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Merged
merged 2 commits into from
Dec 12, 2020
Merged

Added solution for Project Euler problem 86 #4025

merged 2 commits into from
Dec 12, 2020

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fpringle
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Describe your change:

Project Euler problem 86: Cuboid route

A spider, S, sits in one corner of a cuboid room, measuring 6 by 5 by 3, and a fly, F, sits in the opposite corner. By travelling on the surfaces of the room the shortest "straight line" distance from S to F is 10 and the path is shown on the diagram.

However, there are up to three "shortest" path candidates for any given cuboid and the shortest route doesn't always have integer length.

It can be shown that there are exactly 2060 distinct cuboids, ignoring rotations, with integer dimensions, up to a maximum size of M by M by M, for which the shortest route has integer length when M = 100. This is the least value of M for which the number of solutions first exceeds two thousand; the number of solutions when M = 99 is 1975.

Find the least value of M such that the number of solutions first exceeds one million.

  • 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}.

@ghost ghost added the awaiting reviews This PR is ready to be reviewed label Dec 10, 2020
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@dhruvmanila dhruvmanila left a comment

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LGTM! 🎉

@ghost ghost removed the awaiting reviews This PR is ready to be reviewed label Dec 12, 2020
@dhruvmanila dhruvmanila merged commit a6f6eb2 into TheAlgorithms:master Dec 12, 2020
@fpringle fpringle deleted the problem_086 branch December 12, 2020 09:28
stokhos pushed a commit to stokhos/Python that referenced this pull request Jan 3, 2021
* Added solution for Project Euler problem 86

* updating DIRECTORY.md

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
peRFectBeliever pushed a commit to peRFectBeliever/Python that referenced this pull request Apr 1, 2021
* Added solution for Project Euler problem 86

* updating DIRECTORY.md

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Panquesito7 pushed a commit to Panquesito7/Python that referenced this pull request May 13, 2021
* Added solution for Project Euler problem 86

* updating DIRECTORY.md

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
shermanhui pushed a commit to shermanhui/Python that referenced this pull request Oct 22, 2021
* Added solution for Project Euler problem 86

* updating DIRECTORY.md

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
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2 participants