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The student's solutions demonstrate a good understanding of fundamental algorithms and data structures. Here's a detailed evaluation for each exercise:

Exercise_1 (Binary Search):

  • Correctness: The implementation correctly follows the binary search algorithm.
  • Time Complexity: Correctly identified as O(log n).
  • Space Complexity: Correctly identified as O(1).
  • Code Quality: Clean and well-structured. The use of l+(r-l)/2 for midpoint calculation prevents potential integer overflow.
  • Improvement: Could add input validation for null array.

Exercise_2 (QuickSort):

  • Correctness: Proper implementation of QuickSort with correct partitioning.
  • Time Complexity: Correctly identified as O(n log n) average case.
  • Space Complexity: Correctly noted as O(n) for recursive stack.
  • Code Quality: Well-organized with clear separation of concerns.
  • Improvement: Could add comments explaining the pivot selection strategy.

Exercise_3 (Linked List Middle):

  • Correctness: Correct implementation using fast and slow pointers.
  • Time Complexity: Correctly identified as O(n).
  • Space Complexity: Correctly identified as O(1).
  • Code Quality: Good structure, clear variable naming.
  • Improvement: Could handle even-length lists by optionally returning both middle elements.

Exercise_4 (MergeSort):

  • Correctness: Proper implementation of MergeSort.
  • Time Complexity: Correctly identified as O(n log n).
  • Space Complexity: Correctly identified as O(n).
  • Code Quality: Well-structured with clear merge logic.
  • Improvement: Could optimize space usage by creating one temporary array instead of two.

Exercise_5 (Iterative QuickSort):

  • Correctness: Correct iterative implementation using stack.
  • Time Complexity: Correctly identified as O(n log n).
  • Space Complexity: Correctly identified as O(n).
  • Code Quality: Good use of stack to replace recursion.
  • Improvement: The swap implementation could be problematic with very large numbers due to potential integer overflow. Consider using a temporary variable instead.

General Strengths:

  • Consistent style and formatting
  • Correct time/space complexity analysis
  • Proper implementation of algorithms
  • Good use of comments where needed

General Areas for Improvement:

  • Could add more input validation
  • Some implementations could be more space efficient
  • Could add more test cases for edge conditions

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