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Diffstat (limited to 'mat')
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 Binary files differnew file mode 100755 index 0000000..c1c724c --- /dev/null +++ b/mat/advent/4/a.out diff --git a/mat/advent/4/n1 b/mat/advent/4/n1 Binary files differnew file mode 100755 index 0000000..9d59953 --- /dev/null +++ b/mat/advent/4/n1 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 Binary files differnew file mode 100644 index 0000000..709a1e3 --- /dev/null +++ b/mat/advent/5/advent5.ggb diff --git a/mat/advent/5/n1 b/mat/advent/5/n1 Binary files differnew file mode 100755 index 0000000..ae9cfe7 --- /dev/null +++ b/mat/advent/5/n1 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 Binary files differnew file mode 100755 index 0000000..2b0aca5 --- /dev/null +++ b/mat/advent/6/a.out diff --git a/mat/advent/6/n1 b/mat/advent/6/n1 Binary files differnew file mode 100755 index 0000000..1ca7db2 --- /dev/null +++ b/mat/advent/6/n1 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 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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 index 0000000..58c131a --- /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}% diff --git a/mat/domace_naloge/20/stderr.log b/mat/domace_naloge/20/stderr.log new file mode 100644 index 0000000..a6b0609 --- /dev/null +++ b/mat/domace_naloge/20/stderr.log @@ -0,0 +1 @@ +<</Type/XRef/Filter/FlateDecode/ID[<BCA6133D9C7872509424DF597B1B24B7><BCA6133D9C7872509424DF597B1B24B7>]/Index[ 0 145]/Info 143 0 R/Length 374/Root 142 0 R/Size 145/W[ 1 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This may have been caused + **** by a problem while converting or transfering the file. + **** Ghostscript will attempt to recover the data. + **** However, the output may be incorrect. + **** Error: stream Length incorrect. + Output may be incorrect. 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 Binary files differnew file mode 100755 index 0000000..25772a9 --- /dev/null +++ b/mat/euler/16/a.out 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 Binary files differnew file mode 100755 index 0000000..e83fc19 --- /dev/null +++ b/mat/euler/17/a.out 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; +} |