2021/src/15.rkt

40 lines
1.3 KiB
Racket

#lang curly-fn racket
(require graph
(except-in "../lib.rkt" transpose))
(struct posn (row col) #:transparent)
(define input
(for/vector ([row (problem-input 15)])
(for/vector ([col (string->list row)])
(char->number col))))
(define dim (vector-length input))
(define (grid-ref row col)
(define row* (remainder row dim))
(define col* (remainder col dim))
(define offset (+ (quotient row dim) (quotient col dim)))
(define v (+ offset (vector-ref (vector-ref input row*) col*)))
(if (> v 9) (add1 (% v 10)) v))
(define (adjs dim row col)
(filter #{and (<= 0 (car %) (sub1 dim)) (<= 0 (cdr %) (sub1 dim))}
`((,(add1 row) . ,col) (,(sub1 row) . ,col) (,row . ,(add1 col)) (,row . ,(sub1 col)))))
(define (make-graph dim)
(define graph (weighted-graph/directed '()))
(for* ([row (range dim)]
[col (range dim)]
[adj (adjs dim row col)])
(add-directed-edge! graph (posn row col)
(posn (car adj) (cdr adj))
(grid-ref (car adj) (cdr adj))))
graph)
(define (shortest-path dim)
(let*-values ([(weights paths) (dijkstra (make-graph dim) (posn 0 0))])
(hash-ref weights (posn (sub1 dim) (sub1 dim)))))
(show-solution (shortest-path dim) (shortest-path (* dim 5)))