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Description of Change

This pull request adds a Python implementation of the Sliding Window XOR problem to the Bit Manipulation section.

The algorithm calculates the bitwise XOR of every window of size k in an array of n integers generated using the recurrence relation:

arr[0] = x                  # first element
arr[i] = (multiplier * arr[i-1] + increment) % modulo  # for i = 1 to n-1

It maintains a sliding window of size k using two pointers, efficiently computing the cumulative XOR of all windows in O(n) time with O(n) space.

The submission is self-contained, with detailed docstrings, a class-based interface (SlidingWindowXOR), and a main section that runs multiple verified test cases to ensure correctness.

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 include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

@algorithms-keeper algorithms-keeper bot added the require descriptive names This PR needs descriptive function and/or variable names label Oct 3, 2025
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Click here to look at the relevant links ⬇️

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result = solver.compute(n, k, x, multiplier, increment, modulo)
"""

def compute(self, n: int, k: int, x: int, multiplier: int,

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Please provide descriptive name for the parameter: n

Please provide descriptive name for the parameter: k

Please provide descriptive name for the parameter: x

@algorithms-keeper algorithms-keeper bot added the awaiting reviews This PR is ready to be reviewed label Oct 3, 2025
@algorithms-keeper algorithms-keeper bot added the tests are failing Do not merge until tests pass label Oct 3, 2025
@algorithms-keeper algorithms-keeper bot removed the require descriptive names This PR needs descriptive function and/or variable names label Oct 3, 2025
@algorithms-keeper algorithms-keeper bot removed the tests are failing Do not merge until tests pass label Oct 3, 2025
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