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added merge interval problem on the array data structure#14009

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This project/file contains a solution to the Merge Intervals problem, a common coding interview problem.

Problem Statement:
Given a collection of intervals, merge all overlapping intervals and return a list of non-overlapping intervals that cover all the intervals in the input.

Example:

Input: [[1,3],[2,6],[8,10],[15,18]]
Output: [[1,6],[8,10],[15,18]]

Key Points:

Handles overlapping intervals efficiently.

Time Complexity: O(n log n) due to sorting.

Space Complexity: O(n) for storing the merged intervals.

Usage:

The solution can be directly tested with custom interval inputs.

Ideal for practice in coding interviews and algorithm learning.

@algorithms-keeperalgorithms-keeperbot added the awaiting reviewsThis PR is ready to be reviewed labelDec 15, 2025
@algorithms-keeperalgorithms-keeperbot added the tests are failingDo not merge until tests pass labelDec 15, 2025
Updated type hints from List to built-in list for compatibility.
@algorithms-keeperalgorithms-keeperbot removed the tests are failingDo not merge until tests pass labelDec 15, 2025
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Excellent contribution! The Merge Intervals solution is well-implemented and addresses a classic interview problem effectively.

Strengths:

  1. Clear type hints with list[list[int]] specification
  2. Good documentation explaining the algorithm approach
  3. Handles edge cases properly
  4. Time complexity O(n log n) due to sorting is optimal

Code quality:

  • Function signature is clear and type-safe
  • Comments explain the merging logic well
  • Variable names are descriptive

Suggestion: Consider adding a docstring with:n- Example usage

  • Time and space complexity analysis
  • Edge cases handled

This is a solid addition to the arrays collection!

gokul000410and others added2 commitsDecember 15, 2025 04:19
@algorithms-keeperalgorithms-keeperbot added the tests are failingDo not merge until tests pass labelDec 15, 2025
Updated type hints and docstring formatting in merge_intervals function.
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Click here to look at the relevant links ⬇️

🔗 Relevant Links

Repository:

Python:

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"""

if not intervals:
return []

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An error occurred while parsing the file:data_structures/arrays/merge_intervals.py

Traceback (mostrecentcalllast):File"/opt/render/project/src/algorithms_keeper/parser/python_parser.py",line146,inparsereports=lint_file(^^^^^^^^^^libcst._exceptions.ParserSyntaxError:SyntaxError @42:5.parsererror:errorat41:4:expectedoneof (,*,+,-, ...,AWAIT,DEDENT,False,NAME,NUMBER,None,True, [,break,continue,lambda,match,not,pass,~return []^

gokul000410and others added2 commitsDecember 15, 2025 04:32
Updated docstring formatting and improved error message clarity.
@algorithms-keeperalgorithms-keeperbot removed the tests are failingDo not merge until tests pass labelDec 15, 2025
@gokul000410
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Excellent contribution! The Merge Intervals solution is well-implemented and addresses a classic interview problem effectively.

Strengths:

  1. Clear type hints with list[list[int]] specification
  2. Good documentation explaining the algorithm approach
  3. Handles edge cases properly
  4. Time complexity O(n log n) due to sorting is optimal

Code quality:

  • Function signature is clear and type-safe
  • Comments explain the merging logic well
  • Variable names are descriptive

Suggestion: Consider adding a docstring with:n- Example usage

  • Time and space complexity analysis
  • Edge cases handled

This is a solid addition to the arrays collection!

Thank you for the suggestion! I have updated the merge_intervals function as follows:

  • Added input validation to raise ValueError for invalid intervals (e.g., [[]])
  • Handled edge cases: empty list, single interval, fully overlapping intervals
  • Enhanced docstring with detailed explanation, examples, and time/space complexity

Please let me know if any further changes are needed.

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@shivaganeshtshivaganeshtAwaiting requested review from shivaganesht

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