day 20, part 2

2020/20.rkt

@@ -1,5 +1,5 @@
 #lang br
-(require racket/file rackunit)
+(require racket/file rackunit racket/dict)
 
 (define edge-flipped
   (let ()
@@ -13,7 +13,7 @@
         (arithmetic-shift 1 i)))
     (λ (x) (hash-ref! cache x (λ () (edge-flipper x))))))
 
-(struct tile (num edges) #:transparent)
+(struct tile (num edges css) #:transparent #:mutable)
 
 (define (tilestr->edgevals tilestr)
   (define vec (list->vector (string->list (string-replace tilestr "\n" ""))))
@@ -27,15 +27,17 @@
               #:when (char=? (vector-ref vec idx) #\#))
       (arithmetic-shift 1 i))))
 
+(define tilestrs (make-hash))
+
 (define tiles
   (let* ([recs (string-split (file->string "20.rktd") "Tile")]
          [recs (map string-trim recs)])
     (for/list ([rec recs])
       (match-define (list numstr tilestr) (string-split rec ":"))
-      (tile (string->number numstr)
+      (define num (string->number numstr))
-            (tilestr->edgevals tilestr)))))
+      (tile num (tilestr->edgevals tilestr) (map string->list (string-split tilestr "\n"))))))
 
-(define (matching-edges tile)
+(define (matching-tiles tile [tiles tiles])
   (for/list ([edge (in-list (tile-edges tile))])
     (for/first ([other-tile (in-list (remove tile tiles))]
                 #:when
@@ -43,7 +45,131 @@
                   (or (eq? edge other-edge) (eq? edge (edge-flipped other-edge)))))
       other-tile)))
 
-(define (corner-tile? tile)
+(define (matching-edge-count tile count)
-  (= 2 (length (filter values (matching-edges tile)))))
+  (= count (length (filter values (matching-tiles tile)))))
+(define (edge-tile? tile) (matching-edge-count tile 3))
+(define (corner-tile? tile) (matching-edge-count tile 2))
 
 (check-equal? (apply * (map tile-num (filter corner-tile? tiles))) 15405893262491)
+
+(define corners (filter corner-tile? tiles))
+(define first-corner (car corners))
+
+(require racket/set)
+(define tileset (apply mutable-set (map tile-num tiles)))
+(define tile-grid (make-hasheqv))
+
+(define (flip-css css) (map reverse css))
+
+(define (flip t)
+  (tile (tile-num t) (tile-edges t) (flip-css (tile-css t))))
+
+(define (rotate-css css)
+  (map reverse (apply map list css)))
+
+(define (rotate t)
+  (tile (tile-num t) (tile-edges t) (rotate-css (tile-css t))))
+
+#;(define (place-line tile coord orientation)
+    (hash-set! tile-grid coord tile)
+    (set-remove! tileset (tile-num tile))
+    (for ([(edge idx) (in-indexed (tile-edges tile))]
+          [dir '(+i 1 -i -1)]
+          [matching-tile (matching-tiles tile)]
+          #:when (and matching-tile (= dir orientation)))
+      ;; match polarity
+      (unless (memq edge (tile-edges matching-tile))
+        (flip! matching-tile))
+      ;; match rotation
+      (let loop ()
+        (rotate! matching-tile)
+        (unless (eq? (list-ref (tile-edges tile) idx)
+                     (list-ref (tile-edges matching-tile) idx))
+          (loop)))
+      ;; rotate 180
+      (rotate! matching-tile)
+      (rotate! matching-tile)
+      ;; invert polarity
+      (flip! matching-tile)
+      (place-line matching-tile (+ coord dir) orientation)))
+
+(define (top tile) (first (tile-css tile)))
+(define (bottom tile) (last (tile-css tile)))
+(define (left tile) (map first (tile-css tile)))
+(define (right tile) (map last (tile-css tile)))
+
+(define (joiner tile left-proc right-proc)
+  (for*/first ([other-tile tiles]
+               #:unless (eq? (tile-num tile) (tile-num other-tile))
+               [flip-proc (list values flip)]
+               [rotate-proc (list values rotate (compose1 rotate rotate) (compose1 rotate rotate rotate))]
+               [adjusted-tile (in-value (rotate-proc (flip-proc other-tile)))]
+               #:when (equal? (left-proc tile) (right-proc adjusted-tile)))
+    adjusted-tile))
+
+(define (insert-joiners! coord)
+  (define tile (hash-ref tile-grid coord))
+  (for ([edge-proc (list top left bottom right)]
+        [opp-edge-proc (list bottom right top left)]
+        [dir (list +i -1 -i 1)])
+    (match (joiner tile edge-proc opp-edge-proc)
+      [#false (void)]
+      [joiner (hash-set! tile-grid (+ coord dir) joiner)])))
+
+
+(hash-set! tile-grid 0 first-corner)
+(for* ([imag (in-range 12)]
+       [real (in-range 0 -12 -1)])
+  (insert-joiners! (+ real (* imag +i))))
+
+(define (trim-edge css)
+  (drop-right (cdr (map (λ (cs) (drop-right (cdr cs) 1)) css)) 1))
+
+(define actual-image
+  (append*
+   (for/list ([imag (in-range 11 -1 -1)])
+     (apply map append
+            (for/list ([real (in-range -11 1)])
+              (trim-edge (tile-css (hash-ref tile-grid (+ real (* imag +i))))))))))
+
+#;(for-each (λ (x) (displayln (list->string x))) actual-image)
+
+(define row-width (length (car actual-image)))
+(define (css->vec css) (list->vector (apply append css)))
+
+(define sea-monster-offsets (list 0
+                                  (- row-width 18)
+                                  (- row-width 13)
+                                  (- row-width 12)
+                                  (- row-width 7)
+                                  (- row-width 6)
+                                  (- row-width 1)
+                                  row-width
+                                  (+ row-width 1)
+                                  (- (* 2 row-width) 2)
+                                  (- (* 2 row-width) 5)
+                                  (- (* 2 row-width) 8)
+                                  (- (* 2 row-width) 11)
+                                  (- (* 2 row-width) 14)
+                                  (- (* 2 row-width) 17)))
+
+(define (sea-monster-at? vec idx)
+  (for/and ([offset (in-list sea-monster-offsets)])
+    (define pos (+ idx offset))
+    (and
+     (< pos (vector-length vec))
+     (char=? (vector-ref vec pos) #\#))))
+
+(define vec (css->vec (rotate-css (rotate-css (rotate-css actual-image)))))
+(define sea-monster-idxs
+  (for/list ([idx (in-range (vector-length vec))]
+             #:when (sea-monster-at? vec idx))
+    idx))
+
+(define sea-monster-parts
+  (set->list
+  (for*/set ([idx sea-monster-idxs]
+             [offset sea-monster-offsets])
+    (+ idx offset))))
+
+(check-equal? (- (count (λ (c) (char=? #\# c)) (apply append actual-image)) (length sea-monster-parts)) 2133)