From e23669efbcc6404bff65bd244aeac50a43c15acc Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 29 Oct 2022 17:54:49 +0000 Subject: [PATCH 01/12] init directory --- .../student-notes/fabio-lama/README.md | 62 +++++++++++++++ .../student-notes/fabio-lama/build.sh | 77 +++++++++++++++++++ 2 files changed, 139 insertions(+) create mode 100644 level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md create mode 100755 level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/build.sh diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md new file mode 100644 index 00000000..c15afbf4 --- /dev/null +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md @@ -0,0 +1,62 @@ +# About + +Listed here is a collection of cheatsheet by topic. Those cheatsheets do not +explain the topics in depth, but rather serve as quick lookup documents. +Therefore, the course material provided by the lecturer should still be studied +and understood. Not everything that is tested at the mid-terms or final exams is +covered and the Author does not guarantee that the cheatsheets are free of +errors. + +* TODO + +# Building + +_NOTE_: This step is only necessary if you chose to modify the base documents. + +The base documents are written in [AsciiDoc](https://asciidoc.org/) and can be +found in the `src/` directory. + +The following dependencies must be installed (Ubuntu): + +```console +$ apt install -y ruby-dev wkhtmltopdf +$ gem install asciidoctor +$ chmod +x build.sh +``` + +To build the documents (PDF version): + +```console +$ ./build.sh pdf +``` + +Optionally, for the HTML version: + +```console +$ ./build.sh html +``` + +and for the PNG version: + +```console +$ ./build.sh png +``` + +The generated output can be deleted with `./build.sh clean`. + +# Disclaimer + +The Presented Documents ("cheatsheets") by the Author ("Fabio Lama") are +summaries of specific topics. The term "cheatsheet" implies that the Presented +Documents are intended to be used as learning aids or as references for +practicing and does not imply that the Presented Documents should be used for +inappropriate practices during exams such as cheating or other offenses. + +The Presented Documents are heavily based on the learning material provided by +the University of London, respectively the VLeBooks Collection database in the +Online Library. + +The Presented Documents may incorporate direct or indirect definitions, +examples, descriptions, graphs, sentences and/or other content used in those +provided materials. **At no point does the Author present the work or ideas +incorporated in the Presented Documents as their own.** diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/build.sh b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/build.sh new file mode 100755 index 00000000..d3987601 --- /dev/null +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/build.sh @@ -0,0 +1,77 @@ +#!/bin/bash + +# Because `make` sucks. + +gen_html() { + # Remove suffix and prefix + FILE=$1 + OUT=${FILE%.adoc} + HTML_OUT="cheatsheet_${OUT}.html" + + asciidoctor $FILE -o ${HTML_OUT} +} + +# Change directory to src/ in order to have images included correctly. +cd "$(dirname "$0")/src/" + +case $1 in + html) + for FILE in *.adoc + do + # Generate HTML file. + gen_html ${FILE} + done + + # Move up from src/ + mv *.html ../ + ;; + pdf) + for FILE in *.adoc + do + # Generate HTML file. + gen_html ${FILE} + + # Convert HTML to PDF. + PDF_OUT="cheatsheet_${OUT}.pdf" + wkhtmltopdf \ + --enable-local-file-access \ + --javascript-delay 2000\ + $HTML_OUT $PDF_OUT + done + + # Move up from src/ + mv *.pdf ../ + + # Cleanup temporarily generated HTML files. + rm *.html > /dev/null 2>&1 + ;; + png | img) + for FILE in *.adoc + do + # Generate HTML file. + gen_html ${FILE} + + # Convert HTML to PNG. + IMG_OUT="cheatsheet_${OUT}.png" + wkhtmltopdf \ + --enable-local-file-access \ + --javascript-delay 2000\ + $HTML_OUT $IMG_OUT + done + + # Move up from src/ + mv *.png ../ + + # Cleanup temporarily generated HTML files. + rm *.html > /dev/null 2>&1 + ;; + clean) + rm *.html > /dev/null 2>&1 + rm *.png > /dev/null 2>&1 + rm ../*.html > /dev/null 2>&1 + rm ../*.png > /dev/null 2>&1 + ;; + *) + echo "Unrecognized command" + ;; +esac \ No newline at end of file From 9b04b9a4b184f800df50832603c5e76809b02496 Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 12 Nov 2022 16:34:45 +0000 Subject: [PATCH 02/12] add Pseudocode syntax --- .../fabio-lama/src/assets/morning_chart.png | Bin 0 -> 44483 bytes .../student-notes/fabio-lama/src/syntax.adoc | 30 ++++++++++++++++++ 2 files changed, 30 insertions(+) create mode 100644 level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/assets/morning_chart.png create mode 100644 level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/assets/morning_chart.png b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/assets/morning_chart.png new file mode 100644 index 0000000000000000000000000000000000000000..e8fbfb71f43e63e0ceb0ed53d076daf924a7a031 GIT binary patch literal 44483 zcmZU*2RN1g8$W&|BYQh!k0@J&tZd3iW$zWr-q|a%S1FQJQD#*3%s5IY3S~QlWE_#r z?|yuK-~V;}uK(w9^(p6^=RD8*x!?Ewx?iu?{ls0@)gUKfCPAT4S_+<@#s{;BHI4pu7RJkhDHHE%;( z!a4_HFJ?qb%C0S7(}?UdFFN*X|7!a6wn>r3E-`{inV2)$=dzyv8j3TTO1bApWF#Z< z7fr^3X*GC>YEX?ofcoT3)FhVh0x_pW^#Ah~N2U@kRn2Yvh9Dy3P^@eXXuDLNrMg;4 zGW;TEw(XkLm1kwN@@`gLc~Xjo={)UN+!cMgo@%m`*q_S%gmg{BoO6O)S~s3@eykRJ zQgp^*q+t27_E5Cz*c;dVy0Pcez8gPDEKwZ2;=u~+ry@`iI#DCb^xIlZLQ97{CFXj> zoQ@*hXtItg63lAe-WP4Fo=E?YP4>RA?SC93-aky`*)%<`aBgX7>5Bw;XltHn`yK~! zAzqobiS0G6e}29vy>bmT{TQE*F;$oMg{R})Cr$zZ^(j?Y={JI;={%fN#2mc51X@~J 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April 2022 +:doctype: article +:sectnums: 4 +:toclevels: 4 +:stem: + +## Workflow Chart + +image::assets/morning_chart.png[] + +## Pseudocode Syntax + +. stem:[bb "function " "Morning"(tt "conscious, done, cereal")] +. stem:[" " bb "if " tt "conscious" = "TRUE" bb " then"] +. stem:[" " " " tt "maths" larr 0] +. stem:[" " " " bb "for " 1 <= i <= tt "done" bb " do"] +. stem:[" " " " " " tt "maths" larr tt "maths" + 1] +. stem:[" " " " bb "end for"] +. stem:[" " " " bb "while " tt "cereal" > 0 bb " do"] +. stem:[" " " " " " tt "cereal" larr tt "cereal" - 1] +. stem:[" " " " bb "end while"] +. stem:[" " bb "end if"] +. stem:[" " bb "return " "ready!"] +. stem:[bb "end function"] + +We can now call the stem:["Morning"] function: + +. stem:[tt "status" larr "Morning"("TRUE", 10, 5)] From 3fc1eb298a9312c2358f0dc806d3fd23d50c814d Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 12 Nov 2022 17:06:37 +0000 Subject: [PATCH 03/12] add section on vectors 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zl<#30xszRsbEFuRz}<%JHq%a$w8AUSPoBLoOAs5{tgbjzl_`(EN;e2djfw#_g?pp69EP1Zmy~OqoQ4XvZ0{ zlhGJ0<>%6iX?5*EQ$JnWfg!z)jEPec(0WywbmN@~;pMZ0)Nvoj{-6L^l*0tVD!D(&5bQJulZ=7k&$t+dQksPdmD*Sdb3m?Otn9VD^>})JVzN2Qb{Q zKF*GCadRWu&j5g?7}!!M+x~bpA>=ScLXnkt0SJe@Wj@y<2D}Kz3_lJAn-U`*JLp%d*bR}u%-c>%>+LG z!*Er&XU$AEr!cmfgpX7j;*2xyyRqUl4LjP#8qy5xLItR3F(NA9b~oPhF4n7vOayxD zMB&>mBhev2B@H;i#vXiqQZYotII6$9G!5;&5k$9rHIqs_=1z`ShsqR(@FK5)UmNs| zo#*!xDZL}@N%uNBGSMLImc1T4$#7pfw`wiP$B%m~x}h@;w<0Y=A(|}!c1;mNRN96p z848Q|d|^85iugLN58O+24^31zh|&x*%Bg|YHQS?)E=YS_cT$J-#O{`wcaHLkRPT)I zTkN0SSRYToRw_bD21A=1V3H zum=h_CxZ5eXGhZ1qo(3pK5AW$`1&1T7Xt&4|x&Q{63i0u85)ctzI|*C|HMc&NP=9^4mUVJC2}~x8O+=ySU*ZB;EbbGmLao60dDA zOulHD)o5PrK5t3tX%nyhGTgZx;*xXmVv{D zj!Va3d8;8uAP`it5qsb$oeY uK5C2 :toclevels: 4 :stem: -## Workflow Chart +== Intro -image::assets/morning_chart.png[] +**Pseudocode** describes the logical steps of an algorithm or process is +(mostly) plain language. -## Pseudocode Syntax +== General Syntax (Example) + +=== Workflow Chart + +image::assets/morning_chart.png[width=700] + +=== Pseudocode Syntax . stem:[bb "function " "Morning"(tt "conscious, done, cereal")] . stem:[" " bb "if " tt "conscious" = "TRUE" bb " then"] @@ -28,3 +35,53 @@ image::assets/morning_chart.png[] We can now call the stem:["Morning"] function: . stem:[tt "status" larr "Morning"("TRUE", 10, 5)] + +== Data Structures + +=== Vectors + +A **vector** is a sequentially orderer collection of elements (like an ordered +set). For example, the following vector stem:[v] is of size three and +contains the elements stem:[A], stem:[B] and stem:[C]: + +[stem] +++++ +v = [A, B, C] +++++ + +The size of the vector is **fixed**, meaning one cannot add or remove items from +it (only replace individual items). + +NOTE: In some programming languages, "vector" refers to a _growable_ collection +of data, which is very different and not the case here. + +==== Operations + +We can do operations on vectors: + +* stem:["LENGTH"\[v\]]: Returns the size of vector stem:[v]. +* stem:[v\[k\]]: Returns the element of the vector stem:[v] at index +stem:[k]. +* stem:[v\[k\] larr o]: Stores the element stem:[o] into the vector stem:[v] +at index stem:[k]. + +For example, given vector: + +[stem] +++++ +v = [A, B, C, D] +++++ + +Then: + +[stem] +++++ +"LENGTH"[v] = 4\ +v[2] = B\ +v[2] larr Z\ +v[2] = Z +++++ + +NOTE: In programming languages, the index usually starts at stem:[0], +respectively the first element of the set is indexed at stem:[0]. In our case, +we start the index at stem:[1]. From 053cbc0075752b97dd572106e51149334a1eba02 Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 12 Nov 2022 17:29:29 +0000 Subject: [PATCH 04/12] add section on queues --- .../student-notes/fabio-lama/src/syntax.adoc | 69 ++++++++++++++++--- 1 file changed, 61 insertions(+), 8 deletions(-) diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc index 824b4c79..6cf7ac15 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc @@ -13,11 +13,7 @@ Fabio Lama == General Syntax (Example) -=== Workflow Chart - -image::assets/morning_chart.png[width=700] - -=== Pseudocode Syntax +image::assets/morning_chart.png[width=550, float="right"] . stem:[bb "function " "Morning"(tt "conscious, done, cereal")] . stem:[" " bb "if " tt "conscious" = "TRUE" bb " then"] @@ -38,7 +34,7 @@ We can now call the stem:["Morning"] function: == Data Structures -=== Vectors +=== Vector A **vector** is a sequentially orderer collection of elements (like an ordered set). For example, the following vector stem:[v] is of size three and @@ -83,5 +79,62 @@ v[2] = Z ++++ NOTE: In programming languages, the index usually starts at stem:[0], -respectively the first element of the set is indexed at stem:[0]. In our case, -we start the index at stem:[1]. +respectively the first element of the set is indexed at stem:[0], followed by +stem:[1, 2, ...]. In our case, we start the index at stem:[1]. + +To construct the new vector stem:[v] of size stem:[n]: + +[stem] +++++ +"new Vector " v(n) +++++ + +=== Queue + +A **queue** is a data structure where elements need to "wait" before they get +processed. Elements the get processed in the order the elements were added, +respectively "first in first out" (FIFO). Queues are not fixed sized. Elements +get added to the "tail" and come out at the "head". + +[stem] +++++ +q = [A, B, C]\ +"(tail) " D -> [A, B, C] -> "(head)" +++++ + +==== Operations + +We can do operations on queues: + +* stem:["HEAD"\[q\]]: Returns the element at the head of the queue. +* stem:["DEQUEUE"\[q\]]: Returns the element at the head of the queue and removes +that element from the queue. +* stem:["ENQUEUE"\[o, q\]]: Adds the element stem:[o] to the tail of the queue. +* stem:["EMPTY"\[q\]]: Returns _true_ if the queue is empty or _false_ if otherwise. + +For example, given queue: + +[stem] +++++ +q = [A, B, C, D] +++++ + +Then: + +[stem] +++++ +"HEAD"[q] = D\ +q = [A, B, C, D]\ +"DEQUEUE"[q] = D\ +q = [A, B, C]\ +"ENQUEUE"[Z, q]\ +q = [Z, A, B, C]\ +"EMPTY"[q] = "false" +++++ + +To construct the new queue stem:[q]: + +[stem] +++++ +"new Queue " q +++++ From 39c12de385d23fd7c2d8b7ca604fcfa417a0f4d7 Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 12 Nov 2022 17:32:03 +0000 Subject: [PATCH 05/12] seperate general syntax from data structures --- .../fabio-lama/src/data_structures.adoc | 113 ++++++++++++++++++ .../student-notes/fabio-lama/src/syntax.adoc | 111 +---------------- 2 files changed, 114 insertions(+), 110 deletions(-) create mode 100644 level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc new file mode 100644 index 00000000..fd44382d --- /dev/null +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc @@ -0,0 +1,113 @@ += Cheatsheet - Data Structures +Fabio Lama +:description: Module: CM1015 Computational Mathematics, started 04. April 2022 +:doctype: article +:sectnums: 4 +:toclevels: 4 +:stem: + + +== Vector + +A **vector** is a sequentially orderer collection of elements (like an ordered +set). For example, the following vector stem:[v] is of size three and +contains the elements stem:[A], stem:[B] and stem:[C]: + +[stem] +++++ +v = [A, B, C] +++++ + +The size of the vector is **fixed**, meaning one cannot add or remove items from +it (only replace individual items). + +NOTE: In some programming languages, "vector" refers to a _growable_ collection +of data, which is very different and not the case here. + +=== Operations + +We can do operations on vectors: + +* stem:["LENGTH"\[v\]]: Returns the size of vector stem:[v]. +* stem:[v\[k\]]: Returns the element of the vector stem:[v] at index +stem:[k]. +* stem:[v\[k\] larr o]: Stores the element stem:[o] into the vector stem:[v] +at index stem:[k]. + +For example, given vector: + +[stem] +++++ +v = [A, B, C, D] +++++ + +Then: + +[stem] +++++ +"LENGTH"[v] = 4\ +v[2] = B\ +v[2] larr Z\ +v[2] = Z +++++ + +NOTE: In programming languages, the index usually starts at stem:[0], +respectively the first element of the set is indexed at stem:[0], followed by +stem:[1, 2, ...]. In our case, we start the index at stem:[1]. + +To construct the new vector stem:[v] of size stem:[n]: + +[stem] +++++ +"new Vector " v(n) +++++ + +== Queue + +A **queue** is a data structure where elements need to "wait" before they get +processed. Elements the get processed in the order the elements were added, +respectively "first in first out" (FIFO). Queues are not fixed sized. Elements +get added to the "tail" and come out at the "head". + +[stem] +++++ +q = [A, B, C]\ +"(tail) " D -> [A, B, C] -> "(head)" +++++ + +=== Operations + +We can do operations on queues: + +* stem:["HEAD"\[q\]]: Returns the element at the head of the queue. +* stem:["DEQUEUE"\[q\]]: Returns the element at the head of the queue and removes +that element from the queue. +* stem:["ENQUEUE"\[o, q\]]: Adds the element stem:[o] to the tail of the queue. +* stem:["EMPTY"\[q\]]: Returns _true_ if the queue is empty or _false_ if otherwise. + +For example, given queue: + +[stem] +++++ +q = [A, B, C, D] +++++ + +Then: + +[stem] +++++ +"HEAD"[q] = D\ +q = [A, B, C, D]\ +"DEQUEUE"[q] = D\ +q = [A, B, C]\ +"ENQUEUE"[Z, q]\ +q = [Z, A, B, C]\ +"EMPTY"[q] = "false" +++++ + +To construct the new queue stem:[q]: + +[stem] +++++ +"new Queue " q +++++ \ No newline at end of file diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc index 6cf7ac15..9a75dc94 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc @@ -6,13 +6,11 @@ Fabio Lama :toclevels: 4 :stem: -== Intro +== General Syntax (Example) **Pseudocode** describes the logical steps of an algorithm or process is (mostly) plain language. -== General Syntax (Example) - image::assets/morning_chart.png[width=550, float="right"] . stem:[bb "function " "Morning"(tt "conscious, done, cereal")] @@ -31,110 +29,3 @@ image::assets/morning_chart.png[width=550, float="right"] We can now call the stem:["Morning"] function: . stem:[tt "status" larr "Morning"("TRUE", 10, 5)] - -== Data Structures - -=== Vector - -A **vector** is a sequentially orderer collection of elements (like an ordered -set). For example, the following vector stem:[v] is of size three and -contains the elements stem:[A], stem:[B] and stem:[C]: - -[stem] -++++ -v = [A, B, C] -++++ - -The size of the vector is **fixed**, meaning one cannot add or remove items from -it (only replace individual items). - -NOTE: In some programming languages, "vector" refers to a _growable_ collection -of data, which is very different and not the case here. - -==== Operations - -We can do operations on vectors: - -* stem:["LENGTH"\[v\]]: Returns the size of vector stem:[v]. -* stem:[v\[k\]]: Returns the element of the vector stem:[v] at index -stem:[k]. -* stem:[v\[k\] larr o]: Stores the element stem:[o] into the vector stem:[v] -at index stem:[k]. - -For example, given vector: - -[stem] -++++ -v = [A, B, C, D] -++++ - -Then: - -[stem] -++++ -"LENGTH"[v] = 4\ -v[2] = B\ -v[2] larr Z\ -v[2] = Z -++++ - -NOTE: In programming languages, the index usually starts at stem:[0], -respectively the first element of the set is indexed at stem:[0], followed by -stem:[1, 2, ...]. In our case, we start the index at stem:[1]. - -To construct the new vector stem:[v] of size stem:[n]: - -[stem] -++++ -"new Vector " v(n) -++++ - -=== Queue - -A **queue** is a data structure where elements need to "wait" before they get -processed. Elements the get processed in the order the elements were added, -respectively "first in first out" (FIFO). Queues are not fixed sized. Elements -get added to the "tail" and come out at the "head". - -[stem] -++++ -q = [A, B, C]\ -"(tail) " D -> [A, B, C] -> "(head)" -++++ - -==== Operations - -We can do operations on queues: - -* stem:["HEAD"\[q\]]: Returns the element at the head of the queue. -* stem:["DEQUEUE"\[q\]]: Returns the element at the head of the queue and removes -that element from the queue. -* stem:["ENQUEUE"\[o, q\]]: Adds the element stem:[o] to the tail of the queue. -* stem:["EMPTY"\[q\]]: Returns _true_ if the queue is empty or _false_ if otherwise. - -For example, given queue: - -[stem] -++++ -q = [A, B, C, D] -++++ - -Then: - -[stem] -++++ -"HEAD"[q] = D\ -q = [A, B, C, D]\ -"DEQUEUE"[q] = D\ -q = [A, B, C]\ -"ENQUEUE"[Z, q]\ -q = [Z, A, B, C]\ -"EMPTY"[q] = "false" -++++ - -To construct the new queue stem:[q]: - -[stem] -++++ -"new Queue " q -++++ From f770a9fa7d8da60d727be473428cc64339d300ee Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 12 Nov 2022 17:54:43 +0000 Subject: [PATCH 06/12] add section on stacks --- .../fabio-lama/src/data_structures.adoc | 48 +++++++++++++++++-- 1 file changed, 45 insertions(+), 3 deletions(-) diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc index fd44382d..21e52cbc 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc @@ -55,7 +55,8 @@ NOTE: In programming languages, the index usually starts at stem:[0], respectively the first element of the set is indexed at stem:[0], followed by stem:[1, 2, ...]. In our case, we start the index at stem:[1]. -To construct the new vector stem:[v] of size stem:[n]: +Generally, we should construct a new vector stem:[v] of size stem:[n] explicitly +with: [stem] ++++ @@ -105,9 +106,50 @@ q = [Z, A, B, C]\ "EMPTY"[q] = "false" ++++ -To construct the new queue stem:[q]: +Generally, we should construct a new queue stem:[q] explicitly with: [stem] ++++ "new Queue " q -++++ \ No newline at end of file +++++ + +== Stack + +A stack is like a queue, but elements are processed in the "last in first out" +(LIFO) order. + +=== Operations + +* stem:["PUSH"\[o,s\]]: Adds element stem:[o] to the stack. +* stem:["TOP"\[s\]]: Returns the last inserted element from the stack. +* stem:["POP"\[s\]]: Returns the last inserted element from the stack and +removes that element from the stack. +* stem:["EMPTY"\[s\]]: Returns _true_ if the stack is empty or _false_ if +otherwise. + +For example, given stack: + +[stem] +++++ +s = [A, B, C] +++++ + +Then: + +[stem] +++++ +"PUSH"[Z,s]\ +s = [A, B, C, Z]\ +"TOP"[s] = Z\ +s = [A, B, C, Z]\ +"POP"[s] = Z\ +s = [A, B, C]\ +"EMPTY"[s] = "false" +++++ + +Generally, we should construct a new stack stem:[s] explicitly with: + +[stem] +++++ +"new Stack " s +++++ From 0411b4bae3362675f52c18527a0953094b7d6bbe Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 12 Nov 2022 18:02:52 +0000 Subject: [PATCH 07/12] explicitly construct structures --- .../fabio-lama/src/data_structures.adoc | 51 +++++-------------- 1 file changed, 14 insertions(+), 37 deletions(-) diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc index 21e52cbc..353c91e5 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc @@ -6,16 +6,15 @@ Fabio Lama :toclevels: 4 :stem: - == Vector A **vector** is a sequentially orderer collection of elements (like an ordered -set). For example, the following vector stem:[v] is of size three and +set). For example, the following vector stem:[v] is of size _three_ and contains the elements stem:[A], stem:[B] and stem:[C]: [stem] ++++ -v = [A, B, C] +"new Vector " v(3) = (A, B, C) ++++ The size of the vector is **fixed**, meaning one cannot add or remove items from @@ -38,7 +37,7 @@ For example, given vector: [stem] ++++ -v = [A, B, C, D] +"new Vector " v(4) = (A, B, C, D) ++++ Then: @@ -48,21 +47,14 @@ Then: "LENGTH"[v] = 4\ v[2] = B\ v[2] larr Z\ -v[2] = Z +v[2] = Z\ +v = (A, Z, C, D) ++++ NOTE: In programming languages, the index usually starts at stem:[0], respectively the first element of the set is indexed at stem:[0], followed by stem:[1, 2, ...]. In our case, we start the index at stem:[1]. -Generally, we should construct a new vector stem:[v] of size stem:[n] explicitly -with: - -[stem] -++++ -"new Vector " v(n) -++++ - == Queue A **queue** is a data structure where elements need to "wait" before they get @@ -72,8 +64,7 @@ get added to the "tail" and come out at the "head". [stem] ++++ -q = [A, B, C]\ -"(tail) " D -> [A, B, C] -> "(head)" +"new Queue " q = (A, B, C) ++++ === Operations @@ -90,7 +81,7 @@ For example, given queue: [stem] ++++ -q = [A, B, C, D] +"new Queue " q = (A, B, C, D) ++++ Then: @@ -98,21 +89,14 @@ Then: [stem] ++++ "HEAD"[q] = D\ -q = [A, B, C, D]\ +q = (A, B, C, D)\ "DEQUEUE"[q] = D\ -q = [A, B, C]\ +q = (A, B, C)\ "ENQUEUE"[Z, q]\ -q = [Z, A, B, C]\ +q = (Z, A, B, C)\ "EMPTY"[q] = "false" ++++ -Generally, we should construct a new queue stem:[q] explicitly with: - -[stem] -++++ -"new Queue " q -++++ - == Stack A stack is like a queue, but elements are processed in the "last in first out" @@ -131,7 +115,7 @@ For example, given stack: [stem] ++++ -s = [A, B, C] +"new Stack " s = (A, B, C) ++++ Then: @@ -139,17 +123,10 @@ Then: [stem] ++++ "PUSH"[Z,s]\ -s = [A, B, C, Z]\ +s = (A, B, C, Z)\ "TOP"[s] = Z\ -s = [A, B, C, Z]\ +s = (A, B, C, Z)\ "POP"[s] = Z\ -s = [A, B, C]\ +s = (A, B, C)\ "EMPTY"[s] = "false" ++++ - -Generally, we should construct a new stack stem:[s] explicitly with: - -[stem] -++++ -"new Stack " s -++++ From 643f50c34d3abee60826890ff4c6b948b334b1ac Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 12 Nov 2022 18:13:10 +0000 Subject: [PATCH 08/12] unify documents, update README --- .../student-notes/fabio-lama/README.md | 2 +- .../cheatsheet_pseudocode_data_structures.pdf | Bin 0 -> 1654974 bytes ...s.adoc => pseudocode_data_structures.adoc} | 26 ++++++++++++++- .../student-notes/fabio-lama/src/syntax.adoc | 31 ------------------ 4 files changed, 26 insertions(+), 33 deletions(-) create mode 100644 level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/cheatsheet_pseudocode_data_structures.pdf rename level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/{data_structures.adoc => pseudocode_data_structures.adoc} (76%) delete mode 100644 level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md index c15afbf4..4e1f32df 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md @@ -7,7 +7,7 @@ and understood. Not everything that is tested at the mid-terms or final exams is covered and the Author does not guarantee that the cheatsheets are free of errors. -* TODO +* [Pseudocode, Vectors, Queues & Stacks](./cheatsheet_pseudocode_data_structures.pdf) # Building diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/cheatsheet_pseudocode_data_structures.pdf b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/cheatsheet_pseudocode_data_structures.pdf new file mode 100644 index 0000000000000000000000000000000000000000..59fa3d514cc67e321f81f5bd9601423393e38b89 GIT binary patch literal 1654974 zcmce82V7H4w)jPQ2kA8^ASk_835awNL=iE6nrw)R~SGC2Y#AT@jyYssXsHFHL z`8@6KQ>m&_N!)Vvec;3=e342*)7#0;*VCI%m~aXN0B(Q_;0w3|55R9v;341$+ynRk zNkANs0;IujIk1PZx2L0@gVUe7+yEQ$0djw7p!gp{x_WwCwetmGTve8ql$Mr~l9HBE zl#-HBu((L2rbgxD;rI&|>EGiN^w5b2*%FY$%jt{Y+&-c4zhpOK`YQ# z=cX?Rib~?92A{9D->-@xpQN~?G?j#d9iNoABuJ&kpZ;p--Q>Gx_rT}3Hg-O4d=l3^ 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level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/pseudocode_data_structures.adoc index 353c91e5..ee32abb9 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/data_structures.adoc +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/pseudocode_data_structures.adoc @@ -1,4 +1,4 @@ -= Cheatsheet - Data Structures += Cheatsheet - Pseudocode, Vectors, Queues & Stacks Fabio Lama :description: Module: CM1015 Computational Mathematics, started 04. April 2022 :doctype: article @@ -6,6 +6,30 @@ Fabio Lama :toclevels: 4 :stem: +== General Pseudocode Syntax (Example) + +Pseudocode describes the logical steps of an algorithm or process in +(mostly) plain language. + +image::assets/morning_chart.png[width=550, float="right"] + +. stem:[bb "function " "Morning"(tt "conscious, done, cereal")] +. stem:[" " bb "if " tt "conscious" = "TRUE" bb " then"] +. stem:[" " " " tt "maths" larr 0] +. stem:[" " " " bb "for " 1 <= i <= tt "done" bb " do"] +. stem:[" " " " " " tt "maths" larr tt "maths" + 1] +. stem:[" " " " bb "end for"] +. stem:[" " " " bb "while " tt "cereal" > 0 bb " do"] +. stem:[" " " " " " tt "cereal" larr tt "cereal" - 1] +. stem:[" " " " bb "end while"] +. stem:[" " bb "end if"] +. stem:[" " bb "return " "ready!"] +. stem:[bb "end function"] + +We can now call the stem:["Morning"] function: + +. stem:[tt "status" larr "Morning"("TRUE", 10, 5)] + == Vector A **vector** is a sequentially orderer collection of elements (like an ordered diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc deleted file mode 100644 index 9a75dc94..00000000 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/syntax.adoc +++ /dev/null @@ -1,31 +0,0 @@ -= Cheatsheet - Pseudocode Syntax -Fabio Lama -:description: Module: CM1015 Computational Mathematics, started 04. April 2022 -:doctype: article -:sectnums: 4 -:toclevels: 4 -:stem: - -== General Syntax (Example) - -**Pseudocode** describes the logical steps of an algorithm or process is -(mostly) plain language. - -image::assets/morning_chart.png[width=550, float="right"] - -. stem:[bb "function " "Morning"(tt "conscious, done, cereal")] -. stem:[" " bb "if " tt "conscious" = "TRUE" bb " then"] -. stem:[" " " " tt "maths" larr 0] -. stem:[" " " " bb "for " 1 <= i <= tt "done" bb " do"] -. stem:[" " " " " " tt "maths" larr tt "maths" + 1] -. stem:[" " " " bb "end for"] -. stem:[" " " " bb "while " tt "cereal" > 0 bb " do"] -. stem:[" " " " " " tt "cereal" larr tt "cereal" - 1] -. stem:[" " " " bb "end while"] -. stem:[" " bb "end if"] -. stem:[" " bb "return " "ready!"] -. stem:[bb "end function"] - -We can now call the stem:["Morning"] function: - -. stem:[tt "status" larr "Morning"("TRUE", 10, 5)] From b3cfe801aaf594eb0243d5380d0102155bc754ad Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Sat, 12 Nov 2022 18:14:01 +0000 Subject: [PATCH 09/12] generate PDF --- .../cheatsheet_pseudocode_data_structures.pdf | Bin 1654974 -> 1654974 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/cheatsheet_pseudocode_data_structures.pdf b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/cheatsheet_pseudocode_data_structures.pdf index 59fa3d514cc67e321f81f5bd9601423393e38b89..9dc2207907f1af07508d105955aeea7bfe5406c3 100644 GIT binary patch delta 89 zcmV~$%Mn9R06@_}kobp$qy<|IXhtD#arb82R&3SgoGWZs*!Ck@f*4_p2|h5z40C+q b3kxi Date: Mon, 27 Feb 2023 17:03:26 +0000 Subject: [PATCH 10/12] add section on time complexity --- .../student-notes/fabio-lama/README.md | 3 ++- .../cheatsheet_pseudocode_data_structures.pdf | Bin 1654974 -> 1811256 bytes .../fabio-lama/src/assets/time_complexity.jpg | Bin 0 -> 82040 bytes .../src/pseudocode_data_structures.adoc | 21 ++++++++++++------ 4 files changed, 16 insertions(+), 8 deletions(-) create mode 100644 level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/assets/time_complexity.jpg diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md index 4e1f32df..63c8f6a8 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md @@ -7,7 +7,8 @@ and understood. 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ee32abb9..2c99b0b0 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/pseudocode_data_structures.adoc +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/pseudocode_data_structures.adoc @@ -1,4 +1,4 @@ -= Cheatsheet - Pseudocode, Vectors, Queues & Stacks += Cheatsheet - Pseudocode, Data Structures & Time Complexity Fabio Lama :description: Module: CM1015 Computational Mathematics, started 04. April 2022 :doctype: article @@ -30,7 +30,9 @@ We can now call the stem:["Morning"] function: . stem:[tt "status" larr "Morning"("TRUE", 10, 5)] -== Vector +== Data Structures + +=== Vector A **vector** is a sequentially orderer collection of elements (like an ordered set). For example, the following vector stem:[v] is of size _three_ and @@ -47,7 +49,7 @@ it (only replace individual items). NOTE: In some programming languages, "vector" refers to a _growable_ collection of data, which is very different and not the case here. -=== Operations +==== Operations We can do operations on vectors: @@ -79,7 +81,7 @@ NOTE: In programming languages, the index usually starts at stem:[0], respectively the first element of the set is indexed at stem:[0], followed by stem:[1, 2, ...]. In our case, we start the index at stem:[1]. -== Queue +=== Queue A **queue** is a data structure where elements need to "wait" before they get processed. Elements the get processed in the order the elements were added, @@ -91,7 +93,7 @@ get added to the "tail" and come out at the "head". "new Queue " q = (A, B, C) ++++ -=== Operations +==== Operations We can do operations on queues: @@ -121,12 +123,12 @@ q = (Z, A, B, C)\ "EMPTY"[q] = "false" ++++ -== Stack +=== Stack A stack is like a queue, but elements are processed in the "last in first out" (LIFO) order. -=== Operations +==== Operations * stem:["PUSH"\[o,s\]]: Adds element stem:[o] to the stack. * stem:["TOP"\[s\]]: Returns the last inserted element from the stack. @@ -154,3 +156,8 @@ s = (A, B, C, Z)\ s = (A, B, C)\ "EMPTY"[s] = "false" ++++ + +== Time Complexity + +.Source: https://youtu.be/47GRtdHOKMg +image::assets/time_complexity.jpg[align=center, width=600] From 309b62f1848ece94a708603827d9b54402e25950 Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Mon, 27 Feb 2023 17:08:12 +0000 Subject: [PATCH 11/12] update chart price --- .../cheatsheet_pseudocode_data_structures.pdf | Bin 1811256 -> 1811510 bytes .../src/pseudocode_data_structures.adoc | 2 +- 2 files changed, 1 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z{OQuD5)6L&(0N)3+^xYl_|#sT*?)6(ae8NFZ1-=`!NmGC*GH<4RR0#ZIRrlPB+X@! z@;&28!pSC$MB)C((Fo2aReF~6ESD4?_{jT_i;IKm}pnCW>j2BPr0Nl7(5(YRIlmi JB$cIJ|34g?PtO1V diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/pseudocode_data_structures.adoc b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/pseudocode_data_structures.adoc index 2c99b0b0..9bc0cdf0 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/pseudocode_data_structures.adoc +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/src/pseudocode_data_structures.adoc @@ -160,4 +160,4 @@ s = (A, B, C)\ == Time Complexity .Source: https://youtu.be/47GRtdHOKMg -image::assets/time_complexity.jpg[align=center, width=600] +image::assets/time_complexity.jpg[align=center, width=500] From 0877e396bfac70302466021a545743b727a36355 Mon Sep 17 00:00:00 2001 From: lamafab <42901763+lamafab@users.noreply.github.com> Date: Mon, 6 Mar 2023 08:24:19 +0000 Subject: [PATCH 12/12] update README --- .../student-notes/fabio-lama/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md index 63c8f6a8..2021b57d 100644 --- a/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md +++ b/level-4/algorithms-and-data-structures-i/student-notes/fabio-lama/README.md @@ -55,7 +55,7 @@ inappropriate practices during exams such as cheating or other offenses. The Presented Documents are heavily based on the learning material provided by the University of London, respectively the VLeBooks Collection database in the -Online Library. +Online Library and the material provided on the Coursera platform. The Presented Documents may incorporate direct or indirect definitions, examples, descriptions, graphs, sentences and/or other content used in those

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