Skip to content

Added a solution for Project Euler Problem 203 "Squarefree Binomial Coefficients" #3513

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
merged 3 commits into from
Nov 3, 2020

Conversation

fernandobperezm
Copy link
Contributor

@fernandobperezm fernandobperezm commented Oct 18, 2020

Describe your change:

Added a solution to Project Euler Problem 203 "Squarefree Binomial Coefficients" Link.

The solution is based on three main pilars.

  1. Calculate the unique coefficients of a Pascal's Triangle of depth d .
  2. Calculate the prime numbers between 2 and the maximum coefficient Cmax using a variant of the Sieve of Eratosthenes Link and considering that the square of each prime must be less or equal than that Cmax. The calculation returns the square of those primes.
  3. Calculate all squarefree numbers by decomposing each number n into n = p * p * r where p is a prime number calculated before and r is a positive integer. If no r can be found for all squared primes, then the number is squarefree, else, the number is non-squarefree.

After all unique squarefree numbers are calculated, they're summed-up to provide the final answer.

  • 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}.

@dhruvmanila dhruvmanila added awaiting changes A maintainer has requested changes to this PR good first issue labels Oct 19, 2020
{1, 2, 3, 5, 6, 7, 35, 10, 15, 21}
"""

def get_squared_primes_to_use(
Copy link
Member

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

A function within a function is mostly used as a wrapper. This doesn't seem like that so please separate them out.

Copy link
Contributor Author

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

Done, thanks for the advice!

Taking out the function also revealed that one doctest of get_squared_primes_to_use was failing. I fixed it and revisited the function to gracefully handle that failing case.

@joshuaonazi
Copy link

can you please help me in participating in the 2020 hacktoberfest, submitting the preferred PR and contributing as required by hacktoberfest thereby being eligible for the T-shirt and swags or planting a tree

@jratnani20
Copy link

hey @fernandobperezm i am intrested in doing it ..could uh plz assign it to me ?

…unction and fixed a failing doctest with the former.
@fernandobperezm
Copy link
Contributor Author

@jratnani20 @joshuaonazi I'm really sorry I did not see your messages before, this week was really busy for me and I wasn't active here. Also, I just pushed the changes requested by the reviewer :-(

Copy link
Member

@dhruvmanila dhruvmanila left a comment

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

Look perfect 👌
Thank you for your contribution! 😄

@dhruvmanila dhruvmanila merged commit ff00bfa into TheAlgorithms:master Nov 3, 2020
@fernandobperezm fernandobperezm deleted the projecteuler203 branch November 17, 2020 18:19
stokhos pushed a commit to stokhos/Python that referenced this pull request Jan 3, 2021
…oefficients" (TheAlgorithms#3513)

* Added a solution for Project Euler Problem 203 (https://projecteuler.net/problem=203)

* Simplified loop that calculates the coefficients of the Pascal's Triangle. Changes based on review suggestion.

* Moved get_squared_primes_to_use function outside the get_squarefree function and fixed a failing doctest with the former.
peRFectBeliever pushed a commit to peRFectBeliever/Python that referenced this pull request Apr 1, 2021
…oefficients" (TheAlgorithms#3513)

* Added a solution for Project Euler Problem 203 (https://projecteuler.net/problem=203)

* Simplified loop that calculates the coefficients of the Pascal's Triangle. Changes based on review suggestion.

* Moved get_squared_primes_to_use function outside the get_squarefree function and fixed a failing doctest with the former.
Panquesito7 pushed a commit to Panquesito7/Python that referenced this pull request May 13, 2021
…oefficients" (TheAlgorithms#3513)

* Added a solution for Project Euler Problem 203 (https://projecteuler.net/problem=203)

* Simplified loop that calculates the coefficients of the Pascal's Triangle. Changes based on review suggestion.

* Moved get_squared_primes_to_use function outside the get_squarefree function and fixed a failing doctest with the former.
shermanhui pushed a commit to shermanhui/Python that referenced this pull request Oct 22, 2021
…oefficients" (TheAlgorithms#3513)

* Added a solution for Project Euler Problem 203 (https://projecteuler.net/problem=203)

* Simplified loop that calculates the coefficients of the Pascal's Triangle. Changes based on review suggestion.

* Moved get_squared_primes_to_use function outside the get_squarefree function and fixed a failing doctest with the former.
@fernandobperezm fernandobperezm restored the projecteuler203 branch November 15, 2023 18:37
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Labels
awaiting changes A maintainer has requested changes to this PR good first issue
Projects
None yet
Development

Successfully merging this pull request may close these issues.

4 participants