WXME0108 ## #| This file is in PLT Scheme editor format. Most likely, it was created by saving a program in DrScheme, and it probably contains a program with non-text elements (such as pictures, comment boxes, or test-cases boxes). 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3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 4 #"rest" 0 0 11 3 1 #" " 0 0 11 3 2 #"bs" 0 0 11 3 2 #"))" 0 0 11 3 1 #" " 0 0 11 3 3 #"..." 0 0 11 3 3 #"]))" 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 61 ( #";; same-initials : [Listof String] [Listof String] -> B" #"oolean" ) 0 0 4 29 1 #"\n" 0 0 11 3 79 ( #";; Reports whether respective strings in two lists start with the s" #"ame letters." ) 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"same-initials" 0 0 4 3 1 #" " 0 0 8 3 2 #"as" 0 0 4 3 1 #" " 0 0 8 3 2 #"bs" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 4 #"cond" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 3 #"and" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"empty?" 0 0 4 3 1 #" " 0 0 8 3 2 #"as" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"empty?" 0 0 4 3 1 #" " 0 0 8 3 2 #"bs" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 4 #"true" 0 0 16 3 1 #"]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 3 #"and" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"empty?" 0 0 4 3 1 #" " 0 0 8 3 2 #"as" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"cons?" 0 0 4 3 1 #" " 0 0 8 3 2 #"bs" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"false" 0 0 16 3 1 #"]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 3 #"and" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"cons?" 0 0 4 3 1 #" " 0 0 8 3 2 #"as" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"empty?" 0 0 4 3 1 #" " 0 0 8 3 2 #"bs" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"false" 0 0 16 3 1 #"]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 3 #"and" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"cons?" 0 0 4 3 1 #" " 0 0 8 3 2 #"as" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"cons?" 0 0 4 3 1 #" " 0 0 8 3 2 #"bs" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 5 #" " 0 0 16 3 1 #"(" 0 0 8 3 3 #"and" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 12 #"same-initial" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"first" 0 0 4 3 1 #" " 0 0 8 3 2 #"as" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"first" 0 0 4 3 1 #" " 0 0 8 3 2 #"bs" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 10 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"same-initials" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"rest" 0 0 4 3 1 #" " 0 0 8 3 2 #"as" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"rest" 0 0 4 3 1 #" " 0 0 8 3 2 #"bs" 0 0 16 3 6 #")))]))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 42 #";; same-initial : String String -> Boolean" 0 0 4 29 1 #"\n" 0 0 11 3 58 #";; Reports whether two strings start with the same letter." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 12 #"same-initial" 0 0 4 3 1 #" " 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"char=?" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"string-ref" 0 0 4 3 1 #" " 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 14 3 1 #"0" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"string-ref" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 14 3 1 #"0" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 12 #"same-initial" 0 0 4 3 1 #" " 0 0 13 3 11 #"\"Professor\"" 0 0 4 3 1 #" " 0 0 13 3 8 #"\"Proulx\"" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 4 #"true" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 12 #"same-initial" 0 0 4 3 1 #" " 0 0 13 3 4 #"\"TA\"" 0 0 4 3 1 #" " 0 0 13 3 6 #"\"Carl\"" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"false" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"same-initials" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 4 #"true" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"same-initials" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"foo\"" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"bar\"" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 8 #"\"foobar\"" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"false" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"same-initials" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 8 #"\"foobie\"" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 8 #"\"foobie\"" 0 0 4 3 1 #" " 0 0 13 3 8 #"\"bletch\"" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"false" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"same-initials" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"one\"" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"two\"" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"false" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"same-initials" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 4 #"\"at\"" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"bat\"" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"cat\"" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 4 #"\"an\"" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"ban\"" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"can\"" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 14 #" " 0 0 8 3 4 #"true" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 23 #";; PART 2: Complex Data" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 2 #"#|" 0 0 11 29 1 #"\n" 0 0 11 3 12 #"Problem 1.2:" 0 0 11 29 1 #"\n" 0 0 11 3 72 ( #"Use the data definition for SearchTree below to write the program s" #"earch" ) 0 0 11 29 1 #"\n" 0 0 11 3 74 ( #"which consumes a search tree and a key and produces the list of all" #" values" ) 0 0 11 29 1 #"\n" 0 0 11 3 37 #"associated with that key in the tree." 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 31 #";; A SearchTree (ST) is one of:" 0 0 4 29 1 #"\n" 0 0 11 3 10 #";; - empty" 0 0 4 29 1 #"\n" 0 0 11 3 39 #";; - (make-search-tree ST Key Value ST)" 0 0 4 29 1 #"\n" 0 0 11 3 42 #";; A Key is a Number; a Value is a String." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 13 #"define-struct" 0 0 4 3 1 #" " 0 0 8 3 11 #"search-tree" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"left" 0 0 4 3 1 #" " 0 0 8 3 3 #"key" 0 0 4 3 1 #" " 0 0 8 3 5 #"value" 0 0 4 3 1 #" " 0 0 8 3 5 #"right" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-one" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 16 #"make-search-tree" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 4 3 1 #" " 0 0 14 3 1 #"1" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"one\"" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-uno" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 16 #"make-search-tree" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 4 3 1 #" " 0 0 14 3 1 #"1" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"uno\"" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 8 3 11 #"ST-multiple" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 16 #"make-search-tree" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-one" 0 0 4 3 1 #" " 0 0 14 3 1 #"2" 0 0 4 3 1 #" " 0 0 13 3 6 #"\"zwei\"" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-uno" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 34 #";; process-search-tree : ST -> ???" 0 0 11 29 1 #"\n" 0 0 11 3 40 #";; Template for processing search trees." 0 0 11 29 1 #"\n" 0 0 11 3 1 #"(" 0 0 11 3 6 #"define" 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 19 #"process-search-tree" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 1 #")" 0 0 11 29 1 #"\n" 0 0 11 3 3 #" (" 0 0 11 3 4 #"cond" 0 0 11 29 1 #"\n" 0 0 11 3 4 #" " 0 0 11 3 2 #"[(" 0 0 11 3 6 #"empty?" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 1 #")" 0 0 11 3 1 #" " 0 0 11 3 3 #"..." 0 0 11 3 1 #"]" 0 0 11 29 1 #"\n" 0 0 11 3 4 #" " 0 0 11 3 2 #"[(" 0 0 11 3 12 #"search-tree?" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 1 #")" 0 0 11 29 1 #"\n" 0 0 11 3 5 #" " 0 0 11 3 3 #"..." 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 19 #"process-search-tree" 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 16 #"search-tree-left" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 2 #"))" 0 0 11 3 1 #" " 0 0 11 3 3 #"..." 0 0 11 29 1 #"\n" 0 0 11 3 5 #" " 0 0 11 3 3 #"..." 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 15 #"search-tree-key" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 1 #")" 0 0 11 3 1 #" " 0 0 11 3 3 #"..." 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 17 #"search-tree-value" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 1 #")" 0 0 11 3 1 #" " 0 0 11 3 3 #"..." 0 0 11 29 1 #"\n" 0 0 11 3 5 #" " 0 0 11 3 3 #"..." 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 19 #"process-search-tree" 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 17 #"search-tree-right" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 2 #"))" 0 0 11 3 1 #" " 0 0 11 3 3 #"..." 0 0 11 3 3 #"]))" 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 36 #";; search : Key ST -> [Listof Value]" 0 0 4 29 1 #"\n" 0 0 11 3 57 #";; Finds all values in the Search Tree for the given Key." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"search" 0 0 4 3 1 #" " 0 0 8 3 1 #"k" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 4 #"cond" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 6 #"empty?" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #"]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 12 #"search-tree?" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 5 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"append" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"search" 0 0 4 3 1 #" " 0 0 8 3 1 #"k" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 16 #"search-tree-left" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 13 #" " 0 0 16 3 1 #"(" 0 0 8 3 2 #"if" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 1 #"=" 0 0 4 3 1 #" " 0 0 8 3 1 #"k" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 15 #"search-tree-key" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-value" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 13 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"search" 0 0 4 3 1 #" " 0 0 8 3 1 #"k" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-right" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 6 #")))]))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"search" 0 0 4 3 1 #" " 0 0 14 3 1 #"1" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"search" 0 0 4 3 1 #" " 0 0 14 3 1 #"1" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-one" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"one\"" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"search" 0 0 4 3 1 #" " 0 0 14 3 1 #"2" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-one" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"search" 0 0 4 3 1 #" " 0 0 14 3 1 #"1" 0 0 4 3 1 #" " 0 0 8 3 11 #"ST-multiple" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"one\"" 0 0 4 3 1 #" " 0 0 13 3 5 #"\"uno\"" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 33 #";; PART 3: Designing Abstractions" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 12 #"Problem 3.1:" 0 0 11 29 1 #"\n" 0 0 11 3 68 #"Design the function search-even that produces all values from a tree" 0 0 11 29 1 #"\n" 0 0 11 3 29 #"that have even-numbered keys." 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 37 #";; search-even : ST -> [Listof Value]" 0 0 4 29 1 #"\n" 0 0 11 3 52 #";; Produces all values from the tree with even keys." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-even" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 4 #"cond" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 6 #"empty?" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #"]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 12 #"search-tree?" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 5 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"append" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-even" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 16 #"search-tree-left" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 13 #" " 0 0 16 3 1 #"(" 0 0 8 3 2 #"if" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"even?" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 15 #"search-tree-key" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-value" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 13 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-even" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-right" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 6 #")))]))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-even" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-even" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-uno" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-even" 0 0 4 3 1 #" " 0 0 8 3 11 #"ST-multiple" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 6 #"\"zwei\"" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 12 #"Problem 3.2:" 0 0 11 29 1 #"\n" 0 0 11 3 68 #"Design the function search-long that produces all values from a tree" 0 0 11 29 1 #"\n" 0 0 11 3 34 #"that are longer than 3 characters." 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 37 #";; search-long : ST -> [Listof Value]" 0 0 4 29 1 #"\n" 0 0 11 3 57 #";; Produces all values from the tree of length 4 or more." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-long" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 4 #"cond" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 6 #"empty?" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #"]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 12 #"search-tree?" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 5 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"append" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-long" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 16 #"search-tree-left" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 13 #" " 0 0 16 3 1 #"(" 0 0 8 3 2 #"if" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 2 #">=" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"string-length" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-value" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 14 3 1 #"4" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-value" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 13 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-long" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-right" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 6 #")))]))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-long" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-long" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-one" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"search-long" 0 0 4 3 1 #" " 0 0 8 3 11 #"ST-multiple" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 6 #"\"zwei\"" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 4 #"NOTE" 0 0 11 3 1 #" " 0 0 11 3 3 #"FOR" 0 0 11 3 1 #" " 0 0 11 3 12 #"ABSTRACTION:" 0 0 11 29 1 #"\n" 0 0 11 3 4 #"Only" 0 0 11 3 1 #" " 0 0 11 3 3 #"the" 0 0 11 3 1 #" " 0 0 11 3 5 #"first" 0 0 11 3 1 #" " 0 0 11 3 4 #"line" 0 0 11 3 1 #" " 0 0 11 3 2 #"of" 0 0 11 3 1 #" " 0 0 11 3 3 #"the" 0 0 11 3 1 #" " 0 0 11 3 4 #"\"if\"" 0 0 11 3 1 #" " 0 0 11 3 7 #"differs" 0 0 11 3 1 #" " 0 0 11 3 7 #"between" 0 0 11 3 1 #" " 0 0 11 3 11 #"search-even" 0 0 11 3 1 #" " 0 0 11 3 3 #"and" 0 0 11 3 1 #" " 0 0 11 3 12 #"search-long." 0 0 11 29 1 #"\n" 0 0 11 3 3 #"One" 0 0 11 3 1 #" " 0 0 11 3 5 #"tests" 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 17 #"search-tree-value" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 1 #")" 0 0 11 3 1 #" " 0 0 11 3 5 #"while" 0 0 11 3 1 #" " 0 0 11 3 3 #"the" 0 0 11 3 1 #" " 0 0 11 3 5 #"other" 0 0 11 3 1 #" " 0 0 11 3 5 #"tests" 0 0 11 3 1 #" " 0 0 11 3 1 #"(" 0 0 11 3 15 #"search-tree-key" 0 0 11 3 1 #" " 0 0 11 3 2 #"st" 0 0 11 3 1 #")" 0 0 11 3 1 #"." 0 0 11 29 1 #"\n" 0 0 11 3 3 #"See" 0 0 11 3 1 #" " 0 0 11 3 3 #"the" 0 0 11 3 1 #" " 0 0 11 3 8 #"solution" 0 0 11 3 1 #" " 0 0 11 3 6 #"below:" 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 12 #"Problem 3.3:" 0 0 11 29 1 #"\n" 0 0 11 3 78 ( #"Design the function search-by that abstracts over search-even and s" #"earch-long." ) 0 0 11 29 1 #"\n" 0 0 11 3 70 ( #"Redefine (and test) search-even and search-long in terms of search-" #"by." ) 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 58 ( #";; search-by : ST [Key Value -> Boolean] -> [Listof Value" #"]" ) 0 0 4 29 1 #"\n" 0 0 11 3 57 #";; Produces all values from the tree whose key/value pair" 0 0 4 29 1 #"\n" 0 0 11 3 27 #";; satisfies the predicate." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"search-by" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 4 3 1 #" " 0 0 8 3 9 #"predicate" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 4 #"cond" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 6 #"empty?" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #"]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 12 #"search-tree?" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 5 #" " 0 0 16 3 1 #"(" 0 0 8 3 6 #"append" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"search-by" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 16 #"search-tree-left" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 9 #"predicate" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 13 #" " 0 0 16 3 1 #"(" 0 0 8 3 2 #"if" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"predicate" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 15 #"search-tree-key" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 28 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-value" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-value" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 13 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"search-by" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 17 #"search-tree-right" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 9 #"predicate" 0 0 16 3 5 #"))]))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 40 #";; search-by-even : ST -> [Listof Value]" 0 0 4 29 1 #"\n" 0 0 11 3 52 #";; Produces all values from the tree with even keys." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"search-by-even" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 5 #"local" 0 0 4 3 1 #" " 0 0 16 3 2 #"[(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"even-key?" 0 0 4 3 1 #" " 0 0 8 3 3 #"key" 0 0 4 3 1 #" " 0 0 8 3 5 #"value" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"even?" 0 0 4 3 1 #" " 0 0 8 3 3 #"key" 0 0 16 3 3 #"))]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"search-by" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 4 3 1 #" " 0 0 8 3 9 #"even-key?" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 40 #";; search-by-long : ST -> [Listof Value]" 0 0 4 29 1 #"\n" 0 0 11 3 57 #";; Produces all values from the tree of length 4 or more." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"search-by-long" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 5 #"local" 0 0 4 3 1 #" " 0 0 16 3 2 #"[(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"long-value?" 0 0 4 3 1 #" " 0 0 8 3 3 #"key" 0 0 4 3 1 #" " 0 0 8 3 5 #"value" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 2 #">=" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"string-length" 0 0 4 3 1 #" " 0 0 8 3 5 #"value" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"4" 0 0 16 3 3 #"))]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"search-by" 0 0 4 3 1 #" " 0 0 8 3 2 #"st" 0 0 4 3 1 #" " 0 0 8 3 11 #"long-value?" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"search-by-even" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"search-by-even" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-uno" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"search-by-even" 0 0 4 3 1 #" " 0 0 8 3 11 #"ST-multiple" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 6 #"\"zwei\"" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"search-by-long" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"search-by-long" 0 0 4 3 1 #" " 0 0 8 3 6 #"ST-one" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"search-by-long" 0 0 4 3 1 #" " 0 0 8 3 11 #"ST-multiple" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 13 3 6 #"\"zwei\"" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 29 #";; PART 4: Using Abstractions" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 12 #"Problem 4.1:" 0 0 11 29 1 #"\n" 0 0 11 3 75 ( #"Use a loop to design the function negate-all which produces the opp" #"osite of" ) 0 0 11 29 1 #"\n" 0 0 11 3 79 ( #"each number in a list (negatives become positives; positives become" #" negatives)." ) 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 50 #";; negate-all : [Listof Number] -> [Listof Number]" 0 0 4 29 1 #"\n" 0 0 11 3 40 #";; Produces the opposite of each number." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"negate-all" 0 0 4 3 1 #" " 0 0 8 3 7 #"numbers" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 5 #"local" 0 0 4 3 1 #" " 0 0 16 3 2 #"[(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"negate-one" 0 0 4 3 1 #" " 0 0 8 3 1 #"x" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 1 #"*" 0 0 4 3 1 #" " 0 0 14 3 2 #"-1" 0 0 4 3 1 #" " 0 0 8 3 1 #"x" 0 0 16 3 3 #"))]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 1 #"(" 0 0 8 3 3 #"map" 0 0 4 3 1 #" " 0 0 8 3 10 #"negate-one" 0 0 4 3 1 #" " 0 0 8 3 7 #"numbers" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"negate-all" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"negate-all" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 1 #"4" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 2 #"-4" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"negate-all" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 1 #"7" 0 0 4 3 1 #" " 0 0 14 3 2 #"18" 0 0 4 3 1 #" " 0 0 14 3 2 #"-3" 0 0 4 3 1 #" " 0 0 14 3 1 #"0" 0 0 4 3 1 #" " 0 0 14 3 1 #"4" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 2 #"-7" 0 0 4 3 1 #" " 0 0 14 3 3 #"-18" 0 0 4 3 1 #" " 0 0 14 3 1 #"3" 0 0 4 3 1 #" " 0 0 14 3 1 #"0" 0 0 4 3 1 #" " 0 0 14 3 2 #"-4" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 12 #"Problem 4.2:" 0 0 11 29 1 #"\n" 0 0 11 3 77 ( #"Use a loop to design the function multiplication-table which consum" #"es numbers" ) 0 0 11 29 1 #"\n" 0 0 11 3 75 ( #"x and y and produces a listof lists representing the multiplication" #" of each" ) 0 0 11 29 1 #"\n" 0 0 11 3 25 #"pair from 1 * 1 to x * y." 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 61 ( #";; multiplication-table : Nat Nat -> [Listof [Listof Number" #"]]" ) 0 0 4 29 1 #"\n" 0 0 11 3 70 ( #";; Produces a multiplication table for every pair from 1 * 1 to x *" #" y." ) 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 20 #"multiplication-table" 0 0 4 3 1 #" " 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 8 3 1 #"y" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"build-list" 0 0 4 3 1 #" " 0 0 8 3 1 #"y" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 9 3 6 #"lambda" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 1 #"j" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"build-list" 0 0 4 3 1 #" " 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 9 3 6 #"lambda" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 1 #"i" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 1 #"*" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"add1" 0 0 4 3 1 #" " 0 0 8 3 1 #"i" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"add1" 0 0 4 3 1 #" " 0 0 8 3 1 #"j" 0 0 16 3 7 #")))))))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 20 #"multiplication-table" 0 0 4 3 1 #" " 0 0 14 3 1 #"6" 0 0 4 3 1 #" " 0 0 14 3 1 #"0" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 20 #"multiplication-table" 0 0 4 3 1 #" " 0 0 14 3 1 #"0" 0 0 4 3 1 #" " 0 0 14 3 1 #"5" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 20 #"multiplication-table" 0 0 4 3 1 #" " 0 0 14 3 1 #"6" 0 0 4 3 1 #" " 0 0 14 3 1 #"5" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 14 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 1 #"1" 0 0 4 3 1 #" " 0 0 14 3 1 #"2" 0 0 4 3 1 #" " 0 0 14 3 1 #"3" 0 0 4 3 1 #" " 0 0 14 3 1 #"4" 0 0 4 3 1 #" " 0 0 14 3 1 #"5" 0 0 4 3 1 #" " 0 0 14 3 1 #"6" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 20 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 1 #"2" 0 0 4 3 1 #" " 0 0 14 3 1 #"4" 0 0 4 3 1 #" " 0 0 14 3 1 #"6" 0 0 4 3 1 #" " 0 0 14 3 1 #"8" 0 0 4 3 1 #" " 0 0 14 3 2 #"10" 0 0 4 3 1 #" " 0 0 14 3 2 #"12" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 20 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 1 #"3" 0 0 4 3 1 #" " 0 0 14 3 1 #"6" 0 0 4 3 1 #" " 0 0 14 3 1 #"9" 0 0 4 3 1 #" " 0 0 14 3 2 #"12" 0 0 4 3 1 #" " 0 0 14 3 2 #"15" 0 0 4 3 1 #" " 0 0 14 3 2 #"18" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 20 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 1 #"4" 0 0 4 3 1 #" " 0 0 14 3 1 #"8" 0 0 4 3 1 #" " 0 0 14 3 2 #"12" 0 0 4 3 1 #" " 0 0 14 3 2 #"16" 0 0 4 3 1 #" " 0 0 14 3 2 #"20" 0 0 4 3 1 #" " 0 0 14 3 2 #"24" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 20 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 14 3 1 #"5" 0 0 4 3 1 #" " 0 0 14 3 2 #"10" 0 0 4 3 1 #" " 0 0 14 3 2 #"15" 0 0 4 3 1 #" " 0 0 14 3 2 #"20" 0 0 4 3 1 #" " 0 0 14 3 2 #"25" 0 0 4 3 1 #" " 0 0 14 3 2 #"30" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 23 #";; PART 5: Accumulators" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 12 #"Problem 5.1:" 0 0 11 29 1 #"\n" 0 0 11 3 76 ( #"Use the below data definition for Variables and Terms to design the" #" function" ) 0 0 11 29 1 #"\n" 0 0 11 3 61 #"free-vars that produces the list of free Variables in a Term." 0 0 11 29 1 #"\n" 0 0 11 3 61 #"A free Variable is one that is not inside a function binding." 0 0 11 29 1 #"\n" 0 0 11 3 52 #"(See the provided test cases to see how this works.)" 0 0 11 29 1 #"\n" 0 0 11 3 2 #"|#" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 32 #";; A Variable (Var) is a Symbol." 0 0 4 29 1 #"\n" 0 0 11 3 20 #";; A Term is one of:" 0 0 4 29 1 #"\n" 0 0 11 3 11 #";; - Number" 0 0 4 29 1 #"\n" 0 0 11 3 8 #";; - Var" 0 0 4 29 1 #"\n" 0 0 11 3 34 #";; - (make-function Variable Term)" 0 0 4 29 1 #"\n" 0 0 11 3 28 #";; - (make-invoke Term Term)" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 13 #"define-struct" 0 0 4 3 1 #" " 0 0 8 3 8 #"function" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"bind" 0 0 4 3 1 #" " 0 0 8 3 4 #"body" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 13 #"define-struct" 0 0 4 3 1 #" " 0 0 8 3 6 #"invoke" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 8 #"operator" 0 0 4 3 1 #" " 0 0 8 3 7 #"operand" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 35 #";; free-vars : Term -> [Listof Var]" 0 0 4 29 1 #"\n" 0 0 11 3 51 #";; Reports the list of free variables in a program." 0 0 4 29 1 #"\n" 0 0 11 3 50 #";; A free variable is one not bound by a function." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"free-vars" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 52 #";; free-vars/env : Term [Listof Var] -> [Listof Var]" 0 0 4 29 1 #"\n" 0 0 11 3 51 #";; Reports the list of free variables in a program," 0 0 4 29 1 #"\n" 0 0 11 3 46 #";; excluding any variables in the environment." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 4 3 1 #" " 0 0 8 3 3 #"env" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 4 #"cond" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 7 #"number?" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #"]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 7 #"symbol?" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 2 #"if" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"vars-include?" 0 0 4 3 1 #" " 0 0 8 3 3 #"env" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"list" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 3 #"))]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 9 #"function?" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 5 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"function-body" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 8 #"vars-add" 0 0 4 3 1 #" " 0 0 8 3 3 #"env" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"function-bind" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 4 #")))]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 2 #"[(" 0 0 8 3 7 #"invoke?" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 5 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"vars-union" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 15 #"invoke-operator" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 3 #"env" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 17 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 14 #"invoke-operand" 0 0 4 3 1 #" " 0 0 8 3 4 #"term" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 3 #"env" 0 0 16 3 5 #"))]))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 46 #";; vars-include? : [Listof Var] Var -> Boolean" 0 0 4 29 1 #"\n" 0 0 11 3 50 #";; Reports whether the list includes the variable." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"vars-include?" 0 0 4 3 1 #" " 0 0 8 3 2 #"vs" 0 0 4 3 1 #" " 0 0 8 3 1 #"v" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 5 #"local" 0 0 4 3 1 #" " 0 0 16 3 2 #"[(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"same-var?" 0 0 4 3 1 #" " 0 0 8 3 2 #"v*" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 8 #"symbol=?" 0 0 4 3 1 #" " 0 0 8 3 2 #"v*" 0 0 4 3 1 #" " 0 0 8 3 1 #"v" 0 0 16 3 3 #"))]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"ormap" 0 0 4 3 1 #" " 0 0 8 3 9 #"same-var?" 0 0 4 3 1 #" " 0 0 8 3 2 #"vs" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 46 #";; vars-add : [Listof Var] Var -> [Listof Var]" 0 0 4 29 1 #"\n" 0 0 11 3 31 #";; Adds a variable to the list." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 8 #"vars-add" 0 0 4 3 1 #" " 0 0 8 3 2 #"vs" 0 0 4 3 1 #" " 0 0 8 3 1 #"v" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 8 3 2 #"if" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"vars-include?" 0 0 4 3 1 #" " 0 0 8 3 2 #"vs" 0 0 4 3 1 #" " 0 0 8 3 1 #"v" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 2 #"vs" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 4 #"cons" 0 0 4 3 1 #" " 0 0 8 3 1 #"v" 0 0 4 3 1 #" " 0 0 8 3 2 #"vs" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 57 ( #";; vars-union : [Listof Var] [Listof Var] -> [Listof" #" Var]" ) 0 0 4 29 1 #"\n" 0 0 11 3 51 #";; Creates a list of all variables in either input." 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"vars-union" 0 0 4 3 1 #" " 0 0 8 3 3 #"vs1" 0 0 4 3 1 #" " 0 0 8 3 3 #"vs2" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 3 2 #" " 0 0 16 3 1 #"(" 0 0 9 3 5 #"local" 0 0 4 3 1 #" " 0 0 16 3 2 #"[(" 0 0 9 3 6 #"define" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 7 #"add-var" 0 0 4 3 1 #" " 0 0 8 3 1 #"v" 0 0 4 3 1 #" " 0 0 8 3 2 #"vs" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 8 #"vars-add" 0 0 4 3 1 #" " 0 0 8 3 2 #"vs" 0 0 4 3 1 #" " 0 0 8 3 1 #"v" 0 0 16 3 3 #"))]" 0 0 4 29 1 #"\n" 0 0 4 3 4 #" " 0 0 16 3 1 #"(" 0 0 8 3 5 #"foldr" 0 0 4 3 1 #" " 0 0 8 3 7 #"add-var" 0 0 4 3 1 #" " 0 0 8 3 3 #"vs2" 0 0 4 3 1 #" " 0 0 8 3 3 #"vs1" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"vars-include?" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"a" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 4 #"true" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"vars-include?" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"false" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 8 #"vars-add" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"b" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 8 #"vars-add" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 10 #"vars-union" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"c" 0 0 4 3 1 #" " 0 0 8 3 1 #"d" 0 0 4 3 1 #" " 0 0 8 3 1 #"e" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 4 3 1 #" " 0 0 8 3 1 #"d" 0 0 4 3 1 #" " 0 0 8 3 1 #"e" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 14 3 2 #"10" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"a" 0 0 4 3 1 #" " 0 0 8 3 1 #"b" 0 0 4 3 1 #" " 0 0 8 3 1 #"c" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"x" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 8 3 1 #"y" 0 0 4 3 1 #" " 0 0 8 3 1 #"z" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"make-function" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"y" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"y" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"free-vars/env" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"make-invoke" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"y" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"x" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"y" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"free-vars" 0 0 4 3 1 #" " 0 0 14 3 2 #"10" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"free-vars" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"x" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"free-vars" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"make-function" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 8 3 5 #"empty" 0 0 16 3 1 #")" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"free-vars" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"make-invoke" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"y" 0 0 16 3 2 #"))" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 8 3 1 #"y" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 16 3 1 #"(" 0 0 8 3 12 #"check-expect" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 9 #"free-vars" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"make-function" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"x" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 11 #"make-invoke" 0 0 4 3 1 #" " 0 0 16 3 1 #"(" 0 0 8 3 13 #"make-function" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"y" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"z" 0 0 16 3 1 #")" 0 0 4 3 1 #" " 0 0 14 3 1 #"'" 0 0 8 3 1 #"y" 0 0 16 3 3 #")))" 0 0 4 29 1 #"\n" 0 0 4 3 14 #" " 0 0 14 3 1 #"'" 0 0 16 3 1 #"(" 0 0 8 3 1 #"z" 0 0 4 3 1 #" " 0 0 8 3 1 #"y" 0 0 16 3 2 #"))" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 31 #";; PART 6: Generative Recursion" 0 0 4 29 1 #"\n" 0 0 4 29 1 #"\n" 0 0 11 3 1 #"#" 0 0 11 3 1 #"|" 0 0 11 29 1 #"\n" 0 0 11 3 12 #"Problem 6.1:" 0 0 11 29 1 #"\n" 0 0 11 3 5 #"Write" 0 0 11 3 1 #" " 0 0 11 3 1 #"a" 0 0 11 3 1 #" " 0 0 11 3 7 #"program" 0 0 11 3 1 #" " 0 0 11 3 2 #"to" 0 0 11 3 1 #" " 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