From 4668c491df2dfc379fc9d874b2369676e88b470b Mon Sep 17 00:00:00 2001 From: AirFusion Date: Sun, 27 Oct 2024 22:39:37 -0700 Subject: [PATCH 1/3] mentor11 --- Makefile | 4 +- made/mentor11.pdf | Bin 0 -> 136058 bytes made/mentor11.py | 322 +++++++++++++++++++++++++++++++++++ made/mentor11_meta.pdf | Bin 0 -> 196739 bytes made/mentor11_sol.pdf | Bin 0 -> 185579 bytes made/mentor11_sol.py | 192 +++++++++++++++++++++ src/fa24/mentor11.tex | 92 ++++++++++ topics/hof/hard/compound.tex | 5 + 8 files changed, 613 insertions(+), 2 deletions(-) create mode 100644 made/mentor11.pdf create mode 100644 made/mentor11.py create mode 100644 made/mentor11_meta.pdf create mode 100644 made/mentor11_sol.pdf create mode 100644 made/mentor11_sol.py create mode 100644 src/fa24/mentor11.tex diff --git a/Makefile b/Makefile index caaf0176..bffde837 100644 --- a/Makefile +++ b/Makefile @@ -1,8 +1,8 @@ # You should only have to modify RELEASED and SOLUTIONS. # Also change SRC once per semester. -RELEASED = 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combine_two(lnk1, add) + Link(3, Link(7)) + >>> lnk2 = Link(2, Link(4, Link(6))) + >>> combine_two(lnk2, mul) + Link(8, Link(6)) + """ + if ______________________________________: + + return ______________________________ + + elif ____________________________________ + + return ______________________________ + + combined = ______________________________ + + return __________________________________ + + +def middle_node(lst): + """ + >>> head = Link(1, Link(2, Link(3, Link(4, Link(5))))) + >>> middle_node(head) + Link(3, Link(4, Link(5))) # The middle node of the list is node 3 + >>> head = Link(1, Link(2, Link(3, Link(4, Link(5, Link(6)))))) + Link(4, Link(5, Link(6))) # Since the list has two middle nodes with values 3 and 4, we return the second one + """ + list_iter, middle = _______________, ________________ + + length = _________________________________ + + while _________________________________: + + length = _________________________________ + + list_iter = _________________________________ + + for _________________________________: + + middle = _________________________________ + + if length % 2 == 1: + + middle = _________________________________ + + return middle + +def middle_node(lst): + + list_iter, middle = _______________, ________________ + + while ___________________ and ___________________: + + list_iter = _________________________________ + + middle = _________________________________ + + return middle + + + + def insert_all(s, x, index): + """ + >>> insert = Link(3, Link(4)) + >>> original = Link(1, Link(2, Link(5))) + >>> insert_all(original, insert, 2) + Link(1, Link(2, Link(3, Link(4, Link(5))))) + >>> start = Link(1) + >>> insert_all(original, start, 0) + Link(1, Link(1, Link(2, Link(5)))) + """ + if ___________________ and ___________________: + + ___________________________________________ + + if ___________________ and ___________________: + + ___________________________________________ + + _______________________________________________ + + + +def delete_path_duplicates(t): + """ + >>> t = Tree(1, [Tree(2, [Tree(1), Tree(1)])]) + >>> delete_path_duplicates(t) + >>> t + Tree(1, [Tree(2, [Tree(-1), Tree(-1)])]) + >>> t2 = Tree(1, [Tree(2), Tree(2, [Tree(2, [Tree(1, [Tree(5)])])])]) + >>> delete_path_duplicates(t2) + >>> t2 + Tree(1, [Tree(2), Tree(2, [Tree(-1, [Tree(-1, [Tree(5)])])])]) + """ + def helper(_______________, _______________): + + if ________________________________: + + ________________________________ + + else: + + ________________________________ + + for _______ in ____________________: + + ________________________________ + + ________________________________________ + + + +def replace_leaves_sum(t): + """ + >>> t = Tree(1, [Tree(3, [Tree(2), Tree(8)]), Tree(5)]) + >>> replace_leaves_sum(t) + >>> t + Tree(1, [Tree(3, [Tree(6), Tree(12)]), Tree(6)]) + """ + def helper(______________ , _________________): + + if t.is_leaf(): + + _____________________________________ + + for b in t.branches: + + _________________________________ + + _____________________________________________ + + +def contains_n(elem, n, t): + """ + >>> t1 = Tree(1, [Tree(1, [Tree(2)])]) + >>> contains_n(1, 2, t1) + True + >>> contains_n(2, 2, t1) + False + >>> contains_n(2, 1, t1) + True + >>> t2 = Tree(1, [Tree(2), Tree(1, [Tree(1), Tree(2)])]) + >>> contains_n(1, 3, t2) + True + >>> contains_n(2, 2, t2) # Not on a path + False + """ + if n == 0: + + return True + + elif ___________________________________________: + + return _____________________________________ + + elif ___________________________________________: + + return _____________________________________ + + else: + + return _____________________________________ + + +def make_digit_remover(i): + """ + >>> remove_two = make_digit_remover(2) + >>> remove_two(232018) + 23 + >>> remove_two(23) + 0 + >>> remove_two(99) + 99 + """ + def remove(_______): + + removed = _______________________ + + while _______________________ > 0: + + _____________________________ + + removed = removed // 10 + + if __________________________: + + _________________________ + + return __________________________ + + return __________________________ + + +def compound(base_func, prev_compound=lambda x: x): + """ + >>> add_one = lambda x: x + 1 + >>> adder = compound(add_one) + >>> adder = adder(3, 2) + 3 # 3 + 4 # f(3) + >>> adder = adder(4, 4) + 6 # f(f(4)) + 7 # f(f(f(4))) + 8 # f(f(f(f(4)))) + 9 # f(f(f(f(f(4))))) + """ + def g(x, n): + new_comp = ____________________________ + + while n > 0: + print(____________________________) + + new_comp = (lambda save_comp: \ + _______________________)(____________) + + ___________________________________________________ + + return ______________________________________________ + + return ___________________________________ + + +>>> violet = [7, 77, 17] +>>> violet.append([violet.pop(1)]) + +>>> dash = violet * 2 +>>> jack = dash[3:5] +>>> jackjack = jack.extend(jack) + +>>> helen = list(violet) +>>> helen += [jackjack] +>>> helen[2].append(violet) + + +def duplicate_list(lst): + """ + >>> duplicate_list([1, 2, 3]) + [1, 2, 2, 3, 3, 3] + >>> duplicate_list([5]) + [5, 5, 5, 5, 5] + """ + _______________________________ + + for ____________________________: + + for ____________________________: + + __________________________________ + + _______________________________ + + + +def add_up(n, lst): + """ + >>> add_up(10, [1, 2, 3, 4, 5]) + True + >>> add_up(8, [2, 1, 5, 4, 3]) + True + >>> add_up(-1, [1, 2, 3, 4, 5]) + False + >>> add_up(100, [1, 2, 3, 4, 5]) + False + """ + if __________________________________________: + + return True + + if lst == []: + + ____________________________________________________ + + else: + + first, rest = ___________________, ___________________ + + return __________________________________________ + + +def num_elems(lst): + """ + >>> list(num_elems([3, 3, 2, 1])) + [4] + >>> 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ziy6rP^-`|8UzOz_o1bIk@B9B|W%V|#pCt0?WbPR83FZS}%>J*nsiTt#(8&$d+J$H3 QVdvuEf~N${>> a = Link(1, Link(2, Link(3))) ++---+---+ +---+---+ +---+---+ +| 1 | --|->| 2 | --|->| 3 | / | ++---+---+ +---+---+ +---+---+ +>>> a.first +1 +>>> a.first = 5 ++---+---+ +---+---+ +---+---+ +| 5 | --|->| 2 | --|->| 3 | / | ++---+---+ +---+---+ +---+---+ +>>> a.first +>>> a.rest.first +>>> a.rest.rest.rest.rest.first +>>> a.rest.rest.rest = a + +---+---+ +---+---+ +---+---+ ++->| 5 | --|->| 2 | --|->| 3 | --|--+ +| +---+---+ +---+---+ +---+---+ | +| | ++-----------------------------------+ +>>> a.rest.rest.rest.rest.first +2 +>>> repr(Link(1, Link(2, Link(3, Link.empty)))) +"Link(1, Link(2, Link(3)))" +>>> Link(1, Link(2, Link(3, Link.empty))) +Link(1, Link(2, Link(3))) +>>> str(Link(1, Link(2, Link(3)))) +'<1 2 3>' +>>> print(Link(Link(1), Link(2, Link(3)))) +<<1> 2 3> + + +def combine_two(lnk, fn): + if lnk is Link.empty: + return Link.empty + elif lnk.rest is Link.empty: + return Link(lnk.first) + combined = fn(lnk.first, lnk.rest.first) + return Link(combined, combine_two(lnk.rest.rest, fn)) + + +def middle_node(lst): + list_iter, middle = lst, lst + length = 0 + + while list_iter: + length = length + 1 + list_iter = list_iter.rest + + for i in range(length // 2): + middle = middle.rest + + if length % 2 == 1: + middle = middle.rest + + return middle +def middle_node(lst): + list_iter, middle = lst, lst + + while list_iter and list_iter.rest: + list_iter = list_iter.rest.rest + middle = list_iter.rest + + return middle + + + def insert_all(s, x, index): + """ + >>> insert = Link(3, Link(4)) + >>> original = Link(1, Link(2, Link(5))) + >>> insert_all(original, insert, 2) + Link(1, Link(2, Link(3, Link(4, Link(5))))) + >>> start = Link(1) + >>> insert_all(original, start, 0) + Link(1, Link(1, Link(2, Link(5)))) + >>> insert_all(original, insert, 3) + Link(1, Link(2, Link(5, Link(3, Link(4))))) + """ + if s is Link.empty and x is Link.empty: + return Link.empty + if x is not Link.empty and index == 0: + return Link(x.first, insert_all(s, x.rest, 0)) + return Link(s.first, insert_all(s.rest, x, index - 1)) + + + def helper(t, seen_so_far): + if t.label in seen_so_far: + t.label = -1 + else: + seen_so_far = seen_so_far + [t.label] + for b in t.branches: + helper(b, seen_so_far) + return helper(t, []) + + +def replace_leaves_sum(t): + def helper(t, total): + if t.is_leaf(): + t.label = total + t.label + else: + for b in t.branches: + helper(b, total + t.label) + helper(t, 0) + + + if n == 0: + return True + elif t.is_leaf(): + return n == 1 and t.label == elem + elif t.label == elem: + return any([contains_n(elem, n - 1, b) for b in + t.branches]) + else: + return any([contains_n(elem, n, b) for b in + t.branches]) + + +def make_digit_remover(i): + def remove(n): + removed = n + while removed > 0: + digit = removed % 10 + removed = removed // 10 + if digit == i: + return removed + return n + return remove + + +def compound(base_func, prev_compound=lambda x : x): + def g(x, n): + new_comp = prev_compound + while n > 0: + print(new_comp(x)) + new_comp = (lambda save_comp: \ + lambda x: base_func(save_comp(x)))(new_comp) + n -= 1 + return compound(base_func, new_comp) + return g + + +>>> violet = [7, 77, 17] +>>> violet.append([violet.pop(1)]) + +>>> dash = violet * 2 +>>> jack = dash[3:5] +>>> jackjack = jack.extend(jack) + +>>> helen = list(violet) +>>> helen += [jackjack] +>>> helen[2].append(violet) + + +new_list = [] +for x in lst: + for i in range(x): + new_list = new_list + [x] +return new_list + + +def add_up(n, lst): + """ + >>> add_up(10, [1, 2, 3, 4, 5]) + True + >>> add_up(8, [2, 1, 5, 4, 3]) + True + >>> add_up(-1, [1, 2, 3, 4, 5]) + False + >>> add_up(100, [1, 2, 3, 4, 5]) + False + """ + if n == 0: + return True + if lst == []: + return False + else: + first, rest = lst[0], lst[1:] + return add_up(n - first, rest) or add_up(n, rest) + + + +def num_elems(lst): + count = 0 + for elem in lst: + if isinstance(elem, list): + for c in num_elems(elem): + yield c + count += c + else: + count += 1 + yield count + + diff --git a/src/fa24/mentor11.tex b/src/fa24/mentor11.tex new file mode 100644 index 00000000..c148d2b9 --- /dev/null +++ b/src/fa24/mentor11.tex @@ -0,0 +1,92 @@ +\documentclass{exam} +\usepackage{../commonheader} + +\discnumber{9} +\title{\textsc{Linked Lists, Mutable Trees and Midterm Review}} +\date{October 28 -- November 1, 2024} + +\begin{document} +\maketitle +\begin{guide} + \textbf{Recommended Timeline} + \begin{itemize} + \item Linked Lists Mini-Lecture: 5 min + \item Linked Lists Problems {\begin{itemize} + \item WWPD - Easy + \item Combine Two - Medium + \item Middle Node - Medium + \item Insert At - Hard + \end{itemize}} + \item Trees (Class) Mini-Lecture / Overview: 5 min + \item Trees (Class) Problems {\begin{itemize} + \item Delete Path Duplicates - Medium + \item Replace Leaves Sum - Medium + \item Tulip Mania - Medium + \item Contains N - Hard + \end{itemize}} + \item Higher Order Functions Problems {\begin{itemize} + \item Make Digit Remover - Medium + \item Compound - Hard + \end{itemize}} + \item Lists / Mutable Lists Problems {\begin{itemize} + \item Incredibles - Medium + \item Duplicate List - Medium + \item Add Up - Medium + \end{itemize}} + \item Iterators \& Generators {\begin{itemize} + \item Num Elems - Medium + \end{itemize}} + \end{itemize} + +\begin{meta} + This is a very long worksheet -- It essentially acts as a MT2 review problem bank. The topics will also not only be limited to Linked Lists \& Mutable Trees. + Feel free to ignore the bulk of these problems during your section. This worksheet is more of a resource for the student than teaching material (tbh). +\end{meta} +\end{guide} + + +\section{Linked Lists} +\subimport{../../topics/linked-lists/class/text/}{implementation.tex} +\subimport{../../topics/linked-lists/class/text/}{linked_list_overview.tex} + +\begin{questions} + \subimport{../../topics/linked-lists/class/easy/}{wwpd.tex} + \subimport{../../topics/linked-lists/class/medium/}{combine-two.tex} + \subimport{../../topics/linked-lists/class/hard/}{middle-node.tex} + \newpage + \subimport{../../topics/linked-lists/class/hard/}{insert-at.tex} +\end{questions} +\newpage + +\section{Trees} + \subimport{../../topics/trees/class/text/}{implementation.tex} + \subimport{../../topics/trees/class/text/}{adt_vs_class_overview.tex} +\newpage +\begin{questions} + \subimport{../../topics/trees/class/medium/}{delete-path-duplicates.tex} + \newpage + \subimport{../../topics/trees/class/medium/}{replace-leaves-sum.tex} + \newpage + \subimport{../../topics/trees/class/hard/}{contains-n.tex} +\end{questions} + +\section{Higher Order Functions} +\begin{questions} + \subimport{../../topics/hof/medium/}{make-digit-remover.tex} + \subimport{../../topics/hof/hard}{compound.tex} +\end{questions} + +\section{Lists} +\begin{questions} + \subimport{../../topics/lists/mutable/medium/}{incredibles.tex} + \subimport{../../topics/lists/immutable/medium}{duplicate-list.tex} + \subimport{../../topics/recursion/medium/}{add-up.tex} +\end{questions} + +\newpage +\section{Iterators and Generators} +\begin{questions} + \subimport{../../topics/generators/medium/}{num-elems.tex} +\end{questions} + +\end{document} \ No newline at end of file diff --git a/topics/hof/hard/compound.tex b/topics/hof/hard/compound.tex index e70cdb19..e32e7a3c 100644 --- a/topics/hof/hard/compound.tex +++ b/topics/hof/hard/compound.tex @@ -20,12 +20,17 @@ """ def g(x, n): new_comp = ____________________________ + while n > 0: print(____________________________) + new_comp = (lambda save_comp: \ _______________________)(____________) + ___________________________________________________ + return ______________________________________________ + return ___________________________________ \end{lstlisting} From d4f4c68d75842ec66053fdea86fe6cffaba97bfc Mon Sep 17 00:00:00 2001 From: AirFusion Date: Thu, 31 Oct 2024 07:02:32 -0700 Subject: [PATCH 2/3] update mentor 11 --- made/mentor11.pdf | Bin 136058 -> 131946 bytes made/mentor11.py | 346 +++++++---------------------------------- made/mentor11_meta.pdf | Bin 196739 -> 141082 bytes made/mentor11_sol.pdf | Bin 185579 -> 136686 bytes made/mentor11_sol.py | 291 +++++++++++++--------------------- src/fa24/mentor11.tex | 86 ++-------- 6 files changed, 179 insertions(+), 544 deletions(-) diff --git a/made/mentor11.pdf b/made/mentor11.pdf index f4c807ae3217a935f3ee2716bc30bbb960cd642d..2e37c59a3b83f9e6e871a7edd4aea23d59c0e00f 100644 GIT binary patch delta 117103 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--|->| 2 | --|->| 3 | / | -+---+---+ +---+---+ +---+---+ ->>> a.first +(if (/ 1 0) 1 0) +Error: Zero Division +(if 1 1 (/ 1 0)) 1 ->>> a.first = 5 -+---+---+ +---+---+ +---+---+ -| 5 | --|->| 2 | --|->| 3 | / | -+---+---+ +---+---+ +---+---+ ->>> a.first ->>> a.rest.first ->>> a.rest.rest.rest.rest.first ->>> a.rest.rest.rest = a - +---+---+ +---+---+ +---+---+ -+->| 5 | --|->| 2 | --|->| 3 | --|--+ -| +---+---+ +---+---+ +---+---+ | -| | -+-----------------------------------+ ->>> a.rest.rest.rest.rest.first +(if 0 (/ 1 0) 1) +Error: Zero Division +(and 1 #f (/ 1 0)) +#f +(and 1 2 3) +3 +(or #f #f 0 #f (/ 1 0)) +0 +(or #f #f (/ 1 0) 3 4) +Error: Zero Division +(and (and) (or)) +#f + + + scm> (if 2 3 4) + scm> (if 0 3 4) + scm> (- 5 (if #f 3 4)) + scm> (cond ((< -5 -7) 3) + (else 4)) + + +scm> (define c 2) +c +scm> (eval 'c) 2 ->>> repr(Link(1, Link(2, Link(3, Link.empty)))) -"Link(1, Link(2, Link(3)))" ->>> Link(1, Link(2, Link(3, Link.empty))) -Link(1, Link(2, Link(3))) ->>> str(Link(1, Link(2, Link(3)))) -'<1 2 3>' ->>> print(Link(Link(1), Link(2, Link(3)))) -<<1> 2 3> - - -def combine_two(lnk, fn): - if lnk is Link.empty: - return Link.empty - elif lnk.rest is Link.empty: - return Link(lnk.first) - combined = fn(lnk.first, lnk.rest.first) - return Link(combined, combine_two(lnk.rest.rest, fn)) - - -def middle_node(lst): - list_iter, middle = lst, lst - length = 0 - - while list_iter: - length = length + 1 - list_iter = list_iter.rest - - for i in range(length // 2): - middle = middle.rest - - if length % 2 == 1: - middle = middle.rest - - return middle -def middle_node(lst): - list_iter, middle = lst, lst - - while list_iter and list_iter.rest: - list_iter = list_iter.rest.rest - middle = list_iter.rest - - return middle - - - def insert_all(s, x, index): - """ - >>> insert = Link(3, Link(4)) - >>> original = Link(1, Link(2, Link(5))) - >>> insert_all(original, insert, 2) - Link(1, Link(2, Link(3, Link(4, Link(5))))) - >>> start = Link(1) - >>> insert_all(original, start, 0) - Link(1, Link(1, Link(2, Link(5)))) - >>> insert_all(original, insert, 3) - Link(1, Link(2, Link(5, Link(3, Link(4))))) - """ - if s is Link.empty and x is Link.empty: - return Link.empty - if x is not Link.empty and index == 0: - return Link(x.first, insert_all(s, x.rest, 0)) - return Link(s.first, insert_all(s.rest, x, index - 1)) - - - def helper(t, seen_so_far): - if t.label in seen_so_far: - t.label = -1 - else: - seen_so_far = seen_so_far + [t.label] - for b in t.branches: - helper(b, seen_so_far) - return helper(t, []) - - -def replace_leaves_sum(t): - def helper(t, total): - if t.is_leaf(): - t.label = total + t.label - else: - for b in t.branches: - helper(b, total + t.label) - helper(t, 0) +scm> '(cons 1 nil) +(cons 1 nil) +scm> (eval '(cons 1 nil)) +(1) +scm> (eval (list 'if '(even? c) 1 2)) +1 +; The hailstone sequence starting at seed = 10 would be +; 10 => 5 => 16 => 8 => 4 => 2 => 1 + +; Doctests +> (hailstone 10 0) +10 +> (hailstone 10 1) +5 +> (hailstone 10 2) +16 +> (hailstone 5 1) +16 + +(define (hailstone seed n) + + + + + + + + + + +) +(define (hailstone seed n) + (if (= n 0) + seed + (if (= 0 (remainder seed 2)) + (hailstone + (quotient seed 2) + (- n 1)) + (hailstone + (+ 1 (* seed 3)) + (- n 1))))) + +; Alternative solution with cond + +(define (hailstone seed n) + (cond + ((= n 0) seed) + ((= 0 (remainder seed 2)) + (hailstone + (quotient seed 2) + (- n 1))) + (else + (hailstone + (+ 1 (* seed 3)) + (- n 1))))) +def hailstone(seed, n): if n == 0: - return True - elif t.is_leaf(): - return n == 1 and t.label == elem - elif t.label == elem: - return any([contains_n(elem, n - 1, b) for b in - t.branches]) - else: - return any([contains_n(elem, n, b) for b in - t.branches]) - - -def make_digit_remover(i): - def remove(n): - removed = n - while removed > 0: - digit = removed % 10 - removed = removed // 10 - if digit == i: - return removed - return n - return remove - - -def compound(base_func, prev_compound=lambda x : x): - def g(x, n): - new_comp = prev_compound - while n > 0: - print(new_comp(x)) - new_comp = (lambda save_comp: \ - lambda x: base_func(save_comp(x)))(new_comp) - n -= 1 - return compound(base_func, new_comp) - return g - - ->>> violet = [7, 77, 17] ->>> violet.append([violet.pop(1)]) - ->>> dash = violet * 2 ->>> jack = dash[3:5] ->>> jackjack = jack.extend(jack) - ->>> helen = list(violet) ->>> helen += [jackjack] ->>> helen[2].append(violet) - - -new_list = [] -for x in lst: - for i in range(x): - new_list = new_list + [x] -return new_list - - -def add_up(n, lst): - """ - >>> add_up(10, [1, 2, 3, 4, 5]) - True - >>> add_up(8, [2, 1, 5, 4, 3]) - True - >>> add_up(-1, [1, 2, 3, 4, 5]) - False - >>> add_up(100, [1, 2, 3, 4, 5]) - False - """ - if n == 0: - return True - if lst == []: - return False + return seed + if seed % 2 == 0: + return hailstone(seed//2, n - 1) else: - first, rest = lst[0], lst[1:] - return add_up(n - first, rest) or add_up(n, rest) + return hailstone(3*seed + 1, n - 1) + + + True or False: 3.14 is an atomic expression. + True or False: pi is an atomic expression. + True or False: - is an atomic expression. + True or False: // is an atomic expression. + True or False: 'b' is an atomic expression. + True or False: "is this atomic?" is an atomic expression. + + + scm> (+ 1 (* 3 4)) + scm> (* 1 (+ 3 4)) + scm> (/ 2) + scm> (- 2) + scm> (* 4 (+ 3 (- 2 (/ 1)))) + + scm> (if 2 3 4) + scm> (if 0 3 4) + scm> (- 5 (if #f 3 4)) + scm> (cond ((< -5 -7) 3) + (else 4)) -def num_elems(lst): - count = 0 - for elem in lst: - if isinstance(elem, list): - for c in num_elems(elem): - yield c - count += c - else: - count += 1 - yield count + scm> (and #t (= 3 3) (> (- 61 42) (+ 61 42))) + scm> (or #f (< 3 3) (< (- 61 42) (+ 61 42))) diff --git a/src/fa24/mentor11.tex b/src/fa24/mentor11.tex index c148d2b9..e2ad7d19 100644 --- a/src/fa24/mentor11.tex +++ b/src/fa24/mentor11.tex @@ -1,92 +1,36 @@ \documentclass{exam} \usepackage{../commonheader} +\lstset{language=Scheme} \discnumber{9} -\title{\textsc{Linked Lists, Mutable Trees and Midterm Review}} -\date{October 28 -- November 1, 2024} +\title{\textsc{Introduction to Scheme}} +\date{November 4 -- November 8, 2024} \begin{document} \maketitle \begin{guide} \textbf{Recommended Timeline} \begin{itemize} - \item Linked Lists Mini-Lecture: 5 min - \item Linked Lists Problems {\begin{itemize} - \item WWPD - Easy - \item Combine Two - Medium - \item Middle Node - Medium - \item Insert At - Hard - \end{itemize}} - \item Trees (Class) Mini-Lecture / Overview: 5 min - \item Trees (Class) Problems {\begin{itemize} - \item Delete Path Duplicates - Medium - \item Replace Leaves Sum - Medium - \item Tulip Mania - Medium - \item Contains N - Hard - \end{itemize}} - \item Higher Order Functions Problems {\begin{itemize} - \item Make Digit Remover - Medium - \item Compound - Hard - \end{itemize}} - \item Lists / Mutable Lists Problems {\begin{itemize} - \item Incredibles - Medium - \item Duplicate List - Medium - \item Add Up - Medium - \end{itemize}} - \item Iterators \& Generators {\begin{itemize} - \item Num Elems - Medium - \end{itemize}} + \item Scheme Mini-Lecture: 10-15 mins + \item WWSD: 10-15 mins + \item Hailstone: 10 mins \end{itemize} \begin{meta} - This is a very long worksheet -- It essentially acts as a MT2 review problem bank. The topics will also not only be limited to Linked Lists \& Mutable Trees. - Feel free to ignore the bulk of these problems during your section. This worksheet is more of a resource for the student than teaching material (tbh). + Since it was midterm week and students basically have not had lecture, this worksheet is going just be a short intro to scheme. + + Monday sections students will just have had lecture and may not have completely covered all topics on this worksheets so go slow as you need. There is plenty of time allocated in the worksheet for going slow. \end{meta} \end{guide} -\section{Linked Lists} -\subimport{../../topics/linked-lists/class/text/}{implementation.tex} -\subimport{../../topics/linked-lists/class/text/}{linked_list_overview.tex} - -\begin{questions} - \subimport{../../topics/linked-lists/class/easy/}{wwpd.tex} - \subimport{../../topics/linked-lists/class/medium/}{combine-two.tex} - \subimport{../../topics/linked-lists/class/hard/}{middle-node.tex} - \newpage - \subimport{../../topics/linked-lists/class/hard/}{insert-at.tex} -\end{questions} -\newpage - -\section{Trees} - \subimport{../../topics/trees/class/text/}{implementation.tex} - \subimport{../../topics/trees/class/text/}{adt_vs_class_overview.tex} -\newpage -\begin{questions} - \subimport{../../topics/trees/class/medium/}{delete-path-duplicates.tex} - \newpage - \subimport{../../topics/trees/class/medium/}{replace-leaves-sum.tex} - \newpage - \subimport{../../topics/trees/class/hard/}{contains-n.tex} -\end{questions} - -\section{Higher Order Functions} -\begin{questions} - \subimport{../../topics/hof/medium/}{make-digit-remover.tex} - \subimport{../../topics/hof/hard}{compound.tex} -\end{questions} - -\section{Lists} -\begin{questions} - \subimport{../../topics/lists/mutable/medium/}{incredibles.tex} - \subimport{../../topics/lists/immutable/medium}{duplicate-list.tex} - \subimport{../../topics/recursion/medium/}{add-up.tex} -\end{questions} - -\newpage -\section{Iterators and Generators} +\section{Scheme} +\subimport{../../topics/scheme/text/}{scheme-guided-overview.tex} \begin{questions} - \subimport{../../topics/generators/medium/}{num-elems.tex} + \subimport{../../topics/scheme/easy/wwsd/}{if-and-or.tex} + \subimport{../../topics/scheme/easy/wwsd/}{if-cond-wwsd.tex} + \subimport{../../topics/scheme/easy/wwsd/}{define-eval.tex} + \subimport{../../topics/scheme/easy/}{hailstone.tex} \end{questions} \end{document} \ No 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\subimport{../../topics/scheme/text/}{scheme-guided-overview.tex} \begin{questions} \subimport{../../topics/scheme/easy/wwsd/}{if-and-or.tex} - \subimport{../../topics/scheme/easy/wwsd/}{if-cond-wwsd.tex} \subimport{../../topics/scheme/easy/wwsd/}{define-eval.tex} \subimport{../../topics/scheme/easy/}{hailstone.tex} \end{questions}

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zAUmmOEiD+ID)9B-$$Rb+|4%#}YR$nAwWVY#)}6b-G9HreJ-XDw<)YS}|%9hLLl^>yU9*LBZX?Is+BKl|1ZQ85m!1mjMR*C=acsihan zi_${~fEeislqy(|68(RGUt6gkv=2Z24Rs*8|9b#cb>ov&+T*;dN)&mI1{7DgFg|p$ zl-IDo@Lv#<*BP&%&IP99w9I_&;8R*$vnr*n`ca{<>BS+xn=}e)pH#VgBiN&1#O5 z$JgE(_7+BmxcKd`ZO-|A?q>IA@SG!_j$lDq$#o9=A;*WYKa7;A%Q0O~_aL zhr`bx^2Cm;OFS;c6gO)6s4lHlwyYZrx29sRzMN4_W(K*q>1%0!dttWMVnU?Tzjt;o hV%8<|Xnw`#Kf-gW9?2!zD=>> a = Link(1, Link(2, Link(3))) ->>> a.first ->>> a.first = 5 ->>> a.first ->>> a.rest.first ->>> a.rest.rest.rest.rest.first ->>> a.rest.rest.rest = a ->>> a.rest.rest.rest.rest.first ->>> repr(Link(1, Link(2, Link(3, Link.empty)))) ->>> Link(1, Link(2, Link(3, Link.empty))) ->>> str(Link(1, Link(2, Link(3)))) ->>> print(Link(Link(1), Link(2, Link(3)))) +(if (/ 1 0) 1 0) +(if 1 1 (/ 1 0)) +(if 0 (/ 1 0) 1) +(and 1 #f (/ 1 0)) +(and 1 2 3) +(or #f #f 0 #f (/ 1 0)) +(or #f #f (/ 1 0) 3 4) +(and (and) (or)) -def combine_two(lnk, fn): - """ - >>> lnk1 = Link(1, Link(2, Link(3, Link(4)))) - >>> combine_two(lnk1, add) - Link(3, Link(7)) - >>> lnk2 = Link(2, Link(4, Link(6))) - >>> combine_two(lnk2, mul) - Link(8, Link(6)) - """ - if ______________________________________: + scm> (if 2 3 4) + scm> (if 0 3 4) + scm> (- 5 (if #f 3 4)) + scm> (cond ((< -5 -7) 3) + (else 4)) - return ______________________________ - elif ____________________________________ +scm> (define c 2) +scm> (eval 'c) +scm> '(cons 1 nil) +scm> (eval '(cons 1 nil)) +scm> (eval (list 'if '(even? c) 1 2)) - return ______________________________ - combined = ______________________________ +; The hailstone sequence starting at seed = 10 would be +; 10 => 5 => 16 => 8 => 4 => 2 => 1 - return __________________________________ +; Doctests +> (hailstone 10 0) +10 +> (hailstone 10 1) +5 +> (hailstone 10 2) +16 +> (hailstone 5 1) +16 +(define (hailstone seed n) -def middle_node(lst): - """ - >>> head = Link(1, Link(2, Link(3, Link(4, Link(5))))) - >>> middle_node(head) - Link(3, Link(4, Link(5))) # The middle node of the list is node 3 - >>> head = Link(1, Link(2, Link(3, Link(4, Link(5, Link(6)))))) - Link(4, Link(5, Link(6))) # Since the list has two middle nodes with values 3 and 4, we return the second one - """ - list_iter, middle = _______________, ________________ - - length = _________________________________ - while _________________________________: - length = _________________________________ - list_iter = _________________________________ - - for _________________________________: - middle = _________________________________ - - if length % 2 == 1: - middle = _________________________________ - return middle -def middle_node(lst): - list_iter, middle = _______________, ________________ - while ___________________ and ___________________: - - list_iter = _________________________________ - - middle = _________________________________ - - return middle - - - - def insert_all(s, x, index): - """ - >>> insert = Link(3, Link(4)) - >>> original = Link(1, Link(2, Link(5))) - >>> insert_all(original, insert, 2) - Link(1, Link(2, Link(3, Link(4, Link(5))))) - >>> start = Link(1) - >>> insert_all(original, start, 0) - Link(1, Link(1, Link(2, Link(5)))) - """ - if ___________________ and ___________________: - - ___________________________________________ - - if ___________________ and ___________________: - - ___________________________________________ - - _______________________________________________ - - - -def delete_path_duplicates(t): - """ - >>> t = Tree(1, [Tree(2, [Tree(1), Tree(1)])]) - >>> delete_path_duplicates(t) - >>> t - Tree(1, [Tree(2, [Tree(-1), Tree(-1)])]) - >>> t2 = Tree(1, [Tree(2), Tree(2, [Tree(2, [Tree(1, [Tree(5)])])])]) - >>> delete_path_duplicates(t2) - >>> t2 - Tree(1, [Tree(2), Tree(2, [Tree(-1, [Tree(-1, [Tree(5)])])])]) - """ - def helper(_______________, _______________): - - if ________________________________: - - ________________________________ - - else: - - ________________________________ - - for _______ in ____________________: - - ________________________________ - - ________________________________________ - - - -def replace_leaves_sum(t): - """ - >>> t = Tree(1, [Tree(3, [Tree(2), Tree(8)]), Tree(5)]) - >>> replace_leaves_sum(t) - >>> t - Tree(1, [Tree(3, [Tree(6), Tree(12)]), Tree(6)]) - """ - def helper(______________ , _________________): - - if t.is_leaf(): - - _____________________________________ - - for b in t.branches: - - _________________________________ - - _____________________________________________ - - -def contains_n(elem, n, t): - """ - >>> t1 = Tree(1, [Tree(1, [Tree(2)])]) - >>> contains_n(1, 2, t1) - True - >>> contains_n(2, 2, t1) - False - >>> contains_n(2, 1, t1) - True - >>> t2 = Tree(1, [Tree(2), Tree(1, [Tree(1), Tree(2)])]) - >>> contains_n(1, 3, t2) - True - >>> contains_n(2, 2, t2) # Not on a path - False - """ +) +def hailstone(seed, n): if n == 0: - - return True - - elif ___________________________________________: - - return _____________________________________ - - elif ___________________________________________: - - return _____________________________________ - - else: - - return _____________________________________ - - -def make_digit_remover(i): - """ - >>> remove_two = make_digit_remover(2) - >>> remove_two(232018) - 23 - >>> remove_two(23) - 0 - >>> remove_two(99) - 99 - """ - def remove(_______): - - removed = _______________________ - - while _______________________ > 0: - - _____________________________ - - removed = removed // 10 - - if __________________________: - - _________________________ - - return __________________________ - - return __________________________ - - -def compound(base_func, prev_compound=lambda x: x): - """ - >>> add_one = lambda x: x + 1 - >>> adder = compound(add_one) - >>> adder = adder(3, 2) - 3 # 3 - 4 # f(3) - >>> adder = adder(4, 4) - 6 # f(f(4)) - 7 # f(f(f(4))) - 8 # f(f(f(f(4)))) - 9 # f(f(f(f(f(4))))) - """ - def g(x, n): - new_comp = ____________________________ - - while n > 0: - print(____________________________) - - new_comp = (lambda save_comp: \ - _______________________)(____________) - - ___________________________________________________ - - return ______________________________________________ - - return ___________________________________ - - ->>> violet = [7, 77, 17] ->>> violet.append([violet.pop(1)]) - ->>> dash = violet * 2 ->>> jack = dash[3:5] ->>> jackjack = jack.extend(jack) - ->>> helen = list(violet) ->>> helen += [jackjack] ->>> helen[2].append(violet) - - -def duplicate_list(lst): - """ - >>> duplicate_list([1, 2, 3]) - [1, 2, 2, 3, 3, 3] - >>> duplicate_list([5]) - [5, 5, 5, 5, 5] - """ - _______________________________ - - for ____________________________: - - for ____________________________: - - __________________________________ - - _______________________________ - - - -def add_up(n, lst): - """ - >>> add_up(10, [1, 2, 3, 4, 5]) - True - >>> add_up(8, [2, 1, 5, 4, 3]) - True - >>> add_up(-1, [1, 2, 3, 4, 5]) - False - >>> add_up(100, [1, 2, 3, 4, 5]) - False - """ - if __________________________________________: - - return True - - if lst == []: - - ____________________________________________________ - + return seed + if seed % 2 == 0: + return hailstone(seed//2, n - 1) else: - - first, rest = ___________________, ___________________ - - return __________________________________________ - - -def num_elems(lst): - """ - >>> list(num_elems([3, 3, 2, 1])) - [4] - >>> list(num_elems([1, 3, 5, [1, [3, 5, [5, 7]]]])) - [2, 4, 5, 8] - """ + return hailstone(3*seed + 1, n - 1) - count = _______________ - for ___________________________: + True or False: 3.14 is an atomic expression. + True or False: pi is an atomic expression. + True or False: - is an atomic expression. + True or False: // is an atomic expression. + True or False: 'b' is an atomic expression. + True or False: "is this atomic?" is an atomic expression. - if ________________________: - for _________________________________: + scm> (+ 1 (* 3 4)) + scm> (* 1 (+ 3 4)) + scm> (/ 2) + scm> (- 2) + scm> (* 4 (+ 3 (- 2 (/ 1)))) - yield ___________________________ - _______________________________ - else: + scm> (if 2 3 4) + scm> (if 0 3 4) + scm> (- 5 (if #f 3 4)) + scm> (cond ((< -5 -7) 3) + (else 4)) - _______________________________ - yield ___________________________ + scm> (and #t (= 3 3) (> (- 61 42) (+ 61 42))) + scm> (or #f (< 3 3) (< (- 61 42) (+ 61 42))) diff --git a/made/mentor11_meta.pdf b/made/mentor11_meta.pdf index ca4a4eadf12340e45025d22fd0254d5fbf8fe4df..857e99ffc4fb792a1e5e2b6974f69c6f39afd001 100644 GIT binary patch delta 126252 zcmZs?V{j#0@a{XYjUC&zZQIt4J>dj9&V&<8FtKghwr$(ydCxsn|GKyC`Le1%tZ!@8 z)BWpyIyew9Z3;Gy9FmQdlP58kkp|SLqx*AR3f+IXx<|_>Cz5xFpe17s=2b4kkTQ1A zPHR8Qu5uW}jcsFc4C%g-=j86SJPr%fUVEkKotuQ9Jb8%qf8B?K_e? ziJm-}kS*8q2pV8*bSI4#1ERW9>#fl1HIpzisGw57EO#J=Rem04Bo#^6kO@R~#k@=V 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