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Exercise_1.cpp (Binary Search):

  • Correctness: The binary search implementation is mostly correct but has a bug in calculating the mid index ((r-1) should be (r-l)). This would cause incorrect behavior.
  • Time Complexity: Correctly identified as O(logn).
  • Space Complexity: Correctly identified as O(logn) due to recursion stack.
  • Code Quality: Well-structured and readable. The recursive approach is clear.
  • Efficiency: The bug in mid calculation needs to be fixed for correct functionality.

Exercise_2.cpp (QuickSort):

  • Correctness: The implementation has a logical error in the partition function where the swap outside the loop is incorrectly placed inside the loop.
  • Time Complexity: Would be O(nlogn) if implemented correctly.
  • Space Complexity: O(logn) due to recursion stack, which is correct.
  • Code Quality: Generally good structure but the partition function needs fixing.
  • Efficiency: The partition function needs to be corrected for proper sorting.

Exercise_3.cpp (Middle of Linked List):

  • Correctness: Correctly implements the fast/slow pointer approach to find the middle.
  • Time Complexity: O(n) as it traverses the list once.
  • Space Complexity: O(1), correct for this approach.
  • Code Quality: Well-structured and readable. Good use of pointers.
  • Efficiency: Optimal solution for this problem.

Exercise_4.cpp (Merge Sort):

  • Correctness: Correct implementation of merge sort.
  • Time Complexity: O(nlogn), correctly implemented.
  • Space Complexity: O(n) for temporary arrays, which is standard for merge sort.
  • Code Quality: Well-structured and readable. Good separation of merge and sort functions.
  • Efficiency: Standard implementation, no obvious optimizations needed.

Exercise_5.cpp (Iterative QuickSort):

  • Correctness: Correct implementation of iterative quicksort using a stack.
  • Time Complexity: O(nlogn) on average.
  • Space Complexity: O(logn) for the stack, which is correct.
  • Code Quality: Well-structured and readable. Good use of stack for iteration.
  • Efficiency: Good implementation of iterative approach to avoid recursion stack limits.

General Observations:

  • The student demonstrates good understanding of algorithms but needs to be more careful with implementation details.
  • Code is generally well-structured and readable.
  • Comments are appropriate and helpful.
  • Some solutions have critical bugs that need fixing.
  • Time and space complexity analysis is generally correct.

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