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@ManishaRana1195
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Strengths:

  • The student has provided multiple approaches to solve the problem, demonstrating a deep understanding of dynamic programming.
  • The code is well-commented and easy to follow.
  • The space optimization approach is a significant improvement over the reference solution.

Areas for Improvement:

  • The recursive approach could be optimized further by pruning branches where the current cost exceeds the minimum found so far.
  • The memoization approach could use a more efficient key structure (e.g., a pair of integers) instead of a List to improve performance.
  • The tabulation approach could be simplified by directly using the costs array instead of creating a separate DP table.

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