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rot cipher, difference of squares exercises
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{"track":"python","exercise":"difference-of-squares","id":"79021d92f5b24650af12a464a9f6e9d6","url":"https://exercism.io/my/solutions/79021d92f5b24650af12a464a9f6e9d6","handle":"Xevion","is_requester":true,"auto_approve":false}
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# Difference Of Squares
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Find the difference between the square of the sum and the sum of the squares of the first N natural numbers.
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The square of the sum of the first ten natural numbers is
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(1 + 2 + ... + 10)² = 55² = 3025.
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The sum of the squares of the first ten natural numbers is
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1² + 2² + ... + 10² = 385.
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Hence the difference between the square of the sum of the first
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ten natural numbers and the sum of the squares of the first ten
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natural numbers is 3025 - 385 = 2640.
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## Exception messages
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Sometimes it is necessary to raise an exception. When you do this, you should include a meaningful error message to
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indicate what the source of the error is. This makes your code more readable and helps significantly with debugging. Not
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every exercise will require you to raise an exception, but for those that do, the tests will only pass if you include
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a message.
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To raise a message with an exception, just write it as an argument to the exception type. For example, instead of
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`raise Exception`, you should write:
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```python
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raise Exception("Meaningful message indicating the source of the error")
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```
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## Running the tests
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To run the tests, run the appropriate command below ([why they are different](https://github.com/pytest-dev/pytest/issues/1629#issue-161422224)):
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- Python 2.7: `py.test difference_of_squares_test.py`
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- Python 3.4+: `pytest difference_of_squares_test.py`
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Alternatively, you can tell Python to run the pytest module (allowing the same command to be used regardless of Python version):
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`python -m pytest difference_of_squares_test.py`
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### Common `pytest` options
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- `-v` : enable verbose output
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- `-x` : stop running tests on first failure
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- `--ff` : run failures from previous test before running other test cases
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For other options, see `python -m pytest -h`
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## Submitting Exercises
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Note that, when trying to submit an exercise, make sure the solution is in the `$EXERCISM_WORKSPACE/python/difference-of-squares` directory.
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You can find your Exercism workspace by running `exercism debug` and looking for the line that starts with `Workspace`.
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For more detailed information about running tests, code style and linting,
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please see [Running the Tests](http://exercism.io/tracks/python/tests).
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## Source
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Problem 6 at Project Euler [http://projecteuler.net/problem=6](http://projecteuler.net/problem=6)
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## Submitting Incomplete Solutions
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It's possible to submit an incomplete solution so you can see how others have completed the exercise.
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def square_of_sum(number):
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return sum(range(1, number + 1)) ** 2
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def sum_of_squares(number):
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return sum(i ** 2 for i in range(1, number + 1))
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def difference_of_squares(number):
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return abs(square_of_sum(number) - sum_of_squares(number))
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import unittest
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from difference_of_squares import (
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difference_of_squares,
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square_of_sum,
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sum_of_squares
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)
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# Tests adapted from `problem-specifications//canonical-data.json` @ v1.2.0
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class DifferenceOfSquaresTest(unittest.TestCase):
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def test_square_of_sum_1(self):
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self.assertEqual(square_of_sum(1), 1)
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def test_square_of_sum_5(self):
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self.assertEqual(square_of_sum(5), 225)
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def test_square_of_sum_100(self):
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self.assertEqual(square_of_sum(100), 25502500)
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def test_sum_of_squares_1(self):
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self.assertEqual(sum_of_squares(1), 1)
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def test_sum_of_squares_5(self):
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self.assertEqual(sum_of_squares(5), 55)
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def test_sum_of_squares_100(self):
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self.assertEqual(sum_of_squares(100), 338350)
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def test_difference_of_squares_1(self):
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self.assertEqual(difference_of_squares(1), 0)
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def test_difference_of_squares_5(self):
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self.assertEqual(difference_of_squares(5), 170)
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def test_difference_of_squares_100(self):
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self.assertEqual(difference_of_squares(100), 25164150)
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if __name__ == '__main__':
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unittest.main()
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