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Add solution to Project Euler problem 135#3307

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Add solution to Project Euler problem 135#3307
mtbun wants to merge 2 commits into
TheAlgorithms:masterfrom
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@mtbun

@mtbun mtbun commented Oct 15, 2020

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Name: Same differences

Given the positive integers, x, y, and z, are consecutive terms of an arithmetic progression, the least value of the positive integer, n, for which the equation, x2 − y2 − z2 = n, has exactly two solutions is n = 27:

342 − 272 − 202 = 122 − 92 − 62 = 27

It turns out that n = 1155 is the least value which has exactly ten solutions.

How many values of n less than one million have exactly ten distinct solutions?

Reference: https://projecteuler.net/problem=135
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}.

@mtbun mtbun changed the title add solution to Project Euler problem 206 Add solution to Project Euler problem 206 Oct 15, 2020
@mtbun mtbun changed the title Add solution to Project Euler problem 206 Add solution to Project Euler problem 135 Oct 15, 2020
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This pull request has been automatically marked as stale because it has not had recent activity. It will be closed if no further activity occurs. Thank you for your contributions.

@github-actions github-actions Bot added the stale Used to mark an issue or pull request stale. label Nov 16, 2020
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stale Bot commented Nov 24, 2020

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Please reopen this pull request once you commit the changes requested or make improvements on the code. If this is not the case and you need some help, feel free to seek help from our Gitter or ping one of the reviewers. Thank you for your contributions!

@stale stale Bot closed this Nov 24, 2020
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