Before you turn this problem in, make sure everything runs as expected. First, restart the kernel (in the menubar, select Kernel$\rightarrow$Restart) and then run all cells (in the menubar, select Cell$\rightarrow$Run All).
Make sure you fill in any place that says YOUR CODE HERE
or "YOUR ANSWER HERE", as well as your name and collaborators below:
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NAME = ""
COLLABORATORS = ""
For this problem set, we'll be using the Jupyter notebook:
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def squares(n):
"""Compute the squares of numbers from 1 to n, such that the
ith element of the returned list equals i^2.
"""
# YOUR CODE HERE
raise NotImplementedError()
Your function should print [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]
for $n=10$. Check that it does:
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squares(10)
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"""Check that squares returns the correct output for several inputs"""
assert squares(1) == [1]
assert squares(2) == [1, 4]
assert squares(10) == [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]
assert squares(11) == [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121]
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"""Check that squares raises an error for invalid inputs"""
try:
squares(0)
except ValueError:
pass
else:
raise AssertionError("did not raise")
try:
squares(-4)
except ValueError:
pass
else:
raise AssertionError("did not raise")
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def sum_of_squares(n):
"""Compute the sum of the squares of numbers from 1 to n."""
# YOUR CODE HERE
raise NotImplementedError()
The sum of squares from 1 to 10 should be 385. Verify that this is the answer you get:
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sum_of_squares(10)
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"""Check that sum_of_squares returns the correct answer for various inputs."""
assert sum_of_squares(1) == 1
assert sum_of_squares(2) == 5
assert sum_of_squares(10) == 385
assert sum_of_squares(11) == 506
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"""Check that sum_of_squares relies on squares."""
orig_squares = squares
del squares
try:
sum_of_squares(1)
except NameError:
pass
else:
raise AssertionError("sum_of_squares does not use squares")
finally:
squares = orig_squares
YOUR ANSWER HERE
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# YOUR CODE HERE
raise NotImplementedError()