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Added solution for Project Euler problem 75. #3129

Merged
merged 5 commits into from
Oct 16, 2020
Merged

Added solution for Project Euler problem 75. #3129

merged 5 commits into from
Oct 16, 2020

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fpringle
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@fpringle fpringle commented Oct 9, 2020

Name: Singular integer right triangles

It turns out that 12 cm is the smallest length of wire that can be bent to form an integer sided right angle triangle in exactly one way, but there are many more examples.

12 cm: (3,4,5)
24 cm: (6,8,10)
30 cm: (5,12,13)
36 cm: (9,12,15)
40 cm: (8,15,17)
48 cm: (12,16,20)

In contrast, some lengths of wire, like 20 cm, cannot be bent to form an integer sided right angle triangle, and other lengths allow more than one solution to be found; for example, using 120 cm it is possible to form exactly three different integer sided right angle triangles.

120 cm: (30,40,50), (20,48,52), (24,45,51)

Given that L is the length of the wire, for how many values of L ≤ 1,500,000 can exactly one integer sided right angle triangle be formed?

Reference: https://projecteuler.net/problem=75
Reference: #2695

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation.
  • If this pull request resolves one or more open issues then the commit message contains Fixes: #{$ISSUE_NO}.

@fpringle fpringle changed the title Added solution for Project Euler problem 75. Fixes: #2695 Added solution for Project Euler problem 75. Reference: #2695 Oct 9, 2020
@fpringle fpringle changed the title Added solution for Project Euler problem 75. Reference: #2695 Added solution for Project Euler problem 75. Oct 10, 2020
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Travis tests have failed

Hey @fpringle,
Please read the following log in order to understand the failure reason.
It'll be awesome if you fix what's wrong and commit the changes.

TravisBuddy Request Identifier: 4bd0dec0-0d95-11eb-9111-f326d0cb7f09

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This message is sent to all pull requests which are OPEN, NOT MERGED, not containing 'wontfix' label and contains 'Project Euler' or 'Project' or 'Euler' (case doesn't matter) in their title. If this message doesn't apply to your pull request, please ignore this.

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This is to notify all the users submitting a pull request for the Project Euler solution that the README.md file has been updated with all the style requirements necessary for the directory and solution files. Please read through it and make all the necessary changes required to your submission.

@dhruvmanila dhruvmanila added the awaiting changes A maintainer has requested changes to this PR label Oct 16, 2020
@dhruvmanila dhruvmanila merged commit 9643d30 into TheAlgorithms:master Oct 16, 2020
@dhruvmanila dhruvmanila removed the awaiting changes A maintainer has requested changes to this PR label Oct 16, 2020
@fpringle fpringle deleted the problem_75 branch October 16, 2020 10:32
stokhos pushed a commit to stokhos/Python that referenced this pull request Jan 3, 2021
* Added solution for Project Euler problem 75. 

* Added doctest for solution() in project_euler/problem_75/sol1.py

* Update docstring and 0-padding of directory name. Reference: TheAlgorithms#3256

* More descriptive variable names

* Moved solution explanation to module-level docstring
Panquesito7 pushed a commit to Panquesito7/Python that referenced this pull request May 13, 2021
* Added solution for Project Euler problem 75. 

* Added doctest for solution() in project_euler/problem_75/sol1.py

* Update docstring and 0-padding of directory name. Reference: TheAlgorithms#3256

* More descriptive variable names

* Moved solution explanation to module-level docstring
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3 participants