A Pythagorean triplet is a set of three natural numbers, {a, b, c}, for which,
a**2 + b**2 = c**2
and such that,
a < b < c
For example,
3**2 + 4**2 = 9 + 16 = 25 = 5**2.
Given an input integer N, find all Pythagorean triplets for which a + b + c = N.
For example, with N = 1000, there is exactly one Pythagorean triplet for which a + b + c = 1000: {200, 375, 425}.
NOTE: The description above mentions mathematical sets, but also that a Pythagorean Triplet {a, b, c} must be ordered such that a < b < c (ascending order). This makes Python's set type unsuited to this exercise, since it is an inherently unordered container. Therefore please return a list of lists instead (i.e. [[a, b, c]]). You can generate the triplets themselves in whatever order you would like, as the enclosing list's order will be ignored in the tests.
Sometimes it is necessary to raise an exception. When you do this, you should include a meaningful error message to indicate what the source of the error is. This makes your code more readable and helps significantly with debugging. Not every exercise will require you to raise an exception, but for those that do, the tests will only pass if you include a message.
To raise a message with an exception, just write it as an argument to the exception type. For example, instead of
raise Exception, you should write:
raise Exception("Meaningful message indicating the source of the error")To run the tests, run pytest pythagorean_triplet_test.py
Alternatively, you can tell Python to run the pytest module:
python -m pytest pythagorean_triplet_test.py
-v: enable verbose output-x: stop running tests on first failure--ff: run failures from previous test before running other test cases
For other options, see python -m pytest -h
Note that, when trying to submit an exercise, make sure the solution is in the $EXERCISM_WORKSPACE/python/pythagorean-triplet directory.
You can find your Exercism workspace by running exercism debug and looking for the line that starts with Workspace.
For more detailed information about running tests, code style and linting, please see Running the Tests.
Problem 9 at Project Euler http://projecteuler.net/problem=9
It's possible to submit an incomplete solution so you can see how others have completed the exercise.