Array1: Problem Solutions_RN32MAY2025DS

[Feminto]

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[super30admin]

1. Correctness:

   • DiagonalTraverse.py: The solution correctly implements the diagonal traversal of a matrix, handling both upward and downward directions appropriately.
   • ProductOfArrayExceptSelf.py: The brute force approach is correct but inefficient. The optimized approaches (1 and 2) correctly compute the product of the array except self using prefix and suffix products, with the second optimized approach being more space-efficient.
   • SpiralMatrix.py: The solution correctly implements the spiral order traversal of a matrix, handling all four directions (top, right, bottom, left) and adjusting boundaries appropriately.

2. Time Complexity:

   • DiagonalTraverse.py: O(m*n), where m and n are the dimensions of the matrix. This is optimal for this problem.
   • ProductOfArrayExceptSelf.py:
     • Brute force: O(n^2), which is inefficient.
     • Optimized approaches: O(n), which is optimal.
   • SpiralMatrix.py: O(m*n), which is optimal for traversing all elements of the matrix.

3. Space Complexity:

   • DiagonalTraverse.py: O(m*n) for the result array, which is necessary for the output.
   • ProductOfArrayExceptSelf.py:
     • Brute force: O(1) additional space (excluding the output array).
     • Optimized approach 1: O(n) for left and right arrays.
     • Optimized approach 2: O(1) additional space (excluding the output array), which is optimal.
   • SpiralMatrix.py: O(m*n) for the result array, which is necessary for the output.

4. Code Quality:

   • The code is generally well-structured and readable. Variable names are descriptive, and the logic is clear.
   • Minor issues:
     • In SpiralMatrix.py, the filename is misspelled as "SprialMatrix.py" (missing an 'i').
     • In ProductOfArrayExceptSelf.py, the check if nums == None or len(nums) == 0 could be simplified to if not nums.
     • The comments in the code are helpful but could be more concise in some places.

5. Efficiency:

   • DiagonalTraverse.py and SpiralMatrix.py are already optimal in terms of time and space complexity.
   • ProductOfArrayExceptSelf.py: The brute force approach is inefficient, but the student has correctly identified and implemented optimized solutions. The second optimized approach is particularly efficient in terms of space.

Areas for Improvement:

• Fix the filename typo in SpiralMatrix.py.
• Simplify the condition checks for empty arrays.
• Consider adding edge case tests (e.g., empty matrix, single-row matrix, single-column matrix) to ensure robustness.