new file mode 100644
index 0000000..2d3c38f
--- /dev/null
+++ b/mat/advent/5/n1.c
@@ -0,0 +1,12 @@
+#include <stdio.h>
+#define ce if
+#define stevilka int
+#define niz char **
+#define glavna main
+#define za for
+stevilka glavna (stevilka argc, niz argv) {
+ za (stevilka i = 10; i <= 99; i++) {
+ ce (i*10+2 == (2*100+i) + 72)
+ fprintf(stderr, "našel številko %d2\n", i);
+ }
+}
diff --git a/mat/advent/6/Makefile b/mat/advent/6/Makefile
new file mode 100644
index 0000000..1e287d6
--- /dev/null
+++ b/mat/advent/6/Makefile
@@ -0,0 +1,3 @@
+default:
+ gcc -pedantic prog.c
+ gcc -pedantic n1.c -on1
diff --git a/mat/advent/6/a.out b/mat/advent/6/a.out
new file mode 100755
index 0000000..2b0aca5
--- /dev/null
+++ b/mat/advent/6/a.out
Binary files differ
diff --git a/mat/advent/6/n1 b/mat/advent/6/n1
new file mode 100755
index 0000000..1ca7db2
--- /dev/null
+++ b/mat/advent/6/n1
Binary files differ
diff --git a/mat/advent/6/n1.c b/mat/advent/6/n1.c
new file mode 100644
index 0000000..4f4a5a2
--- /dev/null
+++ b/mat/advent/6/n1.c
@@ -0,0 +1,14 @@
+#include <stdio.h>
+#include <stdlib.h>
+int main (int argc, char ** argv) {
+ unsigned int s = 1; /* seštevek */
+ unsigned int i = 0; /* indeks */
+ while (1) {
+ i++;
+ s = s*3;
+ if (s > 2020)
+ break;
+ }
+ fprintf(stdout, "H_%u ima ploščino, enako %u-kratniku ploščine H_0.\n", i, s);
+ return 0;
+}
diff --git a/mat/advent/6/prog.c b/mat/advent/6/prog.c
new file mode 100644
index 0000000..14eb68a
--- /dev/null
+++ b/mat/advent/6/prog.c
@@ -0,0 +1,13 @@
+#include <stdio.h>
+#include <stdlib.h>
+int main (int argc, char ** argv) {
+ double x;
+ size_t s = 0;
+ for (double a = 1; a <= 2020; a++) {
+ x = ((float)7/(float)5)*(float)a;
+ if (x == (int)x)
+ s++;
+ }
+ fprintf(stderr, "%lu\n", s);
+ return 0;
+}
diff --git a/mat/domace_naloge/20/dokument.aux b/mat/domace_naloge/20/dokument.aux
new file mode 100644
index 0000000..2bf999a
--- /dev/null
+++ b/mat/domace_naloge/20/dokument.aux
@@ -0,0 +1,33 @@
+\relax
+\providecommand\hyper@newdestlabel[2]{}
+\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
+\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
+\global\let\oldcontentsline\contentsline
+\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
+\global\let\oldnewlabel\newlabel
+\gdef\newlabel#1#2{\newlabelxx{#1}#2}
+\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
+\AtEndDocument{\ifx\hyper@anchor\@undefined
+\let\contentsline\oldcontentsline
+\let\newlabel\oldnewlabel
+\fi}
+\fi}
+\global\let\hyper@last\relax
+\gdef\HyperFirstAtBeginDocument#1{#1}
+\providecommand\HyField@AuxAddToFields[1]{}
+\providecommand\HyField@AuxAddToCoFields[2]{}
+\@nameuse{bbl@beforestart}
+\catcode `"\active
+\providecommand \exsheets@question@property [3]{}
+\providecommand \exsheets@save@number [2]{}
+\providecommand \exsheets@sum@of@points [1]{}
+\providecommand \exsheets@sum@of@bonus [1]{}
+\providecommand \exsheets@used@id [2]{}
+
+\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 }
+\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.dvi b/mat/domace_naloge/20/dokument.dvi
new file mode 100644
index 0000000..0d2671a
--- /dev/null
+++ b/mat/domace_naloge/20/dokument.dvi
Binary files differ
diff --git a/mat/domace_naloge/20/dokument.log b/mat/domace_naloge/20/dokument.log
new file mode 100644
index 0000000..b7b1736
--- /dev/null
+++ b/mat/domace_naloge/20/dokument.log
@@ -0,0 +1,1826 @@
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diff --git a/mat/domace_naloge/20/dokument.out b/mat/domace_naloge/20/dokument.out
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+\BOOKMARK [1][-]{section.1}{Vaje Matematika 2: stran 50, dve sodi in dve lihi nalogi 317-336}{}% 1
+\BOOKMARK [1][-]{section.2}{Zakljucek}{}% 2
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diff --git a/mat/domace_naloge/20/dokument.tex b/mat/domace_naloge/20/dokument.tex
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--- /dev/null
+++ b/mat/domace_naloge/20/dokument.tex
@@ -0,0 +1,289 @@
+% !TeX encoding = UTF-8
+% !TeX spellcheck = sl_SI
+% do-vimlatex-onwrite
+\documentclass[]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{etoolbox}
+\usepackage[hidelinks]{hyperref}
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{graphicx}
+\usepackage{hologo}
+\usepackage{amssymb}
+\usepackage{calculator}
+\usepackage{pgfplots}
+\usepackage[inline]{enumitem}
+\usepackage{siunitx}
+\usepackage{multicol}
+\usepackage{tabularcalc}
+\usepackage{amsmath}
+\usepackage{float}
+\usepackage{tasks}
+\usepackage{filecontents}
+\usepackage{textcomp}
+\usepackage{tkz-euclide}
+\usepackage{dirtytalk}
+\usepackage{csquotes}
+\usepackage{listings}
+\usepackage{datetime} % [ddMMyyyy]
+\usepackage{ccicons}
+\usepackage{chemformula}
+\usepackage{gensymb}
+\usepackage[normalem]{ulem}
+\usepackage[slovene]{babel}
+\usepackage{cancel}
+\usepackage{tabularx}
+\usepackage{xcolor}
+\usepackage{colortbl}
+\usepackage{exsheets}
+\usepackage{harpoon}
+\newcolumntype{Y}{>{\centering\arraybackslash}X}
+% \usepackage{multienum} % weird with labels
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
+%\tikzexternalize
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol
+\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
+\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development
+\newcommand{\razhroscevanje}{1}
+\definecolor{codegreen}{rgb}{0,0.6,0}
+\definecolor{codered}{rgb}{1,0,0}
+\definecolor{codegray}{rgb}{0.5,0.5,0.5}
+\definecolor{codepurple}{rgb}{0.58,0,0.82}
+\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
+\renewcommand{\dateseparator}{. }
+\settimeformat{hhmmsstime}
+\lstdefinestyle{mystyle}{
+ backgroundcolor=\color{backcolour},
+ commentstyle=\color{codegreen},
+ keywordstyle=\color{magenta},
+ numberstyle=\tiny\color{codegray},
+ stringstyle=\color{codepurple},
+ basicstyle=\ttfamily\footnotesize,
+ breakatwhitespace=false,
+ breaklines=true,
+ captionpos=b,
+ keepspaces=true,
+ numbers=left,
+ numbersep=5pt,
+ showspaces=false,
+ showstringspaces=false,
+ showtabs=false,
+ tabsize=2
+}
+\lstset{style=mystyle}
+\def\@maketitle{%
+ \newpage
+ \null
+ \vskip 2em%
+ \begin{center}%
+ \let \footnote \thanks
+ {\LARGE \@title \par}%
+ \vskip 1.5em%
+ {\large
+ \lineskip .5em%
+ \begin{tabular}[t]{c}% <------
+ \@author% <------ Authors
+ \end{tabular}\par}% <------
+ \vskip 1em%
+ {\large \@date}%
+ \end{center}%
+ \par
+ \vskip 1.5em}
+%opening
+\newcommand{\snovdn}{Množenje vektorja s številom }
+\newcommand{\predmdn}{mat}
+\newcommand{\predmkaj}{domace\_naloge}
+\newcommand{\stevilkadn}{20}
+\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
+\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}}
+\makeatletter
+\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname}
+\newcommand{\@xslalph}[1]{%
+ \ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i%
+ \or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}%
+ \or t\or u\or v\or z\or \v{z}
+ \else\@ctrerr\fi%
+}
+\AddEnumerateCounter{\xslalph}{\@xslalph}{m}
+\makeatother
+\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma
+\newcommand*\textfrac[2]{
+ \frac{\text{#1}}{\text{#2}}
+}
+\NewTasks[counter-format=\xslalph*),label-format=\bfseries]{primerTasks}(3)
+\newcommand\vektor{\overrightarrow}
+\newcommand{\iic}{I\textsuperscript{2}C }
+\title{%
+ \snovdn --- \stevilkadn. domača naloga
+ \\
+ \large Matematika, Gimnazija Bežigrad}
+\author{\begin{tabular}{rl}
+ \textbf{Profesor:} & prof. Vilko Domajnko\\
+ \textbf{Avtor:} & Anton Luka Šijanec, 2. a
+% \textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3
+\end{tabular}}
+\newcommand\hcancel[2][black]{\setbox0=\hbox{$#2$}%
+\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2}
+% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
+\begin{document}
+\maketitle
+\begin{abstract}
+Ta dokument vsebuje domačo nalogo, ki zajema snov \textit{\snovdn}pri matematiki, in njene rešitve, ki sem jih spisal sam. Kjer je bilo potrebno izbrati neke poljubne naloge, sem jih vedno izbral naključno.
+\end{abstract}
+\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
+ \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}[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}
+ \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 $\Vec{m}=2\Vec{a}+3\Vec{b}$ 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}
+
+
+\section{Zaključek}
+Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
+\hologo{LaTeX}\footnote{Za izdelavo dokumenta potrebujete \texttt{TeXLive 2020}.}
+izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo v mojem šolskem Git repozitoriju na
+\url{https://git.sijanec.eu/sijanec/sola-gimb-2} v mapi
+\href{https://git.sijanec/sola-gimb-2/src/branch/master/\predmdn/\predmkaj/\stevilkadn/}{/\predmdn/\predmkaj/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/\predmkaj/\stevilkadn/dokument.pdf} in/ali \url{https://git.sijanec.eu/sijanec/sola-gimb-2/raw/branch/master/\predmdn/\predmkaj/\stevilkadn/dokument.pdf}.
+
+\if\razhroscevanje1
+\section*{Razhroščevalne informacije}
+Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta.
+
+Grafi imajo natančnost \functionSamples\space točk na graf.
+
+Konec generiranja dokumenta: \today\ ob \currenttime\footnote{To ne nakazuje dejanskega časa, ko je bil dokument napisan, temveč čas, ko je bi dokument generiran v PDF/DVI obliko. Isto velja za datum v glavi dokumenta. Če berete direktno iz LaTeX datoteke, bo to vedno današnji datum.}%\input|"date -Ins"
+
+Dokument se je generiral R0qK1KR2 \SI{}{\second}.
+\fi
+% \item $$$$ aaasecgeninsaaa R0qK1KR2
+\end{document}
diff --git a/mat/domace_naloge/20/dokument.toc b/mat/domace_naloge/20/dokument.toc
new file mode 100644
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--- /dev/null
+++ b/mat/domace_naloge/20/dokument.toc
@@ -0,0 +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}{2}{section.2}%
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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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diff --git a/mat/euler/15/NEDOKONCAN b/mat/euler/15/NEDOKONCAN
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/mat/euler/15/NEDOKONCAN
diff --git a/mat/euler/16/Makefile b/mat/euler/16/Makefile
new file mode 100644
index 0000000..8278251
--- /dev/null
+++ b/mat/euler/16/Makefile
@@ -0,0 +1,2 @@
+default:
+ gcc prog.c -pedantic -I.
diff --git a/mat/euler/16/a.out b/mat/euler/16/a.out
new file mode 100755
index 0000000..25772a9
--- /dev/null
+++ b/mat/euler/16/a.out
Binary files differ
diff --git a/mat/euler/16/mnozi.c b/mat/euler/16/mnozi.c
new file mode 100644
index 0000000..f90cdbd
--- /dev/null
+++ b/mat/euler/16/mnozi.c
@@ -0,0 +1,31 @@
+#pragma once
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+int mnozi (unsigned long long int mnozi_s_tem, char * d, long int b) {
+ unsigned long long int carry = 0; // carry je pri množenju vedno pozitiven
+ unsigned long long int to = 0;
+ unsigned long long int za_napisati = 0;
+ for (b = b-1; b >= 0; b--) {
+ to = d[b] - '0';
+ za_napisati = to * mnozi_s_tem;
+ za_napisati = za_napisati + carry;
+ carry = 0;
+ if (za_napisati > 9) {
+ za_napisati = za_napisati - 10;
+ carry++;
+ }
+ d[b] = za_napisati + '0';
+ }
+ return 0;
+}
+#ifndef DISABLE_LIB_TESTS
+int main (int argc, char ** argv) {
+ unsigned long long int m = 2;
+ char d[] = "0000000000000000000000000000000000000000000000000000456";
+ int b = strlen(d);
+ mnozi(m, d, b);
+ fprintf(stdout, "test: %s\n", d);
+ return 0;
+}
+#endif
diff --git a/mat/euler/16/prog.c b/mat/euler/16/prog.c
new file mode 100644
index 0000000..5a2d7f3
--- /dev/null
+++ b/mat/euler/16/prog.c
@@ -0,0 +1,30 @@
+#include <stdio.h>
+#include <stdlib.h>
+#define DISABLE_LIB_TESTS
+#include <mnozi.c>
+#define MAX_SIRINA 80*(24-3) /* zapolnimo malo teminalsko okno */
+#define MAX_SIRINA_S "1680" /* = 80 * 21; nastavi tudi to za format stavek */
+int main (int argc, char ** argv) {
+ if (argc != 1+2) {
+ fprintf(stderr, "uporaba: %s <Številka> (^) <Številka>\nprimer za izračun 2^1000: %s 2 1000\n", argv[0], argv[0]);
+ return 1;
+ }
+ unsigned long long int n = strtoull(argv[1], NULL, 10);
+ unsigned long long int m = strtoull(argv[2], NULL, 10);
+ if (m == 0) {
+ fprintf(stderr, "KARKOLI NA NIČ JE ENA! (reci to računalniku)\n");
+ return 2;
+ }
+ char * z = malloc(sizeof(char)*(MAX_SIRINA + 1)); // + 1 za \0
+ unsigned int l = MAX_SIRINA;
+ unsigned long long int s = 0; // Seštevek števk
+ sprintf(z, "%0" MAX_SIRINA_S "llu", n);
+ z[MAX_SIRINA] = '\0';
+ for (; m > 1; m--)
+ // fprintf(stderr, "\rpreostane še %llu operacij ...", m);
+ mnozi (n, z, l);
+ for (m = 0; m < MAX_SIRINA; m++) // sicer je m itak že 0 ampak okej
+ s = s + (z[m] - '0');
+ fprintf(stdout, "\rkonec računanja. seštevek števk v rezultatu je %llu, število je\n%s\n", s, z);
+ return 0;
+}
diff --git a/mat/euler/17/Makefile b/mat/euler/17/Makefile
new file mode 100644
index 0000000..dff62a0
--- /dev/null
+++ b/mat/euler/17/Makefile
@@ -0,0 +1,4 @@
+default:
+ gcc -I. prog.c -pedantic -lm
+libtest:
+ gcc -I. angnum.c -pedantic -lm
diff --git a/mat/euler/17/a.out b/mat/euler/17/a.out
new file mode 100755
index 0000000..e83fc19
--- /dev/null
+++ b/mat/euler/17/a.out
Binary files differ
diff --git a/mat/euler/17/angnum.c b/mat/euler/17/angnum.c
new file mode 100644
index 0000000..2f16d75
--- /dev/null
+++ b/mat/euler/17/angnum.c
@@ -0,0 +1,148 @@
+#pragma once
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+/* definiramo jezik - ZAČETEK */
+#define J_0 "zero"
+#define J_1 "one"
+#define J_2 "two"
+#define J_3 "three"
+#define J_4 "four"
+#define J_5 "five"
+#define J_6 "six"
+#define J_7 "seven"
+#define J_8 "eight"
+#define J_9 "nine"
+#define J_10 "ten"
+#define J_11 "eleven"
+#define J_12 "twelve"
+#define J_13 "thirteen"
+#define J_14 "fourteen"
+#define J_15 "fifteen"
+#define J_16 "sixteen"
+#define J_17 "seventeen"
+#define J_18 "eighteen"
+#define J_19 "nineteen"
+#define J_20 "twenty"
+#define J_30 "thirty"
+#define J_40 "forty"
+#define J_50 "fifty"
+#define J_60 "sixty"
+#define J_70 "seventy"
+#define J_80 "eighty"
+#define J_90 "ninety"
+#define J_1h "hundred"
+#define J_1k "thousand"
+#define J_1M "million"
+#define J_1G "billion"
+#define J_1T "trillion"
+#define J_1P "quadrillion"
+#define J_1E "quintillion"
+#define J_1Z "sextillion"
+#define J_1Y "septillion"
+#define J_AND "and"
+#define J_NEG "negative"
+#define J_EMPTY ""
+/* definiramo jezik - KONEC */
+#define MX_NS_L 1337
+char * j_enice[] = { J_EMPTY, J_1, J_2, J_3, J_4, J_5, J_6, J_7, J_8, J_9, J_10, J_11, J_12, J_13, J_14, J_15, J_16, J_17, J_18, J_19, J_20 };
+char * j_power[] = { J_EMPTY, J_1k, J_1M, J_1G, J_1T, J_1P, J_1E, J_1Z, J_1Y };
+char * j_desetice[] = { J_EMPTY, J_10, J_20, J_30, J_40, J_50, J_60, J_70, J_80, J_90 };
+
+unsigned long long int na(unsigned long long int a, unsigned long long int b) {
+ unsigned long long int c = 1; /* jebeš math.h ke nima funkcije za intager */
+ for (; b > 0; b--) { /* potenciranje */
+ c = c * a;
+ }
+ return c;
+}
+
+/* private_angnum : size_t (število zapisanih bajtov, -1 ob propadu sveta)
+ * n: lluint: številka, ki naj jo zapišemo
+ * s: pointer to allocatanega spomina, kamor zapišemo string
+ * l: število bajtov allocatanega spomina za string, IZključno zadnjega '\0'
+ * alocirati morate vsaj en bajt več od l
+ * string bo mogoče avtomatsko null terminiran, vseeno ga raje dajte še sami
+ * UPORABLJAJTE RAJE angnum NAMESTO private_angnum */
+size_t private_angnum (unsigned long long int n, char * s, int l) {
+ unsigned int i = 0; // Index Iteracij
+ int z = 0; // Zapisanih
+ if (n <= 20) { // "thirteen", namesto 0 je prazen string
+ z = snprintf(s, l, "%s", j_enice[n]);
+ return z;
+ }
+ if (n <= 99) { // && n > 20 // "forty-one" ali "thirty"
+ z = snprintf(s, l, "%s", j_desetice[n / 10]); // intdiv je floor
+ if (z < l && n % 10 != 0) s[z++] = '-';
+ return z + (n % 10 != 0 ? snprintf(s+z, l-z, "%s", j_enice[n % 10]) : 0);
+ }
+ if (n <= 999) { // && n > 99
+ z = snprintf(s, l, "%s ", j_enice[n/100]); // "one "
+ z = z + snprintf(s+z, l-z, "%s", J_1h); // "hundred"
+ if (n % 100 != 0) {
+ if (z < l) s[z++] = ' ';
+ z = z + snprintf(s+z, l-z, "%s ", J_AND); // "and "
+ return z + private_angnum(n-(n/100)*100, s+z, l-z);
+ } else {
+ return z;
+ }
+ } // sedaj je n > 99 && n < 1e21
+ for (i = 3; i <= 21; i=i+3) // sedaj iščemo največjo tisočico
+ if (n / na(10, i) <= 999) // zadnja tisočica
+ break;
+ z = private_angnum((n/na(10, i)), s, l-z); // "three hundred forty-two"
+ z = z + snprintf(s+z, l-z, " %s", j_power[i/3]); // "million"
+ if (n-(n/na(i, 10)) > 0) {
+ if (z < l) s[z++] = ' ';
+ z = z + private_angnum(n-(n/na(10, i)*na(10, i)), s+z, l-z);
+ }
+ return z;
+}
+/*
+ * angnum(n, s, sizeof) : size_t napisanih bajtov, vključno z nul bajtom
+ * n je celo, ki ga je treba napisati. lahko je 0, negativno ali pozit..
+ * s je pointer do char, kamor naj se piše številka.
+ * sizeof je velikost alocatanega spomina za s, vključno z nul bajtom, naj bo>0.
+ * funkcija vrne število napisanih bajtov ali pa 0 v primeru napake.
+ * če je vrednost 0, je vsebina spomina od s do s+sizeof neopredeljena.
+ * število se zapiše v britanskem formatu, s pomišljajem in and.
+ * niz je končan z nul bajtom in pripravljen na tiskanje.
+ * četudi je string uspešno napisan, lahko funkcija odvrne 0, če se bliža
+ * omejitvi prostora sizeof. prav tako, četudi je dovolj prostora,
+ * lahko funkcija napiše napačno vrednost v s, če se bliža omejitvi, zato je
+ * nastavljen check, da funkcija odvrne 0, če je omejitev prostora 10+-2
+ * bajtov stran od napisanega.
+ * funkcija naj ne bi pisala preko omejitve sizeof.
+ * */
+size_t angnum (long long int n, char * s, int l) {
+ size_t z = 0;
+ size_t i = 0;
+ if (n == 0) {
+ z = snprintf(s, l, "%s", J_0);
+ return z;
+ }
+ if (n < 0) {
+ z = snprintf(s, l, "%s", J_NEG);
+ if (z < l) s[z++] = ' ';
+ z = z + private_angnum(abs(n), s+z, (l-z)-1);
+ } else {
+ z = z + private_angnum(n, s+z, (l-z)-1);
+ }
+ if (z < l) s[z++] = '\0';
+ if (l - z < 10)
+ return 0;
+ return z;
+}
+#ifndef DISABLE_LIB_TESTS
+int main (int argc, char ** argv) {
+ if (argc != 1+1) {
+ fprintf(stderr, "uporaba: %s <stevilka>\nprimer, ki napiše \"four hundred and twenty\": %s 420\n", argv[0], argv[0]);
+ return 1;
+ }
+ long long int n = strtoll(argv[1], NULL, 10);
+ char * s = malloc(sizeof(char)*MX_NS_L);
+ size_t r = angnum(n, s, MX_NS_L);
+ fprintf(stdout, "%s\n", s);
+ return r == 0 ? 2 : 0;
+}
+#endif
diff --git a/mat/euler/17/prog.c b/mat/euler/17/prog.c
new file mode 100644
index 0000000..afa005d
--- /dev/null
+++ b/mat/euler/17/prog.c
@@ -0,0 +1,28 @@
+#include <stdio.h>
+#include <stdlib.h>
+#define DISABLE_LIB_TESTS 1
+#include <angnum.c>
+int main (int argc, char ** argv) {
+ if (argc != 1+2) {
+ fprintf(stderr, "uporaba: %s <stevilka>\nprimer-sešteje črke v ang številih od 1 do 1000: %s 1 1000\n", argv[0], argv[0]);
+ return 1;
+ }
+ long long int a = strtoll(argv[1], NULL, 10);
+ long long int b = strtoll(argv[2], NULL, 10);
+ unsigned long long int i = 0; // lenasI
+ long long int j = 0; // Janez je podpisan, da se po 0 ne obrne (:
+ unsigned long long int e = 0; // sEštevek
+ char * s = malloc(sizeof(char)*MX_NS_L);
+ for (i = a; i <= b; i++) {
+ // fprintf(stderr, "\rračunam ... preostane še %llu operacij.", b-i);
+ j = angnum(i, s, MX_NS_L);
+ if (j == 0)
+ return 2;
+ for (j-- /* da ne gledamo nul bajta na koncu (: */ ; j >= 0; j--) {
+ if (s[j] >= 'a' && s[j] <= 'z') // that's why I like C
+ e++;
+ }
+ }
+ fprintf(stdout, "\rkonec. seštevek črk je %llu.\n", e);
+ return 0;
+}