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Exercise_1.py (Binary Search):

  • Correctness: The implementation correctly follows the binary search algorithm. It handles the search space reduction properly and returns the correct index or -1 if not found.
  • Time Complexity: Correctly identified as O(log n).
  • Space Complexity: Correctly identified as O(1).
  • Code Quality: Clean and readable. The variable names are appropriate.
  • Improvement: Could add input validation to ensure the array is sorted before searching.

Exercise_2.py (QuickSort Recursive):

  • Correctness: The partition function and recursive quicksort implementation are correct.
  • Time Complexity: Average case O(n log n), worst case O(n^2) if the pivot selection is poor.
  • Space Complexity: O(log n) for the recursion stack (not mentioned in comments).
  • Code Quality: Well-structured. The partition logic is clear.
  • Improvement: Could optimize pivot selection (e.g., median-of-three) to avoid worst-case scenarios.

Exercise_3.py (Linked List Middle Element):

  • Correctness: Correctly implements the fast/slow pointer approach to find the middle.
  • Time Complexity: Correctly identified as O(n).
  • Space Complexity: Correctly identified as O(n) for the linked list.
  • Code Quality: Good structure. The push method efficiently maintains head and tail pointers.
  • Improvement: Could add error handling for empty list case in printMiddle().

Exercise_4.py (MergeSort):

  • Correctness: Correct implementation of the merge sort algorithm.
  • Time Complexity: O(n log n) in all cases.
  • Space Complexity: O(n) for the temporary arrays (not mentioned in comments).
  • Code Quality: Clean implementation. The merge logic is clear.
  • Improvement: Could optimize space usage by using a single auxiliary array.

Exercise_5.py (QuickSort Iterative):

  • Correctness: Correctly implements iterative quicksort using a stack.
  • Time Complexity: Same as recursive version (average O(n log n), worst O(n^2)).
  • Space Complexity: O(log n) for the stack (better than recursive version's worst case).
  • Code Quality: Good conversion from recursive to iterative approach.
  • Improvement: Same pivot selection optimization as Exercise_2 applies here.

General Strengths:

  • All implementations follow standard algorithms correctly.
  • Good code organization and readability.
  • Appropriate comments explaining complexities.

Areas for Improvement:

  • Could add more edge case handling (empty inputs, etc.).
  • Some space complexity explanations could be more detailed.
  • Some algorithms could benefit from optimizations (pivot selection, space usage).

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