Xah Talk Show 2025-12-26 Ep733 Wolfram Language, Advent of Code 2025, Day 5
Video Summary (Generated by AI, Edited by Human.)
In this video, Xah Lee tackles Day 5 of the Advent of Code 2025 challenge using the Wolfram Language (0:06). The problem involves an inventory management system where elves need to determine which "available ingredient IDs" are "fresh" (2:16).
Here's a breakdown of the video:
Problem Description (1:48): The core task is to process a database containing a list of fresh ingredient ID ranges (e.g., 3 to 5, 10 to 14) and a separate list of available ingredient IDs. An ingredient is considered "fresh" if its ID falls within any of the defined fresh ranges (5:56). The goal is to count how many of the available ingredient IDs are fresh (7:32).
Concepts and Definitions (3:42): Xah clarifies three main concepts:
Ingredient ID: A unique identifier for an ingredient.
Available: Refers to the list of ingredient IDs the elves currently have.
Fresh: Determined by whether an ingredient ID falls within any of the inclusive fresh ID ranges (5:42).
Keyboard and System Digressions (4:18, 30:30): The video includes brief digressions where Xah answers a question about his Ultimate Hacking Keyboard 80 vs. Glove 80, noting his comfort with both, and discusses his recent Windows 11 upgrade experience.
Solution Approach in Wolfram Language (32:59): Xah demonstrates how to solve the problem using the Wolfram Language.
He first explains the parsing of the input data from a text file into a list of ranges and a list of IDs (20:18).
The core of his solution relies on the Select function (42:58). This function is used to efficiently check if an ID falls within any of the fresh ranges without needing explicit loops or recursion. If an ID is within a range, Select returns that range; otherwise, it returns an empty list.
He then maps this logic to each available ID: if Select returns a range, it's counted as 1 (fresh); if it returns an empty list, it's 0 (spoiled) (52:51).
Finally, the total count of fresh ingredients is obtained by summing these 1s and 0s (54:44).
Result (59:18): Using his personal input data, the solution correctly identifies 611 fresh available ingredients, which is confirmed as the right answer for the Advent of Code problem.
Conclusion and Support (1:02:07): Xah concludes by summarizing the elegant Wolfram Language solution and invites viewers to support his work through Patreon, Amazon gift cards, or PayPal.
given a list of ranges. e.g. 3-5 10-14 16-20 12-18 and given a list of numbers e.g. 1 5 8 11 17 32 find how many of them are in the given ranges.
Select[ {3,4,5,6}, EvenQ ] (* {4, 6} *) Select[ {3,4,5,6}, EvenQ , 1 ] (* {4} *) Select[ {3,7,5,11}, EvenQ ] (* {} *) Select[ {{3, 5}, {10, 14}, {16, 20}, {12, 18}} , Function[x, And[ 17 >= x[[1]], 17 <= x[[2]] ] ], 1 ] (* {{16, 20}} *)
xinput = "3-5 10-14 16-20 12-18 1 5 8 11 17 32"; With[{xTextBlocks=StringSplit[xinput , "\n\n"]}, With[{xrangeList = ToExpression @ StringSplit[ StringSplit[ xTextBlocks[[1]], "\n"] , "-"], xidList = ToExpression @ StringSplit[ xTextBlocks[[2]], "\n"] }, (* {xrangeList, xidList} *) (* {{{3, 5}, {10, 14}, {16, 20}, {12, 18}}, {1, 5, 8, 11, 17, 32}} *) Total @ Map[ Function[xID, With[{ xSelectResult = Select[ xrangeList , Function[xrange, And[ xID >= xrange[[1]], xID <= xrange[[2]] ] ], 1 ]}, If[ xSelectResult === {} , 0, 1] ] ] , xidList] ] ] (* 3 *)
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311713904232570 117859391237619 361244948353640 198504848086855 540145106260324 271758716257519 64380604549889 381710264282402 359746994121256 524478881091354 378050786484211 199073271168708 259303536819025 560041101049243 152438516140400 305241955667189 422295205957801 514700302626628 427604019295848 108521111422061 292878864954570 432839044317146 140444020146060 381124660365092 550717999236323 535413853919100 54781997466765 244207474544238 145887580106669 344093275079108 435596043498079 159329118873978 14156439354461 254515410671168 19161395150428 128014286324923 551393589992997 177140787651043 267910122877562 257698619121475 60783832297863 481368293698229 516443438735959 166906507851797 388498165601853 346937423794451 363773152476224 446810949913238 287831704023263 260649664958223 36941712245339 411033212343476 67376607306751 312776325896133 411971896383847 322940921080867 76045231773926 295290150725602 512482628619412 278999585151797 238824960198994 290949374439373 276726410433653 33747819136603 487521691028456 109682911361509 123541770491702 545013549352927 288319955308522 240164221249667 369113450742946 28829754291308 309213636632198 53876632452273 333122885956313 401290161732988 132241656237578 183327091830305 383465856388241 130366141055276 115144380177532 191151390324875 215087894351145 470404698602934 320988015597768 177851286257449 410780188123261 56132232548225 120808642559072 557120110360649 179973761295818 322923858813301 97370067872662 243215651288841 82151966644633 242734746527839 416901000195590 406835939941991 139939598119945 212025468616751 422853006376395 111343612643682 501612457859222 271663711751269 485662133677821 82385110282996 137812871936184 340256087147983 151528800493804 32918505359592 335867422460595 431264376239730 337037317098212 439487534999581 516906869728841 549413748531863 484319682739385 11745035872345 424402992477524 316795293852213 57130571219706 33489095390719 102802101033973 477616892516772 69165864571745 423581028549768 494530943700072 226501395595833 368475175695322 486133579090243 403640425642754 218465073101264 332139078806808 206206087750420 58387903111567 219756597964999 163664130255811 85627327972043 23291457591750 237430952417504 223085562668514 57631464348833 342015246125796 491326681684136 241336670878479 140051127886207 514598956975220 154606149977284 337265013261252 320230064418857 45223257152942 159061927174723 336302380927060 200189519417638 54564162252631 424869052427160 223236246858630 489150335061712 420549879955055 218337380713169 539804898780061 142682760504643 492910827605105 325894548265172 409430360115113 328276879326485 318153082950028 514154371932506 91744176104857 107116110962253 484825901367293 510440990054230 204555593175722 20515044552116 506329732228421 157233020751395 179016163799963 476846793195221 168564628169929 443344887294595 560581619238478 59422800752875 21869903453990 119657838631121 35545234118768 320780474914773 482136916674159 255587108103133 67648893426588 166650031232298 321026201109988 52352055283047 337198664445297 53797990153413 104515612302908 475015843580157 541218225341714 50670584916435 114883139262884 140002888676221 47061749126031 442710158275852 531746330738217 31963791047933 91409962926731 486896130004939 332653140968770 147228562462797 194926031429720 422417442308490 439328311044312 501671400230216 133926863946227 72065955365543 203211947687544 27047932658955 368748032884975 100486225335859 119080087777829 166393001965786 109028859192489 201040965637131 75209525971182 324103738646730 422074932635161 398603130027045 410554878735568 399261497921759 409592883489751 371902829433872 494936796227537 361075719659349 114228171918299 513900137323225 258450125546518 428965252783690 202599567656653 385519535934695 531259433554396 253333333577711 373235119169425 446798245198867 161340343519381 463607442164246 401489159535949 375728971367206 534153037736865 457412560644966 63608812693258 489762848777284 238330264463217 78234478725157 28821961631271 522105822381002 266317635564208 499853071271858 328153226526636 123034752704259 463640917963690 256064796669921 115829031734270 505091943383852 192487794660961 539971462389083 94766668458903 193527710949427 55115320790365 219460118822297 338614839830678 229679056409207 321847178693353 400788029204764 445782875057701 548251774127538 494149881361840 46224178842572 23975312042286 68027532011390 445814373870017 467228542245571 524112823431071 394796507025136 339024629171797"; With[{xTextBlocks=StringSplit[xinput , "\n\n"]}, With[{xrangeList = ToExpression @ StringSplit[ StringSplit[ xTextBlocks[[1]], "\n"] , "-"], xidList = ToExpression @ StringSplit[ xTextBlocks[[2]], "\n"] }, (* {xrangeList, xidList} *) (* {{{3, 5}, {10, 14}, {16, 20}, {12, 18}}, {1, 5, 8, 11, 17, 32}} *) Total @ Map[ Function[xID, With[{ xSelectResult = Select[ xrangeList , Function[xrange, And[ xID >= xrange[[1]], xID <= xrange[[2]] ] ], 1 ]}, If[ xSelectResult === {} , 0, 1] ] ] , xidList] ] ] (* 611 *)
Advent of Code 2025
- Xah Talk Show 2025-12-08 Ep720 Wolfram Language, Advent of Code 2025, Day 1
- Xah Talk Show 2025-12-09 Ep721 Wolfram Language, Advent of Code 2025, Day 1, Problem 2
- Xah Talk Show 2025-12-11 Ep723 Wolfram Language, Advent of Code 2025, Day 1, Problem 2, take 2
- Xah Talk Show 2025-12-12 Ep724 Wolfram Language, Advent of Code 2025, Day 2
- Xah Talk Show 2025-12-15 Ep725 Wolfram Language, Advent of Code 2025, Day 2, Problem 2
- Xah Talk Show 2025-12-17 Ep726 Wolfram Language, Advent of Code 2025, Day 3 (aborted)
- Xah Talk Show 2025-12-18 Ep727 Wolfram Language, Advent of Code 2025, Day 3, take 2
- Xah Talk Show 2025-12-19 Ep728 Wolfram Language, Advent of Code 2025, Day 3, part 2 (failed)
- Xah Talk Show 2025-12-20 Ep729 Wolfram Language, Advent of Code 2025, Day 4
- Xah Talk Show 2025-12-21 Ep730 Wolfram Language, Advent of Code 2025, Day 4, take 2
- Xah Talk Show 2025-12-22 Ep731 Wolfram Language, Advent of Code 2025, Day 4, part 2. Wolfram vs SageMath
- Xah Talk Show 2025-12-23 Ep732 Wolfram Language, Advent of Code 2025, Day 4, part 2. take 2
- Xah Talk Show 2025-12-26 Ep733 Wolfram Language, Advent of Code 2025, Day 5
- Xah Talk Show 2025-12-27 Ep734 Wolfram Language, Advent of Code 2025, Day 5, part 2 (failed)