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  • Implemented efficient Weighted Job Scheduling algorithm using Dynamic Programming and Binary Search
  • Time Complexity: O(n log n), Space Complexity: O(n)
  • Added comprehensive documentation and example usage
  • Includes proper author attribution and date
  • Fixed linting issues: removed unused imports and applied formatting

Hacktoberfest contribution - Dynamic Programming implementation for finding maximum profit from non-overlapping job intervals

Describe your change:

This PR adds a new Weighted Job Scheduling algorithm to the dynamic programming section. The algorithm solves the classic problem of selecting a subset of jobs with maximum total profit where no two jobs overlap in time. The solution uses dynamic programming combined with binary search for optimal efficiency.

Key Features:

  • Sorts jobs by finish time for optimal processing order
  • Uses binary search to find the last non-conflicting job
  • Dynamic programming approach to build up maximum profit table
  • Handles edge cases and includes comprehensive documentation
  • Complete with example usage and test cases

Algorithm Details:

  • Input: List of jobs with (start_time, end_time, profit)
  • Output: Maximum profit achievable without job overlaps
  • Approach: DP + Binary Search for efficient non-conflict detection
  • Real-world applications: Task scheduling, resource allocation, project management
  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
  • 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 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".

- Implemented efficient Weighted Job Scheduling algorithm using Dynamic Programming and Binary Search
- Time Complexity: O(n log n), Space Complexity: O(n)
- Added comprehensive documentation and example usage
- Includes proper author attribution and date
- Fixed linting issues: removed unused imports and applied formatting

Hacktoberfest contribution - Dynamic Programming implementation for finding maximum profit from non-overlapping job intervals
@algorithms-keeper algorithms-keeper bot added require descriptive names This PR needs descriptive function and/or variable names require tests Tests [doctest/unittest/pytest] are required require type hints https://docs.python.org/3/library/typing.html labels Oct 9, 2025
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Click here to look at the relevant links ⬇️

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"""


def find_last_non_conflicting(jobs, index):

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As there is no test file in this pull request nor any test function or class in the file dynamic_programming/weighted_job_scheduling.py, please provide doctest for the function find_last_non_conflicting

Please provide return type hint for the function: find_last_non_conflicting. If the function does not return a value, please provide the type hint as: def function() -> None:

Please provide type hint for the parameter: jobs

Please provide type hint for the parameter: index

return -1


def weighted_job_scheduling(jobs):

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As there is no test file in this pull request nor any test function or class in the file dynamic_programming/weighted_job_scheduling.py, please provide doctest for the function weighted_job_scheduling

Please provide return type hint for the function: weighted_job_scheduling. If the function does not return a value, please provide the type hint as: def function() -> None:

Please provide type hint for the parameter: jobs

"""

# Step 1: Sort jobs by their finish time
jobs.sort(key=lambda x: x[1])

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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 9, 2025
- Fixed remaining line length issues in docstrings
- All lines now comply with 88 character limit
- Removed trailing whitespace
- Addresses algorithms-keeper bot formatting requirements
@algorithms-keeper algorithms-keeper bot removed require descriptive names This PR needs descriptive function and/or variable names require tests Tests [doctest/unittest/pytest] are required require type hints https://docs.python.org/3/library/typing.html labels Oct 9, 2025
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