#lang br (require racket/file rackunit racket/set) (define (string->ints str) (map string->number (string-split str #px",\\s*"))) (define (string->regs str) (list->vector (string->ints str))) (define ((binarize proc) x y) (if (proc x y) 1 0)) (define (make-runner program [calling-thd (current-thread)]) (thread (λ () (define regs (string->regs program)) (define (maybe-enlarge-regs ptr) (unless (< ptr (vector-length regs)) (define newvec (make-vector (add1 ptr) 0)) (vector-copy! newvec 0 regs) (set! regs newvec)) regs) (define (reg-ref ptr) (vector-ref (maybe-enlarge-regs ptr) ptr)) (define (reg-set! ptr val) (vector-set! (maybe-enlarge-regs ptr) ptr val)) (define relative-base 0) (let/ec terminate (let loop ([ptr 0]) (define inst (for/list ([c (in-string (~r (reg-ref ptr) #:min-width 5 #:pad-string "0"))]) (string->number (string c)))) (define-values (opcode resolve) (match inst [(list d4 d3 d2 d1 d0) (values (+ (* 10 d1) d0) (λ (ptr offset) (define parameter-value (match offset [1 d2] [2 d3] [3 d4])) (define ptr-resolver (match parameter-value [0 reg-ref] ; position [1 values] ; immediate [2 (compose1 (λ (ptr) (+ relative-base ptr)) reg-ref)])); relative (ptr-resolver (+ ptr offset))))])) (define next-ptr (match opcode [(or 1 2 7 8) ; 4-arity: add & multiply & compare (reg-set! (resolve ptr 3) ((match opcode [1 +] [2 *] [7 (binarize <)] [8 (binarize =)]) (reg-ref (resolve ptr 1)) (reg-ref (resolve ptr 2)))) (+ ptr 4)] [(or 3 4 9) ; 2-arity: input & output (match opcode [3 (reg-set! (resolve ptr 1) (thread-receive))] [4 (thread-send calling-thd (reg-ref (resolve ptr 1)))] [9 (set! relative-base (+ relative-base (reg-ref (resolve ptr 1))))]) (+ ptr 2)] [(or 5 6) ; 3-arity: jump (if ((match opcode [5 not] [6 values]) (zero? (reg-ref (resolve ptr 1)))) (reg-ref (resolve ptr 2)) (+ ptr 3))] [99 (terminate)] [_ (error "unknown opcode" opcode)])) (loop next-ptr)))))) (define beam-rec (make-hasheq)) (define (in-beam? x y) (hash-ref! beam-rec (+ (* 10000 x) y) (λ () (define th (make-runner (file->string "19.rktd"))) (thread-send th x) (thread-send th y) (not (zero? (thread-receive)))))) ;; 1 (check-eq? (for*/sum ([x (in-range 50)] [y (in-range 50)] #:when (in-beam? x y)) 1) 129) (define (in-big-square? x y) (and (in-beam? x y) (in-beam? (+ x 99) y) (in-beam? x (+ y 99)))) ;; 2 ;; discovered by trial & error: ;; 2100 too low ;; 2200 ok (check-eq? (for*/first ([xy-sum (in-naturals 2100)] [x (in-range xy-sum)] [y (in-value (- xy-sum x))] #:when (in-big-square? x y)) (+ (* 10000 x) y)) 14040699)