diff options
Diffstat (limited to '06/lib.scm')
-rw-r--r-- | 06/lib.scm | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/06/lib.scm b/06/lib.scm new file mode 100644 index 0000000..76bd34d --- /dev/null +++ b/06/lib.scm @@ -0,0 +1,82 @@ +(library (lib) + (export solve-part1 solve-part2) + (import (chezscheme)) + + ; Split list at first delimiter into `prefix' and `suffix' + ; Return value is a pair like `((p r e f i x) s u f f i x)' + (define (list-split-left delimiter? xs) + (let loop ((prefix '()) + (suffix xs)) + (if (null? suffix) + (cons prefix suffix) + (let ((x (car suffix))) + (if (delimiter? x) + ; Found first delimiter, so return immediately + (cons prefix (cdr suffix)) + ; `x' isn't a delimiter, so append it to `prefix' + (loop (append prefix (list x)) (cdr suffix))))))) + + ; Split list at given delimiter into list of sublists + (define (list-split delimiter? xs) + (let loop ((pieces '()) + (rest xs)) + (if (null? rest) + ; Fix order and remove all empty sublists from output + ; (which are caused by consecutive delimiters in `xs') + (reverse (remp null? pieces)) + ; Extract next piece from `rest' and prepend it to `pieces' + (let ((next (list-split-left delimiter? rest))) + (loop (cons (car next) pieces) (cdr next)))))) + + ; Split string at whitespace into list of words + (define (string-split str) + (map list->string (list-split char-whitespace? (string->list str)))) + + ; Find the index at which `needle' occurs in `haystack', or `#f' + (define (find-index needle haystack) + (let loop ((xs haystack) (i 0)) + (if (null? xs) + #f + (if (equal? needle (car xs)) + i + (loop (cdr xs) (+ i 1)))))) + + ; `apply' but for vectors, assuming `proc' returns a scalar + (define (vector-apply proc vec) + (apply proc (vector->list vec))) + + ; Redistribute the items according to the puzzle description + (define (redistribute old) + (let* ((n-max (vector-apply max old)) ; largest value in `old' + (i-max (find-index n-max (vector->list old))) ; index of `n-max' in `old' + (new (vector-apply vector old)) ; allocate copy of `old' + (len (vector-length old))) ; number of slots in `old' + ; Clear the slot that had the most items + (vector-set! new i-max 0) + ; Add those items to the other slots one by one + (let loop ((i (mod (+ i-max 1) len)) + (remaining n-max)) + (if (= remaining 0) + new + (let ((n (vector-ref new i))) + (vector-set! new i (+ n 1)) + (loop (mod (+ i 1) len) (- remaining 1))))))) + + ; Keep redistributing items until a previous state is revisited + (define (solve-puzzle str) + (let ((init (list->vector (map string->number (string-split str))))) + (let loop ((states (list init))) + (if (find-index (car states) (cdr states)) + states + (loop (cons (redistribute (car states)) states)))))) + + ; Loop detected after `(length states)' cycles, minus initial state + (define (solve-part1 str) + (- (length (solve-puzzle str)) 1)) + + ; Loop start state first seen somewhere in `(cdr states)', at which index? + (define (solve-part2 str) + (let ((states (solve-puzzle str))) + (+ (find-index (car states) (cdr states)) 1))) + +) |