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The student's solutions demonstrate a strong understanding of fundamental algorithms and data structures. Here's a detailed evaluation:

  1. Correctness:
  • Binary Search (Exercise_1): Both recursive and iterative implementations are correct and handle edge cases well.
  • QuickSort (Exercise_2): The partitioning logic and recursive implementation are correct, though the pivot selection could be optimized.
  • Linked List Middle (Exercise_3): Both brute-force and optimized approaches are correctly implemented.
  • MergeSort (Exercise_4): The implementation correctly follows the divide-and-conquer approach.
  • Iterative QuickSort (Exercise_5): Correctly implements the stack-based approach to avoid recursion.
  1. Time Complexity:
  • Binary Search: Correctly identified as O(log n).
  • QuickSort: Correctly identified as O(n log n) average case and O(n²) worst case.
  • Linked List Middle: Correctly identified as O(n).
  • MergeSort: Correctly identified as O(n log n).
  • Iterative QuickSort: Correctly identified as having the same time complexity as recursive QuickSort.
  1. Space Complexity:
  • Binary Search: Correctly identified as O(log n) for recursive and O(1) for iterative.
  • QuickSort: Correctly identified as O(log n) average case and O(n) worst case.
  • Linked List Middle: Correctly identified as O(1).
  • MergeSort: Correctly identified as O(n).
  • Iterative QuickSort: Correctly identified as O(log n) average case and O(n) worst case.
  1. Code Quality:
  • The code is well-structured and readable.
  • Comments are clear and explain the logic well.
  • Edge cases are handled appropriately.
  • Variable names are meaningful.
  • The use of utility functions like isSorted is a good practice.
  1. Efficiency:
  • The swap function in QuickSort could be optimized to use XOR or a temporary variable instead of arithmetic operations to avoid potential overflow.
  • The pivot selection in QuickSort could be randomized to avoid worst-case scenarios.
  • The merge function in MergeSort could be optimized to avoid creating a new array for each merge.

Areas for Improvement:

  • The swap function in QuickSort could be more robust.
  • The pivot selection in QuickSort could be randomized to improve average-case performance.
  • The merge function in MergeSort could be optimized to reduce space usage.

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