Gear Ratios
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chicken.org
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chicken.org
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@ -61,7 +61,7 @@ Consider your entire calibration document. *What is the sum of all of the calibr
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:END:
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#+NAME: day1-solution-1
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#+begin_src scheme :var input=day1-input
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#+begin_src scheme :var input=day1-input :results output drawer
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(import (chicken string)
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(chicken irregex))
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(let ((lines (string-split input "\n")))
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@ -78,7 +78,20 @@ Consider your entire calibration document. *What is the sum of all of the calibr
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#+end_src
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#+RESULTS: day1-solution-1
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: 54159
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:results:
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Error: unbound variable: geiser#geiser-eval
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Call history:
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<syntax> (geiser#geiser-eval (quote #f) (quote (begin (let ((input (quote "eightqrssm9httwogqshfxninepnfrppfz...
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<syntax> (quote #f)
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<syntax> (##core#quote #f)
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<syntax> (quote (begin (let ((input (quote "eightqrssm9httwogqshfxninepnfrppfzhsc\none111jxlmc7tvklrmhdpsix\n...
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<syntax> (##core#quote (begin (let ((input (quote "eightqrssm9httwogqshfxninepnfrppfzhsc\none111jxlmc7tvklrmh...
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<eval> (geiser#geiser-eval (quote #f) (quote (begin (let ((input (quote "eightqrssm9httwogqshfxninepnfrppfz... <--
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#;2>
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:end:
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** Part Two
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@ -1404,7 +1417,7 @@ power of these sets?*
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Most code can be reused from the first part; only the success check and the main function have to be
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rewritten to accommodate the new requirements.
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The success check gets replaced by a function that multiplies the minima together.
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The success check gets replaced by a function that multiplies the maxima together.
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#+NAME: day2-part2-powercalc
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#+begin_src scheme
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@ -1452,6 +1465,8 @@ The full thing put together:
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** Puzzle Input
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Jump to [[#headline-22][day 3]].
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#+NAME: day2-input
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#+begin_example
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Game 1: 2 blue, 4 green; 7 blue, 1 red, 14 green; 5 blue, 13 green, 1 red; 1 red, 7 blue, 11 green
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@ -1555,3 +1570,469 @@ Game 98: 11 red, 6 blue, 13 green; 4 blue, 2 red, 12 green; 2 blue, 8 green, 10
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Game 99: 2 red, 1 blue; 4 green; 7 green, 1 blue, 1 red; 5 green, 2 red; 1 blue, 2 red, 9 green; 2 green, 3 red
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Game 100: 7 red, 11 blue; 10 red, 5 blue, 1 green; 7 red, 1 green, 13 blue; 9 red; 9 red, 19 blue; 9 red, 9 blue
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#+end_example
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* Day 3: Gear Ratios
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** Part One
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*** Quest
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You and the Elf eventually reach a [[https://en.wikipedia.org/wiki/Gondola_lift][gondola lift]] station; he says the gondola lift will take you up
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to the *water source*, but this is as far as he can bring you. You go inside.
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It doesn't take long to find the gondolas, but there seems to be a problem: they're not moving.
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"Aaah!"
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You turn around to see a slightly-greasy Elf with a wrench and a look of surprise. "Sorry, I wasn't
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expecting anyone! The gondola lift isn't working right now; it'll still be a while before I can fix
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it." You offer to help.
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The engineer explains that an engine part seems to be missing from the engine, but nobody can figure
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out which one. If you can *add up all the part numbers* in the engine schematic, it should be easy
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to work out which part is missing.
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The engine schematic (your puzzle input) consists of a visual representation of the engine. There
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are lots of numbers and symbols you don't really understand, but apparently *any number adjacent to
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a symbol*, even diagonally, is a "part number" and should be included in your sum. (Periods (=.=) do
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not count as a symbol.)
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Here is an example engine schematic:
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#+begin_example
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467..114..
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...*......
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..35..633.
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......#...
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617*......
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.....+.58.
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..592.....
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......755.
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...$.*....
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.664.598..
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#+end_example
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In this schematic, two numbers are *not* part numbers because they are not adjacent to a symbol:
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=114= (top right) and =58= (middle right). Every other number is adjacent to a symbol and so *is* a
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part number; their sum is *=4361=*.
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Of course, the actual engine schematic is much larger. *What is the sum of all of the part numbers
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in the engine schematic?*
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*** Puzzle Solution
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#+begin_src scheme :exports none :noweb yes :tangle day3.scm
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(import (chicken string)
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(chicken format))
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(define input "
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<<day3-input>>
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")
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#+end_src
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**** Records
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#+NAME: day3-part1-records
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#+begin_src scheme :tangle day3.scm
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(define-record part-number number line start-col end-col)
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(define-record part-symbol sym line start-col end-col)
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(define-record buffer-char char line col)
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#+end_src
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**** Indexing the Input
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#+NAME: day3-part1-indexing
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#+begin_src scheme :tangle day3.scm
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(define (index-input input #!optional (indexed-input '()) (line-index 0) (col-index 0))
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(if (= 0 (length input))
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(reverse indexed-input)
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(let ((next-char (car input))
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(new-rest-input (cdr input)))
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(if (eqv? #\newline next-char)
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(index-input new-rest-input
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indexed-input
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(+ line-index 1)
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0)
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(index-input new-rest-input
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(cons (make-buffer-char next-char line-index col-index)
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indexed-input)
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line-index
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(+ col-index 1))))))
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#+end_src
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**** Tokenizing the Indexed Input
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#+NAME: day3-part1-number-char-p
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#+begin_src scheme :tangle day3.scm
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(define (number-char? c)
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(case (buffer-char-char c)
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((#\0 #\1 #\2 #\3 #\4 #\5 #\6 #\7 #\8 #\9) #t)
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(else #f)))
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#+end_src
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#+NAME: day3-part1-finalize-token
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#+begin_src scheme :tangle day3.scm
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(define (finalize-token buffer)
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(let* ((rev-buffer (reverse buffer))
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(line (buffer-char-line (car buffer)))
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(start-col (buffer-char-col (car buffer)))
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(end-col (buffer-char-col (car rev-buffer))))
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(if (number-char? (car buffer))
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(make-part-number (string->number
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(apply string (map buffer-char-char buffer)))
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line start-col end-col)
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(make-part-symbol (string->symbol
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(apply string (map buffer-char-char buffer)))
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line start-col end-col))))
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#+end_src
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#+NAME: day3-part1-compatible-with-buffer-p
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#+begin_src scheme :tangle day3.scm
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(define (compatible-with-buffer? buffer char)
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(and
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(not (eqv? #\. (buffer-char-char char)))
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(or (= 0 (length buffer))
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(and (number-char? (car buffer))
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(number-char? char))
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(and (not (number-char? (car buffer)))
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(not (number-char? char))))))
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#+end_src
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#+NAME: day3-part1-tokenize-indexed-input
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#+begin_src scheme :tangle day3.scm
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(define (tokenize-indexed-input indexed-input #!optional (token-buffer '()) (part-nums '()) (part-syms '()))
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(if (= 0 (length indexed-input))
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(values (reverse part-nums)
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(reverse part-syms))
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(let ((next-char (car indexed-input)))
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(cond
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((compatible-with-buffer? token-buffer (car indexed-input))
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(tokenize-indexed-input (cdr indexed-input)
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(cons (car indexed-input) token-buffer)
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part-nums part-syms))
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((= 0 (length token-buffer))
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(tokenize-indexed-input
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(cdr indexed-input)
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(if (eqv? #\. (buffer-char-char (car indexed-input)))
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token-buffer (list (car indexed-input)))
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part-nums part-syms))
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(else
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(let ((token (finalize-token (reverse token-buffer))))
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(tokenize-indexed-input
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(cdr indexed-input)
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(if (eqv? #\. (buffer-char-char next-char)) '() (list (car indexed-input)))
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(if (part-number? token) (cons token part-nums) part-nums)
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(if (part-symbol? token) (cons token part-syms) part-syms))))))))
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#+end_src
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**** Checking for Part Neighbours
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#+NAME: day3-part1-neighbours-p
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#+begin_src scheme :tangle day3.scm
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(define (neighbours? part-num part-sym)
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(let ((part-num-line (part-number-line part-num))
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(col-min (- (part-number-start-col part-num) 1))
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(col-max (+ (part-number-end-col part-num) 1)))
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(and (>= (part-symbol-line part-sym) (- part-num-line 1))
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(<= (part-symbol-line part-sym) (+ part-num-line 1))
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(>= (part-symbol-start-col part-sym) col-min)
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(<= (part-symbol-start-col part-sym) col-max)
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(>= (part-symbol-end-col part-sym) col-min)
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(<= (part-symbol-end-col part-sym) col-max))))
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#+end_src
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**** Folding Everything Together
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#+NAME: day3-part1-real-part-number-p
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#+begin_src scheme :tangle day3.scm
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(define (is-real-part-number? part-num part-syms)
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(and (< 0 (length part-syms))
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(or (neighbours? part-num (car part-syms))
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(is-real-part-number? part-num (cdr part-syms)))))
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#+end_src
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#+NAME: day3-part1-fold
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#+begin_src scheme :tangle day3.scm
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(define (fold-part-numbers part-nums part-syms)
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(foldl (lambda (output input)
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(if (is-real-part-number? input part-syms)
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(+ output (part-number-number input))
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output))
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0 part-nums))
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#+end_src
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#+NAME: day3-part1-calc
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#+begin_src scheme :var input=day3-input :noweb yes
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(import (chicken string))
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<<day3-part1-records>>
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<<day3-part1-indexing>>
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<<day3-part1-number-char-p>>
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<<day3-part1-finalize-token>>
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<<day3-part1-compatible-with-buffer-p>>
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<<day3-part1-tokenize-indexed-input>>
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<<day3-part1-neighbours-p>>
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<<day3-part1-real-part-number-p>>
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<<day3-part1-fold>>
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(let-values (((part-nums part-syms) (tokenize-indexed-input (index-input (string->list input)))))
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(fold-part-numbers part-nums part-syms))
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#+end_src
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RESULTS: day3-part1-calc
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: 509115
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#+begin_src scheme :tangle day3.scm
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(define (calc-part-1)
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(let-values (((part-nums part-syms) (tokenize-indexed-input (index-input (string->list input)))))
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(fold-part-numbers part-nums part-syms)))
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#+end_src
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** Part Two
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*** Quest
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The engineer finds the missing part and installs it in the engine! As the engine springs to life,
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you jump in the closest gondola, finally ready to ascend to the water source.
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You don't seem to be going very fast, though. Maybe something is still wrong? Fortunately, the
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gondola has a phone labeled "help", so you pick it up and the engineer answers.
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Before you can explain the situation, she suggests that you look out the window. There stands the
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engineer, holding a phone in one hand and waving with the other. You're going so slowly that you
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haven't even left the station. You exit the gondola.
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The missing part wasn't the only issue - one of the gears in the engine is wrong. A *gear* is any
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=*= symbol that is adjacent to *exactly two part numbers*. Its *gear ratio* is the result of
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multiplying those two numbers together.
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This time, you need to find the gear ratio of every gear and add them all up so that the engineer
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can figure out which gear needs to be replaced.
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Consider the same engine schematic again:
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#+begin_example
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467..114..
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...*......
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..35..633.
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......#...
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617*......
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.....+.58.
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..592.....
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......755.
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...$.*....
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.664.598..
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#+end_example
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In this schematic, there are *two* gears. The first is in the top left; it has part numbers =467=
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and =35=, so its gear ratio is =16345=. The second gear is in the lower right; its gear ratio is
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=451490=. (The =*= adjacent to =617= is *not* a gear because it is only adjacent to one part
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number.) Adding up all of the gear ratios produces *=467835=*.
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*What is the sum of all of the gear ratios in your engine schematic?*
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*** Puzzle Solution
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**** Gather Symbol Neighbours
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#+NAME: day3-part2-sym-neighbour-count
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#+begin_src scheme :tangle day3.scm
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(define (gather-neighbours part-sym part-nums)
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(foldl (lambda (output input)
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(if (neighbours? input part-sym)
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(cons input output)
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output))
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(list) part-nums))
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#+end_src
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**** Put Everything Together
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#+NAME: day3-part2-filter
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#+begin_src scheme :tangle day3.scm
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(define (filter-gear-candidates part-syms)
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(foldl (lambda (output input)
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(if (eqv? '* (part-symbol-sym input))
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(cons input output) output))
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(list) part-syms))
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#+end_src
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#+NAME: day3-part2-fold
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#+begin_src scheme :tangle day3.scm
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(define (calc-gear-ratio gears)
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(foldl (lambda (output input)
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(if (= 2 (length input))
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(+ output (apply * (map part-number-number input)))
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output))
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0 gears))
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#+end_src
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#+NAME: day3-part2-calc
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#+begin_src scheme
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(import (chicken string))
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<<day3-part1-records>>
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<<day3-part1-indexing>>
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<<day3-part1-number-char-p>>
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<<day3-part1-finalize-token>>
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<<day3-part1-compatible-with-buffer-p>>
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<<day3-part1-tokenize-indexed-input>>
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<<day3-part1-neighbours-p>>
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<<day3-part2-sym-neighbour-count>>
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<<day3-part2-filter>>
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<<day3-part2-fold>>
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(let-values (((part-nums part-syms) (tokenize-indexed-input (index-input (string->list input)))))
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(let ((gear-candidates (map (lambda (x) (gather-neighbours x part-nums)) (filter-gear-candidates part-syms))))
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(calc-gear-ratio gears)))
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#+end_src
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#+RESULTS: day3-part2-calc
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: 75220503
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#+begin_src scheme :tangle day3.scm
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(define (calc-part-2)
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(let-values (((part-nums part-syms) (tokenize-indexed-input (index-input (string->list input)))))
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(let ((gear-candidates (map (lambda (x) (gather-neighbours x part-nums)) (filter-gear-candidates part-syms))))
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(calc-gear-ratio gear-candidates))))
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#+end_src
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** Puzzle Input
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#+NAME: day3-input
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#+begin_example
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.....664...998........343...............851............................2............414.....................3....................948.164....
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......*..................*617....885...*....................-......250.........536..........470...#..................../4......=.....*......
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...407...570..218................-.....654........776.....920.........*753...........566......*..347.....61.-979..786........935...42.......
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.......%....*...$..311.102..........................*.907.....723...............622-....*..354..............................................
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.....266..............*....987.554...........&....288...#......#.......................69......41..........486..-...........................
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.849................................&........781...........978......724*..196..../767................725..../...892.....*355.....815.390....
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....*......@.....*988......%........704...............*......&...........*...................826.....................243.......#....*.......
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...796......729.9.........490..721....................438.=....272..54&...926..481..............*..523......&.785...........766.......*493..
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........281.........706...........=.666.......505.........579.*................./...669.........73...*...639...*.......479.........514......
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...........*...386.......375..................................525.926..$120............&.580.........457........325.......*829..............
|
||||
.....758..662.......937....%...661.24......749*323...444.............*.............583....*.........................................223.....
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.......*........665....*...........*................@.................154......965..*....119.......620*............347.................*470.
|
||||
........391.........183.........75..783../....................209.312............*...362........./.....667..........*....77.................
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...379=..........................$......261..228........907......*.......+591...178.........227.704........@771..667..........268......543..
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||||
.......................#.....................*..........*....................................-........*581...........101........*.....*.....
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................471...545..135........432..178....$225..143...973#..322............2.................................*...........239...985..
|
||||
......728*612...*.........*.....65....................................*...........*................&..............527....255+../............
|
||||
..255.........435.304....854...................-............=........261......&...749....+......196....694......................779..271.374
|
||||
......604.........*.....................708.....922.......76..82*554......991..19........456............*..582.........597@.................
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.................374..*........*707........................................*....................609...52....%.................483...........
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||||
..../..................739......................$..........649...973.*511.861..20%.................=.....................148....*......343..
|
||||
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|
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|
||||
#+end_example
|
||||
|
|
|
|||
Loading…
Reference in New Issue