This commit is contained in:
2025-09-25 23:34:02 -04:00
parent ca133f77df
commit 34cee3e910
2 changed files with 23 additions and 78 deletions
+23 -4
View File
@@ -1,7 +1,7 @@
;; The first three lines of this file were inserted by DrRacket. They record metadata
;; about the language level of this file in a form that our tools can easily process.
#reader(lib "htdp-intermediate-reader.ss" "lang")((modname main) (read-case-sensitive #t) (teachpacks ()) (htdp-settings #(#t constructor repeating-decimal #f #t none #f () #f)))
#|; A MaybeTree is one of
; A MaybeTree is one of
; - (make-tree [Number MaybeTree MaybeTree])
(define-struct tree [n left right])
; - 'end
@@ -41,7 +41,6 @@
(check-expect (bst? sapling) #t)
(check-expect (bst? good-tree) #t)
(check-expect (bst? broke-tree) #f)
|#
; A Trie is a [Node]
@@ -90,6 +89,26 @@
(local [; String w, Trie t -> Trie
; Adds word w to a Trie.
(define (triadd w t)
(if (
(local [; String c, String wrest, Trie t -> Trie
; Helper function to insert a chacater (and the rest of the word) to the Trie.
(define (insert-char c wrest t)
(cond [(empty? t)
(list (make-node c ; Node character.
(string=? wrest "") ; Mark whether Node's a word end.
(if (string=? wrest "") ; If more left in the word, recurse.
'()
(triadd wrest '()))))]
[(string=? (node-c (first t)) c) ; Character matches -- return existing Trie Node + whatever added if necessary.
(cons (make-node c
(or (node-e (first t))
(string=? wrest ""))
(if (string=? wrest "")
(node-l (first t))
(triadd wrest (node-l (first t))))) ; Recurse.
(rest t))]
[else
(cons (first t) (insert-char c wrest (rest t)))]))]
(insert-char (substring w 0 1) (substring w 1) t)))]
(foldl triadd '() l)))
(check-exepct (strie '("and" "bee" "cat" "an" "a" "ant" "better" "bet" "be")) example-trie)
(check-expect (strie '("and" "bee" "cat" "an" "a" "ant" "better" "bet" "be")) example-trie)
-74
View File
@@ -1,74 +0,0 @@
#reader(lib "htdp-intermediate-reader.ss" "lang")((modname main) (read-case-sensitive #t) (teachpacks ()) (htdp-settings #(#t constructor repeating-decimal #f #t none #f () #f)))
#|
; A MaybeTree is one of
; - (make-tree [Number MaybeTree MaybeTree])
(define-struct tree [n left right])
; - 'end
(define sprout (make-tree 0 'end 'end))
(define seedling (make-tree 5 sprout (make-tree 6 'end 'end)))
(define sapling (make-tree 10
(make-tree 6 sprout 'end)
(make-tree 12 'end 'end)))
(define good-tree (make-tree 50 sapling (make-tree 100 'end 'end)))
(define broke-tree (make-tree 5 good-tree good-tree))
; Tree t -> Bool
; Determines whether a Tree is a binary search tree.
(define (bst? t)
(local [; Tree t -> Bool
; Recursively checks left and right.
(define (recurse t)
(or (and (symbol? t) (symbol=? t 'end))
(and (acc-right (tree-right t) (tree-n t))
(acc-left (tree-left t) (tree-n t)))))
; Tree t, Number n -> Bool
; Accumulates the current number to check left.
(define (acc-left t n)
(or (and (symbol? t) (symbol=? t 'end))
(and (< (tree-n t) n) (recurse t))))
; Tree t, Number n -> Bool
; Accumulates the current number to check right.
(define (acc-right t n)
(or (and (symbol? t) (symbol=? t 'end))
(and (> (tree-n t) n) (recurse t))))]
(recurse t)))
(check-expect (bst? sprout) #t)
(check-expect (bst? sapling) #t)
(check-expect (bst? good-tree) #t)
(check-expect (bst? broke-tree) #f)
|#
; A Trie is a [Node]
; A Node is a
; (make-node [String c Boolean e [Node] l])
; and represents a prefix tree. 'c' represents the node character, 'e' is a
; flag for if the node marks the end of a word in the tree, and 'l' is the list
; of child nodes.
(define-struct node [c e l])
(define example-trie
'((make-node "a" #t
((make-node "n" #t ((make-node "d" #t ()) (make-node "t" #t ())))))
(make-node "b" #f
((make-node "e" #t ((make-node "e" #t ())
(make-node "t" #t ((make-node "t" #f ((make-node "e" #f ((make-node "r" #t ())))))))))))
(make-node "c" #f ((make-node "a" #f ((make-node "t" #t ())))))))
; String w, Trie t -> Boolean
; Determines whether the given word is in the given Trie.
(define (in-trie? w t)
(local [; [String])
(check-expect (in-trie? "cat" example-trie) #t)
(check-expect (in-trie? "ca" example-trie) #f)
(check-expect (in-trie? "catch" example-trie) #f)
(check-expect (in-trie? "better" example-trie) #t)
(check-expect (in-trie? "bee" example-trie) #t)
(check-expect (in-trie? "beee" example-trie) #f)