Coding Challenge #35.1: Traveling Salesperson

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In Part 1 of this multi-part coding challenge, I introduce the classic computer science problem of the Traveling Salesperson (TSP) and discuss the pitfalls with a brute force solution. In Part 2, I discuss Lexicographic Ordering and demonstrate one algorithm to iterate over all the permutations of an array. In Part 3, I apply this algorithm to a brute-force solution of the TSP problem. Every single route permutation is checked one by one. In Part 4, I attempt to create a solution to the TSP problem with a genetic algorithm, and then I add a β€œcrossover” algorithm in Part 5. Code: https://thecodingtrain.com/challenges/35-traveling-salesperson

p5.js Web Editor Sketches:
πŸ•ΉοΈ Part 1: Traveling Salesperson (TSP): https://editor.p5js.org/codingtrain/sketches/FCNAHaCqf
πŸ•ΉοΈ Part 2: Lexicographic Order: https://editor.p5js.org/codingtrain/sketches/iYxi30gbl
πŸ•ΉοΈ Part 3: TSP with Lexicographic Order: https://editor.p5js.org/codingtrain/sketches/bWPIkEv9s
πŸ•ΉοΈ Part 4: TSP with Genetic Algorithm: https://editor.p5js.org/codingtrain/sketches/EGjTrkkf9
πŸ•ΉοΈ Part 5: TSP with Genetic Algorithm and Crossover: https://editor.p5js.org/codingtrain/sketches/EGjTrkkf9

Other Parts of this Challenge:
πŸ“Ί Part 2: Lexicographic Order: https://youtu.be/goUlyp4rwiU
πŸ“Ί Part 3: TSP with Lexicographic Order: https://youtu.be/9Xy-LMAfglE
πŸ“Ί Part 4: TSP with Genetic Algorithm: https://youtu.be/M3KTWnTrU_c
πŸ“Ί Part 5: TSP with Genetic Algorithm and Crossover: https://youtu.be/hnxn6DtLYcY

πŸŽ₯ Previous video: https://youtu.be/Cl_Gjj80gPE?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH
πŸŽ₯ Next video: https://youtu.be/rX5p-QRP6R4?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH
πŸŽ₯ All videos: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH

References:
🌐 Traveling Salesman on Wikipedia: https://en.wikipedia.org/wiki/Travelling_salesman_problem
πŸ—¨οΈ Permutation Algorithm Using Lexicographic Ordering: https://www.quora.com/How-would-you-explain-an-algorithm-that-generates-permutations-using-lexicographic-ordering
πŸ“ Array on MDN: https://developer.mozilla.org/en/docs/Web/JavaScript/Reference/Global_Objects/Array
πŸ“ Array.includes() on MDN: https://developer.mozilla.org/en/docs/Web/JavaScript/Reference/Global_Objects/Array/includes
πŸ“ Array.reverse() on MDN: https://developer.mozilla.org/en/docs/Web/JavaScript/Reference/Global_Objects/Array/reverse
πŸ“ ES6 Sets on MDN: https://developer.mozilla.org/en/docs/Web/JavaScript/Reference/Global_Objects/Set
πŸ’Ύ The Nature of Code Part 2: https://github.com/shiffman/NOC-S17-2-Intelligence-Learning
πŸ“• The Nature of Code: http://natureofcode.com/

Videos:
πŸŽ₯ Improved Pool Selection: https://www.youtube.com/watch?v=ETphJASzYes&list=PLRqwX-V7Uu6YJ3XfHhT2Mm4Y5I99nrIKX&index=23
πŸŽ₯ Genetic Algorithm Playlist: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6bJM3VgzjNV5YxVxUwzALHV
πŸ”΄ Live Stream Archive #57: https://youtu.be/r_SpBy9fQuo

Related Coding Challenges:
πŸš‚ #29 Smart Rockets in p5.js: https://youtu.be/bGz7mv2vD6g
πŸš‚ #51 A* Pathfinding Algorithm: https://youtu.be/aKYlikFAV4k
πŸš‚ #69 Evolutionary Steering Behaviors: https://youtu.be/flxOkx0yLrY
πŸš‚ #70 Nearest Neighbors Recommendation Engine: https://youtu.be/N8Fabn1om2k

Timestamps:
00:00 Welcome to this coding challenge!
00:50 What is the Traveling Salesperson problem?
04:50 Code! Placing random cities on the canvas
07:30 Go through the cities in order
08:13 Shuffling the array with swaps
11:35 Computing the distance and saving the shortest one
15:20 Oups! Fixing an array index error
17:00 How to make a copy of an array?
19:43 Storing a copy of the best cities path ever
20:24 Drawing the best cities path ever
21:00 The limits of this brute force algorithm

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

πŸš‚ Website: http://thecodingtrain.com/
πŸ‘Ύ Share Your Creation! https://thecodingtrain.com/guides/passenger-showcase-guide
🚩 Suggest Topics: https://github.com/CodingTrain/Suggestion-Box
πŸ’‘ GitHub: https://github.com/CodingTrain
πŸ’¬ Discord: https://discord.gg/hPuGy2g
πŸ’– Membership: http://youtube.com/thecodingtrain/join
πŸ›’ Store: https://standard.tv/codingtrain
πŸ–‹οΈ Twitter: https://twitter.com/thecodingtrain
πŸ“Έ Instagram: https://www.instagram.com/the.coding.train/

πŸŽ₯ Coding Challenges: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH
πŸŽ₯ Intro to Programming: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6Zy51Q-x9tMWIv9cueOFTFA

πŸ”— p5.js: https://p5js.org
πŸ”— p5.js Web Editor: https://editor.p5js.org/
πŸ”— Processing: https://processing.org

πŸ“„ Code of Conduct: https://github.com/CodingTrain/Code-of-Conduct

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#travelingsalesperson #permutation #lexicographicordering #natureofcode #geneticalgorithm #evolution #bruteforce #factorial #arrays #p5js







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