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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.java (Binary Search):

  • Correctness: The binary search implementation is mostly correct but has a logical flaw. The final else case will never be reached because all conditions are covered by the previous if-else blocks. The base case when the element is not found should be handled when l > r.
  • Time Complexity: Correctly identified as O(log n).
  • Space Complexity: Correctly identified as O(log n) due to recursion stack.
  • Code Quality: Well-structured but needs to handle the base case properly.

Exercise_2.java (QuickSort):

  • Correctness: The implementation is correct and follows the standard QuickSort algorithm.
  • Time Complexity: O(n log n) average case, O(n²) worst case (not mentioned in comments).
  • Space Complexity: O(log n) due to recursion stack (not mentioned in comments).
  • Code Quality: Clean and well-organized. Good use of helper methods.

Exercise_3.java (Linked List Middle Element):

  • Correctness: Correct implementation using fast and slow pointers.
  • Time Complexity: O(n) (not mentioned in comments).
  • Space Complexity: O(1) (not mentioned in comments).
  • Code Quality: Well-structured and readable. Good use of Node class.

Exercise_4.java (MergeSort):

  • Correctness: Correct implementation of MergeSort.
  • Time Complexity: O(n log n) (not mentioned in comments).
  • Space Complexity: O(n) (not mentioned in comments).
  • Code Quality: Well-organized with clear separation of merge and sort functions.

Exercise_5.java (Iterative QuickSort):

  • Correctness: Correct implementation using a stack to simulate recursion.
  • Time Complexity: O(n log n) average case (not mentioned in comments).
  • Space Complexity: O(n) in worst case due to stack usage (not mentioned in comments).
  • Code Quality: Good structure, but the XOR swap might be less readable than a standard swap.

General Suggestions:

  1. Always include comments about time and space complexity for each method.
  2. Handle edge cases explicitly (like empty array in binary search).
  3. Consider using standard swap implementation for better readability.
  4. For binary search, add the base case when the element is not found.

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