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Overall, the student's solutions demonstrate a good understanding of fundamental algorithms like binary search, quicksort, mergesort, and linked list operations. Here's a detailed evaluation for each exercise:

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(1).
  • Code Quality: Well-structured and readable. The comments explain the approach clearly.
  • Improvement: Could mention edge cases like empty array or array with duplicate values.

Exercise_2.java (QuickSort):

  • Correctness: The implementation correctly follows the quicksort algorithm with Lomuto partition scheme.
  • Time Complexity: Correctly identified as O(n log n) average case.
  • Space Complexity: Correctly identified as O(n) for recursive stack space.
  • Code Quality: Good structure and readability. The partition logic is clear.
  • Improvement: Could mention worst-case time complexity (O(n^2)) when array is already sorted.

Exercise_3.java (Linked List Middle):

  • Correctness: The solution works but uses a less efficient approach (two passes).
  • Time Complexity: Correctly identified as O(n), but could be optimized to single pass.
  • Space Complexity: Correctly identified as O(1).
  • Code Quality: Good structure, but the comment mentions fast/slow pointers which aren't implemented.
  • Improvement: Should implement the fast/slow pointer approach as mentioned in comments for single-pass solution.

Exercise_4.java (MergeSort):

  • Correctness: The implementation correctly follows the mergesort algorithm.
  • Time Complexity: Correctly identified as O(n log n).
  • Space Complexity: Correctly identified as O(n) for auxiliary arrays.
  • Code Quality: Well-structured and readable. The merge logic is clear.
  • Improvement: Could optimize space usage by creating temporary arrays once and reusing them.

Exercise_5.java (Iterative QuickSort):

  • Correctness: The implementation correctly follows the iterative quicksort approach.
  • Time Complexity: Correctly identified as O(log n) for stack space, but sorting is O(n log n).
  • Space Complexity: Correctly identified as O(log n) for stack space.
  • Code Quality: Good structure, but the swap method is empty (should be implemented).
  • Improvement: Should implement the swap method as mentioned in comments. Could mention worst-case space complexity.

General Strengths:

  • Good understanding of algorithm fundamentals
  • Clear comments explaining approaches
  • Proper handling of edge cases in most implementations
  • Correct time and space complexity analysis

Areas for Improvement:

  • Implement all mentioned optimizations (like fast/slow pointers)
  • Complete all method implementations (like swap in Exercise_5)
  • Mention edge cases and worst-case scenarios
  • Consider space optimizations where possible

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