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#lang racket
(require threading
memoize)
;; not going to bother importing the data since it's just two lines of text
(define player-1-start 4)
(define player-2-start 6)
(define track (sequence->stream (in-cycle (inclusive-range 1 10))))
(define current-turn (in-cycle (list 'player-1 'player-2)))
(define die-rolls (sequence->stream (in-cycle (inclusive-range 1 100))))
;; part 1
(~> (for/fold ([player-1-score 0]
[player-1-track (stream-tail track (sub1 player-1-start))]
[player-2-score 0]
[player-2-track (stream-tail track (sub1 player-2-start))]
[dice die-rolls]
[last-turn 0]
#:result (list (min player-1-score player-2-score) (* 3 last-turn)))
([turn-count (in-naturals 1)]
[turn-for current-turn]
#:break (or (player-1-score . >= . 1000)
(player-2-score . >= . 1000)))
(define rolls (apply + (stream->list (stream-take dice 3))))
(match turn-for
['player-1 (define next-track (stream-tail player-1-track rolls))
(values (+ player-1-score (stream-first next-track)) next-track
player-2-score player-2-track
(stream-tail dice 3)
turn-count)]
['player-2 (define next-track (stream-tail player-2-track rolls))
(values player-1-score player-1-track
(+ player-2-score (stream-first next-track)) next-track
(stream-tail dice 3)
turn-count)]))
(apply * _))
;; part 2
(define d3 (list 1 2 3))
(define roll-space (~>> (cartesian-product d3 d3 d3)
(map (λ~>> (apply +)))))
(define/memo (next-turns p1-score p2-score p1-start p2-start)
(cond
[(p1-score . >= . 21) '(1 0)]
[(p2-score . >= . 21) '(0 1)]
[else
(for/fold ([wins '(0 0)])
([roll (in-list roll-space)])
(define move-to (add1 (modulo (sub1 (+ roll p1-start)) 10)))
(define possible-wins (next-turns p2-score (+ p1-score move-to) p2-start move-to))
(list (+ (first wins) (second possible-wins))
(+ (second wins) (first possible-wins ))))]))
(~>> (next-turns 0 0 player-1-start player-2-start)
(apply max))
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