From 48d768d53b0b15b43574a3c97f940fe622e2fa97 Mon Sep 17 00:00:00 2001 From: Riyyi Date: Sat, 5 Apr 2025 20:27:59 +0200 Subject: [PATCH] Add algorithm pages --- content/articles/dijkstras-shortest-path.md | 158 ++++++++++++++++ content/articles/fizzbuzz.md | 170 ++++++++++++++++++ content/articles/invert-binary-tree.md | 152 ++++++++++++++++ content/articles/sieve-of-eratosthenes.md | 65 +++++++ nuxt.config.ts | 2 +- .../algorithms/dijkstras-shortest-path.png | Bin 0 -> 22098 bytes public/img/algorithms/invert-binary-tree.png | Bin 0 -> 47813 bytes .../img/algorithms/sieve-of-eratosthenes.gif | Bin 0 -> 157448 bytes src/components/articles/overview.vue | 4 +- src/pages/algorithms.vue | 2 +- 10 files changed, 550 insertions(+), 3 deletions(-) create mode 100644 content/articles/dijkstras-shortest-path.md create mode 100644 content/articles/fizzbuzz.md create mode 100644 content/articles/invert-binary-tree.md create mode 100644 content/articles/sieve-of-eratosthenes.md create mode 100644 public/img/algorithms/dijkstras-shortest-path.png create mode 100644 public/img/algorithms/invert-binary-tree.png create mode 100644 public/img/algorithms/sieve-of-eratosthenes.gif diff --git a/content/articles/dijkstras-shortest-path.md b/content/articles/dijkstras-shortest-path.md new file mode 100644 index 0000000..b66694e --- /dev/null +++ b/content/articles/dijkstras-shortest-path.md @@ -0,0 +1,158 @@ +--- +title: "Dijkstra's Shortest Path" +description: "Dijkstra's shortest path." +navigation: false +date: "2021-03-02 02:31:20" +img: "/img/algorithms/dijkstras-shortest-path.png" +tags: + - Algorithm +--- + +Implementation of the shortest path algorithm, invented by Dijkstra. + +```python +#!/usr/bin/python + +import os +import time + +# List of all the cities +cities = [ + "Ab'Dendriel", + "Ankrahmun", + "Carlin", + "Darashia", + "Edron", + "Liberty Bay", + "Port Hope", + "Roshamuul", + "Oramond", + "Svargrond", + "Thais", + "Venore", + "Yalahar", + "Krailos", + "Issavi", + "Cormaya", +] + +# Possible boat fares +fares = [ + [None, None, 80, None, 70, None, None, None, None, None, 130, 90, 160, None, None, None], # Ab'Dendriel + [None, None, None, 100, 160, 90, 80, None, None, None, None, 150, 230, None, None, None], # Ankrahmun + [ 80, None, None, None, 110, None, None, None, None, 110, 110, 130, 185, None, None, None], # Carlin + [None, 100, None, None, None, 200, 180, None, None, None, None, 60, 210, 110, 130, None], # Darashia + [ 70, 160, 110, None, None, 170, 150, None, None, None, 160, 40, None, 100, None, 20], # Edron + [None, 90, None, 200, 170, None, 50, None, None, None, 180, 180, 275, None, None, None], # Liberty Bay + [None, 110, None, 180, 150, 50, None, None, None, None, 160, 160, 260, None, None, None], # Port Hope + [None, None, None, None, None, None, None, None, None, None, 210, None, None, None, None, None], # Roshamuul + [None, None, None, None, 110, None, 200, None, None, None, 150, 130, None, 60, 120, None], # Oramond + [None, None, 110, None, None, None, None, None, None, None, 180, 150, None, None, None, None], # Svargrond + [ 130, None, 110, None, 160, 180, 160, 210, 150, 180, None, 170, 200, None, None, None], # Thais + [ 90, 150, 130, 60, 40, 180, 160, None, None, 150, 170, None, 185, 110, 130, None], # Venore + [ 160, 230, 185, 210, None, 275, 260, None, None, None, 200, 185, None, None, None, None], # Yalahar + [None, None, None, 110, 100, None, None, None, 60, None, None, 110, None, None, 70, None], # Krailos + [None, None, None, 80, None, None, None, None, 100, None, None, 80, None, 80, None, None], # Issavi + [None, None, None, None, 20, None, None, None, None, None, None, None, None, None, None, None], # Cormaya +] + +# Say phrase +def say(string): + time.sleep(0.2) + os.system('xdotool key Return') + os.system('xdotool keydown Alt') + os.system('xdotool type "' + string + '"') + os.system('xdotool keyup Alt') + os.system('xdotool key Return') + +# Say fare +def typeFare(city): + say("hi") + time.sleep(1.0) + say(city) + say("yes") + +def dijkstraShortestPath(sourceVertex): + explored = [] + unexplored = [] + + # Setup vertices + for i, fare in enumerate(fares[sourceVertex]): + unexplored.append([i, None, None]) + + # Set the source vertex distance to 0 + if i == sourceVertex: + unexplored[-1][1] = 0 + + while len(unexplored) > 0: + # Select the closest vertex + closest = None + distance = None + for i, vertex in enumerate(unexplored): + if (distance == None and vertex[1] != None) or \ + (vertex[1] != None and vertex[1] < distance): + closest = i + distance = vertex[1] + + # Move the closest vertex to explored + explored.append(unexplored.pop(closest)) + ID = explored[-1][0] + + # Explore this vertex + for i, vertex in enumerate(unexplored): + + # Is linked + if fares[ID][vertex[0]] != None: + + # If it hasnt been set before + if vertex[1] == None: + vertex[1] = fares[ID][vertex[0]] + explored[-1][1] + vertex[2] = ID + # Or is cheaper + elif vertex[1] > fares[ID][vertex[0]] + explored[-1][1]: + vertex[1] = fares[ID][vertex[0]] + explored[-1][1] + vertex[2] = ID + + return explored + +def dijkstraTraversePath(sourceVertex, targetVertex, explored): + find = targetVertex + path = [targetVertex] + while find != sourceVertex: + for i, vertex in enumerate(explored): + if vertex[0] == find: + find = vertex[2] + path.append(vertex[2]) + break + path.pop() + path.reverse() + return path + +def main(): + locations = '\n'.join(cities) + current = os.popen('echo "' + locations + '" | rofi -dmenu -i -p "Where are you now?"').read().rstrip() + destination = os.popen('echo "' + locations + '" | rofi -dmenu -i -p "Where are you going?"').read().rstrip() + + if not current or not destination: return + + currentIndex = cities.index(current) + destinationIndex = cities.index(destination) + + # If a direct route is possible + if fares[currentIndex][destinationIndex] != None: + typeFare(destination) + return + + # Calculate possible non-direct route + data = dijkstraShortestPath(currentIndex) + path = dijkstraTraversePath(currentIndex, destinationIndex, data) + + for index in path: + typeFare(cities[index]) + +if __name__ == "__main__": + main() +``` + +Source:
+[Dijkstra Algorithm - Example (YouTube)](https://www.youtube.com/watch?v=JcN_nq1EAr4){ target=_blank } diff --git a/content/articles/fizzbuzz.md b/content/articles/fizzbuzz.md new file mode 100644 index 0000000..b3c098d --- /dev/null +++ b/content/articles/fizzbuzz.md @@ -0,0 +1,170 @@ +--- +title: "FizzBuzz" +description: "FizzBuzz." +navigation: false +date: "2021-03-02 02:31:02" +tags: + - Algorithm +--- + +Implementation of the classic FizzBuzz interview question, done in two ways. + +```cpp +#include + +void calculate() +{ + for (int i = 1; i < 101; i++) { + if (i % 15 == 0) { + std::cout << "FizzBuzz" << std::endl; + } + else if (i % 5 == 0) { + std::cout << "Buzz" << std::endl; + } + else if (i % 3 == 0) { + std::cout << "Fizz" << std::endl; + } + else { + std::cout << i << std::endl; + } + } +} + +void pattern() +{ + const char* pattern[] = { + "%d\n", + "%d\n", + "Fizz\n", + "%d\n", + "Buzz\n", + "Fizz\n", + "%d\n", + "%d\n", + "Fizz\n", + "Buzz\n", + "%d\n", + "Fizz\n", + "%d\n", + "%d\n", + "FizzBuzz\n", + }; + + for (int i = 0; i < 100; i++) { + printf(pattern[i % 15], i + 1); + } +} + +int main(int argc, char* argv[]) +{ + calculate(); + + pattern(); + + return 0; +} +``` + +Output (x2): +``` +1 +2 +Fizz +4 +Buzz +Fizz +7 +8 +Fizz +Buzz +11 +Fizz +13 +14 +FizzBuzz +16 +17 +Fizz +19 +Buzz +Fizz +22 +23 +Fizz +Buzz +26 +Fizz +28 +29 +FizzBuzz +31 +32 +Fizz +34 +Buzz +Fizz +37 +38 +Fizz +Buzz +41 +Fizz +43 +44 +FizzBuzz +46 +47 +Fizz +49 +Buzz +Fizz +52 +53 +Fizz +Buzz +56 +Fizz +58 +59 +FizzBuzz +61 +62 +Fizz +64 +Buzz +Fizz +67 +68 +Fizz +Buzz +71 +Fizz +73 +74 +FizzBuzz +76 +77 +Fizz +79 +Buzz +Fizz +82 +83 +Fizz +Buzz +86 +Fizz +88 +89 +FizzBuzz +91 +92 +Fizz +94 +Buzz +Fizz +97 +98 +Fizz +Buzz +``` diff --git a/content/articles/invert-binary-tree.md b/content/articles/invert-binary-tree.md new file mode 100644 index 0000000..ec4c555 --- /dev/null +++ b/content/articles/invert-binary-tree.md @@ -0,0 +1,152 @@ +--- +title: "Invert Binary Tree" +description: "Invert binary tree." +navigation: false +date: "2021-03-02 02:31:09" +img: "/img/algorithms/invert-binary-tree.png" +tags: + - Algorithm +--- + +Implementation of inverting a binary tree. + +binarytree.h +```cpp +#ifndef BINARYTREE_H +#define BINARYTREE_H + +#include + +class BinaryTree { +public: + // Contructors, Destructors + + BinaryTree(uint32_t value, BinaryTree* left = nullptr, + BinaryTree* right = nullptr); + + // Functions + + void print(); + void invert(); + + // Getters, Setters + + inline uint32_t value() { return m_value; } + +private: + uint32_t m_value; + BinaryTree* m_left; + BinaryTree* m_right; +}; + +#endif // BINARYTREE_H +``` + +binarytree.cpp +```c +#include +#include +#include + +#include "binarytree.h" + +BinaryTree::BinaryTree(uint32_t value, BinaryTree *left, BinaryTree *right) + : m_value(value), m_left(left), m_right(right) {} + +void BinaryTree::print() +{ + // Skip nodes without children + if (!m_left && !m_right) { + return; + } + + // Value + std::cout << std::setw(2) << m_value << " -> "; + // Left + std::cout << std::setw(2) << (m_left ? std::to_string(m_left->value()) : "") << " | "; + // Right + std::cout << (m_right ? std::to_string(m_right->value()) : "") << std::endl; + + // Recursion + if (m_left) { + m_left->print(); + } + if (m_right) { + m_right->print(); + } +} + +void BinaryTree::invert() +{ + // Swap + BinaryTree* tmp = m_left; + m_left = m_right; + m_right = tmp; + + // Recursion + if (m_left) { + m_left->invert(); + } + if (m_right) { + m_right->invert(); + } +} +``` +main.cpp +```cpp +#include + +#include "binarytree.h" + +int main(int argc, char* argv[]) +{ + (void) argc; + (void) argv; + + BinaryTree n3(3); + BinaryTree n9(9); + BinaryTree n13(13); + + BinaryTree n4(4, &n3); + BinaryTree n6(6); + BinaryTree n8(8, nullptr, &n9); + BinaryTree n12(12, nullptr, &n13); + + BinaryTree n5(5, &n4, &n6); + BinaryTree n10(10, &n8, &n12); + + BinaryTree n7(7, &n5, &n10); + + std::cout << std::endl << "Binary Tree:" << std::endl; + n7.print(); + + n7.invert(); + + std::cout << std::endl << "Binary Tree Inverted:" << std::endl; + n7.print(); + + return 0; +} +``` + +Output: +``` +Binary Tree: + 7 -> 5 | 10 + 5 -> 4 | 6 + 4 -> 3 | +10 -> 8 | 12 + 8 -> | 9 +12 -> | 13 + +Binary Tree Inverted: + 7 -> 10 | 5 +10 -> 12 | 8 +12 -> 13 | + 8 -> 9 | + 5 -> 6 | 4 + 4 -> | 3 +``` + +Source:
+[Binary Search Trees in Java (YouTube)](https://www.youtube.com/watch?v=Qa5r8Wsda70){ target=_blank } diff --git a/content/articles/sieve-of-eratosthenes.md b/content/articles/sieve-of-eratosthenes.md new file mode 100644 index 0000000..aef98f7 --- /dev/null +++ b/content/articles/sieve-of-eratosthenes.md @@ -0,0 +1,65 @@ +--- +title: "Sieve of Eratosthenes" +description: "Sieve of Eratosthenes." +navigation: false +date: "2021-03-02 02:31:16" +img: "/img/algorithms/sieve-of-eratosthenes.gif" +tags: + - Algorithm +--- + +Implementation of the ancient sieve of Eratosthenes math algorithm, used for +finding prime numbers up to a given limit. + +```c +#include // bool +#include // printf +#include // memset + +int main(int argc, char* argv[]) { + int limit = 10000; + int calculate = limit * 20; + + // Create an array and set all to true + bool numbers[calculate]; + memset(&numbers, true, sizeof(bool) * calculate); + + // Loop through all the numbers + for (int i = 2; i < calculate; i++) { + + // Already crossed out numbers don't have to be checked + if (numbers[i]) { + // Cross out all the numbers that can't be a prime, which are multiples of itself + for (int j = i * i; j < calculate; j += i) { + numbers[j] = false; + } + + // Once you exceed the calculate range, you can exit the loop + if (i * i > calculate) { + break; + } + } + } + + int sum = 0; + int counter = 1; + // Get the sum of the first 10000 primes + for (int i = 2; i < calculate; i++) { + if (numbers[i]) { + sum += i; + + if (counter >= limit) { + break; + } + counter++; + } + } + + printf("sum of first %d primes is: %d\n", counter, sum); + + return 0; +} +``` + +Source:
+[https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes](https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes){ target=_blank } diff --git a/nuxt.config.ts b/nuxt.config.ts index 4b921e5..d6e4206 100644 --- a/nuxt.config.ts +++ b/nuxt.config.ts @@ -15,7 +15,7 @@ export default defineNuxtConfig({ }, langs: [ // https://github.com/shikijs/shiki/blob/main/packages/langs/package.json - "c", "cpp", "css", "html", "js", "json", "lua", "md", "mdc", "php", "shell", "ts", "vue", "yaml" + "c", "cpp", "css", "html", "js", "json", "lua", "md", "mdc", "php", "python", "shell", "ts", "vue", "yaml" ] }, toc: { diff --git a/public/img/algorithms/dijkstras-shortest-path.png b/public/img/algorithms/dijkstras-shortest-path.png new file mode 100644 index 0000000000000000000000000000000000000000..26d21c0100e8410f57d2554ccddcb6ba3ee898ca GIT binary patch literal 22098 zcmafbbyQVfv^5=4BHbn3-3=n$-QC^YEg;>gph$;wNh96eUD93O{=IL!zaL{5L%H{y zyU*Tp%{Av-L@Oysp}fO?2LSr*5*_yf`Dv$iV)1QW%7 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