63 lines
1.7 KiB
Markdown
63 lines
1.7 KiB
Markdown
# Pythagorean Triplet
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A Pythagorean triplet is a set of three natural numbers, {a, b, c}, for
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which,
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```text
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a**2 + b**2 = c**2
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```
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and such that,
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```text
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a < b < c
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```
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For example,
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```text
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3**2 + 4**2 = 9 + 16 = 25 = 5**2.
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```
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Given an input integer N, find all Pythagorean triplets for which `a + b + c = N`.
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For example, with N = 1000, there is exactly one Pythagorean triplet for which `a + b + c = 1000`: `{200, 375, 425}`.
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## Getting Started
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Make sure you have read the "Guides" section of the
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[C track][c-track] on the Exercism site. This covers
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the basic information on setting up the development environment expected
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by the exercises.
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## Passing the Tests
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Get the first test compiling, linking and passing by following the [three
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rules of test-driven development][3-tdd-rules].
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The included makefile can be used to create and run the tests using the `test`
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task.
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make test
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Create just the functions you need to satisfy any compiler errors and get the
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test to fail. Then write just enough code to get the test to pass. Once you've
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done that, move onto the next test.
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As you progress through the tests, take the time to refactor your
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implementation for readability and expressiveness and then go on to the next
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test.
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Try to use standard C99 facilities in preference to writing your own
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low-level algorithms or facilities by hand.
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## Source
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Problem 9 at Project Euler [http://projecteuler.net/problem=9](http://projecteuler.net/problem=9)
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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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[c-track]: https://exercism.io/my/tracks/c
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[3-tdd-rules]: http://butunclebob.com/ArticleS.UncleBob.TheThreeRulesOfTdd
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