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Questions and Answers
What will be the output of the expression f1(4)?
What will be the output of the expression f1(4)?
What will be the value of the expression f1(2) + f1(1)?
What will be the value of the expression f1(2) + f1(1)?
What will be the result of the expression f1(x + 1) where x is assigned the value 4?
What will be the result of the expression f1(x + 1) where x is assigned the value 4?
What will be the value of x after the expression x = 4 is evaluated?
What will be the value of x after the expression x = 4 is evaluated?
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What does the function f2 return when called with f2(3, 2)?
What does the function f2 return when called with f2(3, 2)?
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What will the variable r be after executing the code snippet that includes the definition of f2?
What will the variable r be after executing the code snippet that includes the definition of f2?
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What will the output be of the expression 'cat' in L after executing L = ['c', 'a', 't']?
What will the output be of the expression 'cat' in L after executing L = ['c', 'a', 't']?
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Which Python expression correctly translates the propositional logic (¬(¬p)) ⇔ p?
Which Python expression correctly translates the propositional logic (¬(¬p)) ⇔ p?
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What is the result of the expression len(L) == len('cat') after L = ['c', 'a', 't']?
What is the result of the expression len(L) == len('cat') after L = ['c', 'a', 't']?
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Which of the following Python expressions accurately represents the propositional logic expression ((p ∨ q) ∧ ¬p) ⇒ q?
Which of the following Python expressions accurately represents the propositional logic expression ((p ∨ q) ∧ ¬p) ⇒ q?
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After executing d = {x: x * 3 for x in [1, 2, 3]}, what will be the contents of the dictionary d?
After executing d = {x: x * 3 for x in [1, 2, 3]}, what will be the contents of the dictionary d?
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What will be the output of the statement d == {2: 6, 3: 9, 1: 3} after d has been assigned the dictionary created previously?
What will be the output of the statement d == {2: 6, 3: 9, 1: 3} after d has been assigned the dictionary created previously?
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Which function will return the smallest value in the list defined as numbers_list = [x for x in range(5, 50)]?
Which function will return the smallest value in the list defined as numbers_list = [x for x in range(5, 50)]?
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What does the output of max(numbers_list) represent after executing numbers_list = [x for x in range(5, 50)]?
What does the output of max(numbers_list) represent after executing numbers_list = [x for x in range(5, 50)]?
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What is the expected output of str.upper(gl) where gl = 'good luck, we're rooting for you!'?
What is the expected output of str.upper(gl) where gl = 'good luck, we're rooting for you!'?
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What will be the output of the expression 'good' in gl?
What will be the output of the expression 'good' in gl?
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What does the function get_uppercase return when given the input ['Good', 'CODE', 'is its own', 'BEST', 'documentation.']?
What does the function get_uppercase return when given the input ['Good', 'CODE', 'is its own', 'BEST', 'documentation.']?
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In the check_scores function, what will it return if the input is [95, 115]?
In the check_scores function, what will it return if the input is [95, 115]?
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What is the purpose of the any() function in the check_scores function?
What is the purpose of the any() function in the check_scores function?
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What will the function return when provided with an input of [5, 10, 15, 20] in check_scores?
What will the function return when provided with an input of [5, 10, 15, 20] in check_scores?
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Which of the following statements about the check_scores function is true?
Which of the following statements about the check_scores function is true?
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What is the expected output of check_scores([115, 160, 130])?
What is the expected output of check_scores([115, 160, 130])?
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In the context of the function get_uppercase, what is a key requirement for a string to be included in the resulting list?
In the context of the function get_uppercase, what is a key requirement for a string to be included in the resulting list?
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What does the check_all variable in the check_scores function signify?
What does the check_all variable in the check_scores function signify?
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What is the expected output of the function get_common_numbers if both inputs do not have common elements?
What is the expected output of the function get_common_numbers if both inputs do not have common elements?
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Which statement correctly describes the Fibonacci sequence as noted in the content?
Which statement correctly describes the Fibonacci sequence as noted in the content?
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What is the precondition for the function is_fibonacci to operate correctly?
What is the precondition for the function is_fibonacci to operate correctly?
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In the function get_common_numbers, what type of data structure should the return type be?
In the function get_common_numbers, what type of data structure should the return type be?
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What is a potential reason that the current implementation of is_fibonacci might fail for certain inputs?
What is a potential reason that the current implementation of is_fibonacci might fail for certain inputs?
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What would be a correct sample input for the test case test_is_fibonacci_error?
What would be a correct sample input for the test case test_is_fibonacci_error?
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Which of the following statements about built-in functions/methods in Python can be inferred from the hints given in the content?
Which of the following statements about built-in functions/methods in Python can be inferred from the hints given in the content?
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What Python function will check if all elements in a sequence meet a specific condition, as used in is_fibonacci?
What Python function will check if all elements in a sequence meet a specific condition, as used in is_fibonacci?
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What is the expected output of calling is_fibonacci([0, 1, 1, 2, 3, 5, 8, 13, 21])?
What is the expected output of calling is_fibonacci([0, 1, 1, 2, 3, 5, 8, 13, 21])?
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What is a precondition stated for the is_fibonacci function?
What is a precondition stated for the is_fibonacci function?
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What mistake is potentially present in the is_fibonacci implementation?
What mistake is potentially present in the is_fibonacci implementation?
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If the function is_fibonacci is correctly implemented, what output will is_fibonacci([0, 1, 4, 9, 16, 25, 36, 49, 64, 81]) produce?
If the function is_fibonacci is correctly implemented, what output will is_fibonacci([0, 1, 4, 9, 16, 25, 36, 49, 64, 81]) produce?
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In terms of Fibonacci sequence definitions, which of the following statements is true?
In terms of Fibonacci sequence definitions, which of the following statements is true?
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What does the term 'divisibility predicate' refer to in the given content?
What does the term 'divisibility predicate' refer to in the given content?
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Which of the following represents an example of a number n being divisible by n squared, as stated in the context?
Which of the following represents an example of a number n being divisible by n squared, as stated in the context?
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What does the output of the function assert actual == expected signify?
What does the output of the function assert actual == expected signify?
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Study Notes
Data Types and Expressions
-
'cat' in L
evaluates toFalse
because the listL
does not contain the string'cat'
, only the characters'c'
,'a'
, and't'
. -
len(L) == len('cat')
evaluates toTrue
because bothL
and'cat'
have a length of 3. -
d == {2: 6, 3: 9, 1: 3}
evaluates toTrue
due to the dictionary comprehension assignment where each elementx
in the list[1, 2, 3]
is mapped tox * 3
. -
d
evaluates to{1: 3, 2: 6, 3: 9}
because dictionaries are unordered. -
min(numbers_list)
evaluates to5
asnumbers_list
contains numbers from 5 to 49. -
max(numbers_list)
evaluates to49
asnumbers_list
contains numbers from 5 to 49. -
str.upper(gl)
evaluates to'GOOD LUCK, WE'RE ROOTING FOR YOU!'
because theupper()
method converts all characters in the string to uppercase. -
'good' in gl
evaluates toTrue
as the substring'good'
is present in the stringgl
.
Function Basics
-
f1(4)
evaluates to8
due to the function definitionf1(x: int) -> int: return x * 2
. -
f1(2) + f1(1)
evaluates to6
becausef1(2)
returns4
andf1(1)
returns2
, summing to6
. -
f1(x + 1)
evaluates to10
becausex
is4
, sox + 1
is5
, andf1(5)
returns10
. -
x
still evaluates to4
as the functionf1
does not modify the global variablex
. -
f2(3, 2)
evaluates toTrue
becausef1(3)
returns6
,6 % 2
is0
, andr == 0
isTrue
. -
r
is undefined in this context as it is a local variable within thef2
function.
Symbolic Logic and Python Translation
- All cute animals are fluffy: ∀a ∈ A, IsCute(a) ⇒ IsFluffy(a)
- At least one cute animal is fluffy: ∃a ∈ A, IsCute(a) ∧ IsFluffy(a)
-
(¬(¬p)) ⇔ p:
(not (not p)) == p
-
((p ∨ q) ∧ ¬p) ⇒ q:
((p or q) and not p) == q
Filtering Collections and String Methods
-
def get_uppercase(lst: list[str]) -> list[str]:
-
return sorted([s for s in lst if s.isupper()])
-
If Statements
-
def check_scores(scores: list[int]) -> str:
-
check_all = all([score >= 100 for score in scores])
-
check_at_least_one = any([score >= 100 for score in scores])
-
if check_all:
-
return 'Great work'
-
-
elif check_at_least_one:
-
return 'Good work'
-
-
else:
-
return 'Better luck next time'
-
-
Function Design Recipe - get_common_numbers
-
def get_common_numbers(L1: list[int], L2: list[int]) -> set[int]:
-
"""Return a set containing the common numbers in L1 and L2 (i.e., those numbers present in both lists).
-
>>> L1 = [10, 20, 30, 40, 50]
-
>>> L2 = [60, 70, 80, 30, 10]
-
>>> numbers = get_common_numbers(L1, L2)
-
>>> numbers == {10, 30}
-
True
-
>>> L1 = [10, 20, 30, 40, 50]
-
>>> L2 = [60, 70, 80]
-
>>> get_common_numbers(L1, L2)
-
set()
-
"""
-
return set(L1) & set(L2)
-
Debugging and Testing - is_fibonacci
-
def test_is_fibonacci_error() -> None:
-
"""A test case for is_fibonacci that reveals an error in the given implementation.If we ran this test with pytest and the current implementation, we would expect
-
this test to *fail* because of the error in the function body."""
-
actual = is_fibonacci([0, 1, 1, 2, 3, 5, 8, 13, 21, 34])
-
expected = False
-
assert actual == expected
-
- Error: The original implementation fails to validate the first two elements of the list.
-
def is_fibonacci(s: list[int]) -> bool:
-
"""Return whether list s contains the Fibonacci sequence of length len(s).The Fibonacci sequence of length n is the sequence of n numbers
-
0, 1, 1, 2, 3, 5, 8, 13,...Every number after the second is the sum of the previous two numbers.The first number must be 0 and the second number must be 1.Preconditions:
-
- len(s) > 2
-
>>> is_fibonacci([0, 1, 1, 2, 3, 5, 8, 13, 21])
-
True
-
>>> is_fibonacci([0, 1, 4, 9, 16, 25, 36, 49, 64, 81])
-
False
-
"""
-
return s[0] == 0 and s[1] == 1 and all([s[i + 2] == s[i] + s[i + 1] for i in range(0, len(s) - 2)])
-
Proofs
- Statement (1) rewritten: ∃k ∈ Z, n = k * n
-
Proof: To prove the statement, we need to show that there exists an integer
k
for any integern
such thatn = k * n
.- Choosing
k = 1
, we get:n = 1 * n
which holds true for any integern
. - Therefore, the statement ∀n ∈ Z, n | n2 + n is proven.
- Choosing
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Description
Test your knowledge of Python data types and expressions with this quiz! Explore concepts such as lists, dictionaries, and string methods. Understand function basics and evaluate expressions relating to the different data structures in Python.