2022/src/15.rkt

54 lines
1.5 KiB
Racket

#lang curly-fn racket
(require "../lib.rkt"
data/integer-set)
(define input
(for/list ([positions (problem-input 15)])
(match-define (pregexp "Sensor at x=(-?\\d+), y=(-?\\d+): closest beacon is at x=(-?\\d+), y=(-?\\d+)" sb)
positions)
(map string->number (rest sb))))
(define y 2000000)
(define bound 4000000)
(define (manhat x1 y1 x2 y2)
(+ (abs (- x1 x2)) (abs (- y1 y2))))
(define sensors
(for/list ([sb input])
(match-define `(,sx ,sy ,bx ,by) sb)
(list sx sy (manhat sx sy bx by))))
(define (impossible? x y)
(for/or ([sensor sensors])
(match-define `(,sx ,sy ,d) sensor)
(<= (manhat sx sy x y) d)))
(define part1
(for/fold ([impossibles (make-range)]
#:result (count impossibles))
([sb input])
(match-define `(,sx ,sy ,bx ,by) sb)
(define span (- (manhat sx sy bx by) (abs (- sy y))))
(if (> span 0)
(~> impossibles
(union (make-range (- sx span) (+ sx span)))
(subtract (if (= by y) (make-range bx) (make-range))))
impossibles)))
(define part2
(for/or ([sensor sensors])
(match-define `(,sx ,sy ,d) sensor)
(define d* (add1 d))
(for/or ([x (in-inclusive-range (- sx d*) (+ sx d*))]
#:when (<= 0 x bound))
(define +y (+ sy (- d* (- sx x))))
(define -y (- sy (- d* (- sx x))))
(define (freq y)
(and (<= 0 y bound)
(not (impossible? x y))
(+ (* x 4000000) y)))
(or (freq +y) (freq -y)))))
(show-solution part1 part2)