From 3f9d7989f9f023476518edbf1f76dd0344c07196 Mon Sep 17 00:00:00 2001 From: Matthew Butterick Date: Tue, 15 Dec 2020 23:13:40 -0800 Subject: [PATCH] day 16, part 1 --- 2020/16.rkt | 59 +++++++++++ 2020/16.rktd | 270 +++++++++++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 329 insertions(+) create mode 100644 2020/16.rkt create mode 100644 2020/16.rktd diff --git a/2020/16.rkt b/2020/16.rkt new file mode 100644 index 0000000..f7fb67d --- /dev/null +++ b/2020/16.rkt @@ -0,0 +1,59 @@ +#lang br +(require racket/file rackunit) + +(match-define (list fields my-ticket other-tickets) + (string-split (file->string "16.rktd") "\n\n")) + +(struct predicate (name func) #:transparent) +(define predicates + (for/list ([field (string-split fields "\n")]) + (match (regexp-match #px"^(.*?): (\\d+)-(\\d+) or (\\d+)-(\\d+)$" field) + [(list* _ name numstrs) + (match-define (list val1 val2 val3 val4) (map string->number numstrs)) + (predicate name (λ (x) (or (<= val1 x val2) (<= val3 x val4))))]))) + +(define (t2intvec t) (list->vector (map string->number (string-split t ",")))) + +(check-equal? (for*/sum ([ticket (cdr (string-split other-tickets "\n"))] + [intvec (t2intvec ticket)] + #:unless (for/or ([pred predicates]) + ((predicate-func pred) intvec))) + intvec) 26988) + +(define all-tickets (cdr (string-split other-tickets "\n"))) + +(define (ticket-valid? ticket) + (for/and ([intvec (t2intvec ticket)]) + (for/or ([pred predicates]) + ((predicate-func pred) intvec)))) + +(define valid-tickets (filter ticket-valid? all-tickets)) + +(define-values (departure-predicates other-predicates) + (partition (λ (p) (string-prefix? (predicate-name p) "departure")) predicates)) + +(define winning-idxss + (let loop ([extra-count 0]) + (define predicates-to-test + (append departure-predicates (take other-predicates extra-count))) + (define possible-winning-idxss + (let ([valid-ticket-vecs (map t2intvec valid-tickets)]) + (for/list ([idxs (in-combinations (range (length predicates)) + (length predicates-to-test))] + #:when (for/and ([intvec valid-ticket-vecs]) + (for/and ([idx idxs] + [pred departure-predicates]) + ((predicate-func pred) (vector-ref intvec idx))))) + idxs))) + (match possible-winning-idxss + [(list winner) (drop-right winner extra-count)] + [_ (loop (add1 extra-count))]))) + +;; too many possibilities +winning-idxss + +#;(define my-ticket-intvec (t2intvec (cadr (string-split my-ticket "\n")))) +#;(for/product ([idx winning-idxs] + [pred departure-predicates]) + (vector-ref my-ticket-intvec idx)) + diff --git a/2020/16.rktd b/2020/16.rktd new file mode 100644 index 0000000..b07d0c2 --- /dev/null +++ b/2020/16.rktd @@ -0,0 +1,270 @@ +departure location: 41-598 or 605-974 +departure station: 30-617 or 625-957 +departure platform: 29-914 or 931-960 +departure track: 39-734 or 756-972 +departure date: 37-894 or 915-956 +departure time: 48-54 or 70-955 +arrival location: 39-469 or 491-955 +arrival station: 47-269 or 282-949 +arrival platform: 26-500 or 521-960 +arrival track: 26-681 or 703-953 +class: 49-293 or 318-956 +duration: 25-861 or 873-973 +price: 30-446 or 465-958 +route: 50-525 or 551-973 +row: 39-129 or 141-972 +seat: 37-566 or 573-953 +train: 43-330 or 356-969 +type: 32-770 or 792-955 +wagon: 47-435 or 446-961 +zone: 30-155 or 179-957 + +your ticket: +71,127,181,179,113,109,79,151,97,107,53,193,73,83,191,101,89,149,103,197 + +nearby tickets: +909,469,709,246,389,667,389,288,817,242,942,255,428,712,187,861,821,552,229,253 +373,887,919,576,884,946,794,434,376,843,327,658,587,232,796,228,671,878,947,559 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