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Add randomized heap. #3241

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Merged
merged 3 commits into from
Oct 14, 2020
Merged

Add randomized heap. #3241

merged 3 commits into from
Oct 14, 2020

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Phil9l
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@Phil9l Phil9l commented Oct 12, 2020

Add randomized heap data structure

A data structure that allows inserting a new value and to pop the smallest values. Both operations take O(logN) time where N is the size of the structure.
Wiki: https://en.wikipedia.org/wiki/Randomized_meldable_heap

  • 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}.

@Phil9l Phil9l requested a review from cclauss as a code owner October 12, 2020 21:10
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Travis tests have failed

Hey @Phil9l,
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: 3924a780-0d8f-11eb-9111-f326d0cb7f09

"""
self._root = None

def to_sorted_list(self) -> List[T]:
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"""
result = []
while self:
result.append(self.pop())
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It would surprise me as a user of this class that requesting a list would remove all data from the heap.

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Do you suggest to add all the items back to the heap at the end of the method?

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@cclauss cclauss Oct 14, 2020

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I would suggest that you replace .to_sorted_list() with .__iter__() and that method should not use .pop() but should just yield values as it walks thru the heap.

Please search this repo for instances of __intr__() to see how this is done.

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I mean I know how __iter__ works in python. But we can't iterate over heap to get sorted values. In BST we know where is the next element but in the heap, we can only pop the smallest. We can't get the second element.

I can do it like this since __iter__ can work in time larger than O(1). And we don't need the structure to be thread-safe, we can modify it. So poping and pushing back works.

WDYT?

    def __iter__(self) -> Iterator[T]:
        """
        Returns sorted list containing all the values in the heap.

        >>> sh = RandomizedHeap([3, 1, 3, 7])
        >>> list(sh)
        [1, 3, 3, 7]
        """
        result = []
        while self:
            result.append(self.pop())

        # Pushing items back to the heap not to clear it.
        for item in result:
            self.insert(item)

        return iter(result)

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Good enough for now. Thanks for doing this!

structure.
Wiki: https://en.wikipedia.org/wiki/Randomized_meldable_heap

>>> RandomizedHeap([2, 3, 1, 5, 1, 7]).to_sorted_list()
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Suggested change
>>> RandomizedHeap([2, 3, 1, 5, 1, 7]).to_sorted_list()
>>> list(RandomizedHeap([2, 3, 1, 5, 1, 7]))

Should pass if .__iter__() is properly implemented.

@Phil9l Phil9l mentioned this pull request Oct 14, 2020
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Well done!!

@cclauss cclauss merged commit f0aa63f into TheAlgorithms:master Oct 14, 2020
stokhos pushed a commit to stokhos/Python that referenced this pull request Jan 3, 2021
Panquesito7 pushed a commit to Panquesito7/Python that referenced this pull request May 13, 2021
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3 participants