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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:

  1. Exercise_1.java (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(log n) due to recursion stack.
    • Code Quality: Well-structured and readable. The recursive approach is clean.
    • Improvement: Could mention that an iterative approach would reduce space complexity to O(1).
  2. Exercise_2.java (QuickSort):

    • Correctness: Proper implementation of QuickSort with Lomuto partition scheme.
    • Time Complexity: Correctly identified as O(n log n) average case.
    • Space Complexity: Correctly identified as O(log n) due to recursion stack.
    • Code Quality: Good structure and readability. The partition method is clear.
    • Improvement: Could handle edge cases like empty array or already sorted array.
  3. Exercise_3.java (Linked List Middle Element):

    • Correctness: Correct implementation using slow and fast pointers.
    • Time Complexity: Correctly identified as O(n).
    • Space Complexity: Correctly identified as O(1).
    • Code Quality: Clean and efficient. Good handling of empty list case.
    • Improvement: Could add comments explaining the two-pointer approach.
  4. Exercise_4.java (MergeSort):

    • Correctness: Proper implementation of MergeSort algorithm.
    • Time Complexity: Correctly identified as O(n log n).
    • Space Complexity: Correctly identified as O(n) for auxiliary arrays.
    • Code Quality: Well-organized with clear separation of merge and sort logic.
    • Improvement: Could optimize space usage by reusing temporary arrays.
  5. Exercise_5.java (Iterative QuickSort):

    • Correctness: Correct iterative implementation using stack.
    • Time Complexity: Correctly identified as O(n log n).
    • Space Complexity: Correctly identified as O(log n) for stack.
    • Code Quality: Good use of stack for iteration. XOR swap is interesting but less readable.
    • Improvement: The XOR swap, while clever, is less readable than a standard swap and could be confusing for maintenance.

General Strengths:

  • Consistent style and formatting across all solutions.
  • Correct time and space complexity analysis for each algorithm.
  • Good handling of edge cases in most implementations.

Areas for Improvement:

  • Could add more comments explaining algorithmic choices.
  • Some implementations could benefit from additional edge case handling.
  • The XOR swap in Exercise_5, while efficient, reduces readability.

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